%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT286+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.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 01:58:35 PM UTC 2026
% Result : Theorem 189.43s 29.15s
% Output : CNFRefutation 214.70s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f15711ERROR: Could not build tree for root c_199824ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+1.ax',d5_tarski) ).
fof(f18,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+1.ax',commutativity_k2_tarski) ).
fof(f25,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',rc1_xboole_0) ).
fof(f26,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',d4_xboole_0) ).
fof(f33,axiom,
! [X0] :
( v1_xboole_0(X0)
<=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',symmetry_r1_xboole_0) ).
fof(f54,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',commutativity_k2_xboole_0) ).
fof(f55,axiom,
! [X0,X1] : k2_xboole_0(X0,X0) = X0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+3.ax',t2_boole) ).
fof(f64,axiom,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+3.ax',t4_boole) ).
fof(f66,axiom,
! [X0] : k5_xboole_0(X0,k1_xboole_0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+3.ax',t5_boole) ).
fof(f68,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t1_xboole_1) ).
fof(f71,axiom,
! [X0] : r1_tarski(k1_xboole_0,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t4_xboole_1) ).
fof(f75,axiom,
! [X0,X1] : k2_xboole_0(X0,k2_xboole_0(X0,X1)) = k2_xboole_0(X0,X1),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t44_xboole_1) ).
fof(f115,axiom,
! [X0,X1] : k4_xboole_0(X0,k2_xboole_0(X0,X1)) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t46_xboole_1) ).
fof(f116,axiom,
! [X0,X1] : k4_xboole_0(X0,k3_xboole_0(X0,X1)) = k4_xboole_0(X0,X1),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t50_xboole_1) ).
fof(f120,axiom,
! [X0,X1] : k2_xboole_0(k3_xboole_0(X0,X1),k4_xboole_0(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t51_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t64_xboole_1) ).
fof(f134,axiom,
! [X0] : r1_xboole_0(X0,k1_xboole_0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t91_xboole_1) ).
fof(f161,axiom,
! [X0] : k5_xboole_0(X0,X0) = k1_xboole_0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t98_xboole_1) ).
fof(f168,axiom,
! [X0,X1,X2] : k4_xboole_0(k5_xboole_0(X0,X1),X2) = k2_xboole_0(k4_xboole_0(X0,k2_xboole_0(X1,X2)),k4_xboole_0(X1,k2_xboole_0(X0,X2))),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t99_xboole_1) ).
fof(f169,axiom,
! [X0,X1] : k4_xboole_0(X0,X1) = k5_xboole_0(X0,k3_xboole_0(X0,X1)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+5.ax',d2_enumset1) ).
fof(f230,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_xboole_0(k1_tarski(X0),k1_tarski(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+5.ax',t41_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+5.ax',t46_enumset1) ).
fof(f258,axiom,
! [X0] : k2_tarski(X0,X0) = k1_tarski(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+5.ax',t69_enumset1) ).
fof(f260,axiom,
! [X0,X1,X2] : k2_enumset1(X0,X0,X1,X2) = k1_enumset1(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+5.ax',t71_enumset1) ).
fof(f266,axiom,
! [X0,X1] : k2_enumset1(X0,X0,X0,X1) = k2_tarski(X0,X1),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t1_zfmisc_1) ).
fof(f327,axiom,
k3_tarski(k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t10_zfmisc_1) ).
fof(f337,axiom,
! [X0,X1] : r1_tarski(k1_tarski(X0),k2_tarski(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t12_zfmisc_1) ).
fof(f341,axiom,
! [X0,X1] :
~ ( X0 = X1
& r1_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t18_zfmisc_1) ).
fof(f345,axiom,
! [X0,X1] :
( k4_xboole_0(k1_tarski(X0),k1_tarski(X1)) = k1_tarski(X0)
<=> X0 != X1 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t21_zfmisc_1) ).
fof(f347,axiom,
! [X0,X1] : k4_xboole_0(k1_tarski(X0),k2_tarski(X0,X1)) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t22_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t42_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t98_zfmisc_1) ).
fof(f424,axiom,
! [X0] : k3_tarski(k1_zfmisc_1(X0)) = X0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t139_zfmisc_1) ).
fof(f471,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',fc1_subset_1) ).
fof(f473,axiom,
! [X0,X1] : ~ v1_xboole_0(k2_tarski(X0,X1)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',t63_subset_1) ).
fof(f553,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+8.ax',t10_setfam_1) ).
fof(f601,axiom,
! [X0] : k1_setfam_1(k1_tarski(X0)) = X0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t5_subset) ).
fof(f680,axiom,
? [X0] :
( v1_relat_1(X0)
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',fc2_relat_1) ).
fof(f684,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',cc1_relat_1) ).
fof(f686,axiom,
? [X0] :
( v1_relat_1(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t19_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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t22_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t65_relat_1) ).
fof(f770,axiom,
k4_relat_1(k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',t80_relat_1) ).
fof(f787,axiom,
k6_relat_1(k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+10.ax',dt_k5_relat_1) ).
fof(f909,axiom,
! [X0] : v1_relat_1(k6_relat_1(X0)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+11.ax',rc1_funct_1) ).
fof(f915,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_funct_1(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+11.ax',t51_funct_1) ).
fof(f986,axiom,
! [X0] : v2_funct_1(k6_relat_1(X0)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+13.ax',t44_relat_2) ).
fof(f1173,axiom,
! [X0] : ~ v1_xboole_0(k1_ordinal1(X0)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',t6_ordinal1) ).
fof(f1191,axiom,
! [X0,X1] :
~ ( r1_tarski(X1,X0)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',d1_ordinal1) ).
fof(f1197,axiom,
! [X0,X1] :
( k1_ordinal1(X0) = k1_ordinal1(X1)
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',t12_ordinal1) ).
fof(f1199,axiom,
! [X0] : X0 != k1_ordinal1(X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',t24_ordinal1) ).
fof(f1214,axiom,
! [X0] :
( v3_ordinal1(X0)
=> ! [X1] :
( v3_ordinal1(X1)
=> ( r2_hidden(X1,X0)
| r1_ordinal1(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',t26_ordinal1) ).
fof(f1215,axiom,
v3_ordinal1(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',t27_ordinal1) ).
fof(f1217,axiom,
! [X0] :
( v3_ordinal1(X0)
=> v3_ordinal1(k1_ordinal1(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',t29_ordinal1) ).
fof(f1218,axiom,
! [X0] :
( v3_ordinal1(X0)
=> v3_ordinal1(k3_tarski(X0)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',t31_ordinal1) ).
fof(f1220,axiom,
! [X0,X1] :
( v3_ordinal1(X1)
=> ~ ( ! [X2] :
( v3_ordinal1(X2)
=> ~ ( ! [X3] :
( v3_ordinal1(X3)
=> ( r2_hidden(X3,X0)
=> r1_ordinal1(X2,X3) ) )
& r2_hidden(X2,X0) ) )
& X0 != k1_xboole_0
& r1_tarski(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',t32_ordinal1) ).
fof(f1221,axiom,
! [X0] :
( v3_ordinal1(X0)
=> ! [X1] :
( v3_ordinal1(X1)
=> ( r2_hidden(X0,X1)
<=> r1_ordinal1(k1_ordinal1(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',t33_ordinal1) ).
fof(f1222,axiom,
! [X0] :
( v3_ordinal1(X0)
=> ! [X1] :
( v3_ordinal1(X1)
=> ( r2_hidden(X0,k1_ordinal1(X1))
<=> r1_ordinal1(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',t34_ordinal1) ).
fof(f1223,axiom,
! [X0] :
( ! [X1] :
( r2_hidden(X1,X0)
=> v3_ordinal1(X1) )
=> v3_ordinal1(k3_tarski(X0)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',t36_ordinal1) ).
fof(f1225,axiom,
! [X0] :
~ ! [X1] :
( r2_hidden(X1,X0)
<=> v3_ordinal1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',t37_ordinal1) ).
fof(f1226,axiom,
! [X0] :
~ ! [X1] :
( v3_ordinal1(X1)
=> r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',t38_ordinal1) ).
fof(f1227,axiom,
! [X0] :
? [X1] :
( ! [X2] :
( v3_ordinal1(X2)
=> ( ~ r2_hidden(X2,X0)
=> r1_ordinal1(X1,X2) ) )
& ~ r2_hidden(X1,X0)
& v3_ordinal1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',t39_ordinal1) ).
fof(f1229,axiom,
! [X0] :
( v4_ordinal1(X0)
<=> X0 = k3_tarski(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',d6_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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',t42_ordinal1) ).
fof(f1251,axiom,
! [X0,X1] :
( ( v3_ordinal1(X1)
& v3_ordinal1(X0) )
=> r1_ordinal1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',reflexivity_r1_ordinal1) ).
fof(f1252,axiom,
! [X0,X1] :
( ( v3_ordinal1(X1)
& v3_ordinal1(X0) )
=> ( r1_ordinal1(X1,X0)
| r1_ordinal1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',connectedness_r1_ordinal1) ).
fof(f1253,axiom,
! [X0,X1] :
( ( v3_ordinal1(X1)
& v3_ordinal1(X0) )
=> ( r1_ordinal1(X0,X1)
<=> r1_tarski(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+14.ax',redefinition_r1_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',t46_relset_1) ).
fof(f1315,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+17.ax',t3_partfun1) ).
fof(f1361,axiom,
k2_relat_1(k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+17.ax',t10_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+17.ax',dt_k6_partfun1) ).
fof(f1560,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+20.ax',cc1_funct_2) ).
fof(f1692,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ~ v1_xboole_0(k1_funct_2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+20.ax',fc1_funct_2) ).
fof(f1693,axiom,
! [X0] : ~ v1_xboole_0(k1_funct_2(X0,X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+20.ax',fc2_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+20.ax',t9_funct_2) ).
fof(f1710,axiom,
! [X0,X1,X2] :
( X2 = k1_funct_2(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r1_tarski(k2_relat_1(X4),X1)
& k1_relat_1(X4) = X0
& X3 = X4
& v1_funct_1(X4)
& v1_relat_1(X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+20.ax',d2_funct_2) ).
fof(f1712,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 )
=> r2_hidden(X2,k1_funct_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+20.ax',t11_funct_2) ).
fof(f1713,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_funct_2(X1,X0,X0)
& v1_funct_1(X1) )
=> r2_hidden(X1,k1_funct_2(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+20.ax',t12_funct_2) ).
fof(f1715,axiom,
! [X0] :
( X0 != k1_xboole_0
=> k1_funct_2(X0,k1_xboole_0) = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+20.ax',t14_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+20.ax',t120_funct_2) ).
fof(f1824,axiom,
! [X0,X1,X2] :
( r2_hidden(X2,k1_funct_2(X0,X1))
=> ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+20.ax',t121_funct_2) ).
fof(f1873,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( r2_hidden(X2,k1_funct_2(X0,X1))
=> ( r1_tarski(k2_relat_1(X2),X1)
& k1_relat_1(X2) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+20.ax',t169_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+25.ax',dt_k3_funct_4) ).
fof(f2196,axiom,
! [X0] :
( v3_ordinal1(X0)
=> ! [X1] :
( v3_ordinal1(X1)
=> ( r1_ordinal1(X0,X1)
<=> r1_ordinal1(k1_ordinal1(X0),k1_ordinal1(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+26.ax',t1_ordinal2) ).
fof(f2197,axiom,
! [X0] :
( v3_ordinal1(X0)
=> k3_tarski(k1_ordinal1(X0)) = X0 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+26.ax',t3_ordinal2) ).
fof(f2199,axiom,
v4_ordinal1(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+26.ax',t4_ordinal2) ).
fof(f2200,axiom,
! [X0] :
( v3_ordinal1(X0)
=> r1_ordinal1(k3_tarski(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+26.ax',t5_ordinal2) ).
fof(f2214,axiom,
! [X0] :
( v3_ordinal1(X0)
=> ? [X1] :
( v4_ordinal1(X1)
& r2_hidden(X0,X1)
& v3_ordinal1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+26.ax',t16_ordinal2) ).
fof(f2215,axiom,
! [X0] :
( ! [X1] :
( r2_hidden(X1,X0)
=> v3_ordinal1(X1) )
=> v3_ordinal1(k1_setfam_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+26.ax',t17_ordinal2) ).
fof(f2314,axiom,
? [X0] :
( v1_finset_1(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+31.ax',rc1_finset_1) ).
fof(f2315,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_finset_1(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+32.ax',cc3_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+32.ax',t17_finsub_1) ).
fof(f2404,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> r1_tarski(k5_finsub_1(X0),k5_finsub_1(X1)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+32.ax',t34_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+33.ax',t19_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+33.ax',t39_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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+33.ax',t45_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/sandbox2/benchmark/Axioms/SET007/SET007+33.ax',t64_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+34.ax',t3_fraenkel) ).
fof(f2542,axiom,
! [X0,X1] : r1_tarski(k1_funct_2(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+34.ax',t5_fraenkel) ).
fof(f2543,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2,X3] :
( ( r1_tarski(X3,X0)
& r1_tarski(X2,X1) )
=> ( ! [X4] :
( m1_subset_1(X4,k1_funct_2(X2,X3))
=> ( m2_relset_1(X4,X1,X0)
& v1_funct_1(X4) ) )
| k1_funct_2(X2,X3) = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+34.ax',t6_fraenkel) ).
fof(f2555,axiom,
! [X0,X1] :
( ( v1_finset_1(X1)
& v1_finset_1(X0) )
=> v1_finset_1(k1_funct_2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+34.ax',t16_fraenkel) ).
fof(f2632,axiom,
~ v1_xboole_0(k1_numbers),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',fc1_numbers) ).
fof(f2633,axiom,
~ v1_xboole_0(k2_numbers),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',fc2_numbers) ).
fof(f2634,axiom,
~ v1_xboole_0(k3_numbers),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',fc3_numbers) ).
fof(f2635,axiom,
~ v1_xboole_0(k4_numbers),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',fc4_numbers) ).
fof(f2649,axiom,
r1_tarski(k1_numbers,k2_numbers),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t11_numbers) ).
fof(f2650,axiom,
r1_tarski(k3_numbers,k1_numbers),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t12_numbers) ).
fof(f2651,axiom,
r1_tarski(k3_numbers,k2_numbers),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t13_numbers) ).
fof(f2652,axiom,
r1_tarski(k4_numbers,k3_numbers),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t14_numbers) ).
fof(f2653,axiom,
r1_tarski(k4_numbers,k1_numbers),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t15_numbers) ).
fof(f2654,axiom,
r1_tarski(k4_numbers,k2_numbers),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t16_numbers) ).
fof(f2655,axiom,
r1_tarski(k5_numbers,k4_numbers),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t17_numbers) ).
fof(f2656,axiom,
r1_tarski(k5_numbers,k3_numbers),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t18_numbers) ).
fof(f2657,axiom,
r1_tarski(k5_numbers,k1_numbers),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t19_numbers) ).
fof(f2658,axiom,
r1_tarski(k5_numbers,k2_numbers),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t20_numbers) ).
fof(f2659,axiom,
k1_numbers != k2_numbers,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t21_numbers) ).
fof(f2660,axiom,
k3_numbers != k1_numbers,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t22_numbers) ).
fof(f2661,axiom,
k3_numbers != k2_numbers,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t23_numbers) ).
fof(f2662,axiom,
k4_numbers != k3_numbers,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t24_numbers) ).
fof(f2663,axiom,
k4_numbers != k1_numbers,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t25_numbers) ).
fof(f2664,axiom,
k4_numbers != k2_numbers,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t26_numbers) ).
fof(f2665,axiom,
k5_numbers != k4_numbers,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t27_numbers) ).
fof(f2666,axiom,
k5_numbers != k3_numbers,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t28_numbers) ).
fof(f2667,axiom,
k5_numbers != k1_numbers,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t29_numbers) ).
fof(f2668,axiom,
k5_numbers != k2_numbers,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t30_numbers) ).
fof(f2673,axiom,
m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',dt_k5_numbers) ).
fof(f2677,axiom,
! [X0] :
( v4_ordinal2(X0)
=> v1_xreal_0(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',cc1_xreal_0) ).
fof(f2678,axiom,
! [X0] :
( v1_xreal_0(X0)
=> v1_xcmplx_0(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',cc2_xreal_0) ).
fof(f2679,axiom,
? [X0] :
( v1_xreal_0(X0)
& v1_xcmplx_0(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',fc3_xreal_0) ).
fof(f2684,axiom,
! [X0,X1] :
( ( v1_xreal_0(X1)
& v1_xreal_0(X0) )
=> ( v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',fc5_xreal_0) ).
fof(f2686,axiom,
! [X0] :
( ( v2_xreal_0(X0)
& v1_xreal_0(X0) )
=> ( ~ v3_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0)
& ~ v1_xboole_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',cc3_xreal_0) ).
fof(f2687,axiom,
! [X0] :
( ( ~ v3_xreal_0(X0)
& v1_xreal_0(X0)
& ~ v1_xboole_0(X0) )
=> ( v2_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',cc4_xreal_0) ).
fof(f2688,axiom,
! [X0] :
( ( v3_xreal_0(X0)
& v1_xreal_0(X0) )
=> ( ~ v2_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0)
& ~ v1_xboole_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',cc5_xreal_0) ).
fof(f2692,axiom,
? [X0] :
( ~ v3_xreal_0(X0)
& v2_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',rc2_xreal_0) ).
fof(f2693,axiom,
? [X0] :
( v3_xreal_0(X0)
& ~ v2_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',rc3_xreal_0) ).
fof(f2694,axiom,
? [X0] :
( ~ v3_xreal_0(X0)
& ~ v2_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0)
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',rc4_xreal_0) ).
fof(f2695,axiom,
! [X0,X1] :
( ( ~ v3_xreal_0(X1)
& v1_xreal_0(X1)
& ~ v3_xreal_0(X0)
& v1_xreal_0(X0) )
=> ( ~ v3_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',fc7_xreal_0) ).
fof(f2696,axiom,
! [X0,X1] :
( ( ~ v2_xreal_0(X1)
& v1_xreal_0(X1)
& ~ v2_xreal_0(X0)
& v1_xreal_0(X0) )
=> ( ~ v2_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',fc8_xreal_0) ).
fof(f2697,axiom,
! [X0,X1] :
( ( ~ v3_xreal_0(X1)
& v1_xreal_0(X1)
& v2_xreal_0(X0)
& v1_xreal_0(X0) )
=> ( ~ v3_xreal_0(k2_xcmplx_0(X0,X1))
& v2_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1))
& ~ v1_xboole_0(k2_xcmplx_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',fc9_xreal_0) ).
fof(f2698,axiom,
! [X0,X1] :
( ( ~ v3_xreal_0(X1)
& v1_xreal_0(X1)
& v2_xreal_0(X0)
& v1_xreal_0(X0) )
=> ( ~ v3_xreal_0(k2_xcmplx_0(X1,X0))
& v2_xreal_0(k2_xcmplx_0(X1,X0))
& v1_xreal_0(k2_xcmplx_0(X1,X0))
& v1_xcmplx_0(k2_xcmplx_0(X1,X0))
& ~ v1_xboole_0(k2_xcmplx_0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',fc10_xreal_0) ).
fof(f2699,axiom,
! [X0,X1] :
( ( ~ v2_xreal_0(X1)
& v1_xreal_0(X1)
& v3_xreal_0(X0)
& v1_xreal_0(X0) )
=> ( v3_xreal_0(k2_xcmplx_0(X0,X1))
& ~ v2_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1))
& ~ v1_xboole_0(k2_xcmplx_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',fc11_xreal_0) ).
fof(f2700,axiom,
! [X0,X1] :
( ( ~ v2_xreal_0(X1)
& v1_xreal_0(X1)
& v3_xreal_0(X0)
& v1_xreal_0(X0) )
=> ( v3_xreal_0(k2_xcmplx_0(X1,X0))
& ~ v2_xreal_0(k2_xcmplx_0(X1,X0))
& v1_xreal_0(k2_xcmplx_0(X1,X0))
& v1_xcmplx_0(k2_xcmplx_0(X1,X0))
& ~ v1_xboole_0(k2_xcmplx_0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',fc12_xreal_0) ).
fof(f2703,axiom,
! [X0,X1] :
( ( ~ v2_xreal_0(X1)
& v1_xreal_0(X1)
& ~ v3_xreal_0(X0)
& v1_xreal_0(X0) )
=> ( ~ v3_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',fc15_xreal_0) ).
fof(f2704,axiom,
! [X0,X1] :
( ( ~ v2_xreal_0(X1)
& v1_xreal_0(X1)
& ~ v3_xreal_0(X0)
& v1_xreal_0(X0) )
=> ( ~ v2_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xcmplx_0(k6_xcmplx_0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',fc16_xreal_0) ).
fof(f2705,axiom,
! [X0,X1] :
( ( ~ v2_xreal_0(X1)
& v1_xreal_0(X1)
& v2_xreal_0(X0)
& v1_xreal_0(X0) )
=> ( ~ v3_xreal_0(k6_xcmplx_0(X0,X1))
& v2_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1))
& ~ v1_xboole_0(k6_xcmplx_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',fc17_xreal_0) ).
fof(f2706,axiom,
! [X0,X1] :
( ( ~ v2_xreal_0(X1)
& v1_xreal_0(X1)
& v2_xreal_0(X0)
& v1_xreal_0(X0) )
=> ( v3_xreal_0(k6_xcmplx_0(X1,X0))
& ~ v2_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xcmplx_0(k6_xcmplx_0(X1,X0))
& ~ v1_xboole_0(k6_xcmplx_0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',fc18_xreal_0) ).
fof(f2707,axiom,
! [X0,X1] :
( ( ~ v3_xreal_0(X1)
& v1_xreal_0(X1)
& v3_xreal_0(X0)
& v1_xreal_0(X0) )
=> ( v3_xreal_0(k6_xcmplx_0(X0,X1))
& ~ v2_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1))
& ~ v1_xboole_0(k6_xcmplx_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',fc19_xreal_0) ).
fof(f2708,axiom,
! [X0,X1] :
( ( ~ v3_xreal_0(X1)
& v1_xreal_0(X1)
& v3_xreal_0(X0)
& v1_xreal_0(X0) )
=> ( ~ v3_xreal_0(k6_xcmplx_0(X1,X0))
& v2_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xcmplx_0(k6_xcmplx_0(X1,X0))
& ~ v1_xboole_0(k6_xcmplx_0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',fc20_xreal_0) ).
fof(f2709,axiom,
! [X0,X1] :
( ( ~ v3_xreal_0(X1)
& v1_xreal_0(X1)
& ~ v2_xreal_0(X0)
& v1_xreal_0(X0) )
=> ( ~ v2_xreal_0(k3_xcmplx_0(X0,X1))
& v1_xreal_0(k3_xcmplx_0(X0,X1))
& v1_xcmplx_0(k3_xcmplx_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',fc21_xreal_0) ).
fof(f2710,axiom,
! [X0,X1] :
( ( ~ v3_xreal_0(X1)
& v1_xreal_0(X1)
& ~ v2_xreal_0(X0)
& v1_xreal_0(X0) )
=> ( ~ v2_xreal_0(k3_xcmplx_0(X1,X0))
& v1_xreal_0(k3_xcmplx_0(X1,X0))
& v1_xcmplx_0(k3_xcmplx_0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',fc22_xreal_0) ).
fof(f2711,axiom,
! [X0,X1] :
( ( ~ v2_xreal_0(X1)
& v1_xreal_0(X1)
& ~ v2_xreal_0(X0)
& v1_xreal_0(X0) )
=> ( ~ v3_xreal_0(k3_xcmplx_0(X0,X1))
& v1_xreal_0(k3_xcmplx_0(X0,X1))
& v1_xcmplx_0(k3_xcmplx_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',fc23_xreal_0) ).
fof(f2719,axiom,
! [X0] :
( v1_xreal_0(X0)
<=> r2_hidden(X0,k1_numbers) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',d1_xreal_0) ).
fof(f2721,axiom,
! [X0] :
( v1_xreal_0(X0)
=> ( v2_xreal_0(X0)
<=> ~ r1_xreal_0(X0,np__0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',d3_xreal_0) ).
fof(f2722,axiom,
! [X0] :
( v1_xreal_0(X0)
=> ( v3_xreal_0(X0)
<=> ~ r1_xreal_0(np__0,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+40.ax',d4_xreal_0) ).
fof(f2723,axiom,
! [X0,X1] :
( ( v1_xreal_0(X1)
& v1_xreal_0(X0) )
=> r1_xreal_0(X0,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+48.ax',rc1_int_1) ).
fof(f2726,axiom,
? [X0] : v1_int_1(X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+48.ax',cc1_int_1) ).
fof(f2728,axiom,
! [X0] :
( m1_subset_1(X0,k5_numbers)
=> ( v1_int_1(X0)
& ~ v3_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0)
& v4_ordinal2(X0)
& v3_ordinal1(X0)
& v2_ordinal1(X0)
& v1_ordinal1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+48.ax',cc2_int_1) ).
fof(f2729,axiom,
! [X0] :
( v4_ordinal2(X0)
=> v1_int_1(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+48.ax',fc1_int_1) ).
fof(f2734,axiom,
! [X0,X1] :
( ( v1_int_1(X1)
& v1_int_1(X0) )
=> ( v1_int_1(k6_xcmplx_0(X0,X1))
& v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+48.ax',fc4_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/sandbox2/benchmark/Axioms/SET007/SET007+48.ax',fc6_int_1) ).
fof(f2738,axiom,
! [X0,X1] :
( ( v1_int_1(X1)
& m1_subset_1(X0,k5_numbers) )
=> ( v1_int_1(k6_xcmplx_0(X1,X0))
& v1_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xcmplx_0(k6_xcmplx_0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+48.ax',fc8_int_1) ).
fof(f2739,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k5_numbers)
& m1_subset_1(X0,k5_numbers) )
=> ( v1_int_1(k6_xcmplx_0(X0,X1))
& v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+48.ax',fc9_int_1) ).
fof(f2742,axiom,
! [X0] :
( v1_int_1(X0)
<=> r2_hidden(X0,k4_numbers) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+48.ax',t17_int_1) ).
fof(f2760,axiom,
! [X0] :
( v1_int_1(X0)
=> ! [X1] :
( v1_int_1(X1)
=> ( r1_xreal_0(X0,X1)
=> r2_hidden(k6_xcmplx_0(X1,X0),k5_numbers) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+48.ax',t18_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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+48.ax',t20_int_1) ).
fof(f2787,axiom,
! [X0] :
( v1_xreal_0(X0)
=> ! [X1] :
( v1_int_1(X1)
=> ! [X2] :
( v1_int_1(X2)
=> ( ( r1_xreal_0(X2,X0)
& r1_xreal_0(X1,X0) )
=> ( X1 = X2
| r1_xreal_0(X2,k6_xcmplx_0(X0,np__1))
| r1_xreal_0(X1,k6_xcmplx_0(X0,np__1)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+48.ax',t44_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/sandbox2/benchmark/Axioms/SET007/SET007+48.ax',t45_int_1) ).
fof(f2827,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( v1_int_1(X1)
=> ~ ( ! [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
=> ~ ( r1_xreal_0(np__1,X2)
& X2 = k6_xcmplx_0(X1,X0) ) )
& ~ r1_xreal_0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+48.ax',t78_int_1) ).
fof(f2828,axiom,
! [X0] :
( v1_int_1(X0)
=> ! [X1] :
( v1_int_1(X1)
=> ( ~ r1_xreal_0(X1,X0)
=> r1_xreal_0(X0,k6_xcmplx_0(X1,np__1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+48.ax',t79_int_1) ).
fof(f2992,axiom,
! [X0] :
( v5_membered(X0)
=> v4_membered(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+51.ax',cc1_membered) ).
fof(f2993,axiom,
! [X0] :
( v4_membered(X0)
=> v3_membered(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+51.ax',cc2_membered) ).
fof(f2994,axiom,
! [X0] :
( v3_membered(X0)
=> v2_membered(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+51.ax',cc3_membered) ).
fof(f2995,axiom,
! [X0] :
( v2_membered(X0)
=> v1_membered(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+51.ax',cc9_membered) ).
fof(f3002,axiom,
( v1_membered(k2_numbers)
& ~ v1_xboole_0(k2_numbers) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+51.ax',cc15_membered) ).
fof(f3014,axiom,
! [X0] :
( v1_xcmplx_0(X0)
=> v1_membered(k1_tarski(X0)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+51.ax',d5_membered) ).
fof(f3064,axiom,
! [X0] :
( v1_membered(X0)
=> r1_tarski(X0,k2_numbers) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+51.ax',t1_membered) ).
fof(f3065,axiom,
! [X0] :
( v2_membered(X0)
=> r1_tarski(X0,k1_numbers) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+51.ax',t2_membered) ).
fof(f3066,axiom,
! [X0] :
( v3_membered(X0)
=> r1_tarski(X0,k3_numbers) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+51.ax',t3_membered) ).
fof(f3067,axiom,
! [X0] :
( v4_membered(X0)
=> r1_tarski(X0,k4_numbers) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+51.ax',t4_membered) ).
fof(f3068,axiom,
! [X0] :
( v5_membered(X0)
=> r1_tarski(X0,k5_numbers) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+51.ax',t30_membered) ).
fof(f3114,axiom,
? [X0] : v1_card_1(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',rc1_card_1) ).
fof(f3117,axiom,
! [X0] :
( m1_subset_1(X0,k5_numbers)
=> ( v1_card_1(X0)
& ~ v3_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0)
& v4_ordinal2(X0)
& v3_ordinal1(X0)
& v2_ordinal1(X0)
& v1_ordinal1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',cc2_card_1) ).
fof(f3118,axiom,
! [X0] :
( m1_subset_1(X0,k5_numbers)
=> ( v1_card_1(X0)
& ~ v3_xreal_0(X0)
& v1_xreal_0(X0)
& v1_finset_1(X0)
& v1_xcmplx_0(X0)
& v4_ordinal2(X0)
& v3_ordinal1(X0)
& v2_ordinal1(X0)
& v1_ordinal1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',cc3_card_1) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',d1_card_1) ).
fof(f3125,axiom,
! [X0] :
? [X1] :
( r2_wellord2(X0,X1)
& v3_ordinal1(X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t8_card_1) ).
fof(f3134,axiom,
! [X0] :
( v1_card_1(X0)
=> ! [X1] :
( v1_card_1(X1)
=> ( r2_hidden(X0,X1)
<=> ( X0 != X1
& r1_tarski(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t13_card_1) ).
fof(f3135,axiom,
! [X0] :
( v1_card_1(X0)
=> ! [X1] :
( v1_card_1(X1)
=> ( r2_hidden(X0,X1)
<=> ~ r1_tarski(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t14_card_1) ).
fof(f3139,axiom,
! [X0,X1] :
( v1_card_1(X1)
=> ( X1 = k1_card_1(X0)
<=> r2_wellord2(X0,X1) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t21_card_1) ).
fof(f3148,axiom,
! [X0,X1] :
( v1_card_1(X1)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k1_card_1(X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t23_card_1) ).
fof(f3149,axiom,
! [X0] :
( v3_ordinal1(X0)
=> r1_ordinal1(k1_card_1(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t24_card_1) ).
fof(f3150,axiom,
! [X0,X1] :
( v1_card_1(X1)
=> ( r2_hidden(X0,X1)
=> r2_hidden(k1_card_1(X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t25_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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t28_card_1) ).
fof(f3154,axiom,
! [X0] : ~ r2_wellord2(X0,k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t46_card_1) ).
fof(f3175,axiom,
k1_card_1(k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t49_card_1) ).
fof(f3179,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t52_card_1) ).
fof(f3184,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( m2_subset_1(X1,k1_numbers,k5_numbers)
=> ( r1_xreal_0(X0,X1)
<=> r1_ordinal1(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t56_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t74_card_1) ).
fof(f3217,axiom,
! [X0] :
( ( v1_card_1(X0)
& v1_finset_1(X0) )
=> ? [X1] :
( X0 = k1_card_1(X1)
& m2_subset_1(X1,k1_numbers,k5_numbers) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t86_card_1) ).
fof(f3220,axiom,
! [X0] : v1_card_1(k1_card_1(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',dt_k1_card_1) ).
fof(f3225,axiom,
? [X0] :
( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+55.ax',t26_finseq_1) ).
fof(f3283,axiom,
! [X0] : m2_finseq_1(k1_xboole_0,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+55.ax',t48_finseq_1) ).
fof(f3306,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( X1 = k9_finseq_1(X0)
<=> ( k1_funct_1(X1,np__1) = X0
& k1_relat_1(X1) = k2_finseq_1(np__1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+55.ax',d8_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/sandbox2/benchmark/Axioms/SET007/SET007+55.ax',t50_finseq_1) ).
fof(f3312,axiom,
! [X0] : k9_finseq_1(X0) = k1_tarski(k4_tarski(np__1,X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+55.ax',t52_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/sandbox2/benchmark/Axioms/SET007/SET007+55.ax',t55_finseq_1) ).
fof(f3316,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)
& k3_finseq_1(X1) = np__1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+55.ax',t56_finseq_1) ).
fof(f3317,axiom,
! [X0,X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( X1 = k9_finseq_1(X0)
<=> ( k1_funct_1(X1,np__1) = X0
& k3_finseq_1(X1) = np__1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+55.ax',t57_finseq_1) ).
fof(f3318,axiom,
! [X0,X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> k1_funct_1(k7_finseq_1(k9_finseq_1(X0),X1),np__1) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+55.ax',t58_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/sandbox2/benchmark/Axioms/SET007/SET007+55.ax',t59_finseq_1) ).
fof(f3323,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] : X0 != k7_finseq_1(X1,k9_finseq_1(X2)) )
& X0 != k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+55.ax',t63_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+55.ax',dt_m2_finseq_1) ).
fof(f3361,axiom,
! [X0] :
? [X1] : m2_finseq_1(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+55.ax',dt_k7_finseq_1) ).
fof(f3375,axiom,
! [X0] :
( v1_funct_1(k9_finseq_1(X0))
& v1_relat_1(k9_finseq_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+55.ax',dt_k9_finseq_1) ).
fof(f3390,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_eqrel_1(X1,X0)
=> ~ v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+60.ax',dt_m1_eqrel_1) ).
fof(f3447,axiom,
! [X0] :
? [X1] : m1_eqrel_1(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+60.ax',dt_k8_eqrel_1) ).
fof(f3536,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
=> r1_tarski(k1_funct_2(X2,X0),k1_funct_2(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+61.ax',t63_funct_5) ).
fof(f3537,axiom,
! [X0] : k1_funct_2(k1_xboole_0,X0) = k1_tarski(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+61.ax',t64_funct_5) ).
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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+61.ax',t67_funct_5) ).
fof(f3541,axiom,
! [X0,X1,X2,X3] :
( ( k1_card_1(X2) = k1_card_1(X3)
& k1_card_1(X0) = k1_card_1(X1) )
=> k1_card_1(k1_funct_2(X0,X2)) = k1_card_1(k1_funct_2(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+61.ax',t68_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+61.ax',t73_funct_5) ).
fof(f3557,axiom,
! [X0] :
( ( v2_classes1(X0)
& v1_ordinal1(X0) )
=> v1_classes2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',cc3_classes2) ).
fof(f3562,axiom,
! [X0] :
( ( v1_classes2(X0)
& ~ v1_xboole_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',rc2_classes2) ).
fof(f3569,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X2,X0)
& r2_hidden(X1,X0)
& v2_classes1(X0) )
=> ( r2_hidden(k2_tarski(X1,X2),X0)
& r2_hidden(k1_tarski(X1),X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t3_classes2) ).
fof(f3570,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X2,X0)
& r2_hidden(X1,X0)
& v2_classes1(X0) )
=> r2_hidden(k4_tarski(X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t4_classes2) ).
fof(f3571,axiom,
! [X0,X1] :
( ( r2_hidden(X1,X0)
& v2_classes1(X0) )
=> r1_tarski(k1_classes1(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t5_classes2) ).
fof(f3572,axiom,
! [X0] :
( v3_ordinal1(X0)
=> ! [X1] :
( ( r2_hidden(X0,X1)
& v2_classes1(X1) )
=> ( r1_tarski(X0,X1)
& r2_hidden(k1_ordinal1(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t6_classes2) ).
fof(f3578,axiom,
! [X0,X1] :
( ( r2_hidden(X1,X0)
& v2_classes1(X0) )
=> r2_hidden(k1_card_1(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t12_classes2) ).
fof(f3580,axiom,
! [X0,X1] :
( ( r2_hidden(X1,k1_card_1(X0))
& v2_classes1(X0) )
=> r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t14_classes2) ).
fof(f3584,axiom,
! [X0] :
( v1_card_1(X0)
=> ! [X1] :
( ( r2_hidden(X0,X1)
& v2_classes1(X1) )
=> r1_tarski(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t18_classes2) ).
fof(f3586,axiom,
! [X0] :
( v2_classes1(X0)
=> v4_ordinal1(k1_card_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t20_classes2) ).
fof(f3588,axiom,
! [X0] :
( v4_ordinal1(k1_card_1(k1_classes1(X0)))
& k1_card_1(k1_classes1(X0)) != k1_xboole_0
& k1_card_1(k1_classes1(X0)) != np__0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t22_classes2) ).
fof(f3589,axiom,
! [X0,X1] :
( v2_classes1(X0)
=> ( r1_tarski(k1_funct_2(X1,X0),X0)
| ( ~ ( r1_tarski(X1,X0)
& r2_hidden(k1_card_1(X1),k1_card_1(X0)) )
& ~ ( r1_tarski(X1,X0)
& r2_hidden(X1,X0) )
& ~ ( v1_ordinal1(X0)
& r2_hidden(X1,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t23_classes2) ).
fof(f3590,axiom,
! [X0,X1] :
( ~ ( ~ ( r1_tarski(X0,k1_classes1(X1))
& r2_hidden(k1_card_1(X0),k1_card_1(k1_classes1(X1))) )
& ~ ( r1_tarski(X0,k1_classes1(X1))
& r2_hidden(X0,k1_classes1(X1)) )
& ~ ( v1_ordinal1(X1)
& r2_hidden(X0,k1_classes1(X1)) ) )
=> r1_tarski(k1_funct_2(X0,k1_classes1(X1)),k1_classes1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t24_classes2) ).
fof(f3594,axiom,
! [X0] :
( v2_classes1(X0)
=> r1_tarski(k4_classes1(k1_card_1(X0)),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t28_classes2) ).
fof(f3597,axiom,
! [X0] :
( ( v1_ordinal1(X0)
& v2_classes1(X0) )
=> r1_tarski(X0,k4_classes1(k1_card_1(X0))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t31_classes2) ).
fof(f3598,axiom,
! [X0] :
( ( v1_ordinal1(X0)
& v2_classes1(X0) )
=> k4_classes1(k1_card_1(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t32_classes2) ).
fof(f3601,axiom,
! [X0] :
( v2_classes1(X0)
=> k1_card_1(X0) = k1_card_1(k4_classes1(k1_card_1(X0))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t35_classes2) ).
fof(f3603,axiom,
! [X0,X1] :
~ ( ~ r2_hidden(X1,k4_classes1(k1_card_1(X0)))
& ~ r2_wellord2(X1,k4_classes1(k1_card_1(X0)))
& r1_tarski(X1,k4_classes1(k1_card_1(X0)))
& v2_classes1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t37_classes2) ).
fof(f3605,axiom,
! [X0] :
( v2_classes1(X0)
=> v2_classes1(k4_classes1(k1_card_1(X0))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t39_classes2) ).
fof(f3606,axiom,
! [X0] : v2_classes1(k4_classes1(k1_card_1(k1_classes1(X0)))),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t40_classes2) ).
fof(f3609,axiom,
! [X0,X1] :
( ( r2_hidden(X1,X0)
& v1_ordinal1(X1)
& v2_classes1(X0) )
=> r2_hidden(X1,k4_classes1(k1_card_1(X0))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t43_classes2) ).
fof(f3613,axiom,
! [X0] :
( v1_classes2(X0)
<=> ( v2_classes1(X0)
& v1_ordinal1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',d1_classes2) ).
fof(f3623,axiom,
! [X0] :
( ( v1_classes2(X0)
& ~ v1_xboole_0(X0) )
=> ! [X1] :
( ( v1_classes2(X1)
& ~ v1_xboole_0(X1) )
=> ~ ( ~ r2_hidden(X1,X0)
& X0 != X1
& ~ r2_hidden(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t56_classes2) ).
fof(f3624,axiom,
! [X0] :
( ( v1_classes2(X0)
& ~ v1_xboole_0(X0) )
=> ! [X1] :
( ( v1_classes2(X1)
& ~ v1_xboole_0(X1) )
=> ( r2_hidden(X1,X0)
| r1_tarski(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t57_classes2) ).
fof(f3626,axiom,
! [X0] :
( ( v1_classes2(X0)
& ~ v1_xboole_0(X0) )
=> ! [X1] :
( ( v1_classes2(X1)
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( v1_classes2(X2)
& ~ v1_xboole_0(X2) )
=> ( ( r2_hidden(X1,X2)
& r2_hidden(X0,X1) )
=> r2_hidden(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t59_classes2) ).
fof(f3628,axiom,
! [X0] :
( ( v1_classes2(X0)
& ~ v1_xboole_0(X0) )
=> ! [X1] :
( ( v1_classes2(X1)
& ~ v1_xboole_0(X1) )
=> ( v1_classes2(k3_xboole_0(X0,X1))
& ~ v1_xboole_0(k3_xboole_0(X0,X1))
& v1_classes2(k2_xboole_0(X0,X1))
& ~ v1_xboole_0(k2_xboole_0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t61_classes2) ).
fof(f3629,axiom,
! [X0] :
( ( v1_classes2(X0)
& ~ v1_xboole_0(X0) )
=> r2_hidden(k1_xboole_0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t62_classes2) ).
fof(f3630,axiom,
! [X0,X1] :
( ( v1_classes2(X1)
& ~ v1_xboole_0(X1) )
=> ( r2_hidden(X0,X1)
=> r2_hidden(k1_tarski(X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t63_classes2) ).
fof(f3631,axiom,
! [X0,X1,X2] :
( ( v1_classes2(X2)
& ~ v1_xboole_0(X2) )
=> ( ( r2_hidden(X1,X2)
& r2_hidden(X0,X2) )
=> ( r2_hidden(k4_tarski(X0,X1),X2)
& r2_hidden(k2_tarski(X0,X1),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t64_classes2) ).
fof(f3632,axiom,
! [X0,X1] :
( ( v1_classes2(X1)
& ~ v1_xboole_0(X1) )
=> ( r2_hidden(X0,X1)
=> ( r2_hidden(k1_setfam_1(X0),X1)
& r2_hidden(k3_tarski(X0),X1)
& r2_hidden(k1_zfmisc_1(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t65_classes2) ).
fof(f3633,axiom,
! [X0,X1,X2] :
( ( v1_classes2(X2)
& ~ v1_xboole_0(X2) )
=> ( ( r2_hidden(X1,X2)
& r2_hidden(X0,X2) )
=> ( r2_hidden(k5_xboole_0(X0,X1),X2)
& r2_hidden(k4_xboole_0(X0,X1),X2)
& r2_hidden(k3_xboole_0(X0,X1),X2)
& r2_hidden(k2_xboole_0(X0,X1),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t66_classes2) ).
fof(f3634,axiom,
! [X0,X1,X2] :
( ( v1_classes2(X2)
& ~ v1_xboole_0(X2) )
=> ( ( r2_hidden(X1,X2)
& r2_hidden(X0,X2) )
=> ( r2_hidden(k1_funct_2(X0,X1),X2)
& r2_hidden(k2_zfmisc_1(X0,X1),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+68.ax',t67_classes2) ).
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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+76.ax',t2_qc_lang1) ).
fof(f3727,axiom,
k11_qc_lang1 = k9_finseq_1(k4_tarski(np__0,np__0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+76.ax',d13_qc_lang1) ).
fof(f3728,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> k12_qc_lang1(X0) = k7_finseq_1(k9_finseq_1(k4_tarski(np__1,np__0)),k10_qc_lang1(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+76.ax',d14_qc_lang1) ).
fof(f3729,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> k13_qc_lang1(X0,X1) = k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(np__2,np__0)),k10_qc_lang1(X0)),k10_qc_lang1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+76.ax',d15_qc_lang1) ).
fof(f3783,axiom,
~ v1_xboole_0(k8_qc_lang1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+76.ax',dt_k8_qc_lang1) ).
fof(f3884,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ( r1_qc_lang2(X0,X1)
<=> ~ ( ! [X2] :
( m2_subset_1(X2,k1_qc_lang1,k2_qc_lang1)
=> X1 != k14_qc_lang1(X2,X0) )
& ! [X2] :
( m1_subset_1(X2,k8_qc_lang1)
=> ( X1 != k13_qc_lang1(X2,X0)
& X1 != k13_qc_lang1(X0,X2) ) )
& X1 != k12_qc_lang1(X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',d20_qc_lang2) ).
fof(f3886,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ~ r1_qc_lang2(X0,k11_qc_lang1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t58_qc_lang2) ).
fof(f3888,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ( r1_qc_lang2(X0,k12_qc_lang1(X1))
<=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t60_qc_lang2) ).
fof(f3890,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ! [X2] :
( m1_subset_1(X2,k8_qc_lang1)
=> ( r1_qc_lang2(X0,k13_qc_lang1(X1,X2))
<=> ( X0 = X2
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t62_qc_lang2) ).
fof(f3891,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ! [X2] :
( m2_subset_1(X2,k1_qc_lang1,k2_qc_lang1)
=> ( r1_qc_lang2(X0,k14_qc_lang1(X2,X1))
<=> X0 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t63_qc_lang2) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',d21_qc_lang2) ).
fof(f3897,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ( r3_qc_lang2(X0,X1)
<=> ( X0 != X1
& r2_qc_lang2(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',d22_qc_lang2) ).
fof(f3901,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ~ ( r1_xreal_0(k3_finseq_1(k10_qc_lang1(X1)),k3_finseq_1(k10_qc_lang1(X0)))
& r1_qc_lang2(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t71_qc_lang2) ).
fof(f3902,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ( r1_qc_lang2(X0,X1)
=> r2_qc_lang2(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t72_qc_lang2) ).
fof(f3903,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ( r1_qc_lang2(X0,X1)
=> r3_qc_lang2(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t73_qc_lang2) ).
fof(f3905,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ~ ( ! [X2] :
( m1_subset_1(X2,k8_qc_lang1)
=> ~ r1_qc_lang2(X2,X1) )
& r3_qc_lang2(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t75_qc_lang2) ).
fof(f3907,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ! [X2] :
( m1_subset_1(X2,k8_qc_lang1)
=> ( ( r2_qc_lang2(X1,X2)
& r2_qc_lang2(X0,X1) )
=> r2_qc_lang2(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t77_qc_lang2) ).
fof(f3908,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ( ( r2_qc_lang2(X1,X0)
& r2_qc_lang2(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t78_qc_lang2) ).
fof(f3909,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ~ ( r2_qc_lang2(X1,X0)
& r3_qc_lang2(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t79_qc_lang2) ).
fof(f3911,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ~ ( r1_qc_lang2(X1,X0)
& r2_qc_lang2(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t81_qc_lang2) ).
fof(f3912,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ~ ( r1_qc_lang2(X1,X0)
& r3_qc_lang2(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t82_qc_lang2) ).
fof(f3913,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ! [X2] :
( m1_subset_1(X2,k8_qc_lang1)
=> ( ~ ( ~ ( r3_qc_lang2(X1,X2)
& r1_qc_lang2(X0,X1) )
& ~ ( r1_qc_lang2(X1,X2)
& r3_qc_lang2(X0,X1) )
& ~ ( r2_qc_lang2(X1,X2)
& r1_qc_lang2(X0,X1) )
& ~ ( r1_qc_lang2(X1,X2)
& r2_qc_lang2(X0,X1) )
& ~ ( r3_qc_lang2(X1,X2)
& r2_qc_lang2(X0,X1) )
& ~ ( r2_qc_lang2(X1,X2)
& r3_qc_lang2(X0,X1) ) )
=> r3_qc_lang2(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t83_qc_lang2) ).
fof(f3916,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ( r2_qc_lang2(X0,X1)
<=> r3_qc_lang2(X0,k12_qc_lang1(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t86_qc_lang2) ).
fof(f3917,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ( r2_qc_lang2(k12_qc_lang1(X0),X1)
=> r3_qc_lang2(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t87_qc_lang2) ).
fof(f3919,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ! [X2] :
( m1_subset_1(X2,k8_qc_lang1)
=> ( ( r2_qc_lang2(X0,X2)
| r2_qc_lang2(X0,X1) )
<=> r3_qc_lang2(X0,k13_qc_lang1(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t89_qc_lang2) ).
fof(f3920,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ! [X2] :
( m1_subset_1(X2,k8_qc_lang1)
=> ( r2_qc_lang2(k13_qc_lang1(X0,X1),X2)
=> ( r3_qc_lang2(X1,X2)
& r3_qc_lang2(X0,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t90_qc_lang2) ).
fof(f3921,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ! [X2] :
( m2_subset_1(X2,k1_qc_lang1,k2_qc_lang1)
=> ( r2_qc_lang2(X0,X1)
<=> r3_qc_lang2(X0,k14_qc_lang1(X2,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t91_qc_lang2) ).
fof(f3922,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ! [X2] :
( m2_subset_1(X2,k1_qc_lang1,k2_qc_lang1)
=> ( r2_qc_lang2(k14_qc_lang1(X2,X0),X1)
=> r3_qc_lang2(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t92_qc_lang2) ).
fof(f3929,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ( r2_qc_lang2(X0,k11_qc_lang1)
<=> X0 = k11_qc_lang1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t99_qc_lang2) ).
fof(f3932,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( X1 = k15_qc_lang2(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_qc_lang2(X3,X0)
& X3 = X2
& m1_subset_1(X3,k8_qc_lang1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',d23_qc_lang2) ).
fof(f3934,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ( r2_hidden(X0,k15_qc_lang2(X1))
=> r2_qc_lang2(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t103_qc_lang2) ).
fof(f3935,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ( r2_qc_lang2(X0,X1)
=> r1_tarski(k15_qc_lang2(X0),k15_qc_lang2(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t104_qc_lang2) ).
fof(f3951,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ! [X2] :
( m1_subset_1(X2,k8_qc_lang1)
=> ( r2_hidden(X1,k15_qc_lang2(X2))
=> ( r2_hidden(X0,k15_qc_lang2(X2))
| ( ~ r2_qc_lang2(X0,X1)
& ~ r3_qc_lang2(X0,X1)
& ~ r1_qc_lang2(X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',t120_qc_lang2) ).
fof(f3952,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k8_qc_lang1)
& m1_subset_1(X0,k8_qc_lang1) )
=> r2_qc_lang2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+77.ax',reflexivity_r2_qc_lang2) ).
fof(f4062,axiom,
! [X0,X1] :
( v1_relat_1(X0)
=> v1_relat_1(k1_realset1(X0,X1)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+117.ax',fc2_realset1) ).
fof(f4064,axiom,
? [X0] :
( v1_realset1(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+117.ax',rc1_realset1) ).
fof(f4065,axiom,
? [X0] :
( ~ v1_realset1(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+117.ax',rc2_realset1) ).
fof(f4066,axiom,
! [X0] :
( ~ v1_realset1(X0)
=> ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+117.ax',cc1_realset1) ).
fof(f4067,axiom,
! [X0] :
( v1_realset1(k1_tarski(X0))
& v1_finset_1(k1_tarski(X0))
& ~ v1_xboole_0(k1_tarski(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+117.ax',fc3_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+148.ax',t6_card_4) ).
fof(f4123,axiom,
! [X0] :
( v1_card_1(X0)
=> ! [X1] :
( v1_card_1(X1)
=> ( v1_finset_1(X0)
=> ( ( r1_tarski(X0,X1)
& r2_hidden(X0,X1) )
| v1_finset_1(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+148.ax',t13_card_4) ).
fof(f4125,axiom,
~ v1_finset_1(k5_numbers),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+148.ax',t17_card_4) ).
fof(f4134,axiom,
! [X0] :
( v1_card_1(X0)
=> ( r2_hidden(np__0,X0)
<=> r1_tarski(np__1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+148.ax',t24_card_4) ).
fof(f4136,axiom,
! [X0] :
( v1_card_1(X0)
=> ! [X1] :
( v1_card_1(X1)
=> ( v1_finset_1(X0)
=> ( v1_finset_1(X1)
| ( ~ r2_hidden(X1,X0)
& ~ r1_tarski(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+148.ax',t26_card_4) ).
fof(f4142,axiom,
! [X0] :
( v1_card_1(X0)
=> ( ~ v1_finset_1(X0)
=> v4_ordinal1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+148.ax',t32_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+165.ax',fc1_rfinseq) ).
fof(f4209,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ( r1_rfinseq(X0,X1)
<=> ! [X2] : k1_card_1(k10_relat_1(X0,k1_tarski(X2))) = k1_card_1(k10_relat_1(X1,k1_tarski(X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+165.ax',d1_rfinseq) ).
fof(f4210,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( r1_rfinseq(X0,X1)
=> k2_relat_1(X0) = k2_relat_1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+165.ax',t1_rfinseq) ).
fof(f4211,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) )
=> ( ( r1_rfinseq(X0,X2)
& r1_rfinseq(X0,X1) )
=> r1_rfinseq(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+165.ax',t2_rfinseq) ).
fof(f4212,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( r1_rfinseq(X0,X1)
<=> ? [X2] :
( X0 = k5_relat_1(X2,X1)
& v2_funct_1(X2)
& k2_relat_1(X2) = k1_relat_1(X1)
& k1_relat_1(X2) = k1_relat_1(X0)
& v1_funct_1(X2)
& v1_relat_1(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+165.ax',t3_rfinseq) ).
fof(f4213,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( r1_rfinseq(X0,X1)
<=> ! [X2] : k1_card_1(k10_relat_1(X0,X2)) = k1_card_1(k10_relat_1(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+165.ax',t4_rfinseq) ).
fof(f4214,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( r1_tarski(k2_relat_1(X2),X0)
& r1_tarski(k2_relat_1(X1),X0) )
=> ( r1_rfinseq(X1,X2)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> k1_card_1(k10_relat_1(X1,k1_tarski(X3))) = k1_card_1(k10_relat_1(X2,k1_tarski(X3))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+165.ax',t5_rfinseq) ).
fof(f4215,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( k1_relat_1(X0) = k1_relat_1(X1)
=> ( r1_rfinseq(X0,X1)
<=> ? [X2] :
( X0 = k5_relat_1(X2,X1)
& m2_relset_1(X2,k1_relat_1(X0),k1_relat_1(X0))
& v3_funct_2(X2,k1_relat_1(X0),k1_relat_1(X0))
& v1_funct_2(X2,k1_relat_1(X0),k1_relat_1(X0))
& v1_funct_1(X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+165.ax',t6_rfinseq) ).
fof(f4216,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( r1_rfinseq(X0,X1)
=> k1_card_1(k1_relat_1(X0)) = k1_card_1(k1_relat_1(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+165.ax',t7_rfinseq) ).
fof(f4223,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) )
=> ( r1_rfinseq(X0,X1)
<=> r1_rfinseq(k7_finseq_1(X0,X2),k7_finseq_1(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+165.ax',t14_rfinseq) ).
fof(f4224,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_rfinseq(k7_finseq_1(X0,X1),k7_finseq_1(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+165.ax',t15_rfinseq) ).
fof(f4225,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_rfinseq(X0,X1)
=> ( k4_finseq_1(X0) = k4_finseq_1(X1)
& k3_finseq_1(X0) = k3_finseq_1(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+165.ax',t16_rfinseq) ).
fof(f4226,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_rfinseq(X0,X1)
<=> ? [X2] :
( X0 = k5_relat_1(X2,X1)
& m2_relset_1(X2,k4_finseq_1(X1),k4_finseq_1(X1))
& v3_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
& v1_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+165.ax',t17_rfinseq) ).
fof(f4227,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( v1_finset_1(X1)
=> ? [X2] :
( r1_rfinseq(k7_relat_1(X0,X1),X2)
& v1_finseq_1(X2)
& v1_funct_1(X2)
& v1_relat_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+165.ax',t18_rfinseq) ).
fof(f4251,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_relat_1(X0) )
=> ( r1_rfinseq(X0,X1)
=> r1_rfinseq(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+165.ax',symmetry_r1_rfinseq) ).
fof(f4252,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_relat_1(X0) )
=> r1_rfinseq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+165.ax',reflexivity_r1_rfinseq) ).
fof(f4257,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+200.ax',d1_struct_0) ).
fof(f4266,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+202.ax',t4_cat_1) ).
fof(f4447,axiom,
? [X0] : l1_cat_1(X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+202.ax',dt_u2_cat_1) ).
fof(f4480,axiom,
? [X0] :
( v3_lattices(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',rc13_lattices) ).
fof(f4501,axiom,
! [X0] :
( ( l2_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_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',d1_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/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',d2_lattices) ).
fof(f4504,axiom,
! [X0] :
( ( l2_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v4_lattices(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k1_lattices(X0,X1,X2) = k1_lattices(X0,X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',d4_lattices) ).
fof(f4505,axiom,
! [X0] :
( ( l2_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v5_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))
=> k1_lattices(X0,X1,k1_lattices(X0,X2,X3)) = k1_lattices(X0,k1_lattices(X0,X1,X2),X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',d5_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',d13_lattices) ).
fof(f4514,axiom,
! [X0] :
( ( l2_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v14_lattices(X0)
<=> ? [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k1_lattices(X0,X2,X1) = X1
& k1_lattices(X0,X1,X2) = X1 ) )
& m1_subset_1(X1,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',d14_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/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',d16_lattices) ).
fof(f4517,axiom,
! [X0] :
( ( l2_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v14_lattices(X0)
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( X1 = k6_lattices(X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k1_lattices(X0,X2,X1) = X1
& k1_lattices(X0,X1,X2) = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',d17_lattices) ).
fof(f4537,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))
=> k1_lattices(X0,X1,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',t17_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',t53_lattices) ).
fof(f4575,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',dt_l1_lattices) ).
fof(f4576,axiom,
? [X0] : l1_lattices(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',existence_l1_lattices) ).
fof(f4577,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',dt_l2_lattices) ).
fof(f4578,axiom,
? [X0] : l2_lattices(X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',dt_l3_lattices) ).
fof(f4580,axiom,
? [X0] : l3_lattices(X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',reflexivity_r3_lattices) ).
fof(f4586,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l2_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k1_lattices(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',dt_k1_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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',commutativity_k3_lattices) ).
fof(f4590,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) = k1_lattices(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',redefinition_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',free_g3_lattices) ).
fof(f4608,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(k2_pre_topc(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+206.ax',fc2_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/sandbox2/benchmark/Axioms/SET007/SET007+206.ax',cc1_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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+206.ax',rc7_pre_topc) ).
fof(f4625,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+206.ax',t25_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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+206.ax',t39_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+206.ax',dt_l1_pre_topc) ).
fof(f4688,axiom,
? [X0] : l1_pre_topc(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+206.ax',existence_l1_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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+206.ax',dt_k6_pre_topc) ).
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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+207.ax',rc1_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/sandbox2/benchmark/Axioms/SET007/SET007+207.ax',fc6_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+207.ax',t2_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+207.ax',t46_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+207.ax',dt_k2_tops_1) ).
fof(f4848,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l2_rlvect_1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',rc3_rlvect_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',d10_rlvect_1) ).
fof(f4873,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))
=> k6_rlvect_1(X0,X1,X2) = k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',d11_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',t22_rlvect_1) ).
fof(f4888,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> k5_rlvect_1(X0,k1_rlvect_1(X0)) = k1_rlvect_1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',t25_rlvect_1) ).
fof(f4890,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))
=> k6_rlvect_1(X0,k1_rlvect_1(X0),X1) = k5_rlvect_1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',t27_rlvect_1) ).
fof(f4893,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))
=> k5_rlvect_1(X0,k5_rlvect_1(X0,X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',t30_rlvect_1) ).
fof(f4894,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,X1) = k5_rlvect_1(X0,X2)
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',t31_rlvect_1) ).
fof(f4907,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)) = k6_rlvect_1(X0,k5_rlvect_1(X0,X2),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',t44_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/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',t45_rlvect_1) ).
fof(f4909,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] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k6_rlvect_1(X0,k5_rlvect_1(X0,X1),X2) = k6_rlvect_1(X0,k5_rlvect_1(X0,X2),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',t46_rlvect_1) ).
fof(f4910,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,k6_rlvect_1(X0,X1,X2)) = k2_rlvect_1(X0,X2,k5_rlvect_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',t47_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',t57_rlvect_1) ).
fof(f4923,axiom,
! [X0] :
( ( l1_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))
=> ( ( v2_funct_1(X2)
& v2_funct_1(X1)
& k2_relat_1(X1) = k2_relat_1(X2) )
=> k9_rlvect_1(X0,X1) = k9_rlvect_1(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',t59_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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',t95_rlvect_1) ).
fof(f4964,axiom,
? [X0] : l1_rlvect_1(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',existence_l1_rlvect_1) ).
fof(f4965,axiom,
! [X0] :
( l2_rlvect_1(X0)
=> l1_rlvect_1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',dt_l2_rlvect_1) ).
fof(f4966,axiom,
? [X0] : l2_rlvect_1(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',existence_l2_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/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',dt_k2_rlvect_1) ).
fof(f4971,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_numbers)
& m1_subset_1(X1,u1_struct_0(X0))
& l2_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k3_rlvect_1(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',dt_k3_rlvect_1) ).
fof(f4975,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k5_rlvect_1(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',dt_k5_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',d2_group_1) ).
fof(f4997,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v3_group_1(X0)
<=> ? [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ? [X3] :
( k1_group_1(X0,X3,X2) = X1
& k1_group_1(X0,X2,X3) = X1
& m1_subset_1(X3,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/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',d3_group_1) ).
fof(f4998,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v4_group_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_group_1(X0,k1_group_1(X0,X1,X2),X3) = k1_group_1(X0,X1,k1_group_1(X0,X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',d4_group_1) ).
fof(f5003,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))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k1_group_1(X0,k1_group_1(X0,X1,X2),X3) = k1_group_1(X0,X1,k1_group_1(X0,X2,X3)) ) ) )
=> ( ( 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))
=> ( ? [X3] :
( k1_group_1(X0,X3,X2) = X1
& k1_group_1(X0,X2,X3) = X1
& m1_subset_1(X3,u1_struct_0(X0)) )
& k1_group_1(X0,X1,X2) = X2
& k1_group_1(X0,X2,X1) = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t5_group_1) ).
fof(f5004,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))
=> ( ? [X3] :
( k1_group_1(X0,X3,X1) = X2
& m1_subset_1(X3,u1_struct_0(X0)) )
& ? [X3] :
( k1_group_1(X0,X1,X3) = X2
& m1_subset_1(X3,u1_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))
=> k1_group_1(X0,k1_group_1(X0,X1,X2),X3) = k1_group_1(X0,X1,k1_group_1(X0,X2,X3)) ) ) ) )
=> ( v3_group_1(X0)
& v4_group_1(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t6_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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',d6_group_1) ).
fof(f5014,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))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( k1_group_1(X0,X2,X1) = k1_group_1(X0,X3,X1)
| k1_group_1(X0,X1,X2) = k1_group_1(X0,X1,X3) )
=> X2 = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t14_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t20_group_1) ).
fof(f5023,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))
=> ? [X3] :
( k1_group_1(X0,X1,X3) = X2
& m1_subset_1(X3,u1_struct_0(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t23_group_1) ).
fof(f5024,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))
=> ? [X3] :
( k1_group_1(X0,X3,X1) = X2
& m1_subset_1(X3,u1_struct_0(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t24_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t43_group_1) ).
fof(f5048,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__1,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t44_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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t49_group_1) ).
fof(f5056,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))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( k1_group_1(X1,X2,X3) = k1_group_1(X1,X3,X2)
=> k1_group_1(X1,X2,k6_group_1(X1,X0,X3)) = k1_group_1(X1,k6_group_1(X1,X0,X3),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t52_group_1) ).
fof(f5057,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))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( k1_group_1(X2,X3,X4) = k1_group_1(X2,X4,X3)
=> k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X4)) = k1_group_1(X2,k6_group_1(X2,X1,X4),k6_group_1(X2,X0,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t53_group_1) ).
fof(f5058,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))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( k1_group_1(X1,X2,X3) = k1_group_1(X1,X3,X2)
=> k6_group_1(X1,X0,k1_group_1(X1,X2,X3)) = k1_group_1(X1,k6_group_1(X1,X0,X2),k6_group_1(X1,X0,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t54_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t66_group_1) ).
fof(f5077,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))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( k1_group_1(X1,X2,X3) = k1_group_1(X1,X3,X2)
=> k6_group_1(X1,X0,k1_group_1(X1,X2,X3)) = k1_group_1(X1,k6_group_1(X1,X0,X2),k6_group_1(X1,X0,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t73_group_1) ).
fof(f5078,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))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( k1_group_1(X2,X3,X4) = k1_group_1(X2,X4,X3)
=> k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X4)) = k1_group_1(X2,k6_group_1(X2,X1,X4),k6_group_1(X2,X0,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t74_group_1) ).
fof(f5079,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))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( k1_group_1(X2,X3,X4) = k1_group_1(X2,X4,X3)
=> k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X4)) = k1_group_1(X2,k6_group_1(X2,X1,X4),k6_group_1(X2,X0,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t75_group_1) ).
fof(f5081,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))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( k1_group_1(X1,X2,X3) = k1_group_1(X1,X3,X2)
=> k1_group_1(X1,X2,k6_group_1(X1,X0,X3)) = k1_group_1(X1,k6_group_1(X1,X0,X3),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t77_group_1) ).
fof(f5094,axiom,
! [X0] :
( l1_struct_0(X0)
=> ( v6_group_1(X0)
<=> v1_finset_1(u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',d14_group_1) ).
fof(f5108,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',dt_l1_group_1) ).
fof(f5109,axiom,
? [X0] : l1_group_1(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',existence_l1_group_1) ).
fof(f5111,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',dt_k1_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/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',dt_k2_group_1) ).
fof(f5116,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& v1_int_1(X1)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k6_group_1(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',dt_k6_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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+213.ax',t7_vectsp_1) ).
fof(f5241,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))
=> ( k6_rlvect_1(X0,X1,k2_rlvect_1(X0,X3,X2)) = k6_rlvect_1(X0,k6_rlvect_1(X0,X1,X2),X3)
& k5_rlvect_1(X0,k6_rlvect_1(X0,k5_rlvect_1(X0,X2),X3)) = k2_rlvect_1(X0,X3,X2)
& k5_rlvect_1(X0,k6_rlvect_1(X0,X2,X3)) = k2_rlvect_1(X0,X3,k5_rlvect_1(X0,X2))
& k5_rlvect_1(X0,k2_rlvect_1(X0,X3,k5_rlvect_1(X0,X2))) = k6_rlvect_1(X0,X2,X3)
& k5_rlvect_1(X0,k2_rlvect_1(X0,X2,X3)) = k6_rlvect_1(X0,k5_rlvect_1(X0,X3),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+213.ax',t64_vectsp_1) ).
fof(f5242,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))
=> ( k6_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1
& k6_rlvect_1(X0,k1_rlvect_1(X0),X1) = k5_rlvect_1(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+213.ax',t65_vectsp_1) ).
fof(f5243,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))
=> ( ( X1 = X2
=> k6_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0) )
& ( k6_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0)
=> X1 = X2 )
& ( X1 = X2
=> k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X2)) = k1_rlvect_1(X0) )
& ( k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X2)) = k1_rlvect_1(X0)
=> X1 = X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+213.ax',t66_vectsp_1) ).
fof(f5261,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,k6_rlvect_1(X0,X1,X2)) = k6_rlvect_1(X0,X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+213.ax',t81_vectsp_1) ).
fof(f5266,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))
=> ( k5_rlvect_1(X0,X1) = k1_rlvect_1(X0)
=> X1 = k1_rlvect_1(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+213.ax',t86_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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+213.ax',t92_vectsp_1) ).
fof(f5280,axiom,
? [X0] : l3_vectsp_1(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+213.ax',existence_l3_vectsp_1) ).
fof(f5305,axiom,
? [X0] :
( v3_realset2(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',t19_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',t47_filter_0) ).
fof(f5538,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ! [X2] :
( m1_filter_0(X2,X0)
=> k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k5_filter_0(X0,X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',t50_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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',t56_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+295.ax',d7_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+295.ax',t49_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+295.ax',t59_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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+295.ax',existence_m2_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+295.ax',dt_k8_filter_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+309.ax',t35_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/sandbox2/benchmark/Axioms/SET007/SET007+311.ax',t2_grcat_1) ).
fof(f6004,axiom,
! [X0] :
( ( v1_classes2(X0)
& ~ v1_xboole_0(X0) )
=> ! [X1,X2] :
( ( r2_hidden(X2,X0)
& r2_hidden(X1,X2) )
=> r2_hidden(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+311.ax',t4_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+312.ax',dt_k13_group_6) ).
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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+375.ax',t7_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/sandbox2/benchmark/Axioms/SET007/SET007+375.ax',t20_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/sandbox2/benchmark/Axioms/SET007/SET007+375.ax',t27_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/sandbox2/benchmark/Axioms/SET007/SET007+375.ax',t33_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET007/SET007+375.ax',existence_m1_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/sandbox2/benchmark/theBenchmark.p',dt_k1_lopclset) ).
fof(f6388,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_lopclset(X0))
& m1_subset_1(X1,k1_lopclset(X0))
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m2_subset_1(k2_lopclset(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_lopclset) ).
fof(f6389,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_lopclset(X0))
& m1_subset_1(X1,k1_lopclset(X0))
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> k2_lopclset(X0,X1,X2) = k2_lopclset(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_lopclset) ).
fof(f6390,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_lopclset(X0))
& m1_subset_1(X1,k1_lopclset(X0))
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> k2_lopclset(X0,X1,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k2_lopclset) ).
fof(f6391,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_lopclset(X0))
& m1_subset_1(X1,k1_lopclset(X0))
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> k2_lopclset(X0,X1,X2) = k2_xboole_0(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_lopclset) ).
fof(f6392,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_lopclset(X0))
& m1_subset_1(X1,k1_lopclset(X0))
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m2_subset_1(k3_lopclset(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_lopclset) ).
fof(f6393,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_lopclset(X0))
& m1_subset_1(X1,k1_lopclset(X0))
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> k3_lopclset(X0,X1,X2) = k3_lopclset(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_lopclset) ).
fof(f6394,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_lopclset(X0))
& m1_subset_1(X1,k1_lopclset(X0))
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> k3_lopclset(X0,X1,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k3_lopclset) ).
fof(f6395,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_lopclset(X0))
& m1_subset_1(X1,k1_lopclset(X0))
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> k3_lopclset(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k3_lopclset) ).
fof(f6396,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_1(k4_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_lopclset) ).
fof(f6397,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_1(k5_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_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/sandbox2/benchmark/theBenchmark.p',dt_k6_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t4_lopclset) ).
fof(f6414,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_1(X1) )
=> ( X1 = k4_lopclset(X0)
<=> ! [X2] :
( m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
=> ! [X3] :
( m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
=> k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X2,X3) = k2_lopclset(X0,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_lopclset) ).
fof(f6415,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_1(X1) )
=> ( X1 = k5_lopclset(X0)
<=> ! [X2] :
( m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
=> ! [X3] :
( m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
=> k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X2,X3) = k3_lopclset(X0,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lopclset) ).
fof(f6416,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
=> ! [X3] :
( m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
=> ! [X4] :
( m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
=> ( ( X2 = X4
& X1 = X3 )
=> k1_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X1,X2) = k2_lopclset(X0,X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_lopclset) ).
fof(f6417,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
=> ! [X3] :
( m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
=> ! [X4] :
( m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
=> ( ( X2 = X4
& X1 = X3 )
=> k2_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X1,X2) = k3_lopclset(X0,X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t9_lopclset) ).
fof(f6421,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( l3_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)))
& v10_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)))
& ~ v3_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_lopclset) ).
fof(f6422,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t14_lopclset) ).
fof(f6427,conjecture,
! [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/sandbox2/benchmark/theBenchmark.p',t15_lopclset) ).
fof(f6428,negated_conjecture,
~ ! [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(negated_conjecture,[status(cth)],[f6427]) ).
fof(f6429,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(f6431,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f18]) ).
fof(f6432,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(f6433,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(f6434,plain,
! [X0] : k2_xboole_0(X0,X0) = X0,
inference(rectify,[],[f55]) ).
fof(f6435,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(f6436,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(f6437,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(f6438,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(f6439,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(f6440,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(f6441,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(f6442,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(f6443,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(f6444,plain,
! [X0] :
~ ( ! [X2] :
( v3_ordinal1(X2)
=> ~ r1_tarski(X0,X2) )
& ! [X1] :
( r2_hidden(X1,X0)
=> v3_ordinal1(X1) ) ),
inference(rectify,[],[f1224]) ).
fof(f6445,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(f6446,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(f6447,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(f6448,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(f6449,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(f6450,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(f6451,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(f6452,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(f6453,plain,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
=> ( ? [X7] :
( k1_group_1(X0,X7,X4) = X5
& m1_subset_1(X7,u1_struct_0(X0)) )
& ? [X6] :
( k1_group_1(X0,X4,X6) = X5
& m1_subset_1(X6,u1_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))
=> k1_group_1(X0,k1_group_1(X0,X1,X2),X3) = k1_group_1(X0,X1,k1_group_1(X0,X2,X3)) ) ) ) )
=> ( v3_group_1(X0)
& v4_group_1(X0) ) ) ),
inference(rectify,[],[f5004]) ).
fof(f6454,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))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k1_group_1(X0,k1_group_1(X0,X1,X2),X3) = k1_group_1(X0,X1,k1_group_1(X0,X2,X3)) ) ) )
=> ( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
| ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ~ ! [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
=> ( ? [X6] :
( k1_group_1(X0,X6,X5) = X4
& k1_group_1(X0,X5,X6) = X4
& m1_subset_1(X6,u1_struct_0(X0)) )
& k1_group_1(X0,X4,X5) = X5
& k1_group_1(X0,X5,X4) = X5 ) ) ) ) ) ),
inference(rectify,[],[f5003]) ).
fof(f6455,plain,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ( r1_qc_lang2(X0,X1)
<=> ~ ( ! [X3] :
( m2_subset_1(X3,k1_qc_lang1,k2_qc_lang1)
=> k14_qc_lang1(X3,X0) != X1 )
& ! [X2] :
( m1_subset_1(X2,k8_qc_lang1)
=> ( X1 != k13_qc_lang1(X2,X0)
& X1 != k13_qc_lang1(X0,X2) ) )
& X1 != k12_qc_lang1(X0) ) ) ) ),
inference(rectify,[],[f3884]) ).
fof(f6456,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(f6457,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(f6500,plain,
! [X0] :
( m1_subset_1(X0,k5_numbers)
=> ( v1_int_1(X0)
& ~ v3_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0)
& v4_ordinal2(X0)
& v3_ordinal1(X0)
& v1_ordinal1(X0) ) ),
inference(pure_predicate_removal,[],[f2728]) ).
fof(f6501,plain,
! [X0] :
( m1_subset_1(X0,k5_numbers)
=> ( v1_card_1(X0)
& ~ v3_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0)
& v4_ordinal2(X0)
& v3_ordinal1(X0)
& v1_ordinal1(X0) ) ),
inference(pure_predicate_removal,[],[f3117]) ).
fof(f6502,plain,
! [X0] :
( m1_subset_1(X0,k5_numbers)
=> ( v1_card_1(X0)
& ~ v3_xreal_0(X0)
& v1_xreal_0(X0)
& v1_finset_1(X0)
& v1_xcmplx_0(X0)
& v4_ordinal2(X0)
& v3_ordinal1(X0)
& v1_ordinal1(X0) ) ),
inference(pure_predicate_removal,[],[f3118]) ).
fof(f6503,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,[],[f6428]) ).
fof(f6504,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,[],[f6503]) ).
fof(f6505,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(f6506,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,[],[f6505]) ).
fof(f6509,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(f6510,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k1_tops_1(X0,k2_pre_topc(X0)) = k2_pre_topc(X0) ),
inference(flattening,[],[f6509]) ).
fof(f6511,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| k6_pre_topc(X0,k2_pre_topc(X0)) = k2_pre_topc(X0) ),
inference(ennf_transformation,[],[f4751]) ).
fof(f6512,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(f6513,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(f6514,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,[],[f6513]) ).
fof(f6515,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(f6516,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(f6517,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,[],[f6516]) ).
fof(f6518,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(f6521,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(f6522,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(f6523,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(f6524,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(f6525,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(f6526,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,[],[f6525]) ).
fof(f6528,plain,
! [X0] :
( ~ l1_struct_0(X0)
| k2_pre_topc(X0) = u1_struct_0(X0) ),
inference(ennf_transformation,[],[f4625]) ).
fof(f6529,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_pre_topc(k2_pre_topc(X0),X0) ),
inference(ennf_transformation,[],[f4615]) ).
fof(f6530,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_pre_topc(k2_pre_topc(X0),X0) ),
inference(flattening,[],[f6529]) ).
fof(f6531,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_pre_topc(X0)) ),
inference(ennf_transformation,[],[f4608]) ).
fof(f6532,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_pre_topc(X0)) ),
inference(flattening,[],[f6531]) ).
fof(f6533,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v17_lattices(k6_lopclset(X0)) ),
inference(ennf_transformation,[],[f6426]) ).
fof(f6534,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v17_lattices(k6_lopclset(X0)) ),
inference(flattening,[],[f6533]) ).
fof(f6535,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(f6536,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,[],[f6535]) ).
fof(f6537,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(f6538,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,[],[f6537]) ).
fof(f6539,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(f6540,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,[],[f6539]) ).
fof(f6541,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
inference(ennf_transformation,[],[f6422]) ).
fof(f6542,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
inference(flattening,[],[f6541]) ).
fof(f6543,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(f6544,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,[],[f6543]) ).
fof(f6545,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(f6546,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,[],[f6545]) ).
fof(f6547,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(f6548,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,[],[f6547]) ).
fof(f6549,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(f6550,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,[],[f6549]) ).
fof(f6551,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(f6552,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(f6553,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(f6554,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(f6555,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(flattening,[],[f6554]) ).
fof(f6556,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(f6557,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,[],[f6556]) ).
fof(f6558,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(f6559,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,[],[f6558]) ).
fof(f6560,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(f6561,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,[],[f6560]) ).
fof(f6562,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(f6563,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,[],[f6562]) ).
fof(f6564,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(f6565,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,[],[f6564]) ).
fof(f6566,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(f6567,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,[],[f6566]) ).
fof(f6568,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
inference(ennf_transformation,[],[f474]) ).
fof(f6569,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1)) ),
inference(ennf_transformation,[],[f404]) ).
fof(f6570,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(f6571,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,[],[f6570]) ).
fof(f6572,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(f6573,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,[],[f6572]) ).
fof(f6574,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(f6575,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,[],[f6574]) ).
fof(f6576,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(f6577,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,[],[f6576]) ).
fof(f6578,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(f6579,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_lopclset(X0)) ),
inference(flattening,[],[f6578]) ).
fof(f6580,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(f6581,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,[],[f6580]) ).
fof(f6582,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(f6583,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,[],[f6582]) ).
fof(f6584,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(f6585,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,[],[f6584]) ).
fof(f6586,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(f6587,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,[],[f6586]) ).
fof(f6588,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(f6589,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(f6590,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(f6591,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,[],[f6590]) ).
fof(f6592,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(f6593,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,[],[f6592]) ).
fof(f6594,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(f6595,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,[],[f6594]) ).
fof(f6598,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(f6599,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,[],[f6598]) ).
fof(f6602,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(f6603,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,[],[f6602]) ).
fof(f6604,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(f6605,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,[],[f6604]) ).
fof(f6606,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(f6607,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,[],[f6606]) ).
fof(f6608,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(f6609,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(f6610,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(f6611,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,[],[f6610]) ).
fof(f6612,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(f6613,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(f6614,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,[],[f6613]) ).
fof(f6615,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(f6616,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,[],[f6615]) ).
fof(f6617,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(f6618,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,[],[f6617]) ).
fof(f6621,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(f6622,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(f6623,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,[],[f6622]) ).
fof(f6624,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(f6625,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,[],[f6624]) ).
fof(f6626,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(f6627,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(f6628,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(f6629,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(f6630,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,[],[f6629]) ).
fof(f6631,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(f6632,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(f6633,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(f6634,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(f6635,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(f6636,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,[],[f6635]) ).
fof(f6637,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(f6638,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,[],[f6637]) ).
fof(f6639,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(f6640,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,[],[f6639]) ).
fof(f6641,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(f6642,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,[],[f6641]) ).
fof(f6643,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(f6644,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(f6645,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,[],[f6644]) ).
fof(f6646,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(f6647,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,[],[f6646]) ).
fof(f6648,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(f6649,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,[],[f6648]) ).
fof(f6650,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(f6651,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(f6652,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,[],[f6651]) ).
fof(f6653,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(f6654,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,[],[f6653]) ).
fof(f6655,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(f6656,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(f6657,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,[],[f6656]) ).
fof(f6658,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(f6659,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,[],[f6658]) ).
fof(f6660,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(f6661,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,[],[f6660]) ).
fof(f6662,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(f6663,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,[],[f6662]) ).
fof(f6664,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(f6665,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,[],[f6664]) ).
fof(f6666,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(f6667,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,[],[f6666]) ).
fof(f6668,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(f6669,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,[],[f6668]) ).
fof(f6670,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(f6671,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,[],[f6670]) ).
fof(f6672,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(f6673,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,[],[f6672]) ).
fof(f6674,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(f6675,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(f6676,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(f6677,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(f6678,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,[],[f6677]) ).
fof(f6679,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f5108]) ).
fof(f6680,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f4687]) ).
fof(f6681,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( v3_struct_0(X0)
<=> v1_xboole_0(u1_struct_0(X0)) ) ),
inference(ennf_transformation,[],[f4261]) ).
fof(f6682,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(f6683,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,[],[f6682]) ).
fof(f6684,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f4259]) ).
fof(f6685,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f6684]) ).
fof(f6686,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(f6687,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,[],[f6686]) ).
fof(f6688,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(f6689,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,[],[f6688]) ).
fof(f6690,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(f6691,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,[],[f6690]) ).
fof(f6694,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| v1_finset_1(k3_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f2328]) ).
fof(f6695,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(f6696,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,[],[f6695]) ).
fof(f6697,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,[],[f6429]) ).
fof(f6698,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,[],[f6697]) ).
fof(f6699,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(f6700,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(f6701,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(f6702,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(f6703,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k3_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f708]) ).
fof(f6708,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(f6709,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,[],[f6708]) ).
fof(f6710,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(f6711,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k3_xboole_0(X1,k1_tarski(X0)) = k1_tarski(X0) ),
inference(ennf_transformation,[],[f377]) ).
fof(f6712,plain,
! [X0,X1] :
( k1_tarski(X1) != k3_xboole_0(X0,k1_tarski(X1))
| r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f376]) ).
fof(f6713,plain,
! [X0,X1] :
( k1_tarski(X0) != k3_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 = X1 ),
inference(ennf_transformation,[],[f343]) ).
fof(f6715,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(f6716,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k3_xboole_0(X0,X1) = X0 ),
inference(ennf_transformation,[],[f97]) ).
fof(f6717,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(f6718,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,[],[f6717]) ).
fof(f6719,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(f6720,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(f6721,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,[],[f6720]) ).
fof(f6722,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(f6723,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,k3_xboole_0(X1,X2)) ),
inference(flattening,[],[f6722]) ).
fof(f6725,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(f6726,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ? [X1] : m1_pre_topc(X1,X0) ),
inference(ennf_transformation,[],[f4686]) ).
fof(f6727,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| l1_pre_topc(X1) ) ),
inference(ennf_transformation,[],[f4685]) ).
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)))
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
inference(ennf_transformation,[],[f4668]) ).
fof(f6729,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(f6730,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| v2_pre_topc(X1) ) ),
inference(flattening,[],[f6729]) ).
fof(f6731,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(f6732,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,[],[f6731]) ).
fof(f6733,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(f6734,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,[],[f6733]) ).
fof(f6735,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(f6736,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(f6737,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(f6738,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(f6739,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,[],[f6738]) ).
fof(f6740,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(f6741,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,[],[f6740]) ).
fof(f6742,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(f6743,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,[],[f6742]) ).
fof(f6744,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(f6745,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,[],[f6744]) ).
fof(f6746,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(f6747,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,[],[f6746]) ).
fof(f6748,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(f6749,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,[],[f6748]) ).
fof(f6750,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(f6751,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,[],[f6750]) ).
fof(f6752,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(f6753,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(f6754,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(f6755,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,[],[f6754]) ).
fof(f6756,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(f6757,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,[],[f6756]) ).
fof(f6758,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(f6759,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,[],[f6758]) ).
fof(f6760,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(f6761,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(f6762,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(f6763,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(f6764,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,[],[f6763]) ).
fof(f6765,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(f6766,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,[],[f6765]) ).
fof(f6767,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(f6768,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,[],[f6767]) ).
fof(f6771,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(f6772,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,[],[f6771]) ).
fof(f6773,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(f6774,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,[],[f6773]) ).
fof(f6775,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(f6776,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X2,X0)
| ~ r1_tarski(X0,X1)
| m2_relset_1(X3,X2,X1) ),
inference(flattening,[],[f6775]) ).
fof(f6777,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(f6778,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X2)
| ~ r1_tarski(X0,X1)
| m2_relset_1(X3,X1,X2) ),
inference(flattening,[],[f6777]) ).
fof(f6779,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(f6780,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r1_tarski(X0,X3)
| m2_relset_1(X0,X1,X2) ),
inference(flattening,[],[f6779]) ).
fof(f6781,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f1191]) ).
fof(f6782,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| v1_relat_1(X0) ),
inference(ennf_transformation,[],[f700]) ).
fof(f6783,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| v1_relat_1(X0) ),
inference(flattening,[],[f6782]) ).
fof(f6784,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(f6785,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(f6786,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,[],[f6785]) ).
fof(f6787,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(f6788,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(f6789,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,[],[f6788]) ).
fof(f6790,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(f6791,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(f6793,plain,
! [X0] :
( ~ r1_tarski(X0,k1_xboole_0)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f72]) ).
fof(f6794,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f6795,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,X2) ),
inference(flattening,[],[f6794]) ).
fof(f6796,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f6797,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(f6798,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(f6799,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,[],[f6798]) ).
fof(f6800,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(f6801,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(f6802,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,[],[f6801]) ).
fof(f6803,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(f6804,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,[],[f6803]) ).
fof(f6805,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(f6806,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,[],[f6805]) ).
fof(f6807,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(f6808,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,[],[f6807]) ).
fof(f6809,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(f6810,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,[],[f6809]) ).
fof(f6811,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(f6812,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,[],[f6811]) ).
fof(f6813,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(f6814,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,[],[f6813]) ).
fof(f6815,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(f6816,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(f6817,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(f6818,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,[],[f6817]) ).
fof(f6819,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(f6820,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(f6821,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(f6822,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f1187]) ).
fof(f6825,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f6826,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(f6827,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f6828,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(f6829,plain,
! [X0,X1] :
( ? [X2] :
( r2_hidden(X2,X0)
<~> r2_hidden(X2,X1) )
| X0 = X1 ),
inference(ennf_transformation,[],[f3]) ).
fof(f6830,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f6831,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) ),
inference(ennf_transformation,[],[f915]) ).
fof(f6832,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(X0) ),
inference(ennf_transformation,[],[f684]) ).
fof(f6833,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f6835,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_filter_0(X0) ),
inference(ennf_transformation,[],[f5529]) ).
fof(f6836,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_filter_0(X0) ),
inference(flattening,[],[f6835]) ).
fof(f6837,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,[],[f6432]) ).
fof(f6838,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,[],[f6837]) ).
fof(f6839,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(f6840,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,[],[f6839]) ).
fof(f6841,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(f6842,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,[],[f6841]) ).
fof(f6843,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(f6844,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,[],[f6843]) ).
fof(f6845,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(f6846,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,[],[f6845]) ).
fof(f6847,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,[],[f6433]) ).
fof(f6848,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,[],[f6847]) ).
fof(f6849,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(f6852,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f2327]) ).
fof(f6853,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(flattening,[],[f6852]) ).
fof(f6854,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(f6855,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,[],[f6854]) ).
fof(f6856,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(f6857,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(f6858,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f682]) ).
fof(f6859,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(flattening,[],[f6858]) ).
fof(f6862,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k2_xboole_0(k1_tarski(X0),X1) = X1 ),
inference(ennf_transformation,[],[f371]) ).
fof(f6864,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(f6868,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(f6869,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(f6870,plain,
! [X0,X1] :
( k1_xboole_0 != k2_xboole_0(X0,X1)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f6871,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(f6872,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,[],[f6871]) ).
fof(f6873,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(f6874,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,[],[f6873]) ).
fof(f6875,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X1) = X1 ),
inference(ennf_transformation,[],[f81]) ).
fof(f6876,plain,
! [X0,X1,X2] :
( ~ r1_tarski(k2_xboole_0(X0,X1),X2)
| r1_tarski(X0,X2) ),
inference(ennf_transformation,[],[f80]) ).
fof(f6877,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_tarski(X0,k2_xboole_0(X2,X1)) ),
inference(ennf_transformation,[],[f79]) ).
fof(f6878,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(f6879,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(f6880,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k2_xboole_0(X0,X2),X1) ),
inference(flattening,[],[f6879]) ).
fof(f6881,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_xboole_0(X1,X0)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f6882,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f6883,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(f6884,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,[],[f6883]) ).
fof(f6885,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(f6886,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,[],[f6885]) ).
fof(f6887,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(f6888,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,[],[f6887]) ).
fof(f6889,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(f6890,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,[],[f6889]) ).
fof(f6891,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(f6892,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,[],[f6891]) ).
fof(f6893,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(f6894,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,[],[f6893]) ).
fof(f6897,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(f6898,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(f6899,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,[],[f6898]) ).
fof(f6900,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(f6901,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,[],[f6900]) ).
fof(f6902,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(f6903,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,[],[f6902]) ).
fof(f6904,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(f6905,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(flattening,[],[f6904]) ).
fof(f6906,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(f6907,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,[],[f6906]) ).
fof(f6908,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( l3_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)))
& v10_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)))
& ~ v3_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))) ) ),
inference(ennf_transformation,[],[f6421]) ).
fof(f6909,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( l3_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)))
& v10_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)))
& ~ v3_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))) ) ),
inference(flattening,[],[f6908]) ).
fof(f6910,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ! [X3] :
( ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ! [X4] :
( ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| X2 != X4
| X1 != X3
| k2_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X1,X2) = k3_lopclset(X0,X3,X4) ) ) ) ) ),
inference(ennf_transformation,[],[f6417]) ).
fof(f6911,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ! [X3] :
( ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ! [X4] :
( ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| X2 != X4
| X1 != X3
| k2_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X1,X2) = k3_lopclset(X0,X3,X4) ) ) ) ) ),
inference(flattening,[],[f6910]) ).
fof(f6912,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ! [X3] :
( ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ! [X4] :
( ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| X2 != X4
| X1 != X3
| k1_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X1,X2) = k2_lopclset(X0,X3,X4) ) ) ) ) ),
inference(ennf_transformation,[],[f6416]) ).
fof(f6913,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ! [X3] :
( ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ! [X4] :
( ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| X2 != X4
| X1 != X3
| k1_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X1,X2) = k2_lopclset(X0,X3,X4) ) ) ) ) ),
inference(flattening,[],[f6912]) ).
fof(f6914,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| ( X1 = k4_lopclset(X0)
<=> ! [X2] :
( ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ! [X3] :
( ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X2,X3) = k2_lopclset(X0,X2,X3) ) ) ) ) ),
inference(ennf_transformation,[],[f6414]) ).
fof(f6915,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| ( X1 = k4_lopclset(X0)
<=> ! [X2] :
( ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ! [X3] :
( ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X2,X3) = k2_lopclset(X0,X2,X3) ) ) ) ) ),
inference(flattening,[],[f6914]) ).
fof(f6916,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_1(k4_lopclset(X0)) ) ),
inference(ennf_transformation,[],[f6396]) ).
fof(f6917,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_1(k4_lopclset(X0)) ) ),
inference(flattening,[],[f6916]) ).
fof(f6918,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| ( X1 = k5_lopclset(X0)
<=> ! [X2] :
( ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ! [X3] :
( ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X2,X3) = k3_lopclset(X0,X2,X3) ) ) ) ) ),
inference(ennf_transformation,[],[f6415]) ).
fof(f6919,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| ( X1 = k5_lopclset(X0)
<=> ! [X2] :
( ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ! [X3] :
( ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X2,X3) = k3_lopclset(X0,X2,X3) ) ) ) ) ),
inference(flattening,[],[f6918]) ).
fof(f6920,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_1(k5_lopclset(X0)) ) ),
inference(ennf_transformation,[],[f6397]) ).
fof(f6921,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& v1_funct_1(k5_lopclset(X0)) ) ),
inference(flattening,[],[f6920]) ).
fof(f6922,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(f6923,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(f6924,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,[],[f6923]) ).
fof(f6925,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(f6926,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,[],[f6925]) ).
fof(f6927,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(ennf_transformation,[],[f475]) ).
fof(f6928,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(flattening,[],[f6927]) ).
fof(f6929,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(f6930,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,[],[f6929]) ).
fof(f6931,plain,
! [X0,X1] :
( k2_zfmisc_1(X0,X0) != k2_zfmisc_1(X1,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f440]) ).
fof(f6934,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(f6935,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,[],[f6934]) ).
fof(f6936,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(f6937,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,[],[f6936]) ).
fof(f6938,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| X1 = k1_xboole_0 ),
inference(ennf_transformation,[],[f1415]) ).
fof(f6939,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| X1 = k1_xboole_0 ),
inference(flattening,[],[f6938]) ).
fof(f6940,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(f6941,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,[],[f6940]) ).
fof(f6942,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| X1 = k1_xboole_0 ),
inference(ennf_transformation,[],[f1408]) ).
fof(f6943,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| X1 = k1_xboole_0 ),
inference(flattening,[],[f6942]) ).
fof(f6944,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(f6945,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,[],[f6944]) ).
fof(f6946,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(f6947,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X1,X0)
| ~ m2_relset_1(X2,X1,k1_xboole_0)
| X2 = k1_xboole_0 ),
inference(flattening,[],[f6946]) ).
fof(f6948,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(f6949,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,k1_xboole_0,X1)
| X2 = k1_xboole_0 ),
inference(flattening,[],[f6948]) ).
fof(f6950,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(f6951,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,[],[f6950]) ).
fof(f6952,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(f6953,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,[],[f6952]) ).
fof(f6954,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(f6955,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,[],[f6954]) ).
fof(f6956,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(f6957,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,[],[f6956]) ).
fof(f6958,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(f6959,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,[],[f6958]) ).
fof(f6960,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(f6961,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,[],[f6960]) ).
fof(f6962,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(f6963,plain,
! [X0] :
( ? [X1] :
( r1_xboole_0(X1,X0)
& r2_hidden(X1,X0) )
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f1561]) ).
fof(f6964,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(f6965,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,[],[f6964]) ).
fof(f6966,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(f6967,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(f6968,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(f6969,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(f6970,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(f6971,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,[],[f6970]) ).
fof(f6972,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(f6973,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(f6974,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(f6975,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| r1_xboole_0(k1_tarski(X0),X1) ),
inference(ennf_transformation,[],[f381]) ).
fof(f6976,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X2)
| ~ r1_xboole_0(k2_tarski(X0,X1),X2) ),
inference(ennf_transformation,[],[f380]) ).
fof(f6978,plain,
! [X0,X1] :
( X0 = X1
| r1_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(ennf_transformation,[],[f342]) ).
fof(f6979,plain,
! [X0,X1] :
( X0 != X1
| ~ r1_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(ennf_transformation,[],[f341]) ).
fof(f6980,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(f6981,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,[],[f6980]) ).
fof(f6982,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(f6984,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(f6985,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(f6986,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(flattening,[],[f6985]) ).
fof(f6987,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,k4_xboole_0(X2,X1)) ),
inference(ennf_transformation,[],[f154]) ).
fof(f6988,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(f6989,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(f6990,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X1)
| r1_xboole_0(X0,k4_xboole_0(X1,X2)) ),
inference(ennf_transformation,[],[f149]) ).
fof(f6991,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(f6992,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(f6993,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(f6994,plain,
! [X0,X1] :
( ~ r1_xboole_0(k3_xboole_0(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(ennf_transformation,[],[f144]) ).
fof(f6996,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(f6997,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| r1_tarski(X0,X1) ),
inference(flattening,[],[f6996]) ).
fof(f6998,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(f6999,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,[],[f6998]) ).
fof(f7000,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(f7001,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,[],[f7000]) ).
fof(f7002,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(f7003,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ~ r1_xboole_0(X1,X0)
| ~ r1_tarski(X1,X0) ),
inference(ennf_transformation,[],[f138]) ).
fof(f7004,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ~ r1_xboole_0(X1,X0)
| ~ r1_tarski(X1,X0) ),
inference(flattening,[],[f7003]) ).
fof(f7005,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(f7006,plain,
! [X0,X1,X2] :
( v1_xboole_0(X2)
| ~ r1_xboole_0(X0,X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X2,X0) ),
inference(flattening,[],[f7005]) ).
fof(f7007,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(f7008,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| X0 = k1_xboole_0 ),
inference(flattening,[],[f7007]) ).
fof(f7009,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(f7010,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(f7011,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,[],[f7010]) ).
fof(f7012,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f7013,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,X2) ),
inference(flattening,[],[f7012]) ).
fof(f7014,plain,
! [X0,X1] :
( ~ r1_xboole_0(X0,X1)
| r1_xboole_0(X1,X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f7016,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,[],[f6435]) ).
fof(f7017,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,[],[f6436]) ).
fof(f7018,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(f7019,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,[],[f7018]) ).
fof(f7020,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(f7021,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,[],[f7020]) ).
fof(f7022,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(f7023,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,[],[f7022]) ).
fof(f7024,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(f7025,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,[],[f7024]) ).
fof(f7026,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(f7027,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(f7028,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,[],[f7027]) ).
fof(f7029,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(f7030,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(f7031,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(f7032,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,[],[f7031]) ).
fof(f7033,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(f7034,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,[],[f7033]) ).
fof(f7035,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(f7036,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(f7037,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(f7038,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(f7039,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,[],[f7038]) ).
fof(f7040,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2413]) ).
fof(f7042,plain,
! [X0] :
( ~ v1_finset_1(X0)
| k5_finsub_1(X0) = k1_zfmisc_1(X0) ),
inference(ennf_transformation,[],[f2408]) ).
fof(f7043,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k5_finsub_1(X0),k5_finsub_1(X1)) ),
inference(ennf_transformation,[],[f2404]) ).
fof(f7044,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| v1_finset_1(X1) ),
inference(ennf_transformation,[],[f2376]) ).
fof(f7047,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k2_relat_1(X0)) ),
inference(ennf_transformation,[],[f3243]) ).
fof(f7048,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k2_relat_1(X0)) ),
inference(flattening,[],[f7047]) ).
fof(f7049,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(f7050,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(f7051,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finset_1(k1_relat_1(X0))
<=> v1_finset_1(X0) ) ),
inference(flattening,[],[f7050]) ).
fof(f7052,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(f7053,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,[],[f7052]) ).
fof(f7054,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X0,X1))
| v1_finset_1(X1)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f2360]) ).
fof(f7055,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X0,X1))
| v1_finset_1(X1)
| X0 = k1_xboole_0 ),
inference(flattening,[],[f7054]) ).
fof(f7056,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X1,X0))
| v1_finset_1(X1)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f2359]) ).
fof(f7057,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X1,X0))
| v1_finset_1(X1)
| X0 = k1_xboole_0 ),
inference(flattening,[],[f7056]) ).
fof(f7060,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(f7061,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,[],[f7060]) ).
fof(f7063,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ r1_tarski(X0,X1)
| v1_finset_1(X0) ),
inference(ennf_transformation,[],[f2350]) ).
fof(f7064,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ r1_tarski(X0,X1)
| v1_finset_1(X0) ),
inference(flattening,[],[f7063]) ).
fof(f7065,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(f7066,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(ennf_transformation,[],[f2332]) ).
fof(f7067,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(flattening,[],[f7066]) ).
fof(f7068,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| v1_finset_1(k4_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f2330]) ).
fof(f7070,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(f7071,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_finset_1(X0) ),
inference(ennf_transformation,[],[f2315]) ).
fof(f7072,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(f7073,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,[],[f7072]) ).
fof(f7074,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(f7075,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,[],[f7074]) ).
fof(f7076,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(f7077,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,[],[f7076]) ).
fof(f7078,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(f7079,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,[],[f7078]) ).
fof(f7082,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(f7083,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,[],[f7082]) ).
fof(f7084,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(f7085,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,[],[f7084]) ).
fof(f7086,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(f7087,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(f7088,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,[],[f7087]) ).
fof(f7089,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(f7090,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,[],[f7089]) ).
fof(f7091,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(f7092,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,[],[f7091]) ).
fof(f7093,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(f7094,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,[],[f7093]) ).
fof(f7095,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(f7096,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,[],[f7095]) ).
fof(f7097,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(f7098,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,[],[f7097]) ).
fof(f7099,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(f7100,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(f7101,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,[],[f7100]) ).
fof(f7104,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(f7105,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,[],[f7104]) ).
fof(f7106,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(f7107,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,[],[f7106]) ).
fof(f7108,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(f7109,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(f7110,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,[],[f7109]) ).
fof(f7111,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(f7112,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,[],[f7111]) ).
fof(f7113,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(f7114,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(f7115,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ? [X2] : r2_hidden(X2,k1_relat_1(X1))
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(flattening,[],[f7114]) ).
fof(f7116,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(f7117,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ? [X2] : r2_hidden(X2,k2_relat_1(X1))
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(flattening,[],[f7116]) ).
fof(f7118,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(f7119,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k1_relat_1(X0)) ),
inference(ennf_transformation,[],[f687]) ).
fof(f7120,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k1_relat_1(X0)) ),
inference(flattening,[],[f7119]) ).
fof(f7121,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(f7122,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,[],[f7121]) ).
fof(f7123,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(f7124,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,[],[f7123]) ).
fof(f7125,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(f7126,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,[],[f7125]) ).
fof(f7127,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(f7128,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,[],[f7127]) ).
fof(f7129,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(f7130,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,[],[f7129]) ).
fof(f7131,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(f7132,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,[],[f7131]) ).
fof(f7133,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(f7134,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,[],[f7133]) ).
fof(f7135,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(f7136,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,[],[f7135]) ).
fof(f7137,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(f7138,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,[],[f7137]) ).
fof(f7139,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(f7140,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,[],[f7139]) ).
fof(f7141,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(f7142,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,[],[f7141]) ).
fof(f7143,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(f7144,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,[],[f7143]) ).
fof(f7145,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(f7146,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,[],[f7145]) ).
fof(f7147,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(f7148,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,[],[f7147]) ).
fof(f7149,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(f7150,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,[],[f7149]) ).
fof(f7151,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(f7152,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,[],[f7151]) ).
fof(f7153,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(f7154,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,[],[f7153]) ).
fof(f7155,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(f7156,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,[],[f7155]) ).
fof(f7157,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(f7158,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,[],[f7157]) ).
fof(f7159,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(f7160,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,[],[f7159]) ).
fof(f7161,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(f7162,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,[],[f7161]) ).
fof(f7163,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(f7164,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,[],[f7163]) ).
fof(f7165,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(f7166,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,[],[f7165]) ).
fof(f7167,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(f7168,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,[],[f7167]) ).
fof(f7169,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(f7170,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,[],[f7169]) ).
fof(f7171,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(f7172,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,[],[f7171]) ).
fof(f7173,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(f7174,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,[],[f7173]) ).
fof(f7175,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(f7176,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,[],[f7175]) ).
fof(f7177,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(f7178,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,[],[f7177]) ).
fof(f7179,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(f7180,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,[],[f7179]) ).
fof(f7181,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(f7182,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,[],[f7181]) ).
fof(f7183,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(f7184,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,[],[f7183]) ).
fof(f7185,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(f7186,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,[],[f7185]) ).
fof(f7187,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(f7188,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,[],[f7187]) ).
fof(f7189,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(f7190,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,[],[f7189]) ).
fof(f7191,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(f7192,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,[],[f7191]) ).
fof(f7193,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(f7194,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,[],[f7193]) ).
fof(f7195,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,[],[f6437]) ).
fof(f7196,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,[],[f7195]) ).
fof(f7197,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(f7198,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,[],[f7197]) ).
fof(f7199,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k5_relat_1(X0,X1)) ),
inference(ennf_transformation,[],[f908]) ).
fof(f7200,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k5_relat_1(X0,X1)) ),
inference(flattening,[],[f7199]) ).
fof(f7201,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(f7202,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(f7203,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(f7204,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(f7205,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(f7206,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(f7207,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(f7208,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(f7209,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(f7210,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(f7211,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(f7212,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(f7213,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,[],[f7212]) ).
fof(f7214,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(f7215,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,[],[f7214]) ).
fof(f7216,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(f7217,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,[],[f7216]) ).
fof(f7218,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(f7219,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,[],[f7218]) ).
fof(f7220,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(f7221,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,[],[f7220]) ).
fof(f7222,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(f7223,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(f7224,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(f7225,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(f7226,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,[],[f7225]) ).
fof(f7227,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(f7228,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,[],[f7227]) ).
fof(f7229,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(f7230,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,[],[f7229]) ).
fof(f7231,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(f7232,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,[],[f7231]) ).
fof(f7235,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(f7236,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,[],[f7235]) ).
fof(f7237,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(f7242,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(f7243,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(f7244,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_relat_1(X0)) ),
inference(ennf_transformation,[],[f688]) ).
fof(f7245,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_relat_1(X0)) ),
inference(flattening,[],[f7244]) ).
fof(f7246,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(f7247,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,[],[f6438]) ).
fof(f7248,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(f7249,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(f7250,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,[],[f7249]) ).
fof(f7251,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(f7252,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,[],[f7251]) ).
fof(f7253,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,[],[f6439]) ).
fof(f7254,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,[],[f7253]) ).
fof(f7255,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(f7256,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,[],[f7255]) ).
fof(f7257,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ? [X1,X2] : r2_hidden(k4_tarski(X1,X2),X0)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f760]) ).
fof(f7258,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ? [X1,X2] : r2_hidden(k4_tarski(X1,X2),X0)
| X0 = k1_xboole_0 ),
inference(flattening,[],[f7257]) ).
fof(f7259,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(f7260,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(f7261,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(f7262,plain,
! [X0] :
( v1_relat_1(X0)
<=> ! [X1] :
( ? [X2,X3] : k4_tarski(X2,X3) = X1
| ~ r2_hidden(X1,X0) ) ),
inference(ennf_transformation,[],[f697]) ).
fof(f7263,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,[],[f6440]) ).
fof(f7264,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,[],[f7263]) ).
fof(f7265,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,[],[f6441]) ).
fof(f7266,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,[],[f7265]) ).
fof(f7267,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(f7268,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,[],[f7267]) ).
fof(f7269,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(f7270,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,[],[f7269]) ).
fof(f7271,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(f7272,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(f7273,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(f7274,plain,
! [X0,X1,X2] :
( ? [X3,X4] : k4_tarski(X3,X4) = X0
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(ennf_transformation,[],[f427]) ).
fof(f7275,plain,
! [X0,X1,X2,X3] :
( k4_tarski(X0,X1) != k4_tarski(X2,X3)
| ( X1 = X3
& X0 = X2 ) ),
inference(ennf_transformation,[],[f358]) ).
fof(f7276,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(f7277,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(f7278,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,[],[f7277]) ).
fof(f7279,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(k1_tarski(X0),k1_zfmisc_1(X1)) ),
inference(ennf_transformation,[],[f546]) ).
fof(f7280,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(f7281,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| k1_xboole_0 = X0
| m1_subset_1(k1_tarski(X1),k1_zfmisc_1(X0)) ),
inference(flattening,[],[f7280]) ).
fof(f7282,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(f7283,plain,
! [X0,X1] :
( ? [X2] :
( X2 != X1
& r2_hidden(X2,X0) )
| k1_xboole_0 = X0
| k1_tarski(X1) = X0 ),
inference(ennf_transformation,[],[f366]) ).
fof(f7286,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(f7287,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(f7288,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(f7289,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k4_xboole_0(X1,X0)) ),
inference(ennf_transformation,[],[f709]) ).
fof(f7292,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(f7293,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(f7294,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_tarski(X0,k4_xboole_0(X1,k1_tarski(X2)))
| r2_hidden(X2,X0) ),
inference(flattening,[],[f7293]) ).
fof(f7295,plain,
! [X0,X1] :
( k1_xboole_0 != k4_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 = X1 ),
inference(ennf_transformation,[],[f346]) ).
fof(f7296,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X0,X2),X1) ),
inference(ennf_transformation,[],[f178]) ).
fof(f7297,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k4_xboole_0(X1,X0))
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f107]) ).
fof(f7298,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(f7299,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,[],[f7298]) ).
fof(f7300,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(f7301,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(f7302,plain,
! [X0,X1] :
( k4_xboole_0(X0,X1) != k4_xboole_0(X1,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f101]) ).
fof(f7303,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(f7304,plain,
! [X0] :
( ? [X1] :
( r2_hidden(X1,X0)
& ~ v4_membered(X1) )
| v4_membered(k3_tarski(X0)) ),
inference(ennf_transformation,[],[f3102]) ).
fof(f7305,plain,
! [X0] :
( ? [X1] :
( r2_hidden(X1,X0)
& ~ v3_membered(X1) )
| v3_membered(k3_tarski(X0)) ),
inference(ennf_transformation,[],[f3101]) ).
fof(f7306,plain,
! [X0] :
( ? [X1] :
( r2_hidden(X1,X0)
& ~ v2_membered(X1) )
| v2_membered(k3_tarski(X0)) ),
inference(ennf_transformation,[],[f3100]) ).
fof(f7307,plain,
! [X0] :
( ? [X1] :
( r2_hidden(X1,X0)
& ~ v1_membered(X1) )
| v1_membered(k3_tarski(X0)) ),
inference(ennf_transformation,[],[f3099]) ).
fof(f7308,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(f7309,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| k3_tarski(k1_ordinal1(X0)) = X0 ),
inference(ennf_transformation,[],[f2197]) ).
fof(f7310,plain,
! [X0] :
( ? [X1] :
( r2_hidden(X1,X0)
& ~ v3_ordinal1(X1) )
| v3_ordinal1(k3_tarski(X0)) ),
inference(ennf_transformation,[],[f1223]) ).
fof(f7311,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| v3_ordinal1(k3_tarski(X0)) ),
inference(ennf_transformation,[],[f1218]) ).
fof(f7312,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(f7313,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,[],[f7312]) ).
fof(f7314,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X0)
| ~ r1_tarski(k3_tarski(X0),X1)
| r1_tarski(X2,X1) ),
inference(ennf_transformation,[],[f654]) ).
fof(f7315,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X0)
| ~ r1_tarski(k3_tarski(X0),X1)
| r1_tarski(X2,X1) ),
inference(flattening,[],[f7314]) ).
fof(f7316,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(f7317,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,[],[f7316]) ).
fof(f7318,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(f7319,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k3_tarski(X0),k3_tarski(X1)) ),
inference(ennf_transformation,[],[f420]) ).
fof(f7320,plain,
! [X0,X1] :
( ? [X2] :
( r2_hidden(X2,X0)
& ~ r1_tarski(X2,X1) )
| r1_tarski(k3_tarski(X0),X1) ),
inference(ennf_transformation,[],[f419]) ).
fof(f7321,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| r1_tarski(X0,k3_tarski(X1)) ),
inference(ennf_transformation,[],[f417]) ).
fof(f7322,plain,
! [X0,X1] :
( ~ m1_eqrel_1(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f3446]) ).
fof(f7323,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_eqrel_1(X1,X0)
| ~ v1_xboole_0(X1) ) ),
inference(ennf_transformation,[],[f3390]) ).
fof(f7324,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m1_filter_0(X1,X0) ),
inference(ennf_transformation,[],[f5584]) ).
fof(f7325,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m1_filter_0(X1,X0) ),
inference(flattening,[],[f7324]) ).
fof(f7326,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(f7327,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,[],[f7326]) ).
fof(f7328,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(f7329,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(u1_struct_0(X0),X0) ),
inference(flattening,[],[f7328]) ).
fof(f7330,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(f7331,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,[],[f7330]) ).
fof(f7332,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(f7333,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,[],[f7332]) ).
fof(f7334,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(f7335,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,[],[f7334]) ).
fof(f7336,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(f7337,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,[],[f7336]) ).
fof(f7338,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(f7339,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(f7340,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,[],[f7339]) ).
fof(f7341,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(f7342,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,[],[f7341]) ).
fof(f7343,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(f7344,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(f7345,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(f7346,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(f7347,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,[],[f7346]) ).
fof(f7348,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(f7349,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,[],[f7348]) ).
fof(f7350,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(f7351,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(f7352,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,[],[f7351]) ).
fof(f7353,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| m1_subset_1(k2_finseq_1(X0),k1_zfmisc_1(k5_numbers)) ),
inference(ennf_transformation,[],[f3364]) ).
fof(f7354,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(f7355,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,[],[f7354]) ).
fof(f7356,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(f7357,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,[],[f7356]) ).
fof(f7358,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(f7359,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(f7360,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(f7361,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,[],[f7360]) ).
fof(f7362,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(f7363,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(f7364,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v4_ordinal2(X1)
| k2_finseq_1(X1) != k2_finseq_1(X0)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f3259]) ).
fof(f7365,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v4_ordinal2(X1)
| k2_finseq_1(X1) != k2_finseq_1(X0)
| X0 = X1 ) ),
inference(flattening,[],[f7364]) ).
fof(f7366,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(f7367,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(f7368,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| r2_hidden(X0,k2_finseq_1(X0))
| X0 = np__0 ),
inference(ennf_transformation,[],[f3256]) ).
fof(f7369,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| r2_hidden(X0,k2_finseq_1(X0))
| X0 = np__0 ),
inference(flattening,[],[f7368]) ).
fof(f7370,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(f7371,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(f7372,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,[],[f7371]) ).
fof(f7373,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(f7374,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(f7375,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,[],[f7374]) ).
fof(f7376,plain,
! [X0] :
( ~ v5_membered(X0)
| ? [X1] :
( v4_ordinal2(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k5_numbers ),
inference(ennf_transformation,[],[f3078]) ).
fof(f7377,plain,
! [X0] :
( ~ v5_membered(X0)
| ? [X1] :
( v4_ordinal2(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k5_numbers ),
inference(flattening,[],[f7376]) ).
fof(f7378,plain,
! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v4_ordinal2(X1) ) ),
inference(ennf_transformation,[],[f3073]) ).
fof(f7379,plain,
! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v4_ordinal2(X1) ) ),
inference(flattening,[],[f7378]) ).
fof(f7380,plain,
! [X0] :
( v5_membered(X0)
<=> ! [X1] :
( ~ r2_hidden(X1,X0)
| v4_ordinal2(X1) ) ),
inference(ennf_transformation,[],[f3063]) ).
fof(f7381,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(f7382,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,[],[f7381]) ).
fof(f7383,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(f7384,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,[],[f7383]) ).
fof(f7385,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(f7386,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_int_1(X0) ),
inference(ennf_transformation,[],[f2729]) ).
fof(f7387,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_xreal_0(X0) ),
inference(ennf_transformation,[],[f2677]) ).
fof(f7388,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(f7389,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,[],[f7388]) ).
fof(f7390,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(f7391,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,[],[f7390]) ).
fof(f7392,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(f7393,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(f7394,plain,
! [X0] :
( ~ v1_int_1(X0)
| ~ r1_xreal_0(np__0,X0)
| r2_hidden(X0,k5_numbers) ),
inference(ennf_transformation,[],[f2758]) ).
fof(f7395,plain,
! [X0] :
( ~ v1_int_1(X0)
| ~ r1_xreal_0(np__0,X0)
| r2_hidden(X0,k5_numbers) ),
inference(flattening,[],[f7394]) ).
fof(f7396,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(f7397,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| r1_xreal_0(X1,X0)
| r1_xreal_0(X0,X1) ),
inference(flattening,[],[f7396]) ).
fof(f7398,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| r1_xreal_0(X0,X0) ),
inference(ennf_transformation,[],[f2723]) ).
fof(f7399,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| r1_xreal_0(X0,X0) ),
inference(flattening,[],[f7398]) ).
fof(f7400,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(f7401,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,[],[f7400]) ).
fof(f7402,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(f7403,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(f7404,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| r2_wellord2(k2_finseq_1(X0),X0) ),
inference(ennf_transformation,[],[f3339]) ).
fof(f7405,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(f7406,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,[],[f7405]) ).
fof(f7407,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,[],[f6442]) ).
fof(f7408,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,[],[f7407]) ).
fof(f7409,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(f7410,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,[],[f7409]) ).
fof(f7411,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,[],[f6443]) ).
fof(f7412,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,[],[f7411]) ).
fof(f7413,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(f7414,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,[],[f7413]) ).
fof(f7415,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(f7416,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v14_lattices(X0) ),
inference(ennf_transformation,[],[f5526]) ).
fof(f7417,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v14_lattices(X0) ),
inference(flattening,[],[f7416]) ).
fof(f7418,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(f7419,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,[],[f7418]) ).
fof(f7420,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(f7421,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,[],[f7420]) ).
fof(f7424,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(f7425,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,[],[f7424]) ).
fof(f7428,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(f7429,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_binop_1(u2_lattices(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f7428]) ).
fof(f7430,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(f7431,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,[],[f7430]) ).
fof(f7432,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(f7433,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,[],[f7432]) ).
fof(f7434,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(f7435,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,[],[f7434]) ).
fof(f7436,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(f7437,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(f7438,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,[],[f7437]) ).
fof(f7439,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(f7440,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,[],[f7439]) ).
fof(f7441,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(f7442,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,[],[f7441]) ).
fof(f7443,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(f7444,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_binop_1(u1_lattices(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f7443]) ).
fof(f7445,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(f7446,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,[],[f7445]) ).
fof(f7447,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(f7448,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,[],[f7447]) ).
fof(f7449,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(f7450,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,[],[f7449]) ).
fof(f7451,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(f7452,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,[],[f7451]) ).
fof(f7453,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(f7454,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,[],[f7453]) ).
fof(f7455,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(f7456,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,[],[f7455]) ).
fof(f7457,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(f7458,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,[],[f7457]) ).
fof(f7459,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(f7460,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,[],[f7459]) ).
fof(f7461,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(f7462,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,[],[f7461]) ).
fof(f7463,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(f7464,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,[],[f7463]) ).
fof(f7465,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(f7466,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,[],[f7465]) ).
fof(f7467,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(f7468,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,[],[f7467]) ).
fof(f7469,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(f7470,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,[],[f7469]) ).
fof(f7471,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(f7472,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,[],[f7471]) ).
fof(f7473,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(f7474,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,[],[f7473]) ).
fof(f7475,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(f7476,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,[],[f7475]) ).
fof(f7477,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(f7478,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,[],[f7477]) ).
fof(f7479,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(f7480,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,[],[f7479]) ).
fof(f7481,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(f7482,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,[],[f7481]) ).
fof(f7483,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(f7484,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,[],[f7483]) ).
fof(f7485,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(f7486,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,[],[f7485]) ).
fof(f7487,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(f7488,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,[],[f7487]) ).
fof(f7489,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(f7490,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,[],[f7489]) ).
fof(f7491,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( v8_relat_2(X0)
<=> r1_tarski(k5_relat_1(X0,X0),X0) ) ),
inference(ennf_transformation,[],[f1169]) ).
fof(f7492,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(f7493,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,[],[f7492]) ).
fof(f7498,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(f7499,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,[],[f7498]) ).
fof(f7500,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(f7501,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,[],[f7500]) ).
fof(f7502,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(f7503,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,[],[f7502]) ).
fof(f7504,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(f7505,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| v1_partfun1(X1,k1_xboole_0,X0) ),
inference(flattening,[],[f7504]) ).
fof(f7506,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(f7507,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,[],[f7506]) ).
fof(f7508,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f5712]) ).
fof(f7509,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| v3_struct_0(X0)
| k1_lattice2(k1_lattice2(X0)) = X0 ),
inference(ennf_transformation,[],[f5641]) ).
fof(f7510,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| v3_struct_0(X0)
| k1_lattice2(k1_lattice2(X0)) = X0 ),
inference(flattening,[],[f7509]) ).
fof(f7511,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(f7512,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,[],[f7511]) ).
fof(f7513,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(f7514,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(flattening,[],[f7513]) ).
fof(f7515,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(f7516,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,[],[f7515]) ).
fof(f7517,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(f7518,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,[],[f7517]) ).
fof(f7519,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(f7520,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,[],[f7519]) ).
fof(f7521,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(f7522,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,[],[f7521]) ).
fof(f7527,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(f7528,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,[],[f7527]) ).
fof(f7529,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(f7530,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,[],[f7529]) ).
fof(f7531,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(f7532,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,[],[f7531]) ).
fof(f7533,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(f7534,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,[],[f7533]) ).
fof(f7535,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(f7536,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,[],[f7535]) ).
fof(f7537,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(f7538,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,[],[f7537]) ).
fof(f7539,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(f7540,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,[],[f7539]) ).
fof(f7541,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(f7542,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,[],[f7541]) ).
fof(f7543,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(f7544,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,[],[f7543]) ).
fof(f7545,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(f7546,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,[],[f7545]) ).
fof(f7547,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(f7548,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,[],[f7547]) ).
fof(f7549,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(f7550,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,[],[f7549]) ).
fof(f7551,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(f7552,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v6_group_1(X0)
<=> v6_group_1(k1_lattice2(X0)) ) ),
inference(flattening,[],[f7551]) ).
fof(f7553,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(f7554,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,[],[f7553]) ).
fof(f7555,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(f7556,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,[],[f7555]) ).
fof(f7557,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(f7558,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,[],[f7557]) ).
fof(f7559,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(f7560,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) ) ),
inference(flattening,[],[f7559]) ).
fof(f7561,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(f7562,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) ) ),
inference(flattening,[],[f7561]) ).
fof(f7563,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(f7564,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,[],[f7563]) ).
fof(f7565,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(f7566,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,[],[f7565]) ).
fof(f7567,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(f7568,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,[],[f7567]) ).
fof(f7571,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(f7572,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,[],[f7571]) ).
fof(f7573,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(f7574,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,[],[f7573]) ).
fof(f7575,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(f7576,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(f7577,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(f7578,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,[],[f7577]) ).
fof(f7579,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_relat_1(k1_realset1(X0,X1)) ),
inference(ennf_transformation,[],[f4062]) ).
fof(f7580,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(f7581,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,[],[f7580]) ).
fof(f7586,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(f7587,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,[],[f7586]) ).
fof(f7588,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(f7589,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,[],[f7588]) ).
fof(f7590,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(f7591,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,[],[f7590]) ).
fof(f7594,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(f7595,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,[],[f7594]) ).
fof(f7596,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(f7597,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,[],[f7596]) ).
fof(f7598,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(f7599,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,[],[f7598]) ).
fof(f7600,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(f7601,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,[],[f7600]) ).
fof(f7602,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(f7603,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,[],[f7602]) ).
fof(f7604,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(f7605,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,[],[f7604]) ).
fof(f7606,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(f7607,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,[],[f7606]) ).
fof(f7608,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(f7609,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,[],[f7608]) ).
fof(f7610,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(f7611,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,[],[f7610]) ).
fof(f7612,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(f7613,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,[],[f7612]) ).
fof(f7614,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(f7615,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,[],[f7614]) ).
fof(f7616,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(f7617,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,[],[f7616]) ).
fof(f7618,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(f7619,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,[],[f7618]) ).
fof(f7620,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(f7621,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,[],[f7620]) ).
fof(f7622,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(f7623,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,[],[f7622]) ).
fof(f7624,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(f7625,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,[],[f7624]) ).
fof(f7626,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k3_lopclset(X0,X1,X2) = k3_xboole_0(X1,X2) ),
inference(ennf_transformation,[],[f6395]) ).
fof(f7627,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k3_lopclset(X0,X1,X2) = k3_xboole_0(X1,X2) ),
inference(flattening,[],[f7626]) ).
fof(f7628,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k3_lopclset(X0,X1,X1) = X1 ),
inference(ennf_transformation,[],[f6394]) ).
fof(f7629,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k3_lopclset(X0,X1,X1) = X1 ),
inference(flattening,[],[f7628]) ).
fof(f7630,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k3_lopclset(X0,X1,X2) = k3_lopclset(X0,X2,X1) ),
inference(ennf_transformation,[],[f6393]) ).
fof(f7631,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k3_lopclset(X0,X1,X2) = k3_lopclset(X0,X2,X1) ),
inference(flattening,[],[f7630]) ).
fof(f7632,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k3_lopclset(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(ennf_transformation,[],[f6392]) ).
fof(f7633,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k3_lopclset(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(flattening,[],[f7632]) ).
fof(f7634,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) = k1_lattices(X0,X1,X2) ),
inference(ennf_transformation,[],[f4590]) ).
fof(f7635,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) = k1_lattices(X0,X1,X2) ),
inference(flattening,[],[f7634]) ).
fof(f7636,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_lattices(X0,X1,X2),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f4586]) ).
fof(f7637,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_lattices(X0,X1,X2),u1_struct_0(X0)) ),
inference(flattening,[],[f7636]) ).
fof(f7638,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))
| k1_lattices(X0,X1,X1) = X1 ) ),
inference(ennf_transformation,[],[f4537]) ).
fof(f7639,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))
| k1_lattices(X0,X1,X1) = X1 ) ),
inference(flattening,[],[f7638]) ).
fof(f7640,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X1 = k6_lattices(X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_lattices(X0,X2,X1) = X1
& k1_lattices(X0,X1,X2) = X1 ) ) ) ) ),
inference(ennf_transformation,[],[f4517]) ).
fof(f7641,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X1 = k6_lattices(X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_lattices(X0,X2,X1) = X1
& k1_lattices(X0,X1,X2) = X1 ) ) ) ) ),
inference(flattening,[],[f7640]) ).
fof(f7642,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ( v14_lattices(X0)
<=> ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_lattices(X0,X2,X1) = X1
& k1_lattices(X0,X1,X2) = X1 ) )
& m1_subset_1(X1,u1_struct_0(X0)) ) ) ),
inference(ennf_transformation,[],[f4514]) ).
fof(f7643,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ( v14_lattices(X0)
<=> ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_lattices(X0,X2,X1) = X1
& k1_lattices(X0,X1,X2) = X1 ) )
& m1_subset_1(X1,u1_struct_0(X0)) ) ) ),
inference(flattening,[],[f7642]) ).
fof(f7644,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ( v5_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))
| k1_lattices(X0,X1,k1_lattices(X0,X2,X3)) = k1_lattices(X0,k1_lattices(X0,X1,X2),X3) ) ) ) ) ),
inference(ennf_transformation,[],[f4505]) ).
fof(f7645,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ( v5_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))
| k1_lattices(X0,X1,k1_lattices(X0,X2,X3)) = k1_lattices(X0,k1_lattices(X0,X1,X2),X3) ) ) ) ) ),
inference(flattening,[],[f7644]) ).
fof(f7646,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ( v4_lattices(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_lattices(X0,X1,X2) = k1_lattices(X0,X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f4504]) ).
fof(f7647,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ( v4_lattices(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_lattices(X0,X1,X2) = k1_lattices(X0,X2,X1) ) ) ) ),
inference(flattening,[],[f7646]) ).
fof(f7648,plain,
! [X0] :
( ~ l2_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_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2) ) ) ),
inference(ennf_transformation,[],[f4501]) ).
fof(f7649,plain,
! [X0] :
( ~ l2_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_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2) ) ) ),
inference(flattening,[],[f7648]) ).
fof(f7650,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k2_lopclset(X0,X1,X2) = k2_xboole_0(X1,X2) ),
inference(ennf_transformation,[],[f6391]) ).
fof(f7651,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k2_lopclset(X0,X1,X2) = k2_xboole_0(X1,X2) ),
inference(flattening,[],[f7650]) ).
fof(f7652,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k2_lopclset(X0,X1,X1) = X1 ),
inference(ennf_transformation,[],[f6390]) ).
fof(f7653,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k2_lopclset(X0,X1,X1) = X1 ),
inference(flattening,[],[f7652]) ).
fof(f7654,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k2_lopclset(X0,X1,X2) = k2_lopclset(X0,X2,X1) ),
inference(ennf_transformation,[],[f6389]) ).
fof(f7655,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k2_lopclset(X0,X1,X2) = k2_lopclset(X0,X2,X1) ),
inference(flattening,[],[f7654]) ).
fof(f7656,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k2_lopclset(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(ennf_transformation,[],[f6388]) ).
fof(f7657,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k2_lopclset(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(flattening,[],[f7656]) ).
fof(f7658,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(f7659,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,[],[f7658]) ).
fof(f7660,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(f7661,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,[],[f7660]) ).
fof(f7662,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(f7663,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,[],[f7662]) ).
fof(f7664,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(f7665,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,[],[f7664]) ).
fof(f7666,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(f7667,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(f7668,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,[],[f7667]) ).
fof(f7669,plain,
! [X0] :
( ~ v1_membered(X0)
| ? [X1] :
( v1_xcmplx_0(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k2_numbers ),
inference(ennf_transformation,[],[f3074]) ).
fof(f7670,plain,
! [X0] :
( ~ v1_membered(X0)
| ? [X1] :
( v1_xcmplx_0(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k2_numbers ),
inference(flattening,[],[f7669]) ).
fof(f7671,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v1_xcmplx_0(X1) ) ),
inference(ennf_transformation,[],[f3069]) ).
fof(f7672,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v1_xcmplx_0(X1) ) ),
inference(flattening,[],[f7671]) ).
fof(f7673,plain,
! [X0] :
( v1_membered(X0)
<=> ! [X1] :
( ~ r2_hidden(X1,X0)
| v1_xcmplx_0(X1) ) ),
inference(ennf_transformation,[],[f3059]) ).
fof(f7674,plain,
! [X0,X1] :
( ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0)
| v1_membered(k2_tarski(X0,X1)) ),
inference(ennf_transformation,[],[f3019]) ).
fof(f7675,plain,
! [X0,X1] :
( ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0)
| v1_membered(k2_tarski(X0,X1)) ),
inference(flattening,[],[f7674]) ).
fof(f7676,plain,
! [X0] :
( ~ v1_xcmplx_0(X0)
| v1_membered(k1_tarski(X0)) ),
inference(ennf_transformation,[],[f3014]) ).
fof(f7677,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ m1_subset_1(X1,X0)
| ( v1_xreal_0(X1)
& v1_xcmplx_0(X1) ) ) ),
inference(ennf_transformation,[],[f3008]) ).
fof(f7678,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1) ) ),
inference(ennf_transformation,[],[f3007]) ).
fof(f7679,plain,
! [X0] :
( ~ v1_int_1(X0)
| ( v1_xreal_0(X0)
& v1_xcmplx_0(X0) ) ),
inference(ennf_transformation,[],[f2730]) ).
fof(f7680,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v1_xcmplx_0(X0) ),
inference(ennf_transformation,[],[f2678]) ).
fof(f7681,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ r1_tarski(X0,X1)
| v1_membered(X0) ),
inference(ennf_transformation,[],[f3079]) ).
fof(f7682,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ r1_tarski(X0,X1)
| v1_membered(X0) ),
inference(flattening,[],[f7681]) ).
fof(f7683,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(f7684,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(f7685,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| v1_membered(k4_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f3049]) ).
fof(f7686,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(f7688,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(f7690,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| v1_membered(k3_xboole_0(X1,X0)) ),
inference(ennf_transformation,[],[f3040]) ).
fof(f7692,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(f7693,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,[],[f7692]) ).
fof(f7694,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(f7695,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,[],[f7694]) ).
fof(f7696,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ v1_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f3034]) ).
fof(f7697,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ v1_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(flattening,[],[f7696]) ).
fof(f7698,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(f7699,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(f7701,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(f7702,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,[],[f7701]) ).
fof(f7703,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ( v2_membered(k1_tarski(X0))
& v1_membered(k1_tarski(X0)) ) ),
inference(ennf_transformation,[],[f3015]) ).
fof(f7704,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_numbers))
| ( v2_membered(X0)
& v1_membered(X0) ) ),
inference(ennf_transformation,[],[f2998]) ).
fof(f7705,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_membered(X0) ),
inference(ennf_transformation,[],[f2995]) ).
fof(f7706,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(f7707,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,[],[f7706]) ).
fof(f7708,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(f7709,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,[],[f7708]) ).
fof(f7712,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(f7713,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,[],[f7712]) ).
fof(f7714,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(f7715,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,[],[f7714]) ).
fof(f7716,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(f7717,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_tarski(X0),X1)
| ~ v1_funct_1(X2)
| v2_funct_1(X2) ),
inference(flattening,[],[f7716]) ).
fof(f7718,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(ennf_transformation,[],[f1417]) ).
fof(f7719,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(flattening,[],[f7718]) ).
fof(f7720,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(ennf_transformation,[],[f1410]) ).
fof(f7721,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(flattening,[],[f7720]) ).
fof(f7722,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(f7723,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,[],[f7722]) ).
fof(f7724,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(f7725,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,[],[f7724]) ).
fof(f7726,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(f7727,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,[],[f7726]) ).
fof(f7728,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(f7729,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,[],[f7728]) ).
fof(f7730,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(f7731,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,[],[f7730]) ).
fof(f7732,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(f7733,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,[],[f7732]) ).
fof(f7734,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(f7735,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,[],[f7734]) ).
fof(f7736,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(f7737,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,[],[f7736]) ).
fof(f7738,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(f7739,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,[],[f7738]) ).
fof(f7740,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(f7741,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,[],[f7740]) ).
fof(f7742,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(f7743,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,[],[f7742]) ).
fof(f7744,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(f7745,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,[],[f7744]) ).
fof(f7746,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(f7747,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,[],[f7746]) ).
fof(f7748,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(f7749,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,[],[f7748]) ).
fof(f7752,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(f7753,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,[],[f7752]) ).
fof(f7754,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(f7755,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,[],[f7754]) ).
fof(f7756,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(f7757,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,[],[f7756]) ).
fof(f7758,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(f7759,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,[],[f7758]) ).
fof(f7760,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(f7761,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,[],[f7760]) ).
fof(f7762,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(f7763,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,[],[f7762]) ).
fof(f7764,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(f7765,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,[],[f7764]) ).
fof(f7766,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(f7767,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(f7768,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,[],[f7767]) ).
fof(f7769,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(f7770,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,[],[f7769]) ).
fof(f7771,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(f7772,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,[],[f7771]) ).
fof(f7773,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(f7774,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,[],[f7773]) ).
fof(f7775,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(f7776,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,[],[f7775]) ).
fof(f7777,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(f7778,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,[],[f7777]) ).
fof(f7779,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(f7780,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,[],[f7779]) ).
fof(f7781,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(f7782,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,[],[f7781]) ).
fof(f7783,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(f7784,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,[],[f7783]) ).
fof(f7785,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(f7786,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(f7787,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,[],[f7786]) ).
fof(f7788,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(f7789,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,[],[f7788]) ).
fof(f7790,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(f7791,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,[],[f7790]) ).
fof(f7792,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(f7793,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(f7794,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(f7795,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(f7796,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,[],[f7795]) ).
fof(f7797,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,k1_xboole_0) = k1_xboole_0 ),
inference(ennf_transformation,[],[f858]) ).
fof(f7798,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(f7799,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(f7800,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,k1_relat_1(X0)) = k2_relat_1(X0) ),
inference(ennf_transformation,[],[f855]) ).
fof(f7801,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(f7802,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,X0),k2_relat_1(X1)) ),
inference(ennf_transformation,[],[f853]) ).
fof(f7803,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(f7804,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(f7805,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(f7806,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,[],[f7805]) ).
fof(f7807,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(f7808,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,[],[f7807]) ).
fof(f7809,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(f7814,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(f7815,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,[],[f7814]) ).
fof(f7816,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(f7817,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,[],[f7816]) ).
fof(f7818,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(f7819,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,[],[f7818]) ).
fof(f7820,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(f7821,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,[],[f7820]) ).
fof(f7822,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(f7823,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,[],[f7822]) ).
fof(f7824,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(f7825,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,[],[f7824]) ).
fof(f7826,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_relat_1(k7_relat_1(X0,X1)) ),
inference(ennf_transformation,[],[f910]) ).
fof(f7827,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(f7828,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(f7829,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,[],[f7828]) ).
fof(f7830,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(f7831,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,[],[f7830]) ).
fof(f7832,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(f7833,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,[],[f7832]) ).
fof(f7834,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k7_relat_1(X0,k1_xboole_0) = k1_xboole_0 ),
inference(ennf_transformation,[],[f817]) ).
fof(f7835,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(f7836,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(f7837,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(f7838,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(f7839,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,[],[f7838]) ).
fof(f7840,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(f7841,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,[],[f7840]) ).
fof(f7842,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(f7843,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,[],[f7842]) ).
fof(f7844,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(f7845,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,[],[f7844]) ).
fof(f7846,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(f7847,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,[],[f7846]) ).
fof(f7848,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(f7849,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(f7850,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(f7851,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k7_relat_1(X0,k1_relat_1(X0)) = X0 ),
inference(ennf_transformation,[],[f805]) ).
fof(f7852,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(f7853,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| k7_relat_1(X1,X0) = X1 ),
inference(flattening,[],[f7852]) ).
fof(f7854,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(f7855,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(f7856,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,[],[f7855]) ).
fof(f7857,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(f7858,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(f7859,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k7_relat_1(X1,X0),X1) ),
inference(ennf_transformation,[],[f795]) ).
fof(f7860,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k1_relat_1(k7_relat_1(X1,X0)),X0) ),
inference(ennf_transformation,[],[f794]) ).
fof(f7861,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(f7862,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(f7863,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(f7864,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,[],[f7863]) ).
fof(f7865,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(f7866,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,[],[f7865]) ).
fof(f7867,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(f7868,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,[],[f7867]) ).
fof(f7869,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(f7870,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,[],[f7869]) ).
fof(f7871,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(f7872,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,[],[f7871]) ).
fof(f7873,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(f7874,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,[],[f7873]) ).
fof(f7875,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(f7876,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,[],[f7875]) ).
fof(f7877,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(f7878,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,[],[f7877]) ).
fof(f7879,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(f7880,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,[],[f7879]) ).
fof(f7881,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(f7882,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(f7883,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,[],[f7882]) ).
fof(f7884,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(f7885,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,[],[f7884]) ).
fof(f7886,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(f7887,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,[],[f7886]) ).
fof(f7888,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(f7889,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,[],[f7888]) ).
fof(f7890,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(f7891,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,[],[f7890]) ).
fof(f7892,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(f7893,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,[],[f7892]) ).
fof(f7894,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(f7895,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(f7896,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(f7897,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(f7898,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,[],[f7897]) ).
fof(f7899,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k10_relat_1(X0,k1_xboole_0) = k1_xboole_0 ),
inference(ennf_transformation,[],[f881]) ).
fof(f7900,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(f7901,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k10_relat_1(X0,k2_relat_1(X0)) = k1_relat_1(X0) ),
inference(ennf_transformation,[],[f879]) ).
fof(f7902,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(f7903,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k10_relat_1(X1,X0),k1_relat_1(X1)) ),
inference(ennf_transformation,[],[f877]) ).
fof(f7904,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(f7905,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(f7906,plain,
! [X0,X1,X2] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| ( r2_hidden(k4_tarski(X0,X1),X2)
& r2_hidden(k2_tarski(X0,X1),X2) ) ),
inference(ennf_transformation,[],[f3631]) ).
fof(f7907,plain,
! [X0,X1,X2] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| ( r2_hidden(k4_tarski(X0,X1),X2)
& r2_hidden(k2_tarski(X0,X1),X2) ) ),
inference(flattening,[],[f7906]) ).
fof(f7908,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(f7909,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,[],[f7908]) ).
fof(f7910,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(f7911,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,[],[f7910]) ).
fof(f7912,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(f7913,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(f7914,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(f7915,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(f7916,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,[],[f7915]) ).
fof(f7917,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(f7918,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(f7919,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,[],[f7918]) ).
fof(f7920,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(f7921,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| k2_xboole_0(k2_tarski(X0,X2),X1) = X1 ),
inference(flattening,[],[f7920]) ).
fof(f7922,plain,
! [X0,X1,X2] :
( ~ r1_tarski(k2_xboole_0(k2_tarski(X0,X1),X2),X2)
| r2_hidden(X0,X2) ),
inference(ennf_transformation,[],[f372]) ).
fof(f7923,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(f7924,plain,
! [X0,X1,X2,X3] :
( X0 = X3
| X0 = X2
| ~ r1_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3)) ),
inference(ennf_transformation,[],[f353]) ).
fof(f7925,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(f7926,plain,
! [X0,X1,X2] :
( ~ r1_tarski(k2_tarski(X0,X1),k1_tarski(X2))
| X0 = X2 ),
inference(ennf_transformation,[],[f351]) ).
fof(f7928,plain,
! [X0,X1] :
( X0 = X1
| k4_xboole_0(k2_tarski(X0,X1),k1_tarski(X1)) = k1_tarski(X0) ),
inference(ennf_transformation,[],[f348]) ).
fof(f7929,plain,
! [X0,X1,X2,X3] :
( X0 = X3
| X0 = X2
| k2_tarski(X0,X1) != k2_tarski(X2,X3) ),
inference(ennf_transformation,[],[f335]) ).
fof(f7930,plain,
! [X0,X1,X2] :
( k1_tarski(X0) != k2_tarski(X1,X2)
| X1 = X2 ),
inference(ennf_transformation,[],[f334]) ).
fof(f7931,plain,
! [X0,X1,X2] :
( k1_tarski(X0) != k2_tarski(X1,X2)
| X0 = X1 ),
inference(ennf_transformation,[],[f333]) ).
fof(f7934,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| X0 = k1_card_1(X0) ),
inference(ennf_transformation,[],[f3194]) ).
fof(f7935,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(ennf_transformation,[],[f3152]) ).
fof(f7936,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(f7937,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k3_finseq_1(X0) = k1_card_1(X0) ),
inference(flattening,[],[f7936]) ).
fof(f7938,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(f7939,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,[],[f7938]) ).
fof(f7940,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(f7943,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(f7944,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,[],[f7943]) ).
fof(f7945,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(f7946,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,[],[f7945]) ).
fof(f7947,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(f7948,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,[],[f7947]) ).
fof(f7949,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(f7950,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(f7951,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,[],[f7950]) ).
fof(f7952,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ r1_tarski(X0,X1)
| v4_membered(X0) ),
inference(ennf_transformation,[],[f3082]) ).
fof(f7953,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ r1_tarski(X0,X1)
| v4_membered(X0) ),
inference(flattening,[],[f7952]) ).
fof(f7954,plain,
! [X0] :
( ~ v4_membered(X0)
| ? [X1] :
( v1_int_1(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k4_numbers ),
inference(ennf_transformation,[],[f3077]) ).
fof(f7955,plain,
! [X0] :
( ~ v4_membered(X0)
| ? [X1] :
( v1_int_1(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k4_numbers ),
inference(flattening,[],[f7954]) ).
fof(f7956,plain,
! [X0] :
( ~ v4_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v1_int_1(X1) ) ),
inference(ennf_transformation,[],[f3072]) ).
fof(f7957,plain,
! [X0] :
( ~ v4_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v1_int_1(X1) ) ),
inference(flattening,[],[f7956]) ).
fof(f7958,plain,
! [X0] :
( ~ v4_membered(X0)
| r1_tarski(X0,k4_numbers) ),
inference(ennf_transformation,[],[f3067]) ).
fof(f7959,plain,
! [X0] :
( v4_membered(X0)
<=> ! [X1] :
( ~ r2_hidden(X1,X0)
| v1_int_1(X1) ) ),
inference(ennf_transformation,[],[f3062]) ).
fof(f7960,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(f7961,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,[],[f7960]) ).
fof(f7962,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(f7963,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,[],[f7962]) ).
fof(f7964,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(f7965,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(f7966,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(f7968,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(f7970,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(f7971,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,[],[f7970]) ).
fof(f7972,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(f7973,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,[],[f7972]) ).
fof(f7974,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(f7975,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(f7976,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(f7977,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,[],[f7976]) ).
fof(f7978,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(f7979,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,[],[f7978]) ).
fof(f7980,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(f7981,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(f7982,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(f7983,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(f7984,plain,
! [X0] :
( ~ v4_membered(X0)
| v3_membered(X0) ),
inference(ennf_transformation,[],[f2993]) ).
fof(f7985,plain,
! [X0] :
( ~ v5_membered(X0)
| v4_membered(X0) ),
inference(ennf_transformation,[],[f2992]) ).
fof(f7986,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ r1_tarski(X0,X1)
| v3_membered(X0) ),
inference(ennf_transformation,[],[f3081]) ).
fof(f7987,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ r1_tarski(X0,X1)
| v3_membered(X0) ),
inference(flattening,[],[f7986]) ).
fof(f7988,plain,
! [X0] :
( ~ v3_membered(X0)
| r1_tarski(X0,k3_numbers) ),
inference(ennf_transformation,[],[f3066]) ).
fof(f7989,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(f7990,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,[],[f7989]) ).
fof(f7991,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(f7992,plain,
! [X0] :
( ~ v3_membered(X0)
| v2_membered(X0) ),
inference(ennf_transformation,[],[f2994]) ).
fof(f7993,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(f7994,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,[],[f7993]) ).
fof(f7995,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(f7996,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(f7997,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,[],[f7996]) ).
fof(f7998,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ r1_tarski(X0,X1)
| v2_membered(X0) ),
inference(ennf_transformation,[],[f3080]) ).
fof(f7999,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ r1_tarski(X0,X1)
| v2_membered(X0) ),
inference(flattening,[],[f7998]) ).
fof(f8000,plain,
! [X0] :
( ~ v2_membered(X0)
| ? [X1] :
( v1_xreal_0(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k1_numbers ),
inference(ennf_transformation,[],[f3075]) ).
fof(f8001,plain,
! [X0] :
( ~ v2_membered(X0)
| ? [X1] :
( v1_xreal_0(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k1_numbers ),
inference(flattening,[],[f8000]) ).
fof(f8002,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v1_xreal_0(X1) ) ),
inference(ennf_transformation,[],[f3070]) ).
fof(f8003,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v1_xreal_0(X1) ) ),
inference(flattening,[],[f8002]) ).
fof(f8004,plain,
! [X0] :
( ~ v2_membered(X0)
| r1_tarski(X0,k1_numbers) ),
inference(ennf_transformation,[],[f3065]) ).
fof(f8005,plain,
! [X0] :
( v2_membered(X0)
<=> ! [X1] :
( ~ r2_hidden(X1,X0)
| v1_xreal_0(X1) ) ),
inference(ennf_transformation,[],[f3060]) ).
fof(f8006,plain,
! [X0] :
? [X1] :
( v3_ordinal1(X1)
& ~ r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f1226]) ).
fof(f8007,plain,
! [X0] :
? [X1] :
( r2_hidden(X1,X0)
<~> v3_ordinal1(X1) ),
inference(ennf_transformation,[],[f1225]) ).
fof(f8008,plain,
! [X0] :
( ? [X2] :
( v3_ordinal1(X2)
& r1_tarski(X0,X2) )
| ? [X1] :
( r2_hidden(X1,X0)
& ~ v3_ordinal1(X1) ) ),
inference(ennf_transformation,[],[f6444]) ).
fof(f8009,plain,
! [X0] :
( ? [X1] :
( r2_hidden(X1,X0)
& ( ~ r1_tarski(X1,X0)
| ~ v3_ordinal1(X1) ) )
| v3_ordinal1(X0) ),
inference(ennf_transformation,[],[f1219]) ).
fof(f8010,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ! [X1] :
( ~ v3_ordinal1(X1)
| r2_hidden(X1,X0)
| X0 = X1
| r2_hidden(X0,X1) ) ),
inference(ennf_transformation,[],[f1212]) ).
fof(f8011,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ! [X1] :
( ~ v3_ordinal1(X1)
| r2_hidden(X1,X0)
| X0 = X1
| r2_hidden(X0,X1) ) ),
inference(flattening,[],[f8010]) ).
fof(f8012,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ~ r2_hidden(X0,X1)
| v3_ordinal1(X0) ),
inference(ennf_transformation,[],[f1211]) ).
fof(f8013,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ~ r2_hidden(X0,X1)
| v3_ordinal1(X0) ),
inference(flattening,[],[f8012]) ).
fof(f8014,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| k4_xboole_0(k1_ordinal1(X0),k1_tarski(X0)) = X0 ),
inference(ennf_transformation,[],[f4115]) ).
fof(f8015,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ! [X1] :
( ~ r2_hidden(X0,X1)
| ~ v2_classes1(X1)
| ( r1_tarski(X0,X1)
& r2_hidden(k1_ordinal1(X0),X1) ) ) ),
inference(ennf_transformation,[],[f3572]) ).
fof(f8016,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ! [X1] :
( ~ r2_hidden(X0,X1)
| ~ v2_classes1(X1)
| ( r1_tarski(X0,X1)
& r2_hidden(k1_ordinal1(X0),X1) ) ) ),
inference(flattening,[],[f8015]) ).
fof(f8017,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| r1_tarski(k1_ordinal1(X0),k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2198]) ).
fof(f8018,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,[],[f6445]) ).
fof(f8019,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(f8020,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ( v4_ordinal1(X0)
<=> ! [X1] :
( ~ v3_ordinal1(X1)
| ~ r2_hidden(X1,X0)
| r2_hidden(k1_ordinal1(X1),X0) ) ) ),
inference(flattening,[],[f8019]) ).
fof(f8021,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| v3_ordinal1(k1_ordinal1(X0)) ),
inference(ennf_transformation,[],[f1217]) ).
fof(f8022,plain,
! [X0,X1] :
( k1_ordinal1(X0) != k1_ordinal1(X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f1197]) ).
fof(f8023,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(f8024,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,[],[f8023]) ).
fof(f8025,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(f8026,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,[],[f8025]) ).
fof(f8027,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(f8028,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,[],[f8027]) ).
fof(f8029,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(f8030,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,[],[f8029]) ).
fof(f8031,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(f8032,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,[],[f8031]) ).
fof(f8033,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(f8034,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,[],[f8033]) ).
fof(f8035,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(f8036,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,[],[f8035]) ).
fof(f8037,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(f8038,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,[],[f8037]) ).
fof(f8039,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(f8040,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,[],[f8039]) ).
fof(f8041,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(f8042,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,[],[f8041]) ).
fof(f8043,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( v3_xreal_0(k2_xcmplx_0(X1,X0))
& ~ v2_xreal_0(k2_xcmplx_0(X1,X0))
& v1_xreal_0(k2_xcmplx_0(X1,X0))
& v1_xcmplx_0(k2_xcmplx_0(X1,X0))
& ~ v1_xboole_0(k2_xcmplx_0(X1,X0)) ) ),
inference(ennf_transformation,[],[f2700]) ).
fof(f8044,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( v3_xreal_0(k2_xcmplx_0(X1,X0))
& ~ v2_xreal_0(k2_xcmplx_0(X1,X0))
& v1_xreal_0(k2_xcmplx_0(X1,X0))
& v1_xcmplx_0(k2_xcmplx_0(X1,X0))
& ~ v1_xboole_0(k2_xcmplx_0(X1,X0)) ) ),
inference(flattening,[],[f8043]) ).
fof(f8045,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( v3_xreal_0(k2_xcmplx_0(X0,X1))
& ~ v2_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1))
& ~ v1_xboole_0(k2_xcmplx_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f2699]) ).
fof(f8046,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( v3_xreal_0(k2_xcmplx_0(X0,X1))
& ~ v2_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1))
& ~ v1_xboole_0(k2_xcmplx_0(X0,X1)) ) ),
inference(flattening,[],[f8045]) ).
fof(f8047,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v3_xreal_0(k2_xcmplx_0(X1,X0))
& v2_xreal_0(k2_xcmplx_0(X1,X0))
& v1_xreal_0(k2_xcmplx_0(X1,X0))
& v1_xcmplx_0(k2_xcmplx_0(X1,X0))
& ~ v1_xboole_0(k2_xcmplx_0(X1,X0)) ) ),
inference(ennf_transformation,[],[f2698]) ).
fof(f8048,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v3_xreal_0(k2_xcmplx_0(X1,X0))
& v2_xreal_0(k2_xcmplx_0(X1,X0))
& v1_xreal_0(k2_xcmplx_0(X1,X0))
& v1_xcmplx_0(k2_xcmplx_0(X1,X0))
& ~ v1_xboole_0(k2_xcmplx_0(X1,X0)) ) ),
inference(flattening,[],[f8047]) ).
fof(f8049,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v3_xreal_0(k2_xcmplx_0(X0,X1))
& v2_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1))
& ~ v1_xboole_0(k2_xcmplx_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f2697]) ).
fof(f8050,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v3_xreal_0(k2_xcmplx_0(X0,X1))
& v2_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1))
& ~ v1_xboole_0(k2_xcmplx_0(X0,X1)) ) ),
inference(flattening,[],[f8049]) ).
fof(f8051,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v2_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f2696]) ).
fof(f8052,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v2_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ) ),
inference(flattening,[],[f8051]) ).
fof(f8053,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v3_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f2695]) ).
fof(f8054,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v3_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ) ),
inference(flattening,[],[f8053]) ).
fof(f8055,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(f8056,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,[],[f8055]) ).
fof(f8057,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(f8058,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,[],[f8057]) ).
fof(f8059,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(f8060,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,[],[f8059]) ).
fof(f8061,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ r2_hidden(X1,X0)
| v5_membered(k1_setfam_1(X0)) ),
inference(ennf_transformation,[],[f3108]) ).
fof(f8062,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ r2_hidden(X1,X0)
| v5_membered(k1_setfam_1(X0)) ),
inference(flattening,[],[f8061]) ).
fof(f8063,plain,
! [X0] :
( ? [X1] :
( r2_hidden(X1,X0)
& ~ v5_membered(X1) )
| v5_membered(k3_tarski(X0)) ),
inference(ennf_transformation,[],[f3103]) ).
fof(f8064,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ r1_tarski(X0,X1)
| v5_membered(X0) ),
inference(ennf_transformation,[],[f3083]) ).
fof(f8065,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ r1_tarski(X0,X1)
| v5_membered(X0) ),
inference(flattening,[],[f8064]) ).
fof(f8066,plain,
! [X0] :
( ~ v5_membered(X0)
| r1_tarski(X0,k5_numbers) ),
inference(ennf_transformation,[],[f3068]) ).
fof(f8067,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(f8068,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(f8069,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,[],[f8068]) ).
fof(f8070,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(f8071,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,[],[f8070]) ).
fof(f8072,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(f8073,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,[],[f8072]) ).
fof(f8074,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(f8075,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(f8076,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,[],[f8075]) ).
fof(f8077,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(f8078,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(f8079,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(f8080,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,[],[f8079]) ).
fof(f8081,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(f8082,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(f8083,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v3_ordinal1(X1)
| ~ r2_wellord2(X1,X0)
| X1 = X0 ) ),
inference(flattening,[],[f8082]) ).
fof(f8084,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(f8085,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(f8086,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(f8087,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(f8088,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,[],[f8087]) ).
fof(f8089,plain,
! [X0] :
( ? [X1] :
( m2_subset_1(X1,k1_numbers,k5_numbers)
& r2_wellord2(X0,X1) )
| ~ v1_finset_1(X0) ),
inference(ennf_transformation,[],[f3202]) ).
fof(f8090,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| ~ r2_wellord2(X0,X1)
| v1_finset_1(X1) ),
inference(ennf_transformation,[],[f3196]) ).
fof(f8091,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| ~ r2_wellord2(X0,X1)
| v1_finset_1(X1) ),
inference(flattening,[],[f8090]) ).
fof(f8092,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(f8093,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,[],[f8092]) ).
fof(f8094,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(f8095,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,[],[f8094]) ).
fof(f8096,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(f8097,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,[],[f8096]) ).
fof(f8098,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(f8099,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,[],[f8098]) ).
fof(f8100,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(f8101,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,[],[f8100]) ).
fof(f8102,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(f8103,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(f8104,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,[],[f8103]) ).
fof(f8105,plain,
! [X0,X1] :
( ~ v1_card_1(X1)
| ( X1 = k1_card_1(X0)
<=> r2_wellord2(X0,X1) ) ),
inference(ennf_transformation,[],[f3139]) ).
fof(f8106,plain,
! [X0] :
( ~ v1_card_1(X0)
| ! [X1] :
( ~ v1_card_1(X1)
| ( X0 = X1
<=> r2_wellord2(X0,X1) ) ) ),
inference(ennf_transformation,[],[f3129]) ).
fof(f8107,plain,
! [X0] :
( v1_card_1(X0)
<=> ? [X1] :
( ! [X2] :
( ~ v3_ordinal1(X2)
| ~ r2_wellord2(X2,X1)
| r1_ordinal1(X1,X2) )
& X0 = X1
& v3_ordinal1(X1) ) ),
inference(ennf_transformation,[],[f3121]) ).
fof(f8108,plain,
! [X0] :
( v1_card_1(X0)
<=> ? [X1] :
( ! [X2] :
( ~ v3_ordinal1(X2)
| ~ r2_wellord2(X2,X1)
| r1_ordinal1(X1,X2) )
& X0 = X1
& v3_ordinal1(X1) ) ),
inference(flattening,[],[f8107]) ).
fof(f8109,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(f8110,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,[],[f8109]) ).
fof(f8111,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(f8112,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,[],[f8111]) ).
fof(f8113,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(f8114,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,[],[f8113]) ).
fof(f8115,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(f8116,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,[],[f8115]) ).
fof(f8117,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(f8118,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,[],[f8117]) ).
fof(f8119,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(f8120,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,[],[f8119]) ).
fof(f8121,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(f8122,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,[],[f8121]) ).
fof(f8123,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(f8124,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,[],[f8123]) ).
fof(f8125,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(f8126,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,[],[f8125]) ).
fof(f8127,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(f8128,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,[],[f8127]) ).
fof(f8129,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(f8130,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,[],[f8129]) ).
fof(f8131,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(f8132,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,[],[f8131]) ).
fof(f8133,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| k1_ordinal1(X0) = k1_nat_1(X0,np__1) ),
inference(ennf_transformation,[],[f3180]) ).
fof(f8134,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(f8135,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,[],[f8134]) ).
fof(f8136,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(f8137,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,[],[f8136]) ).
fof(f8138,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(f8139,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,[],[f8138]) ).
fof(f8140,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(f8141,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,[],[f8140]) ).
fof(f8142,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(f8143,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,[],[f8142]) ).
fof(f8144,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(f8145,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,[],[f8144]) ).
fof(f8146,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(f8147,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,[],[f8146]) ).
fof(f8148,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(f8149,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,[],[f8148]) ).
fof(f8150,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(f8151,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,[],[f8150]) ).
fof(f8152,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(f8153,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,[],[f8152]) ).
fof(f8154,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(f8155,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,[],[f8154]) ).
fof(f8156,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(f8157,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,[],[f8156]) ).
fof(f8158,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(f8159,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,[],[f8158]) ).
fof(f8160,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(f8161,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,[],[f8160]) ).
fof(f8162,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(f8163,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,[],[f8162]) ).
fof(f8164,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_rfinseq(X0,X1)
| ( k4_finseq_1(X0) = k4_finseq_1(X1)
& k3_finseq_1(X0) = k3_finseq_1(X1) ) ) ),
inference(ennf_transformation,[],[f4225]) ).
fof(f8165,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_rfinseq(X0,X1)
| ( k4_finseq_1(X0) = k4_finseq_1(X1)
& k3_finseq_1(X0) = k3_finseq_1(X1) ) ) ),
inference(flattening,[],[f8164]) ).
fof(f8166,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(f8167,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k4_finseq_1(X0) = k1_relat_1(X0) ),
inference(flattening,[],[f8166]) ).
fof(f8168,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(f8169,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,[],[f8168]) ).
fof(f8170,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(f8171,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,[],[f8170]) ).
fof(f8172,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(f8173,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,[],[f8172]) ).
fof(f8174,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(f8175,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,[],[f8174]) ).
fof(f8176,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(f8177,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,[],[f8176]) ).
fof(f8178,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(f8179,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,[],[f8178]) ).
fof(f8180,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(f8181,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,[],[f8180]) ).
fof(f8182,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(f8183,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,[],[f8182]) ).
fof(f8184,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,[],[f6446]) ).
fof(f8185,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,[],[f8184]) ).
fof(f8186,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(f8187,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,[],[f8186]) ).
fof(f8188,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(f8189,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,[],[f8188]) ).
fof(f8190,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(f8191,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,[],[f8190]) ).
fof(f8192,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,[],[f6447]) ).
fof(f8193,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,[],[f8192]) ).
fof(f8194,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(f8195,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,[],[f8194]) ).
fof(f8196,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(f8197,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,[],[f8196]) ).
fof(f8198,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(f8199,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,[],[f8198]) ).
fof(f8200,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(f8201,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,[],[f8200]) ).
fof(f8202,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f4594]) ).
fof(f8203,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f8202]) ).
fof(f8204,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(f8205,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,[],[f8204]) ).
fof(f8206,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(f8207,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,[],[f8206]) ).
fof(f8208,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(f8209,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,[],[f8208]) ).
fof(f8210,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(f8211,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,[],[f8210]) ).
fof(f8212,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(f8213,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,[],[f8212]) ).
fof(f8214,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(f8215,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,[],[f8214]) ).
fof(f8216,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(f8217,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,[],[f8216]) ).
fof(f8218,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,[],[f6448]) ).
fof(f8219,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,[],[f8218]) ).
fof(f8220,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(f8221,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,[],[f8220]) ).
fof(f8222,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(f8223,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,[],[f8222]) ).
fof(f8224,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f4595]) ).
fof(f8225,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f8224]) ).
fof(f8226,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(f8227,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,[],[f8226]) ).
fof(f8228,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(f8229,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,[],[f8228]) ).
fof(f8230,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l2_lattices(X0)
& l1_lattices(X0) ) ),
inference(ennf_transformation,[],[f4579]) ).
fof(f8231,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f4577]) ).
fof(f8234,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(f8235,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,[],[f8234]) ).
fof(f8236,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(f8237,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,[],[f8236]) ).
fof(f8238,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,[],[f6449]) ).
fof(f8239,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,[],[f8238]) ).
fof(f8240,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(f8241,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,[],[f8240]) ).
fof(f8242,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(f8243,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,[],[f8242]) ).
fof(f8244,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(f8245,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,[],[f8244]) ).
fof(f8246,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(f8247,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,[],[f8246]) ).
fof(f8248,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(f8249,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,[],[f8248]) ).
fof(f8250,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(f8251,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,[],[f8250]) ).
fof(f8252,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(f8253,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,[],[f8252]) ).
fof(f8254,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(f8255,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,[],[f8254]) ).
fof(f8256,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(f8257,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,[],[f8256]) ).
fof(f8258,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(f8259,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,[],[f8258]) ).
fof(f8260,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(f8261,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,[],[f8260]) ).
fof(f8262,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(f8263,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,[],[f8262]) ).
fof(f8266,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(f8267,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,[],[f8266]) ).
fof(f8268,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(f8269,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,[],[f8268]) ).
fof(f8270,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(f8271,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,[],[f8270]) ).
fof(f8272,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(f8273,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,[],[f8272]) ).
fof(f8274,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(f8275,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,[],[f8274]) ).
fof(f8276,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(f8277,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,[],[f8276]) ).
fof(f8278,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(f8279,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,[],[f8278]) ).
fof(f8284,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(f8285,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,[],[f8284]) ).
fof(f8286,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(f8287,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,[],[f8286]) ).
fof(f8288,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(f8289,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ( v14_lattices(X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f8288]) ).
fof(f8290,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(f8291,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ( v15_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f8290]) ).
fof(f8292,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(f8293,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,[],[f8292]) ).
fof(f8294,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(ennf_transformation,[],[f5528]) ).
fof(f8295,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(flattening,[],[f8294]) ).
fof(f8296,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(f8297,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,[],[f8296]) ).
fof(f8298,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(f8299,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,[],[f8298]) ).
fof(f8300,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(f8301,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,[],[f8300]) ).
fof(f8302,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(f8303,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,[],[f8302]) ).
fof(f8304,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(f8305,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,[],[f8304]) ).
fof(f8306,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(f8307,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,[],[f8306]) ).
fof(f8310,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(f8311,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,[],[f8310]) ).
fof(f8312,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(f8313,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,[],[f8312]) ).
fof(f8314,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(f8315,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,[],[f8314]) ).
fof(f8316,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(f8317,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,[],[f8316]) ).
fof(f8318,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(f8319,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,[],[f8318]) ).
fof(f8320,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(f8321,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,[],[f8320]) ).
fof(f8322,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(f8323,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,[],[f8322]) ).
fof(f8324,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(f8325,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,[],[f8324]) ).
fof(f8326,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(f8327,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,[],[f8326]) ).
fof(f8328,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(f8329,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,[],[f8328]) ).
fof(f8330,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,[],[f6450]) ).
fof(f8331,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,[],[f8330]) ).
fof(f8334,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(f8335,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,[],[f8334]) ).
fof(f8336,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(f8337,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,[],[f8336]) ).
fof(f8340,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(f8341,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,[],[f8340]) ).
fof(f8344,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(f8345,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,[],[f8344]) ).
fof(f8346,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(f8347,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,[],[f8346]) ).
fof(f8348,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(f8349,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,[],[f8348]) ).
fof(f8350,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(f8351,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,[],[f8350]) ).
fof(f8352,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(f8353,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,[],[f8352]) ).
fof(f8354,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(f8355,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,[],[f8354]) ).
fof(f8356,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(f8357,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,[],[f8356]) ).
fof(f8358,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(f8359,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,[],[f8358]) ).
fof(f8360,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(f8361,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,[],[f8360]) ).
fof(f8362,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(f8363,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,[],[f8362]) ).
fof(f8364,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(f8365,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,[],[f8364]) ).
fof(f8366,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(f8367,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,[],[f8366]) ).
fof(f8368,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(f8369,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,[],[f8368]) ).
fof(f8370,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(f8371,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,[],[f8370]) ).
fof(f8372,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k6_relat_1(X0) = k7_relat_1(k6_relat_1(X1),X0) ),
inference(ennf_transformation,[],[f1904]) ).
fof(f8373,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relat_1(X2,k6_relat_1(X1)) = X2 ),
inference(ennf_transformation,[],[f1388]) ).
fof(f8374,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relat_1(k6_relat_1(X0),X2) = X2 ),
inference(ennf_transformation,[],[f1387]) ).
fof(f8375,plain,
! [X0] :
( v1_xboole_0(X0)
| k6_relat_1(X0) != k1_xboole_0 ),
inference(ennf_transformation,[],[f1304]) ).
fof(f8376,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(f8377,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(f8378,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(f8379,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,[],[f8378]) ).
fof(f8380,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(f8381,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,[],[f8380]) ).
fof(f8382,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(f8383,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,[],[f8382]) ).
fof(f8386,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(f8387,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,[],[f8386]) ).
fof(f8388,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(f8389,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,[],[f8388]) ).
fof(f8390,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(f8391,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,[],[f8390]) ).
fof(f8392,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| k1_funct_1(k6_relat_1(X0),X1) = X1 ),
inference(ennf_transformation,[],[f966]) ).
fof(f8393,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(f8394,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,[],[f8393]) ).
fof(f8395,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(f8396,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(f8397,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(f8398,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,[],[f8397]) ).
fof(f8399,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k5_relat_1(X0,k6_relat_1(k2_relat_1(X0))) = X0 ),
inference(ennf_transformation,[],[f786]) ).
fof(f8400,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(f8401,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,[],[f8400]) ).
fof(f8402,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k5_relat_1(k6_relat_1(k1_relat_1(X0)),X0) = X0 ),
inference(ennf_transformation,[],[f784]) ).
fof(f8403,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(f8404,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,[],[f8403]) ).
fof(f8405,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(f8406,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(f8407,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(f8408,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(f8409,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,[],[f8408]) ).
fof(f8410,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(f8411,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(f8412,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(f8413,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(f8414,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k3_relat_1(X0) = k3_relat_1(k4_relat_1(X0)) ),
inference(ennf_transformation,[],[f741]) ).
fof(f8415,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(f8416,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(f8417,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(f8418,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,[],[f8417]) ).
fof(f8419,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(f8420,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,[],[f8419]) ).
fof(f8421,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(f8422,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,[],[f8421]) ).
fof(f8423,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(f8424,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(f8425,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(f8426,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,[],[f8425]) ).
fof(f8427,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(f8428,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,[],[f8427]) ).
fof(f8429,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(f8430,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,[],[f8429]) ).
fof(f8431,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(f8432,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,[],[f8431]) ).
fof(f8433,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(f8434,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,[],[f8433]) ).
fof(f8435,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(f8436,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,[],[f8435]) ).
fof(f8437,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(f8438,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,[],[f8437]) ).
fof(f8439,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(f8440,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,[],[f8439]) ).
fof(f8441,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(f8442,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,[],[f8441]) ).
fof(f8443,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_xboole_0(X0)
| ? [X2] : m2_filter_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f5797]) ).
fof(f8444,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_xboole_0(X0)
| ? [X2] : m2_filter_1(X2,X0,X1) ),
inference(flattening,[],[f8443]) ).
fof(f8445,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(f8446,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,[],[f8445]) ).
fof(f8447,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(f8448,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,[],[f8447]) ).
fof(f8449,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(f8450,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,[],[f8449]) ).
fof(f8451,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(f8452,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,[],[f8451]) ).
fof(f8453,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(f8454,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,[],[f8453]) ).
fof(f8455,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(f8456,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,[],[f8455]) ).
fof(f8457,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(f8458,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,[],[f8457]) ).
fof(f8459,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(f8460,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,[],[f8459]) ).
fof(f8461,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(f8462,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,[],[f8461]) ).
fof(f8463,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(f8464,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,[],[f8463]) ).
fof(f8465,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(f8466,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,[],[f8465]) ).
fof(f8467,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(f8468,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,[],[f8467]) ).
fof(f8469,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(f8470,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,[],[f8469]) ).
fof(f8471,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| k6_eqrel_1(X0,k6_partfun1(X0),X1) = k1_tarski(X1) ),
inference(ennf_transformation,[],[f3430]) ).
fof(f8472,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(f8473,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,[],[f8472]) ).
fof(f8474,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(f8475,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,[],[f8474]) ).
fof(f8476,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(f8477,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,[],[f8476]) ).
fof(f8478,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(f8479,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,[],[f8478]) ).
fof(f8480,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(f8481,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,[],[f8480]) ).
fof(f8482,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(f8483,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,[],[f8482]) ).
fof(f8484,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(f8485,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,[],[f8484]) ).
fof(f8486,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(f8487,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,[],[f8486]) ).
fof(f8488,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(f8489,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,[],[f8488]) ).
fof(f8490,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( v6_group_1(X0)
<=> v1_finset_1(u1_struct_0(X0)) ) ),
inference(ennf_transformation,[],[f5094]) ).
fof(f8491,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(f8492,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,[],[f8491]) ).
fof(f8493,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(f8494,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,[],[f8493]) ).
fof(f8495,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(f8496,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,[],[f8495]) ).
fof(f8497,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(f8498,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,[],[f8497]) ).
fof(f8499,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(f8500,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,[],[f8499]) ).
fof(f8501,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(f8502,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,[],[f8501]) ).
fof(f8503,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(f8504,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,[],[f8503]) ).
fof(f8505,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(f8506,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,[],[f8505]) ).
fof(f8507,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(f8508,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,[],[f8507]) ).
fof(f8509,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(f8510,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,[],[f8509]) ).
fof(f8511,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(f8512,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,[],[f8511]) ).
fof(f8513,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(f8514,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,[],[f8513]) ).
fof(f8515,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(f8516,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,[],[f8515]) ).
fof(f8517,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(f8518,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,[],[f8517]) ).
fof(f8519,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(f8520,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,[],[f8519]) ).
fof(f8521,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(f8522,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,[],[f8521]) ).
fof(f8523,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(f8524,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,[],[f8523]) ).
fof(f8525,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(f8526,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,[],[f8525]) ).
fof(f8527,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(f8528,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,[],[f8527]) ).
fof(f8529,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(f8530,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,[],[f8529]) ).
fof(f8531,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(f8532,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,[],[f8531]) ).
fof(f8533,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(f8534,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,[],[f8533]) ).
fof(f8535,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(f8536,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,[],[f8535]) ).
fof(f8537,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(f8538,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,[],[f8537]) ).
fof(f8539,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(f8540,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,[],[f8539]) ).
fof(f8541,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(f8542,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,[],[f8541]) ).
fof(f8543,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( v3_realset2(X0)
<=> v1_realset1(u1_struct_0(X0)) ) ),
inference(ennf_transformation,[],[f5312]) ).
fof(f8544,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_realset1(X0)
| k5_realset1(X0,X1) = k1_tarski(X1) ),
inference(ennf_transformation,[],[f4109]) ).
fof(f8545,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_realset1(X0)
| k5_realset1(X0,X1) = k1_tarski(X1) ),
inference(flattening,[],[f8544]) ).
fof(f8546,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,[],[f6451]) ).
fof(f8547,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,[],[f8546]) ).
fof(f8548,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,[],[f6452]) ).
fof(f8549,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(f8550,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,[],[f8549]) ).
fof(f8551,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(f8552,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,[],[f8551]) ).
fof(f8553,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(f8554,plain,
! [X0] :
( v1_realset1(X0)
<=> ( ? [X1] : k1_tarski(X1) = X0
| v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f4076]) ).
fof(f8555,plain,
! [X0] :
( v1_realset1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f4066]) ).
fof(f8556,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ? [X2] : m3_realset1(X2,X0,X1) ),
inference(ennf_transformation,[],[f4100]) ).
fof(f8557,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(f8558,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(f8559,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,[],[f8558]) ).
fof(f8560,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(f8561,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,[],[f8560]) ).
fof(f8562,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(f8563,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,[],[f8562]) ).
fof(f8564,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(f8565,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,[],[f8564]) ).
fof(f8566,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(f8567,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,[],[f8566]) ).
fof(f8568,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(f8569,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,[],[f8568]) ).
fof(f8570,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(f8571,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,[],[f8570]) ).
fof(f8574,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(f8575,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,[],[f8574]) ).
fof(f8576,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(f8577,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(f8578,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,[],[f8577]) ).
fof(f8579,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(f8580,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,[],[f8579]) ).
fof(f8581,plain,
! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f4575]) ).
fof(f8582,plain,
! [X0] :
( ~ v1_membered(X0)
| r1_tarski(X0,k2_numbers) ),
inference(ennf_transformation,[],[f3064]) ).
fof(f8583,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_numbers))
| v1_membered(X0) ),
inference(ennf_transformation,[],[f2997]) ).
fof(f8584,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ! [X1,X2] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X2)
| r2_hidden(X1,X0) ) ),
inference(ennf_transformation,[],[f6004]) ).
fof(f8585,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ! [X1,X2] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X2)
| r2_hidden(X1,X0) ) ),
inference(flattening,[],[f8584]) ).
fof(f8586,plain,
! [X0,X1] :
( ~ v1_classes2(X1)
| v1_xboole_0(X1)
| ~ r2_hidden(X0,X1)
| r2_hidden(k1_tarski(X0),X1) ),
inference(ennf_transformation,[],[f3630]) ).
fof(f8587,plain,
! [X0,X1] :
( ~ v1_classes2(X1)
| v1_xboole_0(X1)
| ~ r2_hidden(X0,X1)
| r2_hidden(k1_tarski(X0),X1) ),
inference(flattening,[],[f8586]) ).
fof(f8588,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| r2_hidden(k1_xboole_0,X0) ),
inference(ennf_transformation,[],[f3629]) ).
fof(f8589,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| r2_hidden(k1_xboole_0,X0) ),
inference(flattening,[],[f8588]) ).
fof(f8590,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ! [X1] :
( ~ v1_classes2(X1)
| v1_xboole_0(X1)
| ( v1_classes2(k3_xboole_0(X0,X1))
& ~ v1_xboole_0(k3_xboole_0(X0,X1))
& v1_classes2(k2_xboole_0(X0,X1))
& ~ v1_xboole_0(k2_xboole_0(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f3628]) ).
fof(f8591,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ! [X1] :
( ~ v1_classes2(X1)
| v1_xboole_0(X1)
| ( v1_classes2(k3_xboole_0(X0,X1))
& ~ v1_xboole_0(k3_xboole_0(X0,X1))
& v1_classes2(k2_xboole_0(X0,X1))
& ~ v1_xboole_0(k2_xboole_0(X0,X1)) ) ) ),
inference(flattening,[],[f8590]) ).
fof(f8592,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ! [X1] :
( ~ v1_classes2(X1)
| v1_xboole_0(X1)
| ! [X2] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,X2) ) ) ),
inference(ennf_transformation,[],[f3626]) ).
fof(f8593,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ! [X1] :
( ~ v1_classes2(X1)
| v1_xboole_0(X1)
| ! [X2] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,X2) ) ) ),
inference(flattening,[],[f8592]) ).
fof(f8594,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ! [X1] :
( ~ v1_classes2(X1)
| v1_xboole_0(X1)
| r2_hidden(X1,X0)
| r1_tarski(X0,X1) ) ),
inference(ennf_transformation,[],[f3624]) ).
fof(f8595,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ! [X1] :
( ~ v1_classes2(X1)
| v1_xboole_0(X1)
| r2_hidden(X1,X0)
| r1_tarski(X0,X1) ) ),
inference(flattening,[],[f8594]) ).
fof(f8596,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ! [X1] :
( ~ v1_classes2(X1)
| v1_xboole_0(X1)
| r2_hidden(X1,X0)
| X0 = X1
| r2_hidden(X0,X1) ) ),
inference(ennf_transformation,[],[f3623]) ).
fof(f8597,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ! [X1] :
( ~ v1_classes2(X1)
| v1_xboole_0(X1)
| r2_hidden(X1,X0)
| X0 = X1
| r2_hidden(X0,X1) ) ),
inference(flattening,[],[f8596]) ).
fof(f8598,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,X0) ) ),
inference(ennf_transformation,[],[f3562]) ).
fof(f8599,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,X0) ) ),
inference(flattening,[],[f8598]) ).
fof(f8600,plain,
! [X0] :
( ~ m1_subset_1(X0,k4_numbers)
| v1_int_1(X0) ),
inference(ennf_transformation,[],[f2727]) ).
fof(f8601,plain,
! [X0,X1,X2] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| ( r2_hidden(k5_xboole_0(X0,X1),X2)
& r2_hidden(k4_xboole_0(X0,X1),X2)
& r2_hidden(k3_xboole_0(X0,X1),X2)
& r2_hidden(k2_xboole_0(X0,X1),X2) ) ),
inference(ennf_transformation,[],[f3633]) ).
fof(f8602,plain,
! [X0,X1,X2] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| ( r2_hidden(k5_xboole_0(X0,X1),X2)
& r2_hidden(k4_xboole_0(X0,X1),X2)
& r2_hidden(k3_xboole_0(X0,X1),X2)
& r2_hidden(k2_xboole_0(X0,X1),X2) ) ),
inference(flattening,[],[f8601]) ).
fof(f8603,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(f8604,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,[],[f8603]) ).
fof(f8605,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ v1_membered(X0)
| v1_membered(k5_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f3054]) ).
fof(f8606,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ v1_membered(X0)
| v1_membered(k5_xboole_0(X0,X1)) ),
inference(flattening,[],[f8605]) ).
fof(f8607,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(f8608,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,[],[f8607]) ).
fof(f8609,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(f8610,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,[],[f8609]) ).
fof(f8611,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(f8612,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,[],[f8611]) ).
fof(f8613,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(f8614,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,[],[f8613]) ).
fof(f8617,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k5_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f2335]) ).
fof(f8618,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k5_xboole_0(X0,X1)) ),
inference(flattening,[],[f8617]) ).
fof(f8619,plain,
! [X0,X1] :
( X0 = X1
| k5_xboole_0(k1_tarski(X0),k1_tarski(X1)) = k2_tarski(X0,X1) ),
inference(ennf_transformation,[],[f354]) ).
fof(f8620,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(f8621,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k5_xboole_0(X0,X2),X1) ),
inference(flattening,[],[f8620]) ).
fof(f8622,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(f8623,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,[],[f8622]) ).
fof(f8624,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(f8625,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(f8626,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ v1_ordinal1(X1)
| ~ v2_classes1(X0)
| r2_hidden(X1,k4_classes1(k1_card_1(X0))) ),
inference(ennf_transformation,[],[f3609]) ).
fof(f8627,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ v1_ordinal1(X1)
| ~ v2_classes1(X0)
| r2_hidden(X1,k4_classes1(k1_card_1(X0))) ),
inference(flattening,[],[f8626]) ).
fof(f8628,plain,
! [X0] :
( ~ v2_classes1(X0)
| v2_classes1(k4_classes1(k1_card_1(X0))) ),
inference(ennf_transformation,[],[f3605]) ).
fof(f8629,plain,
! [X0,X1] :
( r2_hidden(X1,k4_classes1(k1_card_1(X0)))
| r2_wellord2(X1,k4_classes1(k1_card_1(X0)))
| ~ r1_tarski(X1,k4_classes1(k1_card_1(X0)))
| ~ v2_classes1(X0) ),
inference(ennf_transformation,[],[f3603]) ).
fof(f8630,plain,
! [X0] :
( ~ v2_classes1(X0)
| k1_card_1(X0) = k1_card_1(k4_classes1(k1_card_1(X0))) ),
inference(ennf_transformation,[],[f3601]) ).
fof(f8631,plain,
! [X0] :
( ~ v1_ordinal1(X0)
| ~ v2_classes1(X0)
| k4_classes1(k1_card_1(X0)) = X0 ),
inference(ennf_transformation,[],[f3598]) ).
fof(f8632,plain,
! [X0] :
( ~ v1_ordinal1(X0)
| ~ v2_classes1(X0)
| k4_classes1(k1_card_1(X0)) = X0 ),
inference(flattening,[],[f8631]) ).
fof(f8633,plain,
! [X0] :
( ~ v1_ordinal1(X0)
| ~ v2_classes1(X0)
| r1_tarski(X0,k4_classes1(k1_card_1(X0))) ),
inference(ennf_transformation,[],[f3597]) ).
fof(f8634,plain,
! [X0] :
( ~ v1_ordinal1(X0)
| ~ v2_classes1(X0)
| r1_tarski(X0,k4_classes1(k1_card_1(X0))) ),
inference(flattening,[],[f8633]) ).
fof(f8635,plain,
! [X0] :
( ~ v2_classes1(X0)
| r1_tarski(k4_classes1(k1_card_1(X0)),X0) ),
inference(ennf_transformation,[],[f3594]) ).
fof(f8636,plain,
! [X0,X1] :
( ~ v2_classes1(X0)
| r1_tarski(k1_funct_2(X1,X0),X0)
| ( ( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_card_1(X1),k1_card_1(X0)) )
& ( ~ r1_tarski(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( ~ v1_ordinal1(X0)
| ~ r2_hidden(X1,X0) ) ) ),
inference(ennf_transformation,[],[f3589]) ).
fof(f8637,plain,
! [X0,X1] :
( ~ v2_classes1(X0)
| r1_tarski(k1_funct_2(X1,X0),X0)
| ( ( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_card_1(X1),k1_card_1(X0)) )
& ( ~ r1_tarski(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( ~ v1_ordinal1(X0)
| ~ r2_hidden(X1,X0) ) ) ),
inference(flattening,[],[f8636]) ).
fof(f8640,plain,
! [X0] :
( ~ v2_classes1(X0)
| v4_ordinal1(k1_card_1(X0)) ),
inference(ennf_transformation,[],[f3586]) ).
fof(f8641,plain,
! [X0] :
( ~ v1_card_1(X0)
| ! [X1] :
( ~ r2_hidden(X0,X1)
| ~ v2_classes1(X1)
| r1_tarski(X0,X1) ) ),
inference(ennf_transformation,[],[f3584]) ).
fof(f8642,plain,
! [X0] :
( ~ v1_card_1(X0)
| ! [X1] :
( ~ r2_hidden(X0,X1)
| ~ v2_classes1(X1)
| r1_tarski(X0,X1) ) ),
inference(flattening,[],[f8641]) ).
fof(f8645,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k1_card_1(X0))
| ~ v2_classes1(X0)
| r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f3580]) ).
fof(f8646,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k1_card_1(X0))
| ~ v2_classes1(X0)
| r2_hidden(X1,X0) ),
inference(flattening,[],[f8645]) ).
fof(f8647,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ v2_classes1(X0)
| r2_hidden(k1_card_1(X1),X0) ),
inference(ennf_transformation,[],[f3578]) ).
fof(f8648,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ v2_classes1(X0)
| r2_hidden(k1_card_1(X1),X0) ),
inference(flattening,[],[f8647]) ).
fof(f8649,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ v2_classes1(X0)
| r1_tarski(k1_classes1(X1),X0) ),
inference(ennf_transformation,[],[f3571]) ).
fof(f8650,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ v2_classes1(X0)
| r1_tarski(k1_classes1(X1),X0) ),
inference(flattening,[],[f8649]) ).
fof(f8651,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X0)
| ~ v2_classes1(X0)
| r2_hidden(k4_tarski(X1,X2),X0) ),
inference(ennf_transformation,[],[f3570]) ).
fof(f8652,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X0)
| ~ v2_classes1(X0)
| r2_hidden(k4_tarski(X1,X2),X0) ),
inference(flattening,[],[f8651]) ).
fof(f8653,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X0)
| ~ v2_classes1(X0)
| ( r2_hidden(k2_tarski(X1,X2),X0)
& r2_hidden(k1_tarski(X1),X0) ) ),
inference(ennf_transformation,[],[f3569]) ).
fof(f8654,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X0)
| ~ v2_classes1(X0)
| ( r2_hidden(k2_tarski(X1,X2),X0)
& r2_hidden(k1_tarski(X1),X0) ) ),
inference(flattening,[],[f8653]) ).
fof(f8655,plain,
! [X0] :
( ~ v2_classes1(X0)
| ~ v1_ordinal1(X0)
| v1_classes2(X0) ),
inference(ennf_transformation,[],[f3557]) ).
fof(f8656,plain,
! [X0] :
( ~ v2_classes1(X0)
| ~ v1_ordinal1(X0)
| v1_classes2(X0) ),
inference(flattening,[],[f8655]) ).
fof(f8657,plain,
! [X0] :
( ~ v1_card_1(X0)
| v1_finset_1(X0)
| v4_ordinal1(X0) ),
inference(ennf_transformation,[],[f4142]) ).
fof(f8658,plain,
! [X0] :
( ~ v1_card_1(X0)
| v1_finset_1(X0)
| v4_ordinal1(X0) ),
inference(flattening,[],[f8657]) ).
fof(f8659,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ? [X1] :
( v4_ordinal1(X1)
& r2_hidden(X0,X1)
& v3_ordinal1(X1) ) ),
inference(ennf_transformation,[],[f2214]) ).
fof(f8660,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(f8661,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,[],[f8660]) ).
fof(f8662,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f5111]) ).
fof(f8663,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0)) ),
inference(flattening,[],[f8662]) ).
fof(f8664,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))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_group_1(X1,X2,X3) != k1_group_1(X1,X3,X2)
| k1_group_1(X1,X2,k6_group_1(X1,X0,X3)) = k1_group_1(X1,k6_group_1(X1,X0,X3),X2) ) ) ) ),
inference(ennf_transformation,[],[f5081]) ).
fof(f8665,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))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_group_1(X1,X2,X3) != k1_group_1(X1,X3,X2)
| k1_group_1(X1,X2,k6_group_1(X1,X0,X3)) = k1_group_1(X1,k6_group_1(X1,X0,X3),X2) ) ) ) ),
inference(flattening,[],[f8664]) ).
fof(f8666,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))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X2))
| k1_group_1(X2,X3,X4) != k1_group_1(X2,X4,X3)
| k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X4)) = k1_group_1(X2,k6_group_1(X2,X1,X4),k6_group_1(X2,X0,X3)) ) ) ) ) ),
inference(ennf_transformation,[],[f5079]) ).
fof(f8667,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))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X2))
| k1_group_1(X2,X3,X4) != k1_group_1(X2,X4,X3)
| k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X4)) = k1_group_1(X2,k6_group_1(X2,X1,X4),k6_group_1(X2,X0,X3)) ) ) ) ) ),
inference(flattening,[],[f8666]) ).
fof(f8668,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))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X2))
| k1_group_1(X2,X3,X4) != k1_group_1(X2,X4,X3)
| k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X4)) = k1_group_1(X2,k6_group_1(X2,X1,X4),k6_group_1(X2,X0,X3)) ) ) ) ) ),
inference(ennf_transformation,[],[f5078]) ).
fof(f8669,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))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X2))
| k1_group_1(X2,X3,X4) != k1_group_1(X2,X4,X3)
| k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X4)) = k1_group_1(X2,k6_group_1(X2,X1,X4),k6_group_1(X2,X0,X3)) ) ) ) ) ),
inference(flattening,[],[f8668]) ).
fof(f8670,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))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_group_1(X1,X2,X3) != k1_group_1(X1,X3,X2)
| k6_group_1(X1,X0,k1_group_1(X1,X2,X3)) = k1_group_1(X1,k6_group_1(X1,X0,X2),k6_group_1(X1,X0,X3)) ) ) ) ),
inference(ennf_transformation,[],[f5077]) ).
fof(f8671,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))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_group_1(X1,X2,X3) != k1_group_1(X1,X3,X2)
| k6_group_1(X1,X0,k1_group_1(X1,X2,X3)) = k1_group_1(X1,k6_group_1(X1,X0,X2),k6_group_1(X1,X0,X3)) ) ) ) ),
inference(flattening,[],[f8670]) ).
fof(f8672,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))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_group_1(X1,X2,X3) != k1_group_1(X1,X3,X2)
| k6_group_1(X1,X0,k1_group_1(X1,X2,X3)) = k1_group_1(X1,k6_group_1(X1,X0,X2),k6_group_1(X1,X0,X3)) ) ) ) ),
inference(ennf_transformation,[],[f5058]) ).
fof(f8673,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))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_group_1(X1,X2,X3) != k1_group_1(X1,X3,X2)
| k6_group_1(X1,X0,k1_group_1(X1,X2,X3)) = k1_group_1(X1,k6_group_1(X1,X0,X2),k6_group_1(X1,X0,X3)) ) ) ) ),
inference(flattening,[],[f8672]) ).
fof(f8674,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))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X2))
| k1_group_1(X2,X3,X4) != k1_group_1(X2,X4,X3)
| k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X4)) = k1_group_1(X2,k6_group_1(X2,X1,X4),k6_group_1(X2,X0,X3)) ) ) ) ) ),
inference(ennf_transformation,[],[f5057]) ).
fof(f8675,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))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X2))
| k1_group_1(X2,X3,X4) != k1_group_1(X2,X4,X3)
| k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X4)) = k1_group_1(X2,k6_group_1(X2,X1,X4),k6_group_1(X2,X0,X3)) ) ) ) ) ),
inference(flattening,[],[f8674]) ).
fof(f8676,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))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_group_1(X1,X2,X3) != k1_group_1(X1,X3,X2)
| k1_group_1(X1,X2,k6_group_1(X1,X0,X3)) = k1_group_1(X1,k6_group_1(X1,X0,X3),X2) ) ) ) ),
inference(ennf_transformation,[],[f5056]) ).
fof(f8677,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))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_group_1(X1,X2,X3) != k1_group_1(X1,X3,X2)
| k1_group_1(X1,X2,k6_group_1(X1,X0,X3)) = k1_group_1(X1,k6_group_1(X1,X0,X3),X2) ) ) ) ),
inference(flattening,[],[f8676]) ).
fof(f8678,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))
| ? [X3] :
( k1_group_1(X0,X3,X1) = X2
& m1_subset_1(X3,u1_struct_0(X0)) ) ) ) ),
inference(ennf_transformation,[],[f5024]) ).
fof(f8679,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))
| ? [X3] :
( k1_group_1(X0,X3,X1) = X2
& m1_subset_1(X3,u1_struct_0(X0)) ) ) ) ),
inference(flattening,[],[f8678]) ).
fof(f8680,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))
| ? [X3] :
( k1_group_1(X0,X1,X3) = X2
& m1_subset_1(X3,u1_struct_0(X0)) ) ) ) ),
inference(ennf_transformation,[],[f5023]) ).
fof(f8681,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))
| ? [X3] :
( k1_group_1(X0,X1,X3) = X2
& m1_subset_1(X3,u1_struct_0(X0)) ) ) ) ),
inference(flattening,[],[f8680]) ).
fof(f8682,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(f8683,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,[],[f8682]) ).
fof(f8684,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))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( k1_group_1(X0,X2,X1) != k1_group_1(X0,X3,X1)
& k1_group_1(X0,X1,X2) != k1_group_1(X0,X1,X3) )
| X2 = X3 ) ) ) ),
inference(ennf_transformation,[],[f5014]) ).
fof(f8685,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))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( k1_group_1(X0,X2,X1) != k1_group_1(X0,X3,X1)
& k1_group_1(X0,X1,X2) != k1_group_1(X0,X1,X3) )
| X2 = X3 ) ) ) ),
inference(flattening,[],[f8684]) ).
fof(f8686,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(f8687,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,[],[f8686]) ).
fof(f8688,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ? [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
& ( ! [X7] :
( k1_group_1(X0,X7,X4) != X5
| ~ m1_subset_1(X7,u1_struct_0(X0)) )
| ! [X6] :
( k1_group_1(X0,X4,X6) != X5
| ~ m1_subset_1(X6,u1_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))
& k1_group_1(X0,k1_group_1(X0,X1,X2),X3) != k1_group_1(X0,X1,k1_group_1(X0,X2,X3)) ) ) )
| ( v3_group_1(X0)
& v4_group_1(X0) ) ),
inference(ennf_transformation,[],[f6453]) ).
fof(f8689,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ? [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
& ( ! [X7] :
( k1_group_1(X0,X7,X4) != X5
| ~ m1_subset_1(X7,u1_struct_0(X0)) )
| ! [X6] :
( k1_group_1(X0,X4,X6) != X5
| ~ m1_subset_1(X6,u1_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))
& k1_group_1(X0,k1_group_1(X0,X1,X2),X3) != k1_group_1(X0,X1,k1_group_1(X0,X2,X3)) ) ) )
| ( v3_group_1(X0)
& v4_group_1(X0) ) ),
inference(flattening,[],[f8688]) ).
fof(f8690,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))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,k1_group_1(X0,X1,X2),X3) != k1_group_1(X0,X1,k1_group_1(X0,X2,X3)) ) ) )
| ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ? [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
& ( ! [X6] :
( k1_group_1(X0,X6,X5) != X4
| k1_group_1(X0,X5,X6) != X4
| ~ m1_subset_1(X6,u1_struct_0(X0)) )
| k1_group_1(X0,X4,X5) != X5
| k1_group_1(X0,X5,X4) != X5 ) ) ) ),
inference(ennf_transformation,[],[f6454]) ).
fof(f8691,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))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,k1_group_1(X0,X1,X2),X3) != k1_group_1(X0,X1,k1_group_1(X0,X2,X3)) ) ) )
| ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ? [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
& ( ! [X6] :
( k1_group_1(X0,X6,X5) != X4
| k1_group_1(X0,X5,X6) != X4
| ~ m1_subset_1(X6,u1_struct_0(X0)) )
| k1_group_1(X0,X4,X5) != X5
| k1_group_1(X0,X5,X4) != X5 ) ) ) ),
inference(flattening,[],[f8690]) ).
fof(f8692,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( v4_group_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_group_1(X0,k1_group_1(X0,X1,X2),X3) = k1_group_1(X0,X1,k1_group_1(X0,X2,X3)) ) ) ) ) ),
inference(ennf_transformation,[],[f4998]) ).
fof(f8693,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( v4_group_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_group_1(X0,k1_group_1(X0,X1,X2),X3) = k1_group_1(X0,X1,k1_group_1(X0,X2,X3)) ) ) ) ) ),
inference(flattening,[],[f8692]) ).
fof(f8694,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( v3_group_1(X0)
<=> ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ? [X3] :
( k1_group_1(X0,X3,X2) = X1
& k1_group_1(X0,X2,X3) = X1
& m1_subset_1(X3,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,[],[f4997]) ).
fof(f8695,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( v3_group_1(X0)
<=> ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ? [X3] :
( k1_group_1(X0,X3,X2) = X1
& k1_group_1(X0,X2,X3) = X1
& m1_subset_1(X3,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,[],[f8694]) ).
fof(f8696,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(f8697,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,[],[f8696]) ).
fof(f8698,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(f8699,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,[],[f8698]) ).
fof(f8700,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_int_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_group_1(X0,X1,X2),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f5116]) ).
fof(f8701,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_int_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_group_1(X0,X1,X2),u1_struct_0(X0)) ),
inference(flattening,[],[f8700]) ).
fof(f8702,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(f8703,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,[],[f8702]) ).
fof(f8706,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__1,X1) = X1 ) ),
inference(ennf_transformation,[],[f5048]) ).
fof(f8707,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__1,X1) = X1 ) ),
inference(flattening,[],[f8706]) ).
fof(f8708,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(f8709,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,[],[f8708]) ).
fof(f8710,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(f8711,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,[],[f8710]) ).
fof(f8712,plain,
! [X0] :
( ~ v1_int_1(X0)
| ! [X1] :
( ~ v1_int_1(X1)
| r1_xreal_0(X1,X0)
| r1_xreal_0(X0,k6_xcmplx_0(X1,np__1)) ) ),
inference(ennf_transformation,[],[f2828]) ).
fof(f8713,plain,
! [X0] :
( ~ v1_int_1(X0)
| ! [X1] :
( ~ v1_int_1(X1)
| r1_xreal_0(X1,X0)
| r1_xreal_0(X0,k6_xcmplx_0(X1,np__1)) ) ),
inference(flattening,[],[f8712]) ).
fof(f8714,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v1_int_1(X1)
| ? [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
& r1_xreal_0(np__1,X2)
& X2 = k6_xcmplx_0(X1,X0) )
| r1_xreal_0(X1,X0) ) ),
inference(ennf_transformation,[],[f2827]) ).
fof(f8715,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v1_int_1(X1)
| ? [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
& r1_xreal_0(np__1,X2)
& X2 = k6_xcmplx_0(X1,X0) )
| r1_xreal_0(X1,X0) ) ),
inference(flattening,[],[f8714]) ).
fof(f8716,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ! [X1] :
( ~ v1_int_1(X1)
| ! [X2] :
( ~ v1_int_1(X2)
| ~ r1_xreal_0(X2,X0)
| ~ r1_xreal_0(X1,X0)
| X1 = X2
| r1_xreal_0(X2,k6_xcmplx_0(X0,np__1))
| r1_xreal_0(X1,k6_xcmplx_0(X0,np__1)) ) ) ),
inference(ennf_transformation,[],[f2787]) ).
fof(f8717,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ! [X1] :
( ~ v1_int_1(X1)
| ! [X2] :
( ~ v1_int_1(X2)
| ~ r1_xreal_0(X2,X0)
| ~ r1_xreal_0(X1,X0)
| X1 = X2
| r1_xreal_0(X2,k6_xcmplx_0(X0,np__1))
| r1_xreal_0(X1,k6_xcmplx_0(X0,np__1)) ) ) ),
inference(flattening,[],[f8716]) ).
fof(f8718,plain,
! [X0] :
( ~ v1_int_1(X0)
| ! [X1] :
( ~ v1_int_1(X1)
| ~ r1_xreal_0(X0,X1)
| r2_hidden(k6_xcmplx_0(X1,X0),k5_numbers) ) ),
inference(ennf_transformation,[],[f2760]) ).
fof(f8719,plain,
! [X0] :
( ~ v1_int_1(X0)
| ! [X1] :
( ~ v1_int_1(X1)
| ~ r1_xreal_0(X0,X1)
| r2_hidden(k6_xcmplx_0(X1,X0),k5_numbers) ) ),
inference(flattening,[],[f8718]) ).
fof(f8720,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_numbers)
| ~ m1_subset_1(X0,k5_numbers)
| ( v1_int_1(k6_xcmplx_0(X0,X1))
& v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f2739]) ).
fof(f8721,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_numbers)
| ~ m1_subset_1(X0,k5_numbers)
| ( v1_int_1(k6_xcmplx_0(X0,X1))
& v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1)) ) ),
inference(flattening,[],[f8720]) ).
fof(f8722,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| ( v1_int_1(k6_xcmplx_0(X1,X0))
& v1_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xcmplx_0(k6_xcmplx_0(X1,X0)) ) ),
inference(ennf_transformation,[],[f2738]) ).
fof(f8723,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| ( v1_int_1(k6_xcmplx_0(X1,X0))
& v1_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xcmplx_0(k6_xcmplx_0(X1,X0)) ) ),
inference(flattening,[],[f8722]) ).
fof(f8724,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| ( v1_int_1(k6_xcmplx_0(X0,X1))
& v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f2734]) ).
fof(f8725,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| ( v1_int_1(k6_xcmplx_0(X0,X1))
& v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1)) ) ),
inference(flattening,[],[f8724]) ).
fof(f8726,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v3_xreal_0(k6_xcmplx_0(X1,X0))
& v2_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xcmplx_0(k6_xcmplx_0(X1,X0))
& ~ v1_xboole_0(k6_xcmplx_0(X1,X0)) ) ),
inference(ennf_transformation,[],[f2708]) ).
fof(f8727,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v3_xreal_0(k6_xcmplx_0(X1,X0))
& v2_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xcmplx_0(k6_xcmplx_0(X1,X0))
& ~ v1_xboole_0(k6_xcmplx_0(X1,X0)) ) ),
inference(flattening,[],[f8726]) ).
fof(f8728,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( v3_xreal_0(k6_xcmplx_0(X0,X1))
& ~ v2_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1))
& ~ v1_xboole_0(k6_xcmplx_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f2707]) ).
fof(f8729,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( v3_xreal_0(k6_xcmplx_0(X0,X1))
& ~ v2_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1))
& ~ v1_xboole_0(k6_xcmplx_0(X0,X1)) ) ),
inference(flattening,[],[f8728]) ).
fof(f8730,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( v3_xreal_0(k6_xcmplx_0(X1,X0))
& ~ v2_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xcmplx_0(k6_xcmplx_0(X1,X0))
& ~ v1_xboole_0(k6_xcmplx_0(X1,X0)) ) ),
inference(ennf_transformation,[],[f2706]) ).
fof(f8731,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( v3_xreal_0(k6_xcmplx_0(X1,X0))
& ~ v2_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xcmplx_0(k6_xcmplx_0(X1,X0))
& ~ v1_xboole_0(k6_xcmplx_0(X1,X0)) ) ),
inference(flattening,[],[f8730]) ).
fof(f8732,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v3_xreal_0(k6_xcmplx_0(X0,X1))
& v2_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1))
& ~ v1_xboole_0(k6_xcmplx_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f2705]) ).
fof(f8733,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v3_xreal_0(k6_xcmplx_0(X0,X1))
& v2_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1))
& ~ v1_xboole_0(k6_xcmplx_0(X0,X1)) ) ),
inference(flattening,[],[f8732]) ).
fof(f8734,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v2_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xcmplx_0(k6_xcmplx_0(X1,X0)) ) ),
inference(ennf_transformation,[],[f2704]) ).
fof(f8735,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v2_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xreal_0(k6_xcmplx_0(X1,X0))
& v1_xcmplx_0(k6_xcmplx_0(X1,X0)) ) ),
inference(flattening,[],[f8734]) ).
fof(f8736,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v3_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f2703]) ).
fof(f8737,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v3_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1)) ) ),
inference(flattening,[],[f8736]) ).
fof(f8738,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ( v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f2684]) ).
fof(f8739,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ( v1_xreal_0(k6_xcmplx_0(X0,X1))
& v1_xcmplx_0(k6_xcmplx_0(X0,X1)) ) ),
inference(flattening,[],[f8738]) ).
fof(f8740,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ( v2_xreal_0(X0)
<=> ~ r1_xreal_0(X0,np__0) ) ),
inference(ennf_transformation,[],[f2721]) ).
fof(f8741,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v3_xreal_0(k3_xcmplx_0(X0,X1))
& v1_xreal_0(k3_xcmplx_0(X0,X1))
& v1_xcmplx_0(k3_xcmplx_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f2711]) ).
fof(f8742,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v3_xreal_0(k3_xcmplx_0(X0,X1))
& v1_xreal_0(k3_xcmplx_0(X0,X1))
& v1_xcmplx_0(k3_xcmplx_0(X0,X1)) ) ),
inference(flattening,[],[f8741]) ).
fof(f8743,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v2_xreal_0(k3_xcmplx_0(X1,X0))
& v1_xreal_0(k3_xcmplx_0(X1,X0))
& v1_xcmplx_0(k3_xcmplx_0(X1,X0)) ) ),
inference(ennf_transformation,[],[f2710]) ).
fof(f8744,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v2_xreal_0(k3_xcmplx_0(X1,X0))
& v1_xreal_0(k3_xcmplx_0(X1,X0))
& v1_xcmplx_0(k3_xcmplx_0(X1,X0)) ) ),
inference(flattening,[],[f8743]) ).
fof(f8745,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v2_xreal_0(k3_xcmplx_0(X0,X1))
& v1_xreal_0(k3_xcmplx_0(X0,X1))
& v1_xcmplx_0(k3_xcmplx_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f2709]) ).
fof(f8746,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v2_xreal_0(k3_xcmplx_0(X0,X1))
& v1_xreal_0(k3_xcmplx_0(X0,X1))
& v1_xcmplx_0(k3_xcmplx_0(X0,X1)) ) ),
inference(flattening,[],[f8745]) ).
fof(f8753,plain,
! [X0] :
( ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v2_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0)
& ~ v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f2688]) ).
fof(f8754,plain,
! [X0] :
( ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v2_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0)
& ~ v1_xboole_0(X0) ) ),
inference(flattening,[],[f8753]) ).
fof(f8755,plain,
! [X0] :
( v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v1_xboole_0(X0)
| ( v2_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0) ) ),
inference(ennf_transformation,[],[f2687]) ).
fof(f8756,plain,
! [X0] :
( v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v1_xboole_0(X0)
| ( v2_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0) ) ),
inference(flattening,[],[f8755]) ).
fof(f8757,plain,
! [X0] :
( ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v3_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0)
& ~ v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f2686]) ).
fof(f8758,plain,
! [X0] :
( ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ( ~ v3_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0)
& ~ v1_xboole_0(X0) ) ),
inference(flattening,[],[f8757]) ).
fof(f8759,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| ( v1_card_1(X0)
& ~ v3_xreal_0(X0)
& v1_xreal_0(X0)
& v1_finset_1(X0)
& v1_xcmplx_0(X0)
& v4_ordinal2(X0)
& v3_ordinal1(X0)
& v1_ordinal1(X0) ) ),
inference(ennf_transformation,[],[f6502]) ).
fof(f8760,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| ( v1_card_1(X0)
& ~ v3_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0)
& v4_ordinal2(X0)
& v3_ordinal1(X0)
& v1_ordinal1(X0) ) ),
inference(ennf_transformation,[],[f6501]) ).
fof(f8761,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| ( v1_int_1(X0)
& ~ v3_xreal_0(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0)
& v4_ordinal2(X0)
& v3_ordinal1(X0)
& v1_ordinal1(X0) ) ),
inference(ennf_transformation,[],[f6500]) ).
fof(f8762,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ( v3_xreal_0(X0)
<=> ~ r1_xreal_0(np__0,X0) ) ),
inference(ennf_transformation,[],[f2722]) ).
fof(f8763,plain,
! [X0] :
( ~ l1_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))
| ~ v2_funct_1(X2)
| ~ v2_funct_1(X1)
| k2_relat_1(X1) != k2_relat_1(X2)
| k9_rlvect_1(X0,X1) = k9_rlvect_1(X0,X2) ) ) ),
inference(ennf_transformation,[],[f4923]) ).
fof(f8764,plain,
! [X0] :
( ~ l1_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))
| ~ v2_funct_1(X2)
| ~ v2_funct_1(X1)
| k2_relat_1(X1) != k2_relat_1(X2)
| k9_rlvect_1(X0,X1) = k9_rlvect_1(X0,X2) ) ) ),
inference(flattening,[],[f8763]) ).
fof(f8765,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))
| k1_rlvect_1(X0) != k5_rlvect_1(X0,X1)
| X1 = k1_rlvect_1(X0) ) ),
inference(ennf_transformation,[],[f5266]) ).
fof(f8766,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))
| k1_rlvect_1(X0) != k5_rlvect_1(X0,X1)
| X1 = k1_rlvect_1(X0) ) ),
inference(flattening,[],[f8765]) ).
fof(f8769,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(f8770,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,[],[f8769]) ).
fof(f8771,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| k5_rlvect_1(X0,k1_rlvect_1(X0)) = k1_rlvect_1(X0) ),
inference(ennf_transformation,[],[f4888]) ).
fof(f8772,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| k5_rlvect_1(X0,k1_rlvect_1(X0)) = k1_rlvect_1(X0) ),
inference(flattening,[],[f8771]) ).
fof(f8773,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(f8774,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,[],[f8773]) ).
fof(f8775,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(f8776,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,[],[f8775]) ).
fof(f8777,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(f8778,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,[],[f8777]) ).
fof(f8779,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(f8780,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,[],[f8779]) ).
fof(f8781,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(f8782,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,[],[f8781]) ).
fof(f8783,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(f8784,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,[],[f8783]) ).
fof(f8785,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(f8786,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,[],[f8785]) ).
fof(f8787,plain,
! [X0,X1] :
( ~ v1_classes2(X1)
| v1_xboole_0(X1)
| ~ r2_hidden(X0,X1)
| ( r2_hidden(k1_setfam_1(X0),X1)
& r2_hidden(k3_tarski(X0),X1)
& r2_hidden(k1_zfmisc_1(X0),X1) ) ),
inference(ennf_transformation,[],[f3632]) ).
fof(f8788,plain,
! [X0,X1] :
( ~ v1_classes2(X1)
| v1_xboole_0(X1)
| ~ r2_hidden(X0,X1)
| ( r2_hidden(k1_setfam_1(X0),X1)
& r2_hidden(k3_tarski(X0),X1)
& r2_hidden(k1_zfmisc_1(X0),X1) ) ),
inference(flattening,[],[f8787]) ).
fof(f8789,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ r2_hidden(X1,X0)
| v4_membered(k1_setfam_1(X0)) ),
inference(ennf_transformation,[],[f3107]) ).
fof(f8790,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ r2_hidden(X1,X0)
| v4_membered(k1_setfam_1(X0)) ),
inference(flattening,[],[f8789]) ).
fof(f8791,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ r2_hidden(X1,X0)
| v3_membered(k1_setfam_1(X0)) ),
inference(ennf_transformation,[],[f3106]) ).
fof(f8792,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ r2_hidden(X1,X0)
| v3_membered(k1_setfam_1(X0)) ),
inference(flattening,[],[f8791]) ).
fof(f8793,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ r2_hidden(X1,X0)
| v2_membered(k1_setfam_1(X0)) ),
inference(ennf_transformation,[],[f3105]) ).
fof(f8794,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ r2_hidden(X1,X0)
| v2_membered(k1_setfam_1(X0)) ),
inference(flattening,[],[f8793]) ).
fof(f8795,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ r2_hidden(X1,X0)
| v1_membered(k1_setfam_1(X0)) ),
inference(ennf_transformation,[],[f3104]) ).
fof(f8796,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ r2_hidden(X1,X0)
| v1_membered(k1_setfam_1(X0)) ),
inference(flattening,[],[f8795]) ).
fof(f8797,plain,
! [X0] :
( ? [X1] :
( r2_hidden(X1,X0)
& ~ v3_ordinal1(X1) )
| v3_ordinal1(k1_setfam_1(X0)) ),
inference(ennf_transformation,[],[f2215]) ).
fof(f8798,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(f8799,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(f8800,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X2)
| ~ r2_hidden(X0,X1)
| r1_xboole_0(k1_setfam_1(X1),X2) ),
inference(flattening,[],[f8799]) ).
fof(f8801,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X2)
| ~ r2_hidden(X0,X1)
| r1_tarski(k1_setfam_1(X1),X2) ),
inference(ennf_transformation,[],[f598]) ).
fof(f8802,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X2)
| ~ r2_hidden(X0,X1)
| r1_tarski(k1_setfam_1(X1),X2) ),
inference(flattening,[],[f8801]) ).
fof(f8803,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(f8804,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_setfam_1(X1),k1_setfam_1(X0))
| X0 = k1_xboole_0 ),
inference(flattening,[],[f8803]) ).
fof(f8805,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(f8806,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,[],[f8805]) ).
fof(f8807,plain,
! [X0] :
( ~ r2_hidden(k1_xboole_0,X0)
| k1_setfam_1(X0) = k1_xboole_0 ),
inference(ennf_transformation,[],[f595]) ).
fof(f8808,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| r1_tarski(k1_setfam_1(X1),X0) ),
inference(ennf_transformation,[],[f594]) ).
fof(f8809,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(f8810,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(f8811,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,[],[f8810]) ).
fof(f8812,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(f8813,plain,
! [X0,X1,X2] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| ( r2_hidden(k1_funct_2(X0,X1),X2)
& r2_hidden(k2_zfmisc_1(X0,X1),X2) ) ),
inference(ennf_transformation,[],[f3634]) ).
fof(f8814,plain,
! [X0,X1,X2] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| ( r2_hidden(k1_funct_2(X0,X1),X2)
& r2_hidden(k2_zfmisc_1(X0,X1),X2) ) ),
inference(flattening,[],[f8813]) ).
fof(f8815,plain,
! [X0,X1] :
( ( ( ~ r1_tarski(X0,k1_classes1(X1))
| ~ r2_hidden(k1_card_1(X0),k1_card_1(k1_classes1(X1))) )
& ( ~ r1_tarski(X0,k1_classes1(X1))
| ~ r2_hidden(X0,k1_classes1(X1)) )
& ( ~ v1_ordinal1(X1)
| ~ r2_hidden(X0,k1_classes1(X1)) ) )
| r1_tarski(k1_funct_2(X0,k1_classes1(X1)),k1_classes1(X1)) ),
inference(ennf_transformation,[],[f3590]) ).
fof(f8816,plain,
! [X0,X1,X2,X3] :
( k1_card_1(X2) != k1_card_1(X3)
| k1_card_1(X0) != k1_card_1(X1)
| k1_card_1(k1_funct_2(X0,X2)) = k1_card_1(k1_funct_2(X1,X3)) ),
inference(ennf_transformation,[],[f3541]) ).
fof(f8817,plain,
! [X0,X1,X2,X3] :
( k1_card_1(X2) != k1_card_1(X3)
| k1_card_1(X0) != k1_card_1(X1)
| k1_card_1(k1_funct_2(X0,X2)) = k1_card_1(k1_funct_2(X1,X3)) ),
inference(flattening,[],[f8816]) ).
fof(f8818,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_funct_2(X2,X0),k1_funct_2(X2,X1)) ),
inference(ennf_transformation,[],[f3536]) ).
fof(f8819,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k1_funct_2(X0,X1)) ),
inference(ennf_transformation,[],[f2555]) ).
fof(f8820,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k1_funct_2(X0,X1)) ),
inference(flattening,[],[f8819]) ).
fof(f8821,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2,X3] :
( ~ r1_tarski(X3,X0)
| ~ r1_tarski(X2,X1)
| ! [X4] :
( ~ m1_subset_1(X4,k1_funct_2(X2,X3))
| ( m2_relset_1(X4,X1,X0)
& v1_funct_1(X4) ) )
| k1_funct_2(X2,X3) = k1_xboole_0 ) ),
inference(ennf_transformation,[],[f2543]) ).
fof(f8822,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2,X3] :
( ~ r1_tarski(X3,X0)
| ~ r1_tarski(X2,X1)
| ! [X4] :
( ~ m1_subset_1(X4,k1_funct_2(X2,X3))
| ( m2_relset_1(X4,X1,X0)
& v1_funct_1(X4) ) )
| k1_funct_2(X2,X3) = k1_xboole_0 ) ),
inference(flattening,[],[f8821]) ).
fof(f8823,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X2,k1_funct_2(X0,X1))
| ( r1_tarski(k2_relat_1(X2),X1)
& k1_relat_1(X2) = X0 ) ),
inference(ennf_transformation,[],[f1873]) ).
fof(f8824,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X2,k1_funct_2(X0,X1))
| ( r1_tarski(k2_relat_1(X2),X1)
& k1_relat_1(X2) = X0 ) ),
inference(flattening,[],[f8823]) ).
fof(f8825,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,k1_funct_2(X0,X1))
| ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ),
inference(ennf_transformation,[],[f1824]) ).
fof(f8826,plain,
! [X0] :
( k1_xboole_0 = X0
| k1_funct_2(X0,k1_xboole_0) = k1_xboole_0 ),
inference(ennf_transformation,[],[f1715]) ).
fof(f8827,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| r2_hidden(X1,k1_funct_2(X0,X0)) ),
inference(ennf_transformation,[],[f1713]) ).
fof(f8828,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| r2_hidden(X1,k1_funct_2(X0,X0)) ),
inference(flattening,[],[f8827]) ).
fof(f8829,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 )
| r2_hidden(X2,k1_funct_2(X0,X1)) ),
inference(ennf_transformation,[],[f1712]) ).
fof(f8830,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 )
| r2_hidden(X2,k1_funct_2(X0,X1)) ),
inference(flattening,[],[f8829]) ).
fof(f8831,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ~ v1_xboole_0(k1_funct_2(X0,X1)) ),
inference(ennf_transformation,[],[f1692]) ).
fof(f8832,plain,
! [X0] :
( ~ v1_card_1(X0)
| ! [X1] :
( ~ v1_card_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(X1)
| ( ~ r2_hidden(X1,X0)
& ~ r1_tarski(X1,X0) ) ) ),
inference(ennf_transformation,[],[f4136]) ).
fof(f8833,plain,
! [X0] :
( ~ v1_card_1(X0)
| ! [X1] :
( ~ v1_card_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(X1)
| ( ~ r2_hidden(X1,X0)
& ~ r1_tarski(X1,X0) ) ) ),
inference(flattening,[],[f8832]) ).
fof(f8834,plain,
! [X0] :
( ~ v1_card_1(X0)
| ( r2_hidden(np__0,X0)
<=> r1_tarski(np__1,X0) ) ),
inference(ennf_transformation,[],[f4134]) ).
fof(f8836,plain,
! [X0] :
( ~ v1_card_1(X0)
| ! [X1] :
( ~ v1_card_1(X1)
| ~ v1_finset_1(X0)
| ( r1_tarski(X0,X1)
& r2_hidden(X0,X1) )
| v1_finset_1(X1) ) ),
inference(ennf_transformation,[],[f4123]) ).
fof(f8837,plain,
! [X0] :
( ~ v1_card_1(X0)
| ! [X1] :
( ~ v1_card_1(X1)
| ~ v1_finset_1(X0)
| ( r1_tarski(X0,X1)
& r2_hidden(X0,X1) )
| v1_finset_1(X1) ) ),
inference(flattening,[],[f8836]) ).
fof(f8838,plain,
! [X0] :
( ~ v1_card_1(X0)
| ~ v1_finset_1(X0)
| ? [X1] :
( X0 = k1_card_1(X1)
& m2_subset_1(X1,k1_numbers,k5_numbers) ) ),
inference(ennf_transformation,[],[f3217]) ).
fof(f8839,plain,
! [X0] :
( ~ v1_card_1(X0)
| ~ v1_finset_1(X0)
| ? [X1] :
( X0 = k1_card_1(X1)
& m2_subset_1(X1,k1_numbers,k5_numbers) ) ),
inference(flattening,[],[f8838]) ).
fof(f8840,plain,
! [X0,X1] :
( ~ v1_card_1(X1)
| ~ r2_hidden(X0,X1)
| r2_hidden(k1_card_1(X0),X1) ),
inference(ennf_transformation,[],[f3150]) ).
fof(f8841,plain,
! [X0,X1] :
( ~ v1_card_1(X1)
| ~ r2_hidden(X0,X1)
| r2_hidden(k1_card_1(X0),X1) ),
inference(flattening,[],[f8840]) ).
fof(f8842,plain,
! [X0,X1] :
( ~ v1_card_1(X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k1_card_1(X0),X1) ),
inference(ennf_transformation,[],[f3148]) ).
fof(f8843,plain,
! [X0,X1] :
( ~ v1_card_1(X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k1_card_1(X0),X1) ),
inference(flattening,[],[f8842]) ).
fof(f8844,plain,
! [X0] :
( ~ v1_card_1(X0)
| ! [X1] :
( ~ v1_card_1(X1)
| ( r2_hidden(X0,X1)
<=> ~ r1_tarski(X1,X0) ) ) ),
inference(ennf_transformation,[],[f3135]) ).
fof(f8845,plain,
! [X0] :
( ~ v1_card_1(X0)
| ! [X1] :
( ~ v1_card_1(X1)
| ( r2_hidden(X0,X1)
<=> ( X0 != X1
& r1_tarski(X0,X1) ) ) ) ),
inference(ennf_transformation,[],[f3134]) ).
fof(f8846,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ( r1_xreal_0(X0,X1)
<=> r1_ordinal1(X0,X1) ) ) ),
inference(ennf_transformation,[],[f3184]) ).
fof(f8847,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| r1_ordinal1(k1_card_1(X0),X0) ),
inference(ennf_transformation,[],[f3149]) ).
fof(f8848,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| r1_ordinal1(k3_tarski(X0),X0) ),
inference(ennf_transformation,[],[f2200]) ).
fof(f8849,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ! [X1] :
( ~ v3_ordinal1(X1)
| ( r1_ordinal1(X0,X1)
<=> r1_ordinal1(k1_ordinal1(X0),k1_ordinal1(X1)) ) ) ),
inference(ennf_transformation,[],[f2196]) ).
fof(f8850,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| ( r1_ordinal1(X0,X1)
<=> r1_tarski(X0,X1) ) ),
inference(ennf_transformation,[],[f1253]) ).
fof(f8851,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| ( r1_ordinal1(X0,X1)
<=> r1_tarski(X0,X1) ) ),
inference(flattening,[],[f8850]) ).
fof(f8852,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| r1_ordinal1(X1,X0)
| r1_ordinal1(X0,X1) ),
inference(ennf_transformation,[],[f1252]) ).
fof(f8853,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| r1_ordinal1(X1,X0)
| r1_ordinal1(X0,X1) ),
inference(flattening,[],[f8852]) ).
fof(f8854,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| r1_ordinal1(X0,X0) ),
inference(ennf_transformation,[],[f1251]) ).
fof(f8855,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| r1_ordinal1(X0,X0) ),
inference(flattening,[],[f8854]) ).
fof(f8856,plain,
! [X0] :
? [X1] :
( ! [X2] :
( ~ v3_ordinal1(X2)
| r2_hidden(X2,X0)
| r1_ordinal1(X1,X2) )
& ~ r2_hidden(X1,X0)
& v3_ordinal1(X1) ),
inference(ennf_transformation,[],[f1227]) ).
fof(f8857,plain,
! [X0] :
? [X1] :
( ! [X2] :
( ~ v3_ordinal1(X2)
| r2_hidden(X2,X0)
| r1_ordinal1(X1,X2) )
& ~ r2_hidden(X1,X0)
& v3_ordinal1(X1) ),
inference(flattening,[],[f8856]) ).
fof(f8858,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ! [X1] :
( ~ v3_ordinal1(X1)
| ( r2_hidden(X0,k1_ordinal1(X1))
<=> r1_ordinal1(X0,X1) ) ) ),
inference(ennf_transformation,[],[f1222]) ).
fof(f8859,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ! [X1] :
( ~ v3_ordinal1(X1)
| ( r2_hidden(X0,X1)
<=> r1_ordinal1(k1_ordinal1(X0),X1) ) ) ),
inference(ennf_transformation,[],[f1221]) ).
fof(f8860,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ? [X2] :
( v3_ordinal1(X2)
& ! [X3] :
( ~ v3_ordinal1(X3)
| ~ r2_hidden(X3,X0)
| r1_ordinal1(X2,X3) )
& r2_hidden(X2,X0) )
| k1_xboole_0 = X0
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f1220]) ).
fof(f8861,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ? [X2] :
( v3_ordinal1(X2)
& ! [X3] :
( ~ v3_ordinal1(X3)
| ~ r2_hidden(X3,X0)
| r1_ordinal1(X2,X3) )
& r2_hidden(X2,X0) )
| k1_xboole_0 = X0
| ~ r1_tarski(X0,X1) ),
inference(flattening,[],[f8860]) ).
fof(f8862,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ! [X1] :
( ~ v3_ordinal1(X1)
| r2_hidden(X1,X0)
| r1_ordinal1(X0,X1) ) ),
inference(ennf_transformation,[],[f1214]) ).
fof(f8863,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ! [X1] :
( ~ v3_ordinal1(X1)
| r2_hidden(X1,X0)
| r1_ordinal1(X0,X1) ) ),
inference(flattening,[],[f8862]) ).
fof(f8864,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(f8865,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,[],[f8864]) ).
fof(f8866,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(f8867,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,[],[f8866]) ).
fof(f8868,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(f8869,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,[],[f8868]) ).
fof(f8870,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(f8871,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,[],[f8870]) ).
fof(f8872,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(f8873,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,[],[f8872]) ).
fof(f8874,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(f8875,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,[],[f8874]) ).
fof(f8876,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(f8877,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,[],[f8876]) ).
fof(f8878,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(f8879,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,[],[f8878]) ).
fof(f8880,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r2_hidden(X1,k15_qc_lang2(X2))
| r2_hidden(X0,k15_qc_lang2(X2))
| ( ~ r2_qc_lang2(X0,X1)
& ~ r3_qc_lang2(X0,X1)
& ~ r1_qc_lang2(X0,X1) ) ) ) ),
inference(ennf_transformation,[],[f3951]) ).
fof(f8881,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r2_hidden(X1,k15_qc_lang2(X2))
| r2_hidden(X0,k15_qc_lang2(X2))
| ( ~ r2_qc_lang2(X0,X1)
& ~ r3_qc_lang2(X0,X1)
& ~ r1_qc_lang2(X0,X1) ) ) ) ),
inference(flattening,[],[f8880]) ).
fof(f8882,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ( ( ~ r3_qc_lang2(X1,X2)
| ~ r1_qc_lang2(X0,X1) )
& ( ~ r1_qc_lang2(X1,X2)
| ~ r3_qc_lang2(X0,X1) )
& ( ~ r2_qc_lang2(X1,X2)
| ~ r1_qc_lang2(X0,X1) )
& ( ~ r1_qc_lang2(X1,X2)
| ~ r2_qc_lang2(X0,X1) )
& ( ~ r3_qc_lang2(X1,X2)
| ~ r2_qc_lang2(X0,X1) )
& ( ~ r2_qc_lang2(X1,X2)
| ~ r3_qc_lang2(X0,X1) ) )
| r3_qc_lang2(X0,X2) ) ) ),
inference(ennf_transformation,[],[f3913]) ).
fof(f8883,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ( ( ~ r3_qc_lang2(X1,X2)
| ~ r1_qc_lang2(X0,X1) )
& ( ~ r1_qc_lang2(X1,X2)
| ~ r3_qc_lang2(X0,X1) )
& ( ~ r2_qc_lang2(X1,X2)
| ~ r1_qc_lang2(X0,X1) )
& ( ~ r1_qc_lang2(X1,X2)
| ~ r2_qc_lang2(X0,X1) )
& ( ~ r3_qc_lang2(X1,X2)
| ~ r2_qc_lang2(X0,X1) )
& ( ~ r2_qc_lang2(X1,X2)
| ~ r3_qc_lang2(X0,X1) ) )
| r3_qc_lang2(X0,X2) ) ) ),
inference(flattening,[],[f8882]) ).
fof(f8884,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_qc_lang2(X1,X0)
| ~ r3_qc_lang2(X0,X1) ) ),
inference(ennf_transformation,[],[f3912]) ).
fof(f8885,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_qc_lang2(X1,X0)
| ~ r3_qc_lang2(X0,X1) ) ),
inference(flattening,[],[f8884]) ).
fof(f8886,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_qc_lang2(X1,X0)
| ~ r2_qc_lang2(X0,X1) ) ),
inference(ennf_transformation,[],[f3911]) ).
fof(f8887,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_qc_lang2(X1,X0)
| ~ r2_qc_lang2(X0,X1) ) ),
inference(flattening,[],[f8886]) ).
fof(f8888,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ? [X2] :
( m1_subset_1(X2,k8_qc_lang1)
& r1_qc_lang2(X2,X1) )
| ~ r3_qc_lang2(X0,X1) ) ),
inference(ennf_transformation,[],[f3905]) ).
fof(f8889,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ? [X2] :
( m1_subset_1(X2,k8_qc_lang1)
& r1_qc_lang2(X2,X1) )
| ~ r3_qc_lang2(X0,X1) ) ),
inference(flattening,[],[f8888]) ).
fof(f8890,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_qc_lang2(X0,X1)
| r3_qc_lang2(X0,X1) ) ),
inference(ennf_transformation,[],[f3903]) ).
fof(f8891,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_qc_lang2(X0,X1)
| r3_qc_lang2(X0,X1) ) ),
inference(flattening,[],[f8890]) ).
fof(f8892,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_qc_lang2(X0,X1)
| r2_qc_lang2(X0,X1) ) ),
inference(ennf_transformation,[],[f3902]) ).
fof(f8893,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_qc_lang2(X0,X1)
| r2_qc_lang2(X0,X1) ) ),
inference(flattening,[],[f8892]) ).
fof(f8894,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_xreal_0(k3_finseq_1(k10_qc_lang1(X1)),k3_finseq_1(k10_qc_lang1(X0)))
| ~ r1_qc_lang2(X0,X1) ) ),
inference(ennf_transformation,[],[f3901]) ).
fof(f8895,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_xreal_0(k3_finseq_1(k10_qc_lang1(X1)),k3_finseq_1(k10_qc_lang1(X0)))
| ~ r1_qc_lang2(X0,X1) ) ),
inference(flattening,[],[f8894]) ).
fof(f8896,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m2_subset_1(X2,k1_qc_lang1,k2_qc_lang1)
| ( r1_qc_lang2(X0,k14_qc_lang1(X2,X1))
<=> X0 = X1 ) ) ) ),
inference(ennf_transformation,[],[f3891]) ).
fof(f8897,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ( r1_qc_lang2(X0,k13_qc_lang1(X1,X2))
<=> ( X0 = X2
| X0 = X1 ) ) ) ) ),
inference(ennf_transformation,[],[f3890]) ).
fof(f8898,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ( r1_qc_lang2(X0,k12_qc_lang1(X1))
<=> X0 = X1 ) ) ),
inference(ennf_transformation,[],[f3888]) ).
fof(f8899,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r1_qc_lang2(X0,k11_qc_lang1) ),
inference(ennf_transformation,[],[f3886]) ).
fof(f8900,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ( r1_qc_lang2(X0,X1)
<=> ( ? [X3] :
( m2_subset_1(X3,k1_qc_lang1,k2_qc_lang1)
& k14_qc_lang1(X3,X0) = X1 )
| ? [X2] :
( m1_subset_1(X2,k8_qc_lang1)
& ( k13_qc_lang1(X2,X0) = X1
| k13_qc_lang1(X0,X2) = X1 ) )
| k12_qc_lang1(X0) = X1 ) ) ) ),
inference(ennf_transformation,[],[f6455]) ).
fof(f8901,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| r2_qc_lang2(X0,X0) ),
inference(ennf_transformation,[],[f3952]) ).
fof(f8902,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| r2_qc_lang2(X0,X0) ),
inference(flattening,[],[f8901]) ).
fof(f8903,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_qc_lang2(X0,X1)
| r1_tarski(k15_qc_lang2(X0),k15_qc_lang2(X1)) ) ),
inference(ennf_transformation,[],[f3935]) ).
fof(f8904,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_qc_lang2(X0,X1)
| r1_tarski(k15_qc_lang2(X0),k15_qc_lang2(X1)) ) ),
inference(flattening,[],[f8903]) ).
fof(f8905,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_hidden(X0,k15_qc_lang2(X1))
| r2_qc_lang2(X0,X1) ) ),
inference(ennf_transformation,[],[f3934]) ).
fof(f8906,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_hidden(X0,k15_qc_lang2(X1))
| r2_qc_lang2(X0,X1) ) ),
inference(flattening,[],[f8905]) ).
fof(f8907,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( X1 = k15_qc_lang2(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_qc_lang2(X3,X0)
& X3 = X2
& m1_subset_1(X3,k8_qc_lang1) ) ) ) ),
inference(ennf_transformation,[],[f3932]) ).
fof(f8908,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ( r2_qc_lang2(X0,k11_qc_lang1)
<=> X0 = k11_qc_lang1 ) ),
inference(ennf_transformation,[],[f3929]) ).
fof(f8909,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m2_subset_1(X2,k1_qc_lang1,k2_qc_lang1)
| ~ r2_qc_lang2(k14_qc_lang1(X2,X0),X1)
| r3_qc_lang2(X0,X1) ) ) ),
inference(ennf_transformation,[],[f3922]) ).
fof(f8910,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m2_subset_1(X2,k1_qc_lang1,k2_qc_lang1)
| ~ r2_qc_lang2(k14_qc_lang1(X2,X0),X1)
| r3_qc_lang2(X0,X1) ) ) ),
inference(flattening,[],[f8909]) ).
fof(f8911,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m2_subset_1(X2,k1_qc_lang1,k2_qc_lang1)
| ( r2_qc_lang2(X0,X1)
<=> r3_qc_lang2(X0,k14_qc_lang1(X2,X1)) ) ) ) ),
inference(ennf_transformation,[],[f3921]) ).
fof(f8912,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r2_qc_lang2(k13_qc_lang1(X0,X1),X2)
| ( r3_qc_lang2(X1,X2)
& r3_qc_lang2(X0,X2) ) ) ) ),
inference(ennf_transformation,[],[f3920]) ).
fof(f8913,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r2_qc_lang2(k13_qc_lang1(X0,X1),X2)
| ( r3_qc_lang2(X1,X2)
& r3_qc_lang2(X0,X2) ) ) ) ),
inference(flattening,[],[f8912]) ).
fof(f8914,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ( ( r2_qc_lang2(X0,X2)
| r2_qc_lang2(X0,X1) )
<=> r3_qc_lang2(X0,k13_qc_lang1(X1,X2)) ) ) ) ),
inference(ennf_transformation,[],[f3919]) ).
fof(f8915,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_qc_lang2(k12_qc_lang1(X0),X1)
| r3_qc_lang2(X0,X1) ) ),
inference(ennf_transformation,[],[f3917]) ).
fof(f8916,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_qc_lang2(k12_qc_lang1(X0),X1)
| r3_qc_lang2(X0,X1) ) ),
inference(flattening,[],[f8915]) ).
fof(f8917,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ( r2_qc_lang2(X0,X1)
<=> r3_qc_lang2(X0,k12_qc_lang1(X1)) ) ) ),
inference(ennf_transformation,[],[f3916]) ).
fof(f8918,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_qc_lang2(X1,X0)
| ~ r3_qc_lang2(X0,X1) ) ),
inference(ennf_transformation,[],[f3909]) ).
fof(f8919,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_qc_lang2(X1,X0)
| ~ r3_qc_lang2(X0,X1) ) ),
inference(flattening,[],[f8918]) ).
fof(f8920,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_qc_lang2(X1,X0)
| ~ r2_qc_lang2(X0,X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f3908]) ).
fof(f8921,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_qc_lang2(X1,X0)
| ~ r2_qc_lang2(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f8920]) ).
fof(f8922,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r2_qc_lang2(X1,X2)
| ~ r2_qc_lang2(X0,X1)
| r2_qc_lang2(X0,X2) ) ) ),
inference(ennf_transformation,[],[f3907]) ).
fof(f8923,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r2_qc_lang2(X1,X2)
| ~ r2_qc_lang2(X0,X1)
| r2_qc_lang2(X0,X2) ) ) ),
inference(flattening,[],[f8922]) ).
fof(f8924,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ( r3_qc_lang2(X0,X1)
<=> ( X0 != X1
& r2_qc_lang2(X0,X1) ) ) ) ),
inference(ennf_transformation,[],[f3897]) ).
fof(f8925,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| k13_qc_lang1(X0,X1) = k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(np__2,np__0)),k10_qc_lang1(X0)),k10_qc_lang1(X1)) ) ),
inference(ennf_transformation,[],[f3729]) ).
fof(f8926,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| k12_qc_lang1(X0) = k7_finseq_1(k9_finseq_1(k4_tarski(np__1,np__0)),k10_qc_lang1(X0)) ),
inference(ennf_transformation,[],[f3728]) ).
fof(f8927,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] : k7_finseq_1(X1,k9_finseq_1(X2)) = X0 )
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f3323]) ).
fof(f8928,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] : k7_finseq_1(X1,k9_finseq_1(X2)) = X0 )
| k1_xboole_0 = X0 ),
inference(flattening,[],[f8927]) ).
fof(f8929,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(k7_finseq_1(k9_finseq_1(X0),X1),np__1) = X0 ),
inference(ennf_transformation,[],[f3318]) ).
fof(f8930,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(k7_finseq_1(k9_finseq_1(X0),X1),np__1) = X0 ),
inference(flattening,[],[f8929]) ).
fof(f8931,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( X1 = k9_finseq_1(X0)
<=> ( k1_funct_1(X1,np__1) = X0
& k3_finseq_1(X1) = np__1 ) ) ),
inference(ennf_transformation,[],[f3317]) ).
fof(f8932,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( X1 = k9_finseq_1(X0)
<=> ( k1_funct_1(X1,np__1) = X0
& k3_finseq_1(X1) = np__1 ) ) ),
inference(flattening,[],[f8931]) ).
fof(f8933,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)
& k3_finseq_1(X1) = np__1 ) ) ),
inference(ennf_transformation,[],[f3316]) ).
fof(f8934,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)
& k3_finseq_1(X1) = np__1 ) ) ),
inference(flattening,[],[f8933]) ).
fof(f8935,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( X1 = k9_finseq_1(X0)
<=> ( k1_funct_1(X1,np__1) = X0
& k1_relat_1(X1) = k2_finseq_1(np__1) ) ) ),
inference(ennf_transformation,[],[f3306]) ).
fof(f8936,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( X1 = k9_finseq_1(X0)
<=> ( k1_funct_1(X1,np__1) = X0
& k1_relat_1(X1) = k2_finseq_1(np__1) ) ) ),
inference(flattening,[],[f8935]) ).
fof(f8937,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,k6_rlvect_1(X0,X1,X2)) = k6_rlvect_1(X0,X2,X1) ) ) ),
inference(ennf_transformation,[],[f5261]) ).
fof(f8938,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,k6_rlvect_1(X0,X1,X2)) = k6_rlvect_1(X0,X2,X1) ) ) ),
inference(flattening,[],[f8937]) ).
fof(f8939,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))
| ( ( X1 != X2
| k6_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0) )
& ( k1_rlvect_1(X0) != k6_rlvect_1(X0,X1,X2)
| X1 = X2 )
& ( X1 != X2
| k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X2)) = k1_rlvect_1(X0) )
& ( k1_rlvect_1(X0) != k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X2))
| X1 = X2 ) ) ) ) ),
inference(ennf_transformation,[],[f5243]) ).
fof(f8940,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))
| ( ( X1 != X2
| k6_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0) )
& ( k1_rlvect_1(X0) != k6_rlvect_1(X0,X1,X2)
| X1 = X2 )
& ( X1 != X2
| k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X2)) = k1_rlvect_1(X0) )
& ( k1_rlvect_1(X0) != k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X2))
| X1 = X2 ) ) ) ) ),
inference(flattening,[],[f8939]) ).
fof(f8941,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))
| ( k6_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1
& k6_rlvect_1(X0,k1_rlvect_1(X0),X1) = k5_rlvect_1(X0,X1) ) ) ),
inference(ennf_transformation,[],[f5242]) ).
fof(f8942,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))
| ( k6_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1
& k6_rlvect_1(X0,k1_rlvect_1(X0),X1) = k5_rlvect_1(X0,X1) ) ) ),
inference(flattening,[],[f8941]) ).
fof(f8943,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))
| ( k6_rlvect_1(X0,X1,k2_rlvect_1(X0,X3,X2)) = k6_rlvect_1(X0,k6_rlvect_1(X0,X1,X2),X3)
& k5_rlvect_1(X0,k6_rlvect_1(X0,k5_rlvect_1(X0,X2),X3)) = k2_rlvect_1(X0,X3,X2)
& k5_rlvect_1(X0,k6_rlvect_1(X0,X2,X3)) = k2_rlvect_1(X0,X3,k5_rlvect_1(X0,X2))
& k5_rlvect_1(X0,k2_rlvect_1(X0,X3,k5_rlvect_1(X0,X2))) = k6_rlvect_1(X0,X2,X3)
& k5_rlvect_1(X0,k2_rlvect_1(X0,X2,X3)) = k6_rlvect_1(X0,k5_rlvect_1(X0,X3),X2) ) ) ) ) ),
inference(ennf_transformation,[],[f5241]) ).
fof(f8944,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))
| ( k6_rlvect_1(X0,X1,k2_rlvect_1(X0,X3,X2)) = k6_rlvect_1(X0,k6_rlvect_1(X0,X1,X2),X3)
& k5_rlvect_1(X0,k6_rlvect_1(X0,k5_rlvect_1(X0,X2),X3)) = k2_rlvect_1(X0,X3,X2)
& k5_rlvect_1(X0,k6_rlvect_1(X0,X2,X3)) = k2_rlvect_1(X0,X3,k5_rlvect_1(X0,X2))
& k5_rlvect_1(X0,k2_rlvect_1(X0,X3,k5_rlvect_1(X0,X2))) = k6_rlvect_1(X0,X2,X3)
& k5_rlvect_1(X0,k2_rlvect_1(X0,X2,X3)) = k6_rlvect_1(X0,k5_rlvect_1(X0,X3),X2) ) ) ) ) ),
inference(flattening,[],[f8943]) ).
fof(f8945,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_rlvect_1(X0,X1),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f4975]) ).
fof(f8946,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_rlvect_1(X0,X1),u1_struct_0(X0)) ),
inference(flattening,[],[f8945]) ).
fof(f8947,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,k6_rlvect_1(X0,X1,X2)) = k2_rlvect_1(X0,X2,k5_rlvect_1(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f4910]) ).
fof(f8948,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,k6_rlvect_1(X0,X1,X2)) = k2_rlvect_1(X0,X2,k5_rlvect_1(X0,X1)) ) ) ),
inference(flattening,[],[f8947]) ).
fof(f8949,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] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k6_rlvect_1(X0,k5_rlvect_1(X0,X1),X2) = k6_rlvect_1(X0,k5_rlvect_1(X0,X2),X1) ) ) ),
inference(ennf_transformation,[],[f4909]) ).
fof(f8950,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] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k6_rlvect_1(X0,k5_rlvect_1(X0,X1),X2) = k6_rlvect_1(X0,k5_rlvect_1(X0,X2),X1) ) ) ),
inference(flattening,[],[f8949]) ).
fof(f8951,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)) = k6_rlvect_1(X0,k5_rlvect_1(X0,X2),X1) ) ) ),
inference(ennf_transformation,[],[f4907]) ).
fof(f8952,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)) = k6_rlvect_1(X0,k5_rlvect_1(X0,X2),X1) ) ) ),
inference(flattening,[],[f8951]) ).
fof(f8953,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,X1) != k5_rlvect_1(X0,X2)
| X1 = X2 ) ) ),
inference(ennf_transformation,[],[f4894]) ).
fof(f8954,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,X1) != k5_rlvect_1(X0,X2)
| X1 = X2 ) ) ),
inference(flattening,[],[f8953]) ).
fof(f8955,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))
| k5_rlvect_1(X0,k5_rlvect_1(X0,X1)) = X1 ) ),
inference(ennf_transformation,[],[f4893]) ).
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))
| k5_rlvect_1(X0,k5_rlvect_1(X0,X1)) = X1 ) ),
inference(flattening,[],[f8955]) ).
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))
| k6_rlvect_1(X0,k1_rlvect_1(X0),X1) = k5_rlvect_1(X0,X1) ) ),
inference(ennf_transformation,[],[f4890]) ).
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))
| k6_rlvect_1(X0,k1_rlvect_1(X0),X1) = k5_rlvect_1(X0,X1) ) ),
inference(flattening,[],[f8957]) ).
fof(f8959,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))
| k6_rlvect_1(X0,X1,X2) = k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X2)) ) ) ),
inference(ennf_transformation,[],[f4873]) ).
fof(f8960,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))
| k6_rlvect_1(X0,X1,X2) = k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X2)) ) ) ),
inference(flattening,[],[f8959]) ).
fof(f8961,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_numbers)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k3_rlvect_1(X0,X1,X2),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f4971]) ).
fof(f8962,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_numbers)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k3_rlvect_1(X0,X1,X2),u1_struct_0(X0)) ),
inference(flattening,[],[f8961]) ).
fof(f8963,plain,
! [X0] :
( ~ l2_rlvect_1(X0)
| l1_rlvect_1(X0) ),
inference(ennf_transformation,[],[f4965]) ).
fof(f8964,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| r1_rfinseq(X0,X0) ),
inference(ennf_transformation,[],[f4252]) ).
fof(f8965,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| r1_rfinseq(X0,X0) ),
inference(flattening,[],[f8964]) ).
fof(f8966,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1)
| r1_rfinseq(X1,X0) ),
inference(ennf_transformation,[],[f4251]) ).
fof(f8967,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1)
| r1_rfinseq(X1,X0) ),
inference(flattening,[],[f8966]) ).
fof(f8968,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finset_1(X1)
| ? [X2] :
( r1_rfinseq(k7_relat_1(X0,X1),X2)
& v1_finseq_1(X2)
& v1_funct_1(X2)
& v1_relat_1(X2) ) ) ),
inference(ennf_transformation,[],[f4227]) ).
fof(f8969,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finset_1(X1)
| ? [X2] :
( r1_rfinseq(k7_relat_1(X0,X1),X2)
& v1_finseq_1(X2)
& v1_funct_1(X2)
& v1_relat_1(X2) ) ) ),
inference(flattening,[],[f8968]) ).
fof(f8970,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_rfinseq(X0,X1)
<=> ? [X2] :
( X0 = k5_relat_1(X2,X1)
& m2_relset_1(X2,k4_finseq_1(X1),k4_finseq_1(X1))
& v3_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
& v1_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
& v1_funct_1(X2) ) ) ) ),
inference(ennf_transformation,[],[f4226]) ).
fof(f8971,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_rfinseq(X0,X1)
<=> ? [X2] :
( X0 = k5_relat_1(X2,X1)
& m2_relset_1(X2,k4_finseq_1(X1),k4_finseq_1(X1))
& v3_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
& v1_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
& v1_funct_1(X2) ) ) ) ),
inference(flattening,[],[f8970]) ).
fof(f8972,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_rfinseq(k7_finseq_1(X0,X1),k7_finseq_1(X1,X0)) ) ),
inference(ennf_transformation,[],[f4224]) ).
fof(f8973,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_rfinseq(k7_finseq_1(X0,X1),k7_finseq_1(X1,X0)) ) ),
inference(flattening,[],[f8972]) ).
fof(f8974,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)
| ( r1_rfinseq(X0,X1)
<=> r1_rfinseq(k7_finseq_1(X0,X2),k7_finseq_1(X1,X2)) ) ) ) ),
inference(ennf_transformation,[],[f4223]) ).
fof(f8975,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)
| ( r1_rfinseq(X0,X1)
<=> r1_rfinseq(k7_finseq_1(X0,X2),k7_finseq_1(X1,X2)) ) ) ) ),
inference(flattening,[],[f8974]) ).
fof(f8976,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| k1_card_1(k1_relat_1(X0)) = k1_card_1(k1_relat_1(X1)) ) ),
inference(ennf_transformation,[],[f4216]) ).
fof(f8977,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| k1_card_1(k1_relat_1(X0)) = k1_card_1(k1_relat_1(X1)) ) ),
inference(flattening,[],[f8976]) ).
fof(f8978,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X0) != k1_relat_1(X1)
| ( r1_rfinseq(X0,X1)
<=> ? [X2] :
( X0 = k5_relat_1(X2,X1)
& m2_relset_1(X2,k1_relat_1(X0),k1_relat_1(X0))
& v3_funct_2(X2,k1_relat_1(X0),k1_relat_1(X0))
& v1_funct_2(X2,k1_relat_1(X0),k1_relat_1(X0))
& v1_funct_1(X2) ) ) ) ),
inference(ennf_transformation,[],[f4215]) ).
fof(f8979,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X0) != k1_relat_1(X1)
| ( r1_rfinseq(X0,X1)
<=> ? [X2] :
( X0 = k5_relat_1(X2,X1)
& m2_relset_1(X2,k1_relat_1(X0),k1_relat_1(X0))
& v3_funct_2(X2,k1_relat_1(X0),k1_relat_1(X0))
& v1_funct_2(X2,k1_relat_1(X0),k1_relat_1(X0))
& v1_funct_1(X2) ) ) ) ),
inference(flattening,[],[f8978]) ).
fof(f8980,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X2),X0)
| ~ r1_tarski(k2_relat_1(X1),X0)
| ( r1_rfinseq(X1,X2)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_card_1(k10_relat_1(X1,k1_tarski(X3))) = k1_card_1(k10_relat_1(X2,k1_tarski(X3))) ) ) ) ) ),
inference(ennf_transformation,[],[f4214]) ).
fof(f8981,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X2),X0)
| ~ r1_tarski(k2_relat_1(X1),X0)
| ( r1_rfinseq(X1,X2)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_card_1(k10_relat_1(X1,k1_tarski(X3))) = k1_card_1(k10_relat_1(X2,k1_tarski(X3))) ) ) ) ) ),
inference(flattening,[],[f8980]) ).
fof(f8982,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( r1_rfinseq(X0,X1)
<=> ! [X2] : k1_card_1(k10_relat_1(X0,X2)) = k1_card_1(k10_relat_1(X1,X2)) ) ) ),
inference(ennf_transformation,[],[f4213]) ).
fof(f8983,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( r1_rfinseq(X0,X1)
<=> ! [X2] : k1_card_1(k10_relat_1(X0,X2)) = k1_card_1(k10_relat_1(X1,X2)) ) ) ),
inference(flattening,[],[f8982]) ).
fof(f8984,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( r1_rfinseq(X0,X1)
<=> ? [X2] :
( X0 = k5_relat_1(X2,X1)
& v2_funct_1(X2)
& k2_relat_1(X2) = k1_relat_1(X1)
& k1_relat_1(X2) = k1_relat_1(X0)
& v1_funct_1(X2)
& v1_relat_1(X2) ) ) ) ),
inference(ennf_transformation,[],[f4212]) ).
fof(f8985,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( r1_rfinseq(X0,X1)
<=> ? [X2] :
( X0 = k5_relat_1(X2,X1)
& v2_funct_1(X2)
& k2_relat_1(X2) = k1_relat_1(X1)
& k1_relat_1(X2) = k1_relat_1(X0)
& v1_funct_1(X2)
& v1_relat_1(X2) ) ) ) ),
inference(flattening,[],[f8984]) ).
fof(f8986,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)
| ~ r1_rfinseq(X0,X2)
| ~ r1_rfinseq(X0,X1)
| r1_rfinseq(X1,X2) ) ) ),
inference(ennf_transformation,[],[f4211]) ).
fof(f8987,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)
| ~ r1_rfinseq(X0,X2)
| ~ r1_rfinseq(X0,X1)
| r1_rfinseq(X1,X2) ) ) ),
inference(flattening,[],[f8986]) ).
fof(f8988,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| k2_relat_1(X0) = k2_relat_1(X1) ) ),
inference(ennf_transformation,[],[f4210]) ).
fof(f8989,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| k2_relat_1(X0) = k2_relat_1(X1) ) ),
inference(flattening,[],[f8988]) ).
fof(f8990,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ( r1_rfinseq(X0,X1)
<=> ! [X2] : k1_card_1(k10_relat_1(X0,k1_tarski(X2))) = k1_card_1(k10_relat_1(X1,k1_tarski(X2))) ) ) ),
inference(ennf_transformation,[],[f4209]) ).
fof(f8991,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(f8992,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,[],[f8991]) ).
fof(f8993,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(f8994,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,[],[f8993]) ).
fof(f8995,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(f8996,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,[],[f8995]) ).
fof(f8997,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(f8998,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( v2_group_1(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f8997]) ).
fof(f8999,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(f9000,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(f9001,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,[],[f9000]) ).
fof(f9002,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(f9003,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,[],[f9002]) ).
fof(f9004,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(f9005,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,[],[f9004]) ).
fof(f9006,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(f9007,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f9006]) ).
fof(f9008,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(f9009,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,[],[f9008]) ).
fof(f9010,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(f9011,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,[],[f9010]) ).
fof(f9012,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(f9013,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,[],[f9012]) ).
fof(f9016,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(f9017,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,[],[f9016]) ).
fof(f9018,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(f9019,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,[],[f9018]) ).
fof(f9020,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,[],[f6456]) ).
fof(f9021,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,[],[f9020]) ).
fof(f9024,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(f9025,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,[],[f9024]) ).
fof(f9026,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(f9027,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,[],[f9026]) ).
fof(f9028,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(f9029,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,[],[f9028]) ).
fof(f9030,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(f9031,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,[],[f9030]) ).
fof(f9032,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(f9033,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,[],[f9032]) ).
fof(f9034,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(f9035,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,[],[f9034]) ).
fof(f9038,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(f9039,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,[],[f9038]) ).
fof(f9040,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(f9041,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,[],[f9040]) ).
fof(f9042,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(f9043,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,[],[f9042]) ).
fof(f9044,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(f9045,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,[],[f9044]) ).
fof(f9046,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(f9047,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,[],[f9046]) ).
fof(f9048,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(f9049,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,[],[f9048]) ).
fof(f9050,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(f9051,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,[],[f9050]) ).
fof(f9052,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(f9053,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,[],[f9052]) ).
fof(f9054,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(f9055,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,[],[f9054]) ).
fof(f9056,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k2_setwiseo(X0,X1) = k1_tarski(X1) ),
inference(ennf_transformation,[],[f2516]) ).
fof(f9057,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k2_setwiseo(X0,X1) = k1_tarski(X1) ),
inference(flattening,[],[f9056]) ).
fof(f9058,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(f9059,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,[],[f9058]) ).
fof(f9060,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(f9061,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,[],[f9060]) ).
fof(f9062,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(f9063,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,[],[f9062]) ).
fof(f9064,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(f9065,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,[],[f9064]) ).
fof(f9066,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(f9067,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,[],[f9066]) ).
fof(f9068,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(f9069,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,[],[f9068]) ).
fof(f9070,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(f9071,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,[],[f9070]) ).
fof(f9072,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(f9073,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,[],[f9072]) ).
fof(f9074,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(f9075,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,[],[f9074]) ).
fof(f9076,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(f9077,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,[],[f9076]) ).
fof(f9078,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(f9079,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,[],[f9078]) ).
fof(f9080,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(f9081,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,[],[f9080]) ).
fof(f9082,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(f9083,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,[],[f9082]) ).
fof(f9084,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(f9085,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,[],[f9084]) ).
fof(f9086,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(f9087,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,[],[f9086]) ).
fof(f9088,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(f9089,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,[],[f9088]) ).
fof(f9090,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(f9091,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,[],[f9090]) ).
fof(f9092,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(f9093,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,[],[f9092]) ).
fof(f9094,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(f9095,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,[],[f9094]) ).
fof(f9096,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(f9097,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,[],[f9096]) ).
fof(f9098,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(f9099,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,[],[f9098]) ).
fof(f9100,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(f9101,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,[],[f9100]) ).
fof(f9102,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(f9103,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,[],[f9102]) ).
fof(f9104,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(f9105,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,[],[f9104]) ).
fof(f9108,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(f9109,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,[],[f9108]) ).
fof(f9110,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(f9111,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,[],[f9110]) ).
fof(f9112,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(f9113,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,[],[f9112]) ).
fof(f9114,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(f9115,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,[],[f9114]) ).
fof(f9116,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u1_cat_1(X0)) ),
inference(ennf_transformation,[],[f4468]) ).
fof(f9117,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u2_cat_1(X0)) ),
inference(ennf_transformation,[],[f4469]) ).
fof(f9118,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(f9119,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,[],[f9118]) ).
fof(f9120,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(f9121,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(f9122,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,[],[f9121]) ).
fof(f9123,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(f9124,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,[],[f9123]) ).
fof(f9125,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(f9126,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,[],[f9125]) ).
fof(f9127,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(f9128,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,[],[f9127]) ).
fof(f9129,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(f9130,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,[],[f9129]) ).
fof(f9131,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(f9132,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,[],[f9131]) ).
fof(f9133,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(f9134,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,[],[f9133]) ).
fof(f9135,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(f9136,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,[],[f9135]) ).
fof(f9139,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(f9140,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,[],[f9139]) ).
fof(f9141,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(f9142,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,[],[f9141]) ).
fof(f9143,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(f9144,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,[],[f9143]) ).
fof(f9145,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,[],[f6457]) ).
fof(f9146,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,[],[f9145]) ).
fof(f9147,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(f9148,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,[],[f9147]) ).
fof(f9149,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k8_relat_1(X0,X1)) ),
inference(ennf_transformation,[],[f911]) ).
fof(f9150,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(f9151,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(f9152,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k8_relat_1(k1_xboole_0,X0) = k1_xboole_0 ),
inference(ennf_transformation,[],[f845]) ).
fof(f9153,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(f9154,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(f9155,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(f9156,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(f9157,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,[],[f9156]) ).
fof(f9158,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(f9159,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,[],[f9158]) ).
fof(f9160,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(f9161,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,[],[f9160]) ).
fof(f9162,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(f9163,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,[],[f9162]) ).
fof(f9164,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(f9165,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,[],[f9164]) ).
fof(f9166,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(f9167,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(f9168,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k8_relat_1(k2_relat_1(X0),X0) = X0 ),
inference(ennf_transformation,[],[f834]) ).
fof(f9169,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(f9170,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| k8_relat_1(X0,X1) = X1 ),
inference(flattening,[],[f9169]) ).
fof(f9171,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(f9172,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(f9173,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(f9174,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(f9175,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,[],[f9174]) ).
fof(f9176,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(f9177,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(f9178,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k8_relat_1(X0,X1),X1) ),
inference(ennf_transformation,[],[f825]) ).
fof(f9179,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k8_relat_1(X0,X1)),X0) ),
inference(ennf_transformation,[],[f824]) ).
fof(f9180,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(f9181,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(f9182,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(f9183,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,[],[f9182]) ).
fof(f9184,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(f9185,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,[],[f9184]) ).
fof(f9188,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(f9189,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,[],[f9188]) ).
fof(f9190,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(f9191,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,[],[f9190]) ).
fof(f9192,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_relat_2(X0)
| v1_relat_2(k4_relat_1(X0)) ),
inference(ennf_transformation,[],[f1152]) ).
fof(f9193,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_relat_2(X0)
| v1_relat_2(k4_relat_1(X0)) ),
inference(flattening,[],[f9192]) ).
fof(f9194,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| v1_relat_2(X0) ),
inference(ennf_transformation,[],[f1147]) ).
fof(f9195,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| v1_relat_2(X0) ),
inference(flattening,[],[f9194]) ).
fof(f9196,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v8_relat_2(X0)
| v8_relat_2(k4_relat_1(X0)) ),
inference(ennf_transformation,[],[f1167]) ).
fof(f9197,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v8_relat_2(X0)
| v8_relat_2(k4_relat_1(X0)) ),
inference(flattening,[],[f9196]) ).
fof(f9198,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v3_relat_2(X0)
| v3_relat_2(k4_relat_1(X0)) ),
inference(ennf_transformation,[],[f1159]) ).
fof(f9199,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v3_relat_2(X0)
| v3_relat_2(k4_relat_1(X0)) ),
inference(flattening,[],[f9198]) ).
fof(f9200,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( v3_relat_2(X0)
<=> X0 = k4_relat_1(X0) ) ),
inference(ennf_transformation,[],[f1155]) ).
fof(f9201,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(f9202,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v2_funct_1(X0)
| k2_funct_1(X0) = k4_relat_1(X0) ),
inference(flattening,[],[f9201]) ).
fof(f9203,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(f9204,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,[],[f9203]) ).
fof(f9205,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(X0)) = X0 ),
inference(ennf_transformation,[],[f907]) ).
fof(f9206,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_relat_1(k4_relat_1(X0)) ),
inference(ennf_transformation,[],[f906]) ).
fof(f9207,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(f9208,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(f9209,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(f9210,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(f9211,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(f9212,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(f9213,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(f9214,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(f9215,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(f9216,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(f9217,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,[],[f9216]) ).
fof(f9218,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(f9219,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,[],[f9218]) ).
fof(f9220,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(f9221,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,[],[f9220]) ).
fof(f9222,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(f9223,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,[],[f9222]) ).
fof(f9224,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(f9225,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,[],[f9224]) ).
fof(f9226,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(f9227,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,[],[f9226]) ).
fof(f9228,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(f9229,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,[],[f9228]) ).
fof(f9230,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(f9231,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,[],[f9230]) ).
fof(f9232,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(f9233,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,[],[f9232]) ).
fof(f9234,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(f9235,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,[],[f9234]) ).
fof(f9236,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(f9237,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,[],[f9236]) ).
fof(f9238,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(f9239,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,[],[f9238]) ).
fof(f9240,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(f9243,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(f9244,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,[],[f9243]) ).
fof(f9245,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(f9246,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,[],[f9245]) ).
fof(f9247,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(f9248,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,[],[f9247]) ).
fof(f9251,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(f9252,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,[],[f9251]) ).
fof(f9253,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(f9254,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,[],[f9253]) ).
fof(f9255,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(f9256,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,[],[f9255]) ).
fof(f9257,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(f9258,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,[],[f9257]) ).
fof(f9259,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(f9260,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,[],[f9259]) ).
fof(f9261,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(f9262,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,[],[f9261]) ).
fof(f9263,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(f9264,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,[],[f9263]) ).
fof(f9265,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(f9266,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,[],[f9265]) ).
fof(f9267,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(f9268,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,[],[f9267]) ).
fof(f9269,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(f9270,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,[],[f9269]) ).
fof(f9271,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(f9272,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,[],[f9271]) ).
fof(f9273,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(f9274,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,[],[f9273]) ).
fof(f9275,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(f9276,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,[],[f9275]) ).
fof(f9277,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(f9278,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,[],[f9277]) ).
fof(f9279,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(f9280,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,[],[f9279]) ).
fof(f9281,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(f9282,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,[],[f9281]) ).
fof(f9283,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(f9284,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( v3_realset2(X0)
<=> ? [X1] : u1_struct_0(X0) = k1_tarski(X1) ) ),
inference(flattening,[],[f9283]) ).
fof(f9285,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(f9286,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(f9287,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,[],[f9286]) ).
fof(f9288,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(f9289,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,[],[f9288]) ).
fof(f9290,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(f9291,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,[],[f9290]) ).
fof(f9292,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ m1_filter_0(X2,X0)
| k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k5_filter_0(X0,X1,X2)) ) ) ),
inference(ennf_transformation,[],[f5538]) ).
fof(f9293,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ m1_filter_0(X2,X0)
| k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k5_filter_0(X0,X1,X2)) ) ) ),
inference(flattening,[],[f9292]) ).
fof(f9294,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(f9295,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,[],[f9294]) ).
fof(f9296,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(f9297,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,[],[f9296]) ).
fof(f9298,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(f9299,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,[],[f9298]) ).
fof(f9300,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(f9301,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,[],[f9300]) ).
fof(f9372,plain,
( l1_pre_topc(sK42)
& v2_pre_topc(sK42)
& ~ v3_struct_0(sK42)
& ~ m1_subset_1(k2_pre_topc(sK42),u1_struct_0(k6_lopclset(sK42))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(X0,sK42)],[f6504]) ).
fof(f9373,plain,
! [X0] : m1_subset_1(sK43(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43]),skolemize(X1,sK43(X0))],[f553]) ).
fof(f9374,plain,
l1_pre_topc(sK44),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44]),skolemize(X0,sK44)],[f4688]) ).
fof(f9375,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,[],[f6518]) ).
fof(f9376,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,[],[f9375]) ).
fof(f9377,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(sK45(X0,X1,X2),k2_pre_topc(X1)) = X2
& v4_pre_topc(sK45(X0,X1,X2),X0)
& m1_subset_1(sK45(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,[sK45]),skolemize(X4,sK45(X0,X1,X2))],[f9376]) ).
fof(f9378,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,[],[f6546]) ).
fof(f9379,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| m2_subset_1(sK46(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(X2,sK46(X0,X1))],[f6548]) ).
fof(f9380,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(f9381,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,[],[f6557]) ).
fof(f9382,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,[],[f9381]) ).
fof(f9383,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(sK47(X0,X1,X2),k1_zfmisc_1(X0))
& ( r2_hidden(sK47(X0,X1,X2),X1)
| r2_hidden(sK47(X0,X1,X2),X2) )
& ( ~ r2_hidden(sK47(X0,X1,X2),X1)
| ~ r2_hidden(sK47(X0,X1,X2),X2) ) )
| X1 = X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47]),skolemize(X3,sK47(X0,X1,X2))],[f9382]) ).
fof(f9384,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ( m1_subset_1(sK48(X0,X1),X0)
& ~ r2_hidden(sK48(X0,X1),X1) )
| X0 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48]),skolemize(X2,sK48(X0,X1))],[f6559]) ).
fof(f9385,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( m1_subset_1(sK49(X1,X2),X1)
& ~ r2_hidden(sK49(X1,X2),X2) )
| r1_tarski(X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(X3,sK49(X1,X2))],[f6561]) ).
fof(f9386,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ( m1_subset_1(sK50(X0,X1),X0)
& r2_hidden(sK50(X0,X1),X1) )
| k1_xboole_0 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(X2,sK50(X0,X1))],[f6563]) ).
fof(f9387,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,[],[f6565]) ).
fof(f9388,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,[],[f9387]) ).
fof(f9389,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( m1_subset_1(sK51(X0,X1,X2),X0)
& ( r2_hidden(sK51(X0,X1,X2),X1)
| r2_hidden(sK51(X0,X1,X2),X2) )
& ( ~ r2_hidden(sK51(X0,X1,X2),X1)
| ~ r2_hidden(sK51(X0,X1,X2),X2) ) )
| X1 = X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(X3,sK51(X0,X1,X2))],[f9388]) ).
fof(f9390,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( m1_subset_1(sK52(X0,X1,X2),X0)
& r2_hidden(sK52(X0,X1,X2),X1)
& ~ r2_hidden(sK52(X0,X1,X2),X2) )
| r1_tarski(X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(X3,sK52(X0,X1,X2))],[f6567]) ).
fof(f9391,plain,
! [X0] :
( v1_xboole_0(sK53(X0))
& m1_subset_1(sK53(X0),k1_zfmisc_1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53]),skolemize(X1,sK53(X0))],[f478]) ).
fof(f9392,plain,
! [X0] :
( v1_xboole_0(X0)
| ( ~ v1_xboole_0(sK54(X0))
& m1_subset_1(sK54(X0),k1_zfmisc_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54]),skolemize(X1,sK54(X0))],[f6568]) ).
fof(f9393,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(f9394,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,[],[f9393]) ).
fof(f9395,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(sK55(X0,X1),X1)
| r1_tarski(sK55(X0,X1),X0) )
& ( ~ r2_hidden(sK55(X0,X1),X1)
| ~ r1_tarski(sK55(X0,X1),X0) ) )
| X1 = k1_zfmisc_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(X2,sK55(X0,X1))],[f9394]) ).
fof(f9396,plain,
! [X1,X0] :
( ~ sP1(X1,X0)
| ( ( ~ v3_pre_topc(X1,X0)
| sP0(X0,X1) )
& ( ~ sP0(X0,X1)
| v3_pre_topc(X1,X0) ) ) ),
inference(nnf_transformation,[],[f9303]) ).
fof(f9397,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ( ( ~ v3_pre_topc(X0,X1)
| sP0(X1,X0) )
& ( ~ sP0(X1,X0)
| v3_pre_topc(X0,X1) ) ) ),
inference(rectify,[],[f9396]) ).
fof(f9401,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,[],[f6585]) ).
fof(f9402,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,[],[f9401]) ).
fof(f9403,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(sK59(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,sK59(X0,X1,X2))
& r2_hidden(X2,sK59(X0,X1,X2))
& v3_pre_topc(sK59(X0,X1,X2),X0) )
| r2_hidden(X2,k6_pre_topc(X0,X1)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59]),skolemize(X3,sK59(X0,X1,X2))],[f9402]) ).
fof(f9404,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,[],[f6588]) ).
fof(f9405,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,[],[f6589]) ).
fof(f9406,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( v4_pre_topc(sK60(X0),X0)
& v3_pre_topc(sK60(X0),X0)
& ~ v1_xboole_0(sK60(X0))
& m1_subset_1(sK60(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60]),skolemize(X1,sK60(X0))],[f6591]) ).
fof(f9407,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( v4_pre_topc(sK61(X0),X0)
& v3_pre_topc(sK61(X0),X0)
& m1_subset_1(sK61(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK61]),skolemize(X1,sK61(X0))],[f6593]) ).
fof(f9408,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( v3_pre_topc(sK62(X0),X0)
& m1_subset_1(sK62(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(X1,sK62(X0))],[f6599]) ).
fof(f9409,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,[],[f6603]) ).
fof(f9410,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,[],[f9409]) ).
fof(f9411,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,[],[f9410]) ).
fof(f9412,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(sK63(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,sK63(X0,X1,X2))
& r2_hidden(X2,sK63(X0,X1,X2))
& v3_pre_topc(sK63(X0,X1,X2),X0) )
| v3_struct_0(X0)
| r2_hidden(X2,k6_pre_topc(X0,X1)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK63]),skolemize(X3,sK63(X0,X1,X2))],[f9411]) ).
fof(f9413,plain,
! [X2,X1,X0] :
( ~ sP3(X2,X1,X0)
| ( ( k6_pre_topc(X0,X1) != X2
| sP2(X0,X1,X2) )
& ( ~ sP2(X0,X1,X2)
| X2 = k6_pre_topc(X0,X1) ) ) ),
inference(nnf_transformation,[],[f9306]) ).
fof(f9414,plain,
! [X0,X1,X2] :
( ~ sP3(X0,X1,X2)
| ( ( k6_pre_topc(X2,X1) != X0
| sP2(X2,X1,X0) )
& ( ~ sP2(X2,X1,X0)
| k6_pre_topc(X2,X1) = X0 ) ) ),
inference(rectify,[],[f9413]) ).
fof(f9419,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,[],[f6618]) ).
fof(f9420,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,[],[f9419]) ).
fof(f9421,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,sK67(X0,X1,X2))
& r1_tarski(sK67(X0,X1,X2),X2)
& v3_pre_topc(sK67(X0,X1,X2),X0)
& m1_subset_1(sK67(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,[sK67]),skolemize(X4,sK67(X0,X1,X2))],[f9420]) ).
fof(f9422,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,[],[f6657]) ).
fof(f9423,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,[],[f9422]) ).
fof(f9424,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(sK68(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,sK68(X0,X1,X2))
& v4_pre_topc(sK68(X0,X1,X2),X0)
& ~ r2_hidden(X2,sK68(X0,X1,X2)) )
| r2_hidden(X2,k6_pre_topc(X0,X1)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(X3,sK68(X0,X1,X2))],[f9423]) ).
fof(f9425,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,[],[f6678]) ).
fof(f9426,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,[],[f9425]) ).
fof(f9427,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(sK69(X0,X1,X2,X3),X0)
& ( r2_hidden(sK69(X0,X1,X2,X3),X1)
| r2_hidden(sK69(X0,X1,X2,X3),X3)
| r2_hidden(sK69(X0,X1,X2,X3),X2) )
& ( ~ r2_hidden(sK69(X0,X1,X2,X3),X1)
| ( ~ r2_hidden(sK69(X0,X1,X2,X3),X3)
& ~ r2_hidden(sK69(X0,X1,X2,X3),X2) ) ) )
| X1 = k4_subset_1(X0,X2,X3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(X4,sK69(X0,X1,X2,X3))],[f9426]) ).
fof(f9428,plain,
l1_struct_0(sK70),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70]),skolemize(X0,sK70)],[f4266]) ).
fof(f9429,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,[],[f6681]) ).
fof(f9430,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( ~ v1_xboole_0(sK71(X0))
& m1_subset_1(sK71(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71]),skolemize(X1,sK71(X0))],[f6683]) ).
fof(f9431,plain,
( ~ v3_struct_0(sK72)
& l1_struct_0(sK72) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72]),skolemize(X0,sK72)],[f4257]) ).
fof(f9432,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( v4_pre_topc(sK73(X0),X0)
& ~ v1_xboole_0(sK73(X0))
& m1_subset_1(sK73(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK73]),skolemize(X1,sK73(X0))],[f6689]) ).
fof(f9433,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( v4_pre_topc(sK74(X0),X0)
& m1_subset_1(sK74(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK74]),skolemize(X1,sK74(X0))],[f6691]) ).
fof(f9434,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( v1_funct_1(sK76(X0,X1))
& v1_relat_1(sK76(X0,X1))
& k2_xboole_0(X0,X1) = sK76(X0,X1) )
| ( r2_hidden(sK75(X0,X1),k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
& k1_funct_1(X0,sK75(X0,X1)) != k1_funct_1(X1,sK75(X0,X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK75,sK76]),skolemize(X2,sK75(X0,X1)),skolemize(X3,sK76(X0,X1))],[f6698]) ).
fof(f9435,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(sK78(X0,X1,X2,X3,X4),k3_xboole_0(X2,X4))
& r2_hidden(sK77(X0,X1,X2,X3,X4),k3_xboole_0(X1,X3))
& k4_tarski(sK77(X0,X1,X2,X3,X4),sK78(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,[sK77,sK78]),skolemize(X5,sK77(X0,X1,X2,X3,X4)),skolemize(X6,sK78(X0,X1,X2,X3,X4))],[f6710]) ).
fof(f9436,plain,
! [X0,X1,X2] :
( ( r1_tarski(sK79(X0,X1,X2),X2)
& r1_tarski(sK79(X0,X1,X2),X1)
& ~ r1_tarski(sK79(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,[sK79]),skolemize(X3,sK79(X0,X1,X2))],[f6721]) ).
fof(f9437,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(f9438,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,[],[f9437]) ).
fof(f9439,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,[],[f9438]) ).
fof(f9440,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(sK80(X0,X1,X2),X2)
| ( r2_hidden(sK80(X0,X1,X2),X1)
& r2_hidden(sK80(X0,X1,X2),X0) ) )
& ( ~ r2_hidden(sK80(X0,X1,X2),X2)
| ~ r2_hidden(sK80(X0,X1,X2),X1)
| ~ r2_hidden(sK80(X0,X1,X2),X0) ) )
| X2 = k3_xboole_0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80]),skolemize(X3,sK80(X0,X1,X2))],[f9439]) ).
fof(f9441,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_pre_topc(sK81(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK81]),skolemize(X1,sK81(X0))],[f6726]) ).
fof(f9442,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,[],[f6735]) ).
fof(f9443,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,[],[f6741]) ).
fof(f9444,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,[],[f9443]) ).
fof(f9445,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( m1_subset_1(sK82(X0,X1,X2),X0)
& ( ~ r2_hidden(sK82(X0,X1,X2),X1)
| r2_hidden(sK82(X0,X1,X2),X2) )
& ( ~ r2_hidden(sK82(X0,X1,X2),X2)
| r2_hidden(sK82(X0,X1,X2),X1) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82]),skolemize(X3,sK82(X0,X1,X2))],[f9444]) ).
fof(f9446,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,[],[f6743]) ).
fof(f9447,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,[],[f9446]) ).
fof(f9448,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( m1_subset_1(sK83(X0,X1,X2),X0)
& ( ~ r2_hidden(sK83(X0,X1,X2),X1)
| r2_hidden(sK83(X0,X1,X2),X2) )
& ( r2_hidden(sK83(X0,X1,X2),X1)
| ~ r2_hidden(sK83(X0,X1,X2),X2) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK83]),skolemize(X3,sK83(X0,X1,X2))],[f9447]) ).
fof(f9449,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,[],[f6745]) ).
fof(f9450,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,[],[f9449]) ).
fof(f9451,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( m1_subset_1(sK84(X0,X1,X2),X0)
& ( r2_hidden(sK84(X0,X1,X2),X1)
| ~ r2_hidden(sK84(X0,X1,X2),X2) )
& ( ~ r2_hidden(sK84(X0,X1,X2),X1)
| r2_hidden(sK84(X0,X1,X2),X2) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK84]),skolemize(X3,sK84(X0,X1,X2))],[f9450]) ).
fof(f9452,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,[],[f6752]) ).
fof(f9453,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,[],[f6753]) ).
fof(f9454,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,[],[f6760]) ).
fof(f9455,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(f9456,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,[],[f9455]) ).
fof(f9457,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,[],[f6796]) ).
fof(f9458,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,[],[f9457]) ).
fof(f9459,plain,
! [X0,X1] :
( ( ~ r1_tarski(X0,X1)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) )
& ( ( r2_hidden(sK85(X0,X1),X0)
& ~ r2_hidden(sK85(X0,X1),X1) )
| r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK85]),skolemize(X2,sK85(X0,X1))],[f9458]) ).
fof(f9460,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,[],[f6818]) ).
fof(f9461,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,[],[f9460]) ).
fof(f9462,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(sK86(X0,X1,X2,X3),X0)
& ( r2_hidden(sK86(X0,X1,X2,X3),X1)
| ( r2_hidden(sK86(X0,X1,X2,X3),X3)
& r2_hidden(sK86(X0,X1,X2,X3),X2) ) )
& ( ~ r2_hidden(sK86(X0,X1,X2,X3),X1)
| ~ r2_hidden(sK86(X0,X1,X2,X3),X3)
| ~ r2_hidden(sK86(X0,X1,X2,X3),X2) ) )
| X1 = k5_subset_1(X0,X2,X3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK86]),skolemize(X4,sK86(X0,X1,X2,X3))],[f9461]) ).
fof(f9463,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,[],[f6826]) ).
fof(f9464,plain,
! [X0,X1] :
( ( ! [X3] :
( ~ r2_hidden(X3,sK87(X1))
| ~ r2_hidden(X3,X1) )
& r2_hidden(sK87(X1),X1) )
| ~ r2_hidden(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87]),skolemize(X2,sK87(X1))],[f6828]) ).
fof(f9465,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,[],[f6829]) ).
fof(f9466,plain,
! [X0,X1] :
( ( ( r2_hidden(sK88(X0,X1),X0)
| r2_hidden(sK88(X0,X1),X1) )
& ( ~ r2_hidden(sK88(X0,X1),X0)
| ~ r2_hidden(sK88(X0,X1),X1) ) )
| X0 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK88]),skolemize(X2,sK88(X0,X1))],[f9465]) ).
fof(f9467,plain,
( v1_funct_1(sK89)
& v1_xboole_0(sK89)
& v1_relat_1(sK89) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89]),skolemize(X0,sK89)],[f918]) ).
fof(f9468,plain,
( v1_relat_1(sK90)
& ~ v1_xboole_0(sK90) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK90]),skolemize(X0,sK90)],[f686]) ).
fof(f9469,plain,
( v1_relat_1(sK91)
& v1_xboole_0(sK91) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK91]),skolemize(X0,sK91)],[f680]) ).
fof(f9470,plain,
! [X0] :
( ( ~ v1_xboole_0(X0)
| X0 = k1_xboole_0 )
& ( k1_xboole_0 != X0
| v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f9471,plain,
~ v1_xboole_0(sK92),
inference(skolemize,[status(esa),new_symbols(skolem,[sK92]),skolemize(X0,sK92)],[f26]) ).
fof(f9472,plain,
v1_xboole_0(sK93),
inference(skolemize,[status(esa),new_symbols(skolem,[sK93]),skolemize(X0,sK93)],[f25]) ).
fof(f9476,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)
| ( sP4(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) ) ) ) )
& ( ~ sP4(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,[],[f9309]) ).
fof(f9477,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)
| ( sP4(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) ) ) ) )
& ( ~ sP4(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,[],[f9476]) ).
fof(f9478,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)
| ( sP4(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) ) ) ) )
& ( ~ sP4(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,[],[f9477]) ).
fof(f9479,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)
| ( sP4(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) ) ) ) )
& ( ~ sP4(X1,X0)
| ( m1_subset_1(sK96(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK97(X0,X1),u1_struct_0(X0))
& r2_hidden(sK97(X0,X1),X1)
& r2_hidden(sK96(X0,X1),X1)
& ~ r2_hidden(k4_lattices(X0,sK96(X0,X1),sK97(X0,X1)),X1) )
| m1_filter_0(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK96,sK97]),skolemize(X2,sK96(X0,X1)),skolemize(X3,sK97(X0,X1))],[f9478]) ).
fof(f9480,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,[],[f6840]) ).
fof(f9481,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,[],[f9480]) ).
fof(f9482,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,[],[f9481]) ).
fof(f9483,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(sK98(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK99(X0,X1),u1_struct_0(X0))
& ( ( r2_hidden(sK99(X0,X1),X1)
& r2_hidden(sK98(X0,X1),X1) )
| r2_hidden(k4_lattices(X0,sK98(X0,X1),sK99(X0,X1)),X1) )
& ( ~ r2_hidden(sK99(X0,X1),X1)
| ~ r2_hidden(sK98(X0,X1),X1)
| ~ r2_hidden(k4_lattices(X0,sK98(X0,X1),sK99(X0,X1)),X1) ) )
| m1_filter_0(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK98,sK99]),skolemize(X2,sK98(X0,X1)),skolemize(X3,sK99(X0,X1))],[f9482]) ).
fof(f9484,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,[],[f6848]) ).
fof(f9485,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,[],[f9484]) ).
fof(f9486,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( ( m1_subset_1(sK103(X0),u1_struct_0(X0))
& m1_subset_1(sK104(X0),u1_struct_0(X0))
& m1_subset_1(sK105(X0),u1_struct_0(X0))
& k4_lattices(X0,sK103(X0),k3_lattices(X0,sK104(X0),sK105(X0))) != k3_lattices(X0,k4_lattices(X0,sK103(X0),sK104(X0)),k4_lattices(X0,sK103(X0),sK105(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(sK100(X0),u1_struct_0(X0))
& m1_subset_1(sK101(X0),u1_struct_0(X0))
& m1_subset_1(sK102(X0),u1_struct_0(X0))
& k3_lattices(X0,sK100(X0),k4_lattices(X0,sK101(X0),sK102(X0))) != k4_lattices(X0,k3_lattices(X0,sK100(X0),sK101(X0)),k3_lattices(X0,sK100(X0),sK102(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,[sK100,sK101,sK102,sK103,sK104,sK105]),skolemize(X4,sK100(X0)),skolemize(X5,sK101(X0)),skolemize(X6,sK102(X0)),skolemize(X10,sK103(X0)),skolemize(X11,sK104(X0)),skolemize(X12,sK105(X0))],[f9485]) ).
fof(f9487,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(f9488,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,[],[f9487]) ).
fof(f9489,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(f9490,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,[],[f9489]) ).
fof(f9491,plain,
! [X0,X1,X2] :
( ( r1_tarski(X2,sK106(X0,X1,X2))
& r1_tarski(X0,sK106(X0,X1,X2))
& ~ r1_tarski(X1,sK106(X0,X1,X2)) )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| X1 = k2_xboole_0(X0,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK106]),skolemize(X3,sK106(X0,X1,X2))],[f6872]) ).
fof(f9492,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(f9493,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,[],[f9492]) ).
fof(f9494,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,[],[f9493]) ).
fof(f9495,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(sK107(X0,X1,X2),X2)
| r2_hidden(sK107(X0,X1,X2),X1)
| r2_hidden(sK107(X0,X1,X2),X0) )
& ( ~ r2_hidden(sK107(X0,X1,X2),X2)
| ( ~ r2_hidden(sK107(X0,X1,X2),X1)
& ~ r2_hidden(sK107(X0,X1,X2),X0) ) ) )
| X2 = k2_xboole_0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK107]),skolemize(X3,sK107(X0,X1,X2))],[f9494]) ).
fof(f9499,plain,
! [X2,X0,X1] :
( ~ sP6(X2,X0,X1)
| ( ( k8_filter_0(X0,X1) != X2
| sP5(X1,X0,X2) )
& ( ~ sP5(X1,X0,X2)
| X2 = k8_filter_0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f9311]) ).
fof(f9500,plain,
! [X0,X1,X2] :
( ~ sP6(X0,X1,X2)
| ( ( k8_filter_0(X1,X2) != X0
| sP5(X2,X1,X0) )
& ( ~ sP5(X2,X1,X0)
| k8_filter_0(X1,X2) = X0 ) ) ),
inference(rectify,[],[f9499]) ).
fof(f9504,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| ( ( k4_lopclset(X0) != X1
| ! [X2] :
( ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ! [X3] :
( ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X2,X3) = k2_lopclset(X0,X2,X3) ) ) )
& ( ? [X2] :
( m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
& ? [X3] :
( m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
& k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X2,X3) != k2_lopclset(X0,X2,X3) ) )
| X1 = k4_lopclset(X0) ) ) ) ),
inference(nnf_transformation,[],[f6915]) ).
fof(f9505,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| ( ( k4_lopclset(X0) != X1
| ! [X4] :
( ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ! [X5] :
( ~ m2_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X4,X5) = k2_lopclset(X0,X4,X5) ) ) )
& ( ? [X2] :
( m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
& ? [X3] :
( m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
& k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X2,X3) != k2_lopclset(X0,X2,X3) ) )
| X1 = k4_lopclset(X0) ) ) ) ),
inference(rectify,[],[f9504]) ).
fof(f9506,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| ( ( k4_lopclset(X0) != X1
| ! [X4] :
( ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ! [X5] :
( ~ m2_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X4,X5) = k2_lopclset(X0,X4,X5) ) ) )
& ( ( m2_subset_1(sK111(X0,X1),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
& m2_subset_1(sK112(X0,X1),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
& k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,sK111(X0,X1),sK112(X0,X1)) != k2_lopclset(X0,sK111(X0,X1),sK112(X0,X1)) )
| X1 = k4_lopclset(X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK111,sK112]),skolemize(X2,sK111(X0,X1)),skolemize(X3,sK112(X0,X1))],[f9505]) ).
fof(f9507,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| ( ( k5_lopclset(X0) != X1
| ! [X2] :
( ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ! [X3] :
( ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X2,X3) = k3_lopclset(X0,X2,X3) ) ) )
& ( ? [X2] :
( m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
& ? [X3] :
( m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
& k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X2,X3) != k3_lopclset(X0,X2,X3) ) )
| X1 = k5_lopclset(X0) ) ) ) ),
inference(nnf_transformation,[],[f6919]) ).
fof(f9508,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| ( ( k5_lopclset(X0) != X1
| ! [X4] :
( ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ! [X5] :
( ~ m2_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X4,X5) = k3_lopclset(X0,X4,X5) ) ) )
& ( ? [X2] :
( m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
& ? [X3] :
( m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
& k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X2,X3) != k3_lopclset(X0,X2,X3) ) )
| X1 = k5_lopclset(X0) ) ) ) ),
inference(rectify,[],[f9507]) ).
fof(f9509,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| ( ( k5_lopclset(X0) != X1
| ! [X4] :
( ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ! [X5] :
( ~ m2_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X4,X5) = k3_lopclset(X0,X4,X5) ) ) )
& ( ( m2_subset_1(sK113(X0,X1),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
& m2_subset_1(sK114(X0,X1),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
& k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,sK113(X0,X1),sK114(X0,X1)) != k3_lopclset(X0,sK113(X0,X1),sK114(X0,X1)) )
| X1 = k5_lopclset(X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK113,sK114]),skolemize(X2,sK113(X0,X1)),skolemize(X3,sK114(X0,X1))],[f9508]) ).
fof(f9510,plain,
l3_lattices(sK115),
inference(skolemize,[status(esa),new_symbols(skolem,[sK115]),skolemize(X0,sK115)],[f4580]) ).
fof(f9511,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(sK116(X0,X1),X3),X1) )
& m2_relset_1(sK116(X0,X1),k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(sK116(X0,X1),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK116(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK116]),skolemize(X2,sK116(X0,X1))],[f6922]) ).
fof(f9512,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(sK117(X0,X1),sK117(X0,X1)))
| r2_hidden(k1_funct_1(X1,X3),sK117(X0,X1)) )
& m1_subset_1(sK117(X0,X1),k1_zfmisc_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK117]),skolemize(X2,sK117(X0,X1))],[f6924]) ).
fof(f9513,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(f9514,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,[],[f9513]) ).
fof(f9515,plain,
! [X0,X1] : m2_relset_1(sK118(X0,X1),X0,X1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK118]),skolemize(X2,sK118(X0,X1))],[f1317]) ).
fof(f9516,plain,
( v1_funct_1(sK119)
& v1_relat_1(sK119) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK119]),skolemize(X0,sK119)],[f914]) ).
fof(f9517,plain,
! [X0] :
( ( v1_funct_1(sK120(X0))
& v1_relat_1(sK120(X0))
& v1_funct_1(sK121(X0))
& v1_relat_1(sK121(X0))
& k1_relat_1(sK121(X0)) = X0
& k1_relat_1(sK120(X0)) = X0
& sK120(X0) != sK121(X0) )
| X0 = k1_xboole_0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK120,sK121]),skolemize(X1,sK120(X0)),skolemize(X2,sK121(X0))],[f6951]) ).
fof(f9518,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(f9519,plain,
! [X0] :
( ( k1_xboole_0 != X0
| ! [X2] : ~ r2_hidden(X2,X0) )
& ( ? [X1] : r2_hidden(X1,X0)
| X0 = k1_xboole_0 ) ),
inference(rectify,[],[f9518]) ).
fof(f9520,plain,
! [X0] :
( ( k1_xboole_0 != X0
| ! [X2] : ~ r2_hidden(X2,X0) )
& ( r2_hidden(sK122(X0),X0)
| X0 = k1_xboole_0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK122]),skolemize(X1,sK122(X0))],[f9519]) ).
fof(f9521,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,[],[f6953]) ).
fof(f9522,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,[],[f9521]) ).
fof(f9523,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(sK123(X0,X1))
& r2_hidden(sK123(X0,X1),X1)
& r2_hidden(sK123(X0,X1),X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK123]),skolemize(X2,sK123(X0,X1))],[f9522]) ).
fof(f9524,plain,
! [X0] :
( ( ! [X2,X3,X4,X5,X6] :
( ~ r2_hidden(X6,sK124(X0))
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(sK124(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK124]),skolemize(X1,sK124(X0))],[f6955]) ).
fof(f9525,plain,
! [X0] :
( ( ! [X2,X3,X4,X5] :
( ~ r2_hidden(X5,sK125(X0))
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(sK125(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK125]),skolemize(X1,sK125(X0))],[f6957]) ).
fof(f9526,plain,
! [X0] :
( ( ! [X2,X3,X4] :
( ~ r2_hidden(X4,sK126(X0))
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(sK126(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK126]),skolemize(X1,sK126(X0))],[f6959]) ).
fof(f9527,plain,
! [X0] :
( ( ! [X2,X3] :
( ~ r2_hidden(X3,sK127(X0))
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(sK127(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK127]),skolemize(X1,sK127(X0))],[f6961]) ).
fof(f9528,plain,
! [X0] :
( ( ! [X2] :
( ~ r2_hidden(X2,sK128(X0))
| r1_xboole_0(X2,X0) )
& r2_hidden(sK128(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK128]),skolemize(X1,sK128(X0))],[f6962]) ).
fof(f9529,plain,
! [X0] :
( ( r1_xboole_0(sK129(X0),X0)
& r2_hidden(sK129(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK129]),skolemize(X1,sK129(X0))],[f6963]) ).
fof(f9530,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,[],[f6967]) ).
fof(f9531,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,[],[f6968]) ).
fof(f9532,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,[],[f6969]) ).
fof(f9533,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(f9534,plain,
! [X0,X1] :
( ( ~ r1_xboole_0(X0,X1)
| ! [X3] : ~ r2_hidden(X3,k3_xboole_0(X0,X1)) )
& ( r2_hidden(sK130(X0,X1),k3_xboole_0(X0,X1))
| r1_xboole_0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK130]),skolemize(X2,sK130(X0,X1))],[f7016]) ).
fof(f9535,plain,
! [X0,X1] :
( ( ~ r1_xboole_0(X0,X1)
| ! [X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
& ( ( r2_hidden(sK131(X0,X1),X1)
& r2_hidden(sK131(X0,X1),X0) )
| r1_xboole_0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK131]),skolemize(X2,sK131(X0,X1))],[f7017]) ).
fof(f9536,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(f9537,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,[],[f7021]) ).
fof(f9538,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,[],[f7023]) ).
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,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,[],[f7032]) ).
fof(f9540,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,[],[f9539]) ).
fof(f9541,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(sK132(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& r2_hidden(X2,sK132(X0,X1,X2))
& v3_pre_topc(sK132(X0,X1,X2),X0)
& ( r1_xboole_0(k3_subset_1(u1_struct_0(X0),X1),sK132(X0,X1,X2))
| r1_xboole_0(X1,sK132(X0,X1,X2)) ) )
| r2_hidden(X2,k2_tops_1(X0,X1)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK132]),skolemize(X3,sK132(X0,X1,X2))],[f9540]) ).
fof(f9542,plain,
l1_group_1(sK133),
inference(skolemize,[status(esa),new_symbols(skolem,[sK133]),skolemize(X0,sK133)],[f5109]) ).
fof(f9543,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ( m1_subset_1(sK134(X0,X1),X0)
& r2_hidden(sK134(X0,X1),X1) )
| k1_xboole_0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK134]),skolemize(X2,sK134(X0,X1))],[f7034]) ).
fof(f9544,plain,
! [X0] :
( v1_xboole_0(X0)
| ( v1_finset_1(sK135(X0))
& ~ v1_xboole_0(sK135(X0))
& m1_subset_1(sK135(X0),k5_finsub_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK135]),skolemize(X1,sK135(X0))],[f7037]) ).
fof(f9545,plain,
! [X0] :
( v1_finset_1(sK136(X0))
& v1_xboole_0(sK136(X0))
& m1_subset_1(sK136(X0),k5_finsub_1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK136]),skolemize(X1,sK136(X0))],[f2430]) ).
fof(f9546,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(f9547,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,[],[f9546]) ).
fof(f9548,plain,
! [X0] :
( ( ~ v1_finset_1(X0)
| ( k1_card_1(X0) = k1_card_1(sK137(X0))
& m2_subset_1(sK137(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,[sK137]),skolemize(X2,sK137(X0))],[f9547]) ).
fof(f9549,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(f9550,plain,
( v1_finset_1(sK138)
& v1_funct_1(sK138)
& v1_relat_1(sK138)
& ~ v1_xboole_0(sK138) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK138]),skolemize(X0,sK138)],[f3242]) ).
fof(f9551,plain,
( v1_finset_1(sK139)
& v2_funct_1(sK139)
& v1_funct_1(sK139)
& v1_relat_1(sK139)
& v1_xboole_0(sK139) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK139]),skolemize(X0,sK139)],[f3241]) ).
fof(f9552,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,[],[f7051]) ).
fof(f9553,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(f9554,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ( ! [X3] :
( ~ r1_tarski(sK140(X1),X3)
| ~ r2_hidden(X3,X1)
| sK140(X1) = X3 )
& r2_hidden(sK140(X1),X1) )
| k1_xboole_0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK140]),skolemize(X2,sK140(X1))],[f7061]) ).
fof(f9555,plain,
! [X0] :
( v1_xboole_0(X0)
| ( v1_finset_1(sK141(X0))
& ~ v1_xboole_0(sK141(X0))
& m1_subset_1(sK141(X0),k1_zfmisc_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK141]),skolemize(X1,sK141(X0))],[f7065]) ).
fof(f9556,plain,
! [X0] :
( v1_xboole_0(X0)
| ( v1_finset_1(sK142(X0))
& ~ v1_xboole_0(sK142(X0))
& m1_subset_1(sK142(X0),k1_zfmisc_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK142]),skolemize(X1,sK142(X0))],[f7070]) ).
fof(f9557,plain,
( v1_finset_1(sK143)
& ~ v1_xboole_0(sK143) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK143]),skolemize(X0,sK143)],[f2314]) ).
fof(f9558,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( r2_hidden(sK144(X0,X1,X2),X0)
& ~ r2_hidden(k1_funct_1(X2,sK144(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,[sK144]),skolemize(X3,sK144(X0,X1,X2))],[f7073]) ).
fof(f9559,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ! [X3] :
( k1_funct_1(X1,X3) != sK145(X0,X1)
| ~ r2_hidden(X3,k1_relat_1(X1)) )
& r2_hidden(sK145(X0,X1),X0) )
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK145]),skolemize(X2,sK145(X0,X1))],[f7094]) ).
fof(f9560,plain,
! [X0,X1] :
( ( v1_funct_1(sK146(X0,X1))
& v1_relat_1(sK146(X0,X1))
& r1_tarski(k2_relat_1(sK146(X0,X1)),X0)
& k1_relat_1(sK146(X0,X1)) = X1 )
| ( X1 != k1_xboole_0
& X0 = k1_xboole_0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK146]),skolemize(X2,sK146(X0,X1))],[f7096]) ).
fof(f9561,plain,
! [X0] :
( k1_xboole_0 = X0
| ! [X1] :
( k1_tarski(X1) = k2_relat_1(sK147(X0,X1))
& k1_relat_1(sK147(X0,X1)) = X0
& v1_funct_1(sK147(X0,X1))
& v1_relat_1(sK147(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK147]),skolemize(X2,sK147(X0,X1))],[f7099]) ).
fof(f9562,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,[],[f7105]) ).
fof(f9563,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,[],[f9562]) ).
fof(f9564,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,sK150(X0,X5)) = X5
& r2_hidden(sK150(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(sK148(X0,X1),X1)
| ( sK148(X0,X1) = k1_funct_1(X0,sK149(X0,X1))
& r2_hidden(sK149(X0,X1),k1_relat_1(X0)) ) )
& ( ~ r2_hidden(sK148(X0,X1),X1)
| ! [X3] :
( k1_funct_1(X0,X3) != sK148(X0,X1)
| ~ r2_hidden(X3,k1_relat_1(X0)) ) ) )
| X1 = k2_relat_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK148,sK149,sK150]),skolemize(X2,sK148(X0,X1)),skolemize(X4,sK149(X0,X1)),skolemize(X7,sK150(X0,X5))],[f9563]) ).
fof(f9565,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( r2_hidden(sK151(X0,X1),k1_relat_1(X0))
& k1_funct_1(X0,sK151(X0,X1)) != k1_funct_1(X1,sK151(X0,X1)) )
| k1_relat_1(X0) != k1_relat_1(X1)
| X0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK151]),skolemize(X2,sK151(X0,X1))],[f7107]) ).
fof(f9566,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,[],[f7108]) ).
fof(f9567,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK152(X1),k1_relat_1(X1))
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK152]),skolemize(X2,sK152(X1))],[f7115]) ).
fof(f9568,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK153(X1),k2_relat_1(X1))
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK153]),skolemize(X2,sK153(X1))],[f7117]) ).
fof(f9569,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ( r2_hidden(sK155(X0,X1,X2,X3),X1)
& r2_hidden(sK154(X0,X1,X2,X3),X0)
& k1_funct_1(X2,k4_tarski(sK154(X0,X1,X2,X3),sK155(X0,X1,X2,X3))) != k1_funct_1(X3,k4_tarski(sK154(X0,X1,X2,X3),sK155(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,[sK154,sK155]),skolemize(X4,sK154(X0,X1,X2,X3)),skolemize(X5,sK155(X0,X1,X2,X3))],[f7122]) ).
fof(f9570,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(sK156(X0,X1,X3,X4),X0)
& m1_subset_1(sK157(X0,X1,X3,X4),X1)
& k1_funct_1(X3,k4_tarski(sK156(X0,X1,X3,X4),sK157(X0,X1,X3,X4))) != k1_funct_1(X4,k4_tarski(sK156(X0,X1,X3,X4),sK157(X0,X1,X3,X4))) )
| X3 = X4 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK156,sK157]),skolemize(X5,sK156(X0,X1,X3,X4)),skolemize(X6,sK157(X0,X1,X3,X4))],[f7124]) ).
fof(f9571,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(sK159(X0,X1,X3,X4),X1)
& r2_hidden(sK158(X0,X1,X3,X4),X0)
& k1_funct_1(X3,k4_tarski(sK158(X0,X1,X3,X4),sK159(X0,X1,X3,X4))) != k1_funct_1(X4,k4_tarski(sK158(X0,X1,X3,X4),sK159(X0,X1,X3,X4))) )
| X3 = X4 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK158,sK159]),skolemize(X5,sK158(X0,X1,X3,X4)),skolemize(X6,sK159(X0,X1,X3,X4))],[f7128]) ).
fof(f9572,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(sK160(X0,X2,X3),X0)
& k1_funct_1(X3,sK160(X0,X2,X3)) != k1_funct_1(X2,sK160(X0,X2,X3)) )
| X2 = X3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK160]),skolemize(X4,sK160(X0,X2,X3))],[f7130]) ).
fof(f9573,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(sK161(X0,X2,X3),X0)
& k1_funct_1(X3,sK161(X0,X2,X3)) != k1_funct_1(X2,sK161(X0,X2,X3)) )
| X2 = X3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK161]),skolemize(X4,sK161(X0,X2,X3))],[f7138]) ).
fof(f9574,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,sK162(X0,X2,X3)) = X2
& r2_hidden(sK162(X0,X2,X3),X0) )
| k2_relat_1(X3) != X1
| ~ r2_hidden(X2,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK162]),skolemize(X4,sK162(X0,X2,X3))],[f7140]) ).
fof(f9575,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) != sK163(X0,X1,X2)
| ~ r2_hidden(X4,X0) )
& r2_hidden(sK163(X0,X1,X2),X1) )
| k2_relat_1(X2) = X1
| X1 = k1_xboole_0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK163]),skolemize(X3,sK163(X0,X1,X2))],[f7142]) ).
fof(f9576,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,[],[f7150]) ).
fof(f9577,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,[],[f9576]) ).
fof(f9578,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,[],[f7152]) ).
fof(f9579,plain,
! [X0] :
( ~ sP8(X0)
| ( ( ~ v2_funct_1(X0)
| sP7(X0) )
& ( ~ sP7(X0)
| v2_funct_1(X0) ) ) ),
inference(nnf_transformation,[],[f9314]) ).
fof(f9583,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( v1_funct_1(sK166(X0,X1))
& v1_relat_1(sK166(X0,X1))
& v1_funct_1(sK167(X0,X1))
& v1_relat_1(sK167(X0,X1))
& k5_relat_1(X1,sK166(X0,X1)) = k5_relat_1(X1,sK167(X0,X1))
& k1_relat_1(sK167(X0,X1)) = X0
& k1_relat_1(sK166(X0,X1)) = X0
& sK166(X0,X1) != sK167(X0,X1) )
| ~ r1_tarski(k2_relat_1(X1),X0)
| X0 = k2_relat_1(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK166,sK167]),skolemize(X2,sK166(X0,X1)),skolemize(X3,sK167(X0,X1))],[f7184]) ).
fof(f9584,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,[],[f7194]) ).
fof(f9585,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,[],[f9584]) ).
fof(f9586,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,[],[f7196]) ).
fof(f9587,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,[],[f9586]) ).
fof(f9588,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(sK169(X0,X1,X2),k1_relat_1(X2))
& k1_funct_1(X2,sK169(X0,X1,X2)) != k1_funct_1(X1,k1_funct_1(X0,sK169(X0,X1,X2))) )
| ( ( r2_hidden(sK168(X0,X1,X2),k1_relat_1(X2))
| ( r2_hidden(k1_funct_1(X0,sK168(X0,X1,X2)),k1_relat_1(X1))
& r2_hidden(sK168(X0,X1,X2),k1_relat_1(X0)) ) )
& ( ~ r2_hidden(sK168(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,sK168(X0,X1,X2)),k1_relat_1(X1))
| ~ r2_hidden(sK168(X0,X1,X2),k1_relat_1(X0)) ) )
| X2 = k5_relat_1(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK168,sK169]),skolemize(X3,sK168(X0,X1,X2)),skolemize(X4,sK169(X0,X1,X2))],[f9587]) ).
fof(f9589,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,[],[f7224]) ).
fof(f9590,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,[],[f9589]) ).
fof(f9591,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(sK173(X0,X1,X7,X8),X8),X1)
& r2_hidden(k4_tarski(X7,sK173(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(sK170(X0,X1,X2),sK171(X0,X1,X2)),X2)
| ( r2_hidden(k4_tarski(sK172(X0,X1,X2),sK171(X0,X1,X2)),X1)
& r2_hidden(k4_tarski(sK170(X0,X1,X2),sK172(X0,X1,X2)),X0) ) )
& ( ~ r2_hidden(k4_tarski(sK170(X0,X1,X2),sK171(X0,X1,X2)),X2)
| ! [X5] :
( ~ r2_hidden(k4_tarski(X5,sK171(X0,X1,X2)),X1)
| ~ r2_hidden(k4_tarski(sK170(X0,X1,X2),X5),X0) ) ) )
| X2 = k5_relat_1(X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK170,sK171,sK172,sK173]),skolemize(X3,sK170(X0,X1,X2)),skolemize(X4,sK171(X0,X1,X2)),skolemize(X6,sK172(X0,X1,X2)),skolemize(X10,sK173(X0,X1,X7,X8))],[f9590]) ).
fof(f9592,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,[],[f7242]) ).
fof(f9593,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,[],[f9592]) ).
fof(f9594,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ( k2_relat_1(X0) != X1
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| r2_hidden(k4_tarski(sK176(X0,X5),X5),X0) )
& ( ! [X6] : ~ r2_hidden(k4_tarski(X6,X5),X0)
| r2_hidden(X5,X1) ) ) )
& ( ( ( r2_hidden(sK174(X0,X1),X1)
| r2_hidden(k4_tarski(sK175(X0,X1),sK174(X0,X1)),X0) )
& ( ~ r2_hidden(sK174(X0,X1),X1)
| ! [X3] : ~ r2_hidden(k4_tarski(X3,sK174(X0,X1)),X0) ) )
| X1 = k2_relat_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK174,sK175,sK176]),skolemize(X2,sK174(X0,X1)),skolemize(X4,sK175(X0,X1)),skolemize(X7,sK176(X0,X5))],[f9593]) ).
fof(f9595,plain,
! [X0,X1,X2,X3] :
( ( m1_subset_1(sK177(X0,X1,X3),X0)
& m1_subset_1(sK178(X0,X1,X3),X1)
& k4_tarski(sK177(X0,X1,X3),sK178(X0,X1,X3)) = X3 )
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X3,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK177,sK178]),skolemize(X4,sK177(X0,X1,X3)),skolemize(X5,sK178(X0,X1,X3))],[f7246]) ).
fof(f9596,plain,
! [X0] :
( r1_tarski(X0,k2_zfmisc_1(sK180(X0),sK181(X0)))
| ( ! [X2,X3] : k4_tarski(X2,X3) != sK179(X0)
& r2_hidden(sK179(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK179,sK180,sK181]),skolemize(X1,sK179(X0)),skolemize(X4,sK180(X0)),skolemize(X5,sK181(X0))],[f7247]) ).
fof(f9597,plain,
! [X0] :
( ( ! [X2,X3] :
( k4_tarski(X2,X3) != sK182(X0)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X2,X0) ) )
& r2_hidden(sK182(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK182]),skolemize(X1,sK182(X0))],[f7248]) ).
fof(f9598,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ( r2_hidden(sK184(X0,X1,X2),X1)
& r2_hidden(sK183(X0,X1,X2),X0)
& k4_tarski(sK183(X0,X1,X2),sK184(X0,X1,X2)) = X2 )
| ~ r2_hidden(X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK183,sK184]),skolemize(X4,sK183(X0,X1,X2)),skolemize(X5,sK184(X0,X1,X2))],[f7252]) ).
fof(f9602,plain,
! [X0] :
( sP9(X0)
| ( ! [X2,X3] : k4_tarski(X2,X3) != sK188(X0)
& r2_hidden(sK188(X0),X0) )
| ( v1_funct_1(X0)
& v1_relat_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK188]),skolemize(X1,sK188(X0))],[f9317]) ).
fof(f9603,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,[],[f7256]) ).
fof(f9604,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,[],[f9603]) ).
fof(f9605,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(sK189(X0),sK191(X0)),X0)
& r2_hidden(k4_tarski(sK189(X0),sK190(X0)),X0)
& sK190(X0) != sK191(X0) )
| v1_funct_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK189,sK190,sK191]),skolemize(X1,sK189(X0)),skolemize(X2,sK190(X0)),skolemize(X3,sK191(X0))],[f9604]) ).
fof(f9606,plain,
! [X0] :
( ~ v1_relat_1(X0)
| r2_hidden(k4_tarski(sK192(X0),sK193(X0)),X0)
| X0 = k1_xboole_0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK192,sK193]),skolemize(X1,sK192(X0)),skolemize(X2,sK193(X0))],[f7258]) ).
fof(f9607,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,[],[f7259]) ).
fof(f9608,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,[],[f9607]) ).
fof(f9609,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ( k1_relat_1(X0) != X1
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| r2_hidden(k4_tarski(X5,sK196(X0,X5)),X0) )
& ( ! [X6] : ~ r2_hidden(k4_tarski(X5,X6),X0)
| r2_hidden(X5,X1) ) ) )
& ( ( ( r2_hidden(sK194(X0,X1),X1)
| r2_hidden(k4_tarski(sK194(X0,X1),sK195(X0,X1)),X0) )
& ( ~ r2_hidden(sK194(X0,X1),X1)
| ! [X3] : ~ r2_hidden(k4_tarski(sK194(X0,X1),X3),X0) ) )
| X1 = k1_relat_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK194,sK195,sK196]),skolemize(X2,sK194(X0,X1)),skolemize(X4,sK195(X0,X1)),skolemize(X7,sK196(X0,X5))],[f9608]) ).
fof(f9610,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,[],[f7260]) ).
fof(f9611,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,[],[f9610]) ).
fof(f9612,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(sK197(X0,X1),sK198(X0,X1)),X0)
& ~ r2_hidden(k4_tarski(sK197(X0,X1),sK198(X0,X1)),X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK197,sK198]),skolemize(X2,sK197(X0,X1)),skolemize(X3,sK198(X0,X1))],[f9611]) ).
fof(f9613,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,[],[f7261]) ).
fof(f9614,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,[],[f9613]) ).
fof(f9615,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(sK199(X0,X1),sK200(X0,X1)),X0)
| r2_hidden(k4_tarski(sK199(X0,X1),sK200(X0,X1)),X1) )
& ( ~ r2_hidden(k4_tarski(sK199(X0,X1),sK200(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK199(X0,X1),sK200(X0,X1)),X1) ) )
| X0 = X1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK199,sK200]),skolemize(X2,sK199(X0,X1)),skolemize(X3,sK200(X0,X1))],[f9614]) ).
fof(f9616,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,[],[f7262]) ).
fof(f9617,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,[],[f9616]) ).
fof(f9618,plain,
! [X0] :
( ( ~ v1_relat_1(X0)
| ! [X4] :
( k4_tarski(sK202(X4),sK203(X4)) = X4
| ~ r2_hidden(X4,X0) ) )
& ( ( ! [X2,X3] : k4_tarski(X2,X3) != sK201(X0)
& r2_hidden(sK201(X0),X0) )
| v1_relat_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK201,sK202,sK203]),skolemize(X1,sK201(X0)),skolemize(X5,sK202(X4)),skolemize(X6,sK203(X4))],[f9617]) ).
fof(f9619,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(f9620,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,[],[f9619]) ).
fof(f9621,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(f9622,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,[],[f9621]) ).
fof(f9623,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,[],[f7264]) ).
fof(f9624,plain,
! [X0,X1] :
( ( ( r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X0)
| r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X1) )
& ( ~ r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X1) ) )
| ( ! [X6,X7] : k4_tarski(X6,X7) != sK205(X1)
& r2_hidden(sK205(X1),X1) )
| ( ! [X3,X4] : k4_tarski(X3,X4) != sK204(X0)
& r2_hidden(sK204(X0),X0) )
| X0 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK204,sK205,sK206,sK207]),skolemize(X2,sK204(X0)),skolemize(X5,sK205(X1)),skolemize(X8,sK206(X0,X1)),skolemize(X9,sK207(X0,X1))],[f9623]) ).
fof(f9625,plain,
! [X0,X1] :
( ( r2_hidden(k4_tarski(sK209(X0,X1),sK210(X0,X1)),X0)
& ~ r2_hidden(k4_tarski(sK209(X0,X1),sK210(X0,X1)),X1) )
| ( ! [X3,X4] : k4_tarski(X3,X4) != sK208(X0)
& r2_hidden(sK208(X0),X0) )
| r1_tarski(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK208,sK209,sK210]),skolemize(X2,sK208(X0)),skolemize(X5,sK209(X0,X1)),skolemize(X6,sK210(X0,X1))],[f7266]) ).
fof(f9626,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,[],[f7268]) ).
fof(f9627,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( r2_hidden(k4_tarski(sK211(X0,X3),sK212(X0,X3)),X0)
| r2_hidden(k4_tarski(sK211(X0,X3),sK212(X0,X3)),X3) )
& ( ~ r2_hidden(k4_tarski(sK211(X0,X3),sK212(X0,X3)),X0)
| ~ r2_hidden(k4_tarski(sK211(X0,X3),sK212(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,[sK211,sK212]),skolemize(X6,sK211(X0,X3)),skolemize(X7,sK212(X0,X3))],[f9626]) ).
fof(f9628,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(k4_tarski(sK213(X0,X3),sK214(X0,X3)),X0)
& ~ r2_hidden(k4_tarski(sK213(X0,X3),sK214(X0,X3)),X3) )
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK213,sK214]),skolemize(X4,sK213(X0,X3)),skolemize(X5,sK214(X0,X3))],[f7270]) ).
fof(f9629,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,[],[f7271]) ).
fof(f9630,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(k4_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3)),k2_zfmisc_1(X0,X1))
| r2_hidden(k4_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3)),k2_zfmisc_1(X2,X3)) )
& ( ~ r2_hidden(k4_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3)),k2_zfmisc_1(X0,X1))
| ~ r2_hidden(k4_tarski(sK215(X0,X1,X2,X3),sK216(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,[sK215,sK216]),skolemize(X4,sK215(X0,X1,X2,X3)),skolemize(X5,sK216(X0,X1,X2,X3))],[f9629]) ).
fof(f9631,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(f9632,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,[],[f9631]) ).
fof(f9633,plain,
! [X0,X1,X2,X3] :
( ( k4_tarski(sK217(X1,X2,X3),sK218(X1,X2,X3)) = X3
& r2_hidden(sK218(X1,X2,X3),X2)
& r2_hidden(sK217(X1,X2,X3),X1) )
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK217,sK218]),skolemize(X4,sK217(X1,X2,X3)),skolemize(X5,sK218(X1,X2,X3))],[f7273]) ).
fof(f9634,plain,
! [X0,X1,X2] :
( k4_tarski(sK219(X0),sK220(X0)) = X0
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK219,sK220]),skolemize(X3,sK219(X0)),skolemize(X4,sK220(X0))],[f7274]) ).
fof(f9635,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(f9636,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,[],[f9635]) ).
fof(f9637,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(f9638,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,[],[f9637]) ).
fof(f9639,plain,
! [X0,X1,X2] :
( ( k2_zfmisc_1(X0,X1) != X2
| ! [X8] :
( ( ~ r2_hidden(X8,X2)
| ( k4_tarski(sK224(X0,X1,X8),sK225(X0,X1,X8)) = X8
& r2_hidden(sK225(X0,X1,X8),X1)
& r2_hidden(sK224(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(sK221(X0,X1,X2),X2)
| ( sK221(X0,X1,X2) = k4_tarski(sK222(X0,X1,X2),sK223(X0,X1,X2))
& r2_hidden(sK223(X0,X1,X2),X1)
& r2_hidden(sK222(X0,X1,X2),X0) ) )
& ( ~ r2_hidden(sK221(X0,X1,X2),X2)
| ! [X4,X5] :
( k4_tarski(X4,X5) != sK221(X0,X1,X2)
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X0) ) ) )
| X2 = k2_zfmisc_1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK221,sK222,sK223,sK224,sK225]),skolemize(X3,sK221(X0,X1,X2)),skolemize(X6,sK222(X0,X1,X2)),skolemize(X7,sK223(X0,X1,X2)),skolemize(X11,sK224(X0,X1,X8)),skolemize(X12,sK225(X0,X1,X8))],[f9638]) ).
fof(f9640,plain,
! [X0,X1] :
( ( sK226(X0,X1) != X1
& r2_hidden(sK226(X0,X1),X0) )
| k1_xboole_0 = X0
| k1_tarski(X1) = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK226]),skolemize(X2,sK226(X0,X1))],[f7283]) ).
fof(f9641,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(f9642,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,[],[f9641]) ).
fof(f9643,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(f9644,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(f9645,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,[],[f9644]) ).
fof(f9646,plain,
! [X0,X1] :
( ( k1_tarski(X0) != X1
| ! [X3] :
( ( ~ r2_hidden(X3,X1)
| X0 = X3 )
& ( X0 != X3
| r2_hidden(X3,X1) ) ) )
& ( ( ( r2_hidden(sK227(X0,X1),X1)
| sK227(X0,X1) = X0 )
& ( ~ r2_hidden(sK227(X0,X1),X1)
| sK227(X0,X1) != X0 ) )
| X1 = k1_tarski(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK227]),skolemize(X2,sK227(X0,X1))],[f9645]) ).
fof(f9647,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(sK228(X0,X1),X3),k4_xboole_0(X0,k1_tarski(X1))) )
& m2_relset_1(sK228(X0,X1),k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(sK228(X0,X1),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK228(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK228]),skolemize(X2,sK228(X0,X1))],[f7286]) ).
fof(f9648,plain,
( ! [X1] :
( ~ m1_subset_1(X1,sK229)
| ~ v1_xboole_0(k4_xboole_0(sK229,k1_tarski(X1))) )
& ~ v1_xboole_0(sK229) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK229]),skolemize(X0,sK229)],[f7287]) ).
fof(f9649,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(f9651,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(f9652,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(f9653,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,[],[f9652]) ).
fof(f9654,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(f9655,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(f9656,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(f9657,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,[],[f9656]) ).
fof(f9658,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,[],[f9657]) ).
fof(f9659,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(sK230(X0,X1,X2),X2)
| ( ~ r2_hidden(sK230(X0,X1,X2),X1)
& r2_hidden(sK230(X0,X1,X2),X0) ) )
& ( ~ r2_hidden(sK230(X0,X1,X2),X2)
| r2_hidden(sK230(X0,X1,X2),X1)
| ~ r2_hidden(sK230(X0,X1,X2),X0) ) )
| X2 = k4_xboole_0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK230]),skolemize(X3,sK230(X0,X1,X2))],[f9658]) ).
fof(f9660,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))],[f7304]) ).
fof(f9661,plain,
! [X0] :
( ( r2_hidden(sK232(X0),X0)
& ~ v3_membered(sK232(X0)) )
| v3_membered(k3_tarski(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK232]),skolemize(X1,sK232(X0))],[f7305]) ).
fof(f9662,plain,
! [X0] :
( ( r2_hidden(sK233(X0),X0)
& ~ v2_membered(sK233(X0)) )
| v2_membered(k3_tarski(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK233]),skolemize(X1,sK233(X0))],[f7306]) ).
fof(f9663,plain,
! [X0] :
( ( r2_hidden(sK234(X0),X0)
& ~ v1_membered(sK234(X0)) )
| v1_membered(k3_tarski(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK234]),skolemize(X1,sK234(X0))],[f7307]) ).
fof(f9664,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,[],[f7308]) ).
fof(f9665,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,[],[f9664]) ).
fof(f9666,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,[],[f9665]) ).
fof(f9667,plain,
! [X0] :
( ( ( r2_hidden(sK235(X0),X0)
& ~ v1_finset_1(sK235(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,[sK235]),skolemize(X2,sK235(X0))],[f9666]) ).
fof(f9668,plain,
! [X0] :
( ( r2_hidden(sK236(X0),X0)
& ~ v3_ordinal1(sK236(X0)) )
| v3_ordinal1(k3_tarski(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK236]),skolemize(X1,sK236(X0))],[f7310]) ).
fof(f9669,plain,
! [X0,X1,X2] :
( ( r2_hidden(sK237(X1,X2),X1)
& ~ r1_xboole_0(sK237(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,[sK237]),skolemize(X3,sK237(X1,X2))],[f7313]) ).
fof(f9670,plain,
! [X0,X1] :
( ( r2_hidden(sK239(X0,X1),k2_xboole_0(X0,X1))
& r2_hidden(sK238(X0,X1),k2_xboole_0(X0,X1))
& ~ r1_xboole_0(sK238(X0,X1),sK239(X0,X1))
& sK238(X0,X1) != sK239(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,[sK238,sK239]),skolemize(X2,sK238(X0,X1)),skolemize(X3,sK239(X0,X1))],[f7317]) ).
fof(f9671,plain,
! [X0,X1] :
( ( r2_hidden(sK240(X0,X1),X0)
& ~ r1_xboole_0(sK240(X0,X1),X1) )
| r1_xboole_0(k3_tarski(X0),X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK240]),skolemize(X2,sK240(X0,X1))],[f7318]) ).
fof(f9672,plain,
! [X0,X1] :
( ( r2_hidden(sK241(X0,X1),X0)
& ~ r1_tarski(sK241(X0,X1),X1) )
| r1_tarski(k3_tarski(X0),X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK241]),skolemize(X2,sK241(X0,X1))],[f7320]) ).
fof(f9673,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(f9674,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,[],[f9673]) ).
fof(f9675,plain,
! [X0,X1] :
( ( k3_tarski(X0) != X1
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| ( r2_hidden(sK244(X0,X5),X0)
& r2_hidden(X5,sK244(X0,X5)) ) )
& ( ! [X6] :
( ~ r2_hidden(X6,X0)
| ~ r2_hidden(X5,X6) )
| r2_hidden(X5,X1) ) ) )
& ( ( ( r2_hidden(sK242(X0,X1),X1)
| ( r2_hidden(sK243(X0,X1),X0)
& r2_hidden(sK242(X0,X1),sK243(X0,X1)) ) )
& ( ~ r2_hidden(sK242(X0,X1),X1)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(sK242(X0,X1),X3) ) ) )
| X1 = k3_tarski(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK242,sK243,sK244]),skolemize(X2,sK242(X0,X1)),skolemize(X4,sK243(X0,X1)),skolemize(X7,sK244(X0,X5))],[f9674]) ).
fof(f9676,plain,
! [X0] : m1_eqrel_1(sK245(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK245]),skolemize(X1,sK245(X0))],[f3447]) ).
fof(f9677,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(sK246(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK246]),skolemize(X1,sK246(X0))],[f7325]) ).
fof(f9678,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( r2_hidden(sK247(X0,X1),X1)
& m1_subset_1(sK247(X0,X1),u1_struct_0(X0)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK247]),skolemize(X2,sK247(X0,X1))],[f7331]) ).
fof(f9679,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,[],[f7338]) ).
fof(f9680,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,[],[f7352]) ).
fof(f9681,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,[],[f9680]) ).
fof(f9682,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(sK248(X0,X1,X2,X3),X0)
& ( r2_hidden(sK248(X0,X1,X2,X3),X1)
| ( ~ r2_hidden(sK248(X0,X1,X2,X3),X3)
& r2_hidden(sK248(X0,X1,X2,X3),X2) ) )
& ( ~ r2_hidden(sK248(X0,X1,X2,X3),X1)
| r2_hidden(sK248(X0,X1,X2,X3),X3)
| ~ r2_hidden(sK248(X0,X1,X2,X3),X2) ) )
| X1 = k6_subset_1(X0,X2,X3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK248]),skolemize(X4,sK248(X0,X1,X2,X3))],[f9681]) ).
fof(f9683,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ( k3_finseq_1(sK249(X0,X1)) = X0
& m2_finseq_1(sK249(X0,X1),X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK249]),skolemize(X2,sK249(X0,X1))],[f7358]) ).
fof(f9684,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,[],[f7366]) ).
fof(f9685,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,[],[f7370]) ).
fof(f9686,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,[],[f9685]) ).
fof(f9687,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,[],[f7372]) ).
fof(f9688,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,[],[f9687]) ).
fof(f9689,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(sK250(X0,X1))
& r2_hidden(sK250(X0,X1),X1)
& r2_hidden(sK250(X0,X1),X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK250]),skolemize(X2,sK250(X0,X1))],[f9688]) ).
fof(f9690,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,[],[f7373]) ).
fof(f9691,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,[],[f9690]) ).
fof(f9692,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,[],[f9691]) ).
fof(f9693,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(sK251(X0,X1))
& ( r2_hidden(sK251(X0,X1),X0)
| r2_hidden(sK251(X0,X1),X1) )
& ( ~ r2_hidden(sK251(X0,X1),X0)
| ~ r2_hidden(sK251(X0,X1),X1) ) )
| X0 = X1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK251]),skolemize(X2,sK251(X0,X1))],[f9692]) ).
fof(f9694,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,[],[f7375]) ).
fof(f9695,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,[],[f9694]) ).
fof(f9696,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(sK252(X0,X1))
& r2_hidden(sK252(X0,X1),X0)
& ~ r2_hidden(sK252(X0,X1),X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK252]),skolemize(X2,sK252(X0,X1))],[f9695]) ).
fof(f9697,plain,
! [X0] :
( ~ v5_membered(X0)
| ( v4_ordinal2(sK253(X0))
& ~ r2_hidden(sK253(X0),X0) )
| X0 = k5_numbers ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK253]),skolemize(X1,sK253(X0))],[f7377]) ).
fof(f9698,plain,
! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| ( r2_hidden(sK254(X0),X0)
& v4_ordinal2(sK254(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK254]),skolemize(X1,sK254(X0))],[f7379]) ).
fof(f9699,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,[],[f7380]) ).
fof(f9700,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,[],[f9699]) ).
fof(f9701,plain,
! [X0] :
( ( ~ v5_membered(X0)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| v4_ordinal2(X2) ) )
& ( ( r2_hidden(sK255(X0),X0)
& ~ v4_ordinal2(sK255(X0)) )
| v5_membered(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK255]),skolemize(X1,sK255(X0))],[f9700]) ).
fof(f9702,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(sK256(X0,X1),k1_numbers,k5_numbers)
& r1_xreal_0(sK256(X0,X1),k3_finseq_1(X0))
& r1_xreal_0(np__1,sK256(X0,X1))
& k1_funct_1(X0,sK256(X0,X1)) != k1_funct_1(X1,sK256(X0,X1)) )
| k3_finseq_1(X0) != k3_finseq_1(X1)
| X0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK256]),skolemize(X2,sK256(X0,X1))],[f7391]) ).
fof(f9703,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,[],[f7392]) ).
fof(f9704,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,[],[f7393]) ).
fof(f9705,plain,
! [X0] :
( ( m2_subset_1(sK257(X0),k1_numbers,k5_numbers)
& r2_wellord2(X0,k2_finseq_1(sK257(X0))) )
| ~ v1_finset_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK257]),skolemize(X1,sK257(X0))],[f7402]) ).
fof(f9709,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
| ( sP10(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))) ) )
& ( ~ sP10(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,[],[f9319]) ).
fof(f9710,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
| ( sP10(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))) ) )
& ( ~ sP10(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,[],[f9709]) ).
fof(f9711,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
| ( sP10(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))) ) )
& ( ~ sP10(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,[],[f9710]) ).
fof(f9712,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
| ( sP10(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))) ) )
& ( ~ sP10(X0,X2,X1)
| ( m2_subset_1(sK259(X0,X2),k1_numbers,k5_numbers)
& r2_hidden(sK259(X0,X2),k4_finseq_1(X0))
& k1_funct_1(X0,sK259(X0,X2)) != k1_funct_1(X2,sK259(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,[sK259]),skolemize(X3,sK259(X0,X2))],[f9711]) ).
fof(f9713,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finseq_1(sK260(X0))
& v1_funct_1(sK260(X0))
& v1_relat_1(sK260(X0))
& r1_tarski(X0,sK260(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,[sK260]),skolemize(X2,sK260(X0))],[f7412]) ).
fof(f9714,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,[],[f7414]) ).
fof(f9715,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,[],[f7415]) ).
fof(f9716,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,[],[f9715]) ).
fof(f9717,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( ( ~ v1_finseq_1(X0)
| ( k1_relat_1(X0) = k2_finseq_1(sK261(X0))
& m2_subset_1(sK261(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,[sK261]),skolemize(X2,sK261(X0))],[f9716]) ).
fof(f9718,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( m1_subset_1(sK262(X0,X1),u1_struct_0(X0))
& sK262(X0,X1) != k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,sK262(X0,X1)) )
| X1 = k5_lattices(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK262]),skolemize(X2,sK262(X0,X1))],[f7431]) ).
fof(f9719,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( m1_subset_1(sK263(X0,X1),u1_struct_0(X0))
& sK263(X0,X1) != k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,sK263(X0,X1)) )
| X1 = k6_lattices(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK263]),skolemize(X2,sK263(X0,X1))],[f7446]) ).
fof(f9720,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,[],[f7452]) ).
fof(f9721,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,[],[f9720]) ).
fof(f9722,plain,
! [X1,X0] :
( ~ sP12(X1,X0)
| ( ( ~ sP11(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))
| sP11(X0,X1) ) ) ),
inference(nnf_transformation,[],[f9321]) ).
fof(f9723,plain,
! [X1,X0] :
( ~ sP12(X1,X0)
| ( ( ~ sP11(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))
| sP11(X0,X1) ) ) ),
inference(flattening,[],[f9722]) ).
fof(f9724,plain,
! [X0,X1] :
( ~ sP12(X0,X1)
| ( ( ~ sP11(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))
| sP11(X1,X0) ) ) ),
inference(rectify,[],[f9723]) ).
fof(f9727,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,[],[f7456]) ).
fof(f9728,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,[],[f9727]) ).
fof(f9729,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,[],[f7458]) ).
fof(f9730,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,[],[f9729]) ).
fof(f9731,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,[],[f7460]) ).
fof(f9732,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,[],[f9731]) ).
fof(f9733,plain,
! [X1,X0] :
( ~ sP14(X1,X0)
| ( ( ~ sP13(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))
| sP13(X0,X1) ) ) ),
inference(nnf_transformation,[],[f9324]) ).
fof(f9734,plain,
! [X1,X0] :
( ~ sP14(X1,X0)
| ( ( ~ sP13(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))
| sP13(X0,X1) ) ) ),
inference(flattening,[],[f9733]) ).
fof(f9735,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| ( ( ~ sP13(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))
| sP13(X1,X0) ) ) ),
inference(rectify,[],[f9734]) ).
fof(f9740,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,[],[f7474]) ).
fof(f9741,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,[],[f9740]) ).
fof(f9742,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,[],[f7476]) ).
fof(f9743,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,[],[f9742]) ).
fof(f9744,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,[],[f7478]) ).
fof(f9745,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,[],[f9744]) ).
fof(f9746,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,[],[f7480]) ).
fof(f9747,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,[],[f9746]) ).
fof(f9748,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(sK264(X0,X1),X3) )
& r1_tarski(X1,sK264(X0,X1))
& m2_relset_1(sK264(X0,X1),X0,X0)
& v1_partfun1(sK264(X0,X1),X0,X0)
& v8_relat_2(sK264(X0,X1))
& v3_relat_2(sK264(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK264]),skolemize(X2,sK264(X0,X1))],[f7484]) ).
fof(f9749,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,[],[f7491]) ).
fof(f9753,plain,
( v3_filter_0(sK265)
& v10_lattices(sK265)
& v9_lattices(sK265)
& v8_lattices(sK265)
& v7_lattices(sK265)
& v6_lattices(sK265)
& v5_lattices(sK265)
& v4_lattices(sK265)
& v3_lattices(sK265)
& ~ v3_struct_0(sK265)
& l3_lattices(sK265) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK265]),skolemize(X0,sK265)],[f5479]) ).
fof(f9754,plain,
( v15_lattices(sK266)
& v14_lattices(sK266)
& v13_lattices(sK266)
& v10_lattices(sK266)
& v9_lattices(sK266)
& v8_lattices(sK266)
& v7_lattices(sK266)
& v6_lattices(sK266)
& v5_lattices(sK266)
& v4_lattices(sK266)
& v3_lattices(sK266)
& ~ v3_struct_0(sK266)
& l3_lattices(sK266) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK266]),skolemize(X0,sK266)],[f4495]) ).
fof(f9755,plain,
( v10_lattices(sK267)
& v9_lattices(sK267)
& v8_lattices(sK267)
& v7_lattices(sK267)
& v6_lattices(sK267)
& v5_lattices(sK267)
& v4_lattices(sK267)
& v3_lattices(sK267)
& ~ v3_struct_0(sK267)
& l3_lattices(sK267) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK267]),skolemize(X0,sK267)],[f4491]) ).
fof(f9756,plain,
( v3_lattices(sK268)
& ~ v3_struct_0(sK268)
& l3_lattices(sK268) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK268]),skolemize(X0,sK268)],[f4486]) ).
fof(f9757,plain,
( v3_lattices(sK269)
& l3_lattices(sK269) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK269]),skolemize(X0,sK269)],[f4480]) ).
fof(f9758,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,[],[f7530]) ).
fof(f9759,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,[],[f9758]) ).
fof(f9760,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,[],[f9759]) ).
fof(f9761,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(sK270(X0,X1,X2),u1_struct_0(X0))
& m1_subset_1(sK271(X0,X1,X2),u1_struct_0(X0))
& ( r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),sK270(X0,X1,X2),sK271(X0,X1,X2)),X2)
| r2_hidden(k9_filter_0(X0,sK270(X0,X1,X2),sK271(X0,X1,X2)),X1) )
& ( ~ r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),sK270(X0,X1,X2),sK271(X0,X1,X2)),X2)
| ~ r2_hidden(k9_filter_0(X0,sK270(X0,X1,X2),sK271(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,[sK270,sK271]),skolemize(X3,sK270(X0,X1,X2)),skolemize(X4,sK271(X0,X1,X2))],[f9760]) ).
fof(f9762,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,[],[f7544]) ).
fof(f9763,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,[],[f9762]) ).
fof(f9764,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(sK275(X0,X1,X2,X3),sK273(X0,X1,X2,X3))
& r2_hidden(sK274(X0,X1,X2,X3),sK272(X0,X1,X2,X3))
& r2_hidden(sK273(X0,X1,X2,X3),k8_eqrel_1(X0,X1))
& r2_hidden(sK272(X0,X1,X2,X3),k8_eqrel_1(X0,X1))
& k1_binop_1(X3,sK272(X0,X1,X2,X3),sK273(X0,X1,X2,X3)) != k6_eqrel_1(X0,X1,k1_binop_1(X2,sK274(X0,X1,X2,X3),sK275(X0,X1,X2,X3))) )
| X3 = k4_filter_1(X0,X1,X2) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK272,sK273,sK274,sK275]),skolemize(X4,sK272(X0,X1,X2,X3)),skolemize(X5,sK273(X0,X1,X2,X3)),skolemize(X6,sK274(X0,X1,X2,X3)),skolemize(X7,sK275(X0,X1,X2,X3))],[f9763]) ).
fof(f9765,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,[],[f7552]) ).
fof(f9766,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,[],[f7558]) ).
fof(f9767,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,[],[f9766]) ).
fof(f9768,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,[],[f7560]) ).
fof(f9769,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,[],[f7562]) ).
fof(f9770,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,[],[f7599]) ).
fof(f9771,plain,
! [X0,X1] :
( v1_funct_2(sK276(X0,X1),X0,X1)
& v1_funct_1(sK276(X0,X1))
& v1_relat_1(sK276(X0,X1))
& m1_relset_1(sK276(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK276]),skolemize(X2,sK276(X0,X1))],[f1690]) ).
fof(f9772,plain,
! [X0,X1] :
( v1_funct_1(sK277(X0,X1))
& v1_relat_1(sK277(X0,X1))
& m1_relset_1(sK277(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK277]),skolemize(X2,sK277(X0,X1))],[f1347]) ).
fof(f9773,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(f9774,plain,
! [X0,X1] : m1_relset_1(sK278(X0,X1),X0,X1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK278]),skolemize(X2,sK278(X0,X1))],[f1315]) ).
fof(f9775,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(f9776,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,[],[f7611]) ).
fof(f9777,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,[],[f9776]) ).
fof(f9778,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(sK279(X0,X1),u1_struct_0(X0))
& ( k2_lattices(X0,sK279(X0,X1),X1) != X1
| k2_lattices(X0,X1,sK279(X0,X1)) != X1 ) )
| X1 = k5_lattices(X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK279]),skolemize(X2,sK279(X0,X1))],[f9777]) ).
fof(f9779,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,[],[f7613]) ).
fof(f9780,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,[],[f9779]) ).
fof(f9781,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v13_lattices(X0)
| ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( sK281(X0) = k2_lattices(X0,X4,sK281(X0))
& sK281(X0) = k2_lattices(X0,sK281(X0),X4) ) )
& m1_subset_1(sK281(X0),u1_struct_0(X0)) ) )
& ( ! [X1] :
( ( m1_subset_1(sK280(X0,X1),u1_struct_0(X0))
& ( k2_lattices(X0,sK280(X0,X1),X1) != X1
| k2_lattices(X0,X1,sK280(X0,X1)) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v13_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK280,sK281]),skolemize(X2,sK280(X0,X1)),skolemize(X3,sK281(X0))],[f9780]) ).
fof(f9782,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,[],[f7615]) ).
fof(f9783,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,[],[f9782]) ).
fof(f9784,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(sK282(X0),u1_struct_0(X0))
& m1_subset_1(sK283(X0),u1_struct_0(X0))
& m1_subset_1(sK284(X0),u1_struct_0(X0))
& k2_lattices(X0,sK282(X0),k1_lattices(X0,sK283(X0),sK284(X0))) != k1_lattices(X0,k2_lattices(X0,sK282(X0),sK283(X0)),k2_lattices(X0,sK282(X0),sK284(X0))) )
| v11_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK282,sK283,sK284]),skolemize(X1,sK282(X0)),skolemize(X2,sK283(X0)),skolemize(X3,sK284(X0))],[f9783]) ).
fof(f9785,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,[],[f7617]) ).
fof(f9786,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,[],[f9785]) ).
fof(f9787,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(sK285(X0),u1_struct_0(X0))
& m1_subset_1(sK286(X0),u1_struct_0(X0))
& sK285(X0) != k2_lattices(X0,sK285(X0),k1_lattices(X0,sK285(X0),sK286(X0))) )
| v9_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK285,sK286]),skolemize(X1,sK285(X0)),skolemize(X2,sK286(X0))],[f9786]) ).
fof(f9788,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,[],[f7619]) ).
fof(f9789,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,[],[f9788]) ).
fof(f9790,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(sK287(X0),u1_struct_0(X0))
& m1_subset_1(sK288(X0),u1_struct_0(X0))
& sK288(X0) != k1_lattices(X0,k2_lattices(X0,sK287(X0),sK288(X0)),sK288(X0)) )
| v8_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK287,sK288]),skolemize(X1,sK287(X0)),skolemize(X2,sK288(X0))],[f9789]) ).
fof(f9791,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,[],[f7621]) ).
fof(f9792,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,[],[f9791]) ).
fof(f9793,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(sK289(X0),u1_struct_0(X0))
& m1_subset_1(sK290(X0),u1_struct_0(X0))
& m1_subset_1(sK291(X0),u1_struct_0(X0))
& k2_lattices(X0,sK289(X0),k2_lattices(X0,sK290(X0),sK291(X0))) != k2_lattices(X0,k2_lattices(X0,sK289(X0),sK290(X0)),sK291(X0)) )
| v7_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK289,sK290,sK291]),skolemize(X1,sK289(X0)),skolemize(X2,sK290(X0)),skolemize(X3,sK291(X0))],[f9792]) ).
fof(f9794,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,[],[f7623]) ).
fof(f9795,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,[],[f9794]) ).
fof(f9796,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(sK292(X0),u1_struct_0(X0))
& m1_subset_1(sK293(X0),u1_struct_0(X0))
& k2_lattices(X0,sK292(X0),sK293(X0)) != k2_lattices(X0,sK293(X0),sK292(X0)) )
| v6_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK292,sK293]),skolemize(X1,sK292(X0)),skolemize(X2,sK293(X0))],[f9795]) ).
fof(f9797,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( ( k6_lattices(X0) != X1
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_lattices(X0,X2,X1) = X1
& k1_lattices(X0,X1,X2) = X1 ) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ( k1_lattices(X0,X2,X1) != X1
| k1_lattices(X0,X1,X2) != X1 ) )
| X1 = k6_lattices(X0) ) ) ) ),
inference(nnf_transformation,[],[f7641]) ).
fof(f9798,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( ( k6_lattices(X0) != X1
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( k1_lattices(X0,X3,X1) = X1
& k1_lattices(X0,X1,X3) = X1 ) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ( k1_lattices(X0,X2,X1) != X1
| k1_lattices(X0,X1,X2) != X1 ) )
| X1 = k6_lattices(X0) ) ) ) ),
inference(rectify,[],[f9797]) ).
fof(f9799,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( ( k6_lattices(X0) != X1
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( k1_lattices(X0,X3,X1) = X1
& k1_lattices(X0,X1,X3) = X1 ) ) )
& ( ( m1_subset_1(sK294(X0,X1),u1_struct_0(X0))
& ( k1_lattices(X0,sK294(X0,X1),X1) != X1
| k1_lattices(X0,X1,sK294(X0,X1)) != X1 ) )
| X1 = k6_lattices(X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK294]),skolemize(X2,sK294(X0,X1))],[f9798]) ).
fof(f9800,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v14_lattices(X0)
| ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_lattices(X0,X2,X1) = X1
& k1_lattices(X0,X1,X2) = X1 ) )
& m1_subset_1(X1,u1_struct_0(X0)) ) )
& ( ! [X1] :
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ( k1_lattices(X0,X2,X1) != X1
| k1_lattices(X0,X1,X2) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v14_lattices(X0) ) ) ),
inference(nnf_transformation,[],[f7643]) ).
fof(f9801,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v14_lattices(X0)
| ? [X3] :
( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( k1_lattices(X0,X4,X3) = X3
& k1_lattices(X0,X3,X4) = X3 ) )
& m1_subset_1(X3,u1_struct_0(X0)) ) )
& ( ! [X1] :
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ( k1_lattices(X0,X2,X1) != X1
| k1_lattices(X0,X1,X2) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v14_lattices(X0) ) ) ),
inference(rectify,[],[f9800]) ).
fof(f9802,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v14_lattices(X0)
| ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( sK296(X0) = k1_lattices(X0,X4,sK296(X0))
& sK296(X0) = k1_lattices(X0,sK296(X0),X4) ) )
& m1_subset_1(sK296(X0),u1_struct_0(X0)) ) )
& ( ! [X1] :
( ( m1_subset_1(sK295(X0,X1),u1_struct_0(X0))
& ( k1_lattices(X0,sK295(X0,X1),X1) != X1
| k1_lattices(X0,X1,sK295(X0,X1)) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v14_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK295,sK296]),skolemize(X2,sK295(X0,X1)),skolemize(X3,sK296(X0))],[f9801]) ).
fof(f9803,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v5_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))
| k1_lattices(X0,X1,k1_lattices(X0,X2,X3)) = k1_lattices(X0,k1_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))
& k1_lattices(X0,X1,k1_lattices(X0,X2,X3)) != k1_lattices(X0,k1_lattices(X0,X1,X2),X3) ) ) )
| v5_lattices(X0) ) ) ),
inference(nnf_transformation,[],[f7645]) ).
fof(f9804,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v5_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))
| k1_lattices(X0,X4,k1_lattices(X0,X5,X6)) = k1_lattices(X0,k1_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))
& k1_lattices(X0,X1,k1_lattices(X0,X2,X3)) != k1_lattices(X0,k1_lattices(X0,X1,X2),X3) ) ) )
| v5_lattices(X0) ) ) ),
inference(rectify,[],[f9803]) ).
fof(f9805,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v5_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))
| k1_lattices(X0,X4,k1_lattices(X0,X5,X6)) = k1_lattices(X0,k1_lattices(X0,X4,X5),X6) ) ) ) )
& ( ( m1_subset_1(sK297(X0),u1_struct_0(X0))
& m1_subset_1(sK298(X0),u1_struct_0(X0))
& m1_subset_1(sK299(X0),u1_struct_0(X0))
& k1_lattices(X0,sK297(X0),k1_lattices(X0,sK298(X0),sK299(X0))) != k1_lattices(X0,k1_lattices(X0,sK297(X0),sK298(X0)),sK299(X0)) )
| v5_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK297,sK298,sK299]),skolemize(X1,sK297(X0)),skolemize(X2,sK298(X0)),skolemize(X3,sK299(X0))],[f9804]) ).
fof(f9806,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v4_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_lattices(X0,X1,X2) = k1_lattices(X0,X2,X1) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k1_lattices(X0,X1,X2) != k1_lattices(X0,X2,X1) ) )
| v4_lattices(X0) ) ) ),
inference(nnf_transformation,[],[f7647]) ).
fof(f9807,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v4_lattices(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k1_lattices(X0,X3,X4) = k1_lattices(X0,X4,X3) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k1_lattices(X0,X1,X2) != k1_lattices(X0,X2,X1) ) )
| v4_lattices(X0) ) ) ),
inference(rectify,[],[f9806]) ).
fof(f9808,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v4_lattices(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k1_lattices(X0,X3,X4) = k1_lattices(X0,X4,X3) ) ) )
& ( ( m1_subset_1(sK300(X0),u1_struct_0(X0))
& m1_subset_1(sK301(X0),u1_struct_0(X0))
& k1_lattices(X0,sK300(X0),sK301(X0)) != k1_lattices(X0,sK301(X0),sK300(X0)) )
| v4_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK300,sK301]),skolemize(X1,sK300(X0)),skolemize(X2,sK301(X0))],[f9807]) ).
fof(f9809,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,[],[f7661]) ).
fof(f9810,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,[],[f9809]) ).
fof(f9811,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(sK302(X0,X1),X0)
& m1_subset_1(sK303(X0,X1),X0)
& m1_subset_1(sK304(X0,X1),X0)
& k2_binop_1(X0,X0,X0,X1,sK302(X0,X1),k2_binop_1(X0,X0,X0,X1,sK303(X0,X1),sK304(X0,X1))) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,sK302(X0,X1),sK303(X0,X1)),sK304(X0,X1)) )
| v2_binop_1(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK302,sK303,sK304]),skolemize(X2,sK302(X0,X1)),skolemize(X3,sK303(X0,X1)),skolemize(X4,sK304(X0,X1))],[f9810]) ).
fof(f9812,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,[],[f7663]) ).
fof(f9813,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,[],[f9812]) ).
fof(f9814,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(sK305(X0,X1),X0)
& m1_subset_1(sK306(X0,X1),X0)
& k2_binop_1(X0,X0,X0,X1,sK305(X0,X1),sK306(X0,X1)) != k2_binop_1(X0,X0,X0,X1,sK306(X0,X1),sK305(X0,X1)) )
| v1_binop_1(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK305,sK306]),skolemize(X2,sK305(X0,X1)),skolemize(X3,sK306(X0,X1))],[f9813]) ).
fof(f9815,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(sK307(X0,X1,X2,X3,X4),X0)
& m1_subset_1(sK308(X0,X1,X2,X3,X4),X1)
& k2_binop_1(X0,X1,X2,X3,sK307(X0,X1,X2,X3,X4),sK308(X0,X1,X2,X3,X4)) != k2_binop_1(X0,X1,X2,X4,sK307(X0,X1,X2,X3,X4),sK308(X0,X1,X2,X3,X4)) )
| X3 = X4 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK307,sK308]),skolemize(X5,sK307(X0,X1,X2,X3,X4)),skolemize(X6,sK308(X0,X1,X2,X3,X4))],[f7665]) ).
fof(f9816,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,[],[f7666]) ).
fof(f9817,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,[],[f9816]) ).
fof(f9818,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,[],[f9817]) ).
fof(f9819,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(sK309(X0,X1))
& ( r2_hidden(sK309(X0,X1),X0)
| r2_hidden(sK309(X0,X1),X1) )
& ( ~ r2_hidden(sK309(X0,X1),X0)
| ~ r2_hidden(sK309(X0,X1),X1) ) )
| X0 = X1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK309]),skolemize(X2,sK309(X0,X1))],[f9818]) ).
fof(f9820,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,[],[f7668]) ).
fof(f9821,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,[],[f9820]) ).
fof(f9822,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(sK310(X0,X1))
& r2_hidden(sK310(X0,X1),X0)
& ~ r2_hidden(sK310(X0,X1),X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK310]),skolemize(X2,sK310(X0,X1))],[f9821]) ).
fof(f9823,plain,
! [X0] :
( ~ v1_membered(X0)
| ( v1_xcmplx_0(sK311(X0))
& ~ r2_hidden(sK311(X0),X0) )
| X0 = k2_numbers ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK311]),skolemize(X1,sK311(X0))],[f7670]) ).
fof(f9824,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xboole_0(X0)
| ( r2_hidden(sK312(X0),X0)
& v1_xcmplx_0(sK312(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK312]),skolemize(X1,sK312(X0))],[f7672]) ).
fof(f9825,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,[],[f7673]) ).
fof(f9826,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,[],[f9825]) ).
fof(f9827,plain,
! [X0] :
( ( ~ v1_membered(X0)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| v1_xcmplx_0(X2) ) )
& ( ( r2_hidden(sK313(X0),X0)
& ~ v1_xcmplx_0(sK313(X0)) )
| v1_membered(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK313]),skolemize(X1,sK313(X0))],[f9826]) ).
fof(f9828,plain,
( v1_int_1(sK314)
& v1_xreal_0(sK314)
& v1_xcmplx_0(sK314)
& m1_subset_1(sK314,k1_numbers) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK314]),skolemize(X0,sK314)],[f2725]) ).
fof(f9829,plain,
( v1_xreal_0(sK315)
& v1_xcmplx_0(sK315) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK315]),skolemize(X0,sK315)],[f2679]) ).
fof(f9830,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,[],[f7707]) ).
fof(f9831,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,[],[f9830]) ).
fof(f9832,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(sK316(X0,X1,X2),X0)
& m1_subset_1(sK317(X0,X1,X2),X0)
& k8_funct_2(X0,X1,X2,sK316(X0,X1,X2)) = k8_funct_2(X0,X1,X2,sK317(X0,X1,X2))
& sK316(X0,X1,X2) != sK317(X0,X1,X2) )
| v2_funct_1(X2) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK316,sK317]),skolemize(X3,sK316(X0,X1,X2)),skolemize(X4,sK317(X0,X1,X2))],[f9831]) ).
fof(f9833,plain,
( v1_finseq_1(sK318)
& v1_finset_1(sK318)
& v2_funct_1(sK318)
& v1_funct_1(sK318)
& v1_relat_1(sK318)
& v1_xboole_0(sK318) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK318]),skolemize(X0,sK318)],[f3230]) ).
fof(f9834,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(f9835,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,[],[f9834]) ).
fof(f9836,plain,
! [X0,X1] :
( ( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| ( r1_tarski(k2_relat_1(sK319(X0,X1)),X1)
& k1_relat_1(sK319(X0,X1)) = X0
& v2_funct_1(sK319(X0,X1))
& v1_funct_1(sK319(X0,X1))
& v1_relat_1(sK319(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,[sK319]),skolemize(X3,sK319(X0,X1))],[f9835]) ).
fof(f9837,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,[],[f7713]) ).
fof(f9838,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,[],[f9837]) ).
fof(f9839,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,sK320(X0,X1)) = k1_funct_1(X1,sK321(X0,X1))
& r2_hidden(sK321(X0,X1),X0)
& r2_hidden(sK320(X0,X1),X0)
& sK320(X0,X1) != sK321(X0,X1) )
| v2_funct_1(X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK320,sK321]),skolemize(X2,sK320(X0,X1)),skolemize(X3,sK321(X0,X1))],[f9838]) ).
fof(f9843,plain,
( v1_xboole_0(sK324)
& v2_funct_1(sK324)
& v1_funct_1(sK324)
& v1_relat_1(sK324) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK324]),skolemize(X0,sK324)],[f1346]) ).
fof(f9844,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,[],[f7723]) ).
fof(f9845,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,[],[f9844]) ).
fof(f9846,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(sK326(X0,X3))) )
& ( ! [X2] : ~ r1_tarski(k10_relat_1(X0,k1_tarski(sK325(X0))),k1_tarski(X2))
| v2_funct_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK325,sK326]),skolemize(X1,sK325(X0)),skolemize(X4,sK326(X0,X3))],[f9845]) ).
fof(f9847,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k9_relat_1(X0,sK327(X0))),sK327(X0))
| v2_funct_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK327]),skolemize(X1,sK327(X0))],[f7727]) ).
fof(f9848,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,[],[f7731]) ).
fof(f9849,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,[],[f9848]) ).
fof(f9850,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( ( ( ! [X4] : k1_tarski(X4) != k10_relat_1(X0,k1_tarski(sK329(X0)))
& r2_hidden(sK329(X0),k2_relat_1(X0)) )
| v2_funct_1(X0) )
& ( ~ v2_funct_1(X0)
| ! [X1] :
( k10_relat_1(X0,k1_tarski(X1)) = k1_tarski(sK328(X0,X1))
| ~ r2_hidden(X1,k2_relat_1(X0)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK328,sK329]),skolemize(X2,sK328(X0,X1)),skolemize(X3,sK329(X0))],[f9849]) ).
fof(f9851,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,k4_xboole_0(sK330(X0),sK331(X0))) != k4_xboole_0(k9_relat_1(X0,sK330(X0)),k9_relat_1(X0,sK331(X0)))
| v2_funct_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK330,sK331]),skolemize(X1,sK330(X0)),skolemize(X2,sK331(X0))],[f7733]) ).
fof(f9852,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,k3_xboole_0(sK332(X0),sK333(X0))) != k3_xboole_0(k9_relat_1(X0,sK332(X0)),k9_relat_1(X0,sK333(X0)))
| v2_funct_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK332,sK333]),skolemize(X1,sK332(X0)),skolemize(X2,sK333(X0))],[f7737]) ).
fof(f9853,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,[],[f7743]) ).
fof(f9854,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,[],[f9853]) ).
fof(f9855,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,sK334(X0)) = k1_funct_1(X0,sK335(X0))
& r2_hidden(sK335(X0),k1_relat_1(X0))
& r2_hidden(sK334(X0),k1_relat_1(X0))
& sK334(X0) != sK335(X0) )
| v2_funct_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK334,sK335]),skolemize(X1,sK334(X0)),skolemize(X2,sK335(X0))],[f9854]) ).
fof(f9856,plain,
( v2_funct_1(sK336)
& v1_funct_1(sK336)
& v1_relat_1(sK336) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK336]),skolemize(X0,sK336)],[f920]) ).
fof(f9857,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,[],[f7784]) ).
fof(f9858,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,[],[f9857]) ).
fof(f9859,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,sK339(X0,X1,X6)) = X6
& r2_hidden(sK339(X0,X1,X6),X1)
& r2_hidden(sK339(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(sK337(X0,X1,X2),X2)
| ( sK337(X0,X1,X2) = k1_funct_1(X0,sK338(X0,X1,X2))
& r2_hidden(sK338(X0,X1,X2),X1)
& r2_hidden(sK338(X0,X1,X2),k1_relat_1(X0)) ) )
& ( ~ r2_hidden(sK337(X0,X1,X2),X2)
| ! [X4] :
( k1_funct_1(X0,X4) != sK337(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,[sK337,sK338,sK339]),skolemize(X3,sK337(X0,X1,X2)),skolemize(X5,sK338(X0,X1,X2)),skolemize(X8,sK339(X0,X1,X6))],[f9858]) ).
fof(f9860,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,[],[f7803]) ).
fof(f9861,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,[],[f9860]) ).
fof(f9862,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X0,k9_relat_1(X2,X1))
| ( r2_hidden(sK340(X0,X1,X2),X1)
& r2_hidden(k4_tarski(sK340(X0,X1,X2),X0),X2)
& r2_hidden(sK340(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,[sK340]),skolemize(X4,sK340(X0,X1,X2))],[f9861]) ).
fof(f9863,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,[],[f7804]) ).
fof(f9864,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,[],[f9863]) ).
fof(f9865,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k9_relat_1(X0,X1) != X2
| ! [X6] :
( ( ~ r2_hidden(X6,X2)
| ( r2_hidden(sK343(X0,X1,X6),X1)
& r2_hidden(k4_tarski(sK343(X0,X1,X6),X6),X0) ) )
& ( ! [X7] :
( ~ r2_hidden(X7,X1)
| ~ r2_hidden(k4_tarski(X7,X6),X0) )
| r2_hidden(X6,X2) ) ) )
& ( ( ( r2_hidden(sK341(X0,X1,X2),X2)
| ( r2_hidden(sK342(X0,X1,X2),X1)
& r2_hidden(k4_tarski(sK342(X0,X1,X2),sK341(X0,X1,X2)),X0) ) )
& ( ~ r2_hidden(sK341(X0,X1,X2),X2)
| ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,sK341(X0,X1,X2)),X0) ) ) )
| X2 = k9_relat_1(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK341,sK342,sK343]),skolemize(X3,sK341(X0,X1,X2)),skolemize(X5,sK342(X0,X1,X2)),skolemize(X8,sK343(X0,X1,X6))],[f9864]) ).
fof(f9866,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,[],[f7823]) ).
fof(f9867,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,[],[f9866]) ).
fof(f9868,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,[],[f9867]) ).
fof(f9869,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(sK344(X1,X2),k1_relat_1(X1))
& k1_funct_1(X1,sK344(X1,X2)) != k1_funct_1(X2,sK344(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,[sK344]),skolemize(X3,sK344(X1,X2))],[f9868]) ).
fof(f9870,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,[],[f7861]) ).
fof(f9871,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,[],[f9870]) ).
fof(f9872,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,[],[f7862]) ).
fof(f9873,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,[],[f9872]) ).
fof(f9874,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,[],[f9873]) ).
fof(f9875,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(sK345(X0,X1,X2),sK346(X0,X1,X2)),X2)
| ( r2_hidden(k4_tarski(sK345(X0,X1,X2),sK346(X0,X1,X2)),X0)
& r2_hidden(sK345(X0,X1,X2),X1) ) )
& ( ~ r2_hidden(k4_tarski(sK345(X0,X1,X2),sK346(X0,X1,X2)),X2)
| ~ r2_hidden(k4_tarski(sK345(X0,X1,X2),sK346(X0,X1,X2)),X0)
| ~ r2_hidden(sK345(X0,X1,X2),X1) ) )
| X2 = k7_relat_1(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK345,sK346]),skolemize(X3,sK345(X0,X1,X2)),skolemize(X4,sK346(X0,X1,X2))],[f9874]) ).
fof(f9876,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,[],[f7870]) ).
fof(f9877,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,[],[f9876]) ).
fof(f9878,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( k1_xboole_0 = k10_relat_1(X1,k1_tarski(sK347(X0,X1)))
& r2_hidden(sK347(X0,X1),X0) )
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK347]),skolemize(X2,sK347(X0,X1))],[f7880]) ).
fof(f9879,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,[],[f7881]) ).
fof(f9880,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,[],[f7887]) ).
fof(f9881,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,[],[f9880]) ).
fof(f9882,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,[],[f9881]) ).
fof(f9883,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(sK348(X0,X1,X2),X2)
| ( r2_hidden(k1_funct_1(X0,sK348(X0,X1,X2)),X1)
& r2_hidden(sK348(X0,X1,X2),k1_relat_1(X0)) ) )
& ( ~ r2_hidden(sK348(X0,X1,X2),X2)
| ~ r2_hidden(k1_funct_1(X0,sK348(X0,X1,X2)),X1)
| ~ r2_hidden(sK348(X0,X1,X2),k1_relat_1(X0)) ) )
| X2 = k10_relat_1(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK348]),skolemize(X3,sK348(X0,X1,X2))],[f9882]) ).
fof(f9884,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,[],[f7904]) ).
fof(f9885,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,[],[f9884]) ).
fof(f9886,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X0,k10_relat_1(X2,X1))
| ( r2_hidden(sK349(X0,X1,X2),X1)
& r2_hidden(k4_tarski(X0,sK349(X0,X1,X2)),X2)
& r2_hidden(sK349(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,[sK349]),skolemize(X4,sK349(X0,X1,X2))],[f9885]) ).
fof(f9887,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,[],[f7905]) ).
fof(f9888,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,[],[f9887]) ).
fof(f9889,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k10_relat_1(X0,X1) != X2
| ! [X6] :
( ( ~ r2_hidden(X6,X2)
| ( r2_hidden(sK352(X0,X1,X6),X1)
& r2_hidden(k4_tarski(X6,sK352(X0,X1,X6)),X0) ) )
& ( ! [X7] :
( ~ r2_hidden(X7,X1)
| ~ r2_hidden(k4_tarski(X6,X7),X0) )
| r2_hidden(X6,X2) ) ) )
& ( ( ( r2_hidden(sK350(X0,X1,X2),X2)
| ( r2_hidden(sK351(X0,X1,X2),X1)
& r2_hidden(k4_tarski(sK350(X0,X1,X2),sK351(X0,X1,X2)),X0) ) )
& ( ~ r2_hidden(sK350(X0,X1,X2),X2)
| ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(sK350(X0,X1,X2),X4),X0) ) ) )
| X2 = k10_relat_1(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK350,sK351,sK352]),skolemize(X3,sK350(X0,X1,X2)),skolemize(X5,sK351(X0,X1,X2)),skolemize(X8,sK352(X0,X1,X6))],[f9888]) ).
fof(f9890,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,[],[f7912]) ).
fof(f9891,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,[],[f9890]) ).
fof(f9892,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(f9893,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,[],[f9892]) ).
fof(f9894,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(f9895,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,[],[f9894]) ).
fof(f9896,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(f9897,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,[],[f9896]) ).
fof(f9898,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,[],[f7923]) ).
fof(f9899,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,[],[f9898]) ).
fof(f9900,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(f9901,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,[],[f9900]) ).
fof(f9902,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(f9903,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,[],[f9902]) ).
fof(f9904,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,[],[f9903]) ).
fof(f9905,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(sK353(X0,X1,X2),X2)
| sK353(X0,X1,X2) = X1
| sK353(X0,X1,X2) = X0 )
& ( ~ r2_hidden(sK353(X0,X1,X2),X2)
| ( sK353(X0,X1,X2) != X1
& sK353(X0,X1,X2) != X0 ) ) )
| X2 = k2_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK353]),skolemize(X3,sK353(X0,X1,X2))],[f9904]) ).
fof(f9906,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(f9907,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(f9908,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,[],[f9907]) ).
fof(f9909,plain,
! [X0,X1] :
( ( k1_card_1(X0) != k1_card_1(k1_tarski(X1))
| k1_tarski(sK354(X0)) = X0 )
& ( ! [X2] : k1_tarski(X2) != X0
| k1_card_1(X0) = k1_card_1(k1_tarski(X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK354]),skolemize(X3,sK354(X0))],[f9908]) ).
fof(f9910,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(f9911,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,[],[f9910]) ).
fof(f9912,plain,
! [X0,X1] :
( ( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| ( r1_tarski(X0,k2_relat_1(sK355(X0,X1)))
& k1_relat_1(sK355(X0,X1)) = X1
& v1_funct_1(sK355(X0,X1))
& v1_relat_1(sK355(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,[sK355]),skolemize(X3,sK355(X0,X1))],[f9911]) ).
fof(f9913,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(f9914,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,[],[f9913]) ).
fof(f9915,plain,
! [X0] :
( ( ~ v1_finset_1(X0)
| ( k2_relat_1(sK356(X0)) = X0
& v1_finseq_1(sK356(X0))
& v1_funct_1(sK356(X0))
& v1_relat_1(sK356(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,[sK356]),skolemize(X2,sK356(X0))],[f9914]) ).
fof(f9917,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,[],[f7944]) ).
fof(f9918,plain,
( v1_finseq_1(sK357)
& v1_finset_1(sK357)
& v1_funct_1(sK357)
& v1_relat_1(sK357)
& ~ v1_xboole_0(sK357) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK357]),skolemize(X0,sK357)],[f3245]) ).
fof(f9919,plain,
! [X0] :
( v1_finseq_1(sK358(X0))
& v1_finset_1(sK358(X0))
& v1_funct_1(sK358(X0))
& v1_relat_1(sK358(X0))
& m1_relset_1(sK358(X0),k5_numbers,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK358]),skolemize(X1,sK358(X0))],[f3229]) ).
fof(f9920,plain,
( v1_finseq_1(sK359)
& v1_funct_1(sK359)
& v1_relat_1(sK359) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK359]),skolemize(X0,sK359)],[f3225]) ).
fof(f9921,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,[],[f7948]) ).
fof(f9922,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,[],[f9921]) ).
fof(f9923,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(sK360(X0,X1))
& r2_hidden(sK360(X0,X1),X1)
& r2_hidden(sK360(X0,X1),X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK360]),skolemize(X2,sK360(X0,X1))],[f9922]) ).
fof(f9924,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,[],[f7949]) ).
fof(f9925,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,[],[f9924]) ).
fof(f9926,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,[],[f9925]) ).
fof(f9927,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(sK361(X0,X1))
& ( r2_hidden(sK361(X0,X1),X0)
| r2_hidden(sK361(X0,X1),X1) )
& ( ~ r2_hidden(sK361(X0,X1),X0)
| ~ r2_hidden(sK361(X0,X1),X1) ) )
| X0 = X1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK361]),skolemize(X2,sK361(X0,X1))],[f9926]) ).
fof(f9928,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,[],[f7951]) ).
fof(f9929,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,[],[f9928]) ).
fof(f9930,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(sK362(X0,X1))
& r2_hidden(sK362(X0,X1),X0)
& ~ r2_hidden(sK362(X0,X1),X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK362]),skolemize(X2,sK362(X0,X1))],[f9929]) ).
fof(f9931,plain,
! [X0] :
( ~ v4_membered(X0)
| ( v1_int_1(sK363(X0))
& ~ r2_hidden(sK363(X0),X0) )
| X0 = k4_numbers ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK363]),skolemize(X1,sK363(X0))],[f7955]) ).
fof(f9932,plain,
! [X0] :
( ~ v4_membered(X0)
| v1_xboole_0(X0)
| ( r2_hidden(sK364(X0),X0)
& v1_int_1(sK364(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK364]),skolemize(X1,sK364(X0))],[f7957]) ).
fof(f9933,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,[],[f7959]) ).
fof(f9934,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,[],[f9933]) ).
fof(f9935,plain,
! [X0] :
( ( ~ v4_membered(X0)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| v1_int_1(X2) ) )
& ( ( r2_hidden(sK365(X0),X0)
& ~ v1_int_1(sK365(X0)) )
| v4_membered(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK365]),skolemize(X1,sK365(X0))],[f9934]) ).
fof(f9936,plain,
( v5_membered(sK366)
& v4_membered(sK366)
& v3_membered(sK366)
& v2_membered(sK366)
& v1_membered(sK366)
& ~ v1_xboole_0(sK366) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK366]),skolemize(X0,sK366)],[f2996]) ).
fof(f9937,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,[],[f7994]) ).
fof(f9938,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,[],[f9937]) ).
fof(f9939,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(sK367(X0,X1))
& r2_hidden(sK367(X0,X1),X1)
& r2_hidden(sK367(X0,X1),X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK367]),skolemize(X2,sK367(X0,X1))],[f9938]) ).
fof(f9940,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,[],[f7995]) ).
fof(f9941,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,[],[f9940]) ).
fof(f9942,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,[],[f9941]) ).
fof(f9943,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(sK368(X0,X1))
& ( r2_hidden(sK368(X0,X1),X0)
| r2_hidden(sK368(X0,X1),X1) )
& ( ~ r2_hidden(sK368(X0,X1),X0)
| ~ r2_hidden(sK368(X0,X1),X1) ) )
| X0 = X1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK368]),skolemize(X2,sK368(X0,X1))],[f9942]) ).
fof(f9944,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,[],[f7997]) ).
fof(f9945,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,[],[f9944]) ).
fof(f9946,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(sK369(X0,X1))
& r2_hidden(sK369(X0,X1),X0)
& ~ r2_hidden(sK369(X0,X1),X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK369]),skolemize(X2,sK369(X0,X1))],[f9945]) ).
fof(f9947,plain,
! [X0] :
( ~ v2_membered(X0)
| ( v1_xreal_0(sK370(X0))
& ~ r2_hidden(sK370(X0),X0) )
| X0 = k1_numbers ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK370]),skolemize(X1,sK370(X0))],[f8001]) ).
fof(f9948,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_xboole_0(X0)
| ( r2_hidden(sK371(X0),X0)
& v1_xreal_0(sK371(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK371]),skolemize(X1,sK371(X0))],[f8003]) ).
fof(f9949,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,[],[f8005]) ).
fof(f9950,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,[],[f9949]) ).
fof(f9951,plain,
! [X0] :
( ( ~ v2_membered(X0)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| v1_xreal_0(X2) ) )
& ( ( r2_hidden(sK372(X0),X0)
& ~ v1_xreal_0(sK372(X0)) )
| v2_membered(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK372]),skolemize(X1,sK372(X0))],[f9950]) ).
fof(f9952,plain,
! [X0] :
( v3_ordinal1(sK373(X0))
& ~ r2_hidden(sK373(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK373]),skolemize(X1,sK373(X0))],[f8006]) ).
fof(f9953,plain,
! [X0] :
? [X1] :
( ( r2_hidden(X1,X0)
| v3_ordinal1(X1) )
& ( ~ r2_hidden(X1,X0)
| ~ v3_ordinal1(X1) ) ),
inference(nnf_transformation,[],[f8007]) ).
fof(f9954,plain,
! [X0] :
( ( r2_hidden(sK374(X0),X0)
| v3_ordinal1(sK374(X0)) )
& ( ~ r2_hidden(sK374(X0),X0)
| ~ v3_ordinal1(sK374(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK374]),skolemize(X1,sK374(X0))],[f9953]) ).
fof(f9955,plain,
! [X0] :
( ( v3_ordinal1(sK376(X0))
& r1_tarski(X0,sK376(X0)) )
| ( r2_hidden(sK375(X0),X0)
& ~ v3_ordinal1(sK375(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK375,sK376]),skolemize(X1,sK375(X0)),skolemize(X2,sK376(X0))],[f8008]) ).
fof(f9956,plain,
! [X0] :
( ( r2_hidden(sK377(X0),X0)
& ( ~ r1_tarski(sK377(X0),X0)
| ~ v3_ordinal1(sK377(X0)) ) )
| v3_ordinal1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK377]),skolemize(X1,sK377(X0))],[f8009]) ).
fof(f9957,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ( ( ~ v4_ordinal1(X0)
| ! [X2] :
( k1_ordinal1(X2) != X0
| ~ v3_ordinal1(X2) ) )
& ( ( v3_ordinal1(sK378(X0))
& k1_ordinal1(sK378(X0)) = X0 )
| v4_ordinal1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK378]),skolemize(X1,sK378(X0))],[f8018]) ).
fof(f9958,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,[],[f8020]) ).
fof(f9959,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,[],[f9958]) ).
fof(f9960,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ( ( ~ v4_ordinal1(X0)
| ! [X2] :
( ~ v3_ordinal1(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(k1_ordinal1(X2),X0) ) )
& ( ( v3_ordinal1(sK379(X0))
& r2_hidden(sK379(X0),X0)
& ~ r2_hidden(k1_ordinal1(sK379(X0)),X0) )
| v4_ordinal1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK379]),skolemize(X1,sK379(X0))],[f9959]) ).
fof(f9963,plain,
! [X0] : m2_finseq_1(sK380(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK380]),skolemize(X1,sK380(X0))],[f3361]) ).
fof(f9964,plain,
! [X0] :
( ( r2_hidden(sK381(X0),X0)
& ~ v5_membered(sK381(X0)) )
| v5_membered(k3_tarski(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK381]),skolemize(X1,sK381(X0))],[f8063]) ).
fof(f9965,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,[],[f8074]) ).
fof(f9966,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,[],[f9965]) ).
fof(f9967,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,[],[f9966]) ).
fof(f9968,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(sK382(X0,X1,X2,X3),X3)
| sK382(X0,X1,X2,X3) = X2
| sK382(X0,X1,X2,X3) = X1
| sK382(X0,X1,X2,X3) = X0 )
& ( ~ r2_hidden(sK382(X0,X1,X2,X3),X3)
| ( sK382(X0,X1,X2,X3) != X2
& sK382(X0,X1,X2,X3) != X1
& sK382(X0,X1,X2,X3) != X0 ) ) )
| X3 = k1_enumset1(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK382]),skolemize(X4,sK382(X0,X1,X2,X3))],[f9967]) ).
fof(f9969,plain,
v1_int_1(sK383),
inference(skolemize,[status(esa),new_symbols(skolem,[sK383]),skolemize(X0,sK383)],[f2726]) ).
fof(f9970,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(f9971,plain,
l1_rlvect_1(sK384),
inference(skolemize,[status(esa),new_symbols(skolem,[sK384]),skolemize(X0,sK384)],[f4964]) ).
fof(f9972,plain,
! [X0] :
( ( m2_subset_1(sK385(X0),k1_numbers,k5_numbers)
& r2_wellord2(X0,sK385(X0)) )
| ~ v1_finset_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK385]),skolemize(X1,sK385(X0))],[f8089]) ).
fof(f9973,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(f9974,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,[],[f9973]) ).
fof(f9975,plain,
! [X0,X1] :
( ( ~ r2_wellord2(X0,k1_tarski(X1))
| k1_tarski(sK386(X0)) = X0 )
& ( ! [X2] : k1_tarski(X2) != X0
| r2_wellord2(X0,k1_tarski(X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK386]),skolemize(X3,sK386(X0))],[f9974]) ).
fof(f9976,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(f9977,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(f9978,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,[],[f8105]) ).
fof(f9979,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,[],[f8106]) ).
fof(f9980,plain,
! [X0] :
( r2_wellord2(X0,sK387(X0))
& v3_ordinal1(sK387(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK387]),skolemize(X1,sK387(X0))],[f3125]) ).
fof(f9981,plain,
! [X0] :
( ( ~ v1_card_1(X0)
| ? [X1] :
( ! [X2] :
( ~ v3_ordinal1(X2)
| ~ r2_wellord2(X2,X1)
| r1_ordinal1(X1,X2) )
& X0 = X1
& v3_ordinal1(X1) ) )
& ( ! [X1] :
( ? [X2] :
( v3_ordinal1(X2)
& r2_wellord2(X2,X1)
& ~ r1_ordinal1(X1,X2) )
| X0 != X1
| ~ v3_ordinal1(X1) )
| v1_card_1(X0) ) ),
inference(nnf_transformation,[],[f8108]) ).
fof(f9982,plain,
! [X0] :
( ( ~ v1_card_1(X0)
| ? [X3] :
( ! [X4] :
( ~ v3_ordinal1(X4)
| ~ r2_wellord2(X4,X3)
| r1_ordinal1(X3,X4) )
& X0 = X3
& v3_ordinal1(X3) ) )
& ( ! [X1] :
( ? [X2] :
( v3_ordinal1(X2)
& r2_wellord2(X2,X1)
& ~ r1_ordinal1(X1,X2) )
| X0 != X1
| ~ v3_ordinal1(X1) )
| v1_card_1(X0) ) ),
inference(rectify,[],[f9981]) ).
fof(f9983,plain,
! [X0] :
( ( ~ v1_card_1(X0)
| ( ! [X4] :
( ~ v3_ordinal1(X4)
| ~ r2_wellord2(X4,sK389(X0))
| r1_ordinal1(sK389(X0),X4) )
& sK389(X0) = X0
& v3_ordinal1(sK389(X0)) ) )
& ( ! [X1] :
( ( v3_ordinal1(sK388(X1))
& r2_wellord2(sK388(X1),X1)
& ~ r1_ordinal1(X1,sK388(X1)) )
| X0 != X1
| ~ v3_ordinal1(X1) )
| v1_card_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK388,sK389]),skolemize(X2,sK388(X1)),skolemize(X3,sK389(X0))],[f9982]) ).
fof(f9984,plain,
! [X1,X2,X0] :
( ~ sP20(X1,X2,X0)
| ( ( k9_rlvect_1(X0,X1) != X2
| sP19(X0,X2,X1) )
& ( ~ sP19(X0,X2,X1)
| X2 = k9_rlvect_1(X0,X1) ) ) ),
inference(nnf_transformation,[],[f9335]) ).
fof(f9985,plain,
! [X0,X1,X2] :
( ~ sP20(X0,X1,X2)
| ( ( k9_rlvect_1(X2,X0) != X1
| sP19(X2,X1,X0) )
& ( ~ sP19(X2,X1,X0)
| k9_rlvect_1(X2,X0) = X1 ) ) ),
inference(rectify,[],[f9984]) ).
fof(f9989,plain,
! [X1,X0] :
( ~ sP23(X1,X0)
| ( ( ~ r2_qc_lang2(X0,X1)
| sP22(X0,X1) )
& ( ~ sP22(X0,X1)
| r2_qc_lang2(X0,X1) ) ) ),
inference(nnf_transformation,[],[f9339]) ).
fof(f9990,plain,
! [X0,X1] :
( ~ sP23(X0,X1)
| ( ( ~ r2_qc_lang2(X1,X0)
| sP22(X1,X0) )
& ( ~ sP22(X1,X0)
| r2_qc_lang2(X1,X0) ) ) ),
inference(rectify,[],[f9989]) ).
fof(f9991,plain,
! [X0,X1] :
( ( ~ sP22(X0,X1)
| ? [X2] :
( ? [X3] :
( sP21(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] :
( ~ sP21(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) )
| sP22(X0,X1) ) ),
inference(nnf_transformation,[],[f9338]) ).
fof(f9992,plain,
! [X0,X1] :
( ( ~ sP22(X0,X1)
| ? [X4] :
( ? [X5] :
( sP21(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] :
( ~ sP21(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) )
| sP22(X0,X1) ) ),
inference(rectify,[],[f9991]) ).
fof(f9993,plain,
! [X0,X1] :
( ( ~ sP22(X0,X1)
| ( sP21(sK393(X0,X1),sK394(X0,X1))
& k1_funct_1(sK394(X0,X1),sK393(X0,X1)) = X1
& k1_funct_1(sK394(X0,X1),np__1) = X0
& sK393(X0,X1) = k3_finseq_1(sK394(X0,X1))
& r1_xreal_0(np__1,sK393(X0,X1))
& v1_finseq_1(sK394(X0,X1))
& v1_funct_1(sK394(X0,X1))
& v1_relat_1(sK394(X0,X1))
& m2_subset_1(sK393(X0,X1),k1_numbers,k5_numbers) ) )
& ( ! [X2] :
( ! [X3] :
( ~ sP21(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) )
| sP22(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK393,sK394]),skolemize(X4,sK393(X0,X1)),skolemize(X5,sK394(X0,X1))],[f9992]) ).
fof(f9997,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(sK398(X0,X1,X2),k1_numbers,k5_numbers)
& r2_hidden(k1_nat_1(k3_finseq_1(X2),sK398(X0,X1,X2)),k4_finseq_1(k7_finseq_1(X2,X1)))
& sK398(X0,X1,X2) = X0 )
| ~ r2_hidden(X0,k4_finseq_1(X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK398]),skolemize(X3,sK398(X0,X1,X2))],[f8126]) ).
fof(f9998,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(sK399(X0,X1,X2),k1_numbers,k5_numbers)
& k1_nat_1(k3_finseq_1(X0),sK399(X0,X1,X2)) = X2
& r2_hidden(sK399(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,[sK399]),skolemize(X3,sK399(X0,X1,X2))],[f8128]) ).
fof(f9999,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(sK400(X0,X2))
& v1_funct_1(sK400(X0,X2))
& v1_relat_1(sK400(X0,X2))
& k7_finseq_1(X0,sK400(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,[sK400]),skolemize(X4,sK400(X0,X2))],[f8139]) ).
fof(f10000,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(sK401(X0,X1,X2),k1_numbers,k5_numbers)
& m1_subset_1(sK402(X0,X1,X2),u1_struct_0(X0))
& sK402(X0,X1,X2) = k1_funct_1(X2,sK401(X0,X1,X2))
& r2_hidden(sK401(X0,X1,X2),k4_finseq_1(X1))
& k1_funct_1(X1,sK401(X0,X1,X2)) != k5_rlvect_1(X0,sK402(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,[sK401,sK402]),skolemize(X3,sK401(X0,X1,X2)),skolemize(X4,sK402(X0,X1,X2))],[f8163]) ).
fof(f10001,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,[],[f8171]) ).
fof(f10002,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,[],[f10001]) ).
fof(f10003,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,[],[f8177]) ).
fof(f10004,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(sK403(X0,X1),k1_numbers,k5_numbers)
& r2_hidden(sK403(X0,X1),k4_finseq_1(X0))
& k1_funct_1(X0,sK403(X0,X1)) != k1_funct_1(X1,sK403(X0,X1)) )
| k4_finseq_1(X1) != k4_finseq_1(X0)
| X0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK403]),skolemize(X2,sK403(X0,X1))],[f8179]) ).
fof(f10005,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( m2_subset_1(sK404(X0,X1),k1_numbers,k5_numbers)
& k4_tarski(sK404(X0,X1),k1_funct_1(X1,sK404(X0,X1))) = X0
& r2_hidden(sK404(X0,X1),k4_finseq_1(X1)) )
| ~ r2_hidden(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK404]),skolemize(X2,sK404(X0,X1))],[f8181]) ).
fof(f10006,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,[],[f8185]) ).
fof(f10007,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(sK405(X1,X2,X3,X4,X6),X1)
& m1_subset_1(sK406(X1,X2,X3,X4,X6),X1)
& k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,sK405(X1,X2,X3,X4,X6),sK406(X1,X2,X3,X4,X6))) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,sK405(X1,X2,X3,X4,X6)),k8_funct_2(X1,X3,X6,sK406(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,[sK405,sK406]),skolemize(X8,sK405(X1,X2,X3,X4,X6)),skolemize(X9,sK406(X1,X2,X3,X4,X6))],[f10006]) ).
fof(f10008,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,[],[f8189]) ).
fof(f10009,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,[],[f8193]) ).
fof(f10010,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,[],[f10009]) ).
fof(f10011,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( m1_subset_1(sK407(X0,X1),u1_struct_0(X0))
& sK407(X0,X1) != k3_lattices(X0,X1,sK407(X0,X1)) )
| X1 = k5_lattices(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK407]),skolemize(X2,sK407(X0,X1))],[f8199]) ).
fof(f10012,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,[],[f8201]) ).
fof(f10013,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,[],[f8205]) ).
fof(f10014,plain,
! [X4,X2,X3,X5,X0,X1] :
( ~ sP26(X4,X2,X3,X5,X0,X1)
| ( ( k7_setwiseo(X0,X1,X2,X3,X4) != X5
| sP25(X1,X0,X5,X3,X2,X4) )
& ( ~ sP25(X1,X0,X5,X3,X2,X4)
| X5 = k7_setwiseo(X0,X1,X2,X3,X4) ) ) ),
inference(nnf_transformation,[],[f9343]) ).
fof(f10015,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sP26(X0,X1,X2,X3,X4,X5)
| ( ( k7_setwiseo(X4,X5,X1,X2,X0) != X3
| sP25(X5,X4,X3,X2,X1,X0) )
& ( ~ sP25(X5,X4,X3,X2,X1,X0)
| k7_setwiseo(X4,X5,X1,X2,X0) = X3 ) ) ),
inference(rectify,[],[f10014]) ).
fof(f10016,plain,
! [X1,X0,X5,X3,X2,X4] :
( ( ~ sP25(X1,X0,X5,X3,X2,X4)
| ? [X6] :
( sP24(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] :
( ~ sP24(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) )
| sP25(X1,X0,X5,X3,X2,X4) ) ),
inference(nnf_transformation,[],[f9342]) ).
fof(f10017,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ sP25(X0,X1,X2,X3,X4,X5)
| ? [X9] :
( sP24(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] :
( ~ sP24(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) )
| sP25(X0,X1,X2,X3,X4,X5) ) ),
inference(rectify,[],[f10016]) ).
fof(f10018,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ sP25(X0,X1,X2,X3,X4,X5)
| ( sP24(X5,X0,X1,sK410(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,sK410(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(sK410(X0,X1,X2,X3,X4,X5),k1_xboole_0) = X10 )
& k8_funct_2(k5_finsub_1(X1),X0,sK410(X0,X1,X2,X3,X4,X5),X3) = X2
& m2_relset_1(sK410(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0)
& v1_funct_2(sK410(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0)
& v1_funct_1(sK410(X0,X1,X2,X3,X4,X5)) ) )
& ( ! [X6] :
( ~ sP24(X5,X0,X1,X6,X4,X3)
| ( m1_subset_1(sK409(X0,X1,X5,X6),X1)
& k8_funct_2(X1,X0,X5,sK409(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK409(X0,X1,X5,X6))) )
| ( m1_subset_1(sK408(X0,X4,X6),X0)
& r3_binop_1(X0,sK408(X0,X4,X6),X4)
& k1_funct_1(X6,k1_xboole_0) != sK408(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) )
| sP25(X0,X1,X2,X3,X4,X5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK408,sK409,sK410]),skolemize(X7,sK408(X0,X4,X6)),skolemize(X8,sK409(X0,X1,X5,X6)),skolemize(X9,sK410(X0,X1,X2,X3,X4,X5))],[f10017]) ).
fof(f10022,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,[],[f8221]) ).
fof(f10023,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,[],[f10022]) ).
fof(f10024,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,sK413(X0,X1),X1)
& m1_subset_1(sK413(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,[sK413]),skolemize(X3,sK413(X0,X1))],[f10023]) ).
fof(f10025,plain,
l2_lattices(sK414),
inference(skolemize,[status(esa),new_symbols(skolem,[sK414]),skolemize(X0,sK414)],[f4578]) ).
fof(f10028,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,[],[f8239]) ).
fof(f10029,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(sK415(X1,X2,X3,X4,X6),X1)
& m1_subset_1(sK416(X1,X2,X3,X4,X6),X1)
& k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,sK415(X1,X2,X3,X4,X6),sK416(X1,X2,X3,X4,X6))) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,sK415(X1,X2,X3,X4,X6)),k8_funct_2(X1,X3,X6,sK416(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,[sK415,sK416]),skolemize(X8,sK415(X1,X2,X3,X4,X6)),skolemize(X9,sK416(X1,X2,X3,X4,X6))],[f10028]) ).
fof(f10030,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(sK417(X0,X1,X3,X4,X5),X1)
& r2_hidden(sK417(X0,X1,X3,X4,X5),X3)
& k8_funct_2(X1,X0,X4,sK417(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,[sK417]),skolemize(X6,sK417(X0,X1,X3,X4,X5))],[f8245]) ).
fof(f10031,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,[],[f8255]) ).
fof(f10032,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,[],[f10031]) ).
fof(f10033,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(sK418(X0,X1),X0)
& sK418(X0,X1) != k2_binop_1(X0,X0,X0,X1,sK418(X0,X1),sK418(X0,X1)) )
| v3_binop_1(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK418]),skolemize(X2,sK418(X0,X1))],[f10032]) ).
fof(f10034,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,[],[f8257]) ).
fof(f10035,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,[],[f10034]) ).
fof(f10036,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(sK419(X0,X1),X0)
& sK419(X0,X1) != k1_binop_1(X1,sK419(X0,X1),sK419(X0,X1)) )
| v3_binop_1(X1,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK419]),skolemize(X2,sK419(X0,X1))],[f10035]) ).
fof(f10037,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( m1_subset_1(sK420(X0,X1),u1_struct_0(X0))
& sK420(X0,X1) != k4_lattices(X0,X1,sK420(X0,X1)) )
| X1 = k6_lattices(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK420]),skolemize(X2,sK420(X0,X1))],[f8261]) ).
fof(f10038,plain,
! [X1,X0] :
( ~ sP28(X1,X0)
| ( ( ~ sP27(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))
| sP27(X0,X1) ) ) ),
inference(nnf_transformation,[],[f9346]) ).
fof(f10039,plain,
! [X1,X0] :
( ~ sP28(X1,X0)
| ( ( ~ sP27(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))
| sP27(X0,X1) ) ) ),
inference(flattening,[],[f10038]) ).
fof(f10040,plain,
! [X0,X1] :
( ~ sP28(X0,X1)
| ( ( ~ sP27(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))
| sP27(X1,X0) ) ) ),
inference(rectify,[],[f10039]) ).
fof(f10048,plain,
( v17_lattices(sK421)
& v16_lattices(sK421)
& v15_lattices(sK421)
& v14_lattices(sK421)
& v13_lattices(sK421)
& v11_lattices(sK421)
& v10_lattices(sK421)
& v9_lattices(sK421)
& v8_lattices(sK421)
& v7_lattices(sK421)
& v6_lattices(sK421)
& v5_lattices(sK421)
& v4_lattices(sK421)
& v3_lattices(sK421)
& ~ v3_struct_0(sK421)
& l3_lattices(sK421) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK421]),skolemize(X0,sK421)],[f4499]) ).
fof(f10049,plain,
( v16_lattices(sK422)
& v15_lattices(sK422)
& v14_lattices(sK422)
& v13_lattices(sK422)
& v10_lattices(sK422)
& v9_lattices(sK422)
& v8_lattices(sK422)
& v7_lattices(sK422)
& v6_lattices(sK422)
& v5_lattices(sK422)
& v4_lattices(sK422)
& v3_lattices(sK422)
& ~ v3_struct_0(sK422)
& l3_lattices(sK422) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK422]),skolemize(X0,sK422)],[f4496]) ).
fof(f10050,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(sK423(X0,X1,X2,X3,X4,X5),X0)
& r2_hidden(sK423(X0,X1,X2,X3,X4,X5),X1)
& k8_funct_2(X0,u1_struct_0(X2),X3,sK423(X0,X1,X2,X3,X4,X5)) != k4_lattices(X2,X5,k8_funct_2(X0,u1_struct_0(X2),X4,sK423(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,[sK423]),skolemize(X6,sK423(X0,X1,X2,X3,X4,X5))],[f8293]) ).
fof(f10051,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( m1_subset_1(sK424(X0),u1_struct_0(X0))
& m1_subset_1(sK425(X0),u1_struct_0(X0))
& m1_subset_1(sK426(X0),u1_struct_0(X0))
& k3_lattices(X0,k3_lattices(X0,k4_lattices(X0,sK424(X0),sK425(X0)),k4_lattices(X0,sK425(X0),sK426(X0))),k4_lattices(X0,sK426(X0),sK424(X0))) != k4_lattices(X0,k4_lattices(X0,k3_lattices(X0,sK424(X0),sK425(X0)),k3_lattices(X0,sK425(X0),sK426(X0))),k3_lattices(X0,sK426(X0),sK424(X0))) )
| v11_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK424,sK425,sK426]),skolemize(X1,sK424(X0)),skolemize(X2,sK425(X0)),skolemize(X3,sK426(X0))],[f8303]) ).
fof(f10052,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,[],[f8329]) ).
fof(f10053,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,[],[f10052]) ).
fof(f10057,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))) )
& sP30(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))) )
| ~ sP30(X0,X1,X2)
| X2 = k3_funct_4(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f9351]) ).
fof(f10058,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))) )
& sP30(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))) )
| ~ sP30(X0,X1,X2)
| X2 = k3_funct_4(X0,X1) ) ) ) ) ),
inference(flattening,[],[f10057]) ).
fof(f10059,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))) )
& sP30(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))) )
| ~ sP30(X0,X1,X2)
| X2 = k3_funct_4(X0,X1) ) ) ) ) ),
inference(rectify,[],[f10058]) ).
fof(f10060,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))) )
& sP30(X0,X1,X2) ) )
& ( ( r2_hidden(k4_tarski(sK438(X0,X1,X2),sK439(X0,X1,X2)),k1_relat_1(X1))
& r2_hidden(k4_tarski(sK436(X0,X1,X2),sK437(X0,X1,X2)),k1_relat_1(X0))
& k1_funct_1(X2,k4_tarski(k4_tarski(sK436(X0,X1,X2),sK438(X0,X1,X2)),k4_tarski(sK437(X0,X1,X2),sK439(X0,X1,X2)))) != k4_tarski(k1_funct_1(X0,k4_tarski(sK436(X0,X1,X2),sK437(X0,X1,X2))),k1_funct_1(X1,k4_tarski(sK438(X0,X1,X2),sK439(X0,X1,X2)))) )
| ~ sP30(X0,X1,X2)
| X2 = k3_funct_4(X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK436,sK437,sK438,sK439]),skolemize(X3,sK436(X0,X1,X2)),skolemize(X4,sK437(X0,X1,X2)),skolemize(X5,sK438(X0,X1,X2)),skolemize(X6,sK439(X0,X1,X2))],[f10059]) ).
fof(f10061,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,[],[f8347]) ).
fof(f10062,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,[],[f10061]) ).
fof(f10063,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(sK440(X0,X1,X2),X0)
& m1_subset_1(sK441(X0,X1,X2),X0)
& m1_subset_1(sK442(X0,X1,X2),X0)
& k2_binop_1(X0,X0,X0,X2,k2_binop_1(X0,X0,X0,X1,sK440(X0,X1,X2),sK441(X0,X1,X2)),sK442(X0,X1,X2)) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK440(X0,X1,X2),sK442(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK441(X0,X1,X2),sK442(X0,X1,X2))) )
| r6_binop_1(X0,X2,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK440,sK441,sK442]),skolemize(X3,sK440(X0,X1,X2)),skolemize(X4,sK441(X0,X1,X2)),skolemize(X5,sK442(X0,X1,X2))],[f10062]) ).
fof(f10064,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,[],[f8349]) ).
fof(f10065,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,[],[f10064]) ).
fof(f10066,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(sK443(X0,X1,X2),X0)
& m1_subset_1(sK444(X0,X1,X2),X0)
& m1_subset_1(sK445(X0,X1,X2),X0)
& k2_binop_1(X0,X0,X0,X2,sK443(X0,X1,X2),k2_binop_1(X0,X0,X0,X1,sK444(X0,X1,X2),sK445(X0,X1,X2))) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK443(X0,X1,X2),sK444(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK443(X0,X1,X2),sK445(X0,X1,X2))) )
| r6_binop_1(X0,X2,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK443,sK444,sK445]),skolemize(X3,sK443(X0,X1,X2)),skolemize(X4,sK444(X0,X1,X2)),skolemize(X5,sK445(X0,X1,X2))],[f10065]) ).
fof(f10067,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,[],[f8351]) ).
fof(f10068,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,[],[f10067]) ).
fof(f10069,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(sK446(X0,X1,X2),X0)
& m1_subset_1(sK447(X0,X1,X2),X0)
& m1_subset_1(sK448(X0,X1,X2),X0)
& ( k1_binop_1(X1,k1_binop_1(X2,sK446(X0,X1,X2),sK447(X0,X1,X2)),sK448(X0,X1,X2)) != k1_binop_1(X2,k1_binop_1(X1,sK446(X0,X1,X2),sK448(X0,X1,X2)),k1_binop_1(X1,sK447(X0,X1,X2),sK448(X0,X1,X2)))
| k1_binop_1(X1,sK446(X0,X1,X2),k1_binop_1(X2,sK447(X0,X1,X2),sK448(X0,X1,X2))) != k1_binop_1(X2,k1_binop_1(X1,sK446(X0,X1,X2),sK447(X0,X1,X2)),k1_binop_1(X1,sK446(X0,X1,X2),sK448(X0,X1,X2))) ) )
| r6_binop_1(X0,X1,X2) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK446,sK447,sK448]),skolemize(X3,sK446(X0,X1,X2)),skolemize(X4,sK447(X0,X1,X2)),skolemize(X5,sK448(X0,X1,X2))],[f10068]) ).
fof(f10070,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,[],[f8359]) ).
fof(f10071,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,[],[f10070]) ).
fof(f10072,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(sK449(X0,X1,X2),X0)
& sK449(X0,X1,X2) != k1_binop_1(X1,sK449(X0,X1,X2),X2) )
| r3_binop_1(X0,X2,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK449]),skolemize(X3,sK449(X0,X1,X2))],[f10071]) ).
fof(f10073,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,[],[f8361]) ).
fof(f10074,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,[],[f10073]) ).
fof(f10075,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(sK450(X0,X1,X2),X0)
& sK450(X0,X1,X2) != k1_binop_1(X1,X2,sK450(X0,X1,X2)) )
| r3_binop_1(X0,X2,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK450]),skolemize(X3,sK450(X0,X1,X2))],[f10074]) ).
fof(f10076,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,[],[f8363]) ).
fof(f10077,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,[],[f10076]) ).
fof(f10078,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(sK451(X0,X1,X2),X0)
& ( sK451(X0,X1,X2) != k1_binop_1(X1,sK451(X0,X1,X2),X2)
| sK451(X0,X1,X2) != k1_binop_1(X1,X2,sK451(X0,X1,X2)) ) )
| r3_binop_1(X0,X2,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK451]),skolemize(X3,sK451(X0,X1,X2))],[f10077]) ).
fof(f10079,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,[],[f8365]) ).
fof(f10080,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,[],[f10079]) ).
fof(f10081,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(sK452(X0,X1,X2),X0)
& m1_subset_1(sK453(X0,X1,X2),X0)
& m1_subset_1(sK454(X0,X1,X2),X0)
& m1_subset_1(sK455(X0,X1,X2),X0)
& r2_hidden(k1_domain_1(X0,X0,sK454(X0,X1,X2),sK455(X0,X1,X2)),X1)
& r2_hidden(k1_domain_1(X0,X0,sK452(X0,X1,X2),sK453(X0,X1,X2)),X1)
& ~ r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X2,sK452(X0,X1,X2),sK454(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK453(X0,X1,X2),sK455(X0,X1,X2))),X1) )
| m2_filter_1(X2,X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK452,sK453,sK454,sK455]),skolemize(X3,sK452(X0,X1,X2)),skolemize(X4,sK453(X0,X1,X2)),skolemize(X5,sK454(X0,X1,X2)),skolemize(X6,sK455(X0,X1,X2))],[f10080]) ).
fof(f10082,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,[],[f8387]) ).
fof(f10083,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,[],[f10082]) ).
fof(f10084,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,[],[f8394]) ).
fof(f10085,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,[],[f10084]) ).
fof(f10086,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,[],[f10085]) ).
fof(f10087,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(sK456(X0,X1),X0)
& sK456(X0,X1) != k1_funct_1(X1,sK456(X0,X1)) )
| k1_relat_1(X1) != X0
| X1 = k6_relat_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK456]),skolemize(X2,sK456(X0,X1))],[f10086]) ).
fof(f10088,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,[],[f8406]) ).
fof(f10089,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,[],[f10088]) ).
fof(f10090,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,[],[f8407]) ).
fof(f10091,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,[],[f10090]) ).
fof(f10092,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( r2_hidden(sK457(X0,X1),X0)
& ~ r2_hidden(k4_tarski(sK457(X0,X1),sK457(X0,X1)),X1) )
| r1_tarski(k6_relat_1(X0),X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK457]),skolemize(X2,sK457(X0,X1))],[f8409]) ).
fof(f10093,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,[],[f8410]) ).
fof(f10094,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,[],[f10093]) ).
fof(f10095,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,[],[f10094]) ).
fof(f10096,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(sK458(X0,X1),sK459(X0,X1)),X1)
| ( sK458(X0,X1) = sK459(X0,X1)
& r2_hidden(sK458(X0,X1),X0) ) )
& ( ~ r2_hidden(k4_tarski(sK458(X0,X1),sK459(X0,X1)),X1)
| sK458(X0,X1) != sK459(X0,X1)
| ~ r2_hidden(sK458(X0,X1),X0) ) )
| X1 = k6_relat_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK458,sK459]),skolemize(X2,sK458(X0,X1)),skolemize(X3,sK459(X0,X1))],[f10095]) ).
fof(f10097,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,[],[f8411]) ).
fof(f10098,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,[],[f10097]) ).
fof(f10099,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,[],[f8413]) ).
fof(f10100,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_xboole_0(X0)
| m2_filter_1(sK460(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK460]),skolemize(X2,sK460(X0,X1))],[f8444]) ).
fof(f10101,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,[],[f8456]) ).
fof(f10102,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,[],[f10101]) ).
fof(f10103,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(sK461(X0),u1_struct_0(X0))
& m1_subset_1(sK462(X0),u1_struct_0(X0))
& k1_binop_1(u1_rlvect_1(X0),sK461(X0),sK462(X0)) != k1_binop_1(u1_rlvect_1(X0),sK462(X0),sK461(X0)) )
| v3_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK461,sK462]),skolemize(X1,sK461(X0)),skolemize(X2,sK462(X0))],[f10102]) ).
fof(f10104,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,[],[f8458]) ).
fof(f10105,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,[],[f10104]) ).
fof(f10106,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(sK463(X0),u1_struct_0(X0))
& m1_subset_1(sK464(X0),u1_struct_0(X0))
& m1_subset_1(sK465(X0),u1_struct_0(X0))
& k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),sK463(X0),sK464(X0)),sK465(X0)) != k1_binop_1(u1_rlvect_1(X0),sK463(X0),k1_binop_1(u1_rlvect_1(X0),sK464(X0),sK465(X0))) )
| v4_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK463,sK464,sK465]),skolemize(X1,sK463(X0)),skolemize(X2,sK464(X0)),skolemize(X3,sK465(X0))],[f10105]) ).
fof(f10107,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,[],[f8462]) ).
fof(f10108,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,[],[f10107]) ).
fof(f10109,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(sK466(X0,X1),X0)
& m1_subset_1(sK467(X0,X1),X0)
& m1_subset_1(sK468(X0,X1),X0)
& k1_binop_1(X1,sK466(X0,X1),k1_binop_1(X1,sK467(X0,X1),sK468(X0,X1))) != k1_binop_1(X1,k1_binop_1(X1,sK466(X0,X1),sK467(X0,X1)),sK468(X0,X1)) )
| v2_binop_1(X1,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK466,sK467,sK468]),skolemize(X2,sK466(X0,X1)),skolemize(X3,sK467(X0,X1)),skolemize(X4,sK468(X0,X1))],[f10108]) ).
fof(f10110,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,[],[f8464]) ).
fof(f10111,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,[],[f10110]) ).
fof(f10112,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(sK469(X0,X1),X0)
& m1_subset_1(sK470(X0,X1),X0)
& k1_binop_1(X1,sK469(X0,X1),sK470(X0,X1)) != k1_binop_1(X1,sK470(X0,X1),sK469(X0,X1)) )
| v1_binop_1(X1,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK469,sK470]),skolemize(X2,sK469(X0,X1)),skolemize(X3,sK470(X0,X1))],[f10111]) ).
fof(f10113,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,[],[f8470]) ).
fof(f10114,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,[],[f8475]) ).
fof(f10115,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,sK471(X0,X1,X2)))
| ~ r2_hidden(X2,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK471]),skolemize(X3,sK471(X0,X1,X2))],[f8479]) ).
fof(f10116,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,[],[f8483]) ).
fof(f10119,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,[],[f8490]) ).
fof(f10120,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(sK472(X0,X1,X2,X3,X4),X0)
& r2_hidden(sK472(X0,X1,X2,X3,X4),X1)
& ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,sK472(X0,X1,X2,X3,X4)),k8_funct_2(X0,u1_struct_0(X2),X4,sK472(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,[sK472]),skolemize(X5,sK472(X0,X1,X2,X3,X4))],[f8496]) ).
fof(f10121,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(sK473(X0,X1,X2,X3,X4),X0)
& r2_hidden(sK473(X0,X1,X2,X3,X4),X1)
& ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,sK473(X0,X1,X2,X3,X4)),X4) )
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),X4) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK473]),skolemize(X5,sK473(X0,X1,X2,X3,X4))],[f8498]) ).
fof(f10122,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(sK474(X0,X1,X2,X3,X4),X1)
& r2_hidden(sK474(X0,X1,X2,X3,X4),X2)
& ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,sK474(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK474(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,[sK474]),skolemize(X5,sK474(X0,X1,X2,X3,X4))],[f8504]) ).
fof(f10123,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(sK475(X0,X1,X2,X3,X4),X2)
& r2_hidden(sK475(X0,X1,X2,X3,X4),X3)
& ~ r3_lattices(X0,k8_funct_2(X2,u1_struct_0(X0),X4,sK475(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,[sK475]),skolemize(X5,sK475(X0,X1,X2,X3,X4))],[f8506]) ).
fof(f10124,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(sK476(X0,X1,X2,X3,X4),X2)
& r2_hidden(sK476(X0,X1,X2,X3,X4),X3)
& k8_funct_2(X2,u1_struct_0(X0),X4,sK476(X0,X1,X2,X3,X4)) != X1 )
| k2_lattice2(X2,X0,X3,X4) = X1
| X3 = k1_xboole_0 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK476]),skolemize(X5,sK476(X0,X1,X2,X3,X4))],[f8510]) ).
fof(f10125,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(sK477(X0,X1,X2,X3,X4),X0)
& r2_hidden(sK477(X0,X1,X2,X3,X4),X1)
& ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,sK477(X0,X1,X2,X3,X4)),k8_funct_2(X0,u1_struct_0(X2),X4,sK477(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,[sK477]),skolemize(X5,sK477(X0,X1,X2,X3,X4))],[f8522]) ).
fof(f10126,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(sK478(X0,X1,X2,X3,X4),X0)
& r2_hidden(sK478(X0,X1,X2,X3,X4),X1)
& ~ r3_lattices(X2,X4,k8_funct_2(X0,u1_struct_0(X2),X3,sK478(X0,X1,X2,X3,X4))) )
| r3_lattices(X2,X4,k3_lattice2(X0,X2,X1,X3)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK478]),skolemize(X5,sK478(X0,X1,X2,X3,X4))],[f8524]) ).
fof(f10127,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(sK479(X0,X1,X2,X3,X4),X1)
& r2_hidden(sK479(X0,X1,X2,X3,X4),X2)
& ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,sK479(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK479(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,[sK479]),skolemize(X5,sK479(X0,X1,X2,X3,X4))],[f8528]) ).
fof(f10128,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(sK480(X0,X1,X2,X3,X4),X2)
& r2_hidden(sK480(X0,X1,X2,X3,X4),X3)
& ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,sK480(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,[sK480]),skolemize(X5,sK480(X0,X1,X2,X3,X4))],[f8530]) ).
fof(f10129,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(sK481(X0,X1,X2,X3,X4),X2)
& r2_hidden(sK481(X0,X1,X2,X3,X4),X3)
& k8_funct_2(X2,u1_struct_0(X0),X4,sK481(X0,X1,X2,X3,X4)) != X1 )
| k3_lattice2(X2,X0,X3,X4) = X1
| X3 = k1_xboole_0 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK481]),skolemize(X5,sK481(X0,X1,X2,X3,X4))],[f8536]) ).
fof(f10130,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,[],[f8543]) ).
fof(f10131,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(sK482(X0,X1),X0)
& m1_subset_1(sK483(X0,X1),X0)
& sK482(X0,X1) != sK483(X0,X1)
& r2_hidden(sK483(X0,X1),X1)
& r2_hidden(sK482(X0,X1),X1) )
| v1_realset1(X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK482,sK483]),skolemize(X2,sK482(X0,X1)),skolemize(X3,sK483(X0,X1))],[f8547]) ).
fof(f10132,plain,
! [X0] :
( ( ~ v1_realset1(X0)
| ! [X3,X4] :
( X3 = X4
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X0) ) )
& ( ( sK484(X0) != sK485(X0)
& r2_hidden(sK485(X0),X0)
& r2_hidden(sK484(X0),X0) )
| v1_realset1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK484,sK485]),skolemize(X1,sK484(X0)),skolemize(X2,sK485(X0))],[f8548]) ).
fof(f10133,plain,
! [X0] :
( v1_xboole_0(X0)
| ( m1_subset_1(sK486(X0),X0)
& v1_xboole_0(k4_xboole_0(X0,k1_tarski(sK486(X0)))) )
| ~ v1_realset1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK486]),skolemize(X1,sK486(X0))],[f8550]) ).
fof(f10134,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_realset1(X0)
| ( m1_subset_1(sK487(X0),X0)
& v1_xboole_0(k4_xboole_0(X0,k1_tarski(sK487(X0)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK487]),skolemize(X1,sK487(X0))],[f8552]) ).
fof(f10135,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,[],[f8553]) ).
fof(f10136,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,[],[f10135]) ).
fof(f10137,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(sK488(X0))))
| ~ v1_realset1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK488]),skolemize(X1,sK488(X0))],[f10136]) ).
fof(f10138,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,[],[f8554]) ).
fof(f10139,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,[],[f10138]) ).
fof(f10140,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,[],[f10139]) ).
fof(f10141,plain,
! [X0] :
( ( ~ v1_realset1(X0)
| k1_tarski(sK489(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,[sK489]),skolemize(X2,sK489(X0))],[f10140]) ).
fof(f10142,plain,
( ~ v1_realset1(sK490)
& ~ v1_xboole_0(sK490) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK490]),skolemize(X0,sK490)],[f4065]) ).
fof(f10143,plain,
( v1_realset1(sK491)
& ~ v1_xboole_0(sK491) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK491]),skolemize(X0,sK491)],[f4064]) ).
fof(f10144,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| m3_realset1(sK492(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK492]),skolemize(X2,sK492(X0,X1))],[f8556]) ).
fof(f10145,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,[],[f8559]) ).
fof(f10146,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,[],[f10145]) ).
fof(f10147,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(sK493(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,sK493(X0,X1,X2)),k4_xboole_0(X0,k1_tarski(X1))) )
| m3_realset1(X2,X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK493]),skolemize(X3,sK493(X0,X1,X2))],[f10146]) ).
fof(f10148,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,[],[f8571]) ).
fof(f10149,plain,
l1_lattices(sK494),
inference(skolemize,[status(esa),new_symbols(skolem,[sK494]),skolemize(X0,sK494)],[f4576]) ).
fof(f10150,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ( ~ v1_xboole_0(sK495(X0))
& m1_subset_1(sK495(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK495]),skolemize(X1,sK495(X0))],[f8599]) ).
fof(f10151,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(f10152,plain,
! [X0] :
( v1_xboole_0(X0)
| ( m1_subset_1(sK496(X0),X0)
& m1_subset_1(sK497(X0),X0)
& ( ~ r2_hidden(k2_xboole_0(sK496(X0),sK497(X0)),X0)
| ~ r2_hidden(k5_xboole_0(sK496(X0),sK497(X0)),X0) ) )
| v4_finsub_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK496,sK497]),skolemize(X1,sK496(X0)),skolemize(X2,sK497(X0))],[f8608]) ).
fof(f10153,plain,
! [X0] :
( v1_xboole_0(X0)
| ( m1_subset_1(sK498(X0),X0)
& m1_subset_1(sK499(X0),X0)
& ( ~ r2_hidden(k3_xboole_0(sK498(X0),sK499(X0)),X0)
| ~ r2_hidden(k5_xboole_0(sK498(X0),sK499(X0)),X0) ) )
| v4_finsub_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK498,sK499]),skolemize(X1,sK498(X0)),skolemize(X2,sK499(X0))],[f8610]) ).
fof(f10154,plain,
! [X0] :
( v1_xboole_0(X0)
| ( m1_subset_1(sK500(X0),X0)
& m1_subset_1(sK501(X0),X0)
& ( ~ r2_hidden(k4_xboole_0(sK500(X0),sK501(X0)),X0)
| ~ r2_hidden(k5_xboole_0(sK500(X0),sK501(X0)),X0) ) )
| v4_finsub_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK500,sK501]),skolemize(X1,sK500(X0)),skolemize(X2,sK501(X0))],[f8612]) ).
fof(f10155,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(f10156,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,[],[f10155]) ).
fof(f10157,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,[],[f8624]) ).
fof(f10158,plain,
! [X0,X1,X2] :
( ( ( ~ r2_hidden(sK502(X0,X1,X2),X0)
| ( ( ~ r2_hidden(sK502(X0,X1,X2),X1)
| r2_hidden(sK502(X0,X1,X2),X2) )
& ( ~ r2_hidden(sK502(X0,X1,X2),X2)
| r2_hidden(sK502(X0,X1,X2),X1) ) ) )
& ( r2_hidden(sK502(X0,X1,X2),X0)
| ( ( r2_hidden(sK502(X0,X1,X2),X1)
| r2_hidden(sK502(X0,X1,X2),X2) )
& ( ~ r2_hidden(sK502(X0,X1,X2),X1)
| ~ r2_hidden(sK502(X0,X1,X2),X2) ) ) ) )
| X0 = k5_xboole_0(X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK502]),skolemize(X3,sK502(X0,X1,X2))],[f10157]) ).
fof(f10159,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,[],[f8625]) ).
fof(f10160,plain,
! [X0] :
( ( ~ v1_classes2(X0)
| ( v2_classes1(X0)
& v1_ordinal1(X0) ) )
& ( ~ v2_classes1(X0)
| ~ v1_ordinal1(X0)
| v1_classes2(X0) ) ),
inference(nnf_transformation,[],[f3613]) ).
fof(f10161,plain,
! [X0] :
( ( ~ v1_classes2(X0)
| ( v2_classes1(X0)
& v1_ordinal1(X0) ) )
& ( ~ v2_classes1(X0)
| ~ v1_ordinal1(X0)
| v1_classes2(X0) ) ),
inference(flattening,[],[f10160]) ).
fof(f10162,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ( v4_ordinal1(sK503(X0))
& r2_hidden(X0,sK503(X0))
& v3_ordinal1(sK503(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK503]),skolemize(X1,sK503(X0))],[f8659]) ).
fof(f10163,plain,
! [X0] :
( ( ~ v4_ordinal1(X0)
| X0 = k3_tarski(X0) )
& ( k3_tarski(X0) != X0
| v4_ordinal1(X0) ) ),
inference(nnf_transformation,[],[f1229]) ).
fof(f10164,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,[],[f8661]) ).
fof(f10165,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,[],[f10164]) ).
fof(f10166,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(sK504(X0,X1,X2),u1_struct_0(X0))
& m1_subset_1(sK505(X0,X1,X2),u1_struct_0(X0))
& k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,sK504(X0,X1,X2),sK505(X0,X1,X2))) != k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK504(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK505(X0,X1,X2))) )
| v1_group_6(X2,X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK504,sK505]),skolemize(X3,sK504(X0,X1,X2)),skolemize(X4,sK505(X0,X1,X2))],[f10165]) ).
fof(f10167,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,sK506(X0,X1,X2),X1) = X2
& m1_subset_1(sK506(X0,X1,X2),u1_struct_0(X0)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK506]),skolemize(X3,sK506(X0,X1,X2))],[f8679]) ).
fof(f10168,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,X1,sK507(X0,X1,X2)) = X2
& m1_subset_1(sK507(X0,X1,X2),u1_struct_0(X0)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK507]),skolemize(X3,sK507(X0,X1,X2))],[f8681]) ).
fof(f10169,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(sK508(X0,X1),u1_struct_0(X0))
& ( sK508(X0,X1) != k1_group_1(X0,X1,sK508(X0,X1))
| sK508(X0,X1) != k1_group_1(X0,sK508(X0,X1),X1) ) )
| X1 = k2_group_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK508]),skolemize(X2,sK508(X0,X1))],[f8687]) ).
fof(f10172,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))
& ( ! [X4] :
( k1_group_1(X0,X4,X1) != X2
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ! [X3] :
( k1_group_1(X0,X1,X3) != X2
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) ) ) )
| sP33(X0)
| ( v3_group_1(X0)
& v4_group_1(X0) ) ),
inference(rectify,[],[f9357]) ).
fof(f10173,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( m1_subset_1(sK512(X0),u1_struct_0(X0))
& m1_subset_1(sK513(X0),u1_struct_0(X0))
& ( ! [X4] :
( sK513(X0) != k1_group_1(X0,X4,sK512(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ! [X3] :
( sK513(X0) != k1_group_1(X0,sK512(X0),X3)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) ) )
| sP33(X0)
| ( v3_group_1(X0)
& v4_group_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK512,sK513]),skolemize(X1,sK512(X0)),skolemize(X2,sK513(X0))],[f10172]) ).
fof(f10176,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sP34(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))
& ( ! [X3] :
( k1_group_1(X0,X3,X2) != X1
| k1_group_1(X0,X2,X3) != X1
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| k1_group_1(X0,X1,X2) != X2
| k1_group_1(X0,X2,X1) != X2 ) ) ) ),
inference(rectify,[],[f9359]) ).
fof(f10177,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sP34(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))
| ( m1_subset_1(sK517(X0,X1),u1_struct_0(X0))
& ( ! [X3] :
( k1_group_1(X0,X3,sK517(X0,X1)) != X1
| k1_group_1(X0,sK517(X0,X1),X3) != X1
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| sK517(X0,X1) != k1_group_1(X0,X1,sK517(X0,X1))
| sK517(X0,X1) != k1_group_1(X0,sK517(X0,X1),X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK517]),skolemize(X2,sK517(X0,X1))],[f10176]) ).
fof(f10178,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( ( ~ v4_group_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_group_1(X0,k1_group_1(X0,X1,X2),X3) = k1_group_1(X0,X1,k1_group_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_group_1(X0,k1_group_1(X0,X1,X2),X3) != k1_group_1(X0,X1,k1_group_1(X0,X2,X3)) ) ) )
| v4_group_1(X0) ) ) ),
inference(nnf_transformation,[],[f8693]) ).
fof(f10179,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( ( ~ v4_group_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_group_1(X0,k1_group_1(X0,X4,X5),X6) = k1_group_1(X0,X4,k1_group_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_group_1(X0,k1_group_1(X0,X1,X2),X3) != k1_group_1(X0,X1,k1_group_1(X0,X2,X3)) ) ) )
| v4_group_1(X0) ) ) ),
inference(rectify,[],[f10178]) ).
fof(f10180,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( ( ~ v4_group_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_group_1(X0,k1_group_1(X0,X4,X5),X6) = k1_group_1(X0,X4,k1_group_1(X0,X5,X6)) ) ) ) )
& ( ( m1_subset_1(sK518(X0),u1_struct_0(X0))
& m1_subset_1(sK519(X0),u1_struct_0(X0))
& m1_subset_1(sK520(X0),u1_struct_0(X0))
& k1_group_1(X0,k1_group_1(X0,sK518(X0),sK519(X0)),sK520(X0)) != k1_group_1(X0,sK518(X0),k1_group_1(X0,sK519(X0),sK520(X0))) )
| v4_group_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK518,sK519,sK520]),skolemize(X1,sK518(X0)),skolemize(X2,sK519(X0)),skolemize(X3,sK520(X0))],[f10179]) ).
fof(f10181,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( ( ~ v3_group_1(X0)
| ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ? [X3] :
( k1_group_1(X0,X3,X2) = X1
& k1_group_1(X0,X2,X3) = X1
& m1_subset_1(X3,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))
& ( ! [X3] :
( k1_group_1(X0,X3,X2) != X1
| k1_group_1(X0,X2,X3) != X1
| ~ m1_subset_1(X3,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)) )
| v3_group_1(X0) ) ) ),
inference(nnf_transformation,[],[f8695]) ).
fof(f10182,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( ( ~ v3_group_1(X0)
| ? [X4] :
( ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ( ? [X6] :
( k1_group_1(X0,X6,X5) = X4
& k1_group_1(X0,X5,X6) = X4
& m1_subset_1(X6,u1_struct_0(X0)) )
& k1_group_1(X0,X4,X5) = X5
& k1_group_1(X0,X5,X4) = X5 ) )
& m1_subset_1(X4,u1_struct_0(X0)) ) )
& ( ! [X1] :
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ( ! [X3] :
( k1_group_1(X0,X3,X2) != X1
| k1_group_1(X0,X2,X3) != X1
| ~ m1_subset_1(X3,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)) )
| v3_group_1(X0) ) ) ),
inference(rectify,[],[f10181]) ).
fof(f10183,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( ( ~ v3_group_1(X0)
| ( ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ( sK522(X0) = k1_group_1(X0,sK523(X0,X5),X5)
& sK522(X0) = k1_group_1(X0,X5,sK523(X0,X5))
& m1_subset_1(sK523(X0,X5),u1_struct_0(X0))
& k1_group_1(X0,sK522(X0),X5) = X5
& k1_group_1(X0,X5,sK522(X0)) = X5 ) )
& m1_subset_1(sK522(X0),u1_struct_0(X0)) ) )
& ( ! [X1] :
( ( m1_subset_1(sK521(X0,X1),u1_struct_0(X0))
& ( ! [X3] :
( k1_group_1(X0,X3,sK521(X0,X1)) != X1
| k1_group_1(X0,sK521(X0,X1),X3) != X1
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| sK521(X0,X1) != k1_group_1(X0,X1,sK521(X0,X1))
| sK521(X0,X1) != k1_group_1(X0,sK521(X0,X1),X1) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_group_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK521,sK522,sK523]),skolemize(X2,sK521(X0,X1)),skolemize(X4,sK522(X0)),skolemize(X6,sK523(X0,X5))],[f10182]) ).
fof(f10184,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v1_int_1(X1)
| ( m2_subset_1(sK524(X0,X1),k1_numbers,k5_numbers)
& r1_xreal_0(np__1,sK524(X0,X1))
& k6_xcmplx_0(X1,X0) = sK524(X0,X1) )
| r1_xreal_0(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK524]),skolemize(X2,sK524(X0,X1))],[f8715]) ).
fof(f10185,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ( ( ~ v2_xreal_0(X0)
| ~ r1_xreal_0(X0,np__0) )
& ( r1_xreal_0(X0,np__0)
| v2_xreal_0(X0) ) ) ),
inference(nnf_transformation,[],[f8740]) ).
fof(f10186,plain,
( ~ v3_xreal_0(sK525)
& ~ v2_xreal_0(sK525)
& v1_xreal_0(sK525)
& v1_xcmplx_0(sK525)
& v1_xboole_0(sK525) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK525]),skolemize(X0,sK525)],[f2694]) ).
fof(f10187,plain,
( v3_xreal_0(sK526)
& ~ v2_xreal_0(sK526)
& v1_xreal_0(sK526)
& v1_xcmplx_0(sK526)
& ~ v1_xboole_0(sK526) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK526]),skolemize(X0,sK526)],[f2693]) ).
fof(f10188,plain,
( ~ v3_xreal_0(sK527)
& v2_xreal_0(sK527)
& v1_xreal_0(sK527)
& v1_xcmplx_0(sK527)
& ~ v1_xboole_0(sK527) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK527]),skolemize(X0,sK527)],[f2692]) ).
fof(f10189,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ( ( ~ v3_xreal_0(X0)
| ~ r1_xreal_0(np__0,X0) )
& ( r1_xreal_0(np__0,X0)
| v3_xreal_0(X0) ) ) ),
inference(nnf_transformation,[],[f8762]) ).
fof(f10191,plain,
! [X0] :
( ( ~ sP36(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)
| sP36(X0) ) ),
inference(nnf_transformation,[],[f9361]) ).
fof(f10192,plain,
! [X0] :
( ( ~ sP36(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)
| sP36(X0) ) ),
inference(flattening,[],[f10191]) ).
fof(f10196,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ sP35(X0)
| sP36(X0) )
& ( ~ sP36(X0)
| sP35(X0) ) ) ),
inference(nnf_transformation,[],[f9362]) ).
fof(f10197,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,[],[f8780]) ).
fof(f10198,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,[],[f8784]) ).
fof(f10199,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,[],[f10198]) ).
fof(f10200,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,sK533(X0,X3))
& m1_subset_1(sK533(X0,X3),u1_struct_0(X0)) ) ) )
& ( ( m1_subset_1(sK532(X0),u1_struct_0(X0))
& ! [X2] :
( k1_rlvect_1(X0) != k2_rlvect_1(X0,sK532(X0),X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| v6_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK532,sK533]),skolemize(X1,sK532(X0)),skolemize(X4,sK533(X0,X3))],[f10199]) ).
fof(f10201,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,[],[f8786]) ).
fof(f10202,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,[],[f10201]) ).
fof(f10203,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(sK534(X0),u1_struct_0(X0))
& sK534(X0) != k2_rlvect_1(X0,sK534(X0),k1_rlvect_1(X0)) )
| v5_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK534]),skolemize(X1,sK534(X0))],[f10202]) ).
fof(f10204,plain,
! [X0] :
( ( r2_hidden(sK535(X0),X0)
& ~ v3_ordinal1(sK535(X0)) )
| v3_ordinal1(k1_setfam_1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK535]),skolemize(X1,sK535(X0))],[f8797]) ).
fof(f10205,plain,
! [X0,X1] :
( ( r2_hidden(sK536(X0,X1),X0)
& ~ r1_tarski(X1,sK536(X0,X1)) )
| r1_tarski(X1,k1_setfam_1(X0))
| X0 = k1_xboole_0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK536]),skolemize(X2,sK536(X0,X1))],[f8806]) ).
fof(f10206,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,[],[f8809]) ).
fof(f10207,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,[],[f10206]) ).
fof(f10208,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(sK539(X0,X5),X0)
& ~ r2_hidden(X5,sK539(X0,X5)) )
| r2_hidden(X5,X1) ) ) )
& ( ( ( r2_hidden(sK537(X0,X1),X1)
| ! [X4] :
( ~ r2_hidden(X4,X0)
| r2_hidden(sK537(X0,X1),X4) ) )
& ( ~ r2_hidden(sK537(X0,X1),X1)
| ( r2_hidden(sK538(X0,X1),X0)
& ~ r2_hidden(sK537(X0,X1),sK538(X0,X1)) ) ) )
| X1 = k1_setfam_1(X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK537,sK538,sK539]),skolemize(X2,sK537(X0,X1)),skolemize(X3,sK538(X0,X1)),skolemize(X6,sK539(X0,X5))],[f10207]) ).
fof(f10213,plain,
! [X0,X1,X2,X3,X4] :
( ( k2_enumset1(X0,X1,X2,X3) != X4
| sP37(X0,X1,X2,X3,X4) )
& ( ~ sP37(X0,X1,X2,X3,X4)
| X4 = k2_enumset1(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f9364]) ).
fof(f10217,plain,
! [X0,X1,X2] :
( ( k1_funct_2(X0,X1) != X2
| sP38(X0,X1,X2) )
& ( ~ sP38(X0,X1,X2)
| X2 = k1_funct_2(X0,X1) ) ),
inference(nnf_transformation,[],[f9366]) ).
fof(f10218,plain,
! [X0] :
( ~ v1_card_1(X0)
| ( ( ~ r2_hidden(np__0,X0)
| r1_tarski(np__1,X0) )
& ( ~ r1_tarski(np__1,X0)
| r2_hidden(np__0,X0) ) ) ),
inference(nnf_transformation,[],[f8834]) ).
fof(f10219,plain,
! [X0] :
( ~ v1_card_1(X0)
| ~ v1_finset_1(X0)
| ( k1_card_1(sK544(X0)) = X0
& m2_subset_1(sK544(X0),k1_numbers,k5_numbers) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK544]),skolemize(X1,sK544(X0))],[f8839]) ).
fof(f10220,plain,
! [X0] :
( ~ v1_card_1(X0)
| ! [X1] :
( ~ v1_card_1(X1)
| ( ( ~ r2_hidden(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( r1_tarski(X1,X0)
| r2_hidden(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f8844]) ).
fof(f10221,plain,
! [X0] :
( ~ v1_card_1(X0)
| ! [X1] :
( ~ v1_card_1(X1)
| ( ( ~ r2_hidden(X0,X1)
| ( X0 != X1
& r1_tarski(X0,X1) ) )
& ( X0 = X1
| ~ r1_tarski(X0,X1)
| r2_hidden(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f8845]) ).
fof(f10222,plain,
! [X0] :
( ~ v1_card_1(X0)
| ! [X1] :
( ~ v1_card_1(X1)
| ( ( ~ r2_hidden(X0,X1)
| ( X0 != X1
& r1_tarski(X0,X1) ) )
& ( X0 = X1
| ~ r1_tarski(X0,X1)
| r2_hidden(X0,X1) ) ) ) ),
inference(flattening,[],[f10221]) ).
fof(f10223,plain,
v1_card_1(sK545),
inference(skolemize,[status(esa),new_symbols(skolem,[sK545]),skolemize(X0,sK545)],[f3114]) ).
fof(f10224,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ( ( ~ r1_xreal_0(X0,X1)
| r1_ordinal1(X0,X1) )
& ( ~ r1_ordinal1(X0,X1)
| r1_xreal_0(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f8846]) ).
fof(f10225,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ! [X1] :
( ~ v3_ordinal1(X1)
| ( ( ~ r1_ordinal1(X0,X1)
| r1_ordinal1(k1_ordinal1(X0),k1_ordinal1(X1)) )
& ( ~ r1_ordinal1(k1_ordinal1(X0),k1_ordinal1(X1))
| r1_ordinal1(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f8849]) ).
fof(f10226,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| ( ( ~ r1_ordinal1(X0,X1)
| r1_tarski(X0,X1) )
& ( ~ r1_tarski(X0,X1)
| r1_ordinal1(X0,X1) ) ) ),
inference(nnf_transformation,[],[f8851]) ).
fof(f10227,plain,
! [X0] :
( ! [X2] :
( ~ v3_ordinal1(X2)
| r2_hidden(X2,X0)
| r1_ordinal1(sK546(X0),X2) )
& ~ r2_hidden(sK546(X0),X0)
& v3_ordinal1(sK546(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK546]),skolemize(X1,sK546(X0))],[f8857]) ).
fof(f10228,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ! [X1] :
( ~ v3_ordinal1(X1)
| ( ( ~ r2_hidden(X0,k1_ordinal1(X1))
| r1_ordinal1(X0,X1) )
& ( ~ r1_ordinal1(X0,X1)
| r2_hidden(X0,k1_ordinal1(X1)) ) ) ) ),
inference(nnf_transformation,[],[f8858]) ).
fof(f10229,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ! [X1] :
( ~ v3_ordinal1(X1)
| ( ( ~ r2_hidden(X0,X1)
| r1_ordinal1(k1_ordinal1(X0),X1) )
& ( ~ r1_ordinal1(k1_ordinal1(X0),X1)
| r2_hidden(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f8859]) ).
fof(f10230,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ( v3_ordinal1(sK547(X0))
& ! [X3] :
( ~ v3_ordinal1(X3)
| ~ r2_hidden(X3,X0)
| r1_ordinal1(sK547(X0),X3) )
& r2_hidden(sK547(X0),X0) )
| k1_xboole_0 = X0
| ~ r1_tarski(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK547]),skolemize(X2,sK547(X0))],[f8861]) ).
fof(f10231,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,sK548(X0,X1,X2)) = X2
& m1_subset_1(sK548(X0,X1,X2),u1_struct_0(X0)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK548]),skolemize(X3,sK548(X0,X1,X2))],[f8875]) ).
fof(f10232,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,[],[f8877]) ).
fof(f10233,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,[],[f10232]) ).
fof(f10234,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(sK549(X0),u1_struct_0(X0))
& m1_subset_1(sK550(X0),u1_struct_0(X0))
& m1_subset_1(sK551(X0),u1_struct_0(X0))
& k2_rlvect_1(X0,k2_rlvect_1(X0,sK549(X0),sK550(X0)),sK551(X0)) != k2_rlvect_1(X0,sK549(X0),k2_rlvect_1(X0,sK550(X0),sK551(X0))) )
| v4_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK549,sK550,sK551]),skolemize(X1,sK549(X0)),skolemize(X2,sK550(X0)),skolemize(X3,sK551(X0))],[f10233]) ).
fof(f10235,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,[],[f8879]) ).
fof(f10236,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,[],[f10235]) ).
fof(f10237,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(sK552(X0),u1_struct_0(X0))
& m1_subset_1(sK553(X0),u1_struct_0(X0))
& k2_rlvect_1(X0,sK552(X0),sK553(X0)) != k2_rlvect_1(X0,sK553(X0),sK552(X0)) )
| v3_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK552,sK553]),skolemize(X1,sK552(X0)),skolemize(X2,sK553(X0))],[f10236]) ).
fof(f10238,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ( m1_subset_1(sK554(X1),k8_qc_lang1)
& r1_qc_lang2(sK554(X1),X1) )
| ~ r3_qc_lang2(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK554]),skolemize(X2,sK554(X1))],[f8889]) ).
fof(f10239,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m2_subset_1(X2,k1_qc_lang1,k2_qc_lang1)
| ( ( ~ r1_qc_lang2(X0,k14_qc_lang1(X2,X1))
| X0 = X1 )
& ( X0 != X1
| r1_qc_lang2(X0,k14_qc_lang1(X2,X1)) ) ) ) ) ),
inference(nnf_transformation,[],[f8896]) ).
fof(f10240,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ( ( ~ r1_qc_lang2(X0,k13_qc_lang1(X1,X2))
| X0 = X2
| X0 = X1 )
& ( ( X0 != X2
& X0 != X1 )
| r1_qc_lang2(X0,k13_qc_lang1(X1,X2)) ) ) ) ) ),
inference(nnf_transformation,[],[f8897]) ).
fof(f10241,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ( ( ~ r1_qc_lang2(X0,k13_qc_lang1(X1,X2))
| X0 = X2
| X0 = X1 )
& ( ( X0 != X2
& X0 != X1 )
| r1_qc_lang2(X0,k13_qc_lang1(X1,X2)) ) ) ) ) ),
inference(flattening,[],[f10240]) ).
fof(f10242,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ( ( ~ r1_qc_lang2(X0,k12_qc_lang1(X1))
| X0 = X1 )
& ( X0 != X1
| r1_qc_lang2(X0,k12_qc_lang1(X1)) ) ) ) ),
inference(nnf_transformation,[],[f8898]) ).
fof(f10243,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ( ( ~ r1_qc_lang2(X0,X1)
| ? [X3] :
( m2_subset_1(X3,k1_qc_lang1,k2_qc_lang1)
& k14_qc_lang1(X3,X0) = X1 )
| ? [X2] :
( m1_subset_1(X2,k8_qc_lang1)
& ( k13_qc_lang1(X2,X0) = X1
| k13_qc_lang1(X0,X2) = X1 ) )
| k12_qc_lang1(X0) = X1 )
& ( ( ! [X3] :
( ~ m2_subset_1(X3,k1_qc_lang1,k2_qc_lang1)
| k14_qc_lang1(X3,X0) != X1 )
& ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ( k13_qc_lang1(X2,X0) != X1
& k13_qc_lang1(X0,X2) != X1 ) )
& k12_qc_lang1(X0) != X1 )
| r1_qc_lang2(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f8900]) ).
fof(f10244,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ( ( ~ r1_qc_lang2(X0,X1)
| ? [X3] :
( m2_subset_1(X3,k1_qc_lang1,k2_qc_lang1)
& k14_qc_lang1(X3,X0) = X1 )
| ? [X2] :
( m1_subset_1(X2,k8_qc_lang1)
& ( k13_qc_lang1(X2,X0) = X1
| k13_qc_lang1(X0,X2) = X1 ) )
| k12_qc_lang1(X0) = X1 )
& ( ( ! [X3] :
( ~ m2_subset_1(X3,k1_qc_lang1,k2_qc_lang1)
| k14_qc_lang1(X3,X0) != X1 )
& ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ( k13_qc_lang1(X2,X0) != X1
& k13_qc_lang1(X0,X2) != X1 ) )
& k12_qc_lang1(X0) != X1 )
| r1_qc_lang2(X0,X1) ) ) ) ),
inference(flattening,[],[f10243]) ).
fof(f10245,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ( ( ~ r1_qc_lang2(X0,X1)
| ? [X5] :
( m2_subset_1(X5,k1_qc_lang1,k2_qc_lang1)
& k14_qc_lang1(X5,X0) = X1 )
| ? [X4] :
( m1_subset_1(X4,k8_qc_lang1)
& ( k13_qc_lang1(X4,X0) = X1
| k13_qc_lang1(X0,X4) = X1 ) )
| k12_qc_lang1(X0) = X1 )
& ( ( ! [X3] :
( ~ m2_subset_1(X3,k1_qc_lang1,k2_qc_lang1)
| k14_qc_lang1(X3,X0) != X1 )
& ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ( k13_qc_lang1(X2,X0) != X1
& k13_qc_lang1(X0,X2) != X1 ) )
& k12_qc_lang1(X0) != X1 )
| r1_qc_lang2(X0,X1) ) ) ) ),
inference(rectify,[],[f10244]) ).
fof(f10246,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ( ( ~ r1_qc_lang2(X0,X1)
| ( m2_subset_1(sK556(X0,X1),k1_qc_lang1,k2_qc_lang1)
& k14_qc_lang1(sK556(X0,X1),X0) = X1 )
| ( m1_subset_1(sK555(X0,X1),k8_qc_lang1)
& ( k13_qc_lang1(sK555(X0,X1),X0) = X1
| k13_qc_lang1(X0,sK555(X0,X1)) = X1 ) )
| k12_qc_lang1(X0) = X1 )
& ( ( ! [X3] :
( ~ m2_subset_1(X3,k1_qc_lang1,k2_qc_lang1)
| k14_qc_lang1(X3,X0) != X1 )
& ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ( k13_qc_lang1(X2,X0) != X1
& k13_qc_lang1(X0,X2) != X1 ) )
& k12_qc_lang1(X0) != X1 )
| r1_qc_lang2(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK555,sK556]),skolemize(X4,sK555(X0,X1)),skolemize(X5,sK556(X0,X1))],[f10245]) ).
fof(f10247,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ( k15_qc_lang2(X0) != X1
| ! [X2] :
( ( ~ r2_hidden(X2,X1)
| ? [X3] :
( r2_qc_lang2(X3,X0)
& X3 = X2
& m1_subset_1(X3,k8_qc_lang1) ) )
& ( ! [X3] :
( ~ r2_qc_lang2(X3,X0)
| X2 != X3
| ~ m1_subset_1(X3,k8_qc_lang1) )
| r2_hidden(X2,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| ? [X3] :
( r2_qc_lang2(X3,X0)
& X3 = X2
& m1_subset_1(X3,k8_qc_lang1) ) )
& ( ~ r2_hidden(X2,X1)
| ! [X3] :
( ~ r2_qc_lang2(X3,X0)
| X2 != X3
| ~ m1_subset_1(X3,k8_qc_lang1) ) ) )
| X1 = k15_qc_lang2(X0) ) ) ),
inference(nnf_transformation,[],[f8907]) ).
fof(f10248,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ( k15_qc_lang2(X0) != X1
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| ? [X7] :
( r2_qc_lang2(X7,X0)
& X5 = X7
& m1_subset_1(X7,k8_qc_lang1) ) )
& ( ! [X6] :
( ~ r2_qc_lang2(X6,X0)
| X5 != X6
| ~ m1_subset_1(X6,k8_qc_lang1) )
| r2_hidden(X5,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| ? [X4] :
( r2_qc_lang2(X4,X0)
& X2 = X4
& m1_subset_1(X4,k8_qc_lang1) ) )
& ( ~ r2_hidden(X2,X1)
| ! [X3] :
( ~ r2_qc_lang2(X3,X0)
| X2 != X3
| ~ m1_subset_1(X3,k8_qc_lang1) ) ) )
| X1 = k15_qc_lang2(X0) ) ) ),
inference(rectify,[],[f10247]) ).
fof(f10249,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ( k15_qc_lang2(X0) != X1
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| ( r2_qc_lang2(sK559(X0,X5),X0)
& sK559(X0,X5) = X5
& m1_subset_1(sK559(X0,X5),k8_qc_lang1) ) )
& ( ! [X6] :
( ~ r2_qc_lang2(X6,X0)
| X5 != X6
| ~ m1_subset_1(X6,k8_qc_lang1) )
| r2_hidden(X5,X1) ) ) )
& ( ( ( r2_hidden(sK557(X0,X1),X1)
| ( r2_qc_lang2(sK558(X0,X1),X0)
& sK557(X0,X1) = sK558(X0,X1)
& m1_subset_1(sK558(X0,X1),k8_qc_lang1) ) )
& ( ~ r2_hidden(sK557(X0,X1),X1)
| ! [X3] :
( ~ r2_qc_lang2(X3,X0)
| sK557(X0,X1) != X3
| ~ m1_subset_1(X3,k8_qc_lang1) ) ) )
| X1 = k15_qc_lang2(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK557,sK558,sK559]),skolemize(X2,sK557(X0,X1)),skolemize(X4,sK558(X0,X1)),skolemize(X7,sK559(X0,X5))],[f10248]) ).
fof(f10250,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ( ( ~ r2_qc_lang2(X0,k11_qc_lang1)
| X0 = k11_qc_lang1 )
& ( k11_qc_lang1 != X0
| r2_qc_lang2(X0,k11_qc_lang1) ) ) ),
inference(nnf_transformation,[],[f8908]) ).
fof(f10251,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m2_subset_1(X2,k1_qc_lang1,k2_qc_lang1)
| ( ( ~ r2_qc_lang2(X0,X1)
| r3_qc_lang2(X0,k14_qc_lang1(X2,X1)) )
& ( ~ r3_qc_lang2(X0,k14_qc_lang1(X2,X1))
| r2_qc_lang2(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f8911]) ).
fof(f10252,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ( ( ( ~ r2_qc_lang2(X0,X2)
& ~ r2_qc_lang2(X0,X1) )
| r3_qc_lang2(X0,k13_qc_lang1(X1,X2)) )
& ( ~ r3_qc_lang2(X0,k13_qc_lang1(X1,X2))
| r2_qc_lang2(X0,X2)
| r2_qc_lang2(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f8914]) ).
fof(f10253,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ! [X2] :
( ~ m1_subset_1(X2,k8_qc_lang1)
| ( ( ( ~ r2_qc_lang2(X0,X2)
& ~ r2_qc_lang2(X0,X1) )
| r3_qc_lang2(X0,k13_qc_lang1(X1,X2)) )
& ( ~ r3_qc_lang2(X0,k13_qc_lang1(X1,X2))
| r2_qc_lang2(X0,X2)
| r2_qc_lang2(X0,X1) ) ) ) ) ),
inference(flattening,[],[f10252]) ).
fof(f10254,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ( ( ~ r2_qc_lang2(X0,X1)
| r3_qc_lang2(X0,k12_qc_lang1(X1)) )
& ( ~ r3_qc_lang2(X0,k12_qc_lang1(X1))
| r2_qc_lang2(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f8917]) ).
fof(f10255,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ( ( ~ r3_qc_lang2(X0,X1)
| ( X0 != X1
& r2_qc_lang2(X0,X1) ) )
& ( X0 = X1
| ~ r2_qc_lang2(X0,X1)
| r3_qc_lang2(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f8924]) ).
fof(f10256,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ( ( ~ r3_qc_lang2(X0,X1)
| ( X0 != X1
& r2_qc_lang2(X0,X1) ) )
& ( X0 = X1
| ~ r2_qc_lang2(X0,X1)
| r3_qc_lang2(X0,X1) ) ) ) ),
inference(flattening,[],[f10255]) ).
fof(f10257,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finseq_1(sK560(X0))
& v1_funct_1(sK560(X0))
& v1_relat_1(sK560(X0))
& k7_finseq_1(sK560(X0),k9_finseq_1(sK561(X0))) = X0 )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK560,sK561]),skolemize(X1,sK560(X0)),skolemize(X2,sK561(X0))],[f8928]) ).
fof(f10258,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ( k9_finseq_1(X0) != X1
| ( k1_funct_1(X1,np__1) = X0
& k3_finseq_1(X1) = np__1 ) )
& ( k1_funct_1(X1,np__1) != X0
| np__1 != k3_finseq_1(X1)
| X1 = k9_finseq_1(X0) ) ) ),
inference(nnf_transformation,[],[f8932]) ).
fof(f10259,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ( k9_finseq_1(X0) != X1
| ( k1_funct_1(X1,np__1) = X0
& k3_finseq_1(X1) = np__1 ) )
& ( k1_funct_1(X1,np__1) != X0
| np__1 != k3_finseq_1(X1)
| X1 = k9_finseq_1(X0) ) ) ),
inference(flattening,[],[f10258]) ).
fof(f10260,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)
& k3_finseq_1(X1) = np__1 ) )
& ( k1_tarski(X0) != k2_relat_1(X1)
| np__1 != k3_finseq_1(X1)
| X1 = k9_finseq_1(X0) ) ) ),
inference(nnf_transformation,[],[f8934]) ).
fof(f10261,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)
& k3_finseq_1(X1) = np__1 ) )
& ( k1_tarski(X0) != k2_relat_1(X1)
| np__1 != k3_finseq_1(X1)
| X1 = k9_finseq_1(X0) ) ) ),
inference(flattening,[],[f10260]) ).
fof(f10262,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ( k9_finseq_1(X0) != X1
| ( k1_funct_1(X1,np__1) = X0
& k1_relat_1(X1) = k2_finseq_1(np__1) ) )
& ( k1_funct_1(X1,np__1) != X0
| k1_relat_1(X1) != k2_finseq_1(np__1)
| X1 = k9_finseq_1(X0) ) ) ),
inference(nnf_transformation,[],[f8936]) ).
fof(f10263,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ( k9_finseq_1(X0) != X1
| ( k1_funct_1(X1,np__1) = X0
& k1_relat_1(X1) = k2_finseq_1(np__1) ) )
& ( k1_funct_1(X1,np__1) != X0
| k1_relat_1(X1) != k2_finseq_1(np__1)
| X1 = k9_finseq_1(X0) ) ) ),
inference(flattening,[],[f10262]) ).
fof(f10264,plain,
l2_rlvect_1(sK562),
inference(skolemize,[status(esa),new_symbols(skolem,[sK562]),skolemize(X0,sK562)],[f4966]) ).
fof(f10265,plain,
( ~ v3_struct_0(sK563)
& l2_rlvect_1(sK563) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK563]),skolemize(X0,sK563)],[f4848]) ).
fof(f10266,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finset_1(X1)
| ( r1_rfinseq(k7_relat_1(X0,X1),sK564(X0,X1))
& v1_finseq_1(sK564(X0,X1))
& v1_funct_1(sK564(X0,X1))
& v1_relat_1(sK564(X0,X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK564]),skolemize(X2,sK564(X0,X1))],[f8969]) ).
fof(f10267,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_rfinseq(X0,X1)
| ? [X2] :
( X0 = k5_relat_1(X2,X1)
& m2_relset_1(X2,k4_finseq_1(X1),k4_finseq_1(X1))
& v3_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
& v1_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
& v1_funct_1(X2) ) )
& ( ! [X2] :
( k5_relat_1(X2,X1) != X0
| ~ m2_relset_1(X2,k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v3_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v1_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v1_funct_1(X2) )
| r1_rfinseq(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f8971]) ).
fof(f10268,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_rfinseq(X0,X1)
| ? [X3] :
( k5_relat_1(X3,X1) = X0
& m2_relset_1(X3,k4_finseq_1(X1),k4_finseq_1(X1))
& v3_funct_2(X3,k4_finseq_1(X1),k4_finseq_1(X1))
& v1_funct_2(X3,k4_finseq_1(X1),k4_finseq_1(X1))
& v1_funct_1(X3) ) )
& ( ! [X2] :
( k5_relat_1(X2,X1) != X0
| ~ m2_relset_1(X2,k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v3_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v1_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v1_funct_1(X2) )
| r1_rfinseq(X0,X1) ) ) ) ),
inference(rectify,[],[f10267]) ).
fof(f10269,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_rfinseq(X0,X1)
| ( k5_relat_1(sK565(X0,X1),X1) = X0
& m2_relset_1(sK565(X0,X1),k4_finseq_1(X1),k4_finseq_1(X1))
& v3_funct_2(sK565(X0,X1),k4_finseq_1(X1),k4_finseq_1(X1))
& v1_funct_2(sK565(X0,X1),k4_finseq_1(X1),k4_finseq_1(X1))
& v1_funct_1(sK565(X0,X1)) ) )
& ( ! [X2] :
( k5_relat_1(X2,X1) != X0
| ~ m2_relset_1(X2,k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v3_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v1_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v1_funct_1(X2) )
| r1_rfinseq(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK565]),skolemize(X3,sK565(X0,X1))],[f10268]) ).
fof(f10270,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)
| ( ( ~ r1_rfinseq(X0,X1)
| r1_rfinseq(k7_finseq_1(X0,X2),k7_finseq_1(X1,X2)) )
& ( ~ r1_rfinseq(k7_finseq_1(X0,X2),k7_finseq_1(X1,X2))
| r1_rfinseq(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f8975]) ).
fof(f10271,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X0) != k1_relat_1(X1)
| ( ( ~ r1_rfinseq(X0,X1)
| ? [X2] :
( X0 = k5_relat_1(X2,X1)
& m2_relset_1(X2,k1_relat_1(X0),k1_relat_1(X0))
& v3_funct_2(X2,k1_relat_1(X0),k1_relat_1(X0))
& v1_funct_2(X2,k1_relat_1(X0),k1_relat_1(X0))
& v1_funct_1(X2) ) )
& ( ! [X2] :
( k5_relat_1(X2,X1) != X0
| ~ m2_relset_1(X2,k1_relat_1(X0),k1_relat_1(X0))
| ~ v3_funct_2(X2,k1_relat_1(X0),k1_relat_1(X0))
| ~ v1_funct_2(X2,k1_relat_1(X0),k1_relat_1(X0))
| ~ v1_funct_1(X2) )
| r1_rfinseq(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f8979]) ).
fof(f10272,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X0) != k1_relat_1(X1)
| ( ( ~ r1_rfinseq(X0,X1)
| ? [X3] :
( k5_relat_1(X3,X1) = X0
& m2_relset_1(X3,k1_relat_1(X0),k1_relat_1(X0))
& v3_funct_2(X3,k1_relat_1(X0),k1_relat_1(X0))
& v1_funct_2(X3,k1_relat_1(X0),k1_relat_1(X0))
& v1_funct_1(X3) ) )
& ( ! [X2] :
( k5_relat_1(X2,X1) != X0
| ~ m2_relset_1(X2,k1_relat_1(X0),k1_relat_1(X0))
| ~ v3_funct_2(X2,k1_relat_1(X0),k1_relat_1(X0))
| ~ v1_funct_2(X2,k1_relat_1(X0),k1_relat_1(X0))
| ~ v1_funct_1(X2) )
| r1_rfinseq(X0,X1) ) ) ) ),
inference(rectify,[],[f10271]) ).
fof(f10273,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X0) != k1_relat_1(X1)
| ( ( ~ r1_rfinseq(X0,X1)
| ( k5_relat_1(sK566(X0,X1),X1) = X0
& m2_relset_1(sK566(X0,X1),k1_relat_1(X0),k1_relat_1(X0))
& v3_funct_2(sK566(X0,X1),k1_relat_1(X0),k1_relat_1(X0))
& v1_funct_2(sK566(X0,X1),k1_relat_1(X0),k1_relat_1(X0))
& v1_funct_1(sK566(X0,X1)) ) )
& ( ! [X2] :
( k5_relat_1(X2,X1) != X0
| ~ m2_relset_1(X2,k1_relat_1(X0),k1_relat_1(X0))
| ~ v3_funct_2(X2,k1_relat_1(X0),k1_relat_1(X0))
| ~ v1_funct_2(X2,k1_relat_1(X0),k1_relat_1(X0))
| ~ v1_funct_1(X2) )
| r1_rfinseq(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK566]),skolemize(X3,sK566(X0,X1))],[f10272]) ).
fof(f10274,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X2),X0)
| ~ r1_tarski(k2_relat_1(X1),X0)
| ( ( ~ r1_rfinseq(X1,X2)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_card_1(k10_relat_1(X1,k1_tarski(X3))) = k1_card_1(k10_relat_1(X2,k1_tarski(X3))) ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& k1_card_1(k10_relat_1(X1,k1_tarski(X3))) != k1_card_1(k10_relat_1(X2,k1_tarski(X3))) )
| r1_rfinseq(X1,X2) ) ) ) ) ),
inference(nnf_transformation,[],[f8981]) ).
fof(f10275,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X2),X0)
| ~ r1_tarski(k2_relat_1(X1),X0)
| ( ( ~ r1_rfinseq(X1,X2)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k1_card_1(k10_relat_1(X1,k1_tarski(X4))) = k1_card_1(k10_relat_1(X2,k1_tarski(X4))) ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& k1_card_1(k10_relat_1(X1,k1_tarski(X3))) != k1_card_1(k10_relat_1(X2,k1_tarski(X3))) )
| r1_rfinseq(X1,X2) ) ) ) ) ),
inference(rectify,[],[f10274]) ).
fof(f10276,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X2),X0)
| ~ r1_tarski(k2_relat_1(X1),X0)
| ( ( ~ r1_rfinseq(X1,X2)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k1_card_1(k10_relat_1(X1,k1_tarski(X4))) = k1_card_1(k10_relat_1(X2,k1_tarski(X4))) ) )
& ( ( m1_subset_1(sK567(X0,X1,X2),X0)
& k1_card_1(k10_relat_1(X1,k1_tarski(sK567(X0,X1,X2)))) != k1_card_1(k10_relat_1(X2,k1_tarski(sK567(X0,X1,X2)))) )
| r1_rfinseq(X1,X2) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK567]),skolemize(X3,sK567(X0,X1,X2))],[f10275]) ).
fof(f10277,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ( ~ r1_rfinseq(X0,X1)
| ! [X2] : k1_card_1(k10_relat_1(X0,X2)) = k1_card_1(k10_relat_1(X1,X2)) )
& ( ? [X2] : k1_card_1(k10_relat_1(X0,X2)) != k1_card_1(k10_relat_1(X1,X2))
| r1_rfinseq(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f8983]) ).
fof(f10278,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ( ~ r1_rfinseq(X0,X1)
| ! [X3] : k1_card_1(k10_relat_1(X0,X3)) = k1_card_1(k10_relat_1(X1,X3)) )
& ( ? [X2] : k1_card_1(k10_relat_1(X0,X2)) != k1_card_1(k10_relat_1(X1,X2))
| r1_rfinseq(X0,X1) ) ) ) ),
inference(rectify,[],[f10277]) ).
fof(f10279,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ( ~ r1_rfinseq(X0,X1)
| ! [X3] : k1_card_1(k10_relat_1(X0,X3)) = k1_card_1(k10_relat_1(X1,X3)) )
& ( k1_card_1(k10_relat_1(X0,sK568(X0,X1))) != k1_card_1(k10_relat_1(X1,sK568(X0,X1)))
| r1_rfinseq(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK568]),skolemize(X2,sK568(X0,X1))],[f10278]) ).
fof(f10280,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ( ~ r1_rfinseq(X0,X1)
| ? [X2] :
( X0 = k5_relat_1(X2,X1)
& v2_funct_1(X2)
& k2_relat_1(X2) = k1_relat_1(X1)
& k1_relat_1(X2) = k1_relat_1(X0)
& v1_funct_1(X2)
& v1_relat_1(X2) ) )
& ( ! [X2] :
( k5_relat_1(X2,X1) != X0
| ~ v2_funct_1(X2)
| k1_relat_1(X1) != k2_relat_1(X2)
| k1_relat_1(X0) != k1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| r1_rfinseq(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f8985]) ).
fof(f10281,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ( ~ r1_rfinseq(X0,X1)
| ? [X3] :
( k5_relat_1(X3,X1) = X0
& v2_funct_1(X3)
& k1_relat_1(X1) = k2_relat_1(X3)
& k1_relat_1(X0) = k1_relat_1(X3)
& v1_funct_1(X3)
& v1_relat_1(X3) ) )
& ( ! [X2] :
( k5_relat_1(X2,X1) != X0
| ~ v2_funct_1(X2)
| k1_relat_1(X1) != k2_relat_1(X2)
| k1_relat_1(X0) != k1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| r1_rfinseq(X0,X1) ) ) ) ),
inference(rectify,[],[f10280]) ).
fof(f10282,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ( ~ r1_rfinseq(X0,X1)
| ( k5_relat_1(sK569(X0,X1),X1) = X0
& v2_funct_1(sK569(X0,X1))
& k1_relat_1(X1) = k2_relat_1(sK569(X0,X1))
& k1_relat_1(X0) = k1_relat_1(sK569(X0,X1))
& v1_funct_1(sK569(X0,X1))
& v1_relat_1(sK569(X0,X1)) ) )
& ( ! [X2] :
( k5_relat_1(X2,X1) != X0
| ~ v2_funct_1(X2)
| k1_relat_1(X1) != k2_relat_1(X2)
| k1_relat_1(X0) != k1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| r1_rfinseq(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK569]),skolemize(X3,sK569(X0,X1))],[f10281]) ).
fof(f10283,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ( ( ~ r1_rfinseq(X0,X1)
| ! [X2] : k1_card_1(k10_relat_1(X0,k1_tarski(X2))) = k1_card_1(k10_relat_1(X1,k1_tarski(X2))) )
& ( ? [X2] : k1_card_1(k10_relat_1(X0,k1_tarski(X2))) != k1_card_1(k10_relat_1(X1,k1_tarski(X2)))
| r1_rfinseq(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f8990]) ).
fof(f10284,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ( ( ~ r1_rfinseq(X0,X1)
| ! [X3] : k1_card_1(k10_relat_1(X1,k1_tarski(X3))) = k1_card_1(k10_relat_1(X0,k1_tarski(X3))) )
& ( ? [X2] : k1_card_1(k10_relat_1(X0,k1_tarski(X2))) != k1_card_1(k10_relat_1(X1,k1_tarski(X2)))
| r1_rfinseq(X0,X1) ) ) ) ),
inference(rectify,[],[f10283]) ).
fof(f10285,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ( ( ~ r1_rfinseq(X0,X1)
| ! [X3] : k1_card_1(k10_relat_1(X1,k1_tarski(X3))) = k1_card_1(k10_relat_1(X0,k1_tarski(X3))) )
& ( k1_card_1(k10_relat_1(X0,k1_tarski(sK570(X0,X1)))) != k1_card_1(k10_relat_1(X1,k1_tarski(sK570(X0,X1))))
| r1_rfinseq(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK570]),skolemize(X2,sK570(X0,X1))],[f10284]) ).
fof(f10286,plain,
( v3_realset2(sK571)
& v4_group_1(sK571)
& v3_group_1(sK571)
& v2_group_1(sK571)
& ~ v3_struct_0(sK571)
& l1_group_1(sK571) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK571]),skolemize(X0,sK571)],[f6164]) ).
fof(f10287,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,[],[f8994]) ).
fof(f10288,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,[],[f10287]) ).
fof(f10289,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(sK572(X0,X1),u1_struct_0(X0))
& ( sK572(X0,X1) != k1_group_1(X0,X1,sK572(X0,X1))
| sK572(X0,X1) != k1_group_1(X0,sK572(X0,X1),X1) ) )
| X1 = k2_group_1(X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK572]),skolemize(X2,sK572(X0,X1))],[f10288]) ).
fof(f10290,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,[],[f8996]) ).
fof(f10291,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,[],[f10290]) ).
fof(f10292,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,sK574(X0),X4) = X4
& k1_group_1(X0,X4,sK574(X0)) = X4 ) )
& m1_subset_1(sK574(X0),u1_struct_0(X0)) ) )
& ( ! [X1] :
( ( m1_subset_1(sK573(X0,X1),u1_struct_0(X0))
& ( sK573(X0,X1) != k1_group_1(X0,X1,sK573(X0,X1))
| sK573(X0,X1) != k1_group_1(X0,sK573(X0,X1),X1) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v2_group_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK573,sK574]),skolemize(X2,sK573(X0,X1)),skolemize(X3,sK574(X0))],[f10291]) ).
fof(f10293,plain,
( v7_group_1(sK575)
& v4_group_1(sK575)
& v3_group_1(sK575)
& v2_group_1(sK575)
& v1_group_1(sK575)
& ~ v3_struct_0(sK575)
& l1_group_1(sK575) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK575]),skolemize(X0,sK575)],[f4993]) ).
fof(f10294,plain,
( v4_group_1(sK576)
& v3_group_1(sK576)
& v2_group_1(sK576)
& v1_group_1(sK576)
& ~ v3_struct_0(sK576)
& l1_group_1(sK576) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK576]),skolemize(X0,sK576)],[f4992]) ).
fof(f10295,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,[],[f9017]) ).
fof(f10296,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,[],[f10295]) ).
fof(f10300,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)
| sP39(X4,X3,X2,X1,X0)
| ( m1_subset_1(sK578(X0,X1,X2,X3,X4),X0)
& m1_subset_1(sK579(X0,X1,X2,X3,X4),X0)
& k8_funct_2(X0,X1,X3,sK578(X0,X1,X2,X3,X4)) = k8_funct_2(X0,X1,X3,sK579(X0,X1,X2,X3,X4))
& k8_funct_2(X0,X2,X4,sK578(X0,X1,X2,X3,X4)) != k8_funct_2(X0,X2,X4,sK579(X0,X1,X2,X3,X4)) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK578,sK579]),skolemize(X5,sK578(X0,X1,X2,X3,X4)),skolemize(X6,sK579(X0,X1,X2,X3,X4))],[f9368]) ).
fof(f10301,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(sK580(X0,X2,X3,X6),k5_finsub_1(X2))
& m1_subset_1(sK581(X0,X2,X3,X6),k5_finsub_1(X2))
& k8_funct_2(k5_finsub_1(X2),X0,X6,k5_setwiseo(X2,sK580(X0,X2,X3,X6),sK581(X0,X2,X3,X6))) != k2_binop_1(X0,X0,X0,X3,k8_funct_2(k5_finsub_1(X2),X0,X6,sK580(X0,X2,X3,X6)),k8_funct_2(k5_finsub_1(X2),X0,X6,sK581(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,[sK580,sK581]),skolemize(X7,sK580(X0,X2,X3,X6)),skolemize(X8,sK581(X0,X2,X3,X6))],[f9025]) ).
fof(f10302,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(sK582(X0,X1,X2,X3,X4),X0)
& r2_hidden(sK582(X0,X1,X2,X3,X4),X2)
& ~ r2_hidden(k8_funct_2(X0,X1,X4,sK582(X0,X1,X2,X3,X4)),X3) )
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK582]),skolemize(X5,sK582(X0,X1,X2,X3,X4))],[f9067]) ).
fof(f10303,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(sK583(X0,X2,X3,X4),X0)
& k1_funct_1(X3,sK583(X0,X2,X3,X4)) = X4
& r2_hidden(sK583(X0,X2,X3,X4),X2) )
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK583]),skolemize(X5,sK583(X0,X2,X3,X4))],[f9077]) ).
fof(f10304,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,sK584(X0,X2,X3,X4)) = X4
& r2_hidden(sK584(X0,X2,X3,X4),X2)
& r2_hidden(sK584(X0,X2,X3,X4),X0) )
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK584]),skolemize(X5,sK584(X0,X2,X3,X4))],[f9079]) ).
fof(f10309,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(sK586(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK586]),skolemize(X2,sK586(X0,X1))],[f9109]) ).
fof(f10310,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,[],[f9115]) ).
fof(f10311,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,[],[f10310]) ).
fof(f10312,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(sK587(X0,X1,X2),u1_struct_0(X0))
& m1_subset_1(sK588(X0,X1,X2),u1_struct_0(X0))
& ( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,sK587(X0,X1,X2),sK588(X0,X1,X2))) != k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK587(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK588(X0,X1,X2)))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,sK587(X0,X1,X2),sK588(X0,X1,X2))) != k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK587(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK588(X0,X1,X2))) ) )
| m1_lattice4(X2,X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK587,sK588]),skolemize(X3,sK587(X0,X1,X2)),skolemize(X4,sK588(X0,X1,X2))],[f10311]) ).
fof(f10313,plain,
l1_cat_1(sK589),
inference(skolemize,[status(esa),new_symbols(skolem,[sK589]),skolemize(X0,sK589)],[f4447]) ).
fof(f10314,plain,
( v2_cat_1(sK590)
& l1_cat_1(sK590) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK590]),skolemize(X0,sK590)],[f4283]) ).
fof(f10315,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,[],[f9144]) ).
fof(f10316,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,[],[f10315]) ).
fof(f10317,plain,
! [X1,X0,X2] :
( ~ sP41(X1,X0,X2)
| ( ( k8_relat_1(X0,X2) != X1
| sP40(X2,X0,X1) )
& ( ~ sP40(X2,X0,X1)
| X1 = k8_relat_1(X0,X2) ) ) ),
inference(nnf_transformation,[],[f9370]) ).
fof(f10318,plain,
! [X0,X1,X2] :
( ~ sP41(X0,X1,X2)
| ( ( k8_relat_1(X1,X2) != X0
| sP40(X2,X1,X0) )
& ( ~ sP40(X2,X1,X0)
| k8_relat_1(X1,X2) = X0 ) ) ),
inference(rectify,[],[f10317]) ).
fof(f10323,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,[],[f9180]) ).
fof(f10324,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,[],[f10323]) ).
fof(f10325,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,[],[f9181]) ).
fof(f10326,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,[],[f10325]) ).
fof(f10327,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,[],[f10326]) ).
fof(f10328,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(sK593(X0,X1,X2),sK594(X0,X1,X2)),X2)
| ( r2_hidden(k4_tarski(sK593(X0,X1,X2),sK594(X0,X1,X2)),X1)
& r2_hidden(sK594(X0,X1,X2),X0) ) )
& ( ~ r2_hidden(k4_tarski(sK593(X0,X1,X2),sK594(X0,X1,X2)),X2)
| ~ r2_hidden(k4_tarski(sK593(X0,X1,X2),sK594(X0,X1,X2)),X1)
| ~ r2_hidden(sK594(X0,X1,X2),X0) ) )
| X2 = k8_relat_1(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK593,sK594]),skolemize(X3,sK593(X0,X1,X2)),skolemize(X4,sK594(X0,X1,X2))],[f10327]) ).
fof(f10329,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,[],[f9200]) ).
fof(f10330,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,[],[f9214]) ).
fof(f10331,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,[],[f10330]) ).
fof(f10332,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(sK595(X0,X1),sK596(X0,X1)),X1)
| r2_hidden(k4_tarski(sK596(X0,X1),sK595(X0,X1)),X0) )
& ( ~ r2_hidden(k4_tarski(sK595(X0,X1),sK596(X0,X1)),X1)
| ~ r2_hidden(k4_tarski(sK596(X0,X1),sK595(X0,X1)),X0) ) )
| X1 = k4_relat_1(X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK595,sK596]),skolemize(X2,sK595(X0,X1)),skolemize(X3,sK596(X0,X1))],[f10331]) ).
fof(f10333,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,[],[f9217]) ).
fof(f10334,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,[],[f10333]) ).
fof(f10335,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,[],[f9219]) ).
fof(f10336,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,[],[f10335]) ).
fof(f10337,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(sK597(X0,X1,X2),X0)
& sK597(X0,X1,X2) != k2_binop_1(X0,X0,X0,X2,sK597(X0,X1,X2),X1) )
| r2_binop_1(X0,X1,X2) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK597]),skolemize(X3,sK597(X0,X1,X2))],[f10336]) ).
fof(f10338,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,[],[f9223]) ).
fof(f10339,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,[],[f9225]) ).
fof(f10340,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,[],[f9227]) ).
fof(f10341,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,[],[f10340]) ).
fof(f10342,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,[],[f9229]) ).
fof(f10343,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,[],[f10342]) ).
fof(f10344,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(sK598(X0,X1,X2),X0)
& sK598(X0,X1,X2) != k1_binop_1(X2,sK598(X0,X1,X2),X1) )
| r2_binop_1(X0,X1,X2) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK598]),skolemize(X3,sK598(X0,X1,X2))],[f10343]) ).
fof(f10345,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,[],[f9231]) ).
fof(f10346,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,[],[f10345]) ).
fof(f10347,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,[],[f9233]) ).
fof(f10348,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,[],[f10347]) ).
fof(f10349,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(sK599(X0,X1,X2),X0)
& sK599(X0,X1,X2) != k2_binop_1(X0,X0,X0,X2,X1,sK599(X0,X1,X2)) )
| r1_binop_1(X0,X1,X2) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK599]),skolemize(X3,sK599(X0,X1,X2))],[f10348]) ).
fof(f10350,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,[],[f9235]) ).
fof(f10351,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,[],[f9237]) ).
fof(f10352,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,[],[f10351]) ).
fof(f10353,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(sK600(X0,X1,X2),X0)
& sK600(X0,X1,X2) != k1_binop_1(X2,X1,sK600(X0,X1,X2)) )
| r1_binop_1(X0,X1,X2) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK600]),skolemize(X3,sK600(X0,X1,X2))],[f10352]) ).
fof(f10354,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(f10355,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(sK601(X0,X1),X0,X1)
& v1_partfun1(sK601(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(sK601(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(sK601(X0,X1))
& v1_relat_1(sK601(X0,X1))
& ~ v1_xboole_0(sK601(X0,X1))
& m1_relset_1(sK601(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK601]),skolemize(X2,sK601(X0,X1))],[f9246]) ).
fof(f10356,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,[],[f9254]) ).
fof(f10357,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(sK602(X0,X2,X3,X4),X0)
& r2_hidden(sK602(X0,X2,X3,X4),X4)
& k1_funct_1(X2,sK602(X0,X2,X3,X4)) != k1_funct_1(X3,sK602(X0,X2,X3,X4)) )
| k1_funct_4(X3,k2_partfun1(X0,X1,X2,X4)) = X3 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK602]),skolemize(X5,sK602(X0,X2,X3,X4))],[f9256]) ).
fof(f10358,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(sK603(X0,X2,X3,X4),X0)
& r2_hidden(sK603(X0,X2,X3,X4),X2)
& k1_funct_1(X3,sK603(X0,X2,X3,X4)) != k1_funct_1(X4,sK603(X0,X2,X3,X4)) )
| k1_funct_4(X4,k2_partfun1(X0,X1,X3,X2)) = X4 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK603]),skolemize(X5,sK603(X0,X2,X3,X4))],[f9262]) ).
fof(f10359,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,[],[f9270]) ).
fof(f10360,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,[],[f10359]) ).
fof(f10361,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(sK604(X0,X2,X3,X4),X0)
& r2_hidden(sK604(X0,X2,X3,X4),X2)
& k1_funct_1(X3,sK604(X0,X2,X3,X4)) != k1_funct_1(X4,sK604(X0,X2,X3,X4)) )
| k2_partfun1(X0,X1,X3,X2) = k2_partfun1(X0,X1,X4,X2) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK604]),skolemize(X5,sK604(X0,X2,X3,X4))],[f10360]) ).
fof(f10362,plain,
l3_vectsp_1(sK605),
inference(skolemize,[status(esa),new_symbols(skolem,[sK605]),skolemize(X0,sK605)],[f5280]) ).
fof(f10363,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,[],[f9284]) ).
fof(f10364,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,[],[f10363]) ).
fof(f10365,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( ( ~ v3_realset2(X0)
| u1_struct_0(X0) = k1_tarski(sK606(X0)) )
& ( ! [X1] : k1_tarski(X1) != u1_struct_0(X0)
| v3_realset2(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK606]),skolemize(X2,sK606(X0))],[f10364]) ).
fof(f10366,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,[],[f9285]) ).
fof(f10367,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,[],[f10366]) ).
fof(f10368,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(sK607(X0),u1_struct_0(X0))
& m1_subset_1(sK608(X0),u1_struct_0(X0))
& sK607(X0) != sK608(X0) )
| v3_realset2(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK607,sK608]),skolemize(X1,sK607(X0)),skolemize(X2,sK608(X0))],[f10367]) ).
fof(f10369,plain,
( v3_realset2(sK609)
& l1_struct_0(sK609) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK609]),skolemize(X0,sK609)],[f5305]) ).
fof(f10370,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,[],[f9289]) ).
fof(f10371,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,[],[f10370]) ).
fof(f10372,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,[],[f9301]) ).
fof(f10373,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,[],[f10372]) ).
fof(f10374,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,[],[f10373]) ).
fof(f10375,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(sK610(X0,X1,X2),X0)
& r1_tarski(X1,sK610(X0,X1,X2))
& ~ r1_tarski(X2,sK610(X0,X1,X2)) )
| ~ r1_tarski(X1,X2)
| X2 = k3_filter_0(X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK610]),skolemize(X3,sK610(X0,X1,X2))],[f10374]) ).
fof(f10376,plain,
l1_pre_topc(sK42),
inference(cnf_transformation,[],[f9372]) ).
fof(f10377,plain,
v2_pre_topc(sK42),
inference(cnf_transformation,[],[f9372]) ).
fof(f10378,plain,
~ v3_struct_0(sK42),
inference(cnf_transformation,[],[f9372]) ).
fof(f10379,plain,
~ m1_subset_1(k2_pre_topc(sK42),u1_struct_0(k6_lopclset(sK42))),
inference(cnf_transformation,[],[f9372]) ).
fof(f10380,plain,
! [X0] : m1_subset_1(sK43(X0),X0),
inference(cnf_transformation,[],[f9373]) ).
fof(f10381,plain,
l1_pre_topc(sK44),
inference(cnf_transformation,[],[f9374]) ).
fof(f10382,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,[],[f6506]) ).
fof(f10384,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,[],[f6510]) ).
fof(f10385,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| k2_pre_topc(X0) = k6_pre_topc(X0,k2_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6511]) ).
fof(f10386,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,[],[f6512]) ).
fof(f10388,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_pre_topc(k2_pre_topc(X0),X0) ),
inference(cnf_transformation,[],[f6514]) ).
fof(f10389,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f6515]) ).
fof(f10390,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,[],[f6517]) ).
fof(f10391,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(sK45(X0,X1,X2),k2_pre_topc(X1)) = X2 ),
inference(cnf_transformation,[],[f9377]) ).
fof(f10392,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(sK45(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f9377]) ).
fof(f10393,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(sK45(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9377]) ).
fof(f10394,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,[],[f9377]) ).
fof(f10396,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,[],[f6521]) ).
fof(f10397,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,[],[f6522]) ).
fof(f10398,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,[],[f6523]) ).
fof(f10399,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,[],[f6524]) ).
fof(f10400,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,[],[f6526]) ).
fof(f10402,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f6528]) ).
fof(f10403,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_pre_topc(k2_pre_topc(X0),X0) ),
inference(cnf_transformation,[],[f6530]) ).
fof(f10404,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6532]) ).
fof(f10405,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v17_lattices(k6_lopclset(X0)) ),
inference(cnf_transformation,[],[f6534]) ).
fof(f10406,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,[],[f6536]) ).
fof(f10407,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,[],[f6538]) ).
fof(f10408,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,[],[f6540]) ).
fof(f10409,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
inference(cnf_transformation,[],[f6542]) ).
fof(f10410,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| l3_lattices(k6_lopclset(X0)) ),
inference(cnf_transformation,[],[f6544]) ).
fof(f10411,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v10_lattices(k6_lopclset(X0)) ),
inference(cnf_transformation,[],[f6544]) ).
fof(f10412,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k6_lopclset(X0)) ),
inference(cnf_transformation,[],[f6544]) ).
fof(f10413,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,[],[f9378]) ).
fof(f10414,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,[],[f9378]) ).
fof(f10415,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| m2_subset_1(sK46(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f9379]) ).
fof(f10416,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,[],[f6550]) ).
fof(f10417,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,[],[f6551]) ).
fof(f10418,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f6552]) ).
fof(f10419,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6553]) ).
fof(f10420,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f6555]) ).
fof(f10421,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9380]) ).
fof(f10422,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f9380]) ).
fof(f10423,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(sK47(X0,X1,X2),k1_zfmisc_1(X0))
| X1 = X2 ),
inference(cnf_transformation,[],[f9383]) ).
fof(f10424,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(sK47(X0,X1,X2),X1)
| r2_hidden(sK47(X0,X1,X2),X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f9383]) ).
fof(f10425,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(sK47(X0,X1,X2),X1)
| ~ r2_hidden(sK47(X0,X1,X2),X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f9383]) ).
fof(f10426,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(sK48(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9384]) ).
fof(f10427,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK48(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9384]) ).
fof(f10428,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(sK49(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f9385]) ).
fof(f10429,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sK49(X1,X2),X2)
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f9385]) ).
fof(f10430,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(sK50(X0,X1),X0)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9386]) ).
fof(f10431,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r2_hidden(sK50(X0,X1),X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9386]) ).
fof(f10432,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(sK51(X0,X1,X2),X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f9389]) ).
fof(f10433,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| r2_hidden(sK51(X0,X1,X2),X1)
| r2_hidden(sK51(X0,X1,X2),X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f9389]) ).
fof(f10434,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sK51(X0,X1,X2),X1)
| ~ r2_hidden(sK51(X0,X1,X2),X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f9389]) ).
fof(f10435,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(sK52(X0,X1,X2),X0)
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f9390]) ).
fof(f10436,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| r2_hidden(sK52(X0,X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f9390]) ).
fof(f10437,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sK52(X0,X1,X2),X2)
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f9390]) ).
fof(f10438,plain,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f486]) ).
fof(f10439,plain,
! [X0] : v1_xboole_0(sK53(X0)),
inference(cnf_transformation,[],[f9391]) ).
fof(f10440,plain,
! [X0] : m1_subset_1(sK53(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f9391]) ).
fof(f10441,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK54(X0)) ),
inference(cnf_transformation,[],[f9392]) ).
fof(f10442,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK54(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f9392]) ).
fof(f10443,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f471]) ).
fof(f10444,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f6569]) ).
fof(f10445,plain,
! [X3,X0,X1] :
( k1_zfmisc_1(X0) != X1
| ~ r2_hidden(X3,X1)
| r1_tarski(X3,X0) ),
inference(cnf_transformation,[],[f9395]) ).
fof(f10446,plain,
! [X3,X0,X1] :
( k1_zfmisc_1(X0) != X1
| ~ r1_tarski(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f9395]) ).
fof(f10447,plain,
! [X0,X1] :
( r2_hidden(sK55(X0,X1),X1)
| r1_tarski(sK55(X0,X1),X0)
| k1_zfmisc_1(X0) = X1 ),
inference(cnf_transformation,[],[f9395]) ).
fof(f10448,plain,
! [X0,X1] :
( ~ r2_hidden(sK55(X0,X1),X1)
| ~ r1_tarski(sK55(X0,X1),X0)
| k1_zfmisc_1(X0) = X1 ),
inference(cnf_transformation,[],[f9395]) ).
fof(f10449,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,[],[f6571]) ).
fof(f10450,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,[],[f6573]) ).
fof(f10451,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,[],[f6575]) ).
fof(f10452,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,[],[f6577]) ).
fof(f10453,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f6579]) ).
fof(f10454,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,[],[f6581]) ).
fof(f10455,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ~ v3_pre_topc(X0,X1)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f9397]) ).
fof(f10456,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ~ sP0(X1,X0)
| v3_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f9397]) ).
fof(f10467,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f9304]) ).
fof(f10469,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(sK59(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9403]) ).
fof(f10470,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,sK59(X0,X1,X2))
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9403]) ).
fof(f10471,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,sK59(X0,X1,X2))
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9403]) ).
fof(f10472,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(sK59(X0,X1,X2),X0)
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9403]) ).
fof(f10473,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,[],[f6587]) ).
fof(f10474,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,[],[f9404]) ).
fof(f10475,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,[],[f9404]) ).
fof(f10476,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,[],[f9405]) ).
fof(f10477,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,[],[f9405]) ).
fof(f10478,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v4_pre_topc(sK60(X0),X0) ),
inference(cnf_transformation,[],[f9406]) ).
fof(f10479,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v3_pre_topc(sK60(X0),X0) ),
inference(cnf_transformation,[],[f9406]) ).
fof(f10480,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK60(X0)) ),
inference(cnf_transformation,[],[f9406]) ).
fof(f10481,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK60(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9406]) ).
fof(f10482,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_pre_topc(sK61(X0),X0) ),
inference(cnf_transformation,[],[f9407]) ).
fof(f10483,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_pre_topc(sK61(X0),X0) ),
inference(cnf_transformation,[],[f9407]) ).
fof(f10484,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| m1_subset_1(sK61(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9407]) ).
fof(f10485,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,[],[f6595]) ).
fof(f10486,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,[],[f6595]) ).
fof(f10488,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_pre_topc(sK62(X0),X0) ),
inference(cnf_transformation,[],[f9408]) ).
fof(f10489,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| m1_subset_1(sK62(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9408]) ).
fof(f10491,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,[],[f9412]) ).
fof(f10492,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,[],[f9412]) ).
fof(f10493,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(sK63(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,[],[f9412]) ).
fof(f10494,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,sK63(X0,X1,X2))
| v3_struct_0(X0)
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9412]) ).
fof(f10495,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,sK63(X0,X1,X2))
| v3_struct_0(X0)
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9412]) ).
fof(f10496,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(sK63(X0,X1,X2),X0)
| v3_struct_0(X0)
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9412]) ).
fof(f10497,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| k6_pre_topc(X2,X1) != X0
| sP2(X2,X1,X0) ),
inference(cnf_transformation,[],[f9414]) ).
fof(f10498,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| ~ sP2(X2,X1,X0)
| k6_pre_topc(X2,X1) = X0 ),
inference(cnf_transformation,[],[f9414]) ).
fof(f10510,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)))
| sP3(X2,X1,X0) ),
inference(cnf_transformation,[],[f9307]) ).
fof(f10511,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,[],[f6607]) ).
fof(f10512,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,[],[f6608]) ).
fof(f10513,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,[],[f6609]) ).
fof(f10514,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,[],[f6611]) ).
fof(f10515,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,[],[f6612]) ).
fof(f10516,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,[],[f6614]) ).
fof(f10517,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,[],[f6616]) ).
fof(f10518,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,[],[f6616]) ).
fof(f10519,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,sK67(X0,X1,X2)) ),
inference(cnf_transformation,[],[f9421]) ).
fof(f10520,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(sK67(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f9421]) ).
fof(f10521,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(sK67(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f9421]) ).
fof(f10522,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(sK67(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9421]) ).
fof(f10523,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,[],[f9421]) ).
fof(f10525,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,[],[f6621]) ).
fof(f10526,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,[],[f6623]) ).
fof(f10527,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,[],[f6625]) ).
fof(f10528,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,[],[f6626]) ).
fof(f10529,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,[],[f6627]) ).
fof(f10530,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,[],[f6628]) ).
fof(f10531,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,[],[f6630]) ).
fof(f10532,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,[],[f6631]) ).
fof(f10533,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,[],[f6632]) ).
fof(f10534,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,[],[f6633]) ).
fof(f10535,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,[],[f6634]) ).
fof(f10536,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,[],[f6636]) ).
fof(f10537,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,[],[f6638]) ).
fof(f10538,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,[],[f6640]) ).
fof(f10539,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,[],[f6642]) ).
fof(f10540,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,[],[f6643]) ).
fof(f10541,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,[],[f6645]) ).
fof(f10542,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,[],[f6647]) ).
fof(f10543,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,[],[f6649]) ).
fof(f10544,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,[],[f6649]) ).
fof(f10545,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,[],[f6650]) ).
fof(f10546,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,[],[f6652]) ).
fof(f10547,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,[],[f6654]) ).
fof(f10548,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,[],[f6655]) ).
fof(f10549,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,[],[f9424]) ).
fof(f10550,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(sK68(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9424]) ).
fof(f10551,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,sK68(X0,X1,X2))
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9424]) ).
fof(f10552,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(sK68(X0,X1,X2),X0)
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9424]) ).
fof(f10553,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,sK68(X0,X1,X2))
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9424]) ).
fof(f10554,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,[],[f6659]) ).
fof(f10555,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,[],[f6661]) ).
fof(f10556,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,[],[f6663]) ).
fof(f10557,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,[],[f6665]) ).
fof(f10558,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,[],[f6667]) ).
fof(f10559,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,[],[f6669]) ).
fof(f10560,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,[],[f6671]) ).
fof(f10561,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,[],[f6673]) ).
fof(f10562,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,[],[f6674]) ).
fof(f10563,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,[],[f6675]) ).
fof(f10564,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,[],[f6676]) ).
fof(f10565,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(sK69(X0,X1,X2,X3),X0)
| k4_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9427]) ).
fof(f10566,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(sK69(X0,X1,X2,X3),X1)
| r2_hidden(sK69(X0,X1,X2,X3),X3)
| r2_hidden(sK69(X0,X1,X2,X3),X2)
| k4_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9427]) ).
fof(f10567,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(sK69(X0,X1,X2,X3),X1)
| ~ r2_hidden(sK69(X0,X1,X2,X3),X3)
| k4_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9427]) ).
fof(f10568,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(sK69(X0,X1,X2,X3),X1)
| ~ r2_hidden(sK69(X0,X1,X2,X3),X2)
| k4_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9427]) ).
fof(f10569,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f6679]) ).
fof(f10570,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f6680]) ).
fof(f10571,plain,
l1_struct_0(sK70),
inference(cnf_transformation,[],[f9428]) ).
fof(f10572,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ~ v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f9429]) ).
fof(f10574,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK71(X0)) ),
inference(cnf_transformation,[],[f9430]) ).
fof(f10575,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| m1_subset_1(sK71(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9430]) ).
fof(f10576,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f6685]) ).
fof(f10577,plain,
~ v3_struct_0(sK72),
inference(cnf_transformation,[],[f9431]) ).
fof(f10578,plain,
l1_struct_0(sK72),
inference(cnf_transformation,[],[f9431]) ).
fof(f10579,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,[],[f6687]) ).
fof(f10580,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v4_pre_topc(sK73(X0),X0) ),
inference(cnf_transformation,[],[f9432]) ).
fof(f10581,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK73(X0)) ),
inference(cnf_transformation,[],[f9432]) ).
fof(f10582,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK73(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9432]) ).
fof(f10583,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_pre_topc(sK74(X0),X0) ),
inference(cnf_transformation,[],[f9433]) ).
fof(f10584,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| m1_subset_1(sK74(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9433]) ).
fof(f10585,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(f10588,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| v1_finset_1(k3_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f6694]) ).
fof(f10589,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,[],[f6696]) ).
fof(f10590,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(sK76(X0,X1))
| r2_hidden(sK75(X0,X1),k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1))) ),
inference(cnf_transformation,[],[f9434]) ).
fof(f10591,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_relat_1(sK76(X0,X1))
| r2_hidden(sK75(X0,X1),k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1))) ),
inference(cnf_transformation,[],[f9434]) ).
fof(f10592,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_xboole_0(X0,X1) = sK76(X0,X1)
| r2_hidden(sK75(X0,X1),k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1))) ),
inference(cnf_transformation,[],[f9434]) ).
fof(f10593,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(sK76(X0,X1))
| k1_funct_1(X0,sK75(X0,X1)) != k1_funct_1(X1,sK75(X0,X1)) ),
inference(cnf_transformation,[],[f9434]) ).
fof(f10594,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_relat_1(sK76(X0,X1))
| k1_funct_1(X0,sK75(X0,X1)) != k1_funct_1(X1,sK75(X0,X1)) ),
inference(cnf_transformation,[],[f9434]) ).
fof(f10595,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_xboole_0(X0,X1) = sK76(X0,X1)
| k1_funct_1(X0,sK75(X0,X1)) != k1_funct_1(X1,sK75(X0,X1)) ),
inference(cnf_transformation,[],[f9434]) ).
fof(f10596,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,[],[f6699]) ).
fof(f10597,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,[],[f6700]) ).
fof(f10598,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,[],[f6701]) ).
fof(f10599,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,[],[f6702]) ).
fof(f10600,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k3_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f6703]) ).
fof(f10603,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,[],[f6709]) ).
fof(f10604,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(f10607,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK78(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,[],[f9435]) ).
fof(f10608,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK77(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,[],[f9435]) ).
fof(f10609,plain,
! [X2,X3,X0,X1,X4] :
( k4_tarski(sK77(X0,X1,X2,X3,X4),sK78(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,[],[f9435]) ).
fof(f10610,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(f10611,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k1_tarski(X0) = k3_xboole_0(X1,k1_tarski(X0)) ),
inference(cnf_transformation,[],[f6711]) ).
fof(f10612,plain,
! [X0,X1] :
( k1_tarski(X1) != k3_xboole_0(X0,k1_tarski(X1))
| r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f6712]) ).
fof(f10613,plain,
! [X0,X1] :
( k1_tarski(X0) != k3_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f6713]) ).
fof(f10614,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(f10617,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(f10618,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(f10619,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(f10620,plain,
! [X0,X1] : k2_xboole_0(k3_xboole_0(X0,X1),k4_xboole_0(X0,X1)) = X0,
inference(cnf_transformation,[],[f120]) ).
fof(f10621,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(f10622,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(f10623,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f10624,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(X0,k3_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f116]) ).
fof(f10625,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(f10626,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,[],[f6715]) ).
fof(f10627,plain,
! [X2,X0,X1] : r1_tarski(k3_xboole_0(X0,X1),k2_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f98]) ).
fof(f10628,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k3_xboole_0(X0,X1) = X0 ),
inference(cnf_transformation,[],[f6716]) ).
fof(f10629,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,[],[f6718]) ).
fof(f10630,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k3_xboole_0(X0,X2),k3_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f6719]) ).
fof(f10631,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(f10632,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(f10633,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(f10634,plain,
! [X0,X1] : k2_xboole_0(X0,k3_xboole_0(X0,X1)) = X0,
inference(cnf_transformation,[],[f91]) ).
fof(f10636,plain,
! [X2,X0,X1] :
( r1_tarski(sK79(X0,X1,X2),X2)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| k3_xboole_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f9436]) ).
fof(f10637,plain,
! [X2,X0,X1] :
( r1_tarski(sK79(X0,X1,X2),X1)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| k3_xboole_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f9436]) ).
fof(f10638,plain,
! [X2,X0,X1] :
( ~ r1_tarski(sK79(X0,X1,X2),X0)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| k3_xboole_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f9436]) ).
fof(f10639,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,k3_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f6723]) ).
fof(f10642,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(f10643,plain,
! [X0] : k1_xboole_0 = k3_xboole_0(X0,k1_xboole_0),
inference(cnf_transformation,[],[f63]) ).
fof(f10645,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f10646,plain,
! [X2,X0,X1,X4] :
( k3_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X2)
| r2_hidden(X4,X1) ),
inference(cnf_transformation,[],[f9440]) ).
fof(f10648,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,[],[f9440]) ).
fof(f10649,plain,
! [X2,X0,X1] :
( r2_hidden(sK80(X0,X1,X2),X2)
| r2_hidden(sK80(X0,X1,X2),X1)
| k3_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9440]) ).
fof(f10650,plain,
! [X2,X0,X1] :
( r2_hidden(sK80(X0,X1,X2),X2)
| r2_hidden(sK80(X0,X1,X2),X0)
| k3_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9440]) ).
fof(f10651,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK80(X0,X1,X2),X2)
| ~ r2_hidden(sK80(X0,X1,X2),X1)
| ~ r2_hidden(sK80(X0,X1,X2),X0)
| k3_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9440]) ).
fof(f10652,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,[],[f6725]) ).
fof(f10653,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_pre_topc(sK81(X0),X0) ),
inference(cnf_transformation,[],[f9441]) ).
fof(f10654,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| l1_pre_topc(X1) ),
inference(cnf_transformation,[],[f6727]) ).
fof(f10655,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,[],[f6728]) ).
fof(f10656,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| v2_pre_topc(X1) ),
inference(cnf_transformation,[],[f6730]) ).
fof(f10657,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,[],[f6732]) ).
fof(f10658,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,[],[f6734]) ).
fof(f10659,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,[],[f9442]) ).
fof(f10660,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,[],[f9442]) ).
fof(f10661,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k3_subset_1(X0,k3_subset_1(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f6736]) ).
fof(f10662,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,[],[f6737]) ).
fof(f10663,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,[],[f6739]) ).
fof(f10664,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(sK82(X0,X1,X2),X0)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9445]) ).
fof(f10665,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sK82(X0,X1,X2),X1)
| r2_hidden(sK82(X0,X1,X2),X2)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9445]) ).
fof(f10666,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sK82(X0,X1,X2),X2)
| r2_hidden(sK82(X0,X1,X2),X1)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9445]) ).
fof(f10667,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(sK83(X0,X1,X2),X0)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9448]) ).
fof(f10668,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sK83(X0,X1,X2),X1)
| r2_hidden(sK83(X0,X1,X2),X2)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9448]) ).
fof(f10669,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| r2_hidden(sK83(X0,X1,X2),X1)
| ~ r2_hidden(sK83(X0,X1,X2),X2)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9448]) ).
fof(f10670,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(sK84(X0,X1,X2),X0)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9451]) ).
fof(f10671,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| r2_hidden(sK84(X0,X1,X2),X1)
| ~ r2_hidden(sK84(X0,X1,X2),X2)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9451]) ).
fof(f10672,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sK84(X0,X1,X2),X1)
| r2_hidden(sK84(X0,X1,X2),X2)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9451]) ).
fof(f10673,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,[],[f6747]) ).
fof(f10674,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,[],[f6749]) ).
fof(f10675,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,[],[f6751]) ).
fof(f10676,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,[],[f9452]) ).
fof(f10677,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,[],[f9452]) ).
fof(f10678,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,[],[f9453]) ).
fof(f10679,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,[],[f9453]) ).
fof(f10680,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,[],[f6755]) ).
fof(f10681,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,[],[f6757]) ).
fof(f10682,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,[],[f6759]) ).
fof(f10683,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,[],[f9454]) ).
fof(f10684,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,[],[f9454]) ).
fof(f10685,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r1_xboole_0(X1,k3_subset_1(X0,X1)) ),
inference(cnf_transformation,[],[f6761]) ).
fof(f10686,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_xboole_0(X0,X1) = k3_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f6762]) ).
fof(f10687,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,[],[f6764]) ).
fof(f10688,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,[],[f6764]) ).
fof(f10690,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,[],[f6764]) ).
fof(f10691,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,[],[f6764]) ).
fof(f10693,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,[],[f6766]) ).
fof(f10695,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,[],[f6768]) ).
fof(f10699,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,[],[f6772]) ).
fof(f10701,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,[],[f6774]) ).
fof(f10702,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X2,X0)
| ~ r1_tarski(X0,X1)
| m2_relset_1(X3,X2,X1) ),
inference(cnf_transformation,[],[f6776]) ).
fof(f10703,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X2)
| ~ r1_tarski(X0,X1)
| m2_relset_1(X3,X1,X2) ),
inference(cnf_transformation,[],[f6778]) ).
fof(f10704,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r1_tarski(X0,X3)
| m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f6780]) ).
fof(f10705,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6781]) ).
fof(f10706,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f6783]) ).
fof(f10707,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,[],[f6784]) ).
fof(f10708,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,[],[f6784]) ).
fof(f10709,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,[],[f6786]) ).
fof(f10710,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,[],[f6786]) ).
fof(f10711,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6787]) ).
fof(f10712,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X0,X1))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6787]) ).
fof(f10713,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,[],[f6789]) ).
fof(f10714,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k2_zfmisc_1(X2,X0),k2_zfmisc_1(X2,X1)) ),
inference(cnf_transformation,[],[f6790]) ).
fof(f10715,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f6790]) ).
fof(f10716,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,[],[f6791]) ).
fof(f10717,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,[],[f6791]) ).
fof(f10719,plain,
! [X0] :
( ~ r1_tarski(X0,k1_xboole_0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6793]) ).
fof(f10720,plain,
! [X0] : r1_tarski(k1_xboole_0,X0),
inference(cnf_transformation,[],[f71]) ).
fof(f10721,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f6795]) ).
fof(f10724,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9456]) ).
fof(f10725,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f6431]) ).
fof(f10726,plain,
! [X3,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f9459]) ).
fof(f10727,plain,
! [X0,X1] :
( r2_hidden(sK85(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9459]) ).
fof(f10728,plain,
! [X0,X1] :
( ~ r2_hidden(sK85(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9459]) ).
fof(f10729,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,[],[f6797]) ).
fof(f10730,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,[],[f6799]) ).
fof(f10731,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,[],[f6800]) ).
fof(f10732,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,[],[f6802]) ).
fof(f10733,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,[],[f6804]) ).
fof(f10734,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,[],[f6806]) ).
fof(f10735,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,[],[f6808]) ).
fof(f10736,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,[],[f6810]) ).
fof(f10737,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,[],[f6812]) ).
fof(f10738,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,[],[f6814]) ).
fof(f10739,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,[],[f6815]) ).
fof(f10740,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,[],[f6816]) ).
fof(f10741,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(sK86(X0,X1,X2,X3),X0)
| k5_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9462]) ).
fof(f10742,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(sK86(X0,X1,X2,X3),X1)
| r2_hidden(sK86(X0,X1,X2,X3),X3)
| k5_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9462]) ).
fof(f10743,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(sK86(X0,X1,X2,X3),X1)
| r2_hidden(sK86(X0,X1,X2,X3),X2)
| k5_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9462]) ).
fof(f10744,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(sK86(X0,X1,X2,X3),X1)
| ~ r2_hidden(sK86(X0,X1,X2,X3),X3)
| ~ r2_hidden(sK86(X0,X1,X2,X3),X2)
| k5_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9462]) ).
fof(f10745,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,[],[f6819]) ).
fof(f10746,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,[],[f6820]) ).
fof(f10747,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6821]) ).
fof(f10748,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6822]) ).
fof(f10750,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f6825]) ).
fof(f10751,plain,
! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f9463]) ).
fof(f10752,plain,
! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| m1_subset_1(X1,X0) ),
inference(cnf_transformation,[],[f9463]) ).
fof(f10753,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f9463]) ).
fof(f10755,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6827]) ).
fof(f10756,plain,
! [X3,X0,X1] :
( ~ r2_hidden(X3,sK87(X1))
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f9464]) ).
fof(f10757,plain,
! [X0,X1] :
( r2_hidden(sK87(X1),X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f9464]) ).
fof(f10758,plain,
! [X0,X1] :
( r2_hidden(sK88(X0,X1),X0)
| r2_hidden(sK88(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9466]) ).
fof(f10759,plain,
! [X0,X1] :
( ~ r2_hidden(sK88(X0,X1),X0)
| ~ r2_hidden(sK88(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9466]) ).
fof(f10760,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f6830]) ).
fof(f10761,plain,
v1_funct_1(sK89),
inference(cnf_transformation,[],[f9467]) ).
fof(f10762,plain,
v1_xboole_0(sK89),
inference(cnf_transformation,[],[f9467]) ).
fof(f10763,plain,
v1_relat_1(sK89),
inference(cnf_transformation,[],[f9467]) ).
fof(f10764,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f6831]) ).
fof(f10765,plain,
v1_relat_1(sK90),
inference(cnf_transformation,[],[f9468]) ).
fof(f10766,plain,
~ v1_xboole_0(sK90),
inference(cnf_transformation,[],[f9468]) ).
fof(f10769,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f6832]) ).
fof(f10770,plain,
v1_relat_1(sK91),
inference(cnf_transformation,[],[f9469]) ).
fof(f10771,plain,
v1_xboole_0(sK91),
inference(cnf_transformation,[],[f9469]) ).
fof(f10772,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f6833]) ).
fof(f10774,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9470]) ).
fof(f10776,plain,
~ v1_xboole_0(sK92),
inference(cnf_transformation,[],[f9471]) ).
fof(f10777,plain,
v1_xboole_0(sK93),
inference(cnf_transformation,[],[f9472]) ).
fof(f10779,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_filter_0(X0) ),
inference(cnf_transformation,[],[f6836]) ).
fof(f10786,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)
| sP4(X1,X0) ),
inference(cnf_transformation,[],[f9479]) ).
fof(f10787,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,[],[f9479]) ).
fof(f10788,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)
| ~ sP4(X1,X0)
| m1_subset_1(sK96(X0,X1),u1_struct_0(X0))
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9479]) ).
fof(f10789,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)
| ~ sP4(X1,X0)
| m1_subset_1(sK97(X0,X1),u1_struct_0(X0))
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9479]) ).
fof(f10790,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)
| ~ sP4(X1,X0)
| r2_hidden(sK97(X0,X1),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9479]) ).
fof(f10791,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)
| ~ sP4(X1,X0)
| r2_hidden(sK96(X0,X1),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9479]) ).
fof(f10792,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)
| ~ sP4(X1,X0)
| ~ r2_hidden(k4_lattices(X0,sK96(X0,X1),sK97(X0,X1)),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9479]) ).
fof(f10793,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,[],[f9483]) ).
fof(f10794,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,[],[f9483]) ).
fof(f10795,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,[],[f9483]) ).
fof(f10796,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(sK98(X0,X1),u1_struct_0(X0))
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9483]) ).
fof(f10797,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(sK99(X0,X1),u1_struct_0(X0))
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9483]) ).
fof(f10798,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(sK99(X0,X1),X1)
| r2_hidden(k4_lattices(X0,sK98(X0,X1),sK99(X0,X1)),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9483]) ).
fof(f10799,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(sK98(X0,X1),X1)
| r2_hidden(k4_lattices(X0,sK98(X0,X1),sK99(X0,X1)),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9483]) ).
fof(f10800,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(sK99(X0,X1),X1)
| ~ r2_hidden(sK98(X0,X1),X1)
| ~ r2_hidden(k4_lattices(X0,sK98(X0,X1),sK99(X0,X1)),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9483]) ).
fof(f10801,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,[],[f6842]) ).
fof(f10802,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,[],[f6844]) ).
fof(f10803,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,[],[f6844]) ).
fof(f10804,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,[],[f6846]) ).
fof(f10805,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,[],[f6846]) ).
fof(f10806,plain,
! [X0,X8,X9,X7] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK103(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,[],[f9486]) ).
fof(f10807,plain,
! [X0,X8,X9,X7] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK104(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,[],[f9486]) ).
fof(f10808,plain,
! [X0,X8,X9,X7] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK105(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,[],[f9486]) ).
fof(f10809,plain,
! [X0,X8,X9,X7] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k4_lattices(X0,sK103(X0),k3_lattices(X0,sK104(X0),sK105(X0))) != k3_lattices(X0,k4_lattices(X0,sK103(X0),sK104(X0)),k4_lattices(X0,sK103(X0),sK105(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,[],[f9486]) ).
fof(f10810,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK100(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,[],[f9486]) ).
fof(f10811,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK101(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,[],[f9486]) ).
fof(f10812,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK102(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,[],[f9486]) ).
fof(f10813,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k3_lattices(X0,sK100(X0),k4_lattices(X0,sK101(X0),sK102(X0))) != k4_lattices(X0,k3_lattices(X0,sK100(X0),sK101(X0)),k3_lattices(X0,sK100(X0),sK102(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,[],[f9486]) ).
fof(f10815,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_xboole_0(X0,k1_tarski(X1)),X2)
| r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f9488]) ).
fof(f10816,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,[],[f9488]) ).
fof(f10817,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k2_xboole_0(X1,k1_tarski(X2)))
| X0 = X2
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f9490]) ).
fof(f10818,plain,
! [X2,X0,X1] :
( X0 != X2
| r2_hidden(X0,k2_xboole_0(X1,k1_tarski(X2))) ),
inference(cnf_transformation,[],[f9490]) ).
fof(f10820,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,[],[f6849]) ).
fof(f10821,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(f10823,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f6853]) ).
fof(f10824,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,[],[f6855]) ).
fof(f10825,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,[],[f6856]) ).
fof(f10826,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,[],[f6857]) ).
fof(f10827,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f6859]) ).
fof(f10830,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(f10832,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(f10833,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(f10834,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(f10835,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(f10836,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(f10838,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k2_xboole_0(k1_tarski(X0),X1) = X1 ),
inference(cnf_transformation,[],[f6862]) ).
fof(f10840,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,[],[f6864]) ).
fof(f10851,plain,
! [X0,X1] : k1_xboole_0 = k4_xboole_0(X0,k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f115]) ).
fof(f10853,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k4_xboole_0(X0,X1),X2)
| r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f6868]) ).
fof(f10854,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| r1_tarski(k4_xboole_0(X0,X1),X2) ),
inference(cnf_transformation,[],[f6869]) ).
fof(f10855,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(f10856,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(f10857,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(k2_xboole_0(X0,X1),X1),
inference(cnf_transformation,[],[f109]) ).
fof(f10858,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f108]) ).
fof(f10859,plain,
! [X0,X1] :
( k1_xboole_0 != k2_xboole_0(X0,X1)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6870]) ).
fof(f10860,plain,
! [X2,X0,X1] :
( r1_tarski(X2,sK106(X0,X1,X2))
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9491]) ).
fof(f10861,plain,
! [X2,X0,X1] :
( r1_tarski(X0,sK106(X0,X1,X2))
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9491]) ).
fof(f10862,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,sK106(X0,X1,X2))
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9491]) ).
fof(f10863,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,[],[f6874]) ).
fof(f10864,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X1) = X1 ),
inference(cnf_transformation,[],[f6875]) ).
fof(f10865,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_xboole_0(X0,X1),X2)
| r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f6876]) ).
fof(f10866,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(X0,k2_xboole_0(X2,X1)) ),
inference(cnf_transformation,[],[f6877]) ).
fof(f10867,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k2_xboole_0(X0,X2),k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f6878]) ).
fof(f10868,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k2_xboole_0(X0,X2),X1) ),
inference(cnf_transformation,[],[f6880]) ).
fof(f10869,plain,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f76]) ).
fof(f10870,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f75]) ).
fof(f10872,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(f10873,plain,
! [X0] : k2_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f62]) ).
fof(f10874,plain,
! [X0] : k2_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f6434]) ).
fof(f10875,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f10876,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,[],[f9495]) ).
fof(f10877,plain,
! [X2,X0,X1,X4] :
( k2_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X1)
| r2_hidden(X4,X2) ),
inference(cnf_transformation,[],[f9495]) ).
fof(f10878,plain,
! [X2,X0,X1,X4] :
( k2_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X2) ),
inference(cnf_transformation,[],[f9495]) ).
fof(f10879,plain,
! [X2,X0,X1] :
( r2_hidden(sK107(X0,X1,X2),X2)
| r2_hidden(sK107(X0,X1,X2),X1)
| r2_hidden(sK107(X0,X1,X2),X0)
| k2_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9495]) ).
fof(f10880,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK107(X0,X1,X2),X2)
| ~ r2_hidden(sK107(X0,X1,X2),X1)
| k2_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9495]) ).
fof(f10881,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK107(X0,X1,X2),X2)
| ~ r2_hidden(sK107(X0,X1,X2),X0)
| k2_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9495]) ).
fof(f10882,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f6881]) ).
fof(f10883,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f6882]) ).
fof(f10884,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,[],[f6884]) ).
fof(f10885,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,[],[f6884]) ).
fof(f10886,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,[],[f6886]) ).
fof(f10887,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,[],[f6888]) ).
fof(f10888,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,[],[f6888]) ).
fof(f10889,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,[],[f6890]) ).
fof(f10890,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,[],[f6890]) ).
fof(f10891,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,[],[f6892]) ).
fof(f10892,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,[],[f6892]) ).
fof(f10893,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,[],[f6892]) ).
fof(f10894,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,[],[f6892]) ).
fof(f10895,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,[],[f6894]) ).
fof(f10903,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f6897]) ).
fof(f10904,plain,
! [X2,X0,X1] :
( ~ sP6(X0,X1,X2)
| k8_filter_0(X1,X2) != X0
| sP5(X2,X1,X0) ),
inference(cnf_transformation,[],[f9500]) ).
fof(f10905,plain,
! [X2,X0,X1] :
( ~ sP6(X0,X1,X2)
| ~ sP5(X2,X1,X0)
| k8_filter_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f9500]) ).
fof(f10916,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)
| sP6(X2,X0,X1) ),
inference(cnf_transformation,[],[f9312]) ).
fof(f10917,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,[],[f6901]) ).
fof(f10918,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,[],[f6901]) ).
fof(f10919,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,[],[f6901]) ).
fof(f10920,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,[],[f6903]) ).
fof(f10921,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,[],[f6903]) ).
fof(f10922,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f6905]) ).
fof(f10924,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,[],[f6907]) ).
fof(f10925,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| l3_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))) ),
inference(cnf_transformation,[],[f6909]) ).
fof(f10926,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v10_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))) ),
inference(cnf_transformation,[],[f6909]) ).
fof(f10927,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))) ),
inference(cnf_transformation,[],[f6909]) ).
fof(f10928,plain,
! [X2,X3,X0,X1,X4] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| X2 != X4
| X1 != X3
| k2_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X1,X2) = k3_lopclset(X0,X3,X4) ),
inference(cnf_transformation,[],[f6911]) ).
fof(f10929,plain,
! [X2,X3,X0,X1,X4] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| X2 != X4
| X1 != X3
| k1_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X1,X2) = k2_lopclset(X0,X3,X4) ),
inference(cnf_transformation,[],[f6913]) ).
fof(f10930,plain,
! [X0,X1,X4,X5] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| k4_lopclset(X0) != X1
| ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m2_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X4,X5) = k2_lopclset(X0,X4,X5) ),
inference(cnf_transformation,[],[f9506]) ).
fof(f10931,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| m2_subset_1(sK111(X0,X1),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k4_lopclset(X0) = X1 ),
inference(cnf_transformation,[],[f9506]) ).
fof(f10932,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| m2_subset_1(sK112(X0,X1),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k4_lopclset(X0) = X1 ),
inference(cnf_transformation,[],[f9506]) ).
fof(f10933,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,sK111(X0,X1),sK112(X0,X1)) != k2_lopclset(X0,sK111(X0,X1),sK112(X0,X1))
| k4_lopclset(X0) = X1 ),
inference(cnf_transformation,[],[f9506]) ).
fof(f10934,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f6917]) ).
fof(f10935,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f6917]) ).
fof(f10936,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_funct_1(k4_lopclset(X0)) ),
inference(cnf_transformation,[],[f6917]) ).
fof(f10937,plain,
! [X0,X1,X4,X5] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| k5_lopclset(X0) != X1
| ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m2_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,X4,X5) = k3_lopclset(X0,X4,X5) ),
inference(cnf_transformation,[],[f9509]) ).
fof(f10938,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| m2_subset_1(sK113(X0,X1),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k5_lopclset(X0) = X1 ),
inference(cnf_transformation,[],[f9509]) ).
fof(f10939,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| m2_subset_1(sK114(X0,X1),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k5_lopclset(X0) = X1 ),
inference(cnf_transformation,[],[f9509]) ).
fof(f10940,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(X1)
| k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,sK113(X0,X1),sK114(X0,X1)) != k3_lopclset(X0,sK113(X0,X1),sK114(X0,X1))
| k5_lopclset(X0) = X1 ),
inference(cnf_transformation,[],[f9509]) ).
fof(f10941,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f6921]) ).
fof(f10942,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f6921]) ).
fof(f10943,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_funct_1(k5_lopclset(X0)) ),
inference(cnf_transformation,[],[f6921]) ).
fof(f10944,plain,
l3_lattices(sK115),
inference(cnf_transformation,[],[f9510]) ).
fof(f10945,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(sK116(X0,X1),X3),X1) ),
inference(cnf_transformation,[],[f9511]) ).
fof(f10946,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m2_relset_1(sK116(X0,X1),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9511]) ).
fof(f10947,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_funct_2(sK116(X0,X1),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9511]) ).
fof(f10948,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_funct_1(sK116(X0,X1)) ),
inference(cnf_transformation,[],[f9511]) ).
fof(f10949,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(sK117(X0,X1),sK117(X0,X1)))
| r2_hidden(k1_funct_1(X1,X3),sK117(X0,X1)) ),
inference(cnf_transformation,[],[f9512]) ).
fof(f10950,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(sK117(X0,X1),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f9512]) ).
fof(f10951,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,[],[f6926]) ).
fof(f10952,plain,
! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)),
inference(cnf_transformation,[],[f703]) ).
fof(f10953,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f6928]) ).
fof(f10954,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,[],[f6930]) ).
fof(f10955,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,[],[f6930]) ).
fof(f10956,plain,
! [X0,X1] :
( k2_zfmisc_1(X0,X0) != k2_zfmisc_1(X1,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f6931]) ).
fof(f10958,plain,
! [X0,X1] :
( k1_xboole_0 != k2_zfmisc_1(X0,X1)
| k1_xboole_0 = X1
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9514]) ).
fof(f10959,plain,
! [X0,X1] :
( k1_xboole_0 != X1
| k1_xboole_0 = k2_zfmisc_1(X0,X1) ),
inference(cnf_transformation,[],[f9514]) ).
fof(f10960,plain,
! [X0,X1] :
( k1_xboole_0 != X0
| k1_xboole_0 = k2_zfmisc_1(X0,X1) ),
inference(cnf_transformation,[],[f9514]) ).
fof(f10961,plain,
! [X0,X1] : m2_relset_1(sK118(X0,X1),X0,X1),
inference(cnf_transformation,[],[f9515]) ).
fof(f10962,plain,
v1_funct_1(sK119),
inference(cnf_transformation,[],[f9516]) ).
fof(f10963,plain,
v1_relat_1(sK119),
inference(cnf_transformation,[],[f9516]) ).
fof(f10964,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,[],[f6935]) ).
fof(f10965,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,[],[f6935]) ).
fof(f10967,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,[],[f6937]) ).
fof(f10968,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f6939]) ).
fof(f10969,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,[],[f6941]) ).
fof(f10970,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f6943]) ).
fof(f10971,plain,
! [X0,X1] : m2_relset_1(k1_xboole_0,X0,X1),
inference(cnf_transformation,[],[f1407]) ).
fof(f10973,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,[],[f6945]) ).
fof(f10975,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,[],[f6947]) ).
fof(f10976,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,[],[f6949]) ).
fof(f10977,plain,
! [X0,X1] : m2_relset_1(k1_xboole_0,X0,X1),
inference(cnf_transformation,[],[f1283]) ).
fof(f10978,plain,
! [X0] :
( v1_funct_1(sK120(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9517]) ).
fof(f10979,plain,
! [X0] :
( v1_relat_1(sK120(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9517]) ).
fof(f10980,plain,
! [X0] :
( v1_funct_1(sK121(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9517]) ).
fof(f10981,plain,
! [X0] :
( v1_relat_1(sK121(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9517]) ).
fof(f10982,plain,
! [X0] :
( k1_relat_1(sK121(X0)) = X0
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9517]) ).
fof(f10983,plain,
! [X0] :
( k1_relat_1(sK120(X0)) = X0
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9517]) ).
fof(f10984,plain,
! [X0] :
( sK120(X0) != sK121(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9517]) ).
fof(f10985,plain,
! [X2,X0] :
( k1_xboole_0 != X0
| ~ r2_hidden(X2,X0) ),
inference(cnf_transformation,[],[f9520]) ).
fof(f10986,plain,
! [X0] :
( r2_hidden(sK122(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9520]) ).
fof(f10988,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| v1_xcmplx_0(sK123(X0,X1))
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9523]) ).
fof(f10989,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| r2_hidden(sK123(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9523]) ).
fof(f10990,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| r2_hidden(sK123(X0,X1),X0)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9523]) ).
fof(f10991,plain,
! [X2,X3,X0,X6,X4,X5] :
( ~ r2_hidden(X6,sK124(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,[],[f9524]) ).
fof(f10992,plain,
! [X0] :
( r2_hidden(sK124(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9524]) ).
fof(f10993,plain,
! [X2,X3,X0,X4,X5] :
( ~ r2_hidden(X5,sK125(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,[],[f9525]) ).
fof(f10994,plain,
! [X0] :
( r2_hidden(sK125(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9525]) ).
fof(f10995,plain,
! [X2,X3,X0,X4] :
( ~ r2_hidden(X4,sK126(X0))
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9526]) ).
fof(f10996,plain,
! [X0] :
( r2_hidden(sK126(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9526]) ).
fof(f10997,plain,
! [X2,X3,X0] :
( ~ r2_hidden(X3,sK127(X0))
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9527]) ).
fof(f10998,plain,
! [X0] :
( r2_hidden(sK127(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9527]) ).
fof(f10999,plain,
! [X2,X0] :
( ~ r2_hidden(X2,sK128(X0))
| r1_xboole_0(X2,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9528]) ).
fof(f11000,plain,
! [X0] :
( r2_hidden(sK128(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9528]) ).
fof(f11001,plain,
! [X0] :
( r1_xboole_0(sK129(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9529]) ).
fof(f11002,plain,
! [X0] :
( r2_hidden(sK129(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9529]) ).
fof(f11003,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,[],[f6965]) ).
fof(f11004,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,[],[f6966]) ).
fof(f11005,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,[],[f9530]) ).
fof(f11006,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,[],[f9530]) ).
fof(f11007,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,[],[f9531]) ).
fof(f11008,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,[],[f9531]) ).
fof(f11009,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,[],[f9532]) ).
fof(f11010,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,[],[f9532]) ).
fof(f11011,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,[],[f6971]) ).
fof(f11012,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,[],[f6972]) ).
fof(f11013,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,[],[f6972]) ).
fof(f11014,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,[],[f6973]) ).
fof(f11015,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,[],[f6973]) ).
fof(f11017,plain,
! [X2,X0,X1] :
( r1_xboole_0(k2_tarski(X0,X2),X1)
| r2_hidden(X2,X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6974]) ).
fof(f11018,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| r1_xboole_0(k1_tarski(X0),X1) ),
inference(cnf_transformation,[],[f6975]) ).
fof(f11019,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X2)
| ~ r1_xboole_0(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f6976]) ).
fof(f11021,plain,
! [X0,X1] :
( X0 = X1
| r1_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(cnf_transformation,[],[f6978]) ).
fof(f11022,plain,
! [X0,X1] :
( X0 != X1
| ~ r1_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(cnf_transformation,[],[f6979]) ).
fof(f11023,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,[],[f6981]) ).
fof(f11024,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k4_xboole_0(X1,X2))
| r1_xboole_0(X0,X2) ),
inference(cnf_transformation,[],[f6982]) ).
fof(f11025,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k4_xboole_0(X1,X2))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f6982]) ).
fof(f11026,plain,
! [X0,X1] : r1_xboole_0(k4_xboole_0(X0,k3_xboole_0(X0,X1)),X1),
inference(cnf_transformation,[],[f159]) ).
fof(f11029,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,[],[f6984]) ).
fof(f11030,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f6986]) ).
fof(f11031,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,k4_xboole_0(X2,X1)) ),
inference(cnf_transformation,[],[f6987]) ).
fof(f11032,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,[],[f6988]) ).
fof(f11033,plain,
! [X0,X1] :
( ~ r1_xboole_0(X0,X1)
| k4_xboole_0(X0,X1) = X0 ),
inference(cnf_transformation,[],[f9533]) ).
fof(f11034,plain,
! [X0,X1] :
( k4_xboole_0(X0,X1) != X0
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9533]) ).
fof(f11035,plain,
! [X0,X1] : r1_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f151]) ).
fof(f11036,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,[],[f6989]) ).
fof(f11037,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| r1_xboole_0(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f6990]) ).
fof(f11038,plain,
! [X0,X1] : r1_xboole_0(k4_xboole_0(X0,X1),X1),
inference(cnf_transformation,[],[f148]) ).
fof(f11039,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,[],[f6991]) ).
fof(f11040,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,[],[f6992]) ).
fof(f11041,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,[],[f6993]) ).
fof(f11042,plain,
! [X0,X1] :
( ~ r1_xboole_0(k3_xboole_0(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f6994]) ).
fof(f11044,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f6997]) ).
fof(f11045,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,[],[f6999]) ).
fof(f11046,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,[],[f7001]) ).
fof(f11047,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,k2_xboole_0(X1,X2))
| r1_xboole_0(X0,X2) ),
inference(cnf_transformation,[],[f7002]) ).
fof(f11048,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,k2_xboole_0(X1,X2))
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f7002]) ).
fof(f11049,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,[],[f7002]) ).
fof(f11050,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ~ r1_xboole_0(X1,X0)
| ~ r1_tarski(X1,X0) ),
inference(cnf_transformation,[],[f7004]) ).
fof(f11051,plain,
! [X2,X0,X1] :
( v1_xboole_0(X2)
| ~ r1_xboole_0(X0,X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X2,X0) ),
inference(cnf_transformation,[],[f7006]) ).
fof(f11052,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f7008]) ).
fof(f11053,plain,
! [X0] :
( ~ r1_xboole_0(X0,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f7009]) ).
fof(f11055,plain,
! [X0] : r1_xboole_0(X0,k1_xboole_0),
inference(cnf_transformation,[],[f134]) ).
fof(f11056,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,[],[f7011]) ).
fof(f11057,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,X2) ),
inference(cnf_transformation,[],[f7013]) ).
fof(f11058,plain,
! [X0,X1] :
( ~ r1_xboole_0(X0,X1)
| r1_xboole_0(X1,X0) ),
inference(cnf_transformation,[],[f7014]) ).
fof(f11063,plain,
! [X3,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| ~ r2_hidden(X3,k3_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f9534]) ).
fof(f11064,plain,
! [X0,X1] :
( r2_hidden(sK130(X0,X1),k3_xboole_0(X0,X1))
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9534]) ).
fof(f11065,plain,
! [X3,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ),
inference(cnf_transformation,[],[f9535]) ).
fof(f11066,plain,
! [X0,X1] :
( r2_hidden(sK131(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9535]) ).
fof(f11067,plain,
! [X0,X1] :
( r2_hidden(sK131(X0,X1),X0)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9535]) ).
fof(f11068,plain,
! [X0,X1] :
( ~ r1_xboole_0(X0,X1)
| k1_xboole_0 = k3_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9536]) ).
fof(f11069,plain,
! [X0,X1] :
( k1_xboole_0 != k3_xboole_0(X0,X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9536]) ).
fof(f11070,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,[],[f7019]) ).
fof(f11071,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,[],[f9537]) ).
fof(f11072,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,[],[f9537]) ).
fof(f11073,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,[],[f9538]) ).
fof(f11074,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,[],[f9538]) ).
fof(f11075,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,[],[f7025]) ).
fof(f11076,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,[],[f7026]) ).
fof(f11077,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,[],[f7028]) ).
fof(f11078,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,[],[f7029]) ).
fof(f11079,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,[],[f7030]) ).
fof(f11080,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,[],[f9541]) ).
fof(f11081,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,[],[f9541]) ).
fof(f11082,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(sK132(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(X2,k2_tops_1(X0,X1)) ),
inference(cnf_transformation,[],[f9541]) ).
fof(f11083,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,sK132(X0,X1,X2))
| r2_hidden(X2,k2_tops_1(X0,X1)) ),
inference(cnf_transformation,[],[f9541]) ).
fof(f11084,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(sK132(X0,X1,X2),X0)
| r2_hidden(X2,k2_tops_1(X0,X1)) ),
inference(cnf_transformation,[],[f9541]) ).
fof(f11085,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),sK132(X0,X1,X2))
| r1_xboole_0(X1,sK132(X0,X1,X2))
| r2_hidden(X2,k2_tops_1(X0,X1)) ),
inference(cnf_transformation,[],[f9541]) ).
fof(f11086,plain,
l1_group_1(sK133),
inference(cnf_transformation,[],[f9542]) ).
fof(f11087,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| m1_subset_1(sK134(X0,X1),X0)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9543]) ).
fof(f11088,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| r2_hidden(sK134(X0,X1),X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9543]) ).
fof(f11089,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,[],[f7035]) ).
fof(f11090,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,[],[f7036]) ).
fof(f11091,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_finset_1(sK135(X0)) ),
inference(cnf_transformation,[],[f9544]) ).
fof(f11092,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK135(X0)) ),
inference(cnf_transformation,[],[f9544]) ).
fof(f11093,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK135(X0),k5_finsub_1(X0)) ),
inference(cnf_transformation,[],[f9544]) ).
fof(f11094,plain,
! [X0] : v1_finset_1(sK136(X0)),
inference(cnf_transformation,[],[f9545]) ).
fof(f11095,plain,
! [X0] : v1_xboole_0(sK136(X0)),
inference(cnf_transformation,[],[f9545]) ).
fof(f11096,plain,
! [X0] : m1_subset_1(sK136(X0),k5_finsub_1(X0)),
inference(cnf_transformation,[],[f9545]) ).
fof(f11097,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,[],[f7039]) ).
fof(f11098,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f7040]) ).
fof(f11100,plain,
k1_tarski(k1_xboole_0) = k5_finsub_1(k1_xboole_0),
inference(cnf_transformation,[],[f2409]) ).
fof(f11101,plain,
! [X0] :
( ~ v1_finset_1(X0)
| k1_zfmisc_1(X0) = k5_finsub_1(X0) ),
inference(cnf_transformation,[],[f7042]) ).
fof(f11102,plain,
! [X0] : r1_tarski(k5_finsub_1(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f2407]) ).
fof(f11103,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k5_finsub_1(X0),k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f7043]) ).
fof(f11104,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| v1_finset_1(X1) ),
inference(cnf_transformation,[],[f7044]) ).
fof(f11105,plain,
~ v1_finset_1(k5_numbers),
inference(cnf_transformation,[],[f4125]) ).
fof(f11106,plain,
! [X0] :
( ~ v1_finset_1(X0)
| k1_card_1(X0) = k1_card_1(sK137(X0)) ),
inference(cnf_transformation,[],[f9548]) ).
fof(f11107,plain,
! [X0] :
( ~ v1_finset_1(X0)
| m2_subset_1(sK137(X0),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f9548]) ).
fof(f11108,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,[],[f9548]) ).
fof(f11109,plain,
! [X0] :
( ~ v1_finset_1(X0)
| v1_finset_1(k1_card_1(X0)) ),
inference(cnf_transformation,[],[f9549]) ).
fof(f11110,plain,
! [X0] :
( ~ v1_finset_1(k1_card_1(X0))
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9549]) ).
fof(f11112,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f7048]) ).
fof(f11113,plain,
v1_finset_1(sK138),
inference(cnf_transformation,[],[f9550]) ).
fof(f11114,plain,
v1_funct_1(sK138),
inference(cnf_transformation,[],[f9550]) ).
fof(f11115,plain,
v1_relat_1(sK138),
inference(cnf_transformation,[],[f9550]) ).
fof(f11116,plain,
~ v1_xboole_0(sK138),
inference(cnf_transformation,[],[f9550]) ).
fof(f11117,plain,
v1_finset_1(sK139),
inference(cnf_transformation,[],[f9551]) ).
fof(f11118,plain,
v2_funct_1(sK139),
inference(cnf_transformation,[],[f9551]) ).
fof(f11119,plain,
v1_funct_1(sK139),
inference(cnf_transformation,[],[f9551]) ).
fof(f11120,plain,
v1_relat_1(sK139),
inference(cnf_transformation,[],[f9551]) ).
fof(f11121,plain,
v1_xboole_0(sK139),
inference(cnf_transformation,[],[f9551]) ).
fof(f11123,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f7049]) ).
fof(f11124,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finset_1(k1_relat_1(X0))
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9552]) ).
fof(f11125,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finset_1(X0)
| v1_finset_1(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f9552]) ).
fof(f11126,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,[],[f7053]) ).
fof(f11127,plain,
! [X0] :
( ~ v1_finset_1(X0)
| v1_finset_1(k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f9553]) ).
fof(f11128,plain,
! [X0] :
( ~ v1_finset_1(k1_zfmisc_1(X0))
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9553]) ).
fof(f11129,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X0,X1))
| v1_finset_1(X1)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f7055]) ).
fof(f11130,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X1,X0))
| v1_finset_1(X1)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f7057]) ).
fof(f11132,plain,
! [X3,X0,X1] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r1_tarski(sK140(X1),X3)
| ~ r2_hidden(X3,X1)
| sK140(X1) = X3
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9554]) ).
fof(f11133,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| r2_hidden(sK140(X1),X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9554]) ).
fof(f11135,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ r1_tarski(X0,X1)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f7064]) ).
fof(f11136,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_finset_1(sK141(X0)) ),
inference(cnf_transformation,[],[f9555]) ).
fof(f11137,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK141(X0)) ),
inference(cnf_transformation,[],[f9555]) ).
fof(f11138,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK141(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f9555]) ).
fof(f11139,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f7067]) ).
fof(f11140,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| v1_finset_1(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7068]) ).
fof(f11142,plain,
! [X0,X1] : v1_finset_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f2319]) ).
fof(f11144,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_finset_1(sK142(X0)) ),
inference(cnf_transformation,[],[f9556]) ).
fof(f11145,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK142(X0)) ),
inference(cnf_transformation,[],[f9556]) ).
fof(f11146,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK142(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f9556]) ).
fof(f11149,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f7071]) ).
fof(f11150,plain,
v1_finset_1(sK143),
inference(cnf_transformation,[],[f9557]) ).
fof(f11151,plain,
~ v1_xboole_0(sK143),
inference(cnf_transformation,[],[f9557]) ).
fof(f11152,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK144(X0,X1,X2),X0)
| k1_relat_1(X2) != X0
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9558]) ).
fof(f11153,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k1_funct_1(X2,sK144(X0,X1,X2)),X1)
| k1_relat_1(X2) != X0
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9558]) ).
fof(f11154,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK144(X0,X1,X2),X0)
| k1_relat_1(X2) != X0
| v1_funct_2(X2,X0,X1) ),
inference(cnf_transformation,[],[f9558]) ).
fof(f11155,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k1_funct_1(X2,sK144(X0,X1,X2)),X1)
| k1_relat_1(X2) != X0
| v1_funct_2(X2,X0,X1) ),
inference(cnf_transformation,[],[f9558]) ).
fof(f11159,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,[],[f7075]) ).
fof(f11162,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,[],[f7077]) ).
fof(f11164,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,[],[f7079]) ).
fof(f11168,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,[],[f7083]) ).
fof(f11170,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,[],[f7085]) ).
fof(f11171,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| r1_tarski(k2_relat_1(X2),X1) ),
inference(cnf_transformation,[],[f7086]) ).
fof(f11172,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| r1_tarski(k1_relat_1(X2),X0) ),
inference(cnf_transformation,[],[f7086]) ).
fof(f11173,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,[],[f7088]) ).
fof(f11174,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,[],[f7090]) ).
fof(f11175,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,[],[f7092]) ).
fof(f11176,plain,
! [X3,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(X1,X3) != sK145(X0,X1)
| ~ r2_hidden(X3,k1_relat_1(X1))
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f9559]) ).
fof(f11177,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r2_hidden(sK145(X0,X1),X0)
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f9559]) ).
fof(f11178,plain,
! [X0,X1] :
( v1_funct_1(sK146(X0,X1))
| k1_xboole_0 != X1 ),
inference(cnf_transformation,[],[f9560]) ).
fof(f11179,plain,
! [X0,X1] :
( v1_relat_1(sK146(X0,X1))
| k1_xboole_0 != X1 ),
inference(cnf_transformation,[],[f9560]) ).
fof(f11180,plain,
! [X0,X1] :
( r1_tarski(k2_relat_1(sK146(X0,X1)),X0)
| k1_xboole_0 != X1 ),
inference(cnf_transformation,[],[f9560]) ).
fof(f11181,plain,
! [X0,X1] :
( k1_relat_1(sK146(X0,X1)) = X1
| k1_xboole_0 != X1 ),
inference(cnf_transformation,[],[f9560]) ).
fof(f11182,plain,
! [X0,X1] :
( v1_funct_1(sK146(X0,X1))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9560]) ).
fof(f11183,plain,
! [X0,X1] :
( v1_relat_1(sK146(X0,X1))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9560]) ).
fof(f11184,plain,
! [X0,X1] :
( r1_tarski(k2_relat_1(sK146(X0,X1)),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9560]) ).
fof(f11185,plain,
! [X0,X1] :
( k1_relat_1(sK146(X0,X1)) = X1
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9560]) ).
fof(f11186,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,[],[f7098]) ).
fof(f11187,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| k1_tarski(X1) = k2_relat_1(sK147(X0,X1)) ),
inference(cnf_transformation,[],[f9561]) ).
fof(f11188,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| k1_relat_1(sK147(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f9561]) ).
fof(f11189,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| v1_funct_1(sK147(X0,X1)) ),
inference(cnf_transformation,[],[f9561]) ).
fof(f11190,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| v1_relat_1(sK147(X0,X1)) ),
inference(cnf_transformation,[],[f9561]) ).
fof(f11191,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,[],[f7101]) ).
fof(f11193,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,sK150(X0,X5)) = X5 ),
inference(cnf_transformation,[],[f9564]) ).
fof(f11194,plain,
! [X0,X1,X5] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k2_relat_1(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(sK150(X0,X5),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f9564]) ).
fof(f11195,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,[],[f9564]) ).
fof(f11196,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK148(X0,X1),X1)
| sK148(X0,X1) = k1_funct_1(X0,sK149(X0,X1))
| k2_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9564]) ).
fof(f11197,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK148(X0,X1),X1)
| r2_hidden(sK149(X0,X1),k1_relat_1(X0))
| k2_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9564]) ).
fof(f11198,plain,
! [X3,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK148(X0,X1),X1)
| k1_funct_1(X0,X3) != sK148(X0,X1)
| ~ r2_hidden(X3,k1_relat_1(X0))
| k2_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9564]) ).
fof(f11199,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r2_hidden(sK151(X0,X1),k1_relat_1(X0))
| k1_relat_1(X0) != k1_relat_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9565]) ).
fof(f11200,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(X0,sK151(X0,X1)) != k1_funct_1(X1,sK151(X0,X1))
| k1_relat_1(X0) != k1_relat_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9565]) ).
fof(f11201,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 != k1_relat_1(X0)
| k1_xboole_0 = k2_relat_1(X0) ),
inference(cnf_transformation,[],[f9566]) ).
fof(f11202,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 != k2_relat_1(X0)
| k1_xboole_0 = k1_relat_1(X0) ),
inference(cnf_transformation,[],[f9566]) ).
fof(f11203,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 != k2_relat_1(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f7110]) ).
fof(f11204,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 != k1_relat_1(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f7110]) ).
fof(f11206,plain,
k1_xboole_0 = k1_relat_1(k1_xboole_0),
inference(cnf_transformation,[],[f764]) ).
fof(f11207,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,[],[f7112]) ).
fof(f11208,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,[],[f7112]) ).
fof(f11209,plain,
! [X0] :
( ~ v1_relat_1(X0)
| r1_tarski(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0))) ),
inference(cnf_transformation,[],[f7113]) ).
fof(f11210,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK152(X1),k1_relat_1(X1))
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f9567]) ).
fof(f11211,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK153(X1),k2_relat_1(X1))
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f9568]) ).
fof(f11212,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f7118]) ).
fof(f11213,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f7118]) ).
fof(f11214,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f7120]) ).
fof(f11215,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| r2_hidden(sK155(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,[],[f9569]) ).
fof(f11216,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| r2_hidden(sK154(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,[],[f9569]) ).
fof(f11217,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(sK154(X0,X1,X2,X3),sK155(X0,X1,X2,X3))) != k1_funct_1(X3,k4_tarski(sK154(X0,X1,X2,X3),sK155(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,[],[f9569]) ).
fof(f11218,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(sK156(X0,X1,X3,X4),X0)
| X3 = X4 ),
inference(cnf_transformation,[],[f9570]) ).
fof(f11219,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(sK157(X0,X1,X3,X4),X1)
| X3 = X4 ),
inference(cnf_transformation,[],[f9570]) ).
fof(f11220,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(sK156(X0,X1,X3,X4),sK157(X0,X1,X3,X4))) != k1_funct_1(X4,k4_tarski(sK156(X0,X1,X3,X4),sK157(X0,X1,X3,X4)))
| X3 = X4 ),
inference(cnf_transformation,[],[f9570]) ).
fof(f11221,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,[],[f7126]) ).
fof(f11222,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(sK159(X0,X1,X3,X4),X1)
| X3 = X4 ),
inference(cnf_transformation,[],[f9571]) ).
fof(f11223,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(sK158(X0,X1,X3,X4),X0)
| X3 = X4 ),
inference(cnf_transformation,[],[f9571]) ).
fof(f11224,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(sK158(X0,X1,X3,X4),sK159(X0,X1,X3,X4))) != k1_funct_1(X4,k4_tarski(sK158(X0,X1,X3,X4),sK159(X0,X1,X3,X4)))
| X3 = X4 ),
inference(cnf_transformation,[],[f9571]) ).
fof(f11225,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(sK160(X0,X2,X3),X0)
| X2 = X3 ),
inference(cnf_transformation,[],[f9572]) ).
fof(f11226,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,sK160(X0,X2,X3)) != k1_funct_1(X2,sK160(X0,X2,X3))
| X2 = X3 ),
inference(cnf_transformation,[],[f9572]) ).
fof(f11227,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,[],[f7132]) ).
fof(f11228,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,[],[f7134]) ).
fof(f11229,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,[],[f7136]) ).
fof(f11230,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(sK161(X0,X2,X3),X0)
| X2 = X3 ),
inference(cnf_transformation,[],[f9573]) ).
fof(f11231,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,sK161(X0,X2,X3)) != k1_funct_1(X2,sK161(X0,X2,X3))
| X2 = X3 ),
inference(cnf_transformation,[],[f9573]) ).
fof(f11232,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,sK162(X0,X2,X3)) = X2
| k2_relat_1(X3) != X1
| ~ r2_hidden(X2,X1) ),
inference(cnf_transformation,[],[f9574]) ).
fof(f11233,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| r2_hidden(sK162(X0,X2,X3),X0)
| k2_relat_1(X3) != X1
| ~ r2_hidden(X2,X1) ),
inference(cnf_transformation,[],[f9574]) ).
fof(f11234,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) != sK163(X0,X1,X2)
| ~ r2_hidden(X4,X0)
| k2_relat_1(X2) = X1
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9575]) ).
fof(f11235,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| r2_hidden(sK163(X0,X1,X2),X1)
| k2_relat_1(X2) = X1
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9575]) ).
fof(f11236,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,[],[f7144]) ).
fof(f11237,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,[],[f7146]) ).
fof(f11238,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,[],[f7148]) ).
fof(f11239,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,[],[f9577]) ).
fof(f11241,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,[],[f9577]) ).
fof(f11242,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,[],[f9578]) ).
fof(f11246,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,[],[f7154]) ).
fof(f11248,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,[],[f7154]) ).
fof(f11249,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,[],[f7156]) ).
fof(f11250,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,[],[f7158]) ).
fof(f11251,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,[],[f7160]) ).
fof(f11252,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,[],[f7162]) ).
fof(f11253,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,[],[f7164]) ).
fof(f11254,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,[],[f7166]) ).
fof(f11255,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,[],[f7168]) ).
fof(f11256,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,[],[f7170]) ).
fof(f11257,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,[],[f7172]) ).
fof(f11258,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,[],[f7174]) ).
fof(f11259,plain,
! [X0] :
( ~ sP8(X0)
| ~ v2_funct_1(X0)
| sP7(X0) ),
inference(cnf_transformation,[],[f9579]) ).
fof(f11260,plain,
! [X0] :
( ~ sP8(X0)
| ~ sP7(X0)
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9579]) ).
fof(f11271,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| sP8(X0) ),
inference(cnf_transformation,[],[f9315]) ).
fof(f11272,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,[],[f7178]) ).
fof(f11273,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,[],[f7178]) ).
fof(f11274,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,[],[f7180]) ).
fof(f11275,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,[],[f7182]) ).
fof(f11276,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(sK166(X0,X1))
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f9583]) ).
fof(f11277,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_relat_1(sK166(X0,X1))
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f9583]) ).
fof(f11278,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(sK167(X0,X1))
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f9583]) ).
fof(f11279,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_relat_1(sK167(X0,X1))
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f9583]) ).
fof(f11280,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k5_relat_1(X1,sK166(X0,X1)) = k5_relat_1(X1,sK167(X0,X1))
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f9583]) ).
fof(f11281,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(sK167(X0,X1)) = X0
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f9583]) ).
fof(f11282,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(sK166(X0,X1)) = X0
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f9583]) ).
fof(f11283,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| sK166(X0,X1) != sK167(X0,X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f9583]) ).
fof(f11284,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,[],[f7186]) ).
fof(f11285,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,[],[f7188]) ).
fof(f11286,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,[],[f7190]) ).
fof(f11287,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,[],[f7192]) ).
fof(f11288,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,[],[f9585]) ).
fof(f11289,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,[],[f9585]) ).
fof(f11290,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,[],[f9585]) ).
fof(f11291,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(sK169(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK168(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X0,sK168(X0,X1,X2)),k1_relat_1(X1))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9588]) ).
fof(f11292,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,sK169(X0,X1,X2)) != k1_funct_1(X1,k1_funct_1(X0,sK169(X0,X1,X2)))
| r2_hidden(sK168(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X0,sK168(X0,X1,X2)),k1_relat_1(X1))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9588]) ).
fof(f11293,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(sK169(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK168(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK168(X0,X1,X2),k1_relat_1(X0))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9588]) ).
fof(f11294,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,sK169(X0,X1,X2)) != k1_funct_1(X1,k1_funct_1(X0,sK169(X0,X1,X2)))
| r2_hidden(sK168(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK168(X0,X1,X2),k1_relat_1(X0))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9588]) ).
fof(f11295,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(sK169(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(sK168(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,sK168(X0,X1,X2)),k1_relat_1(X1))
| ~ r2_hidden(sK168(X0,X1,X2),k1_relat_1(X0))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9588]) ).
fof(f11296,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,sK169(X0,X1,X2)) != k1_funct_1(X1,k1_funct_1(X0,sK169(X0,X1,X2)))
| ~ r2_hidden(sK168(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,sK168(X0,X1,X2)),k1_relat_1(X1))
| ~ r2_hidden(sK168(X0,X1,X2),k1_relat_1(X0))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9588]) ).
fof(f11297,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,[],[f7198]) ).
fof(f11299,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k5_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f7200]) ).
fof(f11300,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,[],[f7201]) ).
fof(f11301,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,[],[f7202]) ).
fof(f11302,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,[],[f7203]) ).
fof(f11303,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,[],[f7204]) ).
fof(f11304,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,[],[f7205]) ).
fof(f11305,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,[],[f7206]) ).
fof(f11306,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,[],[f7207]) ).
fof(f11307,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 = k5_relat_1(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f7208]) ).
fof(f11308,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 = k5_relat_1(k1_xboole_0,X0) ),
inference(cnf_transformation,[],[f7208]) ).
fof(f11309,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,[],[f7209]) ).
fof(f11310,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,[],[f7210]) ).
fof(f11311,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,[],[f7211]) ).
fof(f11312,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,[],[f7213]) ).
fof(f11313,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,[],[f7215]) ).
fof(f11314,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,[],[f7217]) ).
fof(f11315,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,[],[f7219]) ).
fof(f11316,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,[],[f7221]) ).
fof(f11317,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,[],[f7222]) ).
fof(f11318,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,[],[f7223]) ).
fof(f11319,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(sK173(X0,X1,X7,X8),X8),X1) ),
inference(cnf_transformation,[],[f9591]) ).
fof(f11320,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,sK173(X0,X1,X7,X8)),X0) ),
inference(cnf_transformation,[],[f9591]) ).
fof(f11321,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,[],[f9591]) ).
fof(f11322,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK170(X0,X1,X2),sK171(X0,X1,X2)),X2)
| r2_hidden(k4_tarski(sK172(X0,X1,X2),sK171(X0,X1,X2)),X1)
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9591]) ).
fof(f11323,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK170(X0,X1,X2),sK171(X0,X1,X2)),X2)
| r2_hidden(k4_tarski(sK170(X0,X1,X2),sK172(X0,X1,X2)),X0)
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9591]) ).
fof(f11324,plain,
! [X2,X0,X1,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(sK170(X0,X1,X2),sK171(X0,X1,X2)),X2)
| ~ r2_hidden(k4_tarski(X5,sK171(X0,X1,X2)),X1)
| ~ r2_hidden(k4_tarski(sK170(X0,X1,X2),X5),X0)
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9591]) ).
fof(f11325,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| v1_relat_1(k5_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f7226]) ).
fof(f11326,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| v1_xboole_0(k5_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f7226]) ).
fof(f11327,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| v1_relat_1(k5_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f7228]) ).
fof(f11328,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| v1_xboole_0(k5_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f7228]) ).
fof(f11329,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,[],[f7230]) ).
fof(f11330,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,[],[f7230]) ).
fof(f11332,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,[],[f7230]) ).
fof(f11333,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,[],[f7230]) ).
fof(f11335,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,[],[f7232]) ).
fof(f11339,plain,
k1_xboole_0 = k2_relat_1(k1_xboole_0),
inference(cnf_transformation,[],[f1361]) ).
fof(f11340,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,[],[f7236]) ).
fof(f11341,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,[],[f7237]) ).
fof(f11346,plain,
! [X0,X1,X5] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(k4_tarski(sK176(X0,X5),X5),X0) ),
inference(cnf_transformation,[],[f9594]) ).
fof(f11347,plain,
! [X0,X1,X6,X5] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) != X1
| ~ r2_hidden(k4_tarski(X6,X5),X0)
| r2_hidden(X5,X1) ),
inference(cnf_transformation,[],[f9594]) ).
fof(f11348,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK174(X0,X1),X1)
| r2_hidden(k4_tarski(sK175(X0,X1),sK174(X0,X1)),X0)
| k2_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9594]) ).
fof(f11349,plain,
! [X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK174(X0,X1),X1)
| ~ r2_hidden(k4_tarski(X3,sK174(X0,X1)),X0)
| k2_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9594]) ).
fof(f11350,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f7243]) ).
fof(f11351,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f7243]) ).
fof(f11352,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f7245]) ).
fof(f11353,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(sK177(X0,X1,X3),X0)
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X3,X2) ),
inference(cnf_transformation,[],[f9595]) ).
fof(f11354,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(sK178(X0,X1,X3),X1)
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X3,X2) ),
inference(cnf_transformation,[],[f9595]) ).
fof(f11355,plain,
! [X2,X3,X0,X1] :
( k4_tarski(sK177(X0,X1,X3),sK178(X0,X1,X3)) = X3
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X3,X2) ),
inference(cnf_transformation,[],[f9595]) ).
fof(f11356,plain,
! [X2,X3,X0] :
( r1_tarski(X0,k2_zfmisc_1(sK180(X0),sK181(X0)))
| k4_tarski(X2,X3) != sK179(X0) ),
inference(cnf_transformation,[],[f9596]) ).
fof(f11357,plain,
! [X0] :
( r1_tarski(X0,k2_zfmisc_1(sK180(X0),sK181(X0)))
| r2_hidden(sK179(X0),X0) ),
inference(cnf_transformation,[],[f9596]) ).
fof(f11358,plain,
! [X2,X3,X0] :
( k4_tarski(X2,X3) != sK182(X0)
| ~ r2_hidden(X3,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9597]) ).
fof(f11359,plain,
! [X2,X3,X0] :
( k4_tarski(X2,X3) != sK182(X0)
| ~ r2_hidden(X2,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9597]) ).
fof(f11360,plain,
! [X0] :
( r2_hidden(sK182(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9597]) ).
fof(f11361,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,[],[f7250]) ).
fof(f11362,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| r2_hidden(sK184(X0,X1,X2),X1)
| ~ r2_hidden(X2,X3) ),
inference(cnf_transformation,[],[f9598]) ).
fof(f11363,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| r2_hidden(sK183(X0,X1,X2),X0)
| ~ r2_hidden(X2,X3) ),
inference(cnf_transformation,[],[f9598]) ).
fof(f11364,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| k4_tarski(sK183(X0,X1,X2),sK184(X0,X1,X2)) = X2
| ~ r2_hidden(X2,X3) ),
inference(cnf_transformation,[],[f9598]) ).
fof(f11368,plain,
! [X2,X3,X0] :
( sP9(X0)
| k4_tarski(X2,X3) != sK188(X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f9602]) ).
fof(f11369,plain,
! [X0] :
( sP9(X0)
| r2_hidden(sK188(X0),X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f9602]) ).
fof(f11370,plain,
! [X2,X3,X0] :
( sP9(X0)
| k4_tarski(X2,X3) != sK188(X0)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f9602]) ).
fof(f11371,plain,
! [X0] :
( sP9(X0)
| r2_hidden(sK188(X0),X0)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f9602]) ).
fof(f11372,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,[],[f9605]) ).
fof(f11373,plain,
! [X0] :
( r2_hidden(k4_tarski(sK189(X0),sK191(X0)),X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f9605]) ).
fof(f11374,plain,
! [X0] :
( r2_hidden(k4_tarski(sK189(X0),sK190(X0)),X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f9605]) ).
fof(f11375,plain,
! [X0] :
( sK190(X0) != sK191(X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f9605]) ).
fof(f11376,plain,
! [X0] :
( ~ v1_relat_1(X0)
| r2_hidden(k4_tarski(sK192(X0),sK193(X0)),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9606]) ).
fof(f11377,plain,
! [X0,X1,X5] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(k4_tarski(X5,sK196(X0,X5)),X0) ),
inference(cnf_transformation,[],[f9609]) ).
fof(f11378,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,[],[f9609]) ).
fof(f11379,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK194(X0,X1),X1)
| r2_hidden(k4_tarski(sK194(X0,X1),sK195(X0,X1)),X0)
| k1_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9609]) ).
fof(f11380,plain,
! [X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK194(X0,X1),X1)
| ~ r2_hidden(k4_tarski(sK194(X0,X1),X3),X0)
| k1_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9609]) ).
fof(f11382,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r2_hidden(k4_tarski(sK197(X0,X1),sK198(X0,X1)),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9612]) ).
fof(f11383,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k4_tarski(sK197(X0,X1),sK198(X0,X1)),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9612]) ).
fof(f11386,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r2_hidden(k4_tarski(sK199(X0,X1),sK200(X0,X1)),X0)
| r2_hidden(k4_tarski(sK199(X0,X1),sK200(X0,X1)),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9615]) ).
fof(f11387,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k4_tarski(sK199(X0,X1),sK200(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK199(X0,X1),sK200(X0,X1)),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9615]) ).
fof(f11388,plain,
! [X0,X1] : v1_relat_1(k1_tarski(k4_tarski(X0,X1))),
inference(cnf_transformation,[],[f701]) ).
fof(f11389,plain,
! [X0,X4] :
( ~ v1_relat_1(X0)
| k4_tarski(sK202(X4),sK203(X4)) = X4
| ~ r2_hidden(X4,X0) ),
inference(cnf_transformation,[],[f9618]) ).
fof(f11390,plain,
! [X2,X3,X0] :
( k4_tarski(X2,X3) != sK201(X0)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f9618]) ).
fof(f11391,plain,
! [X0] :
( r2_hidden(sK201(X0),X0)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f9618]) ).
fof(f11392,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,k1_tarski(X3)))
| X1 = X3 ),
inference(cnf_transformation,[],[f9620]) ).
fof(f11394,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,[],[f9620]) ).
fof(f11396,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(k1_tarski(X2),X3))
| X0 = X2 ),
inference(cnf_transformation,[],[f9622]) ).
fof(f11397,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,[],[f9622]) ).
fof(f11398,plain,
! [X3,X0,X1,X6,X7,X4] :
( r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X0)
| r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X1)
| k4_tarski(X6,X7) != sK205(X1)
| k4_tarski(X3,X4) != sK204(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9624]) ).
fof(f11399,plain,
! [X3,X0,X1,X6,X7,X4] :
( ~ r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X1)
| k4_tarski(X6,X7) != sK205(X1)
| k4_tarski(X3,X4) != sK204(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9624]) ).
fof(f11400,plain,
! [X3,X0,X1,X4] :
( r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X0)
| r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X1)
| r2_hidden(sK205(X1),X1)
| k4_tarski(X3,X4) != sK204(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9624]) ).
fof(f11401,plain,
! [X3,X0,X1,X4] :
( ~ r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X1)
| r2_hidden(sK205(X1),X1)
| k4_tarski(X3,X4) != sK204(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9624]) ).
fof(f11402,plain,
! [X0,X1,X6,X7] :
( r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X0)
| r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X1)
| k4_tarski(X6,X7) != sK205(X1)
| r2_hidden(sK204(X0),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9624]) ).
fof(f11403,plain,
! [X0,X1,X6,X7] :
( ~ r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X1)
| k4_tarski(X6,X7) != sK205(X1)
| r2_hidden(sK204(X0),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9624]) ).
fof(f11404,plain,
! [X0,X1] :
( r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X0)
| r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X1)
| r2_hidden(sK205(X1),X1)
| r2_hidden(sK204(X0),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9624]) ).
fof(f11405,plain,
! [X0,X1] :
( ~ r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK206(X0,X1),sK207(X0,X1)),X1)
| r2_hidden(sK205(X1),X1)
| r2_hidden(sK204(X0),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9624]) ).
fof(f11406,plain,
! [X3,X0,X1,X4] :
( r2_hidden(k4_tarski(sK209(X0,X1),sK210(X0,X1)),X0)
| k4_tarski(X3,X4) != sK208(X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9625]) ).
fof(f11407,plain,
! [X3,X0,X1,X4] :
( ~ r2_hidden(k4_tarski(sK209(X0,X1),sK210(X0,X1)),X1)
| k4_tarski(X3,X4) != sK208(X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9625]) ).
fof(f11408,plain,
! [X0,X1] :
( r2_hidden(k4_tarski(sK209(X0,X1),sK210(X0,X1)),X0)
| r2_hidden(sK208(X0),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9625]) ).
fof(f11409,plain,
! [X0,X1] :
( ~ r2_hidden(k4_tarski(sK209(X0,X1),sK210(X0,X1)),X1)
| r2_hidden(sK208(X0),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9625]) ).
fof(f11410,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(k4_tarski(sK211(X0,X3),sK212(X0,X3)),X0)
| r2_hidden(k4_tarski(sK211(X0,X3),sK212(X0,X3)),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| X0 = X3 ),
inference(cnf_transformation,[],[f9627]) ).
fof(f11411,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(k4_tarski(sK211(X0,X3),sK212(X0,X3)),X0)
| ~ r2_hidden(k4_tarski(sK211(X0,X3),sK212(X0,X3)),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| X0 = X3 ),
inference(cnf_transformation,[],[f9627]) ).
fof(f11412,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k4_tarski(sK213(X0,X3),sK214(X0,X3)),X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(X0,X3) ),
inference(cnf_transformation,[],[f9628]) ).
fof(f11413,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(sK213(X0,X3),sK214(X0,X3)),X3)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(X0,X3) ),
inference(cnf_transformation,[],[f9628]) ).
fof(f11414,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k4_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3)),k2_zfmisc_1(X0,X1))
| r2_hidden(k4_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3)),k2_zfmisc_1(X2,X3))
| k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ),
inference(cnf_transformation,[],[f9630]) ).
fof(f11415,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3)),k2_zfmisc_1(X0,X1))
| ~ r2_hidden(k4_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3)),k2_zfmisc_1(X2,X3))
| k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ),
inference(cnf_transformation,[],[f9630]) ).
fof(f11416,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,[],[f7272]) ).
fof(f11417,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(X1,X3) ),
inference(cnf_transformation,[],[f9632]) ).
fof(f11418,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f9632]) ).
fof(f11420,plain,
! [X2,X3,X0,X1] :
( k4_tarski(sK217(X1,X2,X3),sK218(X1,X2,X3)) = X3
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f9633]) ).
fof(f11421,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK218(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f9633]) ).
fof(f11422,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK217(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f9633]) ).
fof(f11423,plain,
! [X2,X0,X1] :
( k4_tarski(sK219(X0),sK220(X0)) = X0
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f9634]) ).
fof(f11427,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,[],[f9636]) ).
fof(f11428,plain,
! [X2,X3,X0,X1] :
( k4_tarski(X0,X1) != k4_tarski(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f7275]) ).
fof(f11429,plain,
! [X2,X3,X0,X1] :
( k4_tarski(X0,X1) != k4_tarski(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f7275]) ).
fof(f11430,plain,
! [X2,X0,X1,X8] :
( k2_zfmisc_1(X0,X1) != X2
| ~ r2_hidden(X8,X2)
| k4_tarski(sK224(X0,X1,X8),sK225(X0,X1,X8)) = X8 ),
inference(cnf_transformation,[],[f9639]) ).
fof(f11431,plain,
! [X2,X0,X1,X8] :
( k2_zfmisc_1(X0,X1) != X2
| ~ r2_hidden(X8,X2)
| r2_hidden(sK225(X0,X1,X8),X1) ),
inference(cnf_transformation,[],[f9639]) ).
fof(f11432,plain,
! [X2,X0,X1,X8] :
( k2_zfmisc_1(X0,X1) != X2
| ~ r2_hidden(X8,X2)
| r2_hidden(sK224(X0,X1,X8),X0) ),
inference(cnf_transformation,[],[f9639]) ).
fof(f11433,plain,
! [X2,X10,X0,X1,X8,X9] :
( k2_zfmisc_1(X0,X1) != X2
| k4_tarski(X9,X10) != X8
| ~ r2_hidden(X10,X1)
| ~ r2_hidden(X9,X0)
| r2_hidden(X8,X2) ),
inference(cnf_transformation,[],[f9639]) ).
fof(f11434,plain,
! [X2,X0,X1] :
( r2_hidden(sK221(X0,X1,X2),X2)
| sK221(X0,X1,X2) = k4_tarski(sK222(X0,X1,X2),sK223(X0,X1,X2))
| k2_zfmisc_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9639]) ).
fof(f11435,plain,
! [X2,X0,X1] :
( r2_hidden(sK221(X0,X1,X2),X2)
| r2_hidden(sK223(X0,X1,X2),X1)
| k2_zfmisc_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9639]) ).
fof(f11436,plain,
! [X2,X0,X1] :
( r2_hidden(sK221(X0,X1,X2),X2)
| r2_hidden(sK222(X0,X1,X2),X0)
| k2_zfmisc_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9639]) ).
fof(f11437,plain,
! [X2,X0,X1,X4,X5] :
( ~ r2_hidden(sK221(X0,X1,X2),X2)
| k4_tarski(X4,X5) != sK221(X0,X1,X2)
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X0)
| k2_zfmisc_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9639]) ).
fof(f11439,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,[],[f7276]) ).
fof(f11440,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,[],[f7278]) ).
fof(f11441,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(k1_tarski(X0),k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f7279]) ).
fof(f11442,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,[],[f7281]) ).
fof(f11444,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| k1_xboole_0 != k2_zfmisc_1(X0,k1_tarski(X1)) ),
inference(cnf_transformation,[],[f7282]) ).
fof(f11445,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| k1_xboole_0 != k2_zfmisc_1(k1_tarski(X1),X0) ),
inference(cnf_transformation,[],[f7282]) ).
fof(f11446,plain,
! [X0] : r1_tarski(k1_tarski(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f405]) ).
fof(f11447,plain,
! [X0,X1] :
( sK226(X0,X1) != X1
| k1_xboole_0 = X0
| k1_tarski(X1) = X0 ),
inference(cnf_transformation,[],[f9640]) ).
fof(f11448,plain,
! [X0,X1] :
( r2_hidden(sK226(X0,X1),X0)
| k1_xboole_0 = X0
| k1_tarski(X1) = X0 ),
inference(cnf_transformation,[],[f9640]) ).
fof(f11449,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k1_tarski(X1))
| k1_tarski(X1) = X0
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9642]) ).
fof(f11453,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| r1_tarski(k1_tarski(X0),X1) ),
inference(cnf_transformation,[],[f9643]) ).
fof(f11456,plain,
k1_zfmisc_1(k1_xboole_0) = k1_tarski(k1_xboole_0),
inference(cnf_transformation,[],[f326]) ).
fof(f11457,plain,
! [X3,X0,X1] :
( k1_tarski(X0) != X1
| ~ r2_hidden(X3,X1)
| X0 = X3 ),
inference(cnf_transformation,[],[f9646]) ).
fof(f11459,plain,
! [X0,X1] :
( r2_hidden(sK227(X0,X1),X1)
| sK227(X0,X1) = X0
| k1_tarski(X0) = X1 ),
inference(cnf_transformation,[],[f9646]) ).
fof(f11460,plain,
! [X0,X1] :
( ~ r2_hidden(sK227(X0,X1),X1)
| sK227(X0,X1) != X0
| k1_tarski(X0) = X1 ),
inference(cnf_transformation,[],[f9646]) ).
fof(f11461,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(sK228(X0,X1),X3),k4_xboole_0(X0,k1_tarski(X1))) ),
inference(cnf_transformation,[],[f9647]) ).
fof(f11462,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| m2_relset_1(sK228(X0,X1),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9647]) ).
fof(f11463,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_funct_2(sK228(X0,X1),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9647]) ).
fof(f11464,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_funct_1(sK228(X0,X1)) ),
inference(cnf_transformation,[],[f9647]) ).
fof(f11465,plain,
! [X1] :
( ~ m1_subset_1(X1,sK229)
| ~ v1_xboole_0(k4_xboole_0(sK229,k1_tarski(X1))) ),
inference(cnf_transformation,[],[f9648]) ).
fof(f11466,plain,
~ v1_xboole_0(sK229),
inference(cnf_transformation,[],[f9648]) ).
fof(f11467,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,[],[f7288]) ).
fof(f11468,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k4_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7289]) ).
fof(f11470,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(f11471,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(f11474,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k1_xboole_0 = k4_xboole_0(k1_tarski(X0),X1) ),
inference(cnf_transformation,[],[f9649]) ).
fof(f11477,plain,
! [X0,X1] :
( k1_tarski(X1) = X0
| k1_xboole_0 = X0
| k1_xboole_0 != k4_xboole_0(X0,k1_tarski(X1)) ),
inference(cnf_transformation,[],[f7292]) ).
fof(f11478,plain,
! [X0,X1] :
( k4_xboole_0(X0,k1_tarski(X1)) != X0
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f9651]) ).
fof(f11479,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| k4_xboole_0(X0,k1_tarski(X1)) = X0 ),
inference(cnf_transformation,[],[f9651]) ).
fof(f11480,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k4_xboole_0(X1,k1_tarski(X2)))
| X0 != X2 ),
inference(cnf_transformation,[],[f9653]) ).
fof(f11482,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,k4_xboole_0(X1,k1_tarski(X2))) ),
inference(cnf_transformation,[],[f9653]) ).
fof(f11483,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,[],[f7294]) ).
fof(f11484,plain,
! [X0,X1] :
( k1_xboole_0 != k4_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f7295]) ).
fof(f11485,plain,
! [X0,X1] :
( k1_tarski(X0) != k4_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f9654]) ).
fof(f11486,plain,
! [X0,X1] :
( X0 = X1
| k1_tarski(X0) = k4_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(cnf_transformation,[],[f9654]) ).
fof(f11487,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X0,X2),X1) ),
inference(cnf_transformation,[],[f7296]) ).
fof(f11488,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k4_xboole_0(X1,X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f7297]) ).
fof(f11489,plain,
! [X0,X1] :
( k1_xboole_0 != k4_xboole_0(X0,X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9655]) ).
fof(f11490,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k1_xboole_0 = k4_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9655]) ).
fof(f11491,plain,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f105]) ).
fof(f11492,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,[],[f7299]) ).
fof(f11493,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X2,X1),k4_xboole_0(X2,X0)) ),
inference(cnf_transformation,[],[f7300]) ).
fof(f11494,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f7301]) ).
fof(f11495,plain,
! [X0,X1] :
( k4_xboole_0(X0,X1) != k4_xboole_0(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f7302]) ).
fof(f11496,plain,
! [X0] : k1_xboole_0 = k4_xboole_0(k1_xboole_0,X0),
inference(cnf_transformation,[],[f65]) ).
fof(f11497,plain,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f64]) ).
fof(f11498,plain,
! [X2,X0,X1,X4] :
( k4_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X4,X1) ),
inference(cnf_transformation,[],[f9659]) ).
fof(f11499,plain,
! [X2,X0,X1,X4] :
( k4_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X2)
| r2_hidden(X4,X0) ),
inference(cnf_transformation,[],[f9659]) ).
fof(f11500,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,[],[f9659]) ).
fof(f11501,plain,
! [X2,X0,X1] :
( r2_hidden(sK230(X0,X1,X2),X2)
| ~ r2_hidden(sK230(X0,X1,X2),X1)
| k4_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9659]) ).
fof(f11502,plain,
! [X2,X0,X1] :
( r2_hidden(sK230(X0,X1,X2),X2)
| r2_hidden(sK230(X0,X1,X2),X0)
| k4_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9659]) ).
fof(f11503,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK230(X0,X1,X2),X2)
| r2_hidden(sK230(X0,X1,X2),X1)
| ~ r2_hidden(sK230(X0,X1,X2),X0)
| k4_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9659]) ).
fof(f11504,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,[],[f7303]) ).
fof(f11505,plain,
! [X0] :
( r2_hidden(sK231(X0),X0)
| v4_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9660]) ).
fof(f11506,plain,
! [X0] :
( ~ v4_membered(sK231(X0))
| v4_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9660]) ).
fof(f11507,plain,
! [X0] :
( r2_hidden(sK232(X0),X0)
| v3_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9661]) ).
fof(f11508,plain,
! [X0] :
( ~ v3_membered(sK232(X0))
| v3_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9661]) ).
fof(f11509,plain,
! [X0] :
( r2_hidden(sK233(X0),X0)
| v2_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9662]) ).
fof(f11510,plain,
! [X0] :
( ~ v2_membered(sK233(X0))
| v2_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9662]) ).
fof(f11511,plain,
! [X0] :
( r2_hidden(sK234(X0),X0)
| v1_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9663]) ).
fof(f11512,plain,
! [X0] :
( ~ v1_membered(sK234(X0))
| v1_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9663]) ).
fof(f11513,plain,
! [X0] :
( r2_hidden(sK235(X0),X0)
| ~ v1_finset_1(X0)
| v1_finset_1(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9667]) ).
fof(f11514,plain,
! [X0] :
( ~ v1_finset_1(sK235(X0))
| ~ v1_finset_1(X0)
| v1_finset_1(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9667]) ).
fof(f11515,plain,
! [X0,X1] :
( ~ v1_finset_1(k3_tarski(X0))
| ~ r2_hidden(X1,X0)
| v1_finset_1(X1) ),
inference(cnf_transformation,[],[f9667]) ).
fof(f11516,plain,
! [X0] :
( ~ v1_finset_1(k3_tarski(X0))
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9667]) ).
fof(f11517,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| k3_tarski(k1_ordinal1(X0)) = X0 ),
inference(cnf_transformation,[],[f7309]) ).
fof(f11518,plain,
! [X0] :
( r2_hidden(sK236(X0),X0)
| v3_ordinal1(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9668]) ).
fof(f11519,plain,
! [X0] :
( ~ v3_ordinal1(sK236(X0))
| v3_ordinal1(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9668]) ).
fof(f11520,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| v3_ordinal1(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f7311]) ).
fof(f11521,plain,
! [X2,X0,X1] :
( r2_hidden(sK237(X1,X2),X1)
| ~ r1_tarski(X2,k3_tarski(k2_xboole_0(X0,X1)))
| r1_tarski(X2,k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9669]) ).
fof(f11522,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(sK237(X1,X2),X2)
| ~ r1_tarski(X2,k3_tarski(k2_xboole_0(X0,X1)))
| r1_tarski(X2,k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9669]) ).
fof(f11523,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X0)
| ~ r1_tarski(k3_tarski(X0),X1)
| r1_tarski(X2,X1) ),
inference(cnf_transformation,[],[f7315]) ).
fof(f11524,plain,
! [X0,X1] :
( r2_hidden(sK239(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,[],[f9670]) ).
fof(f11525,plain,
! [X0,X1] :
( r2_hidden(sK238(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,[],[f9670]) ).
fof(f11526,plain,
! [X0,X1] :
( ~ r1_xboole_0(sK238(X0,X1),sK239(X0,X1))
| k3_tarski(k3_xboole_0(X0,X1)) = k3_xboole_0(k3_tarski(X0),k3_tarski(X1)) ),
inference(cnf_transformation,[],[f9670]) ).
fof(f11527,plain,
! [X0,X1] :
( sK238(X0,X1) != sK239(X0,X1)
| k3_tarski(k3_xboole_0(X0,X1)) = k3_xboole_0(k3_tarski(X0),k3_tarski(X1)) ),
inference(cnf_transformation,[],[f9670]) ).
fof(f11528,plain,
! [X0] : r1_tarski(X0,k1_zfmisc_1(k3_tarski(X0))),
inference(cnf_transformation,[],[f425]) ).
fof(f11529,plain,
! [X0] : k3_tarski(k1_zfmisc_1(X0)) = X0,
inference(cnf_transformation,[],[f424]) ).
fof(f11530,plain,
! [X0,X1] :
( r2_hidden(sK240(X0,X1),X0)
| r1_xboole_0(k3_tarski(X0),X1) ),
inference(cnf_transformation,[],[f9671]) ).
fof(f11531,plain,
! [X0,X1] :
( ~ r1_xboole_0(sK240(X0,X1),X1)
| r1_xboole_0(k3_tarski(X0),X1) ),
inference(cnf_transformation,[],[f9671]) ).
fof(f11532,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(f11533,plain,
! [X0,X1] : k3_tarski(k2_xboole_0(X0,X1)) = k2_xboole_0(k3_tarski(X0),k3_tarski(X1)),
inference(cnf_transformation,[],[f421]) ).
fof(f11534,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k3_tarski(X0),k3_tarski(X1)) ),
inference(cnf_transformation,[],[f7319]) ).
fof(f11535,plain,
! [X0,X1] :
( r2_hidden(sK241(X0,X1),X0)
| r1_tarski(k3_tarski(X0),X1) ),
inference(cnf_transformation,[],[f9672]) ).
fof(f11536,plain,
! [X0,X1] :
( ~ r1_tarski(sK241(X0,X1),X1)
| r1_tarski(k3_tarski(X0),X1) ),
inference(cnf_transformation,[],[f9672]) ).
fof(f11537,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k3_tarski(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f418]) ).
fof(f11538,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| r1_tarski(X0,k3_tarski(X1)) ),
inference(cnf_transformation,[],[f7321]) ).
fof(f11541,plain,
k1_xboole_0 = k3_tarski(k1_xboole_0),
inference(cnf_transformation,[],[f327]) ).
fof(f11542,plain,
! [X0,X1,X5] :
( k3_tarski(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(sK244(X0,X5),X0) ),
inference(cnf_transformation,[],[f9675]) ).
fof(f11543,plain,
! [X0,X1,X5] :
( k3_tarski(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(X5,sK244(X0,X5)) ),
inference(cnf_transformation,[],[f9675]) ).
fof(f11544,plain,
! [X0,X1,X6,X5] :
( k3_tarski(X0) != X1
| ~ r2_hidden(X6,X0)
| ~ r2_hidden(X5,X6)
| r2_hidden(X5,X1) ),
inference(cnf_transformation,[],[f9675]) ).
fof(f11545,plain,
! [X0,X1] :
( r2_hidden(sK242(X0,X1),X1)
| r2_hidden(sK243(X0,X1),X0)
| k3_tarski(X0) = X1 ),
inference(cnf_transformation,[],[f9675]) ).
fof(f11546,plain,
! [X0,X1] :
( r2_hidden(sK242(X0,X1),X1)
| r2_hidden(sK242(X0,X1),sK243(X0,X1))
| k3_tarski(X0) = X1 ),
inference(cnf_transformation,[],[f9675]) ).
fof(f11547,plain,
! [X3,X0,X1] :
( ~ r2_hidden(sK242(X0,X1),X1)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(sK242(X0,X1),X3)
| k3_tarski(X0) = X1 ),
inference(cnf_transformation,[],[f9675]) ).
fof(f11548,plain,
! [X0] : m1_eqrel_1(sK245(X0),X0),
inference(cnf_transformation,[],[f9676]) ).
fof(f11549,plain,
! [X0,X1] :
( ~ m1_eqrel_1(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f7322]) ).
fof(f11550,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_eqrel_1(X1,X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f7323]) ).
fof(f11551,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(sK246(X0),X0) ),
inference(cnf_transformation,[],[f9677]) ).
fof(f11552,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,[],[f7327]) ).
fof(f11553,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,[],[f7327]) ).
fof(f11554,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(u1_struct_0(X0),X0) ),
inference(cnf_transformation,[],[f7329]) ).
fof(f11555,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| r2_hidden(sK247(X0,X1),X1) ),
inference(cnf_transformation,[],[f9678]) ).
fof(f11556,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| m1_subset_1(sK247(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f9678]) ).
fof(f11557,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,[],[f7333]) ).
fof(f11558,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,[],[f7335]) ).
fof(f11559,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,[],[f7337]) ).
fof(f11560,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,[],[f7337]) ).
fof(f11561,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,[],[f9679]) ).
fof(f11562,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,[],[f9679]) ).
fof(f11563,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,[],[f7340]) ).
fof(f11564,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,[],[f7342]) ).
fof(f11565,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,[],[f7343]) ).
fof(f11566,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,[],[f7343]) ).
fof(f11567,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,[],[f7344]) ).
fof(f11568,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,[],[f7345]) ).
fof(f11569,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,[],[f7347]) ).
fof(f11570,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,[],[f7349]) ).
fof(f11571,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,[],[f7350]) ).
fof(f11572,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(sK248(X0,X1,X2,X3),X0)
| k6_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9682]) ).
fof(f11573,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(sK248(X0,X1,X2,X3),X1)
| ~ r2_hidden(sK248(X0,X1,X2,X3),X3)
| k6_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9682]) ).
fof(f11574,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(sK248(X0,X1,X2,X3),X1)
| r2_hidden(sK248(X0,X1,X2,X3),X2)
| k6_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9682]) ).
fof(f11575,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(sK248(X0,X1,X2,X3),X1)
| r2_hidden(sK248(X0,X1,X2,X3),X3)
| ~ r2_hidden(sK248(X0,X1,X2,X3),X2)
| k6_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9682]) ).
fof(f11576,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| m1_subset_1(k2_finseq_1(X0),k1_zfmisc_1(k5_numbers)) ),
inference(cnf_transformation,[],[f7353]) ).
fof(f11577,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,[],[f7355]) ).
fof(f11578,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,[],[f7355]) ).
fof(f11579,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,[],[f7357]) ).
fof(f11580,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| v1_xboole_0(X1)
| k3_finseq_1(sK249(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f9683]) ).
fof(f11581,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| v1_xboole_0(X1)
| m2_finseq_1(sK249(X0,X1),X1) ),
inference(cnf_transformation,[],[f9683]) ).
fof(f11582,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,[],[f7359]) ).
fof(f11583,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,[],[f7361]) ).
fof(f11584,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,[],[f7361]) ).
fof(f11585,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,[],[f7361]) ).
fof(f11586,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,[],[f7362]) ).
fof(f11587,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,[],[f7363]) ).
fof(f11588,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v4_ordinal2(X1)
| k2_finseq_1(X1) != k2_finseq_1(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f7365]) ).
fof(f11589,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,[],[f9684]) ).
fof(f11590,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,[],[f9684]) ).
fof(f11591,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,[],[f7367]) ).
fof(f11592,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| r2_hidden(X0,k2_finseq_1(X0))
| np__0 = X0 ),
inference(cnf_transformation,[],[f7369]) ).
fof(f11593,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v4_ordinal2(X1)
| ~ r2_hidden(X0,k2_finseq_1(X1))
| r1_xreal_0(X0,X1) ),
inference(cnf_transformation,[],[f9686]) ).
fof(f11594,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,[],[f9686]) ).
fof(f11595,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,[],[f9686]) ).
fof(f11597,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| v4_ordinal2(sK250(X0,X1))
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9689]) ).
fof(f11598,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| r2_hidden(sK250(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9689]) ).
fof(f11599,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| r2_hidden(sK250(X0,X1),X0)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9689]) ).
fof(f11602,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| v4_ordinal2(sK251(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f9693]) ).
fof(f11603,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| r2_hidden(sK251(X0,X1),X0)
| r2_hidden(sK251(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9693]) ).
fof(f11604,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| ~ r2_hidden(sK251(X0,X1),X0)
| ~ r2_hidden(sK251(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9693]) ).
fof(f11605,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,[],[f9696]) ).
fof(f11606,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| v4_ordinal2(sK252(X0,X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9696]) ).
fof(f11607,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| r2_hidden(sK252(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9696]) ).
fof(f11608,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| ~ r2_hidden(sK252(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9696]) ).
fof(f11609,plain,
! [X0] :
( ~ v5_membered(X0)
| v4_ordinal2(sK253(X0))
| k5_numbers = X0 ),
inference(cnf_transformation,[],[f9697]) ).
fof(f11610,plain,
! [X0] :
( ~ v5_membered(X0)
| ~ r2_hidden(sK253(X0),X0)
| k5_numbers = X0 ),
inference(cnf_transformation,[],[f9697]) ).
fof(f11611,plain,
! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK254(X0),X0) ),
inference(cnf_transformation,[],[f9698]) ).
fof(f11612,plain,
! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| v4_ordinal2(sK254(X0)) ),
inference(cnf_transformation,[],[f9698]) ).
fof(f11613,plain,
! [X2,X0] :
( ~ v5_membered(X0)
| ~ r2_hidden(X2,X0)
| v4_ordinal2(X2) ),
inference(cnf_transformation,[],[f9701]) ).
fof(f11614,plain,
! [X0] :
( r2_hidden(sK255(X0),X0)
| v5_membered(X0) ),
inference(cnf_transformation,[],[f9701]) ).
fof(f11615,plain,
! [X0] :
( ~ v4_ordinal2(sK255(X0))
| v5_membered(X0) ),
inference(cnf_transformation,[],[f9701]) ).
fof(f11616,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v5_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7382]) ).
fof(f11617,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v4_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7382]) ).
fof(f11618,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v3_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7382]) ).
fof(f11619,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v2_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7382]) ).
fof(f11620,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v1_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7382]) ).
fof(f11621,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v5_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7384]) ).
fof(f11622,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v4_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7384]) ).
fof(f11623,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v3_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7384]) ).
fof(f11624,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v2_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7384]) ).
fof(f11625,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v1_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7384]) ).
fof(f11626,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v5_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7385]) ).
fof(f11627,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v4_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7385]) ).
fof(f11628,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v3_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7385]) ).
fof(f11629,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v2_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7385]) ).
fof(f11630,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7385]) ).
fof(f11631,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_int_1(X0) ),
inference(cnf_transformation,[],[f7386]) ).
fof(f11632,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f7387]) ).
fof(f11633,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,[],[f7389]) ).
fof(f11634,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(sK256(X0,X1),k1_numbers,k5_numbers)
| k3_finseq_1(X0) != k3_finseq_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9702]) ).
fof(f11635,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(sK256(X0,X1),k3_finseq_1(X0))
| k3_finseq_1(X0) != k3_finseq_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9702]) ).
fof(f11636,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,sK256(X0,X1))
| k3_finseq_1(X0) != k3_finseq_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9702]) ).
fof(f11637,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,sK256(X0,X1)) != k1_funct_1(X1,sK256(X0,X1))
| k3_finseq_1(X0) != k3_finseq_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9702]) ).
fof(f11638,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,[],[f9703]) ).
fof(f11639,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,[],[f9703]) ).
fof(f11640,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,[],[f9704]) ).
fof(f11641,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,[],[f9704]) ).
fof(f11642,plain,
! [X0] :
( ~ v1_int_1(X0)
| ~ r1_xreal_0(np__0,X0)
| r2_hidden(X0,k5_numbers) ),
inference(cnf_transformation,[],[f7395]) ).
fof(f11643,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| r1_xreal_0(X1,X0)
| r1_xreal_0(X0,X1) ),
inference(cnf_transformation,[],[f7397]) ).
fof(f11644,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| r1_xreal_0(X0,X0) ),
inference(cnf_transformation,[],[f7399]) ).
fof(f11645,plain,
m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)),
inference(cnf_transformation,[],[f2673]) ).
fof(f11646,plain,
k1_numbers != k5_numbers,
inference(cnf_transformation,[],[f2667]) ).
fof(f11647,plain,
r1_tarski(k5_numbers,k1_numbers),
inference(cnf_transformation,[],[f2657]) ).
fof(f11648,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,[],[f7401]) ).
fof(f11649,plain,
! [X0] :
( m2_subset_1(sK257(X0),k1_numbers,k5_numbers)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9705]) ).
fof(f11650,plain,
! [X0] :
( r2_wellord2(X0,k2_finseq_1(sK257(X0)))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9705]) ).
fof(f11651,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| k1_card_1(X0) = k1_card_1(k2_finseq_1(X0)) ),
inference(cnf_transformation,[],[f7403]) ).
fof(f11652,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| r2_wellord2(k2_finseq_1(X0),X0) ),
inference(cnf_transformation,[],[f7404]) ).
fof(f11653,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,[],[f7406]) ).
fof(f11658,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
| sP10(X0,X2,X1) ),
inference(cnf_transformation,[],[f9712]) ).
fof(f11659,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,[],[f9712]) ).
fof(f11660,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,[],[f9712]) ).
fof(f11661,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)
| ~ sP10(X0,X2,X1)
| m2_subset_1(sK259(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,[],[f9712]) ).
fof(f11662,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)
| ~ sP10(X0,X2,X1)
| r2_hidden(sK259(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,[],[f9712]) ).
fof(f11663,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)
| ~ sP10(X0,X2,X1)
| k1_funct_1(X0,sK259(X0,X2)) != k1_funct_1(X2,sK259(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,[],[f9712]) ).
fof(f11664,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,[],[f7410]) ).
fof(f11665,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,[],[f7410]) ).
fof(f11666,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finseq_1(sK260(X0))
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f9713]) ).
fof(f11667,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(sK260(X0))
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f9713]) ).
fof(f11668,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_relat_1(sK260(X0))
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f9713]) ).
fof(f11669,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r1_tarski(X0,sK260(X0))
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f9713]) ).
fof(f11670,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,[],[f9714]) ).
fof(f11671,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,[],[f9714]) ).
fof(f11672,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_finseq_1(X0)
| k1_relat_1(X0) = k2_finseq_1(sK261(X0)) ),
inference(cnf_transformation,[],[f9717]) ).
fof(f11673,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_finseq_1(X0)
| m2_subset_1(sK261(X0),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f9717]) ).
fof(f11674,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,[],[f9717]) ).
fof(f11675,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v14_lattices(X0) ),
inference(cnf_transformation,[],[f7417]) ).
fof(f11676,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,[],[f7419]) ).
fof(f11677,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,[],[f7421]) ).
fof(f11679,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,[],[f7425]) ).
fof(f11681,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,[],[f7429]) ).
fof(f11682,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK262(X0,X1),u1_struct_0(X0))
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9718]) ).
fof(f11683,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK262(X0,X1) != k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,sK262(X0,X1))
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9718]) ).
fof(f11684,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,[],[f7433]) ).
fof(f11685,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,[],[f7433]) ).
fof(f11688,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f7433]) ).
fof(f11689,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,[],[f7435]) ).
fof(f11690,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,[],[f7435]) ).
fof(f11693,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f7435]) ).
fof(f11694,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,[],[f7436]) ).
fof(f11695,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,[],[f7436]) ).
fof(f11696,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f7436]) ).
fof(f11697,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,[],[f7438]) ).
fof(f11698,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,[],[f7440]) ).
fof(f11699,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,[],[f7442]) ).
fof(f11700,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,[],[f7444]) ).
fof(f11701,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK263(X0,X1),u1_struct_0(X0))
| k6_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9719]) ).
fof(f11702,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK263(X0,X1) != k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,sK263(X0,X1))
| k6_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9719]) ).
fof(f11703,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,[],[f7448]) ).
fof(f11705,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,[],[f7450]) ).
fof(f11706,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,[],[f9721]) ).
fof(f11707,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,[],[f9721]) ).
fof(f11708,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,[],[f9721]) ).
fof(f11709,plain,
! [X0,X1] :
( ~ sP12(X0,X1)
| ~ sP11(X1,X0)
| l3_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9724]) ).
fof(f11710,plain,
! [X0,X1] :
( ~ sP12(X0,X1)
| ~ sP11(X1,X0)
| v17_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9724]) ).
fof(f11711,plain,
! [X0,X1] :
( ~ sP12(X0,X1)
| ~ sP11(X1,X0)
| v10_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9724]) ).
fof(f11712,plain,
! [X0,X1] :
( ~ sP12(X0,X1)
| ~ sP11(X1,X0)
| ~ v3_struct_0(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9724]) ).
fof(f11713,plain,
! [X0,X1] :
( ~ sP12(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))
| sP11(X1,X0) ),
inference(cnf_transformation,[],[f9724]) ).
fof(f11723,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sP12(X1,X0) ),
inference(cnf_transformation,[],[f9322]) ).
fof(f11724,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,[],[f9728]) ).
fof(f11725,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,[],[f9728]) ).
fof(f11726,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,[],[f9728]) ).
fof(f11727,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,[],[f9730]) ).
fof(f11728,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,[],[f9730]) ).
fof(f11729,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,[],[f9730]) ).
fof(f11730,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,[],[f9732]) ).
fof(f11731,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,[],[f9732]) ).
fof(f11732,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,[],[f9732]) ).
fof(f11733,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| ~ sP13(X1,X0)
| l3_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9735]) ).
fof(f11734,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| ~ sP13(X1,X0)
| v11_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9735]) ).
fof(f11735,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| ~ sP13(X1,X0)
| v10_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9735]) ).
fof(f11736,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| ~ sP13(X1,X0)
| ~ v3_struct_0(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9735]) ).
fof(f11737,plain,
! [X0,X1] :
( ~ sP14(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))
| sP13(X1,X0) ),
inference(cnf_transformation,[],[f9735]) ).
fof(f11747,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sP14(X1,X0) ),
inference(cnf_transformation,[],[f9325]) ).
fof(f11749,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,[],[f7464]) ).
fof(f11752,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,[],[f7464]) ).
fof(f11763,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP15(X1,X0) ),
inference(cnf_transformation,[],[f9327]) ).
fof(f11764,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,[],[f7468]) ).
fof(f11765,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,[],[f7468]) ).
fof(f11766,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,[],[f7470]) ).
fof(f11767,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,[],[f7472]) ).
fof(f11768,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,[],[f7472]) ).
fof(f11769,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,[],[f7472]) ).
fof(f11770,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,[],[f9741]) ).
fof(f11771,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,[],[f9741]) ).
fof(f11772,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,[],[f9741]) ).
fof(f11773,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,[],[f9743]) ).
fof(f11774,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,[],[f9743]) ).
fof(f11775,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,[],[f9743]) ).
fof(f11776,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,[],[f9745]) ).
fof(f11777,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,[],[f9745]) ).
fof(f11778,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,[],[f9745]) ).
fof(f11779,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,[],[f9747]) ).
fof(f11780,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,[],[f9747]) ).
fof(f11781,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,[],[f9747]) ).
fof(f11782,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,[],[f7482]) ).
fof(f11783,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(sK264(X0,X1),X3) ),
inference(cnf_transformation,[],[f9748]) ).
fof(f11784,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| r1_tarski(X1,sK264(X0,X1)) ),
inference(cnf_transformation,[],[f9748]) ).
fof(f11785,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| m2_relset_1(sK264(X0,X1),X0,X0) ),
inference(cnf_transformation,[],[f9748]) ).
fof(f11786,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| v1_partfun1(sK264(X0,X1),X0,X0) ),
inference(cnf_transformation,[],[f9748]) ).
fof(f11787,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| v8_relat_2(sK264(X0,X1)) ),
inference(cnf_transformation,[],[f9748]) ).
fof(f11788,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| v3_relat_2(sK264(X0,X1)) ),
inference(cnf_transformation,[],[f9748]) ).
fof(f11789,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,[],[f7486]) ).
fof(f11790,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,[],[f7488]) ).
fof(f11791,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,[],[f7488]) ).
fof(f11792,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,[],[f7488]) ).
fof(f11795,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,[],[f7490]) ).
fof(f11796,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v8_relat_2(X0)
| r1_tarski(k5_relat_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9749]) ).
fof(f11797,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ r1_tarski(k5_relat_1(X0,X0),X0)
| v8_relat_2(X0) ),
inference(cnf_transformation,[],[f9749]) ).
fof(f11798,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,[],[f7493]) ).
fof(f11806,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,[],[f7499]) ).
fof(f11809,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,[],[f7501]) ).
fof(f11811,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,[],[f7503]) ).
fof(f11813,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,[],[f7505]) ).
fof(f11814,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,[],[f7507]) ).
fof(f11815,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f7508]) ).
fof(f11816,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f7508]) ).
fof(f11817,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| v3_struct_0(X0)
| k1_lattice2(k1_lattice2(X0)) = X0 ),
inference(cnf_transformation,[],[f7510]) ).
fof(f11827,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP16(X0) ),
inference(cnf_transformation,[],[f9329]) ).
fof(f11829,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f7514]) ).
fof(f11839,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP17(X1,X0) ),
inference(cnf_transformation,[],[f9331]) ).
fof(f11840,plain,
v3_filter_0(sK265),
inference(cnf_transformation,[],[f9753]) ).
fof(f11841,plain,
v10_lattices(sK265),
inference(cnf_transformation,[],[f9753]) ).
fof(f11842,plain,
v9_lattices(sK265),
inference(cnf_transformation,[],[f9753]) ).
fof(f11843,plain,
v8_lattices(sK265),
inference(cnf_transformation,[],[f9753]) ).
fof(f11844,plain,
v7_lattices(sK265),
inference(cnf_transformation,[],[f9753]) ).
fof(f11845,plain,
v6_lattices(sK265),
inference(cnf_transformation,[],[f9753]) ).
fof(f11846,plain,
v5_lattices(sK265),
inference(cnf_transformation,[],[f9753]) ).
fof(f11847,plain,
v4_lattices(sK265),
inference(cnf_transformation,[],[f9753]) ).
fof(f11848,plain,
v3_lattices(sK265),
inference(cnf_transformation,[],[f9753]) ).
fof(f11849,plain,
~ v3_struct_0(sK265),
inference(cnf_transformation,[],[f9753]) ).
fof(f11850,plain,
l3_lattices(sK265),
inference(cnf_transformation,[],[f9753]) ).
fof(f11851,plain,
v15_lattices(sK266),
inference(cnf_transformation,[],[f9754]) ).
fof(f11852,plain,
v14_lattices(sK266),
inference(cnf_transformation,[],[f9754]) ).
fof(f11853,plain,
v13_lattices(sK266),
inference(cnf_transformation,[],[f9754]) ).
fof(f11854,plain,
v10_lattices(sK266),
inference(cnf_transformation,[],[f9754]) ).
fof(f11855,plain,
v9_lattices(sK266),
inference(cnf_transformation,[],[f9754]) ).
fof(f11856,plain,
v8_lattices(sK266),
inference(cnf_transformation,[],[f9754]) ).
fof(f11857,plain,
v7_lattices(sK266),
inference(cnf_transformation,[],[f9754]) ).
fof(f11858,plain,
v6_lattices(sK266),
inference(cnf_transformation,[],[f9754]) ).
fof(f11859,plain,
v5_lattices(sK266),
inference(cnf_transformation,[],[f9754]) ).
fof(f11860,plain,
v4_lattices(sK266),
inference(cnf_transformation,[],[f9754]) ).
fof(f11861,plain,
v3_lattices(sK266),
inference(cnf_transformation,[],[f9754]) ).
fof(f11862,plain,
~ v3_struct_0(sK266),
inference(cnf_transformation,[],[f9754]) ).
fof(f11863,plain,
l3_lattices(sK266),
inference(cnf_transformation,[],[f9754]) ).
fof(f11864,plain,
v10_lattices(sK267),
inference(cnf_transformation,[],[f9755]) ).
fof(f11865,plain,
v9_lattices(sK267),
inference(cnf_transformation,[],[f9755]) ).
fof(f11866,plain,
v8_lattices(sK267),
inference(cnf_transformation,[],[f9755]) ).
fof(f11867,plain,
v7_lattices(sK267),
inference(cnf_transformation,[],[f9755]) ).
fof(f11868,plain,
v6_lattices(sK267),
inference(cnf_transformation,[],[f9755]) ).
fof(f11869,plain,
v5_lattices(sK267),
inference(cnf_transformation,[],[f9755]) ).
fof(f11870,plain,
v4_lattices(sK267),
inference(cnf_transformation,[],[f9755]) ).
fof(f11871,plain,
v3_lattices(sK267),
inference(cnf_transformation,[],[f9755]) ).
fof(f11872,plain,
~ v3_struct_0(sK267),
inference(cnf_transformation,[],[f9755]) ).
fof(f11873,plain,
l3_lattices(sK267),
inference(cnf_transformation,[],[f9755]) ).
fof(f11874,plain,
v3_lattices(sK268),
inference(cnf_transformation,[],[f9756]) ).
fof(f11875,plain,
~ v3_struct_0(sK268),
inference(cnf_transformation,[],[f9756]) ).
fof(f11876,plain,
l3_lattices(sK268),
inference(cnf_transformation,[],[f9756]) ).
fof(f11877,plain,
v3_lattices(sK269),
inference(cnf_transformation,[],[f9757]) ).
fof(f11878,plain,
l3_lattices(sK269),
inference(cnf_transformation,[],[f9757]) ).
fof(f11879,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,[],[f7518]) ).
fof(f11880,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,[],[f7520]) ).
fof(f11881,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,[],[f7522]) ).
fof(f11887,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,[],[f7528]) ).
fof(f11888,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,[],[f9761]) ).
fof(f11889,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,[],[f9761]) ).
fof(f11890,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,[],[f9761]) ).
fof(f11891,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(sK270(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,[],[f9761]) ).
fof(f11892,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(sK271(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,[],[f9761]) ).
fof(f11893,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),sK270(X0,X1,X2),sK271(X0,X1,X2)),X2)
| r2_hidden(k9_filter_0(X0,sK270(X0,X1,X2),sK271(X0,X1,X2)),X1)
| ~ r1_tarski(k3_relat_1(X2),u1_struct_0(X0))
| k10_filter_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9761]) ).
fof(f11894,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),sK270(X0,X1,X2),sK271(X0,X1,X2)),X2)
| ~ r2_hidden(k9_filter_0(X0,sK270(X0,X1,X2),sK271(X0,X1,X2)),X1)
| ~ r1_tarski(k3_relat_1(X2),u1_struct_0(X0))
| k10_filter_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9761]) ).
fof(f11895,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,[],[f7532]) ).
fof(f11896,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,[],[f7532]) ).
fof(f11897,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,[],[f7532]) ).
fof(f11898,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,[],[f7534]) ).
fof(f11899,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,[],[f7536]) ).
fof(f11900,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,[],[f7538]) ).
fof(f11901,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,[],[f7540]) ).
fof(f11902,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,[],[f7542]) ).
fof(f11903,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,[],[f9764]) ).
fof(f11904,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(sK275(X0,X1,X2,X3),sK273(X0,X1,X2,X3))
| k4_filter_1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9764]) ).
fof(f11905,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(sK274(X0,X1,X2,X3),sK272(X0,X1,X2,X3))
| k4_filter_1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9764]) ).
fof(f11906,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(sK273(X0,X1,X2,X3),k8_eqrel_1(X0,X1))
| k4_filter_1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9764]) ).
fof(f11907,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(sK272(X0,X1,X2,X3),k8_eqrel_1(X0,X1))
| k4_filter_1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9764]) ).
fof(f11908,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,sK272(X0,X1,X2,X3),sK273(X0,X1,X2,X3)) != k6_eqrel_1(X0,X1,k1_binop_1(X2,sK274(X0,X1,X2,X3),sK275(X0,X1,X2,X3)))
| k4_filter_1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9764]) ).
fof(f11909,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,[],[f7546]) ).
fof(f11910,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,[],[f7546]) ).
fof(f11911,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,[],[f7546]) ).
fof(f11912,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,[],[f7546]) ).
fof(f11913,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,[],[f7548]) ).
fof(f11914,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,[],[f7548]) ).
fof(f11915,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,[],[f7548]) ).
fof(f11917,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,[],[f7550]) ).
fof(f11918,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,[],[f9765]) ).
fof(f11919,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,[],[f9765]) ).
fof(f11920,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,[],[f7554]) ).
fof(f11921,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,[],[f7556]) ).
fof(f11927,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,[],[f9767]) ).
fof(f11930,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| v13_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9768]) ).
fof(f11931,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(k1_lattice2(X0))
| v14_lattices(X0) ),
inference(cnf_transformation,[],[f9768]) ).
fof(f11932,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| v14_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9769]) ).
fof(f11933,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(k1_lattice2(X0))
| v13_lattices(X0) ),
inference(cnf_transformation,[],[f9769]) ).
fof(f11934,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,[],[f7564]) ).
fof(f11935,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,[],[f7566]) ).
fof(f11936,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,[],[f7568]) ).
fof(f11937,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,[],[f7568]) ).
fof(f11940,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f7572]) ).
fof(f11941,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u2_lattices(X0) = u1_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f7572]) ).
fof(f11942,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f7572]) ).
fof(f11943,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,[],[f7574]) ).
fof(f11944,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,[],[f7574]) ).
fof(f11945,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,[],[f7574]) ).
fof(f11946,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,[],[f7575]) ).
fof(f11947,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,[],[f7575]) ).
fof(f11948,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,[],[f7575]) ).
fof(f11949,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1)) ),
inference(cnf_transformation,[],[f7576]) ).
fof(f11950,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(k1_realset1(X0,X1)) ),
inference(cnf_transformation,[],[f7578]) ).
fof(f11952,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_relat_1(k1_realset1(X0,X1)) ),
inference(cnf_transformation,[],[f7579]) ).
fof(f11953,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,[],[f7581]) ).
fof(f11954,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,[],[f7581]) ).
fof(f11955,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,[],[f7581]) ).
fof(f11961,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,[],[f7587]) ).
fof(f11962,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,[],[f7589]) ).
fof(f11963,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,[],[f7591]) ).
fof(f11965,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,[],[f7595]) ).
fof(f11966,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,[],[f7597]) ).
fof(f11967,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,[],[f9770]) ).
fof(f11968,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,[],[f9770]) ).
fof(f11969,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,[],[f7601]) ).
fof(f11970,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,[],[f7601]) ).
fof(f11971,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,[],[f7603]) ).
fof(f11972,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,[],[f7605]) ).
fof(f11973,plain,
! [X0,X1] : v1_funct_2(sK276(X0,X1),X0,X1),
inference(cnf_transformation,[],[f9771]) ).
fof(f11974,plain,
! [X0,X1] : v1_funct_1(sK276(X0,X1)),
inference(cnf_transformation,[],[f9771]) ).
fof(f11975,plain,
! [X0,X1] : v1_relat_1(sK276(X0,X1)),
inference(cnf_transformation,[],[f9771]) ).
fof(f11976,plain,
! [X0,X1] : m1_relset_1(sK276(X0,X1),X0,X1),
inference(cnf_transformation,[],[f9771]) ).
fof(f11977,plain,
! [X0,X1] : v1_funct_1(sK277(X0,X1)),
inference(cnf_transformation,[],[f9772]) ).
fof(f11978,plain,
! [X0,X1] : v1_relat_1(sK277(X0,X1)),
inference(cnf_transformation,[],[f9772]) ).
fof(f11979,plain,
! [X0,X1] : m1_relset_1(sK277(X0,X1),X0,X1),
inference(cnf_transformation,[],[f9772]) ).
fof(f11980,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9773]) ).
fof(f11981,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9773]) ).
fof(f11982,plain,
! [X0,X1] : m1_relset_1(sK278(X0,X1),X0,X1),
inference(cnf_transformation,[],[f9774]) ).
fof(f11983,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| r1_tarski(X2,k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f9775]) ).
fof(f11984,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9775]) ).
fof(f11985,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,[],[f7607]) ).
fof(f11986,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,[],[f7609]) ).
fof(f11987,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,[],[f9778]) ).
fof(f11988,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,[],[f9778]) ).
fof(f11989,plain,
! [X0,X1] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK279(X0,X1),u1_struct_0(X0))
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9778]) ).
fof(f11990,plain,
! [X0,X1] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_lattices(X0,sK279(X0,X1),X1) != X1
| k2_lattices(X0,X1,sK279(X0,X1)) != X1
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9778]) ).
fof(f11991,plain,
! [X0,X4] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| sK281(X0) = k2_lattices(X0,X4,sK281(X0)) ),
inference(cnf_transformation,[],[f9781]) ).
fof(f11992,plain,
! [X0,X4] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| sK281(X0) = k2_lattices(X0,sK281(X0),X4) ),
inference(cnf_transformation,[],[f9781]) ).
fof(f11993,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| m1_subset_1(sK281(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f9781]) ).
fof(f11994,plain,
! [X0,X1] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK280(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v13_lattices(X0) ),
inference(cnf_transformation,[],[f9781]) ).
fof(f11995,plain,
! [X0,X1] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| k2_lattices(X0,sK280(X0,X1),X1) != X1
| k2_lattices(X0,X1,sK280(X0,X1)) != X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v13_lattices(X0) ),
inference(cnf_transformation,[],[f9781]) ).
fof(f11996,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,[],[f9784]) ).
fof(f11997,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK282(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f9784]) ).
fof(f11998,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK283(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f9784]) ).
fof(f11999,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK284(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f9784]) ).
fof(f12000,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| k2_lattices(X0,sK282(X0),k1_lattices(X0,sK283(X0),sK284(X0))) != k1_lattices(X0,k2_lattices(X0,sK282(X0),sK283(X0)),k2_lattices(X0,sK282(X0),sK284(X0)))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f9784]) ).
fof(f12001,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,[],[f9787]) ).
fof(f12002,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK285(X0),u1_struct_0(X0))
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f9787]) ).
fof(f12003,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK286(X0),u1_struct_0(X0))
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f9787]) ).
fof(f12004,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| sK285(X0) != k2_lattices(X0,sK285(X0),k1_lattices(X0,sK285(X0),sK286(X0)))
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f9787]) ).
fof(f12005,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,[],[f9790]) ).
fof(f12006,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK287(X0),u1_struct_0(X0))
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f9790]) ).
fof(f12007,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK288(X0),u1_struct_0(X0))
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f9790]) ).
fof(f12008,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| sK288(X0) != k1_lattices(X0,k2_lattices(X0,sK287(X0),sK288(X0)),sK288(X0))
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f9790]) ).
fof(f12009,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,[],[f9793]) ).
fof(f12010,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK289(X0),u1_struct_0(X0))
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f9793]) ).
fof(f12011,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK290(X0),u1_struct_0(X0))
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f9793]) ).
fof(f12012,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK291(X0),u1_struct_0(X0))
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f9793]) ).
fof(f12013,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| k2_lattices(X0,sK289(X0),k2_lattices(X0,sK290(X0),sK291(X0))) != k2_lattices(X0,k2_lattices(X0,sK289(X0),sK290(X0)),sK291(X0))
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f9793]) ).
fof(f12014,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,[],[f9796]) ).
fof(f12015,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK292(X0),u1_struct_0(X0))
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f9796]) ).
fof(f12016,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK293(X0),u1_struct_0(X0))
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f9796]) ).
fof(f12017,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| k2_lattices(X0,sK292(X0),sK293(X0)) != k2_lattices(X0,sK293(X0),sK292(X0))
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f9796]) ).
fof(f12018,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,[],[f7625]) ).
fof(f12019,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k3_xboole_0(X1,X2) = k3_lopclset(X0,X1,X2) ),
inference(cnf_transformation,[],[f7627]) ).
fof(f12020,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k3_lopclset(X0,X1,X1) = X1 ),
inference(cnf_transformation,[],[f7629]) ).
fof(f12021,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k3_lopclset(X0,X1,X2) = k3_lopclset(X0,X2,X1) ),
inference(cnf_transformation,[],[f7631]) ).
fof(f12022,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k3_lopclset(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f7633]) ).
fof(f12023,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)
| k1_lattices(X0,X1,X2) = k3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f7635]) ).
fof(f12024,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_lattices(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7637]) ).
fof(f12025,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))
| k1_lattices(X0,X1,X1) = X1 ),
inference(cnf_transformation,[],[f7639]) ).
fof(f12026,plain,
! [X3,X0,X1] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k6_lattices(X0) != X1
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_lattices(X0,X3,X1) = X1 ),
inference(cnf_transformation,[],[f9799]) ).
fof(f12027,plain,
! [X3,X0,X1] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k6_lattices(X0) != X1
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_lattices(X0,X1,X3) = X1 ),
inference(cnf_transformation,[],[f9799]) ).
fof(f12028,plain,
! [X0,X1] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK294(X0,X1),u1_struct_0(X0))
| k6_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9799]) ).
fof(f12029,plain,
! [X0,X1] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_lattices(X0,sK294(X0,X1),X1) != X1
| k1_lattices(X0,X1,sK294(X0,X1)) != X1
| k6_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9799]) ).
fof(f12030,plain,
! [X0,X4] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| sK296(X0) = k1_lattices(X0,X4,sK296(X0)) ),
inference(cnf_transformation,[],[f9802]) ).
fof(f12031,plain,
! [X0,X4] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| sK296(X0) = k1_lattices(X0,sK296(X0),X4) ),
inference(cnf_transformation,[],[f9802]) ).
fof(f12032,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| m1_subset_1(sK296(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f9802]) ).
fof(f12033,plain,
! [X0,X1] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK295(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v14_lattices(X0) ),
inference(cnf_transformation,[],[f9802]) ).
fof(f12034,plain,
! [X0,X1] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| k1_lattices(X0,sK295(X0,X1),X1) != X1
| k1_lattices(X0,X1,sK295(X0,X1)) != X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v14_lattices(X0) ),
inference(cnf_transformation,[],[f9802]) ).
fof(f12035,plain,
! [X0,X6,X4,X5] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v5_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))
| k1_lattices(X0,X4,k1_lattices(X0,X5,X6)) = k1_lattices(X0,k1_lattices(X0,X4,X5),X6) ),
inference(cnf_transformation,[],[f9805]) ).
fof(f12036,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK297(X0),u1_struct_0(X0))
| v5_lattices(X0) ),
inference(cnf_transformation,[],[f9805]) ).
fof(f12037,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK298(X0),u1_struct_0(X0))
| v5_lattices(X0) ),
inference(cnf_transformation,[],[f9805]) ).
fof(f12038,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK299(X0),u1_struct_0(X0))
| v5_lattices(X0) ),
inference(cnf_transformation,[],[f9805]) ).
fof(f12039,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| k1_lattices(X0,sK297(X0),k1_lattices(X0,sK298(X0),sK299(X0))) != k1_lattices(X0,k1_lattices(X0,sK297(X0),sK298(X0)),sK299(X0))
| v5_lattices(X0) ),
inference(cnf_transformation,[],[f9805]) ).
fof(f12040,plain,
! [X3,X0,X4] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| k1_lattices(X0,X3,X4) = k1_lattices(X0,X4,X3) ),
inference(cnf_transformation,[],[f9808]) ).
fof(f12041,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK300(X0),u1_struct_0(X0))
| v4_lattices(X0) ),
inference(cnf_transformation,[],[f9808]) ).
fof(f12042,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK301(X0),u1_struct_0(X0))
| v4_lattices(X0) ),
inference(cnf_transformation,[],[f9808]) ).
fof(f12043,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| k1_lattices(X0,sK300(X0),sK301(X0)) != k1_lattices(X0,sK301(X0),sK300(X0))
| v4_lattices(X0) ),
inference(cnf_transformation,[],[f9808]) ).
fof(f12044,plain,
! [X2,X0,X1] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2) ),
inference(cnf_transformation,[],[f7649]) ).
fof(f12045,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k2_xboole_0(X1,X2) = k2_lopclset(X0,X1,X2) ),
inference(cnf_transformation,[],[f7651]) ).
fof(f12046,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k2_lopclset(X0,X1,X1) = X1 ),
inference(cnf_transformation,[],[f7653]) ).
fof(f12047,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k2_lopclset(X0,X1,X2) = k2_lopclset(X0,X2,X1) ),
inference(cnf_transformation,[],[f7655]) ).
fof(f12048,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k2_lopclset(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f7657]) ).
fof(f12049,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,[],[f7659]) ).
fof(f12050,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,[],[f9811]) ).
fof(f12051,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(sK302(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9811]) ).
fof(f12052,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(sK303(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9811]) ).
fof(f12053,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(sK304(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9811]) ).
fof(f12054,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,sK302(X0,X1),k2_binop_1(X0,X0,X0,X1,sK303(X0,X1),sK304(X0,X1))) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,sK302(X0,X1),sK303(X0,X1)),sK304(X0,X1))
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9811]) ).
fof(f12055,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,[],[f9814]) ).
fof(f12056,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(sK305(X0,X1),X0)
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9814]) ).
fof(f12057,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(sK306(X0,X1),X0)
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9814]) ).
fof(f12058,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,sK305(X0,X1),sK306(X0,X1)) != k2_binop_1(X0,X0,X0,X1,sK306(X0,X1),sK305(X0,X1))
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9814]) ).
fof(f12059,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(sK307(X0,X1,X2,X3,X4),X0)
| X3 = X4 ),
inference(cnf_transformation,[],[f9815]) ).
fof(f12060,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(sK308(X0,X1,X2,X3,X4),X1)
| X3 = X4 ),
inference(cnf_transformation,[],[f9815]) ).
fof(f12061,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,sK307(X0,X1,X2,X3,X4),sK308(X0,X1,X2,X3,X4)) != k2_binop_1(X0,X1,X2,X4,sK307(X0,X1,X2,X3,X4),sK308(X0,X1,X2,X3,X4))
| X3 = X4 ),
inference(cnf_transformation,[],[f9815]) ).
fof(f12064,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| v1_xcmplx_0(sK309(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f9819]) ).
fof(f12065,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| r2_hidden(sK309(X0,X1),X0)
| r2_hidden(sK309(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9819]) ).
fof(f12066,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| ~ r2_hidden(sK309(X0,X1),X0)
| ~ r2_hidden(sK309(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9819]) ).
fof(f12068,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| v1_xcmplx_0(sK310(X0,X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9822]) ).
fof(f12069,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| r2_hidden(sK310(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9822]) ).
fof(f12070,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| ~ r2_hidden(sK310(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9822]) ).
fof(f12071,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xcmplx_0(sK311(X0))
| k2_numbers = X0 ),
inference(cnf_transformation,[],[f9823]) ).
fof(f12072,plain,
! [X0] :
( ~ v1_membered(X0)
| ~ r2_hidden(sK311(X0),X0)
| k2_numbers = X0 ),
inference(cnf_transformation,[],[f9823]) ).
fof(f12073,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK312(X0),X0) ),
inference(cnf_transformation,[],[f9824]) ).
fof(f12074,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xboole_0(X0)
| v1_xcmplx_0(sK312(X0)) ),
inference(cnf_transformation,[],[f9824]) ).
fof(f12075,plain,
! [X2,X0] :
( ~ v1_membered(X0)
| ~ r2_hidden(X2,X0)
| v1_xcmplx_0(X2) ),
inference(cnf_transformation,[],[f9827]) ).
fof(f12076,plain,
! [X0] :
( r2_hidden(sK313(X0),X0)
| v1_membered(X0) ),
inference(cnf_transformation,[],[f9827]) ).
fof(f12077,plain,
! [X0] :
( ~ v1_xcmplx_0(sK313(X0))
| v1_membered(X0) ),
inference(cnf_transformation,[],[f9827]) ).
fof(f12078,plain,
! [X0,X1] :
( ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0)
| v1_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7675]) ).
fof(f12079,plain,
! [X0] :
( ~ v1_xcmplx_0(X0)
| v1_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7676]) ).
fof(f12080,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ m1_subset_1(X1,X0)
| v1_xreal_0(X1) ),
inference(cnf_transformation,[],[f7677]) ).
fof(f12081,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1) ),
inference(cnf_transformation,[],[f7677]) ).
fof(f12082,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1) ),
inference(cnf_transformation,[],[f7678]) ).
fof(f12083,plain,
! [X0] :
( ~ v1_int_1(X0)
| v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f7679]) ).
fof(f12084,plain,
! [X0] :
( ~ v1_int_1(X0)
| v1_xcmplx_0(X0) ),
inference(cnf_transformation,[],[f7679]) ).
fof(f12085,plain,
v1_int_1(sK314),
inference(cnf_transformation,[],[f9828]) ).
fof(f12086,plain,
v1_xreal_0(sK314),
inference(cnf_transformation,[],[f9828]) ).
fof(f12087,plain,
v1_xcmplx_0(sK314),
inference(cnf_transformation,[],[f9828]) ).
fof(f12088,plain,
m1_subset_1(sK314,k1_numbers),
inference(cnf_transformation,[],[f9828]) ).
fof(f12089,plain,
v1_xreal_0(sK315),
inference(cnf_transformation,[],[f9829]) ).
fof(f12090,plain,
v1_xcmplx_0(sK315),
inference(cnf_transformation,[],[f9829]) ).
fof(f12091,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v1_xcmplx_0(X0) ),
inference(cnf_transformation,[],[f7680]) ).
fof(f12092,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ r1_tarski(X0,X1)
| v1_membered(X0) ),
inference(cnf_transformation,[],[f7682]) ).
fof(f12093,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v3_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7683]) ).
fof(f12094,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v2_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7683]) ).
fof(f12095,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v1_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7683]) ).
fof(f12096,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v2_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7684]) ).
fof(f12097,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v1_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7684]) ).
fof(f12098,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| v1_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7685]) ).
fof(f12099,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v3_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7686]) ).
fof(f12100,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v2_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7686]) ).
fof(f12101,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v1_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7686]) ).
fof(f12105,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v2_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7688]) ).
fof(f12106,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v1_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7688]) ).
fof(f12109,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| v1_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7690]) ).
fof(f12111,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v3_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7693]) ).
fof(f12112,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v2_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7693]) ).
fof(f12113,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7693]) ).
fof(f12114,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ v2_membered(X0)
| v2_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7695]) ).
fof(f12115,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ v2_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7695]) ).
fof(f12116,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ v1_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7697]) ).
fof(f12118,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v2_membered(X1) ),
inference(cnf_transformation,[],[f7698]) ).
fof(f12119,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1) ),
inference(cnf_transformation,[],[f7698]) ).
fof(f12121,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1) ),
inference(cnf_transformation,[],[f7699]) ).
fof(f12123,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v2_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7702]) ).
fof(f12124,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v1_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7702]) ).
fof(f12125,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v2_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7703]) ).
fof(f12126,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v1_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7703]) ).
fof(f12127,plain,
v2_membered(k1_numbers),
inference(cnf_transformation,[],[f3003]) ).
fof(f12128,plain,
v1_membered(k1_numbers),
inference(cnf_transformation,[],[f3003]) ).
fof(f12130,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_numbers))
| v2_membered(X0) ),
inference(cnf_transformation,[],[f7704]) ).
fof(f12131,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_numbers))
| v1_membered(X0) ),
inference(cnf_transformation,[],[f7704]) ).
fof(f12132,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_membered(X0) ),
inference(cnf_transformation,[],[f7705]) ).
fof(f12133,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,[],[f9832]) ).
fof(f12134,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(sK316(X0,X1,X2),X0)
| v2_funct_1(X2) ),
inference(cnf_transformation,[],[f9832]) ).
fof(f12135,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(sK317(X0,X1,X2),X0)
| v2_funct_1(X2) ),
inference(cnf_transformation,[],[f9832]) ).
fof(f12136,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,sK316(X0,X1,X2)) = k8_funct_2(X0,X1,X2,sK317(X0,X1,X2))
| v2_funct_1(X2) ),
inference(cnf_transformation,[],[f9832]) ).
fof(f12137,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)
| sK316(X0,X1,X2) != sK317(X0,X1,X2)
| v2_funct_1(X2) ),
inference(cnf_transformation,[],[f9832]) ).
fof(f12138,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,[],[f7709]) ).
fof(f12139,plain,
v1_finseq_1(sK318),
inference(cnf_transformation,[],[f9833]) ).
fof(f12140,plain,
v1_finset_1(sK318),
inference(cnf_transformation,[],[f9833]) ).
fof(f12141,plain,
v2_funct_1(sK318),
inference(cnf_transformation,[],[f9833]) ).
fof(f12142,plain,
v1_funct_1(sK318),
inference(cnf_transformation,[],[f9833]) ).
fof(f12143,plain,
v1_relat_1(sK318),
inference(cnf_transformation,[],[f9833]) ).
fof(f12144,plain,
v1_xboole_0(sK318),
inference(cnf_transformation,[],[f9833]) ).
fof(f12145,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| r1_tarski(k2_relat_1(sK319(X0,X1)),X1) ),
inference(cnf_transformation,[],[f9836]) ).
fof(f12146,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| k1_relat_1(sK319(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f9836]) ).
fof(f12147,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| v2_funct_1(sK319(X0,X1)) ),
inference(cnf_transformation,[],[f9836]) ).
fof(f12148,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| v1_funct_1(sK319(X0,X1)) ),
inference(cnf_transformation,[],[f9836]) ).
fof(f12149,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| v1_relat_1(sK319(X0,X1)) ),
inference(cnf_transformation,[],[f9836]) ).
fof(f12150,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,[],[f9836]) ).
fof(f12152,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,[],[f9839]) ).
fof(f12153,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| k1_funct_1(X1,sK320(X0,X1)) = k1_funct_1(X1,sK321(X0,X1))
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f9839]) ).
fof(f12154,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| r2_hidden(sK321(X0,X1),X0)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f9839]) ).
fof(f12155,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| r2_hidden(sK320(X0,X1),X0)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f9839]) ).
fof(f12156,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| sK320(X0,X1) != sK321(X0,X1)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f9839]) ).
fof(f12162,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 = X1
| sP18(X0,X2) ),
inference(cnf_transformation,[],[f9333]) ).
fof(f12163,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 != X0
| sP18(X0,X2) ),
inference(cnf_transformation,[],[f9333]) ).
fof(f12164,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k1_tarski(X0),X1)
| ~ v1_funct_1(X2)
| v2_funct_1(X2) ),
inference(cnf_transformation,[],[f7717]) ).
fof(f12165,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f7719]) ).
fof(f12166,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f7721]) ).
fof(f12167,plain,
v1_xboole_0(sK324),
inference(cnf_transformation,[],[f9843]) ).
fof(f12168,plain,
v2_funct_1(sK324),
inference(cnf_transformation,[],[f9843]) ).
fof(f12169,plain,
v1_funct_1(sK324),
inference(cnf_transformation,[],[f9843]) ).
fof(f12170,plain,
v1_relat_1(sK324),
inference(cnf_transformation,[],[f9843]) ).
fof(f12171,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(sK326(X0,X3))) ),
inference(cnf_transformation,[],[f9846]) ).
fof(f12172,plain,
! [X2,X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k1_tarski(sK325(X0))),k1_tarski(X2))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9846]) ).
fof(f12173,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,[],[f7725]) ).
fof(f12174,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k9_relat_1(X0,sK327(X0))),sK327(X0))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9847]) ).
fof(f12175,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,[],[f7729]) ).
fof(f12176,plain,
! [X0,X4] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k1_tarski(X4) != k10_relat_1(X0,k1_tarski(sK329(X0)))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9850]) ).
fof(f12177,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK329(X0),k2_relat_1(X0))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9850]) ).
fof(f12178,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v2_funct_1(X0)
| k10_relat_1(X0,k1_tarski(X1)) = k1_tarski(sK328(X0,X1))
| ~ r2_hidden(X1,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f9850]) ).
fof(f12179,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,k4_xboole_0(sK330(X0),sK331(X0))) != k4_xboole_0(k9_relat_1(X0,sK330(X0)),k9_relat_1(X0,sK331(X0)))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9851]) ).
fof(f12180,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,[],[f7735]) ).
fof(f12181,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,k3_xboole_0(sK332(X0),sK333(X0))) != k3_xboole_0(k9_relat_1(X0,sK332(X0)),k9_relat_1(X0,sK333(X0)))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9852]) ).
fof(f12182,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,[],[f7739]) ).
fof(f12183,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,[],[f7741]) ).
fof(f12184,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,[],[f9855]) ).
fof(f12185,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k1_funct_1(X0,sK334(X0)) = k1_funct_1(X0,sK335(X0))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9855]) ).
fof(f12186,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK335(X0),k1_relat_1(X0))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9855]) ).
fof(f12187,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK334(X0),k1_relat_1(X0))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9855]) ).
fof(f12188,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| sK334(X0) != sK335(X0)
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9855]) ).
fof(f12189,plain,
v2_funct_1(sK336),
inference(cnf_transformation,[],[f9856]) ).
fof(f12190,plain,
v1_funct_1(sK336),
inference(cnf_transformation,[],[f9856]) ).
fof(f12191,plain,
v1_relat_1(sK336),
inference(cnf_transformation,[],[f9856]) ).
fof(f12192,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0)
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f7745]) ).
fof(f12195,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,[],[f7747]) ).
fof(f12196,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,[],[f7749]) ).
fof(f12198,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,[],[f7753]) ).
fof(f12199,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,[],[f7755]) ).
fof(f12200,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,[],[f7757]) ).
fof(f12201,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,[],[f7759]) ).
fof(f12202,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,[],[f7761]) ).
fof(f12203,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,[],[f7763]) ).
fof(f12204,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,[],[f7765]) ).
fof(f12205,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,[],[f7766]) ).
fof(f12206,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,[],[f7768]) ).
fof(f12207,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,[],[f7770]) ).
fof(f12208,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,[],[f7772]) ).
fof(f12209,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,[],[f7774]) ).
fof(f12210,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,[],[f7776]) ).
fof(f12211,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,[],[f7778]) ).
fof(f12212,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,[],[f7780]) ).
fof(f12213,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,[],[f7782]) ).
fof(f12214,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,sK339(X0,X1,X6)) = X6 ),
inference(cnf_transformation,[],[f9859]) ).
fof(f12215,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(sK339(X0,X1,X6),X1) ),
inference(cnf_transformation,[],[f9859]) ).
fof(f12216,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(sK339(X0,X1,X6),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f9859]) ).
fof(f12217,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,[],[f9859]) ).
fof(f12218,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK337(X0,X1,X2),X2)
| sK337(X0,X1,X2) = k1_funct_1(X0,sK338(X0,X1,X2))
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9859]) ).
fof(f12219,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK337(X0,X1,X2),X2)
| r2_hidden(sK338(X0,X1,X2),X1)
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9859]) ).
fof(f12220,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK337(X0,X1,X2),X2)
| r2_hidden(sK338(X0,X1,X2),k1_relat_1(X0))
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9859]) ).
fof(f12221,plain,
! [X2,X0,X1,X4] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK337(X0,X1,X2),X2)
| k1_funct_1(X0,X4) != sK337(X0,X1,X2)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,k1_relat_1(X0))
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9859]) ).
fof(f12222,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,[],[f7785]) ).
fof(f12223,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,[],[f7787]) ).
fof(f12224,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,[],[f7789]) ).
fof(f12225,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,[],[f7791]) ).
fof(f12226,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,[],[f7792]) ).
fof(f12227,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,[],[f7793]) ).
fof(f12228,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,[],[f7794]) ).
fof(f12229,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,[],[f7796]) ).
fof(f12230,plain,
! [X0] : k1_xboole_0 = k9_relat_1(k1_xboole_0,X0),
inference(cnf_transformation,[],[f859]) ).
fof(f12231,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 = k9_relat_1(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f7797]) ).
fof(f12232,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k2_relat_1(k7_relat_1(X1,X0)) = k9_relat_1(X1,X0) ),
inference(cnf_transformation,[],[f7798]) ).
fof(f12233,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,[],[f7799]) ).
fof(f12234,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) = k9_relat_1(X0,k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f7800]) ).
fof(f12235,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,[],[f7801]) ).
fof(f12236,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,X0),k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f7802]) ).
fof(f12237,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k9_relat_1(X2,X1))
| r2_hidden(sK340(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f9862]) ).
fof(f12238,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k9_relat_1(X2,X1))
| r2_hidden(k4_tarski(sK340(X0,X1,X2),X0),X2) ),
inference(cnf_transformation,[],[f9862]) ).
fof(f12239,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k9_relat_1(X2,X1))
| r2_hidden(sK340(X0,X1,X2),k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f9862]) ).
fof(f12241,plain,
! [X2,X0,X1,X6] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,X1) != X2
| ~ r2_hidden(X6,X2)
| r2_hidden(sK343(X0,X1,X6),X1) ),
inference(cnf_transformation,[],[f9865]) ).
fof(f12242,plain,
! [X2,X0,X1,X6] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,X1) != X2
| ~ r2_hidden(X6,X2)
| r2_hidden(k4_tarski(sK343(X0,X1,X6),X6),X0) ),
inference(cnf_transformation,[],[f9865]) ).
fof(f12243,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,[],[f9865]) ).
fof(f12244,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK341(X0,X1,X2),X2)
| r2_hidden(sK342(X0,X1,X2),X1)
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9865]) ).
fof(f12245,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK341(X0,X1,X2),X2)
| r2_hidden(k4_tarski(sK342(X0,X1,X2),sK341(X0,X1,X2)),X0)
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9865]) ).
fof(f12246,plain,
! [X2,X0,X1,X4] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK341(X0,X1,X2),X2)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,sK341(X0,X1,X2)),X0)
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9865]) ).
fof(f12247,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,[],[f7806]) ).
fof(f12250,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,[],[f7808]) ).
fof(f12251,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,[],[f7809]) ).
fof(f12256,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,[],[f7815]) ).
fof(f12257,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,[],[f7817]) ).
fof(f12258,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,[],[f7819]) ).
fof(f12259,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,[],[f7821]) ).
fof(f12262,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK344(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,[],[f9869]) ).
fof(f12263,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_funct_1(X1,sK344(X1,X2)) != k1_funct_1(X2,sK344(X1,X2))
| k1_relat_1(X1) != k3_xboole_0(k1_relat_1(X2),X0)
| k7_relat_1(X2,X0) = X1 ),
inference(cnf_transformation,[],[f9869]) ).
fof(f12264,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(k7_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f7825]) ).
fof(f12266,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_relat_1(k7_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f7826]) ).
fof(f12267,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,[],[f7827]) ).
fof(f12268,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,[],[f7829]) ).
fof(f12269,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,[],[f7831]) ).
fof(f12270,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,[],[f7833]) ).
fof(f12271,plain,
! [X0] : k1_xboole_0 = k7_relat_1(k1_xboole_0,X0),
inference(cnf_transformation,[],[f818]) ).
fof(f12272,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 = k7_relat_1(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f7834]) ).
fof(f12273,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,[],[f7835]) ).
fof(f12274,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,[],[f7836]) ).
fof(f12275,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,[],[f7837]) ).
fof(f12276,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,[],[f7839]) ).
fof(f12277,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,[],[f7841]) ).
fof(f12278,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,[],[f7843]) ).
fof(f12279,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,[],[f7845]) ).
fof(f12280,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,[],[f7847]) ).
fof(f12281,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k7_relat_1(X1,X0) = k7_relat_1(k7_relat_1(X1,X0),X0) ),
inference(cnf_transformation,[],[f7848]) ).
fof(f12282,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,[],[f7849]) ).
fof(f12283,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k7_relat_1(X1,X0)),k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f7850]) ).
fof(f12284,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k7_relat_1(X0,k1_relat_1(X0)) = X0 ),
inference(cnf_transformation,[],[f7851]) ).
fof(f12285,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| k7_relat_1(X1,X0) = X1 ),
inference(cnf_transformation,[],[f7853]) ).
fof(f12286,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,[],[f7854]) ).
fof(f12287,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,[],[f7856]) ).
fof(f12288,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,[],[f7857]) ).
fof(f12289,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k1_relat_1(k7_relat_1(X1,X0)),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f7858]) ).
fof(f12290,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k7_relat_1(X1,X0),X1) ),
inference(cnf_transformation,[],[f7859]) ).
fof(f12291,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k1_relat_1(k7_relat_1(X1,X0)),X0) ),
inference(cnf_transformation,[],[f7860]) ).
fof(f12292,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,[],[f9871]) ).
fof(f12293,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,[],[f9871]) ).
fof(f12294,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,[],[f9871]) ).
fof(f12295,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,[],[f9875]) ).
fof(f12296,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,[],[f9875]) ).
fof(f12297,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,[],[f9875]) ).
fof(f12298,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK345(X0,X1,X2),sK346(X0,X1,X2)),X2)
| r2_hidden(k4_tarski(sK345(X0,X1,X2),sK346(X0,X1,X2)),X0)
| k7_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9875]) ).
fof(f12299,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK345(X0,X1,X2),sK346(X0,X1,X2)),X2)
| r2_hidden(sK345(X0,X1,X2),X1)
| k7_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9875]) ).
fof(f12300,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(sK345(X0,X1,X2),sK346(X0,X1,X2)),X2)
| ~ r2_hidden(k4_tarski(sK345(X0,X1,X2),sK346(X0,X1,X2)),X0)
| ~ r2_hidden(sK345(X0,X1,X2),X1)
| k7_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9875]) ).
fof(f12301,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,[],[f7864]) ).
fof(f12302,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,[],[f7866]) ).
fof(f12303,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,[],[f7868]) ).
fof(f12304,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,[],[f9877]) ).
fof(f12305,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,[],[f9877]) ).
fof(f12306,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,[],[f9877]) ).
fof(f12307,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,[],[f7872]) ).
fof(f12308,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,[],[f7874]) ).
fof(f12309,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,[],[f7876]) ).
fof(f12310,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,[],[f7878]) ).
fof(f12311,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_xboole_0 = k10_relat_1(X1,k1_tarski(sK347(X0,X1)))
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f9878]) ).
fof(f12312,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK347(X0,X1),X0)
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f9878]) ).
fof(f12313,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,[],[f9879]) ).
fof(f12314,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,[],[f9879]) ).
fof(f12315,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,[],[f7883]) ).
fof(f12316,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,[],[f7885]) ).
fof(f12317,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,[],[f9883]) ).
fof(f12318,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,[],[f9883]) ).
fof(f12319,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,[],[f9883]) ).
fof(f12320,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK348(X0,X1,X2),X2)
| r2_hidden(k1_funct_1(X0,sK348(X0,X1,X2)),X1)
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9883]) ).
fof(f12321,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK348(X0,X1,X2),X2)
| r2_hidden(sK348(X0,X1,X2),k1_relat_1(X0))
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9883]) ).
fof(f12322,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK348(X0,X1,X2),X2)
| ~ r2_hidden(k1_funct_1(X0,sK348(X0,X1,X2)),X1)
| ~ r2_hidden(sK348(X0,X1,X2),k1_relat_1(X0))
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9883]) ).
fof(f12323,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,[],[f7889]) ).
fof(f12324,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,[],[f7891]) ).
fof(f12325,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,[],[f7893]) ).
fof(f12326,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,[],[f7894]) ).
fof(f12327,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,[],[f7895]) ).
fof(f12328,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,[],[f7896]) ).
fof(f12329,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,[],[f7898]) ).
fof(f12330,plain,
! [X0] : k1_xboole_0 = k10_relat_1(k1_xboole_0,X0),
inference(cnf_transformation,[],[f882]) ).
fof(f12331,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 = k10_relat_1(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f7899]) ).
fof(f12332,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,[],[f7900]) ).
fof(f12333,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) = k10_relat_1(X0,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f7901]) ).
fof(f12334,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,[],[f7902]) ).
fof(f12335,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k10_relat_1(X1,X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f7903]) ).
fof(f12336,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k10_relat_1(X2,X1))
| r2_hidden(sK349(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f9886]) ).
fof(f12337,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k10_relat_1(X2,X1))
| r2_hidden(k4_tarski(X0,sK349(X0,X1,X2)),X2) ),
inference(cnf_transformation,[],[f9886]) ).
fof(f12338,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k10_relat_1(X2,X1))
| r2_hidden(sK349(X0,X1,X2),k2_relat_1(X2)) ),
inference(cnf_transformation,[],[f9886]) ).
fof(f12340,plain,
! [X2,X0,X1,X6] :
( ~ v1_relat_1(X0)
| k10_relat_1(X0,X1) != X2
| ~ r2_hidden(X6,X2)
| r2_hidden(sK352(X0,X1,X6),X1) ),
inference(cnf_transformation,[],[f9889]) ).
fof(f12341,plain,
! [X2,X0,X1,X6] :
( ~ v1_relat_1(X0)
| k10_relat_1(X0,X1) != X2
| ~ r2_hidden(X6,X2)
| r2_hidden(k4_tarski(X6,sK352(X0,X1,X6)),X0) ),
inference(cnf_transformation,[],[f9889]) ).
fof(f12342,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,[],[f9889]) ).
fof(f12343,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK350(X0,X1,X2),X2)
| r2_hidden(sK351(X0,X1,X2),X1)
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9889]) ).
fof(f12344,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK350(X0,X1,X2),X2)
| r2_hidden(k4_tarski(sK350(X0,X1,X2),sK351(X0,X1,X2)),X0)
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9889]) ).
fof(f12345,plain,
! [X2,X0,X1,X4] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK350(X0,X1,X2),X2)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(sK350(X0,X1,X2),X4),X0)
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9889]) ).
fof(f12346,plain,
! [X2,X0,X1] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| r2_hidden(k4_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f7907]) ).
fof(f12347,plain,
! [X2,X0,X1] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| r2_hidden(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f7907]) ).
fof(f12348,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,[],[f7909]) ).
fof(f12349,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,[],[f7909]) ).
fof(f12350,plain,
! [X2,X3,X0,X1] : v1_relat_1(k2_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3))),
inference(cnf_transformation,[],[f702]) ).
fof(f12351,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,[],[f7911]) ).
fof(f12352,plain,
! [X0,X1] : ~ v1_xboole_0(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f473]) ).
fof(f12355,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,[],[f9891]) ).
fof(f12357,plain,
! [X2,X0,X1] :
( k1_tarski(X2) != X0
| k1_xboole_0 = k4_xboole_0(X0,k2_tarski(X1,X2)) ),
inference(cnf_transformation,[],[f9891]) ).
fof(f12358,plain,
! [X2,X0,X1] :
( k1_tarski(X1) != X0
| k1_xboole_0 = k4_xboole_0(X0,k2_tarski(X1,X2)) ),
inference(cnf_transformation,[],[f9891]) ).
fof(f12360,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,[],[f7913]) ).
fof(f12361,plain,
! [X2,X0,X1] :
( k1_xboole_0 != k4_xboole_0(k2_tarski(X0,X1),X2)
| r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f9893]) ).
fof(f12362,plain,
! [X2,X0,X1] :
( k1_xboole_0 != k4_xboole_0(k2_tarski(X0,X1),X2)
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f9893]) ).
fof(f12363,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,[],[f9893]) ).
fof(f12364,plain,
! [X2,X0,X1] :
( k2_tarski(X0,X1) != k4_xboole_0(k2_tarski(X0,X1),X2)
| ~ r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f9895]) ).
fof(f12365,plain,
! [X2,X0,X1] :
( k2_tarski(X0,X1) != k4_xboole_0(k2_tarski(X0,X1),X2)
| ~ r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f9895]) ).
fof(f12366,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,[],[f9895]) ).
fof(f12367,plain,
! [X2,X0,X1] :
( k1_tarski(X0) != k4_xboole_0(k2_tarski(X0,X1),X2)
| X0 = X1
| r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f9897]) ).
fof(f12368,plain,
! [X2,X0,X1] :
( k1_tarski(X0) != k4_xboole_0(k2_tarski(X0,X1),X2)
| ~ r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f9897]) ).
fof(f12369,plain,
! [X2,X0,X1] :
( X0 != X1
| r2_hidden(X0,X2)
| k1_tarski(X0) = k4_xboole_0(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f9897]) ).
fof(f12370,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,[],[f9897]) ).
fof(f12371,plain,
! [X2,X0,X1] :
( k2_tarski(X0,X1) != k3_xboole_0(k2_tarski(X0,X1),X2)
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f7914]) ).
fof(f12372,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| k1_tarski(X0) = k3_xboole_0(k2_tarski(X0,X2),X1)
| X0 != X2 ),
inference(cnf_transformation,[],[f7916]) ).
fof(f12373,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,[],[f7916]) ).
fof(f12374,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ r2_hidden(X1,X2)
| k1_tarski(X0) != k3_xboole_0(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f7917]) ).
fof(f12375,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,[],[f7919]) ).
fof(f12376,plain,
! [X2,X0,X1] : k1_xboole_0 != k2_xboole_0(k2_tarski(X0,X1),X2),
inference(cnf_transformation,[],[f375]) ).
fof(f12377,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| k2_xboole_0(k2_tarski(X0,X2),X1) = X1 ),
inference(cnf_transformation,[],[f7921]) ).
fof(f12378,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_xboole_0(k2_tarski(X0,X1),X2),X2)
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f7922]) ).
fof(f12379,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,[],[f9899]) ).
fof(f12381,plain,
! [X2,X0,X1] :
( k1_tarski(X2) != X0
| r1_tarski(X0,k2_tarski(X1,X2)) ),
inference(cnf_transformation,[],[f9899]) ).
fof(f12384,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_tarski(X0,X1),X2)
| r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f9901]) ).
fof(f12385,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_tarski(X0,X1),X2)
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f9901]) ).
fof(f12386,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| r1_tarski(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f9901]) ).
fof(f12387,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(f12388,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(f12389,plain,
! [X0] : k1_zfmisc_1(k1_tarski(X0)) = k2_tarski(k1_xboole_0,k1_tarski(X0)),
inference(cnf_transformation,[],[f355]) ).
fof(f12390,plain,
! [X2,X3,X0,X1] :
( X0 = X3
| X0 = X2
| ~ r1_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3)) ),
inference(cnf_transformation,[],[f7924]) ).
fof(f12391,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_tarski(X0,X1),k1_tarski(X2))
| k2_tarski(X0,X1) = k1_tarski(X2) ),
inference(cnf_transformation,[],[f7925]) ).
fof(f12392,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_tarski(X0,X1),k1_tarski(X2))
| X0 = X2 ),
inference(cnf_transformation,[],[f7926]) ).
fof(f12394,plain,
! [X0,X1] :
( X0 = X1
| k1_tarski(X0) = k4_xboole_0(k2_tarski(X0,X1),k1_tarski(X1)) ),
inference(cnf_transformation,[],[f7928]) ).
fof(f12395,plain,
! [X0,X1] : k1_xboole_0 = k4_xboole_0(k1_tarski(X0),k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f347]) ).
fof(f12398,plain,
! [X0,X1] : r1_tarski(k1_tarski(X0),k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f337]) ).
fof(f12399,plain,
! [X2,X3,X0,X1] :
( X0 = X3
| X0 = X2
| k2_tarski(X0,X1) != k2_tarski(X2,X3) ),
inference(cnf_transformation,[],[f7929]) ).
fof(f12400,plain,
! [X2,X0,X1] :
( k1_tarski(X0) != k2_tarski(X1,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f7930]) ).
fof(f12401,plain,
! [X2,X0,X1] :
( k1_tarski(X0) != k2_tarski(X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f7931]) ).
fof(f12402,plain,
! [X0] : k1_tarski(X0) = k2_tarski(X0,X0),
inference(cnf_transformation,[],[f258]) ).
fof(f12403,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_xboole_0(k1_tarski(X0),k1_tarski(X1)),
inference(cnf_transformation,[],[f230]) ).
fof(f12404,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f21]) ).
fof(f12405,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f12406,plain,
! [X2,X0,X1,X4] :
( k2_tarski(X0,X1) != X2
| ~ r2_hidden(X4,X2)
| X1 = X4
| X0 = X4 ),
inference(cnf_transformation,[],[f9905]) ).
fof(f12407,plain,
! [X2,X0,X1,X4] :
( k2_tarski(X0,X1) != X2
| X1 != X4
| r2_hidden(X4,X2) ),
inference(cnf_transformation,[],[f9905]) ).
fof(f12408,plain,
! [X2,X0,X1,X4] :
( k2_tarski(X0,X1) != X2
| X0 != X4
| r2_hidden(X4,X2) ),
inference(cnf_transformation,[],[f9905]) ).
fof(f12409,plain,
! [X2,X0,X1] :
( r2_hidden(sK353(X0,X1,X2),X2)
| sK353(X0,X1,X2) = X1
| sK353(X0,X1,X2) = X0
| k2_tarski(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9905]) ).
fof(f12410,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK353(X0,X1,X2),X2)
| sK353(X0,X1,X2) != X1
| k2_tarski(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9905]) ).
fof(f12411,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK353(X0,X1,X2),X2)
| sK353(X0,X1,X2) != X0
| k2_tarski(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9905]) ).
fof(f12412,plain,
~ v1_xboole_0(k1_numbers),
inference(cnf_transformation,[],[f2632]) ).
fof(f12414,plain,
! [X0] :
( np__0 != k1_card_1(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9906]) ).
fof(f12416,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| k1_card_1(X0) = X0 ),
inference(cnf_transformation,[],[f7934]) ).
fof(f12417,plain,
! [X0,X1] :
( k1_card_1(X0) != k1_card_1(k1_tarski(X1))
| k1_tarski(sK354(X0)) = X0 ),
inference(cnf_transformation,[],[f9909]) ).
fof(f12418,plain,
! [X2,X0,X1] :
( k1_tarski(X2) != X0
| k1_card_1(X0) = k1_card_1(k1_tarski(X1)) ),
inference(cnf_transformation,[],[f9909]) ).
fof(f12419,plain,
k1_xboole_0 = k1_card_1(k1_xboole_0),
inference(cnf_transformation,[],[f3175]) ).
fof(f12420,plain,
! [X0] : r2_hidden(k1_card_1(X0),k1_card_1(k1_zfmisc_1(X0))),
inference(cnf_transformation,[],[f3155]) ).
fof(f12421,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| r1_tarski(X0,k2_relat_1(sK355(X0,X1))) ),
inference(cnf_transformation,[],[f9912]) ).
fof(f12422,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| k1_relat_1(sK355(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f9912]) ).
fof(f12423,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| v1_funct_1(sK355(X0,X1)) ),
inference(cnf_transformation,[],[f9912]) ).
fof(f12424,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| v1_relat_1(sK355(X0,X1)) ),
inference(cnf_transformation,[],[f9912]) ).
fof(f12425,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,[],[f9912]) ).
fof(f12426,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f7935]) ).
fof(f12427,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,[],[f7937]) ).
fof(f12428,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,[],[f7939]) ).
fof(f12429,plain,
! [X0,X1] :
( ~ m2_finseq_1(X1,X0)
| m2_relset_1(X1,k5_numbers,X0) ),
inference(cnf_transformation,[],[f7940]) ).
fof(f12430,plain,
! [X0,X1] :
( ~ m2_finseq_1(X1,X0)
| v1_finseq_1(X1) ),
inference(cnf_transformation,[],[f7940]) ).
fof(f12431,plain,
! [X0,X1] :
( ~ m2_finseq_1(X1,X0)
| v1_funct_1(X1) ),
inference(cnf_transformation,[],[f7940]) ).
fof(f12432,plain,
! [X0] :
( ~ v1_finset_1(X0)
| k2_relat_1(sK356(X0)) = X0 ),
inference(cnf_transformation,[],[f9915]) ).
fof(f12433,plain,
! [X0] :
( ~ v1_finset_1(X0)
| v1_finseq_1(sK356(X0)) ),
inference(cnf_transformation,[],[f9915]) ).
fof(f12434,plain,
! [X0] :
( ~ v1_finset_1(X0)
| v1_funct_1(sK356(X0)) ),
inference(cnf_transformation,[],[f9915]) ).
fof(f12435,plain,
! [X0] :
( ~ v1_finset_1(X0)
| v1_relat_1(sK356(X0)) ),
inference(cnf_transformation,[],[f9915]) ).
fof(f12436,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,[],[f9915]) ).
fof(f12439,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,[],[f9917]) ).
fof(f12440,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,[],[f9917]) ).
fof(f12441,plain,
v1_finseq_1(k1_xboole_0),
inference(cnf_transformation,[],[f3267]) ).
fof(f12442,plain,
v1_funct_1(k1_xboole_0),
inference(cnf_transformation,[],[f3267]) ).
fof(f12443,plain,
v1_relat_1(k1_xboole_0),
inference(cnf_transformation,[],[f3267]) ).
fof(f12444,plain,
v1_finseq_1(sK357),
inference(cnf_transformation,[],[f9918]) ).
fof(f12445,plain,
v1_finset_1(sK357),
inference(cnf_transformation,[],[f9918]) ).
fof(f12446,plain,
v1_funct_1(sK357),
inference(cnf_transformation,[],[f9918]) ).
fof(f12447,plain,
v1_relat_1(sK357),
inference(cnf_transformation,[],[f9918]) ).
fof(f12448,plain,
~ v1_xboole_0(sK357),
inference(cnf_transformation,[],[f9918]) ).
fof(f12449,plain,
! [X0] : v1_finseq_1(sK358(X0)),
inference(cnf_transformation,[],[f9919]) ).
fof(f12450,plain,
! [X0] : v1_finset_1(sK358(X0)),
inference(cnf_transformation,[],[f9919]) ).
fof(f12451,plain,
! [X0] : v1_funct_1(sK358(X0)),
inference(cnf_transformation,[],[f9919]) ).
fof(f12452,plain,
! [X0] : v1_relat_1(sK358(X0)),
inference(cnf_transformation,[],[f9919]) ).
fof(f12453,plain,
! [X0] : m1_relset_1(sK358(X0),k5_numbers,X0),
inference(cnf_transformation,[],[f9919]) ).
fof(f12454,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f7946]) ).
fof(f12457,plain,
v1_finseq_1(sK359),
inference(cnf_transformation,[],[f9920]) ).
fof(f12458,plain,
v1_funct_1(sK359),
inference(cnf_transformation,[],[f9920]) ).
fof(f12459,plain,
v1_relat_1(sK359),
inference(cnf_transformation,[],[f9920]) ).
fof(f12461,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| v1_int_1(sK360(X0,X1))
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9923]) ).
fof(f12462,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| r2_hidden(sK360(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9923]) ).
fof(f12463,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| r2_hidden(sK360(X0,X1),X0)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9923]) ).
fof(f12466,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| v1_int_1(sK361(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f9927]) ).
fof(f12467,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| r2_hidden(sK361(X0,X1),X0)
| r2_hidden(sK361(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9927]) ).
fof(f12468,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| ~ r2_hidden(sK361(X0,X1),X0)
| ~ r2_hidden(sK361(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9927]) ).
fof(f12470,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| v1_int_1(sK362(X0,X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9930]) ).
fof(f12471,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| r2_hidden(sK362(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9930]) ).
fof(f12472,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| ~ r2_hidden(sK362(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9930]) ).
fof(f12473,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ r1_tarski(X0,X1)
| v4_membered(X0) ),
inference(cnf_transformation,[],[f7953]) ).
fof(f12474,plain,
! [X0] :
( ~ v4_membered(X0)
| v1_int_1(sK363(X0))
| k4_numbers = X0 ),
inference(cnf_transformation,[],[f9931]) ).
fof(f12475,plain,
! [X0] :
( ~ v4_membered(X0)
| ~ r2_hidden(sK363(X0),X0)
| k4_numbers = X0 ),
inference(cnf_transformation,[],[f9931]) ).
fof(f12476,plain,
! [X0] :
( ~ v4_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK364(X0),X0) ),
inference(cnf_transformation,[],[f9932]) ).
fof(f12477,plain,
! [X0] :
( ~ v4_membered(X0)
| v1_xboole_0(X0)
| v1_int_1(sK364(X0)) ),
inference(cnf_transformation,[],[f9932]) ).
fof(f12478,plain,
! [X0] :
( ~ v4_membered(X0)
| r1_tarski(X0,k4_numbers) ),
inference(cnf_transformation,[],[f7958]) ).
fof(f12479,plain,
! [X2,X0] :
( ~ v4_membered(X0)
| ~ r2_hidden(X2,X0)
| v1_int_1(X2) ),
inference(cnf_transformation,[],[f9935]) ).
fof(f12480,plain,
! [X0] :
( r2_hidden(sK365(X0),X0)
| v4_membered(X0) ),
inference(cnf_transformation,[],[f9935]) ).
fof(f12481,plain,
! [X0] :
( ~ v1_int_1(sK365(X0))
| v4_membered(X0) ),
inference(cnf_transformation,[],[f9935]) ).
fof(f12482,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v5_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7961]) ).
fof(f12483,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v4_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7961]) ).
fof(f12484,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v3_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7961]) ).
fof(f12485,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v2_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7961]) ).
fof(f12486,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v1_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7961]) ).
fof(f12487,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v4_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7963]) ).
fof(f12488,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v3_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7963]) ).
fof(f12489,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v2_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7963]) ).
fof(f12490,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v1_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7963]) ).
fof(f12491,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v5_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7964]) ).
fof(f12492,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v4_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7964]) ).
fof(f12493,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v3_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7964]) ).
fof(f12494,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v2_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7964]) ).
fof(f12495,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v1_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7964]) ).
fof(f12496,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v4_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7965]) ).
fof(f12497,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v3_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7965]) ).
fof(f12498,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v2_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7965]) ).
fof(f12499,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v1_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7965]) ).
fof(f12500,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v5_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7966]) ).
fof(f12501,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v4_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7966]) ).
fof(f12502,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v3_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7966]) ).
fof(f12503,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v2_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7966]) ).
fof(f12504,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v1_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7966]) ).
fof(f12510,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v4_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7968]) ).
fof(f12511,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v3_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7968]) ).
fof(f12512,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v2_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7968]) ).
fof(f12513,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v1_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7968]) ).
fof(f12518,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v5_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7971]) ).
fof(f12519,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v4_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7971]) ).
fof(f12520,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v3_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7971]) ).
fof(f12521,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v2_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7971]) ).
fof(f12522,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7971]) ).
fof(f12523,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v4_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7973]) ).
fof(f12524,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v3_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7973]) ).
fof(f12525,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v2_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7973]) ).
fof(f12526,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7973]) ).
fof(f12528,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v4_membered(X1) ),
inference(cnf_transformation,[],[f7974]) ).
fof(f12529,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v3_membered(X1) ),
inference(cnf_transformation,[],[f7974]) ).
fof(f12530,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v2_membered(X1) ),
inference(cnf_transformation,[],[f7974]) ).
fof(f12531,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1) ),
inference(cnf_transformation,[],[f7974]) ).
fof(f12533,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v3_membered(X1) ),
inference(cnf_transformation,[],[f7975]) ).
fof(f12534,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v2_membered(X1) ),
inference(cnf_transformation,[],[f7975]) ).
fof(f12535,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1) ),
inference(cnf_transformation,[],[f7975]) ).
fof(f12536,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,[],[f7977]) ).
fof(f12537,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,[],[f7977]) ).
fof(f12538,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,[],[f7977]) ).
fof(f12539,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,[],[f7977]) ).
fof(f12540,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v4_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7979]) ).
fof(f12541,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v3_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7979]) ).
fof(f12542,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v2_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7979]) ).
fof(f12543,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7979]) ).
fof(f12544,plain,
! [X0] :
( ~ v1_int_1(X0)
| v4_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7980]) ).
fof(f12545,plain,
! [X0] :
( ~ v1_int_1(X0)
| v3_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7980]) ).
fof(f12546,plain,
! [X0] :
( ~ v1_int_1(X0)
| v2_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7980]) ).
fof(f12547,plain,
! [X0] :
( ~ v1_int_1(X0)
| v1_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7980]) ).
fof(f12548,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v5_membered(X0) ),
inference(cnf_transformation,[],[f7981]) ).
fof(f12549,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v4_membered(X0) ),
inference(cnf_transformation,[],[f7981]) ).
fof(f12550,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v3_membered(X0) ),
inference(cnf_transformation,[],[f7981]) ).
fof(f12551,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_membered(X0) ),
inference(cnf_transformation,[],[f7981]) ).
fof(f12552,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_membered(X0) ),
inference(cnf_transformation,[],[f7981]) ).
fof(f12553,plain,
v5_membered(k1_xboole_0),
inference(cnf_transformation,[],[f3012]) ).
fof(f12554,plain,
v4_membered(k1_xboole_0),
inference(cnf_transformation,[],[f3012]) ).
fof(f12555,plain,
v3_membered(k1_xboole_0),
inference(cnf_transformation,[],[f3012]) ).
fof(f12556,plain,
v2_membered(k1_xboole_0),
inference(cnf_transformation,[],[f3012]) ).
fof(f12557,plain,
v1_membered(k1_xboole_0),
inference(cnf_transformation,[],[f3012]) ).
fof(f12558,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f3012]) ).
fof(f12559,plain,
v4_membered(k4_numbers),
inference(cnf_transformation,[],[f3005]) ).
fof(f12560,plain,
v3_membered(k4_numbers),
inference(cnf_transformation,[],[f3005]) ).
fof(f12561,plain,
v2_membered(k4_numbers),
inference(cnf_transformation,[],[f3005]) ).
fof(f12562,plain,
v1_membered(k4_numbers),
inference(cnf_transformation,[],[f3005]) ).
fof(f12564,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers))
| v5_membered(X0) ),
inference(cnf_transformation,[],[f7982]) ).
fof(f12565,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers))
| v4_membered(X0) ),
inference(cnf_transformation,[],[f7982]) ).
fof(f12566,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers))
| v3_membered(X0) ),
inference(cnf_transformation,[],[f7982]) ).
fof(f12567,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers))
| v2_membered(X0) ),
inference(cnf_transformation,[],[f7982]) ).
fof(f12568,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers))
| v1_membered(X0) ),
inference(cnf_transformation,[],[f7982]) ).
fof(f12569,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k4_numbers))
| v4_membered(X0) ),
inference(cnf_transformation,[],[f7983]) ).
fof(f12570,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k4_numbers))
| v3_membered(X0) ),
inference(cnf_transformation,[],[f7983]) ).
fof(f12571,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k4_numbers))
| v2_membered(X0) ),
inference(cnf_transformation,[],[f7983]) ).
fof(f12572,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k4_numbers))
| v1_membered(X0) ),
inference(cnf_transformation,[],[f7983]) ).
fof(f12573,plain,
v5_membered(sK366),
inference(cnf_transformation,[],[f9936]) ).
fof(f12574,plain,
v4_membered(sK366),
inference(cnf_transformation,[],[f9936]) ).
fof(f12575,plain,
v3_membered(sK366),
inference(cnf_transformation,[],[f9936]) ).
fof(f12576,plain,
v2_membered(sK366),
inference(cnf_transformation,[],[f9936]) ).
fof(f12577,plain,
v1_membered(sK366),
inference(cnf_transformation,[],[f9936]) ).
fof(f12578,plain,
~ v1_xboole_0(sK366),
inference(cnf_transformation,[],[f9936]) ).
fof(f12579,plain,
! [X0] :
( ~ v4_membered(X0)
| v3_membered(X0) ),
inference(cnf_transformation,[],[f7984]) ).
fof(f12580,plain,
! [X0] :
( ~ v5_membered(X0)
| v4_membered(X0) ),
inference(cnf_transformation,[],[f7985]) ).
fof(f12581,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ r1_tarski(X0,X1)
| v3_membered(X0) ),
inference(cnf_transformation,[],[f7987]) ).
fof(f12582,plain,
! [X0] :
( ~ v3_membered(X0)
| r1_tarski(X0,k3_numbers) ),
inference(cnf_transformation,[],[f7988]) ).
fof(f12583,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v3_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7990]) ).
fof(f12584,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v2_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7990]) ).
fof(f12585,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v1_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7990]) ).
fof(f12586,plain,
v3_membered(k3_numbers),
inference(cnf_transformation,[],[f3004]) ).
fof(f12587,plain,
v2_membered(k3_numbers),
inference(cnf_transformation,[],[f3004]) ).
fof(f12588,plain,
v1_membered(k3_numbers),
inference(cnf_transformation,[],[f3004]) ).
fof(f12590,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k3_numbers))
| v3_membered(X0) ),
inference(cnf_transformation,[],[f7991]) ).
fof(f12591,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k3_numbers))
| v2_membered(X0) ),
inference(cnf_transformation,[],[f7991]) ).
fof(f12592,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k3_numbers))
| v1_membered(X0) ),
inference(cnf_transformation,[],[f7991]) ).
fof(f12593,plain,
! [X0] :
( ~ v3_membered(X0)
| v2_membered(X0) ),
inference(cnf_transformation,[],[f7992]) ).
fof(f12595,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| v1_xreal_0(sK367(X0,X1))
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9939]) ).
fof(f12596,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| r2_hidden(sK367(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9939]) ).
fof(f12597,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| r2_hidden(sK367(X0,X1),X0)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9939]) ).
fof(f12600,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| v1_xreal_0(sK368(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f9943]) ).
fof(f12601,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| r2_hidden(sK368(X0,X1),X0)
| r2_hidden(sK368(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9943]) ).
fof(f12602,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| ~ r2_hidden(sK368(X0,X1),X0)
| ~ r2_hidden(sK368(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9943]) ).
fof(f12604,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| v1_xreal_0(sK369(X0,X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9946]) ).
fof(f12605,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| r2_hidden(sK369(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9946]) ).
fof(f12606,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| ~ r2_hidden(sK369(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9946]) ).
fof(f12607,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ r1_tarski(X0,X1)
| v2_membered(X0) ),
inference(cnf_transformation,[],[f7999]) ).
fof(f12608,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_xreal_0(sK370(X0))
| k1_numbers = X0 ),
inference(cnf_transformation,[],[f9947]) ).
fof(f12609,plain,
! [X0] :
( ~ v2_membered(X0)
| ~ r2_hidden(sK370(X0),X0)
| k1_numbers = X0 ),
inference(cnf_transformation,[],[f9947]) ).
fof(f12610,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK371(X0),X0) ),
inference(cnf_transformation,[],[f9948]) ).
fof(f12611,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_xboole_0(X0)
| v1_xreal_0(sK371(X0)) ),
inference(cnf_transformation,[],[f9948]) ).
fof(f12612,plain,
! [X0] :
( ~ v2_membered(X0)
| r1_tarski(X0,k1_numbers) ),
inference(cnf_transformation,[],[f8004]) ).
fof(f12613,plain,
! [X2,X0] :
( ~ v2_membered(X0)
| ~ r2_hidden(X2,X0)
| v1_xreal_0(X2) ),
inference(cnf_transformation,[],[f9951]) ).
fof(f12614,plain,
! [X0] :
( r2_hidden(sK372(X0),X0)
| v2_membered(X0) ),
inference(cnf_transformation,[],[f9951]) ).
fof(f12615,plain,
! [X0] :
( ~ v1_xreal_0(sK372(X0))
| v2_membered(X0) ),
inference(cnf_transformation,[],[f9951]) ).
fof(f12616,plain,
! [X0] : v3_ordinal1(sK373(X0)),
inference(cnf_transformation,[],[f9952]) ).
fof(f12617,plain,
! [X0] : ~ r2_hidden(sK373(X0),X0),
inference(cnf_transformation,[],[f9952]) ).
fof(f12618,plain,
! [X0] :
( r2_hidden(sK374(X0),X0)
| v3_ordinal1(sK374(X0)) ),
inference(cnf_transformation,[],[f9954]) ).
fof(f12619,plain,
! [X0] :
( ~ r2_hidden(sK374(X0),X0)
| ~ v3_ordinal1(sK374(X0)) ),
inference(cnf_transformation,[],[f9954]) ).
fof(f12620,plain,
! [X0] :
( v3_ordinal1(sK376(X0))
| r2_hidden(sK375(X0),X0) ),
inference(cnf_transformation,[],[f9955]) ).
fof(f12621,plain,
! [X0] :
( r1_tarski(X0,sK376(X0))
| r2_hidden(sK375(X0),X0) ),
inference(cnf_transformation,[],[f9955]) ).
fof(f12622,plain,
! [X0] :
( v3_ordinal1(sK376(X0))
| ~ v3_ordinal1(sK375(X0)) ),
inference(cnf_transformation,[],[f9955]) ).
fof(f12623,plain,
! [X0] :
( r1_tarski(X0,sK376(X0))
| ~ v3_ordinal1(sK375(X0)) ),
inference(cnf_transformation,[],[f9955]) ).
fof(f12624,plain,
! [X0] :
( r2_hidden(sK377(X0),X0)
| v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f9956]) ).
fof(f12625,plain,
! [X0] :
( ~ r1_tarski(sK377(X0),X0)
| ~ v3_ordinal1(sK377(X0))
| v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f9956]) ).
fof(f12626,plain,
v3_ordinal1(k1_xboole_0),
inference(cnf_transformation,[],[f1215]) ).
fof(f12627,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ v3_ordinal1(X1)
| r2_hidden(X1,X0)
| X0 = X1
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f8011]) ).
fof(f12628,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ~ r2_hidden(X0,X1)
| v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f8013]) ).
fof(f12629,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| k4_xboole_0(k1_ordinal1(X0),k1_tarski(X0)) = X0 ),
inference(cnf_transformation,[],[f8014]) ).
fof(f12630,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ r2_hidden(X0,X1)
| ~ v2_classes1(X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8016]) ).
fof(f12631,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ r2_hidden(X0,X1)
| ~ v2_classes1(X1)
| r2_hidden(k1_ordinal1(X0),X1) ),
inference(cnf_transformation,[],[f8016]) ).
fof(f12632,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| r1_tarski(k1_ordinal1(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f8017]) ).
fof(f12633,plain,
! [X2,X0] :
( ~ v3_ordinal1(X0)
| ~ v4_ordinal1(X0)
| k1_ordinal1(X2) != X0
| ~ v3_ordinal1(X2) ),
inference(cnf_transformation,[],[f9957]) ).
fof(f12634,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| v3_ordinal1(sK378(X0))
| v4_ordinal1(X0) ),
inference(cnf_transformation,[],[f9957]) ).
fof(f12635,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| k1_ordinal1(sK378(X0)) = X0
| v4_ordinal1(X0) ),
inference(cnf_transformation,[],[f9957]) ).
fof(f12636,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,[],[f9960]) ).
fof(f12637,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| v3_ordinal1(sK379(X0))
| v4_ordinal1(X0) ),
inference(cnf_transformation,[],[f9960]) ).
fof(f12638,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| r2_hidden(sK379(X0),X0)
| v4_ordinal1(X0) ),
inference(cnf_transformation,[],[f9960]) ).
fof(f12639,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ~ r2_hidden(k1_ordinal1(sK379(X0)),X0)
| v4_ordinal1(X0) ),
inference(cnf_transformation,[],[f9960]) ).
fof(f12640,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| v3_ordinal1(k1_ordinal1(X0)) ),
inference(cnf_transformation,[],[f8021]) ).
fof(f12641,plain,
! [X0] : k1_ordinal1(X0) != X0,
inference(cnf_transformation,[],[f1199]) ).
fof(f12645,plain,
! [X0,X1] :
( k1_ordinal1(X0) != k1_ordinal1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8022]) ).
fof(f12647,plain,
! [X0] : k1_ordinal1(X0) = k2_xboole_0(X0,k1_tarski(X0)),
inference(cnf_transformation,[],[f1192]) ).
fof(f12648,plain,
! [X0] : ~ v1_xboole_0(k1_ordinal1(X0)),
inference(cnf_transformation,[],[f1173]) ).
fof(f12649,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f3179]) ).
fof(f12650,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,[],[f8024]) ).
fof(f12651,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,[],[f8024]) ).
fof(f12652,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,[],[f8026]) ).
fof(f12653,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,[],[f8028]) ).
fof(f12654,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,[],[f8030]) ).
fof(f12655,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,[],[f8032]) ).
fof(f12656,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,[],[f8034]) ).
fof(f12657,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,[],[f8036]) ).
fof(f12658,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ~ v1_int_1(X0)
| v1_int_1(k6_xcmplx_0(X0,np__1)) ),
inference(cnf_transformation,[],[f8038]) ).
fof(f12659,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ~ v1_int_1(X0)
| v1_int_1(k2_xcmplx_0(X0,np__1)) ),
inference(cnf_transformation,[],[f8038]) ).
fof(f12660,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| v1_int_1(k2_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8040]) ).
fof(f12661,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| v1_xreal_0(k2_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8040]) ).
fof(f12662,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| v1_xcmplx_0(k2_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8040]) ).
fof(f12663,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_int_1(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8042]) ).
fof(f12664,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8042]) ).
fof(f12665,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8042]) ).
fof(f12666,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v3_xreal_0(k2_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8044]) ).
fof(f12667,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k2_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8044]) ).
fof(f12670,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(k2_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8044]) ).
fof(f12671,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v3_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8046]) ).
fof(f12672,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8046]) ).
fof(f12675,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8046]) ).
fof(f12676,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v3_xreal_0(k2_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8048]) ).
fof(f12677,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v2_xreal_0(k2_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8048]) ).
fof(f12680,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(k2_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8048]) ).
fof(f12681,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v3_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8050]) ).
fof(f12682,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v2_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8050]) ).
fof(f12685,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8050]) ).
fof(f12686,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8052]) ).
fof(f12689,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v3_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8054]) ).
fof(f12692,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v1_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8056]) ).
fof(f12693,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8056]) ).
fof(f12694,plain,
! [X0] : m2_finseq_1(sK380(X0),X0),
inference(cnf_transformation,[],[f9963]) ).
fof(f12695,plain,
! [X0] : m2_finseq_1(k1_xboole_0,X0),
inference(cnf_transformation,[],[f3283]) ).
fof(f12696,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,[],[f8058]) ).
fof(f12697,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,[],[f8060]) ).
fof(f12698,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ r2_hidden(X1,X0)
| v5_membered(k1_setfam_1(X0)) ),
inference(cnf_transformation,[],[f8062]) ).
fof(f12699,plain,
! [X0] :
( r2_hidden(sK381(X0),X0)
| v5_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9964]) ).
fof(f12700,plain,
! [X0] :
( ~ v5_membered(sK381(X0))
| v5_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9964]) ).
fof(f12701,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ r1_tarski(X0,X1)
| v5_membered(X0) ),
inference(cnf_transformation,[],[f8065]) ).
fof(f12702,plain,
! [X0] :
( ~ v5_membered(X0)
| r1_tarski(X0,k5_numbers) ),
inference(cnf_transformation,[],[f8066]) ).
fof(f12703,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,[],[f8067]) ).
fof(f12704,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,[],[f8069]) ).
fof(f12705,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,[],[f8069]) ).
fof(f12706,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,[],[f8071]) ).
fof(f12707,plain,
! [X2,X0,X1] : r1_tarski(k2_tarski(X0,X1),k1_enumset1(X0,X1,X2)),
inference(cnf_transformation,[],[f2435]) ).
fof(f12708,plain,
! [X2,X0,X1] : r1_tarski(k1_tarski(X0),k1_enumset1(X0,X1,X2)),
inference(cnf_transformation,[],[f2434]) ).
fof(f12710,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,[],[f8073]) ).
fof(f12711,plain,
! [X2,X0,X1] : k1_enumset1(X0,X1,X2) = k1_enumset1(X2,X1,X0),
inference(cnf_transformation,[],[f291]) ).
fof(f12712,plain,
! [X2,X0,X1] : k1_enumset1(X0,X1,X2) = k1_enumset1(X1,X2,X0),
inference(cnf_transformation,[],[f289]) ).
fof(f12713,plain,
! [X2,X0,X1] : k1_enumset1(X0,X1,X2) = k1_enumset1(X1,X0,X2),
inference(cnf_transformation,[],[f288]) ).
fof(f12716,plain,
! [X2,X0,X1] : k1_enumset1(X0,X1,X2) = k2_enumset1(X0,X0,X1,X2),
inference(cnf_transformation,[],[f260]) ).
fof(f12718,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(f12719,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(f12720,plain,
! [X2,X0,X1] : k1_enumset1(X0,X1,X2) = k2_xboole_0(k2_tarski(X0,X1),k1_tarski(X2)),
inference(cnf_transformation,[],[f232]) ).
fof(f12722,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,[],[f9968]) ).
fof(f12726,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK382(X0,X1,X2,X3),X3)
| sK382(X0,X1,X2,X3) = X2
| sK382(X0,X1,X2,X3) = X1
| sK382(X0,X1,X2,X3) = X0
| k1_enumset1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9968]) ).
fof(f12727,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK382(X0,X1,X2,X3),X3)
| sK382(X0,X1,X2,X3) != X2
| k1_enumset1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9968]) ).
fof(f12728,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK382(X0,X1,X2,X3),X3)
| sK382(X0,X1,X2,X3) != X1
| k1_enumset1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9968]) ).
fof(f12729,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK382(X0,X1,X2,X3),X3)
| sK382(X0,X1,X2,X3) != X0
| k1_enumset1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9968]) ).
fof(f12730,plain,
v1_int_1(sK383),
inference(cnf_transformation,[],[f9969]) ).
fof(f12731,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| r2_hidden(X0,k1_numbers) ),
inference(cnf_transformation,[],[f9970]) ).
fof(f12732,plain,
! [X0] :
( ~ r2_hidden(X0,k1_numbers)
| v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f9970]) ).
fof(f12733,plain,
l1_rlvect_1(sK384),
inference(cnf_transformation,[],[f9971]) ).
fof(f12734,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,[],[f8076]) ).
fof(f12735,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,[],[f8076]) ).
fof(f12736,plain,
! [X0] :
( v1_finset_1(X0)
| k1_card_1(X0) = k1_card_1(k2_zfmisc_1(X0,X0)) ),
inference(cnf_transformation,[],[f8077]) ).
fof(f12737,plain,
! [X0] :
( v1_finset_1(X0)
| r2_wellord2(k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f8077]) ).
fof(f12738,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,[],[f8078]) ).
fof(f12739,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,[],[f8078]) ).
fof(f12740,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,[],[f8078]) ).
fof(f12741,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,[],[f8078]) ).
fof(f12742,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,[],[f8080]) ).
fof(f12743,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| r2_wellord2(k2_xboole_0(X0,X1),X0)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f8080]) ).
fof(f12744,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,[],[f8081]) ).
fof(f12745,plain,
! [X0,X1] :
( r2_wellord2(k2_xboole_0(X0,X1),X0)
| ~ r2_wellord2(X1,X0)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f8081]) ).
fof(f12746,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,[],[f8081]) ).
fof(f12747,plain,
! [X0,X1] :
( r2_wellord2(k2_xboole_0(X0,X1),X0)
| ~ r2_wellord2(X0,X1)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f8081]) ).
fof(f12748,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v3_ordinal1(X1)
| ~ r2_wellord2(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f8083]) ).
fof(f12749,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,[],[f8084]) ).
fof(f12750,plain,
! [X2,X0,X1] :
( X0 = X1
| r2_wellord2(k1_funct_2(k2_tarski(X0,X1),X2),k2_zfmisc_1(X2,X2)) ),
inference(cnf_transformation,[],[f8084]) ).
fof(f12751,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,[],[f8085]) ).
fof(f12752,plain,
! [X2,X0,X1] :
( X0 = X1
| r2_wellord2(k1_funct_2(X2,k2_tarski(X0,X1)),k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f8085]) ).
fof(f12753,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(f12754,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(f12755,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(f12756,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(f12757,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,[],[f8086]) ).
fof(f12758,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,[],[f8086]) ).
fof(f12759,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,[],[f8088]) ).
fof(f12760,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,[],[f8088]) ).
fof(f12761,plain,
! [X0,X1] : k1_card_1(X0) = k1_card_1(k1_funct_2(k1_tarski(X1),X0)),
inference(cnf_transformation,[],[f3538]) ).
fof(f12762,plain,
! [X0,X1] : r2_wellord2(X0,k1_funct_2(k1_tarski(X1),X0)),
inference(cnf_transformation,[],[f3538]) ).
fof(f12763,plain,
! [X0] :
( m2_subset_1(sK385(X0),k1_numbers,k5_numbers)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9972]) ).
fof(f12764,plain,
! [X0] :
( r2_wellord2(X0,sK385(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9972]) ).
fof(f12765,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| ~ r2_wellord2(X0,X1)
| v1_finset_1(X1) ),
inference(cnf_transformation,[],[f8091]) ).
fof(f12766,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,[],[f8093]) ).
fof(f12767,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,[],[f8095]) ).
fof(f12768,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,[],[f8097]) ).
fof(f12769,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,[],[f8099]) ).
fof(f12770,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,[],[f8101]) ).
fof(f12771,plain,
! [X0,X1] :
( ~ r2_wellord2(X0,k1_tarski(X1))
| k1_tarski(sK386(X0)) = X0 ),
inference(cnf_transformation,[],[f9975]) ).
fof(f12772,plain,
! [X2,X0,X1] :
( k1_tarski(X2) != X0
| r2_wellord2(X0,k1_tarski(X1)) ),
inference(cnf_transformation,[],[f9975]) ).
fof(f12773,plain,
! [X0] :
( ~ r2_wellord2(X0,k1_xboole_0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9976]) ).
fof(f12774,plain,
! [X0] :
( k1_xboole_0 != X0
| r2_wellord2(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f9976]) ).
fof(f12775,plain,
! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f8102]) ).
fof(f12776,plain,
! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X0),X1)
| r2_hidden(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f8102]) ).
fof(f12777,plain,
! [X2,X0,X1] :
( ~ r2_wellord2(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r2_wellord2(X1,X2) ),
inference(cnf_transformation,[],[f8104]) ).
fof(f12778,plain,
! [X2,X0,X1] :
( ~ r2_wellord2(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f8104]) ).
fof(f12779,plain,
! [X0] : ~ r2_wellord2(X0,k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f3154]) ).
fof(f12780,plain,
! [X0,X1] :
( ~ r2_wellord2(X0,X1)
| k1_card_1(X0) = k1_card_1(X1) ),
inference(cnf_transformation,[],[f9977]) ).
fof(f12781,plain,
! [X0,X1] :
( k1_card_1(X0) != k1_card_1(X1)
| r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f9977]) ).
fof(f12782,plain,
! [X0,X1] :
( ~ v1_card_1(X1)
| k1_card_1(X0) != X1
| r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f9978]) ).
fof(f12783,plain,
! [X0,X1] :
( ~ v1_card_1(X1)
| ~ r2_wellord2(X0,X1)
| k1_card_1(X0) = X1 ),
inference(cnf_transformation,[],[f9978]) ).
fof(f12785,plain,
! [X0,X1] :
( ~ v1_card_1(X0)
| ~ v1_card_1(X1)
| ~ r2_wellord2(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9979]) ).
fof(f12786,plain,
! [X0] : r2_wellord2(X0,sK387(X0)),
inference(cnf_transformation,[],[f9980]) ).
fof(f12787,plain,
! [X0] : v3_ordinal1(sK387(X0)),
inference(cnf_transformation,[],[f9980]) ).
fof(f12788,plain,
! [X0,X4] :
( ~ v1_card_1(X0)
| ~ v3_ordinal1(X4)
| ~ r2_wellord2(X4,sK389(X0))
| r1_ordinal1(sK389(X0),X4) ),
inference(cnf_transformation,[],[f9983]) ).
fof(f12789,plain,
! [X0] :
( ~ v1_card_1(X0)
| sK389(X0) = X0 ),
inference(cnf_transformation,[],[f9983]) ).
fof(f12790,plain,
! [X0] :
( ~ v1_card_1(X0)
| v3_ordinal1(sK389(X0)) ),
inference(cnf_transformation,[],[f9983]) ).
fof(f12791,plain,
! [X0,X1] :
( v3_ordinal1(sK388(X1))
| X0 != X1
| ~ v3_ordinal1(X1)
| v1_card_1(X0) ),
inference(cnf_transformation,[],[f9983]) ).
fof(f12792,plain,
! [X0,X1] :
( r2_wellord2(sK388(X1),X1)
| X0 != X1
| ~ v3_ordinal1(X1)
| v1_card_1(X0) ),
inference(cnf_transformation,[],[f9983]) ).
fof(f12793,plain,
! [X0,X1] :
( ~ r1_ordinal1(X1,sK388(X1))
| X0 != X1
| ~ v3_ordinal1(X1)
| v1_card_1(X0) ),
inference(cnf_transformation,[],[f9983]) ).
fof(f12794,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,[],[f8110]) ).
fof(f12795,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,[],[f8110]) ).
fof(f12796,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,[],[f8112]) ).
fof(f12797,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,[],[f8114]) ).
fof(f12798,plain,
! [X2,X0,X1] :
( ~ sP20(X0,X1,X2)
| k9_rlvect_1(X2,X0) != X1
| sP19(X2,X1,X0) ),
inference(cnf_transformation,[],[f9985]) ).
fof(f12799,plain,
! [X2,X0,X1] :
( ~ sP20(X0,X1,X2)
| ~ sP19(X2,X1,X0)
| k9_rlvect_1(X2,X0) = X1 ),
inference(cnf_transformation,[],[f9985]) ).
fof(f12811,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))
| sP20(X1,X2,X0) ),
inference(cnf_transformation,[],[f9336]) ).
fof(f12812,plain,
! [X0,X1] :
( ~ sP23(X0,X1)
| ~ r2_qc_lang2(X1,X0)
| sP22(X1,X0) ),
inference(cnf_transformation,[],[f9990]) ).
fof(f12813,plain,
! [X0,X1] :
( ~ sP23(X0,X1)
| ~ sP22(X1,X0)
| r2_qc_lang2(X1,X0) ),
inference(cnf_transformation,[],[f9990]) ).
fof(f12814,plain,
! [X0,X1] :
( ~ sP22(X0,X1)
| sP21(sK393(X0,X1),sK394(X0,X1)) ),
inference(cnf_transformation,[],[f9993]) ).
fof(f12815,plain,
! [X0,X1] :
( ~ sP22(X0,X1)
| k1_funct_1(sK394(X0,X1),sK393(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f9993]) ).
fof(f12816,plain,
! [X0,X1] :
( ~ sP22(X0,X1)
| k1_funct_1(sK394(X0,X1),np__1) = X0 ),
inference(cnf_transformation,[],[f9993]) ).
fof(f12817,plain,
! [X0,X1] :
( ~ sP22(X0,X1)
| sK393(X0,X1) = k3_finseq_1(sK394(X0,X1)) ),
inference(cnf_transformation,[],[f9993]) ).
fof(f12818,plain,
! [X0,X1] :
( ~ sP22(X0,X1)
| r1_xreal_0(np__1,sK393(X0,X1)) ),
inference(cnf_transformation,[],[f9993]) ).
fof(f12819,plain,
! [X0,X1] :
( ~ sP22(X0,X1)
| v1_finseq_1(sK394(X0,X1)) ),
inference(cnf_transformation,[],[f9993]) ).
fof(f12820,plain,
! [X0,X1] :
( ~ sP22(X0,X1)
| v1_funct_1(sK394(X0,X1)) ),
inference(cnf_transformation,[],[f9993]) ).
fof(f12821,plain,
! [X0,X1] :
( ~ sP22(X0,X1)
| v1_relat_1(sK394(X0,X1)) ),
inference(cnf_transformation,[],[f9993]) ).
fof(f12822,plain,
! [X0,X1] :
( ~ sP22(X0,X1)
| m2_subset_1(sK393(X0,X1),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f9993]) ).
fof(f12823,plain,
! [X2,X3,X0,X1] :
( ~ sP21(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)
| sP22(X0,X1) ),
inference(cnf_transformation,[],[f9993]) ).
fof(f12833,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| sP23(X1,X0) ),
inference(cnf_transformation,[],[f9340]) ).
fof(f12834,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,[],[f8120]) ).
fof(f12835,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,[],[f8122]) ).
fof(f12836,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,[],[f8124]) ).
fof(f12837,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(sK398(X0,X1,X2),k1_numbers,k5_numbers)
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f9997]) ).
fof(f12838,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),sK398(X0,X1,X2)),k4_finseq_1(k7_finseq_1(X2,X1)))
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f9997]) ).
fof(f12839,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)
| sK398(X0,X1,X2) = X0
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f9997]) ).
fof(f12840,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(sK399(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,[],[f9998]) ).
fof(f12841,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),sK399(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,[],[f9998]) ).
fof(f12842,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(sK399(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,[],[f9998]) ).
fof(f12843,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,[],[f8130]) ).
fof(f12844,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,[],[f8132]) ).
fof(f12845,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| k1_ordinal1(X0) = k1_nat_1(X0,np__1) ),
inference(cnf_transformation,[],[f8133]) ).
fof(f12846,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,[],[f8135]) ).
fof(f12847,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,[],[f8135]) ).
fof(f12848,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,[],[f8135]) ).
fof(f12849,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,[],[f8137]) ).
fof(f12850,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(sK400(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,[],[f9999]) ).
fof(f12851,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(sK400(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,[],[f9999]) ).
fof(f12852,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(sK400(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,[],[f9999]) ).
fof(f12853,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,sK400(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,[],[f9999]) ).
fof(f12854,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,[],[f8141]) ).
fof(f12855,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,[],[f8141]) ).
fof(f12856,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,[],[f8143]) ).
fof(f12857,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,[],[f8143]) ).
fof(f12858,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,[],[f8145]) ).
fof(f12859,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,[],[f8145]) ).
fof(f12860,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,[],[f8147]) ).
fof(f12861,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,[],[f8147]) ).
fof(f12862,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,[],[f8149]) ).
fof(f12863,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,[],[f8151]) ).
fof(f12864,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,[],[f8153]) ).
fof(f12865,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,[],[f8155]) ).
fof(f12866,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,[],[f8157]) ).
fof(f12868,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,[],[f8159]) ).
fof(f12871,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,[],[f8159]) ).
fof(f12872,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,[],[f8161]) ).
fof(f12873,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,[],[f8161]) ).
fof(f12874,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,[],[f8161]) ).
fof(f12875,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,[],[f8161]) ).
fof(f12876,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,[],[f8161]) ).
fof(f12877,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(sK401(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,[],[f10000]) ).
fof(f12878,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(sK402(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,[],[f10000]) ).
fof(f12879,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))
| sK402(X0,X1,X2) = k1_funct_1(X2,sK401(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,[],[f10000]) ).
fof(f12880,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(sK401(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,[],[f10000]) ).
fof(f12881,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,sK401(X0,X1,X2)) != k5_rlvect_1(X0,sK402(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,[],[f10000]) ).
fof(f12882,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_rfinseq(X0,X1)
| k4_finseq_1(X1) = k4_finseq_1(X0) ),
inference(cnf_transformation,[],[f8165]) ).
fof(f12883,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_rfinseq(X0,X1)
| k3_finseq_1(X0) = k3_finseq_1(X1) ),
inference(cnf_transformation,[],[f8165]) ).
fof(f12884,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,[],[f8167]) ).
fof(f12885,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,[],[f8169]) ).
fof(f12887,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,[],[f10002]) ).
fof(f12888,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,[],[f10002]) ).
fof(f12889,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,[],[f8173]) ).
fof(f12890,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,[],[f8175]) ).
fof(f12891,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,[],[f10003]) ).
fof(f12892,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,[],[f10003]) ).
fof(f12893,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(sK403(X0,X1),k1_numbers,k5_numbers)
| k4_finseq_1(X1) != k4_finseq_1(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f10004]) ).
fof(f12894,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(sK403(X0,X1),k4_finseq_1(X0))
| k4_finseq_1(X1) != k4_finseq_1(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f10004]) ).
fof(f12895,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,sK403(X0,X1)) != k1_funct_1(X1,sK403(X0,X1))
| k4_finseq_1(X1) != k4_finseq_1(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f10004]) ).
fof(f12896,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| m2_subset_1(sK404(X0,X1),k1_numbers,k5_numbers)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10005]) ).
fof(f12897,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k4_tarski(sK404(X0,X1),k1_funct_1(X1,sK404(X0,X1))) = X0
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10005]) ).
fof(f12898,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r2_hidden(sK404(X0,X1),k4_finseq_1(X1))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10005]) ).
fof(f12899,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,[],[f8183]) ).
fof(f12900,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(sK405(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,[],[f10007]) ).
fof(f12901,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(sK406(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,[],[f10007]) ).
fof(f12902,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,sK405(X1,X2,X3,X4,X6),sK406(X1,X2,X3,X4,X6))) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,sK405(X1,X2,X3,X4,X6)),k8_funct_2(X1,X3,X6,sK406(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,[],[f10007]) ).
fof(f12903,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,[],[f8187]) ).
fof(f12904,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,[],[f8187]) ).
fof(f12905,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,[],[f10008]) ).
fof(f12906,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,[],[f10008]) ).
fof(f12907,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,[],[f8191]) ).
fof(f12908,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,[],[f10010]) ).
fof(f12909,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,[],[f10010]) ).
fof(f12910,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,[],[f8195]) ).
fof(f12911,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,[],[f8197]) ).
fof(f12912,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK407(X0,X1),u1_struct_0(X0))
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f10011]) ).
fof(f12913,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK407(X0,X1) != k3_lattices(X0,X1,sK407(X0,X1))
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f10011]) ).
fof(f12914,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,[],[f10012]) ).
fof(f12915,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,[],[f10012]) ).
fof(f12916,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8203]) ).
fof(f12917,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,[],[f10013]) ).
fof(f12918,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,[],[f10013]) ).
fof(f12919,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,[],[f8207]) ).
fof(f12920,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,[],[f8209]) ).
fof(f12921,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,[],[f8211]) ).
fof(f12922,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,[],[f8213]) ).
fof(f12923,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,[],[f8215]) ).
fof(f12924,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,[],[f8217]) ).
fof(f12925,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP26(X0,X1,X2,X3,X4,X5)
| k7_setwiseo(X4,X5,X1,X2,X0) != X3
| sP25(X5,X4,X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f10015]) ).
fof(f12926,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP26(X0,X1,X2,X3,X4,X5)
| ~ sP25(X5,X4,X3,X2,X1,X0)
| k7_setwiseo(X4,X5,X1,X2,X0) = X3 ),
inference(cnf_transformation,[],[f10015]) ).
fof(f12927,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP25(X0,X1,X2,X3,X4,X5)
| sP24(X5,X0,X1,sK410(X0,X1,X2,X3,X4,X5),X4,X3) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f12928,plain,
! [X2,X3,X0,X11,X1,X4,X5] :
( ~ sP25(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,sK410(X0,X1,X2,X3,X4,X5),k2_setwiseo(X1,X11)) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f12929,plain,
! [X2,X3,X10,X0,X1,X4,X5] :
( ~ sP25(X0,X1,X2,X3,X4,X5)
| ~ m1_subset_1(X10,X0)
| ~ r3_binop_1(X0,X10,X4)
| k1_funct_1(sK410(X0,X1,X2,X3,X4,X5),k1_xboole_0) = X10 ),
inference(cnf_transformation,[],[f10018]) ).
fof(f12930,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP25(X0,X1,X2,X3,X4,X5)
| k8_funct_2(k5_finsub_1(X1),X0,sK410(X0,X1,X2,X3,X4,X5),X3) = X2 ),
inference(cnf_transformation,[],[f10018]) ).
fof(f12931,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP25(X0,X1,X2,X3,X4,X5)
| m2_relset_1(sK410(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f12932,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP25(X0,X1,X2,X3,X4,X5)
| v1_funct_2(sK410(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f12933,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP25(X0,X1,X2,X3,X4,X5)
| v1_funct_1(sK410(X0,X1,X2,X3,X4,X5)) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f12934,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP24(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK409(X0,X1,X5,X6),X1)
| m1_subset_1(sK408(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)
| sP25(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f12935,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP24(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK409(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK409(X0,X1,X5,X6)))
| m1_subset_1(sK408(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)
| sP25(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f12936,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP24(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK409(X0,X1,X5,X6),X1)
| r3_binop_1(X0,sK408(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)
| sP25(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f12937,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP24(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK409(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK409(X0,X1,X5,X6)))
| r3_binop_1(X0,sK408(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)
| sP25(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f12938,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP24(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK409(X0,X1,X5,X6),X1)
| k1_funct_1(X6,k1_xboole_0) != sK408(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)
| sP25(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f12939,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP24(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK409(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK409(X0,X1,X5,X6)))
| k1_funct_1(X6,k1_xboole_0) != sK408(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)
| sP25(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f12947,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)
| sP26(X4,X2,X3,X5,X0,X1)
| ~ v1_setwiseo(X2,X1) ),
inference(cnf_transformation,[],[f9344]) ).
fof(f12948,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)
| sP26(X4,X2,X3,X5,X0,X1)
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f9344]) ).
fof(f12949,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,sK413(X0,X1),X1) ),
inference(cnf_transformation,[],[f10024]) ).
fof(f12950,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(sK413(X0,X1),X0) ),
inference(cnf_transformation,[],[f10024]) ).
fof(f12951,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,[],[f10024]) ).
fof(f12952,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,[],[f8223]) ).
fof(f12953,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,[],[f8223]) ).
fof(f12955,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,[],[f8223]) ).
fof(f12957,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8225]) ).
fof(f12958,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,[],[f8227]) ).
fof(f12959,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,[],[f8229]) ).
fof(f12960,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f8230]) ).
fof(f12961,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f8230]) ).
fof(f12962,plain,
l2_lattices(sK414),
inference(cnf_transformation,[],[f10025]) ).
fof(f12963,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f8231]) ).
fof(f12971,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,[],[f8235]) ).
fof(f12973,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f8237]) ).
fof(f12974,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f8237]) ).
fof(f12975,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f8237]) ).
fof(f12976,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f8237]) ).
fof(f12977,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v5_lattices(X0) ),
inference(cnf_transformation,[],[f8237]) ).
fof(f12978,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v4_lattices(X0) ),
inference(cnf_transformation,[],[f8237]) ).
fof(f12980,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(sK415(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,[],[f10029]) ).
fof(f12981,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(sK416(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,[],[f10029]) ).
fof(f12982,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,sK415(X1,X2,X3,X4,X6),sK416(X1,X2,X3,X4,X6))) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,sK415(X1,X2,X3,X4,X6)),k8_funct_2(X1,X3,X6,sK416(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,[],[f10029]) ).
fof(f12983,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,[],[f8241]) ).
fof(f12984,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,[],[f8243]) ).
fof(f12985,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(sK417(X0,X1,X3,X4,X5),X1)
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f10030]) ).
fof(f12986,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(sK417(X0,X1,X3,X4,X5),X3)
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f10030]) ).
fof(f12987,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,sK417(X0,X1,X3,X4,X5)) != X5
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f10030]) ).
fof(f12988,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,[],[f8247]) ).
fof(f12989,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,[],[f8249]) ).
fof(f12990,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,[],[f8251]) ).
fof(f12991,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,[],[f8253]) ).
fof(f12992,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,[],[f10033]) ).
fof(f12993,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(sK418(X0,X1),X0)
| v3_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f10033]) ).
fof(f12994,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)
| sK418(X0,X1) != k2_binop_1(X0,X0,X0,X1,sK418(X0,X1),sK418(X0,X1))
| v3_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f10033]) ).
fof(f12995,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,[],[f10036]) ).
fof(f12996,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(sK419(X0,X1),X0)
| v3_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f10036]) ).
fof(f12997,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)
| sK419(X0,X1) != k1_binop_1(X1,sK419(X0,X1),sK419(X0,X1))
| v3_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f10036]) ).
fof(f12998,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,[],[f8259]) ).
fof(f12999,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK420(X0,X1),u1_struct_0(X0))
| k6_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f10037]) ).
fof(f13000,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK420(X0,X1) != k4_lattices(X0,X1,sK420(X0,X1))
| k6_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f10037]) ).
fof(f13001,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,[],[f8263]) ).
fof(f13003,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,[],[f8267]) ).
fof(f13004,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,[],[f8269]) ).
fof(f13005,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,[],[f8271]) ).
fof(f13006,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,[],[f8273]) ).
fof(f13007,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,[],[f8275]) ).
fof(f13008,plain,
! [X0,X1] :
( ~ sP28(X0,X1)
| ~ sP27(X1,X0)
| l3_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f10040]) ).
fof(f13009,plain,
! [X0,X1] :
( ~ sP28(X0,X1)
| ~ sP27(X1,X0)
| v16_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f10040]) ).
fof(f13010,plain,
! [X0,X1] :
( ~ sP28(X0,X1)
| ~ sP27(X1,X0)
| v15_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f10040]) ).
fof(f13011,plain,
! [X0,X1] :
( ~ sP28(X0,X1)
| ~ sP27(X1,X0)
| v10_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f10040]) ).
fof(f13012,plain,
! [X0,X1] :
( ~ sP28(X0,X1)
| ~ sP27(X1,X0)
| ~ v3_struct_0(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f10040]) ).
fof(f13013,plain,
! [X0,X1] :
( ~ sP28(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))
| sP27(X1,X0) ),
inference(cnf_transformation,[],[f10040]) ).
fof(f13025,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sP28(X1,X0) ),
inference(cnf_transformation,[],[f9347]) ).
fof(f13037,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| sP29(X0) ),
inference(cnf_transformation,[],[f9349]) ).
fof(f13045,plain,
v17_lattices(sK421),
inference(cnf_transformation,[],[f10048]) ).
fof(f13046,plain,
v16_lattices(sK421),
inference(cnf_transformation,[],[f10048]) ).
fof(f13047,plain,
v15_lattices(sK421),
inference(cnf_transformation,[],[f10048]) ).
fof(f13048,plain,
v14_lattices(sK421),
inference(cnf_transformation,[],[f10048]) ).
fof(f13049,plain,
v13_lattices(sK421),
inference(cnf_transformation,[],[f10048]) ).
fof(f13050,plain,
v11_lattices(sK421),
inference(cnf_transformation,[],[f10048]) ).
fof(f13051,plain,
v10_lattices(sK421),
inference(cnf_transformation,[],[f10048]) ).
fof(f13052,plain,
v9_lattices(sK421),
inference(cnf_transformation,[],[f10048]) ).
fof(f13053,plain,
v8_lattices(sK421),
inference(cnf_transformation,[],[f10048]) ).
fof(f13054,plain,
v7_lattices(sK421),
inference(cnf_transformation,[],[f10048]) ).
fof(f13055,plain,
v6_lattices(sK421),
inference(cnf_transformation,[],[f10048]) ).
fof(f13056,plain,
v5_lattices(sK421),
inference(cnf_transformation,[],[f10048]) ).
fof(f13057,plain,
v4_lattices(sK421),
inference(cnf_transformation,[],[f10048]) ).
fof(f13058,plain,
v3_lattices(sK421),
inference(cnf_transformation,[],[f10048]) ).
fof(f13059,plain,
~ v3_struct_0(sK421),
inference(cnf_transformation,[],[f10048]) ).
fof(f13060,plain,
l3_lattices(sK421),
inference(cnf_transformation,[],[f10048]) ).
fof(f13061,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| v17_lattices(X0) ),
inference(cnf_transformation,[],[f8285]) ).
fof(f13063,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v16_lattices(X0) ),
inference(cnf_transformation,[],[f8287]) ).
fof(f13064,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f8287]) ).
fof(f13065,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v14_lattices(X0) ),
inference(cnf_transformation,[],[f8287]) ).
fof(f13066,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v13_lattices(X0) ),
inference(cnf_transformation,[],[f8287]) ).
fof(f13067,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f8287]) ).
fof(f13069,plain,
v16_lattices(sK422),
inference(cnf_transformation,[],[f10049]) ).
fof(f13070,plain,
v15_lattices(sK422),
inference(cnf_transformation,[],[f10049]) ).
fof(f13071,plain,
v14_lattices(sK422),
inference(cnf_transformation,[],[f10049]) ).
fof(f13072,plain,
v13_lattices(sK422),
inference(cnf_transformation,[],[f10049]) ).
fof(f13073,plain,
v10_lattices(sK422),
inference(cnf_transformation,[],[f10049]) ).
fof(f13074,plain,
v9_lattices(sK422),
inference(cnf_transformation,[],[f10049]) ).
fof(f13075,plain,
v8_lattices(sK422),
inference(cnf_transformation,[],[f10049]) ).
fof(f13076,plain,
v7_lattices(sK422),
inference(cnf_transformation,[],[f10049]) ).
fof(f13077,plain,
v6_lattices(sK422),
inference(cnf_transformation,[],[f10049]) ).
fof(f13078,plain,
v5_lattices(sK422),
inference(cnf_transformation,[],[f10049]) ).
fof(f13079,plain,
v4_lattices(sK422),
inference(cnf_transformation,[],[f10049]) ).
fof(f13080,plain,
v3_lattices(sK422),
inference(cnf_transformation,[],[f10049]) ).
fof(f13081,plain,
~ v3_struct_0(sK422),
inference(cnf_transformation,[],[f10049]) ).
fof(f13082,plain,
l3_lattices(sK422),
inference(cnf_transformation,[],[f10049]) ).
fof(f13083,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| v14_lattices(X0) ),
inference(cnf_transformation,[],[f8289]) ).
fof(f13084,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| v13_lattices(X0) ),
inference(cnf_transformation,[],[f8289]) ).
fof(f13086,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f8291]) ).
fof(f13088,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(sK423(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,[],[f10050]) ).
fof(f13089,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(sK423(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,[],[f10050]) ).
fof(f13090,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,sK423(X0,X1,X2,X3,X4,X5)) != k4_lattices(X2,X5,k8_funct_2(X0,u1_struct_0(X2),X4,sK423(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,[],[f10050]) ).
fof(f13091,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f8295]) ).
fof(f13092,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,[],[f8297]) ).
fof(f13093,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,[],[f8299]) ).
fof(f13094,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,[],[f8301]) ).
fof(f13095,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK424(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f10051]) ).
fof(f13096,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK425(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f10051]) ).
fof(f13097,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK426(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f10051]) ).
fof(f13098,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k3_lattices(X0,k3_lattices(X0,k4_lattices(X0,sK424(X0),sK425(X0)),k4_lattices(X0,sK425(X0),sK426(X0))),k4_lattices(X0,sK426(X0),sK424(X0))) != k4_lattices(X0,k4_lattices(X0,k3_lattices(X0,sK424(X0),sK425(X0)),k3_lattices(X0,sK425(X0),sK426(X0))),k3_lattices(X0,sK426(X0),sK424(X0)))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f10051]) ).
fof(f13099,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,[],[f8305]) ).
fof(f13100,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,[],[f8307]) ).
fof(f13102,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,[],[f8311]) ).
fof(f13103,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,[],[f8311]) ).
fof(f13106,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f8311]) ).
fof(f13107,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,[],[f8313]) ).
fof(f13108,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,[],[f8313]) ).
fof(f13110,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,[],[f8315]) ).
fof(f13113,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,[],[f8317]) ).
fof(f13115,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,[],[f8319]) ).
fof(f13116,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,[],[f8319]) ).
fof(f13117,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,[],[f8321]) ).
fof(f13118,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,[],[f8323]) ).
fof(f13119,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,[],[f8325]) ).
fof(f13120,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,[],[f8327]) ).
fof(f13121,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,[],[f10053]) ).
fof(f13122,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,[],[f10053]) ).
fof(f13123,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,[],[f10053]) ).
fof(f13132,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,[],[f10060]) ).
fof(f13133,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
| sP30(X0,X1,X2) ),
inference(cnf_transformation,[],[f10060]) ).
fof(f13134,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(sK438(X0,X1,X2),sK439(X0,X1,X2)),k1_relat_1(X1))
| ~ sP30(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10060]) ).
fof(f13135,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(sK436(X0,X1,X2),sK437(X0,X1,X2)),k1_relat_1(X0))
| ~ sP30(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10060]) ).
fof(f13136,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(sK436(X0,X1,X2),sK438(X0,X1,X2)),k4_tarski(sK437(X0,X1,X2),sK439(X0,X1,X2)))) != k4_tarski(k1_funct_1(X0,k4_tarski(sK436(X0,X1,X2),sK437(X0,X1,X2))),k1_funct_1(X1,k4_tarski(sK438(X0,X1,X2),sK439(X0,X1,X2))))
| ~ sP30(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10060]) ).
fof(f13138,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,[],[f8335]) ).
fof(f13139,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,[],[f8337]) ).
fof(f13141,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,[],[f8341]) ).
fof(f13143,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,[],[f8345]) ).
fof(f13144,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,[],[f10063]) ).
fof(f13145,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(sK440(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10063]) ).
fof(f13146,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(sK441(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10063]) ).
fof(f13147,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(sK442(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10063]) ).
fof(f13148,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,sK440(X0,X1,X2),sK441(X0,X1,X2)),sK442(X0,X1,X2)) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK440(X0,X1,X2),sK442(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK441(X0,X1,X2),sK442(X0,X1,X2)))
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10063]) ).
fof(f13149,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,[],[f10066]) ).
fof(f13150,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(sK443(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10066]) ).
fof(f13151,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(sK444(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10066]) ).
fof(f13152,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(sK445(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10066]) ).
fof(f13153,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,sK443(X0,X1,X2),k2_binop_1(X0,X0,X0,X1,sK444(X0,X1,X2),sK445(X0,X1,X2))) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK443(X0,X1,X2),sK444(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK443(X0,X1,X2),sK445(X0,X1,X2)))
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10066]) ).
fof(f13154,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,[],[f10069]) ).
fof(f13155,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,[],[f10069]) ).
fof(f13156,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(sK446(X0,X1,X2),X0)
| r6_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10069]) ).
fof(f13157,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(sK447(X0,X1,X2),X0)
| r6_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10069]) ).
fof(f13158,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(sK448(X0,X1,X2),X0)
| r6_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10069]) ).
fof(f13159,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,sK446(X0,X1,X2),sK447(X0,X1,X2)),sK448(X0,X1,X2)) != k1_binop_1(X2,k1_binop_1(X1,sK446(X0,X1,X2),sK448(X0,X1,X2)),k1_binop_1(X1,sK447(X0,X1,X2),sK448(X0,X1,X2)))
| k1_binop_1(X1,sK446(X0,X1,X2),k1_binop_1(X2,sK447(X0,X1,X2),sK448(X0,X1,X2))) != k1_binop_1(X2,k1_binop_1(X1,sK446(X0,X1,X2),sK447(X0,X1,X2)),k1_binop_1(X1,sK446(X0,X1,X2),sK448(X0,X1,X2)))
| r6_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10069]) ).
fof(f13160,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,[],[f8353]) ).
fof(f13161,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,[],[f8355]) ).
fof(f13162,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,[],[f8357]) ).
fof(f13164,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(sK449(X0,X1,X2),X0)
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10072]) ).
fof(f13165,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)
| sK449(X0,X1,X2) != k1_binop_1(X1,sK449(X0,X1,X2),X2)
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10072]) ).
fof(f13167,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(sK450(X0,X1,X2),X0)
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10075]) ).
fof(f13168,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)
| sK450(X0,X1,X2) != k1_binop_1(X1,X2,sK450(X0,X1,X2))
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10075]) ).
fof(f13169,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,[],[f10078]) ).
fof(f13170,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,[],[f10078]) ).
fof(f13171,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(sK451(X0,X1,X2),X0)
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10078]) ).
fof(f13172,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)
| sK451(X0,X1,X2) != k1_binop_1(X1,sK451(X0,X1,X2),X2)
| sK451(X0,X1,X2) != k1_binop_1(X1,X2,sK451(X0,X1,X2))
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10078]) ).
fof(f13173,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,[],[f10081]) ).
fof(f13174,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(sK452(X0,X1,X2),X0)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f10081]) ).
fof(f13175,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(sK453(X0,X1,X2),X0)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f10081]) ).
fof(f13176,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(sK454(X0,X1,X2),X0)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f10081]) ).
fof(f13177,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(sK455(X0,X1,X2),X0)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f10081]) ).
fof(f13178,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,sK454(X0,X1,X2),sK455(X0,X1,X2)),X1)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f10081]) ).
fof(f13179,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,sK452(X0,X1,X2),sK453(X0,X1,X2)),X1)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f10081]) ).
fof(f13180,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,sK452(X0,X1,X2),sK454(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK453(X0,X1,X2),sK455(X0,X1,X2))),X1)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f10081]) ).
fof(f13181,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,[],[f8367]) ).
fof(f13182,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,[],[f8369]) ).
fof(f13183,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,[],[f8371]) ).
fof(f13184,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k6_relat_1(X0) = k7_relat_1(k6_relat_1(X1),X0) ),
inference(cnf_transformation,[],[f8372]) ).
fof(f13185,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relat_1(X2,k6_relat_1(X1)) = X2 ),
inference(cnf_transformation,[],[f8373]) ).
fof(f13186,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relat_1(k6_relat_1(X0),X2) = X2 ),
inference(cnf_transformation,[],[f8374]) ).
fof(f13187,plain,
! [X0] :
( v1_xboole_0(X0)
| k1_xboole_0 != k6_relat_1(X0) ),
inference(cnf_transformation,[],[f8375]) ).
fof(f13188,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| k5_relat_1(k6_relat_1(X0),X1) = X1 ),
inference(cnf_transformation,[],[f8376]) ).
fof(f13189,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| k5_relat_1(X1,k6_relat_1(X0)) = X1 ),
inference(cnf_transformation,[],[f8376]) ).
fof(f13191,plain,
! [X0] : r1_tarski(k6_relat_1(X0),k2_zfmisc_1(X0,X0)),
inference(cnf_transformation,[],[f1286]) ).
fof(f13192,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k9_relat_1(k6_relat_1(X0),X1) = X1 ),
inference(cnf_transformation,[],[f8377]) ).
fof(f13193,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,[],[f8379]) ).
fof(f13194,plain,
! [X0] : v2_funct_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f986]) ).
fof(f13195,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,[],[f8381]) ).
fof(f13196,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,[],[f8383]) ).
fof(f13197,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(f13200,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,[],[f10083]) ).
fof(f13201,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,[],[f10083]) ).
fof(f13202,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,[],[f10083]) ).
fof(f13203,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,[],[f8389]) ).
fof(f13204,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,[],[f8391]) ).
fof(f13205,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| k1_funct_1(k6_relat_1(X0),X1) = X1 ),
inference(cnf_transformation,[],[f8392]) ).
fof(f13208,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r2_hidden(sK456(X0,X1),X0)
| k1_relat_1(X1) != X0
| k6_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f10087]) ).
fof(f13209,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| sK456(X0,X1) != k1_funct_1(X1,sK456(X0,X1))
| k1_relat_1(X1) != X0
| k6_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f10087]) ).
fof(f13210,plain,
! [X0] : v1_funct_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f917]) ).
fof(f13211,plain,
! [X0] : v1_relat_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f917]) ).
fof(f13212,plain,
! [X0] : v1_relat_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f909]) ).
fof(f13213,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k5_relat_1(X1,k6_relat_1(X0)) = k8_relat_1(X0,X1) ),
inference(cnf_transformation,[],[f8395]) ).
fof(f13214,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k5_relat_1(k6_relat_1(X0),X1) = k7_relat_1(X1,X0) ),
inference(cnf_transformation,[],[f8396]) ).
fof(f13215,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,[],[f8398]) ).
fof(f13216,plain,
k1_xboole_0 = k6_relat_1(k1_xboole_0),
inference(cnf_transformation,[],[f787]) ).
fof(f13217,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k5_relat_1(X0,k6_relat_1(k2_relat_1(X0))) = X0 ),
inference(cnf_transformation,[],[f8399]) ).
fof(f13218,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,[],[f8401]) ).
fof(f13219,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k5_relat_1(k6_relat_1(k1_relat_1(X0)),X0) = X0 ),
inference(cnf_transformation,[],[f8402]) ).
fof(f13220,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,[],[f8404]) ).
fof(f13221,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k5_relat_1(k6_relat_1(X0),X1),X1) ),
inference(cnf_transformation,[],[f8405]) ).
fof(f13222,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k5_relat_1(X1,k6_relat_1(X0)),X1) ),
inference(cnf_transformation,[],[f8405]) ).
fof(f13223,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,[],[f10089]) ).
fof(f13224,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,[],[f10089]) ).
fof(f13225,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,[],[f10089]) ).
fof(f13226,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,[],[f10091]) ).
fof(f13227,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,[],[f10091]) ).
fof(f13228,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,[],[f10091]) ).
fof(f13229,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK457(X0,X1),X0)
| r1_tarski(k6_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f10092]) ).
fof(f13230,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r2_hidden(k4_tarski(sK457(X0,X1),sK457(X0,X1)),X1)
| r1_tarski(k6_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f10092]) ).
fof(f13231,plain,
! [X0] : k2_relat_1(k6_relat_1(X0)) = X0,
inference(cnf_transformation,[],[f777]) ).
fof(f13232,plain,
! [X0] : k1_relat_1(k6_relat_1(X0)) = X0,
inference(cnf_transformation,[],[f777]) ).
fof(f13233,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,[],[f10096]) ).
fof(f13234,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,[],[f10096]) ).
fof(f13235,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,[],[f10096]) ).
fof(f13236,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(k4_tarski(sK458(X0,X1),sK459(X0,X1)),X1)
| sK458(X0,X1) = sK459(X0,X1)
| k6_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f10096]) ).
fof(f13237,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(k4_tarski(sK458(X0,X1),sK459(X0,X1)),X1)
| r2_hidden(sK458(X0,X1),X0)
| k6_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f10096]) ).
fof(f13238,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r2_hidden(k4_tarski(sK458(X0,X1),sK459(X0,X1)),X1)
| sK458(X0,X1) != sK459(X0,X1)
| ~ r2_hidden(sK458(X0,X1),X0)
| k6_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f10096]) ).
fof(f13244,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,[],[f10098]) ).
fof(f13247,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| r1_tarski(k3_relat_1(X2),k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8412]) ).
fof(f13248,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_relat_2(X0)
| r1_tarski(k6_relat_1(k3_relat_1(X0)),X0) ),
inference(cnf_transformation,[],[f10099]) ).
fof(f13249,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ r1_tarski(k6_relat_1(k3_relat_1(X0)),X0)
| v1_relat_2(X0) ),
inference(cnf_transformation,[],[f10099]) ).
fof(f13250,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k3_relat_1(X0) = k3_relat_1(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f8414]) ).
fof(f13251,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,[],[f8415]) ).
fof(f13252,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,[],[f8416]) ).
fof(f13253,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,[],[f8418]) ).
fof(f13254,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,[],[f8420]) ).
fof(f13255,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,[],[f8422]) ).
fof(f13256,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,[],[f8422]) ).
fof(f13257,plain,
! [X0] :
( ~ v1_relat_1(X0)
| r1_tarski(k2_relat_1(X0),k3_relat_1(X0)) ),
inference(cnf_transformation,[],[f8423]) ).
fof(f13258,plain,
! [X0] :
( ~ v1_relat_1(X0)
| r1_tarski(k1_relat_1(X0),k3_relat_1(X0)) ),
inference(cnf_transformation,[],[f8423]) ).
fof(f13259,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k3_relat_1(X0) = k2_xboole_0(k1_relat_1(X0),k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f8424]) ).
fof(f13260,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,[],[f8426]) ).
fof(f13261,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,[],[f8426]) ).
fof(f13262,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,[],[f8428]) ).
fof(f13263,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,[],[f8430]) ).
fof(f13264,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,[],[f8432]) ).
fof(f13265,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,[],[f8432]) ).
fof(f13266,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,[],[f8432]) ).
fof(f13267,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,[],[f8432]) ).
fof(f13268,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,[],[f8434]) ).
fof(f13269,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,[],[f8436]) ).
fof(f13270,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,[],[f8438]) ).
fof(f13271,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,[],[f8440]) ).
fof(f13272,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,[],[f8442]) ).
fof(f13273,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_xboole_0(X0)
| m2_filter_1(sK460(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f10100]) ).
fof(f13274,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,[],[f8446]) ).
fof(f13275,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,[],[f8446]) ).
fof(f13276,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,[],[f8446]) ).
fof(f13277,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,[],[f8448]) ).
fof(f13278,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,[],[f8450]) ).
fof(f13279,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,[],[f8452]) ).
fof(f13280,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,[],[f8454]) ).
fof(f13281,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,[],[f10103]) ).
fof(f13282,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK461(X0),u1_struct_0(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10103]) ).
fof(f13283,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK462(X0),u1_struct_0(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10103]) ).
fof(f13284,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| k1_binop_1(u1_rlvect_1(X0),sK461(X0),sK462(X0)) != k1_binop_1(u1_rlvect_1(X0),sK462(X0),sK461(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10103]) ).
fof(f13285,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,[],[f10106]) ).
fof(f13286,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK463(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10106]) ).
fof(f13287,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK464(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10106]) ).
fof(f13288,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK465(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10106]) ).
fof(f13289,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),sK463(X0),sK464(X0)),sK465(X0)) != k1_binop_1(u1_rlvect_1(X0),sK463(X0),k1_binop_1(u1_rlvect_1(X0),sK464(X0),sK465(X0)))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10106]) ).
fof(f13290,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,[],[f8460]) ).
fof(f13291,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,[],[f10109]) ).
fof(f13292,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(sK466(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f10109]) ).
fof(f13293,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(sK467(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f10109]) ).
fof(f13294,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(sK468(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f10109]) ).
fof(f13295,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,sK466(X0,X1),k1_binop_1(X1,sK467(X0,X1),sK468(X0,X1))) != k1_binop_1(X1,k1_binop_1(X1,sK466(X0,X1),sK467(X0,X1)),sK468(X0,X1))
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f10109]) ).
fof(f13296,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,[],[f10112]) ).
fof(f13297,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(sK469(X0,X1),X0)
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f10112]) ).
fof(f13298,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(sK470(X0,X1),X0)
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f10112]) ).
fof(f13299,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,sK469(X0,X1),sK470(X0,X1)) != k1_binop_1(X1,sK470(X0,X1),sK469(X0,X1))
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f10112]) ).
fof(f13300,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,[],[f8466]) ).
fof(f13301,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,[],[f8468]) ).
fof(f13302,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,[],[f10113]) ).
fof(f13303,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,[],[f10113]) ).
fof(f13304,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| k1_tarski(X1) = k6_eqrel_1(X0,k6_partfun1(X0),X1) ),
inference(cnf_transformation,[],[f8471]) ).
fof(f13305,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,[],[f8473]) ).
fof(f13306,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,[],[f10114]) ).
fof(f13307,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,[],[f10114]) ).
fof(f13308,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,[],[f8477]) ).
fof(f13309,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,sK471(X0,X1,X2)))
| ~ r2_hidden(X2,X0) ),
inference(cnf_transformation,[],[f10115]) ).
fof(f13310,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,[],[f8481]) ).
fof(f13311,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,[],[f10116]) ).
fof(f13312,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,[],[f10116]) ).
fof(f13313,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,[],[f8485]) ).
fof(f13323,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| sP31(X0) ),
inference(cnf_transformation,[],[f9353]) ).
fof(f13333,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| sP32(X0) ),
inference(cnf_transformation,[],[f9355]) ).
fof(f13334,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ~ v6_group_1(X0)
| v1_finset_1(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10119]) ).
fof(f13335,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ~ v1_finset_1(u1_struct_0(X0))
| v6_group_1(X0) ),
inference(cnf_transformation,[],[f10119]) ).
fof(f13336,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,[],[f8492]) ).
fof(f13337,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,[],[f8494]) ).
fof(f13338,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(sK472(X0,X1,X2,X3,X4),X0)
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),k2_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f10120]) ).
fof(f13339,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(sK472(X0,X1,X2,X3,X4),X1)
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),k2_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f10120]) ).
fof(f13340,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,sK472(X0,X1,X2,X3,X4)),k8_funct_2(X0,u1_struct_0(X2),X4,sK472(X0,X1,X2,X3,X4)))
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),k2_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f10120]) ).
fof(f13341,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(sK473(X0,X1,X2,X3,X4),X0)
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),X4) ),
inference(cnf_transformation,[],[f10121]) ).
fof(f13342,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(sK473(X0,X1,X2,X3,X4),X1)
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),X4) ),
inference(cnf_transformation,[],[f10121]) ).
fof(f13343,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,sK473(X0,X1,X2,X3,X4)),X4)
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),X4) ),
inference(cnf_transformation,[],[f10121]) ).
fof(f13344,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,[],[f8500]) ).
fof(f13345,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,[],[f8502]) ).
fof(f13346,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(sK474(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,[],[f10122]) ).
fof(f13347,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(sK474(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,[],[f10122]) ).
fof(f13348,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,sK474(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK474(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,[],[f10122]) ).
fof(f13349,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(sK475(X0,X1,X2,X3,X4),X2)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f10123]) ).
fof(f13350,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(sK475(X0,X1,X2,X3,X4),X3)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f10123]) ).
fof(f13351,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,sK475(X0,X1,X2,X3,X4)),X1)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f10123]) ).
fof(f13352,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,[],[f8508]) ).
fof(f13353,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(sK476(X0,X1,X2,X3,X4),X2)
| k2_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f10124]) ).
fof(f13354,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(sK476(X0,X1,X2,X3,X4),X3)
| k2_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f10124]) ).
fof(f13355,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,sK476(X0,X1,X2,X3,X4)) != X1
| k2_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f10124]) ).
fof(f13356,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,[],[f8512]) ).
fof(f13357,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,[],[f8514]) ).
fof(f13358,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,[],[f8516]) ).
fof(f13359,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,[],[f8518]) ).
fof(f13360,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,[],[f8520]) ).
fof(f13361,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(sK477(X0,X1,X2,X3,X4),X0)
| r3_lattices(X2,k3_lattice2(X0,X2,X1,X3),k3_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f10125]) ).
fof(f13362,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(sK477(X0,X1,X2,X3,X4),X1)
| r3_lattices(X2,k3_lattice2(X0,X2,X1,X3),k3_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f10125]) ).
fof(f13363,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,sK477(X0,X1,X2,X3,X4)),k8_funct_2(X0,u1_struct_0(X2),X4,sK477(X0,X1,X2,X3,X4)))
| r3_lattices(X2,k3_lattice2(X0,X2,X1,X3),k3_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f10125]) ).
fof(f13364,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(sK478(X0,X1,X2,X3,X4),X0)
| r3_lattices(X2,X4,k3_lattice2(X0,X2,X1,X3)) ),
inference(cnf_transformation,[],[f10126]) ).
fof(f13365,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(sK478(X0,X1,X2,X3,X4),X1)
| r3_lattices(X2,X4,k3_lattice2(X0,X2,X1,X3)) ),
inference(cnf_transformation,[],[f10126]) ).
fof(f13366,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,sK478(X0,X1,X2,X3,X4)))
| r3_lattices(X2,X4,k3_lattice2(X0,X2,X1,X3)) ),
inference(cnf_transformation,[],[f10126]) ).
fof(f13367,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,[],[f8526]) ).
fof(f13368,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(sK479(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,[],[f10127]) ).
fof(f13369,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(sK479(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,[],[f10127]) ).
fof(f13370,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,sK479(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK479(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,[],[f10127]) ).
fof(f13371,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(sK480(X0,X1,X2,X3,X4),X2)
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f10128]) ).
fof(f13372,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(sK480(X0,X1,X2,X3,X4),X3)
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f10128]) ).
fof(f13373,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,sK480(X0,X1,X2,X3,X4)))
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f10128]) ).
fof(f13374,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,[],[f8532]) ).
fof(f13375,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,[],[f8534]) ).
fof(f13376,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(sK481(X0,X1,X2,X3,X4),X2)
| k3_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f10129]) ).
fof(f13377,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(sK481(X0,X1,X2,X3,X4),X3)
| k3_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f10129]) ).
fof(f13378,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,sK481(X0,X1,X2,X3,X4)) != X1
| k3_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f10129]) ).
fof(f13379,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,[],[f8538]) ).
fof(f13380,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,[],[f8540]) ).
fof(f13381,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,[],[f8542]) ).
fof(f13382,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ~ v3_realset2(X0)
| v1_realset1(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10130]) ).
fof(f13383,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ~ v1_realset1(u1_struct_0(X0))
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f10130]) ).
fof(f13384,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_realset1(X0)
| k1_tarski(X1) = k5_realset1(X0,X1) ),
inference(cnf_transformation,[],[f8545]) ).
fof(f13386,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(sK482(X0,X1),X0)
| v1_realset1(X1) ),
inference(cnf_transformation,[],[f10131]) ).
fof(f13387,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(sK483(X0,X1),X0)
| v1_realset1(X1) ),
inference(cnf_transformation,[],[f10131]) ).
fof(f13388,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| sK482(X0,X1) != sK483(X0,X1)
| v1_realset1(X1) ),
inference(cnf_transformation,[],[f10131]) ).
fof(f13389,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r2_hidden(sK483(X0,X1),X1)
| v1_realset1(X1) ),
inference(cnf_transformation,[],[f10131]) ).
fof(f13390,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r2_hidden(sK482(X0,X1),X1)
| v1_realset1(X1) ),
inference(cnf_transformation,[],[f10131]) ).
fof(f13391,plain,
! [X3,X0,X4] :
( ~ v1_realset1(X0)
| X3 = X4
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X0) ),
inference(cnf_transformation,[],[f10132]) ).
fof(f13392,plain,
! [X0] :
( sK484(X0) != sK485(X0)
| v1_realset1(X0) ),
inference(cnf_transformation,[],[f10132]) ).
fof(f13393,plain,
! [X0] :
( r2_hidden(sK485(X0),X0)
| v1_realset1(X0) ),
inference(cnf_transformation,[],[f10132]) ).
fof(f13394,plain,
! [X0] :
( r2_hidden(sK484(X0),X0)
| v1_realset1(X0) ),
inference(cnf_transformation,[],[f10132]) ).
fof(f13395,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK486(X0),X0)
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f10133]) ).
fof(f13396,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k1_tarski(sK486(X0))))
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f10133]) ).
fof(f13397,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_realset1(X0)
| m1_subset_1(sK487(X0),X0) ),
inference(cnf_transformation,[],[f10134]) ).
fof(f13398,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_realset1(X0)
| v1_xboole_0(k4_xboole_0(X0,k1_tarski(sK487(X0)))) ),
inference(cnf_transformation,[],[f10134]) ).
fof(f13399,plain,
! [X2,X0] :
( v1_xboole_0(X0)
| v1_realset1(X0)
| ~ v1_xboole_0(k4_xboole_0(X0,k1_tarski(X2))) ),
inference(cnf_transformation,[],[f10137]) ).
fof(f13400,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k1_tarski(sK488(X0))))
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f10137]) ).
fof(f13401,plain,
! [X0] :
( ~ v1_realset1(X0)
| k1_tarski(sK489(X0)) = X0
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10141]) ).
fof(f13404,plain,
! [X0] : v1_realset1(k1_tarski(X0)),
inference(cnf_transformation,[],[f4067]) ).
fof(f13407,plain,
! [X0] :
( v1_realset1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f8555]) ).
fof(f13408,plain,
~ v1_realset1(sK490),
inference(cnf_transformation,[],[f10142]) ).
fof(f13409,plain,
~ v1_xboole_0(sK490),
inference(cnf_transformation,[],[f10142]) ).
fof(f13410,plain,
v1_realset1(sK491),
inference(cnf_transformation,[],[f10143]) ).
fof(f13411,plain,
~ v1_xboole_0(sK491),
inference(cnf_transformation,[],[f10143]) ).
fof(f13412,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| m3_realset1(sK492(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f10144]) ).
fof(f13413,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,[],[f8557]) ).
fof(f13414,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,[],[f8557]) ).
fof(f13415,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m3_realset1(X2,X0,X1)
| v1_funct_1(X2) ),
inference(cnf_transformation,[],[f8557]) ).
fof(f13416,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,[],[f10147]) ).
fof(f13417,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(sK493(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,[],[f10147]) ).
fof(f13418,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,sK493(X0,X1,X2)),k4_xboole_0(X0,k1_tarski(X1)))
| m3_realset1(X2,X0,X1) ),
inference(cnf_transformation,[],[f10147]) ).
fof(f13419,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,[],[f8561]) ).
fof(f13420,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,[],[f8563]) ).
fof(f13421,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,[],[f8565]) ).
fof(f13422,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,[],[f8567]) ).
fof(f13423,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,[],[f8569]) ).
fof(f13424,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,[],[f8569]) ).
fof(f13425,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,[],[f8569]) ).
fof(f13426,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,[],[f10148]) ).
fof(f13427,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,[],[f10148]) ).
fof(f13429,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,[],[f8575]) ).
fof(f13430,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,[],[f8575]) ).
fof(f13433,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f8575]) ).
fof(f13434,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,[],[f8576]) ).
fof(f13435,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,[],[f8576]) ).
fof(f13436,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f8576]) ).
fof(f13437,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,[],[f8578]) ).
fof(f13438,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,[],[f8580]) ).
fof(f13439,plain,
l1_lattices(sK494),
inference(cnf_transformation,[],[f10149]) ).
fof(f13440,plain,
! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f8581]) ).
fof(f13441,plain,
! [X0] :
( ~ v1_membered(X0)
| r1_tarski(X0,k2_numbers) ),
inference(cnf_transformation,[],[f8582]) ).
fof(f13442,plain,
v1_membered(k2_numbers),
inference(cnf_transformation,[],[f3002]) ).
fof(f13444,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_numbers))
| v1_membered(X0) ),
inference(cnf_transformation,[],[f8583]) ).
fof(f13445,plain,
k2_numbers != k5_numbers,
inference(cnf_transformation,[],[f2668]) ).
fof(f13446,plain,
k2_numbers != k4_numbers,
inference(cnf_transformation,[],[f2664]) ).
fof(f13447,plain,
k2_numbers != k3_numbers,
inference(cnf_transformation,[],[f2661]) ).
fof(f13448,plain,
k1_numbers != k2_numbers,
inference(cnf_transformation,[],[f2659]) ).
fof(f13449,plain,
r1_tarski(k5_numbers,k2_numbers),
inference(cnf_transformation,[],[f2658]) ).
fof(f13450,plain,
r1_tarski(k4_numbers,k2_numbers),
inference(cnf_transformation,[],[f2654]) ).
fof(f13451,plain,
r1_tarski(k3_numbers,k2_numbers),
inference(cnf_transformation,[],[f2651]) ).
fof(f13452,plain,
r1_tarski(k1_numbers,k2_numbers),
inference(cnf_transformation,[],[f2649]) ).
fof(f13453,plain,
~ v1_xboole_0(k2_numbers),
inference(cnf_transformation,[],[f2633]) ).
fof(f13454,plain,
! [X2,X0,X1] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X2)
| r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f8585]) ).
fof(f13455,plain,
! [X0,X1] :
( ~ v1_classes2(X1)
| v1_xboole_0(X1)
| ~ r2_hidden(X0,X1)
| r2_hidden(k1_tarski(X0),X1) ),
inference(cnf_transformation,[],[f8587]) ).
fof(f13456,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| r2_hidden(k1_xboole_0,X0) ),
inference(cnf_transformation,[],[f8589]) ).
fof(f13457,plain,
! [X0,X1] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ~ v1_classes2(X1)
| v1_xboole_0(X1)
| v1_classes2(k3_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8591]) ).
fof(f13458,plain,
! [X0,X1] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ~ v1_classes2(X1)
| v1_xboole_0(X1)
| ~ v1_xboole_0(k3_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8591]) ).
fof(f13459,plain,
! [X0,X1] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ~ v1_classes2(X1)
| v1_xboole_0(X1)
| v1_classes2(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8591]) ).
fof(f13461,plain,
! [X2,X0,X1] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ~ v1_classes2(X1)
| v1_xboole_0(X1)
| ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f8593]) ).
fof(f13462,plain,
! [X0,X1] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ~ v1_classes2(X1)
| v1_xboole_0(X1)
| r2_hidden(X1,X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8595]) ).
fof(f13463,plain,
! [X0,X1] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ~ v1_classes2(X1)
| v1_xboole_0(X1)
| r2_hidden(X1,X0)
| X0 = X1
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f8597]) ).
fof(f13464,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(sK495(X0)) ),
inference(cnf_transformation,[],[f10150]) ).
fof(f13465,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| m1_subset_1(sK495(X0),X0) ),
inference(cnf_transformation,[],[f10150]) ).
fof(f13466,plain,
! [X0] :
( ~ v1_int_1(X0)
| r2_hidden(X0,k4_numbers) ),
inference(cnf_transformation,[],[f10151]) ).
fof(f13467,plain,
! [X0] :
( ~ r2_hidden(X0,k4_numbers)
| v1_int_1(X0) ),
inference(cnf_transformation,[],[f10151]) ).
fof(f13468,plain,
! [X0] :
( ~ m1_subset_1(X0,k4_numbers)
| v1_int_1(X0) ),
inference(cnf_transformation,[],[f8600]) ).
fof(f13469,plain,
k4_numbers != k5_numbers,
inference(cnf_transformation,[],[f2665]) ).
fof(f13470,plain,
k1_numbers != k4_numbers,
inference(cnf_transformation,[],[f2663]) ).
fof(f13471,plain,
k3_numbers != k4_numbers,
inference(cnf_transformation,[],[f2662]) ).
fof(f13472,plain,
r1_tarski(k5_numbers,k4_numbers),
inference(cnf_transformation,[],[f2655]) ).
fof(f13473,plain,
r1_tarski(k4_numbers,k1_numbers),
inference(cnf_transformation,[],[f2653]) ).
fof(f13474,plain,
r1_tarski(k4_numbers,k3_numbers),
inference(cnf_transformation,[],[f2652]) ).
fof(f13475,plain,
~ v1_xboole_0(k4_numbers),
inference(cnf_transformation,[],[f2635]) ).
fof(f13476,plain,
! [X2,X0,X1] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| r2_hidden(k5_xboole_0(X0,X1),X2) ),
inference(cnf_transformation,[],[f8602]) ).
fof(f13477,plain,
! [X2,X0,X1] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| r2_hidden(k4_xboole_0(X0,X1),X2) ),
inference(cnf_transformation,[],[f8602]) ).
fof(f13478,plain,
! [X2,X0,X1] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| r2_hidden(k3_xboole_0(X0,X1),X2) ),
inference(cnf_transformation,[],[f8602]) ).
fof(f13479,plain,
! [X2,X0,X1] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| r2_hidden(k2_xboole_0(X0,X1),X2) ),
inference(cnf_transformation,[],[f8602]) ).
fof(f13480,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ v2_membered(X0)
| v2_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8604]) ).
fof(f13481,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ v2_membered(X0)
| v1_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8604]) ).
fof(f13482,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ v1_membered(X0)
| v1_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8606]) ).
fof(f13483,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK496(X0),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f10152]) ).
fof(f13484,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK497(X0),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f10152]) ).
fof(f13485,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(k2_xboole_0(sK496(X0),sK497(X0)),X0)
| ~ r2_hidden(k5_xboole_0(sK496(X0),sK497(X0)),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f10152]) ).
fof(f13486,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK498(X0),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f10153]) ).
fof(f13487,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK499(X0),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f10153]) ).
fof(f13488,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(k3_xboole_0(sK498(X0),sK499(X0)),X0)
| ~ r2_hidden(k5_xboole_0(sK498(X0),sK499(X0)),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f10153]) ).
fof(f13489,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK500(X0),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f10154]) ).
fof(f13490,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK501(X0),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f10154]) ).
fof(f13491,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(k4_xboole_0(sK500(X0),sK501(X0)),X0)
| ~ r2_hidden(k5_xboole_0(sK500(X0),sK501(X0)),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f10154]) ).
fof(f13492,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,[],[f8614]) ).
fof(f13494,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8618]) ).
fof(f13495,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(f13496,plain,
! [X0,X1] :
( X0 = X1
| k2_tarski(X0,X1) = k5_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(cnf_transformation,[],[f8619]) ).
fof(f13497,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(f13498,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k5_xboole_0(X0,X2),X1) ),
inference(cnf_transformation,[],[f8621]) ).
fof(f13499,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k5_xboole_0(X1,X2))
| r1_xboole_0(X0,k3_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f10156]) ).
fof(f13500,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k5_xboole_0(X1,X2))
| r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f10156]) ).
fof(f13501,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,[],[f10156]) ).
fof(f13502,plain,
! [X0,X1] : r1_xboole_0(k3_xboole_0(X0,X1),k5_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f172]) ).
fof(f13503,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(f13504,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(f13505,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k5_xboole_0(X0,k3_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f169]) ).
fof(f13506,plain,
! [X2,X0,X1] : k4_xboole_0(k5_xboole_0(X0,X1),X2) = k2_xboole_0(k4_xboole_0(X0,k2_xboole_0(X1,X2)),k4_xboole_0(X1,k2_xboole_0(X0,X2))),
inference(cnf_transformation,[],[f168]) ).
fof(f13507,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k5_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f167]) ).
fof(f13508,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,[],[f8623]) ).
fof(f13509,plain,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),k5_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f165]) ).
fof(f13510,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(f13512,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(f13513,plain,
! [X0] : k1_xboole_0 = k5_xboole_0(X0,X0),
inference(cnf_transformation,[],[f161]) ).
fof(f13514,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(f13515,plain,
! [X0] : k5_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f66]) ).
fof(f13516,plain,
! [X0,X1] : k5_xboole_0(X0,X1) = k5_xboole_0(X1,X0),
inference(cnf_transformation,[],[f61]) ).
fof(f13517,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK502(X0,X1,X2),X0)
| ~ r2_hidden(sK502(X0,X1,X2),X1)
| r2_hidden(sK502(X0,X1,X2),X2)
| k5_xboole_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f10158]) ).
fof(f13518,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK502(X0,X1,X2),X0)
| ~ r2_hidden(sK502(X0,X1,X2),X2)
| r2_hidden(sK502(X0,X1,X2),X1)
| k5_xboole_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f10158]) ).
fof(f13519,plain,
! [X2,X0,X1] :
( r2_hidden(sK502(X0,X1,X2),X0)
| r2_hidden(sK502(X0,X1,X2),X1)
| r2_hidden(sK502(X0,X1,X2),X2)
| k5_xboole_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f10158]) ).
fof(f13520,plain,
! [X2,X0,X1] :
( r2_hidden(sK502(X0,X1,X2),X0)
| ~ r2_hidden(sK502(X0,X1,X2),X1)
| ~ r2_hidden(sK502(X0,X1,X2),X2)
| k5_xboole_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f10158]) ).
fof(f13521,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k5_xboole_0(X1,X2))
| r2_hidden(X0,X1)
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f10159]) ).
fof(f13522,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k5_xboole_0(X1,X2))
| ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f10159]) ).
fof(f13523,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| r2_hidden(X0,X2)
| r2_hidden(X0,k5_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f10159]) ).
fof(f13524,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X2)
| r2_hidden(X0,X1)
| r2_hidden(X0,k5_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f10159]) ).
fof(f13525,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(f13526,plain,
k3_numbers != k5_numbers,
inference(cnf_transformation,[],[f2666]) ).
fof(f13527,plain,
k1_numbers != k3_numbers,
inference(cnf_transformation,[],[f2660]) ).
fof(f13528,plain,
r1_tarski(k5_numbers,k3_numbers),
inference(cnf_transformation,[],[f2656]) ).
fof(f13529,plain,
r1_tarski(k3_numbers,k1_numbers),
inference(cnf_transformation,[],[f2650]) ).
fof(f13530,plain,
~ v1_xboole_0(k3_numbers),
inference(cnf_transformation,[],[f2634]) ).
fof(f13531,plain,
! [X0] :
( ~ v1_classes2(X0)
| v2_classes1(X0) ),
inference(cnf_transformation,[],[f10161]) ).
fof(f13532,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_ordinal1(X0) ),
inference(cnf_transformation,[],[f10161]) ).
fof(f13534,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ v1_ordinal1(X1)
| ~ v2_classes1(X0)
| r2_hidden(X1,k4_classes1(k1_card_1(X0))) ),
inference(cnf_transformation,[],[f8627]) ).
fof(f13535,plain,
! [X0] : v2_classes1(k4_classes1(k1_card_1(k1_classes1(X0)))),
inference(cnf_transformation,[],[f3606]) ).
fof(f13536,plain,
! [X0] :
( ~ v2_classes1(X0)
| v2_classes1(k4_classes1(k1_card_1(X0))) ),
inference(cnf_transformation,[],[f8628]) ).
fof(f13537,plain,
! [X0,X1] :
( r2_hidden(X1,k4_classes1(k1_card_1(X0)))
| r2_wellord2(X1,k4_classes1(k1_card_1(X0)))
| ~ r1_tarski(X1,k4_classes1(k1_card_1(X0)))
| ~ v2_classes1(X0) ),
inference(cnf_transformation,[],[f8629]) ).
fof(f13538,plain,
! [X0] :
( ~ v2_classes1(X0)
| k1_card_1(X0) = k1_card_1(k4_classes1(k1_card_1(X0))) ),
inference(cnf_transformation,[],[f8630]) ).
fof(f13539,plain,
! [X0] :
( ~ v1_ordinal1(X0)
| ~ v2_classes1(X0)
| k4_classes1(k1_card_1(X0)) = X0 ),
inference(cnf_transformation,[],[f8632]) ).
fof(f13540,plain,
! [X0] :
( ~ v1_ordinal1(X0)
| ~ v2_classes1(X0)
| r1_tarski(X0,k4_classes1(k1_card_1(X0))) ),
inference(cnf_transformation,[],[f8634]) ).
fof(f13541,plain,
! [X0] :
( ~ v2_classes1(X0)
| r1_tarski(k4_classes1(k1_card_1(X0)),X0) ),
inference(cnf_transformation,[],[f8635]) ).
fof(f13542,plain,
! [X0,X1] :
( ~ v2_classes1(X0)
| r1_tarski(k1_funct_2(X1,X0),X0)
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_card_1(X1),k1_card_1(X0)) ),
inference(cnf_transformation,[],[f8637]) ).
fof(f13543,plain,
! [X0,X1] :
( ~ v2_classes1(X0)
| r1_tarski(k1_funct_2(X1,X0),X0)
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f8637]) ).
fof(f13544,plain,
! [X0,X1] :
( ~ v2_classes1(X0)
| r1_tarski(k1_funct_2(X1,X0),X0)
| ~ v1_ordinal1(X0)
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f8637]) ).
fof(f13548,plain,
! [X0] :
( ~ v2_classes1(X0)
| v4_ordinal1(k1_card_1(X0)) ),
inference(cnf_transformation,[],[f8640]) ).
fof(f13549,plain,
! [X0,X1] :
( ~ v1_card_1(X0)
| ~ r2_hidden(X0,X1)
| ~ v2_classes1(X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8642]) ).
fof(f13551,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k1_card_1(X0))
| ~ v2_classes1(X0)
| r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f8646]) ).
fof(f13552,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ v2_classes1(X0)
| r2_hidden(k1_card_1(X1),X0) ),
inference(cnf_transformation,[],[f8648]) ).
fof(f13553,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ v2_classes1(X0)
| r1_tarski(k1_classes1(X1),X0) ),
inference(cnf_transformation,[],[f8650]) ).
fof(f13554,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X0)
| ~ v2_classes1(X0)
| r2_hidden(k4_tarski(X1,X2),X0) ),
inference(cnf_transformation,[],[f8652]) ).
fof(f13555,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X0)
| ~ v2_classes1(X0)
| r2_hidden(k2_tarski(X1,X2),X0) ),
inference(cnf_transformation,[],[f8654]) ).
fof(f13556,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X0)
| ~ v2_classes1(X0)
| r2_hidden(k1_tarski(X1),X0) ),
inference(cnf_transformation,[],[f8654]) ).
fof(f13557,plain,
! [X0] :
( ~ v2_classes1(X0)
| ~ v1_ordinal1(X0)
| v1_classes2(X0) ),
inference(cnf_transformation,[],[f8656]) ).
fof(f13558,plain,
! [X0] :
( ~ v1_card_1(X0)
| v1_finset_1(X0)
| v4_ordinal1(X0) ),
inference(cnf_transformation,[],[f8658]) ).
fof(f13559,plain,
! [X0] : v4_ordinal1(k1_card_1(k1_classes1(X0))),
inference(cnf_transformation,[],[f3588]) ).
fof(f13560,plain,
! [X0] : k1_xboole_0 != k1_card_1(k1_classes1(X0)),
inference(cnf_transformation,[],[f3588]) ).
fof(f13562,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| v4_ordinal1(sK503(X0)) ),
inference(cnf_transformation,[],[f10162]) ).
fof(f13563,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| r2_hidden(X0,sK503(X0)) ),
inference(cnf_transformation,[],[f10162]) ).
fof(f13564,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| v3_ordinal1(sK503(X0)) ),
inference(cnf_transformation,[],[f10162]) ).
fof(f13565,plain,
v4_ordinal1(k1_xboole_0),
inference(cnf_transformation,[],[f2199]) ).
fof(f13566,plain,
! [X0] :
( ~ v4_ordinal1(X0)
| k3_tarski(X0) = X0 ),
inference(cnf_transformation,[],[f10163]) ).
fof(f13567,plain,
! [X0] :
( k3_tarski(X0) != X0
| v4_ordinal1(X0) ),
inference(cnf_transformation,[],[f10163]) ).
fof(f13568,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,[],[f10166]) ).
fof(f13569,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(sK504(X0,X1,X2),u1_struct_0(X0))
| v1_group_6(X2,X0,X1) ),
inference(cnf_transformation,[],[f10166]) ).
fof(f13570,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(sK505(X0,X1,X2),u1_struct_0(X0))
| v1_group_6(X2,X0,X1) ),
inference(cnf_transformation,[],[f10166]) ).
fof(f13571,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,sK504(X0,X1,X2),sK505(X0,X1,X2))) != k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK504(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK505(X0,X1,X2)))
| v1_group_6(X2,X0,X1) ),
inference(cnf_transformation,[],[f10166]) ).
fof(f13572,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8663]) ).
fof(f13573,plain,
! [X2,X3,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))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_group_1(X1,X2,X3) != k1_group_1(X1,X3,X2)
| k1_group_1(X1,X2,k6_group_1(X1,X0,X3)) = k1_group_1(X1,k6_group_1(X1,X0,X3),X2) ),
inference(cnf_transformation,[],[f8665]) ).
fof(f13574,plain,
! [X2,X3,X0,X1,X4] :
( ~ 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))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| k1_group_1(X2,X3,X4) != k1_group_1(X2,X4,X3)
| k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X4)) = k1_group_1(X2,k6_group_1(X2,X1,X4),k6_group_1(X2,X0,X3)) ),
inference(cnf_transformation,[],[f8667]) ).
fof(f13575,plain,
! [X2,X3,X0,X1,X4] :
( ~ 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))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| k1_group_1(X2,X3,X4) != k1_group_1(X2,X4,X3)
| k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X4)) = k1_group_1(X2,k6_group_1(X2,X1,X4),k6_group_1(X2,X0,X3)) ),
inference(cnf_transformation,[],[f8669]) ).
fof(f13576,plain,
! [X2,X3,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))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_group_1(X1,X2,X3) != k1_group_1(X1,X3,X2)
| k6_group_1(X1,X0,k1_group_1(X1,X2,X3)) = k1_group_1(X1,k6_group_1(X1,X0,X2),k6_group_1(X1,X0,X3)) ),
inference(cnf_transformation,[],[f8671]) ).
fof(f13577,plain,
! [X2,X3,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))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_group_1(X1,X2,X3) != k1_group_1(X1,X3,X2)
| k6_group_1(X1,X0,k1_group_1(X1,X2,X3)) = k1_group_1(X1,k6_group_1(X1,X0,X2),k6_group_1(X1,X0,X3)) ),
inference(cnf_transformation,[],[f8673]) ).
fof(f13578,plain,
! [X2,X3,X0,X1,X4] :
( ~ 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))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| k1_group_1(X2,X3,X4) != k1_group_1(X2,X4,X3)
| k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X4)) = k1_group_1(X2,k6_group_1(X2,X1,X4),k6_group_1(X2,X0,X3)) ),
inference(cnf_transformation,[],[f8675]) ).
fof(f13579,plain,
! [X2,X3,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))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_group_1(X1,X2,X3) != k1_group_1(X1,X3,X2)
| k1_group_1(X1,X2,k6_group_1(X1,X0,X3)) = k1_group_1(X1,k6_group_1(X1,X0,X3),X2) ),
inference(cnf_transformation,[],[f8677]) ).
fof(f13580,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,sK506(X0,X1,X2),X1) = X2 ),
inference(cnf_transformation,[],[f10167]) ).
fof(f13581,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))
| m1_subset_1(sK506(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10167]) ).
fof(f13582,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,sK507(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f10168]) ).
fof(f13583,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))
| m1_subset_1(sK507(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10168]) ).
fof(f13584,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,[],[f8683]) ).
fof(f13585,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,[],[f8683]) ).
fof(f13586,plain,
! [X2,X3,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))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,X2,X1) != k1_group_1(X0,X3,X1)
| X2 = X3 ),
inference(cnf_transformation,[],[f8685]) ).
fof(f13587,plain,
! [X2,X3,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))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,X1,X2) != k1_group_1(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f8685]) ).
fof(f13588,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(sK508(X0,X1),u1_struct_0(X0))
| k2_group_1(X0) = X1 ),
inference(cnf_transformation,[],[f10169]) ).
fof(f13589,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK508(X0,X1) != k1_group_1(X0,X1,sK508(X0,X1))
| sK508(X0,X1) != k1_group_1(X0,sK508(X0,X1),X1)
| k2_group_1(X0) = X1 ),
inference(cnf_transformation,[],[f10169]) ).
fof(f13594,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK512(X0),u1_struct_0(X0))
| sP33(X0)
| v3_group_1(X0) ),
inference(cnf_transformation,[],[f10173]) ).
fof(f13595,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK513(X0),u1_struct_0(X0))
| sP33(X0)
| v3_group_1(X0) ),
inference(cnf_transformation,[],[f10173]) ).
fof(f13596,plain,
! [X3,X0,X4] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sK513(X0) != k1_group_1(X0,X4,sK512(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| sK513(X0) != k1_group_1(X0,sK512(X0),X3)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| sP33(X0)
| v3_group_1(X0) ),
inference(cnf_transformation,[],[f10173]) ).
fof(f13597,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK512(X0),u1_struct_0(X0))
| sP33(X0)
| v4_group_1(X0) ),
inference(cnf_transformation,[],[f10173]) ).
fof(f13598,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK513(X0),u1_struct_0(X0))
| sP33(X0)
| v4_group_1(X0) ),
inference(cnf_transformation,[],[f10173]) ).
fof(f13599,plain,
! [X3,X0,X4] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sK513(X0) != k1_group_1(X0,X4,sK512(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| sK513(X0) != k1_group_1(X0,sK512(X0),X3)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| sP33(X0)
| v4_group_1(X0) ),
inference(cnf_transformation,[],[f10173]) ).
fof(f13605,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sP34(X0)
| v4_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK517(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10177]) ).
fof(f13606,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sP34(X0)
| v3_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK517(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10177]) ).
fof(f13609,plain,
! [X3,X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sP34(X0)
| v4_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_group_1(X0,X3,sK517(X0,X1)) != X1
| k1_group_1(X0,sK517(X0,X1),X3) != X1
| ~ m1_subset_1(X3,u1_struct_0(X0))
| sK517(X0,X1) != k1_group_1(X0,X1,sK517(X0,X1))
| sK517(X0,X1) != k1_group_1(X0,sK517(X0,X1),X1) ),
inference(cnf_transformation,[],[f10177]) ).
fof(f13610,plain,
! [X3,X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sP34(X0)
| v3_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_group_1(X0,X3,sK517(X0,X1)) != X1
| k1_group_1(X0,sK517(X0,X1),X3) != X1
| ~ m1_subset_1(X3,u1_struct_0(X0))
| sK517(X0,X1) != k1_group_1(X0,X1,sK517(X0,X1))
| sK517(X0,X1) != k1_group_1(X0,sK517(X0,X1),X1) ),
inference(cnf_transformation,[],[f10177]) ).
fof(f13612,plain,
! [X0,X6,X4,X5] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v4_group_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_group_1(X0,k1_group_1(X0,X4,X5),X6) = k1_group_1(X0,X4,k1_group_1(X0,X5,X6)) ),
inference(cnf_transformation,[],[f10180]) ).
fof(f13613,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK518(X0),u1_struct_0(X0))
| v4_group_1(X0) ),
inference(cnf_transformation,[],[f10180]) ).
fof(f13614,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK519(X0),u1_struct_0(X0))
| v4_group_1(X0) ),
inference(cnf_transformation,[],[f10180]) ).
fof(f13615,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK520(X0),u1_struct_0(X0))
| v4_group_1(X0) ),
inference(cnf_transformation,[],[f10180]) ).
fof(f13616,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| k1_group_1(X0,k1_group_1(X0,sK518(X0),sK519(X0)),sK520(X0)) != k1_group_1(X0,sK518(X0),k1_group_1(X0,sK519(X0),sK520(X0)))
| v4_group_1(X0) ),
inference(cnf_transformation,[],[f10180]) ).
fof(f13617,plain,
! [X0,X5] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| sK522(X0) = k1_group_1(X0,sK523(X0,X5),X5) ),
inference(cnf_transformation,[],[f10183]) ).
fof(f13618,plain,
! [X0,X5] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| sK522(X0) = k1_group_1(X0,X5,sK523(X0,X5)) ),
inference(cnf_transformation,[],[f10183]) ).
fof(f13619,plain,
! [X0,X5] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| m1_subset_1(sK523(X0,X5),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10183]) ).
fof(f13620,plain,
! [X0,X5] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| k1_group_1(X0,sK522(X0),X5) = X5 ),
inference(cnf_transformation,[],[f10183]) ).
fof(f13621,plain,
! [X0,X5] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| k1_group_1(X0,X5,sK522(X0)) = X5 ),
inference(cnf_transformation,[],[f10183]) ).
fof(f13622,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| m1_subset_1(sK522(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10183]) ).
fof(f13623,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK521(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_group_1(X0) ),
inference(cnf_transformation,[],[f10183]) ).
fof(f13624,plain,
! [X3,X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| k1_group_1(X0,X3,sK521(X0,X1)) != X1
| k1_group_1(X0,sK521(X0,X1),X3) != X1
| ~ m1_subset_1(X3,u1_struct_0(X0))
| sK521(X0,X1) != k1_group_1(X0,X1,sK521(X0,X1))
| sK521(X0,X1) != k1_group_1(X0,sK521(X0,X1),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_group_1(X0) ),
inference(cnf_transformation,[],[f10183]) ).
fof(f13625,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,[],[f8697]) ).
fof(f13626,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,[],[f8699]) ).
fof(f13627,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_int_1(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_group_1(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8701]) ).
fof(f13628,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,[],[f8703]) ).
fof(f13630,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))
| k6_group_1(X0,np__1,X1) = X1 ),
inference(cnf_transformation,[],[f8707]) ).
fof(f13631,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,[],[f8709]) ).
fof(f13632,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,[],[f8711]) ).
fof(f13633,plain,
! [X0,X1] :
( ~ v1_int_1(X0)
| ~ v1_int_1(X1)
| r1_xreal_0(X1,X0)
| r1_xreal_0(X0,k6_xcmplx_0(X1,np__1)) ),
inference(cnf_transformation,[],[f8713]) ).
fof(f13634,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v1_int_1(X1)
| m2_subset_1(sK524(X0,X1),k1_numbers,k5_numbers)
| r1_xreal_0(X1,X0) ),
inference(cnf_transformation,[],[f10184]) ).
fof(f13635,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v1_int_1(X1)
| r1_xreal_0(np__1,sK524(X0,X1))
| r1_xreal_0(X1,X0) ),
inference(cnf_transformation,[],[f10184]) ).
fof(f13636,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v1_int_1(X1)
| k6_xcmplx_0(X1,X0) = sK524(X0,X1)
| r1_xreal_0(X1,X0) ),
inference(cnf_transformation,[],[f10184]) ).
fof(f13637,plain,
! [X2,X0,X1] :
( ~ v1_xreal_0(X0)
| ~ v1_int_1(X1)
| ~ v1_int_1(X2)
| ~ r1_xreal_0(X2,X0)
| ~ r1_xreal_0(X1,X0)
| X1 = X2
| r1_xreal_0(X2,k6_xcmplx_0(X0,np__1))
| r1_xreal_0(X1,k6_xcmplx_0(X0,np__1)) ),
inference(cnf_transformation,[],[f8717]) ).
fof(f13638,plain,
! [X0,X1] :
( ~ v1_int_1(X0)
| ~ v1_int_1(X1)
| ~ r1_xreal_0(X0,X1)
| r2_hidden(k6_xcmplx_0(X1,X0),k5_numbers) ),
inference(cnf_transformation,[],[f8719]) ).
fof(f13639,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_numbers)
| ~ m1_subset_1(X0,k5_numbers)
| v1_int_1(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8721]) ).
fof(f13640,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_numbers)
| ~ m1_subset_1(X0,k5_numbers)
| v1_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8721]) ).
fof(f13641,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_numbers)
| ~ m1_subset_1(X0,k5_numbers)
| v1_xcmplx_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8721]) ).
fof(f13642,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| v1_int_1(k6_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8723]) ).
fof(f13643,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| v1_xreal_0(k6_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8723]) ).
fof(f13644,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| v1_xcmplx_0(k6_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8723]) ).
fof(f13645,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_int_1(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8725]) ).
fof(f13646,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8725]) ).
fof(f13647,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_xcmplx_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8725]) ).
fof(f13648,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v3_xreal_0(k6_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8727]) ).
fof(f13649,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v2_xreal_0(k6_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8727]) ).
fof(f13652,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(k6_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8727]) ).
fof(f13653,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v3_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8729]) ).
fof(f13654,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8729]) ).
fof(f13657,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8729]) ).
fof(f13658,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v3_xreal_0(k6_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8731]) ).
fof(f13659,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k6_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8731]) ).
fof(f13662,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(k6_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8731]) ).
fof(f13663,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v3_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8733]) ).
fof(f13664,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v2_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8733]) ).
fof(f13667,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8733]) ).
fof(f13668,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k6_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8735]) ).
fof(f13671,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v3_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8737]) ).
fof(f13674,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v1_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8739]) ).
fof(f13675,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v1_xcmplx_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8739]) ).
fof(f13676,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ~ v2_xreal_0(X0)
| ~ r1_xreal_0(X0,np__0) ),
inference(cnf_transformation,[],[f10185]) ).
fof(f13677,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| r1_xreal_0(X0,np__0)
| v2_xreal_0(X0) ),
inference(cnf_transformation,[],[f10185]) ).
fof(f13678,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v3_xreal_0(k3_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8742]) ).
fof(f13679,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v1_xreal_0(k3_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8742]) ).
fof(f13680,plain,
! [X0,X1] :
( v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v1_xcmplx_0(k3_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8742]) ).
fof(f13681,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k3_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8744]) ).
fof(f13682,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v1_xreal_0(k3_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8744]) ).
fof(f13683,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v1_xcmplx_0(k3_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f8744]) ).
fof(f13684,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k3_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8746]) ).
fof(f13685,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v1_xreal_0(k3_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8746]) ).
fof(f13686,plain,
! [X0,X1] :
( v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v1_xcmplx_0(k3_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f8746]) ).
fof(f13687,plain,
~ v3_xreal_0(sK525),
inference(cnf_transformation,[],[f10186]) ).
fof(f13688,plain,
~ v2_xreal_0(sK525),
inference(cnf_transformation,[],[f10186]) ).
fof(f13689,plain,
v1_xreal_0(sK525),
inference(cnf_transformation,[],[f10186]) ).
fof(f13690,plain,
v1_xcmplx_0(sK525),
inference(cnf_transformation,[],[f10186]) ).
fof(f13691,plain,
v1_xboole_0(sK525),
inference(cnf_transformation,[],[f10186]) ).
fof(f13692,plain,
v3_xreal_0(sK526),
inference(cnf_transformation,[],[f10187]) ).
fof(f13693,plain,
~ v2_xreal_0(sK526),
inference(cnf_transformation,[],[f10187]) ).
fof(f13694,plain,
v1_xreal_0(sK526),
inference(cnf_transformation,[],[f10187]) ).
fof(f13695,plain,
v1_xcmplx_0(sK526),
inference(cnf_transformation,[],[f10187]) ).
fof(f13696,plain,
~ v1_xboole_0(sK526),
inference(cnf_transformation,[],[f10187]) ).
fof(f13697,plain,
~ v3_xreal_0(sK527),
inference(cnf_transformation,[],[f10188]) ).
fof(f13698,plain,
v2_xreal_0(sK527),
inference(cnf_transformation,[],[f10188]) ).
fof(f13699,plain,
v1_xreal_0(sK527),
inference(cnf_transformation,[],[f10188]) ).
fof(f13700,plain,
v1_xcmplx_0(sK527),
inference(cnf_transformation,[],[f10188]) ).
fof(f13701,plain,
~ v1_xboole_0(sK527),
inference(cnf_transformation,[],[f10188]) ).
fof(f13715,plain,
! [X0] :
( ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f8754]) ).
fof(f13716,plain,
! [X0] :
( v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v1_xboole_0(X0)
| v2_xreal_0(X0) ),
inference(cnf_transformation,[],[f8756]) ).
fof(f13719,plain,
! [X0] :
( ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v3_xreal_0(X0) ),
inference(cnf_transformation,[],[f8758]) ).
fof(f13722,plain,
! [X0] :
( ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f8758]) ).
fof(f13726,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f8759]) ).
fof(f13731,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| v1_card_1(X0) ),
inference(cnf_transformation,[],[f8760]) ).
fof(f13738,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| v1_int_1(X0) ),
inference(cnf_transformation,[],[f8761]) ).
fof(f13739,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| ~ v3_xreal_0(X0) ),
inference(cnf_transformation,[],[f8761]) ).
fof(f13740,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f8761]) ).
fof(f13741,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| v1_xcmplx_0(X0) ),
inference(cnf_transformation,[],[f8761]) ).
fof(f13742,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f8761]) ).
fof(f13743,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f8761]) ).
fof(f13744,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| v1_ordinal1(X0) ),
inference(cnf_transformation,[],[f8761]) ).
fof(f13745,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ~ v3_xreal_0(X0)
| ~ r1_xreal_0(np__0,X0) ),
inference(cnf_transformation,[],[f10189]) ).
fof(f13746,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| r1_xreal_0(np__0,X0)
| v3_xreal_0(X0) ),
inference(cnf_transformation,[],[f10189]) ).
fof(f13747,plain,
! [X2,X0,X1] :
( ~ l1_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))
| ~ v2_funct_1(X2)
| ~ v2_funct_1(X1)
| k2_relat_1(X1) != k2_relat_1(X2)
| k9_rlvect_1(X0,X1) = k9_rlvect_1(X0,X2) ),
inference(cnf_transformation,[],[f8764]) ).
fof(f13748,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) != k5_rlvect_1(X0,X1)
| k1_rlvect_1(X0) = X1 ),
inference(cnf_transformation,[],[f8766]) ).
fof(f13751,plain,
! [X0] :
( ~ sP36(X0)
| l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10192]) ).
fof(f13752,plain,
! [X0] :
( ~ sP36(X0)
| v6_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10192]) ).
fof(f13753,plain,
! [X0] :
( ~ sP36(X0)
| v5_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10192]) ).
fof(f13754,plain,
! [X0] :
( ~ sP36(X0)
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10192]) ).
fof(f13755,plain,
! [X0] :
( ~ sP36(X0)
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10192]) ).
fof(f13756,plain,
! [X0] :
( ~ sP36(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f10192]) ).
fof(f13757,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)
| sP36(X0) ),
inference(cnf_transformation,[],[f10192]) ).
fof(f13767,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP35(X0)
| sP36(X0) ),
inference(cnf_transformation,[],[f10196]) ).
fof(f13768,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP36(X0)
| sP35(X0) ),
inference(cnf_transformation,[],[f10196]) ).
fof(f13769,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| k1_rlvect_1(X0) = k5_rlvect_1(X0,k1_rlvect_1(X0)) ),
inference(cnf_transformation,[],[f8772]) ).
fof(f13770,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,[],[f8774]) ).
fof(f13771,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,[],[f8774]) ).
fof(f13772,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,[],[f8776]) ).
fof(f13773,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,[],[f8778]) ).
fof(f13776,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,[],[f10197]) ).
fof(f13777,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,[],[f8782]) ).
fof(f13779,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,sK533(X0,X3)) ),
inference(cnf_transformation,[],[f10200]) ).
fof(f13780,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(sK533(X0,X3),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10200]) ).
fof(f13781,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK532(X0),u1_struct_0(X0))
| v6_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10200]) ).
fof(f13782,plain,
! [X2,X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| k1_rlvect_1(X0) != k2_rlvect_1(X0,sK532(X0),X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v6_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10200]) ).
fof(f13783,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,[],[f10203]) ).
fof(f13784,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK534(X0),u1_struct_0(X0))
| v5_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10203]) ).
fof(f13785,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| sK534(X0) != k2_rlvect_1(X0,sK534(X0),k1_rlvect_1(X0))
| v5_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10203]) ).
fof(f13786,plain,
! [X0,X1] :
( ~ v1_classes2(X1)
| v1_xboole_0(X1)
| ~ r2_hidden(X0,X1)
| r2_hidden(k1_setfam_1(X0),X1) ),
inference(cnf_transformation,[],[f8788]) ).
fof(f13787,plain,
! [X0,X1] :
( ~ v1_classes2(X1)
| v1_xboole_0(X1)
| ~ r2_hidden(X0,X1)
| r2_hidden(k3_tarski(X0),X1) ),
inference(cnf_transformation,[],[f8788]) ).
fof(f13788,plain,
! [X0,X1] :
( ~ v1_classes2(X1)
| v1_xboole_0(X1)
| ~ r2_hidden(X0,X1)
| r2_hidden(k1_zfmisc_1(X0),X1) ),
inference(cnf_transformation,[],[f8788]) ).
fof(f13789,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ r2_hidden(X1,X0)
| v4_membered(k1_setfam_1(X0)) ),
inference(cnf_transformation,[],[f8790]) ).
fof(f13790,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ r2_hidden(X1,X0)
| v3_membered(k1_setfam_1(X0)) ),
inference(cnf_transformation,[],[f8792]) ).
fof(f13791,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ r2_hidden(X1,X0)
| v2_membered(k1_setfam_1(X0)) ),
inference(cnf_transformation,[],[f8794]) ).
fof(f13792,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ r2_hidden(X1,X0)
| v1_membered(k1_setfam_1(X0)) ),
inference(cnf_transformation,[],[f8796]) ).
fof(f13793,plain,
! [X0] :
( r2_hidden(sK535(X0),X0)
| v3_ordinal1(k1_setfam_1(X0)) ),
inference(cnf_transformation,[],[f10204]) ).
fof(f13794,plain,
! [X0] :
( ~ v3_ordinal1(sK535(X0))
| v3_ordinal1(k1_setfam_1(X0)) ),
inference(cnf_transformation,[],[f10204]) ).
fof(f13795,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k1_setfam_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f602]) ).
fof(f13796,plain,
! [X0] : k1_setfam_1(k1_tarski(X0)) = X0,
inference(cnf_transformation,[],[f601]) ).
fof(f13797,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,[],[f8798]) ).
fof(f13798,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X2)
| ~ r2_hidden(X0,X1)
| r1_xboole_0(k1_setfam_1(X1),X2) ),
inference(cnf_transformation,[],[f8800]) ).
fof(f13799,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X2)
| ~ r2_hidden(X0,X1)
| r1_tarski(k1_setfam_1(X1),X2) ),
inference(cnf_transformation,[],[f8802]) ).
fof(f13800,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_setfam_1(X1),k1_setfam_1(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8804]) ).
fof(f13801,plain,
! [X0,X1] :
( r2_hidden(sK536(X0,X1),X0)
| r1_tarski(X1,k1_setfam_1(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f10205]) ).
fof(f13802,plain,
! [X0,X1] :
( ~ r1_tarski(X1,sK536(X0,X1))
| r1_tarski(X1,k1_setfam_1(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f10205]) ).
fof(f13803,plain,
! [X0] :
( ~ r2_hidden(k1_xboole_0,X0)
| k1_xboole_0 = k1_setfam_1(X0) ),
inference(cnf_transformation,[],[f8807]) ).
fof(f13804,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| r1_tarski(k1_setfam_1(X1),X0) ),
inference(cnf_transformation,[],[f8808]) ).
fof(f13805,plain,
! [X0] : r1_tarski(k1_setfam_1(X0),k3_tarski(X0)),
inference(cnf_transformation,[],[f593]) ).
fof(f13807,plain,
! [X0,X1] :
( k1_xboole_0 != X0
| k1_setfam_1(X0) != X1
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f10208]) ).
fof(f13809,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,[],[f10208]) ).
fof(f13810,plain,
! [X0,X1,X5] :
( k1_xboole_0 = X0
| k1_setfam_1(X0) != X1
| r2_hidden(sK539(X0,X5),X0)
| r2_hidden(X5,X1) ),
inference(cnf_transformation,[],[f10208]) ).
fof(f13811,plain,
! [X0,X1,X5] :
( k1_xboole_0 = X0
| k1_setfam_1(X0) != X1
| ~ r2_hidden(X5,sK539(X0,X5))
| r2_hidden(X5,X1) ),
inference(cnf_transformation,[],[f10208]) ).
fof(f13812,plain,
! [X0,X1,X4] :
( k1_xboole_0 = X0
| r2_hidden(sK537(X0,X1),X1)
| ~ r2_hidden(X4,X0)
| r2_hidden(sK537(X0,X1),X4)
| k1_setfam_1(X0) = X1 ),
inference(cnf_transformation,[],[f10208]) ).
fof(f13813,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| ~ r2_hidden(sK537(X0,X1),X1)
| r2_hidden(sK538(X0,X1),X0)
| k1_setfam_1(X0) = X1 ),
inference(cnf_transformation,[],[f10208]) ).
fof(f13814,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| ~ r2_hidden(sK537(X0,X1),X1)
| ~ r2_hidden(sK537(X0,X1),sK538(X0,X1))
| k1_setfam_1(X0) = X1 ),
inference(cnf_transformation,[],[f10208]) ).
fof(f13815,plain,
! [X2,X3,X0,X1] : v1_finset_1(k2_enumset1(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f2321]) ).
fof(f13816,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(f13817,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,[],[f8811]) ).
fof(f13818,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X3,X2,X1,X0),
inference(cnf_transformation,[],[f314]) ).
fof(f13819,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X3,X1,X2,X0),
inference(cnf_transformation,[],[f312]) ).
fof(f13820,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X3,X1,X0),
inference(cnf_transformation,[],[f308]) ).
fof(f13821,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X3,X0,X1),
inference(cnf_transformation,[],[f307]) ).
fof(f13822,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X1,X3,X0),
inference(cnf_transformation,[],[f306]) ).
fof(f13823,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X1,X0,X3),
inference(cnf_transformation,[],[f305]) ).
fof(f13824,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X3,X2,X0),
inference(cnf_transformation,[],[f302]) ).
fof(f13825,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X3,X0,X2),
inference(cnf_transformation,[],[f301]) ).
fof(f13826,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X2,X3,X0),
inference(cnf_transformation,[],[f300]) ).
fof(f13827,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X2,X0,X3),
inference(cnf_transformation,[],[f299]) ).
fof(f13828,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X0,X3,X2),
inference(cnf_transformation,[],[f298]) ).
fof(f13829,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X0,X2,X3),
inference(cnf_transformation,[],[f297]) ).
fof(f13830,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X3,X2,X1),
inference(cnf_transformation,[],[f296]) ).
fof(f13831,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X2,X3,X1),
inference(cnf_transformation,[],[f294]) ).
fof(f13832,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X2,X1,X3),
inference(cnf_transformation,[],[f293]) ).
fof(f13833,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X1,X3,X2),
inference(cnf_transformation,[],[f292]) ).
fof(f13835,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_enumset1(X0,X0,X0,X1),
inference(cnf_transformation,[],[f266]) ).
fof(f13836,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(f13847,plain,
! [X2,X3,X0,X1,X4] :
( k2_enumset1(X0,X1,X2,X3) != X4
| sP37(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f10213]) ).
fof(f13848,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP37(X0,X1,X2,X3,X4)
| k2_enumset1(X0,X1,X2,X3) = X4 ),
inference(cnf_transformation,[],[f10213]) ).
fof(f13849,plain,
! [X2,X0,X1] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| r2_hidden(k1_funct_2(X0,X1),X2) ),
inference(cnf_transformation,[],[f8814]) ).
fof(f13850,plain,
! [X2,X0,X1] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| r2_hidden(k2_zfmisc_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f8814]) ).
fof(f13851,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k1_classes1(X1))
| ~ r2_hidden(k1_card_1(X0),k1_card_1(k1_classes1(X1)))
| r1_tarski(k1_funct_2(X0,k1_classes1(X1)),k1_classes1(X1)) ),
inference(cnf_transformation,[],[f8815]) ).
fof(f13852,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k1_classes1(X1))
| ~ r2_hidden(X0,k1_classes1(X1))
| r1_tarski(k1_funct_2(X0,k1_classes1(X1)),k1_classes1(X1)) ),
inference(cnf_transformation,[],[f8815]) ).
fof(f13853,plain,
! [X0,X1] :
( ~ v1_ordinal1(X1)
| ~ r2_hidden(X0,k1_classes1(X1))
| r1_tarski(k1_funct_2(X0,k1_classes1(X1)),k1_classes1(X1)) ),
inference(cnf_transformation,[],[f8815]) ).
fof(f13854,plain,
! [X2,X3,X0,X1] :
( k1_card_1(X2) != k1_card_1(X3)
| k1_card_1(X0) != k1_card_1(X1)
| k1_card_1(k1_funct_2(X0,X2)) = k1_card_1(k1_funct_2(X1,X3)) ),
inference(cnf_transformation,[],[f8817]) ).
fof(f13855,plain,
! [X0] : k1_tarski(k1_xboole_0) = k1_funct_2(k1_xboole_0,X0),
inference(cnf_transformation,[],[f3537]) ).
fof(f13856,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_funct_2(X2,X0),k1_funct_2(X2,X1)) ),
inference(cnf_transformation,[],[f8818]) ).
fof(f13857,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k1_funct_2(X0,X1)) ),
inference(cnf_transformation,[],[f8820]) ).
fof(f13858,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ r1_tarski(X3,X0)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X4,k1_funct_2(X2,X3))
| m2_relset_1(X4,X1,X0)
| k1_xboole_0 = k1_funct_2(X2,X3) ),
inference(cnf_transformation,[],[f8822]) ).
fof(f13859,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ r1_tarski(X3,X0)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X4,k1_funct_2(X2,X3))
| v1_funct_1(X4)
| k1_xboole_0 = k1_funct_2(X2,X3) ),
inference(cnf_transformation,[],[f8822]) ).
fof(f13860,plain,
! [X0,X1] : r1_tarski(k1_funct_2(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(cnf_transformation,[],[f2542]) ).
fof(f13861,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X2,k1_funct_2(X0,X1))
| r1_tarski(k2_relat_1(X2),X1) ),
inference(cnf_transformation,[],[f8824]) ).
fof(f13862,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X2,k1_funct_2(X0,X1))
| k1_relat_1(X2) = X0 ),
inference(cnf_transformation,[],[f8824]) ).
fof(f13863,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k1_funct_2(X0,X1))
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8825]) ).
fof(f13864,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k1_funct_2(X0,X1))
| v1_funct_2(X2,X0,X1) ),
inference(cnf_transformation,[],[f8825]) ).
fof(f13865,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k1_funct_2(X0,X1))
| v1_funct_1(X2) ),
inference(cnf_transformation,[],[f8825]) ).
fof(f13866,plain,
! [X0] :
( k1_xboole_0 = X0
| k1_xboole_0 = k1_funct_2(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f8826]) ).
fof(f13867,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| r2_hidden(X1,k1_funct_2(X0,X0)) ),
inference(cnf_transformation,[],[f8828]) ).
fof(f13868,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 = X1
| r2_hidden(X2,k1_funct_2(X0,X1)) ),
inference(cnf_transformation,[],[f8830]) ).
fof(f13869,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 != X0
| r2_hidden(X2,k1_funct_2(X0,X1)) ),
inference(cnf_transformation,[],[f8830]) ).
fof(f13882,plain,
! [X2,X0,X1] :
( k1_funct_2(X0,X1) != X2
| sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f10217]) ).
fof(f13883,plain,
! [X2,X0,X1] :
( ~ sP38(X0,X1,X2)
| k1_funct_2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10217]) ).
fof(f13884,plain,
! [X0] : ~ v1_xboole_0(k1_funct_2(X0,X0)),
inference(cnf_transformation,[],[f1693]) ).
fof(f13885,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ~ v1_xboole_0(k1_funct_2(X0,X1)) ),
inference(cnf_transformation,[],[f8831]) ).
fof(f13886,plain,
! [X0,X1] :
( ~ v1_card_1(X0)
| ~ v1_card_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(X1)
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f8833]) ).
fof(f13888,plain,
! [X0] :
( ~ v1_card_1(X0)
| ~ r2_hidden(np__0,X0)
| r1_tarski(np__1,X0) ),
inference(cnf_transformation,[],[f10218]) ).
fof(f13889,plain,
! [X0] :
( ~ v1_card_1(X0)
| ~ r1_tarski(np__1,X0)
| r2_hidden(np__0,X0) ),
inference(cnf_transformation,[],[f10218]) ).
fof(f13891,plain,
! [X0,X1] :
( ~ v1_card_1(X0)
| ~ v1_card_1(X1)
| ~ v1_finset_1(X0)
| r1_tarski(X0,X1)
| v1_finset_1(X1) ),
inference(cnf_transformation,[],[f8837]) ).
fof(f13892,plain,
! [X0,X1] :
( ~ v1_card_1(X0)
| ~ v1_card_1(X1)
| ~ v1_finset_1(X0)
| r2_hidden(X0,X1)
| v1_finset_1(X1) ),
inference(cnf_transformation,[],[f8837]) ).
fof(f13893,plain,
! [X0] : v1_card_1(k1_card_1(X0)),
inference(cnf_transformation,[],[f3220]) ).
fof(f13894,plain,
! [X0] :
( ~ v1_card_1(X0)
| ~ v1_finset_1(X0)
| k1_card_1(sK544(X0)) = X0 ),
inference(cnf_transformation,[],[f10219]) ).
fof(f13895,plain,
! [X0] :
( ~ v1_card_1(X0)
| ~ v1_finset_1(X0)
| m2_subset_1(sK544(X0),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f10219]) ).
fof(f13896,plain,
! [X0,X1] :
( ~ v1_card_1(X1)
| ~ r2_hidden(X0,X1)
| r2_hidden(k1_card_1(X0),X1) ),
inference(cnf_transformation,[],[f8841]) ).
fof(f13897,plain,
! [X0,X1] :
( ~ v1_card_1(X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k1_card_1(X0),X1) ),
inference(cnf_transformation,[],[f8843]) ).
fof(f13899,plain,
! [X0,X1] :
( ~ v1_card_1(X0)
| ~ v1_card_1(X1)
| r1_tarski(X1,X0)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10220]) ).
fof(f13901,plain,
! [X0,X1] :
( ~ v1_card_1(X0)
| ~ v1_card_1(X1)
| ~ r2_hidden(X0,X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10222]) ).
fof(f13902,plain,
! [X0,X1] :
( ~ v1_card_1(X0)
| ~ v1_card_1(X1)
| X0 = X1
| ~ r1_tarski(X0,X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10222]) ).
fof(f13903,plain,
v1_card_1(sK545),
inference(cnf_transformation,[],[f10223]) ).
fof(f13904,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_ordinal1(X0,X1) ),
inference(cnf_transformation,[],[f10224]) ).
fof(f13905,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r1_ordinal1(X0,X1)
| r1_xreal_0(X0,X1) ),
inference(cnf_transformation,[],[f10224]) ).
fof(f13906,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| r1_ordinal1(k1_card_1(X0),X0) ),
inference(cnf_transformation,[],[f8847]) ).
fof(f13907,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| r1_ordinal1(k3_tarski(X0),X0) ),
inference(cnf_transformation,[],[f8848]) ).
fof(f13908,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ v3_ordinal1(X1)
| ~ r1_ordinal1(X0,X1)
| r1_ordinal1(k1_ordinal1(X0),k1_ordinal1(X1)) ),
inference(cnf_transformation,[],[f10225]) ).
fof(f13909,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ v3_ordinal1(X1)
| ~ r1_ordinal1(k1_ordinal1(X0),k1_ordinal1(X1))
| r1_ordinal1(X0,X1) ),
inference(cnf_transformation,[],[f10225]) ).
fof(f13910,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| ~ r1_ordinal1(X0,X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10226]) ).
fof(f13911,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| ~ r1_tarski(X0,X1)
| r1_ordinal1(X0,X1) ),
inference(cnf_transformation,[],[f10226]) ).
fof(f13912,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| r1_ordinal1(X1,X0)
| r1_ordinal1(X0,X1) ),
inference(cnf_transformation,[],[f8853]) ).
fof(f13913,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| r1_ordinal1(X0,X0) ),
inference(cnf_transformation,[],[f8855]) ).
fof(f13914,plain,
! [X2,X0] :
( ~ v3_ordinal1(X2)
| r2_hidden(X2,X0)
| r1_ordinal1(sK546(X0),X2) ),
inference(cnf_transformation,[],[f10227]) ).
fof(f13915,plain,
! [X0] : ~ r2_hidden(sK546(X0),X0),
inference(cnf_transformation,[],[f10227]) ).
fof(f13916,plain,
! [X0] : v3_ordinal1(sK546(X0)),
inference(cnf_transformation,[],[f10227]) ).
fof(f13917,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ v3_ordinal1(X1)
| ~ r2_hidden(X0,k1_ordinal1(X1))
| r1_ordinal1(X0,X1) ),
inference(cnf_transformation,[],[f10228]) ).
fof(f13918,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ v3_ordinal1(X1)
| ~ r1_ordinal1(X0,X1)
| r2_hidden(X0,k1_ordinal1(X1)) ),
inference(cnf_transformation,[],[f10228]) ).
fof(f13919,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ v3_ordinal1(X1)
| ~ r2_hidden(X0,X1)
| r1_ordinal1(k1_ordinal1(X0),X1) ),
inference(cnf_transformation,[],[f10229]) ).
fof(f13920,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ v3_ordinal1(X1)
| ~ r1_ordinal1(k1_ordinal1(X0),X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10229]) ).
fof(f13921,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| v3_ordinal1(sK547(X0))
| k1_xboole_0 = X0
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10230]) ).
fof(f13922,plain,
! [X3,X0,X1] :
( ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X3)
| ~ r2_hidden(X3,X0)
| r1_ordinal1(sK547(X0),X3)
| k1_xboole_0 = X0
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10230]) ).
fof(f13923,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| r2_hidden(sK547(X0),X0)
| k1_xboole_0 = X0
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10230]) ).
fof(f13924,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ v3_ordinal1(X1)
| r2_hidden(X1,X0)
| r1_ordinal1(X0,X1) ),
inference(cnf_transformation,[],[f8863]) ).
fof(f13925,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,[],[f8865]) ).
fof(f13926,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,[],[f8867]) ).
fof(f13927,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,[],[f8869]) ).
fof(f13928,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,[],[f8871]) ).
fof(f13929,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,[],[f8873]) ).
fof(f13930,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,[],[f8873]) ).
fof(f13931,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,sK548(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f10231]) ).
fof(f13932,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(sK548(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10231]) ).
fof(f13933,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,[],[f10234]) ).
fof(f13934,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK549(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10234]) ).
fof(f13935,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK550(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10234]) ).
fof(f13936,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK551(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10234]) ).
fof(f13937,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| k2_rlvect_1(X0,k2_rlvect_1(X0,sK549(X0),sK550(X0)),sK551(X0)) != k2_rlvect_1(X0,sK549(X0),k2_rlvect_1(X0,sK550(X0),sK551(X0)))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10234]) ).
fof(f13938,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,[],[f10237]) ).
fof(f13939,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK552(X0),u1_struct_0(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10237]) ).
fof(f13940,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK553(X0),u1_struct_0(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10237]) ).
fof(f13941,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| k2_rlvect_1(X0,sK552(X0),sK553(X0)) != k2_rlvect_1(X0,sK553(X0),sK552(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10237]) ).
fof(f13942,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r2_hidden(X1,k15_qc_lang2(X2))
| r2_hidden(X0,k15_qc_lang2(X2))
| ~ r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f8881]) ).
fof(f13943,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r2_hidden(X1,k15_qc_lang2(X2))
| r2_hidden(X0,k15_qc_lang2(X2))
| ~ r3_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f8881]) ).
fof(f13944,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r2_hidden(X1,k15_qc_lang2(X2))
| r2_hidden(X0,k15_qc_lang2(X2))
| ~ r1_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f8881]) ).
fof(f13945,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r3_qc_lang2(X1,X2)
| ~ r1_qc_lang2(X0,X1)
| r3_qc_lang2(X0,X2) ),
inference(cnf_transformation,[],[f8883]) ).
fof(f13946,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r1_qc_lang2(X1,X2)
| ~ r3_qc_lang2(X0,X1)
| r3_qc_lang2(X0,X2) ),
inference(cnf_transformation,[],[f8883]) ).
fof(f13947,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r2_qc_lang2(X1,X2)
| ~ r1_qc_lang2(X0,X1)
| r3_qc_lang2(X0,X2) ),
inference(cnf_transformation,[],[f8883]) ).
fof(f13948,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r1_qc_lang2(X1,X2)
| ~ r2_qc_lang2(X0,X1)
| r3_qc_lang2(X0,X2) ),
inference(cnf_transformation,[],[f8883]) ).
fof(f13949,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r3_qc_lang2(X1,X2)
| ~ r2_qc_lang2(X0,X1)
| r3_qc_lang2(X0,X2) ),
inference(cnf_transformation,[],[f8883]) ).
fof(f13950,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r2_qc_lang2(X1,X2)
| ~ r3_qc_lang2(X0,X1)
| r3_qc_lang2(X0,X2) ),
inference(cnf_transformation,[],[f8883]) ).
fof(f13951,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_qc_lang2(X1,X0)
| ~ r3_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f8885]) ).
fof(f13952,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_qc_lang2(X1,X0)
| ~ r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f8887]) ).
fof(f13953,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| m1_subset_1(sK554(X1),k8_qc_lang1)
| ~ r3_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f10238]) ).
fof(f13954,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| r1_qc_lang2(sK554(X1),X1)
| ~ r3_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f10238]) ).
fof(f13955,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_qc_lang2(X0,X1)
| r3_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f8891]) ).
fof(f13956,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_qc_lang2(X0,X1)
| r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f8893]) ).
fof(f13957,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_xreal_0(k3_finseq_1(k10_qc_lang1(X1)),k3_finseq_1(k10_qc_lang1(X0)))
| ~ r1_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f8895]) ).
fof(f13958,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m2_subset_1(X2,k1_qc_lang1,k2_qc_lang1)
| ~ r1_qc_lang2(X0,k14_qc_lang1(X2,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f10239]) ).
fof(f13960,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r1_qc_lang2(X0,k13_qc_lang1(X1,X2))
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f10241]) ).
fof(f13963,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_qc_lang2(X0,k12_qc_lang1(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f10242]) ).
fof(f13965,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r1_qc_lang2(X0,k11_qc_lang1) ),
inference(cnf_transformation,[],[f8899]) ).
fof(f13966,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_qc_lang2(X0,X1)
| m2_subset_1(sK556(X0,X1),k1_qc_lang1,k2_qc_lang1)
| m1_subset_1(sK555(X0,X1),k8_qc_lang1)
| k12_qc_lang1(X0) = X1 ),
inference(cnf_transformation,[],[f10246]) ).
fof(f13967,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_qc_lang2(X0,X1)
| k14_qc_lang1(sK556(X0,X1),X0) = X1
| m1_subset_1(sK555(X0,X1),k8_qc_lang1)
| k12_qc_lang1(X0) = X1 ),
inference(cnf_transformation,[],[f10246]) ).
fof(f13968,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_qc_lang2(X0,X1)
| m2_subset_1(sK556(X0,X1),k1_qc_lang1,k2_qc_lang1)
| k13_qc_lang1(sK555(X0,X1),X0) = X1
| k13_qc_lang1(X0,sK555(X0,X1)) = X1
| k12_qc_lang1(X0) = X1 ),
inference(cnf_transformation,[],[f10246]) ).
fof(f13969,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r1_qc_lang2(X0,X1)
| k14_qc_lang1(sK556(X0,X1),X0) = X1
| k13_qc_lang1(sK555(X0,X1),X0) = X1
| k13_qc_lang1(X0,sK555(X0,X1)) = X1
| k12_qc_lang1(X0) = X1 ),
inference(cnf_transformation,[],[f10246]) ).
fof(f13974,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| r2_qc_lang2(X0,X0) ),
inference(cnf_transformation,[],[f8902]) ).
fof(f13975,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_qc_lang2(X0,X1)
| r1_tarski(k15_qc_lang2(X0),k15_qc_lang2(X1)) ),
inference(cnf_transformation,[],[f8904]) ).
fof(f13976,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_hidden(X0,k15_qc_lang2(X1))
| r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f8906]) ).
fof(f13977,plain,
! [X0,X1,X5] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| k15_qc_lang2(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_qc_lang2(sK559(X0,X5),X0) ),
inference(cnf_transformation,[],[f10249]) ).
fof(f13978,plain,
! [X0,X1,X5] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| k15_qc_lang2(X0) != X1
| ~ r2_hidden(X5,X1)
| sK559(X0,X5) = X5 ),
inference(cnf_transformation,[],[f10249]) ).
fof(f13979,plain,
! [X0,X1,X5] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| k15_qc_lang2(X0) != X1
| ~ r2_hidden(X5,X1)
| m1_subset_1(sK559(X0,X5),k8_qc_lang1) ),
inference(cnf_transformation,[],[f10249]) ).
fof(f13980,plain,
! [X0,X1,X6,X5] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| k15_qc_lang2(X0) != X1
| ~ r2_qc_lang2(X6,X0)
| X5 != X6
| ~ m1_subset_1(X6,k8_qc_lang1)
| r2_hidden(X5,X1) ),
inference(cnf_transformation,[],[f10249]) ).
fof(f13981,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| r2_hidden(sK557(X0,X1),X1)
| r2_qc_lang2(sK558(X0,X1),X0)
| k15_qc_lang2(X0) = X1 ),
inference(cnf_transformation,[],[f10249]) ).
fof(f13982,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| r2_hidden(sK557(X0,X1),X1)
| sK557(X0,X1) = sK558(X0,X1)
| k15_qc_lang2(X0) = X1 ),
inference(cnf_transformation,[],[f10249]) ).
fof(f13983,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| r2_hidden(sK557(X0,X1),X1)
| m1_subset_1(sK558(X0,X1),k8_qc_lang1)
| k15_qc_lang2(X0) = X1 ),
inference(cnf_transformation,[],[f10249]) ).
fof(f13984,plain,
! [X3,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_hidden(sK557(X0,X1),X1)
| ~ r2_qc_lang2(X3,X0)
| sK557(X0,X1) != X3
| ~ m1_subset_1(X3,k8_qc_lang1)
| k15_qc_lang2(X0) = X1 ),
inference(cnf_transformation,[],[f10249]) ).
fof(f13985,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_qc_lang2(X0,k11_qc_lang1)
| k11_qc_lang1 = X0 ),
inference(cnf_transformation,[],[f10250]) ).
fof(f13986,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| k11_qc_lang1 != X0
| r2_qc_lang2(X0,k11_qc_lang1) ),
inference(cnf_transformation,[],[f10250]) ).
fof(f13987,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m2_subset_1(X2,k1_qc_lang1,k2_qc_lang1)
| ~ r2_qc_lang2(k14_qc_lang1(X2,X0),X1)
| r3_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f8910]) ).
fof(f13988,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m2_subset_1(X2,k1_qc_lang1,k2_qc_lang1)
| ~ r2_qc_lang2(X0,X1)
| r3_qc_lang2(X0,k14_qc_lang1(X2,X1)) ),
inference(cnf_transformation,[],[f10251]) ).
fof(f13989,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m2_subset_1(X2,k1_qc_lang1,k2_qc_lang1)
| ~ r3_qc_lang2(X0,k14_qc_lang1(X2,X1))
| r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f10251]) ).
fof(f13990,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r2_qc_lang2(k13_qc_lang1(X0,X1),X2)
| r3_qc_lang2(X1,X2) ),
inference(cnf_transformation,[],[f8913]) ).
fof(f13991,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r2_qc_lang2(k13_qc_lang1(X0,X1),X2)
| r3_qc_lang2(X0,X2) ),
inference(cnf_transformation,[],[f8913]) ).
fof(f13992,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r2_qc_lang2(X0,X2)
| r3_qc_lang2(X0,k13_qc_lang1(X1,X2)) ),
inference(cnf_transformation,[],[f10253]) ).
fof(f13993,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r2_qc_lang2(X0,X1)
| r3_qc_lang2(X0,k13_qc_lang1(X1,X2)) ),
inference(cnf_transformation,[],[f10253]) ).
fof(f13994,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r3_qc_lang2(X0,k13_qc_lang1(X1,X2))
| r2_qc_lang2(X0,X2)
| r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f10253]) ).
fof(f13995,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_qc_lang2(k12_qc_lang1(X0),X1)
| r3_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f8916]) ).
fof(f13996,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_qc_lang2(X0,X1)
| r3_qc_lang2(X0,k12_qc_lang1(X1)) ),
inference(cnf_transformation,[],[f10254]) ).
fof(f13997,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r3_qc_lang2(X0,k12_qc_lang1(X1))
| r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f10254]) ).
fof(f13998,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_qc_lang2(X1,X0)
| ~ r3_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f8919]) ).
fof(f13999,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_qc_lang2(X1,X0)
| ~ r2_qc_lang2(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8921]) ).
fof(f14000,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ r2_qc_lang2(X1,X2)
| ~ r2_qc_lang2(X0,X1)
| r2_qc_lang2(X0,X2) ),
inference(cnf_transformation,[],[f8923]) ).
fof(f14002,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r3_qc_lang2(X0,X1)
| r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f10256]) ).
fof(f14003,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| X0 = X1
| ~ r2_qc_lang2(X0,X1)
| r3_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f10256]) ).
fof(f14004,plain,
~ v1_xboole_0(k8_qc_lang1),
inference(cnf_transformation,[],[f3783]) ).
fof(f14005,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| k13_qc_lang1(X0,X1) = k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(np__2,np__0)),k10_qc_lang1(X0)),k10_qc_lang1(X1)) ),
inference(cnf_transformation,[],[f8925]) ).
fof(f14006,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| k12_qc_lang1(X0) = k7_finseq_1(k9_finseq_1(k4_tarski(np__1,np__0)),k10_qc_lang1(X0)) ),
inference(cnf_transformation,[],[f8926]) ).
fof(f14007,plain,
k9_finseq_1(k4_tarski(np__0,np__0)) = k11_qc_lang1,
inference(cnf_transformation,[],[f3727]) ).
fof(f14008,plain,
! [X0] : v1_funct_1(k9_finseq_1(X0)),
inference(cnf_transformation,[],[f3375]) ).
fof(f14009,plain,
! [X0] : v1_relat_1(k9_finseq_1(X0)),
inference(cnf_transformation,[],[f3375]) ).
fof(f14010,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finseq_1(sK560(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f10257]) ).
fof(f14011,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(sK560(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f10257]) ).
fof(f14012,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_relat_1(sK560(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f10257]) ).
fof(f14013,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k7_finseq_1(sK560(X0),k9_finseq_1(sK561(X0))) = X0
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f10257]) ).
fof(f14014,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(k7_finseq_1(k9_finseq_1(X0),X1),np__1) = X0 ),
inference(cnf_transformation,[],[f8930]) ).
fof(f14015,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k9_finseq_1(X0) != X1
| k1_funct_1(X1,np__1) = X0 ),
inference(cnf_transformation,[],[f10259]) ).
fof(f14017,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(X1,np__1) != X0
| np__1 != k3_finseq_1(X1)
| k9_finseq_1(X0) = X1 ),
inference(cnf_transformation,[],[f10259]) ).
fof(f14019,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k9_finseq_1(X0) != X1
| np__1 = k3_finseq_1(X1) ),
inference(cnf_transformation,[],[f10261]) ).
fof(f14020,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_tarski(X0) != k2_relat_1(X1)
| np__1 != k3_finseq_1(X1)
| k9_finseq_1(X0) = X1 ),
inference(cnf_transformation,[],[f10261]) ).
fof(f14021,plain,
! [X0] : k1_tarski(k4_tarski(np__1,X0)) = k9_finseq_1(X0),
inference(cnf_transformation,[],[f3312]) ).
fof(f14022,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k9_finseq_1(X0) != X1
| k1_funct_1(X1,np__1) = X0 ),
inference(cnf_transformation,[],[f10263]) ).
fof(f14023,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k9_finseq_1(X0) != X1
| k1_relat_1(X1) = k2_finseq_1(np__1) ),
inference(cnf_transformation,[],[f10263]) ).
fof(f14024,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(X1,np__1) != X0
| k1_relat_1(X1) != k2_finseq_1(np__1)
| k9_finseq_1(X0) = X1 ),
inference(cnf_transformation,[],[f10263]) ).
fof(f14025,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,k6_rlvect_1(X0,X1,X2)) = k6_rlvect_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8938]) ).
fof(f14027,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) != k6_rlvect_1(X0,X1,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f8940]) ).
fof(f14029,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,k5_rlvect_1(X0,X2))
| X1 = X2 ),
inference(cnf_transformation,[],[f8940]) ).
fof(f14030,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))
| k6_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1 ),
inference(cnf_transformation,[],[f8942]) ).
fof(f14032,plain,
! [X2,X3,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(X3,u1_struct_0(X0))
| k6_rlvect_1(X0,X1,k2_rlvect_1(X0,X3,X2)) = k6_rlvect_1(X0,k6_rlvect_1(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f8944]) ).
fof(f14033,plain,
! [X2,X3,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(X3,u1_struct_0(X0))
| k5_rlvect_1(X0,k6_rlvect_1(X0,k5_rlvect_1(X0,X2),X3)) = k2_rlvect_1(X0,X3,X2) ),
inference(cnf_transformation,[],[f8944]) ).
fof(f14035,plain,
! [X2,X3,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(X3,u1_struct_0(X0))
| k6_rlvect_1(X0,X2,X3) = k5_rlvect_1(X0,k2_rlvect_1(X0,X3,k5_rlvect_1(X0,X2))) ),
inference(cnf_transformation,[],[f8944]) ).
fof(f14037,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_rlvect_1(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8946]) ).
fof(f14038,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,k6_rlvect_1(X0,X1,X2)) = k2_rlvect_1(X0,X2,k5_rlvect_1(X0,X1)) ),
inference(cnf_transformation,[],[f8948]) ).
fof(f14039,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)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k6_rlvect_1(X0,k5_rlvect_1(X0,X2),X1) = k6_rlvect_1(X0,k5_rlvect_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f8950]) ).
fof(f14040,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)) = k6_rlvect_1(X0,k5_rlvect_1(X0,X2),X1) ),
inference(cnf_transformation,[],[f8952]) ).
fof(f14041,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,X1) != k5_rlvect_1(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f8954]) ).
fof(f14042,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))
| k5_rlvect_1(X0,k5_rlvect_1(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f8956]) ).
fof(f14043,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))
| k5_rlvect_1(X0,X1) = k6_rlvect_1(X0,k1_rlvect_1(X0),X1) ),
inference(cnf_transformation,[],[f8958]) ).
fof(f14044,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))
| k6_rlvect_1(X0,X1,X2) = k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X2)) ),
inference(cnf_transformation,[],[f8960]) ).
fof(f14045,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_numbers)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k3_rlvect_1(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8962]) ).
fof(f14046,plain,
l2_rlvect_1(sK562),
inference(cnf_transformation,[],[f10264]) ).
fof(f14047,plain,
! [X0] :
( ~ l2_rlvect_1(X0)
| l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8963]) ).
fof(f14048,plain,
~ v3_struct_0(sK563),
inference(cnf_transformation,[],[f10265]) ).
fof(f14049,plain,
l2_rlvect_1(sK563),
inference(cnf_transformation,[],[f10265]) ).
fof(f14050,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| r1_rfinseq(X0,X0) ),
inference(cnf_transformation,[],[f8965]) ).
fof(f14051,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1)
| r1_rfinseq(X1,X0) ),
inference(cnf_transformation,[],[f8967]) ).
fof(f14052,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finset_1(X1)
| r1_rfinseq(k7_relat_1(X0,X1),sK564(X0,X1)) ),
inference(cnf_transformation,[],[f10266]) ).
fof(f14053,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finset_1(X1)
| v1_finseq_1(sK564(X0,X1)) ),
inference(cnf_transformation,[],[f10266]) ).
fof(f14054,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finset_1(X1)
| v1_funct_1(sK564(X0,X1)) ),
inference(cnf_transformation,[],[f10266]) ).
fof(f14055,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finset_1(X1)
| v1_relat_1(sK564(X0,X1)) ),
inference(cnf_transformation,[],[f10266]) ).
fof(f14056,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_rfinseq(X0,X1)
| k5_relat_1(sK565(X0,X1),X1) = X0 ),
inference(cnf_transformation,[],[f10269]) ).
fof(f14057,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_rfinseq(X0,X1)
| m2_relset_1(sK565(X0,X1),k4_finseq_1(X1),k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f10269]) ).
fof(f14058,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_rfinseq(X0,X1)
| v3_funct_2(sK565(X0,X1),k4_finseq_1(X1),k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f10269]) ).
fof(f14059,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_rfinseq(X0,X1)
| v1_funct_2(sK565(X0,X1),k4_finseq_1(X1),k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f10269]) ).
fof(f14060,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_rfinseq(X0,X1)
| v1_funct_1(sK565(X0,X1)) ),
inference(cnf_transformation,[],[f10269]) ).
fof(f14061,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)
| k5_relat_1(X2,X1) != X0
| ~ m2_relset_1(X2,k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v3_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v1_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v1_funct_1(X2)
| r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f10269]) ).
fof(f14062,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_rfinseq(k7_finseq_1(X0,X1),k7_finseq_1(X1,X0)) ),
inference(cnf_transformation,[],[f8973]) ).
fof(f14063,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)
| ~ r1_rfinseq(X0,X1)
| r1_rfinseq(k7_finseq_1(X0,X2),k7_finseq_1(X1,X2)) ),
inference(cnf_transformation,[],[f10270]) ).
fof(f14064,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)
| ~ r1_rfinseq(k7_finseq_1(X0,X2),k7_finseq_1(X1,X2))
| r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f10270]) ).
fof(f14065,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| k1_card_1(k1_relat_1(X0)) = k1_card_1(k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f8977]) ).
fof(f14066,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X0) != k1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| k5_relat_1(sK566(X0,X1),X1) = X0 ),
inference(cnf_transformation,[],[f10273]) ).
fof(f14067,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X0) != k1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| m2_relset_1(sK566(X0,X1),k1_relat_1(X0),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f10273]) ).
fof(f14068,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X0) != k1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| v3_funct_2(sK566(X0,X1),k1_relat_1(X0),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f10273]) ).
fof(f14069,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X0) != k1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| v1_funct_2(sK566(X0,X1),k1_relat_1(X0),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f10273]) ).
fof(f14070,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X0) != k1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| v1_funct_1(sK566(X0,X1)) ),
inference(cnf_transformation,[],[f10273]) ).
fof(f14071,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X0) != k1_relat_1(X1)
| k5_relat_1(X2,X1) != X0
| ~ m2_relset_1(X2,k1_relat_1(X0),k1_relat_1(X0))
| ~ v3_funct_2(X2,k1_relat_1(X0),k1_relat_1(X0))
| ~ v1_funct_2(X2,k1_relat_1(X0),k1_relat_1(X0))
| ~ v1_funct_1(X2)
| r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f10273]) ).
fof(f14073,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X2),X0)
| ~ r1_tarski(k2_relat_1(X1),X0)
| m1_subset_1(sK567(X0,X1,X2),X0)
| r1_rfinseq(X1,X2) ),
inference(cnf_transformation,[],[f10276]) ).
fof(f14074,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X2),X0)
| ~ r1_tarski(k2_relat_1(X1),X0)
| k1_card_1(k10_relat_1(X1,k1_tarski(sK567(X0,X1,X2)))) != k1_card_1(k10_relat_1(X2,k1_tarski(sK567(X0,X1,X2))))
| r1_rfinseq(X1,X2) ),
inference(cnf_transformation,[],[f10276]) ).
fof(f14075,plain,
! [X3,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| k1_card_1(k10_relat_1(X0,X3)) = k1_card_1(k10_relat_1(X1,X3)) ),
inference(cnf_transformation,[],[f10279]) ).
fof(f14076,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_card_1(k10_relat_1(X0,sK568(X0,X1))) != k1_card_1(k10_relat_1(X1,sK568(X0,X1)))
| r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f10279]) ).
fof(f14077,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| k5_relat_1(sK569(X0,X1),X1) = X0 ),
inference(cnf_transformation,[],[f10282]) ).
fof(f14078,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| v2_funct_1(sK569(X0,X1)) ),
inference(cnf_transformation,[],[f10282]) ).
fof(f14079,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| k1_relat_1(X1) = k2_relat_1(sK569(X0,X1)) ),
inference(cnf_transformation,[],[f10282]) ).
fof(f14080,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| k1_relat_1(X0) = k1_relat_1(sK569(X0,X1)) ),
inference(cnf_transformation,[],[f10282]) ).
fof(f14081,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| v1_funct_1(sK569(X0,X1)) ),
inference(cnf_transformation,[],[f10282]) ).
fof(f14082,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| v1_relat_1(sK569(X0,X1)) ),
inference(cnf_transformation,[],[f10282]) ).
fof(f14083,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k5_relat_1(X2,X1) != X0
| ~ v2_funct_1(X2)
| k1_relat_1(X1) != k2_relat_1(X2)
| k1_relat_1(X0) != k1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f10282]) ).
fof(f14084,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)
| ~ r1_rfinseq(X0,X2)
| ~ r1_rfinseq(X0,X1)
| r1_rfinseq(X1,X2) ),
inference(cnf_transformation,[],[f8987]) ).
fof(f14085,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| k2_relat_1(X0) = k2_relat_1(X1) ),
inference(cnf_transformation,[],[f8989]) ).
fof(f14086,plain,
! [X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| k1_card_1(k10_relat_1(X1,k1_tarski(X3))) = k1_card_1(k10_relat_1(X0,k1_tarski(X3))) ),
inference(cnf_transformation,[],[f10285]) ).
fof(f14087,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k1_card_1(k10_relat_1(X0,k1_tarski(sK570(X0,X1)))) != k1_card_1(k10_relat_1(X1,k1_tarski(sK570(X0,X1))))
| r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f10285]) ).
fof(f14088,plain,
v3_realset2(sK571),
inference(cnf_transformation,[],[f10286]) ).
fof(f14089,plain,
v4_group_1(sK571),
inference(cnf_transformation,[],[f10286]) ).
fof(f14090,plain,
v3_group_1(sK571),
inference(cnf_transformation,[],[f10286]) ).
fof(f14091,plain,
v2_group_1(sK571),
inference(cnf_transformation,[],[f10286]) ).
fof(f14092,plain,
~ v3_struct_0(sK571),
inference(cnf_transformation,[],[f10286]) ).
fof(f14093,plain,
l1_group_1(sK571),
inference(cnf_transformation,[],[f10286]) ).
fof(f14094,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,[],[f8992]) ).
fof(f14095,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,[],[f10289]) ).
fof(f14096,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,[],[f10289]) ).
fof(f14097,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(sK572(X0,X1),u1_struct_0(X0))
| k2_group_1(X0) = X1 ),
inference(cnf_transformation,[],[f10289]) ).
fof(f14098,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK572(X0,X1) != k1_group_1(X0,X1,sK572(X0,X1))
| sK572(X0,X1) != k1_group_1(X0,sK572(X0,X1),X1)
| k2_group_1(X0) = X1 ),
inference(cnf_transformation,[],[f10289]) ).
fof(f14099,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,sK574(X0),X4) = X4 ),
inference(cnf_transformation,[],[f10292]) ).
fof(f14100,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,sK574(X0)) = X4 ),
inference(cnf_transformation,[],[f10292]) ).
fof(f14101,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| m1_subset_1(sK574(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10292]) ).
fof(f14102,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK573(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v2_group_1(X0) ),
inference(cnf_transformation,[],[f10292]) ).
fof(f14103,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sK573(X0,X1) != k1_group_1(X0,X1,sK573(X0,X1))
| sK573(X0,X1) != k1_group_1(X0,sK573(X0,X1),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v2_group_1(X0) ),
inference(cnf_transformation,[],[f10292]) ).
fof(f14105,plain,
v4_group_1(sK575),
inference(cnf_transformation,[],[f10293]) ).
fof(f14106,plain,
v3_group_1(sK575),
inference(cnf_transformation,[],[f10293]) ).
fof(f14107,plain,
v2_group_1(sK575),
inference(cnf_transformation,[],[f10293]) ).
fof(f14108,plain,
v1_group_1(sK575),
inference(cnf_transformation,[],[f10293]) ).
fof(f14109,plain,
~ v3_struct_0(sK575),
inference(cnf_transformation,[],[f10293]) ).
fof(f14110,plain,
l1_group_1(sK575),
inference(cnf_transformation,[],[f10293]) ).
fof(f14111,plain,
v4_group_1(sK576),
inference(cnf_transformation,[],[f10294]) ).
fof(f14112,plain,
v3_group_1(sK576),
inference(cnf_transformation,[],[f10294]) ).
fof(f14113,plain,
v2_group_1(sK576),
inference(cnf_transformation,[],[f10294]) ).
fof(f14114,plain,
v1_group_1(sK576),
inference(cnf_transformation,[],[f10294]) ).
fof(f14115,plain,
~ v3_struct_0(sK576),
inference(cnf_transformation,[],[f10294]) ).
fof(f14116,plain,
l1_group_1(sK576),
inference(cnf_transformation,[],[f10294]) ).
fof(f14117,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v2_group_1(X0) ),
inference(cnf_transformation,[],[f8998]) ).
fof(f14119,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,[],[f8999]) ).
fof(f14120,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,[],[f8999]) ).
fof(f14121,plain,
! [X0] :
( ~ l1_group_1(X0)
| v1_funct_1(u1_group_1(X0)) ),
inference(cnf_transformation,[],[f8999]) ).
fof(f14122,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,[],[f9001]) ).
fof(f14123,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,[],[f9003]) ).
fof(f14124,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,[],[f9005]) ).
fof(f14125,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f9007]) ).
fof(f14126,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,[],[f9009]) ).
fof(f14127,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,[],[f9009]) ).
fof(f14130,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,[],[f9011]) ).
fof(f14131,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,[],[f9013]) ).
fof(f14133,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,[],[f10296]) ).
fof(f14134,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,[],[f10296]) ).
fof(f14136,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,[],[f9019]) ).
fof(f14137,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,[],[f9019]) ).
fof(f14138,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,[],[f9019]) ).
fof(f14139,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,[],[f9019]) ).
fof(f14144,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)
| sP39(X4,X3,X2,X1,X0)
| m1_subset_1(sK578(X0,X1,X2,X3,X4),X0) ),
inference(cnf_transformation,[],[f10300]) ).
fof(f14145,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)
| sP39(X4,X3,X2,X1,X0)
| m1_subset_1(sK579(X0,X1,X2,X3,X4),X0) ),
inference(cnf_transformation,[],[f10300]) ).
fof(f14146,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)
| sP39(X4,X3,X2,X1,X0)
| k8_funct_2(X0,X1,X3,sK578(X0,X1,X2,X3,X4)) = k8_funct_2(X0,X1,X3,sK579(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f10300]) ).
fof(f14147,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)
| sP39(X4,X3,X2,X1,X0)
| k8_funct_2(X0,X2,X4,sK578(X0,X1,X2,X3,X4)) != k8_funct_2(X0,X2,X4,sK579(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f10300]) ).
fof(f14149,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(sK580(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,[],[f10301]) ).
fof(f14150,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(sK581(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,[],[f10301]) ).
fof(f14151,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,sK580(X0,X2,X3,X6),sK581(X0,X2,X3,X6))) != k2_binop_1(X0,X0,X0,X3,k8_funct_2(k5_finsub_1(X2),X0,X6,sK580(X0,X2,X3,X6)),k8_funct_2(k5_finsub_1(X2),X0,X6,sK581(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,[],[f10301]) ).
fof(f14152,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,[],[f9027]) ).
fof(f14153,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,[],[f9029]) ).
fof(f14154,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,[],[f9029]) ).
fof(f14155,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,[],[f9029]) ).
fof(f14156,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,[],[f9031]) ).
fof(f14157,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,[],[f9033]) ).
fof(f14158,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,[],[f9035]) ).
fof(f14161,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,[],[f9039]) ).
fof(f14162,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,[],[f9041]) ).
fof(f14163,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,[],[f9043]) ).
fof(f14164,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,[],[f9045]) ).
fof(f14165,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,[],[f9047]) ).
fof(f14166,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,[],[f9049]) ).
fof(f14167,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,[],[f9051]) ).
fof(f14168,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,[],[f9053]) ).
fof(f14169,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,[],[f9055]) ).
fof(f14170,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k1_tarski(X1) = k2_setwiseo(X0,X1) ),
inference(cnf_transformation,[],[f9057]) ).
fof(f14171,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,[],[f9059]) ).
fof(f14172,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,[],[f9061]) ).
fof(f14173,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,[],[f9063]) ).
fof(f14174,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,[],[f9063]) ).
fof(f14175,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,[],[f9063]) ).
fof(f14176,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,[],[f9065]) ).
fof(f14177,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(sK582(X0,X1,X2,X3,X4),X0)
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3) ),
inference(cnf_transformation,[],[f10302]) ).
fof(f14178,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(sK582(X0,X1,X2,X3,X4),X2)
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3) ),
inference(cnf_transformation,[],[f10302]) ).
fof(f14179,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,sK582(X0,X1,X2,X3,X4)),X3)
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3) ),
inference(cnf_transformation,[],[f10302]) ).
fof(f14180,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,[],[f9069]) ).
fof(f14181,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,[],[f9071]) ).
fof(f14182,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,[],[f9073]) ).
fof(f14183,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,[],[f9075]) ).
fof(f14184,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(sK583(X0,X2,X3,X4),X0)
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f10303]) ).
fof(f14185,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,sK583(X0,X2,X3,X4)) = X4
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f10303]) ).
fof(f14186,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| r2_hidden(sK583(X0,X2,X3,X4),X2)
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f10303]) ).
fof(f14187,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,sK584(X0,X2,X3,X4)) = X4
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f10304]) ).
fof(f14188,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| r2_hidden(sK584(X0,X2,X3,X4),X2)
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f10304]) ).
fof(f14189,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| r2_hidden(sK584(X0,X2,X3,X4),X0)
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f10304]) ).
fof(f14190,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,[],[f9081]) ).
fof(f14191,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,[],[f9083]) ).
fof(f14192,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,[],[f9085]) ).
fof(f14193,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,[],[f9087]) ).
fof(f14194,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,[],[f9087]) ).
fof(f14195,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,[],[f9089]) ).
fof(f14196,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,[],[f9091]) ).
fof(f14197,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,[],[f9093]) ).
fof(f14198,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,[],[f9093]) ).
fof(f14199,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,[],[f9093]) ).
fof(f14200,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,[],[f9093]) ).
fof(f14201,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,[],[f9095]) ).
fof(f14202,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,[],[f9095]) ).
fof(f14203,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,[],[f9097]) ).
fof(f14204,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,[],[f9099]) ).
fof(f14205,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,[],[f9101]) ).
fof(f14206,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,[],[f9103]) ).
fof(f14207,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,[],[f9105]) ).
fof(f14213,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(sK586(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f10309]) ).
fof(f14214,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,[],[f9111]) ).
fof(f14215,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,[],[f9111]) ).
fof(f14216,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,[],[f9111]) ).
fof(f14217,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,[],[f9113]) ).
fof(f14218,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,[],[f10312]) ).
fof(f14219,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,[],[f10312]) ).
fof(f14220,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(sK587(X0,X1,X2),u1_struct_0(X0))
| m1_lattice4(X2,X0,X1) ),
inference(cnf_transformation,[],[f10312]) ).
fof(f14221,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(sK588(X0,X1,X2),u1_struct_0(X0))
| m1_lattice4(X2,X0,X1) ),
inference(cnf_transformation,[],[f10312]) ).
fof(f14222,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,sK587(X0,X1,X2),sK588(X0,X1,X2))) != k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK587(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK588(X0,X1,X2)))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,sK587(X0,X1,X2),sK588(X0,X1,X2))) != k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK587(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK588(X0,X1,X2)))
| m1_lattice4(X2,X0,X1) ),
inference(cnf_transformation,[],[f10312]) ).
fof(f14223,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u1_cat_1(X0)) ),
inference(cnf_transformation,[],[f9116]) ).
fof(f14224,plain,
l1_cat_1(sK589),
inference(cnf_transformation,[],[f10313]) ).
fof(f14225,plain,
v2_cat_1(sK590),
inference(cnf_transformation,[],[f10314]) ).
fof(f14226,plain,
l1_cat_1(sK590),
inference(cnf_transformation,[],[f10314]) ).
fof(f14227,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u2_cat_1(X0)) ),
inference(cnf_transformation,[],[f9117]) ).
fof(f14228,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,[],[f9119]) ).
fof(f14229,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,[],[f9119]) ).
fof(f14230,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,[],[f9120]) ).
fof(f14231,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,[],[f9120]) ).
fof(f14232,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v1_funct_1(u1_rlvect_1(X0)) ),
inference(cnf_transformation,[],[f9120]) ).
fof(f14233,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,[],[f9122]) ).
fof(f14234,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,[],[f9124]) ).
fof(f14235,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,[],[f9126]) ).
fof(f14236,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,[],[f9128]) ).
fof(f14237,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,[],[f9130]) ).
fof(f14238,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,[],[f9130]) ).
fof(f14239,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,[],[f9132]) ).
fof(f14240,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,[],[f9134]) ).
fof(f14241,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,[],[f9136]) ).
fof(f14245,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,[],[f9140]) ).
fof(f14246,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,[],[f9142]) ).
fof(f14247,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,[],[f10316]) ).
fof(f14248,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,[],[f10316]) ).
fof(f14249,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,[],[f10316]) ).
fof(f14250,plain,
! [X2,X0,X1] :
( ~ sP41(X0,X1,X2)
| k8_relat_1(X1,X2) != X0
| sP40(X2,X1,X0) ),
inference(cnf_transformation,[],[f10318]) ).
fof(f14251,plain,
! [X2,X0,X1] :
( ~ sP41(X0,X1,X2)
| ~ sP40(X2,X1,X0)
| k8_relat_1(X1,X2) = X0 ),
inference(cnf_transformation,[],[f10318]) ).
fof(f14262,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| sP41(X1,X0,X2) ),
inference(cnf_transformation,[],[f9371]) ).
fof(f14263,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(k8_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f9148]) ).
fof(f14265,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k8_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f9149]) ).
fof(f14266,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,[],[f9150]) ).
fof(f14267,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,[],[f9151]) ).
fof(f14268,plain,
! [X0] : k1_xboole_0 = k8_relat_1(X0,k1_xboole_0),
inference(cnf_transformation,[],[f846]) ).
fof(f14269,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 = k8_relat_1(k1_xboole_0,X0) ),
inference(cnf_transformation,[],[f9152]) ).
fof(f14270,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,[],[f9153]) ).
fof(f14271,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,[],[f9154]) ).
fof(f14272,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,[],[f9155]) ).
fof(f14273,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,[],[f9157]) ).
fof(f14274,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,[],[f9159]) ).
fof(f14275,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,[],[f9161]) ).
fof(f14276,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,[],[f9163]) ).
fof(f14277,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,[],[f9165]) ).
fof(f14278,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k8_relat_1(X0,X1) = k8_relat_1(X0,k8_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f9166]) ).
fof(f14279,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,[],[f9167]) ).
fof(f14280,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k8_relat_1(k2_relat_1(X0),X0) = X0 ),
inference(cnf_transformation,[],[f9168]) ).
fof(f14281,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| k8_relat_1(X0,X1) = X1 ),
inference(cnf_transformation,[],[f9170]) ).
fof(f14282,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,[],[f9171]) ).
fof(f14283,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,[],[f9172]) ).
fof(f14284,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,[],[f9173]) ).
fof(f14285,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,[],[f9175]) ).
fof(f14286,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,[],[f9176]) ).
fof(f14287,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k8_relat_1(X0,X1)),k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f9177]) ).
fof(f14288,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k8_relat_1(X0,X1),X1) ),
inference(cnf_transformation,[],[f9178]) ).
fof(f14289,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k8_relat_1(X0,X1)),X0) ),
inference(cnf_transformation,[],[f9179]) ).
fof(f14290,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,[],[f10324]) ).
fof(f14291,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,[],[f10324]) ).
fof(f14292,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,[],[f10324]) ).
fof(f14293,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,[],[f10328]) ).
fof(f14294,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,[],[f10328]) ).
fof(f14295,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,[],[f10328]) ).
fof(f14296,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK593(X0,X1,X2),sK594(X0,X1,X2)),X2)
| r2_hidden(k4_tarski(sK593(X0,X1,X2),sK594(X0,X1,X2)),X1)
| k8_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10328]) ).
fof(f14297,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK593(X0,X1,X2),sK594(X0,X1,X2)),X2)
| r2_hidden(sK594(X0,X1,X2),X0)
| k8_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10328]) ).
fof(f14298,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(sK593(X0,X1,X2),sK594(X0,X1,X2)),X2)
| ~ r2_hidden(k4_tarski(sK593(X0,X1,X2),sK594(X0,X1,X2)),X1)
| ~ r2_hidden(sK594(X0,X1,X2),X0)
| k8_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10328]) ).
fof(f14299,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,[],[f9183]) ).
fof(f14300,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,[],[f9185]) ).
fof(f14303,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,[],[f9189]) ).
fof(f14304,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,[],[f9189]) ).
fof(f14305,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_relat_2(X0)
| k2_relat_1(X0) = k2_relat_1(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f9191]) ).
fof(f14306,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_relat_2(X0)
| k1_relat_1(X0) = k1_relat_1(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f9191]) ).
fof(f14307,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_relat_2(X0)
| v1_relat_2(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f9193]) ).
fof(f14308,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| v1_relat_2(X0) ),
inference(cnf_transformation,[],[f9195]) ).
fof(f14309,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v8_relat_2(X0)
| v8_relat_2(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f9197]) ).
fof(f14310,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v3_relat_2(X0)
| v3_relat_2(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f9199]) ).
fof(f14311,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v3_relat_2(X0)
| k4_relat_1(X0) = X0 ),
inference(cnf_transformation,[],[f10329]) ).
fof(f14312,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(X0) != X0
| v3_relat_2(X0) ),
inference(cnf_transformation,[],[f10329]) ).
fof(f14313,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,[],[f9202]) ).
fof(f14314,plain,
! [X0] :
( ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f9204]) ).
fof(f14316,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(X0)) = X0 ),
inference(cnf_transformation,[],[f9205]) ).
fof(f14317,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_relat_1(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f9206]) ).
fof(f14318,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,[],[f9207]) ).
fof(f14319,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,[],[f9208]) ).
fof(f14320,plain,
! [X0] : k6_relat_1(X0) = k4_relat_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f778]) ).
fof(f14321,plain,
k1_xboole_0 = k4_relat_1(k1_xboole_0),
inference(cnf_transformation,[],[f770]) ).
fof(f14322,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,[],[f9209]) ).
fof(f14323,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,[],[f9210]) ).
fof(f14324,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,[],[f9211]) ).
fof(f14325,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,[],[f9212]) ).
fof(f14326,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) = k2_relat_1(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f9213]) ).
fof(f14327,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) = k1_relat_1(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f9213]) ).
fof(f14328,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,[],[f10332]) ).
fof(f14329,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,[],[f10332]) ).
fof(f14330,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r2_hidden(k4_tarski(sK595(X0,X1),sK596(X0,X1)),X1)
| r2_hidden(k4_tarski(sK596(X0,X1),sK595(X0,X1)),X0)
| k4_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f10332]) ).
fof(f14331,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k4_tarski(sK595(X0,X1),sK596(X0,X1)),X1)
| ~ r2_hidden(k4_tarski(sK596(X0,X1),sK595(X0,X1)),X0)
| k4_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f10332]) ).
fof(f14332,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f9215]) ).
fof(f14333,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f9215]) ).
fof(f14334,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,[],[f10334]) ).
fof(f14335,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,[],[f10334]) ).
fof(f14336,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,[],[f10334]) ).
fof(f14337,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,[],[f10337]) ).
fof(f14338,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(sK597(X0,X1,X2),X0)
| r2_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10337]) ).
fof(f14339,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)
| sK597(X0,X1,X2) != k2_binop_1(X0,X0,X0,X2,sK597(X0,X1,X2),X1)
| r2_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10337]) ).
fof(f14340,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,[],[f9221]) ).
fof(f14341,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,[],[f10338]) ).
fof(f14342,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,[],[f10338]) ).
fof(f14344,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,[],[f10339]) ).
fof(f14345,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,[],[f10341]) ).
fof(f14346,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,[],[f10341]) ).
fof(f14347,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,[],[f10341]) ).
fof(f14348,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,[],[f10344]) ).
fof(f14349,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(sK598(X0,X1,X2),X0)
| r2_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10344]) ).
fof(f14350,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)
| sK598(X0,X1,X2) != k1_binop_1(X2,sK598(X0,X1,X2),X1)
| r2_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10344]) ).
fof(f14351,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,[],[f10346]) ).
fof(f14352,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,[],[f10346]) ).
fof(f14353,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,[],[f10346]) ).
fof(f14354,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,[],[f10349]) ).
fof(f14355,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(sK599(X0,X1,X2),X0)
| r1_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10349]) ).
fof(f14356,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)
| sK599(X0,X1,X2) != k2_binop_1(X0,X0,X0,X2,X1,sK599(X0,X1,X2))
| r1_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10349]) ).
fof(f14358,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,[],[f10350]) ).
fof(f14359,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,[],[f10353]) ).
fof(f14360,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(sK600(X0,X1,X2),X0)
| r1_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10353]) ).
fof(f14361,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)
| sK600(X0,X1,X2) != k1_binop_1(X2,X1,sK600(X0,X1,X2))
| r1_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10353]) ).
fof(f14363,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,[],[f9239]) ).
fof(f14364,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,[],[f9239]) ).
fof(f14366,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k3_funct_2(X0,X0,k6_partfun1(X0),X1) = X1 ),
inference(cnf_transformation,[],[f9240]) ).
fof(f14370,plain,
! [X0] : v8_relat_2(k6_partfun1(X0)),
inference(cnf_transformation,[],[f3400]) ).
fof(f14371,plain,
! [X0] : v3_relat_2(k6_partfun1(X0)),
inference(cnf_transformation,[],[f3400]) ).
fof(f14372,plain,
! [X0,X1] : k1_funct_4(k6_partfun1(X0),k6_partfun1(X1)) = k6_partfun1(k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f2118]) ).
fof(f14373,plain,
! [X0,X1] :
( ~ r1_tarski(k6_partfun1(X0),k6_partfun1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10354]) ).
fof(f14374,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k6_partfun1(X0),k6_partfun1(X1)) ),
inference(cnf_transformation,[],[f10354]) ).
fof(f14375,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,[],[f9244]) ).
fof(f14376,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,[],[f9244]) ).
fof(f14377,plain,
! [X0] : k6_relat_1(X0) = k6_partfun1(X0),
inference(cnf_transformation,[],[f1560]) ).
fof(f14378,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f1559]) ).
fof(f14379,plain,
! [X0] : v1_partfun1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f1559]) ).
fof(f14380,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(sK601(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f10355]) ).
fof(f14381,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(sK601(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10355]) ).
fof(f14382,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(sK601(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10355]) ).
fof(f14383,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(sK601(X0,X1)) ),
inference(cnf_transformation,[],[f10355]) ).
fof(f14384,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(sK601(X0,X1)) ),
inference(cnf_transformation,[],[f10355]) ).
fof(f14385,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(sK601(X0,X1)) ),
inference(cnf_transformation,[],[f10355]) ).
fof(f14386,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(sK601(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10355]) ).
fof(f14387,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,[],[f9248]) ).
fof(f14388,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,[],[f9248]) ).
fof(f14390,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,[],[f9252]) ).
fof(f14391,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,[],[f9252]) ).
fof(f14392,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,[],[f9252]) ).
fof(f14394,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,[],[f10356]) ).
fof(f14395,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,[],[f10356]) ).
fof(f14396,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(sK602(X0,X2,X3,X4),X0)
| k1_funct_4(X3,k2_partfun1(X0,X1,X2,X4)) = X3 ),
inference(cnf_transformation,[],[f10357]) ).
fof(f14397,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(sK602(X0,X2,X3,X4),X4)
| k1_funct_4(X3,k2_partfun1(X0,X1,X2,X4)) = X3 ),
inference(cnf_transformation,[],[f10357]) ).
fof(f14398,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,sK602(X0,X2,X3,X4)) != k1_funct_1(X3,sK602(X0,X2,X3,X4))
| k1_funct_4(X3,k2_partfun1(X0,X1,X2,X4)) = X3 ),
inference(cnf_transformation,[],[f10357]) ).
fof(f14399,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,[],[f9258]) ).
fof(f14400,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,[],[f9260]) ).
fof(f14401,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(sK603(X0,X2,X3,X4),X0)
| k1_funct_4(X4,k2_partfun1(X0,X1,X3,X2)) = X4 ),
inference(cnf_transformation,[],[f10358]) ).
fof(f14402,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(sK603(X0,X2,X3,X4),X2)
| k1_funct_4(X4,k2_partfun1(X0,X1,X3,X2)) = X4 ),
inference(cnf_transformation,[],[f10358]) ).
fof(f14403,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,sK603(X0,X2,X3,X4)) != k1_funct_1(X4,sK603(X0,X2,X3,X4))
| k1_funct_4(X4,k2_partfun1(X0,X1,X3,X2)) = X4 ),
inference(cnf_transformation,[],[f10358]) ).
fof(f14404,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,[],[f9264]) ).
fof(f14405,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,[],[f9266]) ).
fof(f14406,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,[],[f9268]) ).
fof(f14407,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,[],[f9268]) ).
fof(f14408,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,[],[f9268]) ).
fof(f14409,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,[],[f10361]) ).
fof(f14410,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(sK604(X0,X2,X3,X4),X0)
| k2_partfun1(X0,X1,X3,X2) = k2_partfun1(X0,X1,X4,X2) ),
inference(cnf_transformation,[],[f10361]) ).
fof(f14411,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(sK604(X0,X2,X3,X4),X2)
| k2_partfun1(X0,X1,X3,X2) = k2_partfun1(X0,X1,X4,X2) ),
inference(cnf_transformation,[],[f10361]) ).
fof(f14412,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,sK604(X0,X2,X3,X4)) != k1_funct_1(X4,sK604(X0,X2,X3,X4))
| k2_partfun1(X0,X1,X3,X2) = k2_partfun1(X0,X1,X4,X2) ),
inference(cnf_transformation,[],[f10361]) ).
fof(f14413,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,[],[f9272]) ).
fof(f14414,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,[],[f9274]) ).
fof(f14415,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,[],[f9276]) ).
fof(f14416,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,[],[f9276]) ).
fof(f14417,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,[],[f9276]) ).
fof(f14418,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,[],[f9276]) ).
fof(f14419,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,[],[f9276]) ).
fof(f14421,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,[],[f9278]) ).
fof(f14422,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,[],[f9280]) ).
fof(f14423,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,[],[f9280]) ).
fof(f14424,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,[],[f9282]) ).
fof(f14425,plain,
l3_vectsp_1(sK605),
inference(cnf_transformation,[],[f10362]) ).
fof(f14426,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v3_realset2(X0)
| u1_struct_0(X0) = k1_tarski(sK606(X0)) ),
inference(cnf_transformation,[],[f10365]) ).
fof(f14427,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k1_tarski(X1) != u1_struct_0(X0)
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f10365]) ).
fof(f14428,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,[],[f10368]) ).
fof(f14429,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(sK607(X0),u1_struct_0(X0))
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f10368]) ).
fof(f14430,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(sK608(X0),u1_struct_0(X0))
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f10368]) ).
fof(f14431,plain,
! [X0] :
( ~ l1_struct_0(X0)
| sK607(X0) != sK608(X0)
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f10368]) ).
fof(f14432,plain,
v3_realset2(sK609),
inference(cnf_transformation,[],[f10369]) ).
fof(f14433,plain,
l1_struct_0(sK609),
inference(cnf_transformation,[],[f10369]) ).
fof(f14434,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,[],[f9287]) ).
fof(f14435,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,[],[f9287]) ).
fof(f14436,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,[],[f9287]) ).
fof(f14437,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,[],[f10371]) ).
fof(f14438,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,[],[f10371]) ).
fof(f14439,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,[],[f10371]) ).
fof(f14440,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,[],[f10371]) ).
fof(f14441,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,[],[f10371]) ).
fof(f14442,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,[],[f10371]) ).
fof(f14443,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,[],[f9291]) ).
fof(f14444,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ m1_filter_0(X2,X0)
| k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k5_filter_0(X0,X1,X2)) ),
inference(cnf_transformation,[],[f9293]) ).
fof(f14445,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,[],[f9295]) ).
fof(f14446,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,[],[f9295]) ).
fof(f14447,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,[],[f9297]) ).
fof(f14448,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,[],[f9299]) ).
fof(f14449,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,[],[f10375]) ).
fof(f14450,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,[],[f10375]) ).
fof(f14451,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(sK610(X0,X1,X2),X0)
| ~ r1_tarski(X1,X2)
| k3_filter_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10375]) ).
fof(f14452,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,sK610(X0,X1,X2))
| ~ r1_tarski(X1,X2)
| k3_filter_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10375]) ).
fof(f14453,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,sK610(X0,X1,X2))
| ~ r1_tarski(X1,X2)
| k3_filter_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10375]) ).
fof(f14454,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),
inference(definition_unfolding,[],[f12405,f12402]) ).
fof(f14455,plain,
! [X0] : k9_finseq_1(X0) = k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))),
inference(definition_unfolding,[],[f14021,f12402,f14454]) ).
fof(f14456,plain,
! [X0] : k1_ordinal1(X0) = k2_xboole_0(X0,k2_tarski(X0,X0)),
inference(definition_unfolding,[],[f12647,f12402]) ).
fof(f14457,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)),
inference(definition_unfolding,[],[f12403,f12402,f12402]) ).
fof(f14458,plain,
! [X0,X1] : k5_xboole_0(X0,X1) = k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f13504,f10623]) ).
fof(f14459,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k5_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f13505,f10623]) ).
fof(f14460,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_xboole_0(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3)),
inference(definition_unfolding,[],[f12718,f12716,f12402]) ).
fof(f14461,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,[],[f10390,f10623]) ).
fof(f14462,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,[],[f10394,f10623]) ).
fof(f14463,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(sK45(X0,X1,X2),k4_xboole_0(sK45(X0,X1,X2),k2_pre_topc(X1))) = X2 ),
inference(definition_unfolding,[],[f10391,f10623]) ).
fof(f14464,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,[],[f10407,f10623]) ).
fof(f14465,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r2_hidden(sK50(X0,X1),X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f10431,f12649]) ).
fof(f14466,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(sK50(X0,X1),X0)
| np__0 = X1 ),
inference(definition_unfolding,[],[f10430,f12649]) ).
fof(f14467,plain,
! [X0] : m1_subset_1(np__0,k1_zfmisc_1(X0)),
inference(definition_unfolding,[],[f10438,f12649]) ).
fof(f14468,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,[],[f10585,f10623,f10623]) ).
fof(f14471,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| v1_finset_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f10588,f10623]) ).
fof(f14472,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,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,[],[f10589,f10623]) ).
fof(f14473,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_xboole_0(X0,X1) = sK76(X0,X1)
| r2_hidden(sK75(X0,X1),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))) ),
inference(definition_unfolding,[],[f10592,f10623]) ).
fof(f14474,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_relat_1(sK76(X0,X1))
| r2_hidden(sK75(X0,X1),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))) ),
inference(definition_unfolding,[],[f10591,f10623]) ).
fof(f14475,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(sK76(X0,X1))
| r2_hidden(sK75(X0,X1),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))) ),
inference(definition_unfolding,[],[f10590,f10623]) ).
fof(f14476,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,[],[f10596,f10623,f10623]) ).
fof(f14477,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,[],[f10597,f10623,f10623]) ).
fof(f14478,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,[],[f10598,f10623]) ).
fof(f14479,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,[],[f10599,f10623,f10623]) ).
fof(f14480,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f10600,f10623]) ).
fof(f14483,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,[],[f10603,f10623]) ).
fof(f14484,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,[],[f10604,f10623,f10623,f10623]) ).
fof(f14487,plain,
! [X2,X3,X0,X1,X4] :
( k2_tarski(k2_tarski(sK77(X0,X1,X2,X3,X4),sK78(X0,X1,X2,X3,X4)),k2_tarski(sK77(X0,X1,X2,X3,X4),sK77(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,[],[f10609,f10623,f14454]) ).
fof(f14488,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK77(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,[],[f10608,f10623,f10623]) ).
fof(f14489,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK78(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,[],[f10607,f10623,f10623]) ).
fof(f14490,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,[],[f10610,f10623,f10623]) ).
fof(f14491,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k2_tarski(X0,X0) = k4_xboole_0(X1,k4_xboole_0(X1,k2_tarski(X0,X0))) ),
inference(definition_unfolding,[],[f10611,f12402,f10623,f12402]) ).
fof(f14492,plain,
! [X0,X1] :
( k2_tarski(X1,X1) != k4_xboole_0(X0,k4_xboole_0(X0,k2_tarski(X1,X1)))
| r2_hidden(X1,X0) ),
inference(definition_unfolding,[],[f10612,f12402,f10623,f12402]) ).
fof(f14493,plain,
! [X0,X1] :
( k2_tarski(X0,X0) != k4_xboole_0(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)))
| X0 = X1 ),
inference(definition_unfolding,[],[f10613,f12402,f10623,f12402,f12402]) ).
fof(f14494,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,[],[f10614,f10623,f10623,f10623]) ).
fof(f14497,plain,
! [X2,X0,X1] : k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)) = k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))),
inference(definition_unfolding,[],[f10617,f10623]) ).
fof(f14498,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k2_xboole_0(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,[],[f10618,f10623]) ).
fof(f14499,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X2))),
inference(definition_unfolding,[],[f10619,f10623]) ).
fof(f14500,plain,
! [X0,X1] : k2_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X0,X1)) = X0,
inference(definition_unfolding,[],[f10620,f10623]) ).
fof(f14501,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,[],[f10621,f10623,f10623,f10623]) ).
fof(f14502,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,[],[f10622,f10623,f10623]) ).
fof(f14503,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f10624,f10623]) ).
fof(f14504,plain,
! [X2,X0,X1] : r1_tarski(k2_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X0,k4_xboole_0(X0,X2))),k2_xboole_0(X1,X2)),
inference(definition_unfolding,[],[f10625,f10623,f10623]) ).
fof(f14505,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,k4_xboole_0(X2,k4_xboole_0(X2,X1))) = k4_xboole_0(k2_xboole_0(X0,X2),k4_xboole_0(k2_xboole_0(X0,X2),X1)) ),
inference(definition_unfolding,[],[f10626,f10623,f10623]) ).
fof(f14506,plain,
! [X2,X0,X1] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k2_xboole_0(X0,X2)),
inference(definition_unfolding,[],[f10627,f10623]) ).
fof(f14507,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X0 ),
inference(definition_unfolding,[],[f10628,f10623]) ).
fof(f14508,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,[],[f10629,f10623,f10623]) ).
fof(f14509,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,[],[f10630,f10623,f10623]) ).
fof(f14510,plain,
! [X2,X0,X1] : k2_xboole_0(k2_xboole_0(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(k2_xboole_0(X0,X1),k4_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X1,X2))),k4_xboole_0(k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X1,X2))),k2_xboole_0(X2,X0))),
inference(definition_unfolding,[],[f10631,f10623,f10623,f10623,f10623,f10623]) ).
fof(f14511,plain,
! [X2,X0,X1] : k2_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) = k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X0,X2))),
inference(definition_unfolding,[],[f10632,f10623,f10623]) ).
fof(f14512,plain,
! [X2,X0,X1] : k2_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,k2_xboole_0(X1,X2))),
inference(definition_unfolding,[],[f10633,f10623,f10623,f10623]) ).
fof(f14513,plain,
! [X0,X1] : k2_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))) = X0,
inference(definition_unfolding,[],[f10634,f10623]) ).
fof(f14515,plain,
! [X2,X0,X1] :
( ~ r1_tarski(sK79(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,[],[f10638,f10623]) ).
fof(f14516,plain,
! [X2,X0,X1] :
( r1_tarski(sK79(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,[],[f10637,f10623]) ).
fof(f14517,plain,
! [X2,X0,X1] :
( r1_tarski(sK79(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,[],[f10636,f10623]) ).
fof(f14518,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,[],[f10639,f10623]) ).
fof(f14521,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,[],[f10642,f10623,f10623,f10623,f10623]) ).
fof(f14522,plain,
! [X0] : np__0 = k4_xboole_0(X0,k4_xboole_0(X0,np__0)),
inference(definition_unfolding,[],[f10643,f12649,f10623,f12649]) ).
fof(f14524,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(definition_unfolding,[],[f10645,f10623,f10623]) ).
fof(f14525,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK80(X0,X1,X2),X2)
| ~ r2_hidden(sK80(X0,X1,X2),X1)
| ~ r2_hidden(sK80(X0,X1,X2),X0)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 ),
inference(definition_unfolding,[],[f10651,f10623]) ).
fof(f14526,plain,
! [X2,X0,X1] :
( r2_hidden(sK80(X0,X1,X2),X2)
| r2_hidden(sK80(X0,X1,X2),X0)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 ),
inference(definition_unfolding,[],[f10650,f10623]) ).
fof(f14527,plain,
! [X2,X0,X1] :
( r2_hidden(sK80(X0,X1,X2),X2)
| r2_hidden(sK80(X0,X1,X2),X1)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 ),
inference(definition_unfolding,[],[f10649,f10623]) ).
fof(f14528,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,[],[f10648,f10623]) ).
fof(f14530,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,[],[f10646,f10623]) ).
fof(f14531,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,[],[f10673,f12649]) ).
fof(f14532,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,[],[f10680,f12649]) ).
fof(f14534,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,[],[f10691,f12649]) ).
fof(f14535,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,[],[f10690,f12649]) ).
fof(f14537,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,[],[f10688,f12649]) ).
fof(f14538,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,[],[f10687,f12649]) ).
fof(f14539,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,[],[f10710,f12649]) ).
fof(f14540,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,[],[f10709,f12649]) ).
fof(f14541,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X0,X1))
| np__0 = X0 ),
inference(definition_unfolding,[],[f10712,f12649]) ).
fof(f14542,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f10711,f12649]) ).
fof(f14543,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,[],[f10717,f12649]) ).
fof(f14544,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,[],[f10716,f12649]) ).
fof(f14546,plain,
! [X0] :
( ~ r1_tarski(X0,np__0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10719,f12649,f12649]) ).
fof(f14547,plain,
! [X0] : r1_tarski(np__0,X0),
inference(definition_unfolding,[],[f10720,f12649]) ).
fof(f14548,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,[],[f10729,f10623]) ).
fof(f14549,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,[],[f10735,f10623]) ).
fof(f14554,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10774,f12649]) ).
fof(f14556,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X2)
| ~ r2_hidden(X1,X2)
| r1_tarski(k2_xboole_0(X0,k2_tarski(X1,X1)),X2) ),
inference(definition_unfolding,[],[f10816,f12402]) ).
fof(f14557,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_xboole_0(X0,k2_tarski(X1,X1)),X2)
| r2_hidden(X1,X2) ),
inference(definition_unfolding,[],[f10815,f12402]) ).
fof(f14560,plain,
! [X2,X0,X1] :
( X0 != X2
| r2_hidden(X0,k2_xboole_0(X1,k2_tarski(X2,X2))) ),
inference(definition_unfolding,[],[f10818,f12402]) ).
fof(f14561,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k2_xboole_0(X1,k2_tarski(X2,X2)))
| X0 = X2
| r2_hidden(X0,X1) ),
inference(definition_unfolding,[],[f10817,f12402]) ).
fof(f14562,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X1)
| r2_hidden(X2,X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,k2_tarski(X2,X2))) ),
inference(definition_unfolding,[],[f10820,f12402]) ).
fof(f14565,plain,
! [X0,X1] : r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(k2_tarski(np__0,np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),
inference(definition_unfolding,[],[f10835,f12402,f12649]) ).
fof(f14567,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k2_xboole_0(k2_tarski(X0,X0),X1) = X1 ),
inference(definition_unfolding,[],[f10838,f12402]) ).
fof(f14569,plain,
! [X2,X0,X1] :
( np__0 = X2
| np__0 = X1
| X1 = X2
| k2_xboole_0(X1,X2) != k2_tarski(X0,X0) ),
inference(definition_unfolding,[],[f10840,f12402,f12649,f12649]) ).
fof(f14579,plain,
! [X0,X1] : k4_xboole_0(X0,k2_xboole_0(X0,X1)) = np__0,
inference(definition_unfolding,[],[f10851,f12649]) ).
fof(f14580,plain,
! [X0,X1] :
( k2_xboole_0(X0,X1) != np__0
| np__0 = X0 ),
inference(definition_unfolding,[],[f10859,f12649,f12649]) ).
fof(f14581,plain,
! [X0] : k2_xboole_0(X0,np__0) = X0,
inference(definition_unfolding,[],[f10873,f12649]) ).
fof(f14582,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,[],[f10955,f12649,f12649]) ).
fof(f14583,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,[],[f10954,f12649,f12649]) ).
fof(f14585,plain,
! [X0,X1] :
( np__0 != X0
| k2_zfmisc_1(X0,X1) = np__0 ),
inference(definition_unfolding,[],[f10960,f12649,f12649]) ).
fof(f14586,plain,
! [X0,X1] :
( np__0 != X1
| k2_zfmisc_1(X0,X1) = np__0 ),
inference(definition_unfolding,[],[f10959,f12649,f12649]) ).
fof(f14587,plain,
! [X0,X1] :
( k2_zfmisc_1(X0,X1) != np__0
| np__0 = X1
| np__0 = X0 ),
inference(definition_unfolding,[],[f10958,f12649,f12649,f12649]) ).
fof(f14589,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,[],[f10965,f12649,f12649]) ).
fof(f14590,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,[],[f10964,f12649,f12649]) ).
fof(f14591,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,[],[f10967,f12649,f12649]) ).
fof(f14592,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,np__0)
| ~ v1_funct_1(X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f10968,f12649,f12649]) ).
fof(f14593,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,[],[f10969,f12649,f12649]) ).
fof(f14594,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,np__0,X0)
| ~ v1_funct_1(X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f10970,f12649,f12649]) ).
fof(f14596,plain,
! [X0,X1] : m2_relset_1(np__0,X0,X1),
inference(definition_unfolding,[],[f10971,f12649]) ).
fof(f14598,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,[],[f10973,f12649]) ).
fof(f14599,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| ~ m2_relset_1(X2,X1,np__0)
| np__0 = X2 ),
inference(definition_unfolding,[],[f10975,f12649,f12649]) ).
fof(f14600,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,np__0,X1)
| np__0 = X2 ),
inference(definition_unfolding,[],[f10976,f12649,f12649]) ).
fof(f14601,plain,
! [X0,X1] : m2_relset_1(np__0,X0,X1),
inference(definition_unfolding,[],[f10977,f12649]) ).
fof(f14602,plain,
! [X0] :
( sK120(X0) != sK121(X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10984,f12649]) ).
fof(f14603,plain,
! [X0] :
( k1_relat_1(sK120(X0)) = X0
| np__0 = X0 ),
inference(definition_unfolding,[],[f10983,f12649]) ).
fof(f14604,plain,
! [X0] :
( k1_relat_1(sK121(X0)) = X0
| np__0 = X0 ),
inference(definition_unfolding,[],[f10982,f12649]) ).
fof(f14605,plain,
! [X0] :
( v1_relat_1(sK121(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f10981,f12649]) ).
fof(f14606,plain,
! [X0] :
( v1_funct_1(sK121(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f10980,f12649]) ).
fof(f14607,plain,
! [X0] :
( v1_relat_1(sK120(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f10979,f12649]) ).
fof(f14608,plain,
! [X0] :
( v1_funct_1(sK120(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f10978,f12649]) ).
fof(f14609,plain,
! [X0] :
( r2_hidden(sK122(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10986,f12649]) ).
fof(f14610,plain,
! [X2,X0] :
( np__0 != X0
| ~ r2_hidden(X2,X0) ),
inference(definition_unfolding,[],[f10985,f12649]) ).
fof(f14611,plain,
! [X0] :
( r2_hidden(sK124(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10992,f12649]) ).
fof(f14612,plain,
! [X2,X3,X0,X6,X4,X5] :
( ~ r2_hidden(X6,sK124(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,[],[f10991,f12649]) ).
fof(f14613,plain,
! [X0] :
( r2_hidden(sK125(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10994,f12649]) ).
fof(f14614,plain,
! [X2,X3,X0,X4,X5] :
( ~ r2_hidden(X5,sK125(X0))
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10993,f12649]) ).
fof(f14615,plain,
! [X0] :
( r2_hidden(sK126(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10996,f12649]) ).
fof(f14616,plain,
! [X2,X3,X0,X4] :
( ~ r2_hidden(X4,sK126(X0))
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10995,f12649]) ).
fof(f14617,plain,
! [X0] :
( r2_hidden(sK127(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10998,f12649]) ).
fof(f14618,plain,
! [X2,X3,X0] :
( ~ r2_hidden(X3,sK127(X0))
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10997,f12649]) ).
fof(f14619,plain,
! [X0] :
( r2_hidden(sK128(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11000,f12649]) ).
fof(f14620,plain,
! [X2,X0] :
( ~ r2_hidden(X2,sK128(X0))
| r1_xboole_0(X2,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10999,f12649]) ).
fof(f14621,plain,
! [X0] :
( r2_hidden(sK129(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11002,f12649]) ).
fof(f14622,plain,
! [X0] :
( r1_xboole_0(sK129(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11001,f12649]) ).
fof(f14623,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,[],[f11004,f12649]) ).
fof(f14624,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,[],[f11006,f12649]) ).
fof(f14625,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,[],[f11005,f12649]) ).
fof(f14626,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,[],[f11008,f12649]) ).
fof(f14627,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,[],[f11007,f12649]) ).
fof(f14628,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,[],[f11010,f12649]) ).
fof(f14629,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,[],[f11009,f12649]) ).
fof(f14630,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,[],[f11011,f12649]) ).
fof(f14631,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| r1_xboole_0(k2_zfmisc_1(k2_tarski(X0,X0),X2),k2_zfmisc_1(k2_tarski(X1,X1),X3)) ),
inference(definition_unfolding,[],[f11013,f12402,f12402]) ).
fof(f14632,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| r1_xboole_0(k2_zfmisc_1(X2,k2_tarski(X0,X0)),k2_zfmisc_1(X3,k2_tarski(X1,X1))) ),
inference(definition_unfolding,[],[f11012,f12402,f12402]) ).
fof(f14634,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| r1_xboole_0(k2_tarski(X0,X0),X1) ),
inference(definition_unfolding,[],[f11018,f12402]) ).
fof(f14636,plain,
! [X0,X1] :
( X0 = X1
| r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) ),
inference(definition_unfolding,[],[f11021,f12402,f12402]) ).
fof(f14637,plain,
! [X0,X1] :
( X0 != X1
| ~ r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) ),
inference(definition_unfolding,[],[f11022,f12402,f12402]) ).
fof(f14638,plain,
! [X0,X1] : r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1),
inference(definition_unfolding,[],[f11026,f10623]) ).
fof(f14640,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,k2_xboole_0(X1,X2))) ),
inference(definition_unfolding,[],[f11039,f10623,f10623]) ).
fof(f14641,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,[],[f11040,f10623]) ).
fof(f14642,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,[],[f11041,f10623,f10623]) ).
fof(f14643,plain,
! [X0,X1] :
( ~ r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X1)
| r1_xboole_0(X0,X1) ),
inference(definition_unfolding,[],[f11042,f10623]) ).
fof(f14645,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11052,f12649]) ).
fof(f14647,plain,
! [X0] :
( ~ r1_xboole_0(X0,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11053,f12649]) ).
fof(f14648,plain,
! [X0] : r1_xboole_0(X0,np__0),
inference(definition_unfolding,[],[f11055,f12649]) ).
fof(f14649,plain,
! [X0,X1] :
( r2_hidden(sK130(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r1_xboole_0(X0,X1) ),
inference(definition_unfolding,[],[f11064,f10623]) ).
fof(f14650,plain,
! [X3,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| ~ r2_hidden(X3,k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f11063,f10623]) ).
fof(f14651,plain,
! [X0,X1] :
( k4_xboole_0(X0,k4_xboole_0(X0,X1)) != np__0
| r1_xboole_0(X0,X1) ),
inference(definition_unfolding,[],[f11069,f12649,f10623]) ).
fof(f14652,plain,
! [X0,X1] :
( ~ r1_xboole_0(X0,X1)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = np__0 ),
inference(definition_unfolding,[],[f11068,f12649,f10623]) ).
fof(f14653,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| r2_hidden(sK134(X0,X1),X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f11088,f12649]) ).
fof(f14654,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| m1_subset_1(sK134(X0,X1),X0)
| np__0 = X1 ),
inference(definition_unfolding,[],[f11087,f12649]) ).
fof(f14655,plain,
k2_tarski(np__0,np__0) = k5_finsub_1(np__0),
inference(definition_unfolding,[],[f11100,f12402,f12649,f12649]) ).
fof(f14656,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X0,X1))
| v1_finset_1(X1)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11129,f12649]) ).
fof(f14657,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X1,X0))
| v1_finset_1(X1)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11130,f12649]) ).
fof(f14658,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| r2_hidden(sK140(X1),X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f11133,f12649]) ).
fof(f14659,plain,
! [X3,X0,X1] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r1_tarski(sK140(X1),X3)
| ~ r2_hidden(X3,X1)
| sK140(X1) = X3
| np__0 = X1 ),
inference(definition_unfolding,[],[f11132,f12649]) ).
fof(f14663,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_tarski(X0,X0) != k1_relat_1(X3)
| m2_relset_1(X3,X1,X2) ),
inference(definition_unfolding,[],[f11164,f12402]) ).
fof(f14664,plain,
! [X0,X1] :
( k1_relat_1(sK146(X0,X1)) = X1
| np__0 = X0 ),
inference(definition_unfolding,[],[f11185,f12649]) ).
fof(f14665,plain,
! [X0,X1] :
( r1_tarski(k2_relat_1(sK146(X0,X1)),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11184,f12649]) ).
fof(f14666,plain,
! [X0,X1] :
( v1_relat_1(sK146(X0,X1))
| np__0 = X0 ),
inference(definition_unfolding,[],[f11183,f12649]) ).
fof(f14667,plain,
! [X0,X1] :
( v1_funct_1(sK146(X0,X1))
| np__0 = X0 ),
inference(definition_unfolding,[],[f11182,f12649]) ).
fof(f14668,plain,
! [X0,X1] :
( k1_relat_1(sK146(X0,X1)) = X1
| np__0 != X1 ),
inference(definition_unfolding,[],[f11181,f12649]) ).
fof(f14669,plain,
! [X0,X1] :
( r1_tarski(k2_relat_1(sK146(X0,X1)),X0)
| np__0 != X1 ),
inference(definition_unfolding,[],[f11180,f12649]) ).
fof(f14670,plain,
! [X0,X1] :
( v1_relat_1(sK146(X0,X1))
| np__0 != X1 ),
inference(definition_unfolding,[],[f11179,f12649]) ).
fof(f14671,plain,
! [X0,X1] :
( v1_funct_1(sK146(X0,X1))
| np__0 != X1 ),
inference(definition_unfolding,[],[f11178,f12649]) ).
fof(f14672,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k2_tarski(X0,X0) != k2_relat_1(X2)
| k2_tarski(X0,X0) != k2_relat_1(X1)
| k1_relat_1(X1) != k1_relat_1(X2)
| X1 = X2 ),
inference(definition_unfolding,[],[f11186,f12402,f12402]) ).
fof(f14673,plain,
! [X0,X1] :
( np__0 = X0
| v1_relat_1(sK147(X0,X1)) ),
inference(definition_unfolding,[],[f11190,f12649]) ).
fof(f14674,plain,
! [X0,X1] :
( np__0 = X0
| v1_funct_1(sK147(X0,X1)) ),
inference(definition_unfolding,[],[f11189,f12649]) ).
fof(f14675,plain,
! [X0,X1] :
( np__0 = X0
| k1_relat_1(sK147(X0,X1)) = X0 ),
inference(definition_unfolding,[],[f11188,f12649]) ).
fof(f14676,plain,
! [X0,X1] :
( np__0 = X0
| k2_relat_1(sK147(X0,X1)) = k2_tarski(X1,X1) ),
inference(definition_unfolding,[],[f11187,f12402,f12649]) ).
fof(f14677,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_tarski(X0,X0) != k1_relat_1(X1)
| k2_relat_1(X1) = k2_tarski(k1_funct_1(X1,X0),k1_funct_1(X1,X0)) ),
inference(definition_unfolding,[],[f11191,f12402,f12402]) ).
fof(f14678,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) != np__0
| k1_relat_1(X0) = np__0 ),
inference(definition_unfolding,[],[f11202,f12649,f12649]) ).
fof(f14679,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) != np__0
| k2_relat_1(X0) = np__0 ),
inference(definition_unfolding,[],[f11201,f12649,f12649]) ).
fof(f14680,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) != np__0
| np__0 = X0 ),
inference(definition_unfolding,[],[f11204,f12649,f12649]) ).
fof(f14681,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) != np__0
| np__0 = X0 ),
inference(definition_unfolding,[],[f11203,f12649,f12649]) ).
fof(f14682,plain,
np__0 = k1_relat_1(np__0),
inference(definition_unfolding,[],[f11206,f12649,f12649]) ).
fof(f14684,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(sK154(X0,X1,X2,X3),sK155(X0,X1,X2,X3)),k2_tarski(sK154(X0,X1,X2,X3),sK154(X0,X1,X2,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK154(X0,X1,X2,X3),sK155(X0,X1,X2,X3)),k2_tarski(sK154(X0,X1,X2,X3),sK154(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,[],[f11217,f14454,f14454]) ).
fof(f14685,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(sK156(X0,X1,X3,X4),sK157(X0,X1,X3,X4)),k2_tarski(sK156(X0,X1,X3,X4),sK156(X0,X1,X3,X4)))) != k1_funct_1(X4,k2_tarski(k2_tarski(sK156(X0,X1,X3,X4),sK157(X0,X1,X3,X4)),k2_tarski(sK156(X0,X1,X3,X4),sK156(X0,X1,X3,X4))))
| X3 = X4 ),
inference(definition_unfolding,[],[f11220,f14454,f14454]) ).
fof(f14686,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_tarski(X3,X3))),X2)
| np__0 = X2 ),
inference(definition_unfolding,[],[f11221,f12649,f14454]) ).
fof(f14687,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(sK158(X0,X1,X3,X4),sK159(X0,X1,X3,X4)),k2_tarski(sK158(X0,X1,X3,X4),sK158(X0,X1,X3,X4)))) != k1_funct_1(X4,k2_tarski(k2_tarski(sK158(X0,X1,X3,X4),sK159(X0,X1,X3,X4)),k2_tarski(sK158(X0,X1,X3,X4),sK158(X0,X1,X3,X4))))
| X3 = X4 ),
inference(definition_unfolding,[],[f11224,f14454,f14454]) ).
fof(f14688,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,k2_tarski(X1,X1))
| ~ v1_funct_2(X3,X0,k2_tarski(X1,X1))
| ~ v1_funct_1(X3)
| ~ r2_hidden(X2,X0)
| k1_funct_1(X3,X2) = X1 ),
inference(definition_unfolding,[],[f11227,f12402,f12402]) ).
fof(f14689,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_tarski(X0,X0),X1)
| ~ v1_funct_2(X2,k2_tarski(X0,X0),X1)
| ~ v1_funct_1(X2)
| np__0 = X1
| k2_relat_1(X2) = k2_tarski(k1_funct_1(X2,X0),k1_funct_1(X2,X0)) ),
inference(definition_unfolding,[],[f11228,f12402,f12649,f12402,f12402]) ).
fof(f14690,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_tarski(X0,X0),X1)
| ~ v1_funct_2(X2,k2_tarski(X0,X0),X1)
| ~ v1_funct_1(X2)
| np__0 = X1
| r2_hidden(k1_funct_1(X2,X0),X1) ),
inference(definition_unfolding,[],[f11229,f12649,f12402,f12402]) ).
fof(f14691,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| r2_hidden(sK163(X0,X1,X2),X1)
| k2_relat_1(X2) = X1
| np__0 = X1 ),
inference(definition_unfolding,[],[f11235,f12649]) ).
fof(f14692,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) != sK163(X0,X1,X2)
| ~ r2_hidden(X4,X0)
| k2_relat_1(X2) = X1
| np__0 = X1 ),
inference(definition_unfolding,[],[f11234,f12649]) ).
fof(f14693,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,[],[f11236,f12649]) ).
fof(f14694,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,[],[f11237,f12649]) ).
fof(f14695,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_tarski(X0,X0),X1)
| ~ v1_funct_1(X2)
| r1_tarski(k2_relat_1(X2),k2_tarski(k1_funct_1(X2,X0),k1_funct_1(X2,X0))) ),
inference(definition_unfolding,[],[f11238,f12402,f12402]) ).
fof(f14696,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_tarski(X0,X0)),X2) ),
inference(definition_unfolding,[],[f11241,f14454]) ).
fof(f14698,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2)
| k1_funct_1(X2,X0) = X1 ),
inference(definition_unfolding,[],[f11239,f14454]) ).
fof(f14702,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,[],[f11242,f12649]) ).
fof(f14703,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,[],[f11255,f12649]) ).
fof(f14704,plain,
! [X0] :
( ~ v1_relat_1(X0)
| np__0 = k5_relat_1(np__0,X0) ),
inference(definition_unfolding,[],[f11308,f12649,f12649]) ).
fof(f14705,plain,
! [X0] :
( ~ v1_relat_1(X0)
| np__0 = k5_relat_1(X0,np__0) ),
inference(definition_unfolding,[],[f11307,f12649,f12649]) ).
fof(f14706,plain,
! [X2,X0,X1,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK170(X0,X1,X2),sK171(X0,X1,X2)),k2_tarski(sK170(X0,X1,X2),sK170(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X5,sK171(X0,X1,X2)),k2_tarski(X5,X5)),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK170(X0,X1,X2),X5),k2_tarski(sK170(X0,X1,X2),sK170(X0,X1,X2))),X0)
| k5_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f11324,f14454,f14454,f14454]) ).
fof(f14707,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK170(X0,X1,X2),sK171(X0,X1,X2)),k2_tarski(sK170(X0,X1,X2),sK170(X0,X1,X2))),X2)
| r2_hidden(k2_tarski(k2_tarski(sK170(X0,X1,X2),sK172(X0,X1,X2)),k2_tarski(sK170(X0,X1,X2),sK170(X0,X1,X2))),X0)
| k5_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f11323,f14454,f14454]) ).
fof(f14708,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK170(X0,X1,X2),sK171(X0,X1,X2)),k2_tarski(sK170(X0,X1,X2),sK170(X0,X1,X2))),X2)
| r2_hidden(k2_tarski(k2_tarski(sK172(X0,X1,X2),sK171(X0,X1,X2)),k2_tarski(sK172(X0,X1,X2),sK172(X0,X1,X2))),X1)
| k5_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f11322,f14454,f14454]) ).
fof(f14709,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_tarski(X9,X9)),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X9),k2_tarski(X7,X7)),X0)
| r2_hidden(k2_tarski(k2_tarski(X7,X8),k2_tarski(X7,X7)),X2) ),
inference(definition_unfolding,[],[f11321,f14454,f14454,f14454]) ).
fof(f14710,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_tarski(X7,X7)),X2)
| r2_hidden(k2_tarski(k2_tarski(X7,sK173(X0,X1,X7,X8)),k2_tarski(X7,X7)),X0) ),
inference(definition_unfolding,[],[f11320,f14454,f14454]) ).
fof(f14711,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_tarski(X7,X7)),X2)
| r2_hidden(k2_tarski(k2_tarski(sK173(X0,X1,X7,X8),X8),k2_tarski(sK173(X0,X1,X7,X8),sK173(X0,X1,X7,X8))),X1) ),
inference(definition_unfolding,[],[f11319,f14454,f14454]) ).
fof(f14713,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,[],[f11333,f12649]) ).
fof(f14714,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,[],[f11332,f12649]) ).
fof(f14716,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,[],[f11330,f12649]) ).
fof(f14717,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,[],[f11329,f12649]) ).
fof(f14719,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,[],[f11335,f12649]) ).
fof(f14720,plain,
np__0 = k2_relat_1(np__0),
inference(definition_unfolding,[],[f11339,f12649,f12649]) ).
fof(f14725,plain,
! [X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK174(X0,X1),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,sK174(X0,X1)),k2_tarski(X3,X3)),X0)
| k2_relat_1(X0) = X1 ),
inference(definition_unfolding,[],[f11349,f14454]) ).
fof(f14726,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK174(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK175(X0,X1),sK174(X0,X1)),k2_tarski(sK175(X0,X1),sK175(X0,X1))),X0)
| k2_relat_1(X0) = X1 ),
inference(definition_unfolding,[],[f11348,f14454]) ).
fof(f14727,plain,
! [X0,X1,X6,X5] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) != X1
| ~ r2_hidden(k2_tarski(k2_tarski(X6,X5),k2_tarski(X6,X6)),X0)
| r2_hidden(X5,X1) ),
inference(definition_unfolding,[],[f11347,f14454]) ).
fof(f14728,plain,
! [X0,X1,X5] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(k2_tarski(k2_tarski(sK176(X0,X5),X5),k2_tarski(sK176(X0,X5),sK176(X0,X5))),X0) ),
inference(definition_unfolding,[],[f11346,f14454]) ).
fof(f14729,plain,
! [X2,X3,X0,X1] :
( k2_tarski(k2_tarski(sK177(X0,X1,X3),sK178(X0,X1,X3)),k2_tarski(sK177(X0,X1,X3),sK177(X0,X1,X3))) = X3
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X3,X2) ),
inference(definition_unfolding,[],[f11355,f14454]) ).
fof(f14730,plain,
! [X2,X3,X0] :
( r1_tarski(X0,k2_zfmisc_1(sK180(X0),sK181(X0)))
| sK179(X0) != k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)) ),
inference(definition_unfolding,[],[f11356,f14454]) ).
fof(f14731,plain,
! [X0] :
( r2_hidden(sK182(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11360,f12649]) ).
fof(f14732,plain,
! [X2,X3,X0] :
( sK182(X0) != k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))
| ~ r2_hidden(X2,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11359,f12649,f14454]) ).
fof(f14733,plain,
! [X2,X3,X0] :
( sK182(X0) != k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))
| ~ r2_hidden(X3,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11358,f12649,f14454]) ).
fof(f14734,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X0)
| m2_relset_1(k2_tarski(k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))),X0,X1) ),
inference(definition_unfolding,[],[f11361,f12402,f14454]) ).
fof(f14735,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| k2_tarski(k2_tarski(sK183(X0,X1,X2),sK184(X0,X1,X2)),k2_tarski(sK183(X0,X1,X2),sK183(X0,X1,X2))) = X2
| ~ r2_hidden(X2,X3) ),
inference(definition_unfolding,[],[f11364,f14454]) ).
fof(f14738,plain,
! [X2,X3,X0] :
( sP9(X0)
| sK188(X0) != k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))
| v1_relat_1(X0) ),
inference(definition_unfolding,[],[f11370,f14454]) ).
fof(f14739,plain,
! [X2,X3,X0] :
( sP9(X0)
| sK188(X0) != k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))
| v1_funct_1(X0) ),
inference(definition_unfolding,[],[f11368,f14454]) ).
fof(f14740,plain,
! [X0] :
( r2_hidden(k2_tarski(k2_tarski(sK189(X0),sK190(X0)),k2_tarski(sK189(X0),sK189(X0))),X0)
| v1_funct_1(X0) ),
inference(definition_unfolding,[],[f11374,f14454]) ).
fof(f14741,plain,
! [X0] :
( r2_hidden(k2_tarski(k2_tarski(sK189(X0),sK191(X0)),k2_tarski(sK189(X0),sK189(X0))),X0)
| v1_funct_1(X0) ),
inference(definition_unfolding,[],[f11373,f14454]) ).
fof(f14742,plain,
! [X0,X6,X4,X5] :
( ~ v1_funct_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X6),k2_tarski(X4,X4)),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_tarski(X4,X4)),X0)
| X5 = X6 ),
inference(definition_unfolding,[],[f11372,f14454,f14454]) ).
fof(f14743,plain,
! [X0] :
( ~ v1_relat_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK192(X0),sK193(X0)),k2_tarski(sK192(X0),sK192(X0))),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11376,f12649,f14454]) ).
fof(f14744,plain,
! [X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK194(X0,X1),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK194(X0,X1),X3),k2_tarski(sK194(X0,X1),sK194(X0,X1))),X0)
| k1_relat_1(X0) = X1 ),
inference(definition_unfolding,[],[f11380,f14454]) ).
fof(f14745,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK194(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK194(X0,X1),sK195(X0,X1)),k2_tarski(sK194(X0,X1),sK194(X0,X1))),X0)
| k1_relat_1(X0) = X1 ),
inference(definition_unfolding,[],[f11379,f14454]) ).
fof(f14746,plain,
! [X0,X1,X6,X5] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) != X1
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_tarski(X5,X5)),X0)
| r2_hidden(X5,X1) ),
inference(definition_unfolding,[],[f11378,f14454]) ).
fof(f14747,plain,
! [X0,X1,X5] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(k2_tarski(k2_tarski(X5,sK196(X0,X5)),k2_tarski(X5,X5)),X0) ),
inference(definition_unfolding,[],[f11377,f14454]) ).
fof(f14748,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK197(X0,X1),sK198(X0,X1)),k2_tarski(sK197(X0,X1),sK197(X0,X1))),X1)
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f11383,f14454]) ).
fof(f14749,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r2_hidden(k2_tarski(k2_tarski(sK197(X0,X1),sK198(X0,X1)),k2_tarski(sK197(X0,X1),sK197(X0,X1))),X0)
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f11382,f14454]) ).
fof(f14751,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK199(X0,X1),sK200(X0,X1)),k2_tarski(sK199(X0,X1),sK199(X0,X1))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK199(X0,X1),sK200(X0,X1)),k2_tarski(sK199(X0,X1),sK199(X0,X1))),X1)
| X0 = X1 ),
inference(definition_unfolding,[],[f11387,f14454,f14454]) ).
fof(f14752,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r2_hidden(k2_tarski(k2_tarski(sK199(X0,X1),sK200(X0,X1)),k2_tarski(sK199(X0,X1),sK199(X0,X1))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK199(X0,X1),sK200(X0,X1)),k2_tarski(sK199(X0,X1),sK199(X0,X1))),X1)
| X0 = X1 ),
inference(definition_unfolding,[],[f11386,f14454,f14454]) ).
fof(f14755,plain,
! [X0,X1] : v1_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)))),
inference(definition_unfolding,[],[f11388,f12402,f14454]) ).
fof(f14756,plain,
! [X2,X3,X0] :
( sK201(X0) != k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))
| v1_relat_1(X0) ),
inference(definition_unfolding,[],[f11390,f14454]) ).
fof(f14757,plain,
! [X0,X4] :
( ~ v1_relat_1(X0)
| k2_tarski(k2_tarski(sK202(X4),sK203(X4)),k2_tarski(sK202(X4),sK202(X4))) = X4
| ~ r2_hidden(X4,X0) ),
inference(definition_unfolding,[],[f11389,f14454]) ).
fof(f14758,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| ~ r2_hidden(X0,X2)
| r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_zfmisc_1(X2,k2_tarski(X3,X3))) ),
inference(definition_unfolding,[],[f11394,f14454,f12402]) ).
fof(f14760,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_zfmisc_1(X2,k2_tarski(X3,X3)))
| X1 = X3 ),
inference(definition_unfolding,[],[f11392,f14454,f12402]) ).
fof(f14761,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X1,X3)
| X0 != X2
| r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_zfmisc_1(k2_tarski(X2,X2),X3)) ),
inference(definition_unfolding,[],[f11397,f14454,f12402]) ).
fof(f14762,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_zfmisc_1(k2_tarski(X2,X2),X3))
| X0 = X2 ),
inference(definition_unfolding,[],[f11396,f14454,f12402]) ).
fof(f14764,plain,
! [X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X1)
| r2_hidden(sK205(X1),X1)
| r2_hidden(sK204(X0),X0)
| X0 = X1 ),
inference(definition_unfolding,[],[f11405,f14454,f14454]) ).
fof(f14765,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X1)
| r2_hidden(sK205(X1),X1)
| r2_hidden(sK204(X0),X0)
| X0 = X1 ),
inference(definition_unfolding,[],[f11404,f14454,f14454]) ).
fof(f14766,plain,
! [X0,X1,X6,X7] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X1)
| sK205(X1) != k2_tarski(k2_tarski(X6,X7),k2_tarski(X6,X6))
| r2_hidden(sK204(X0),X0)
| X0 = X1 ),
inference(definition_unfolding,[],[f11403,f14454,f14454,f14454]) ).
fof(f14767,plain,
! [X0,X1,X6,X7] :
( r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X1)
| sK205(X1) != k2_tarski(k2_tarski(X6,X7),k2_tarski(X6,X6))
| r2_hidden(sK204(X0),X0)
| X0 = X1 ),
inference(definition_unfolding,[],[f11402,f14454,f14454,f14454]) ).
fof(f14768,plain,
! [X3,X0,X1,X4] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X1)
| r2_hidden(sK205(X1),X1)
| sK204(X0) != k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3))
| X0 = X1 ),
inference(definition_unfolding,[],[f11401,f14454,f14454,f14454]) ).
fof(f14769,plain,
! [X3,X0,X1,X4] :
( r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X1)
| r2_hidden(sK205(X1),X1)
| sK204(X0) != k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3))
| X0 = X1 ),
inference(definition_unfolding,[],[f11400,f14454,f14454,f14454]) ).
fof(f14770,plain,
! [X3,X0,X1,X6,X7,X4] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X1)
| sK205(X1) != k2_tarski(k2_tarski(X6,X7),k2_tarski(X6,X6))
| sK204(X0) != k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3))
| X0 = X1 ),
inference(definition_unfolding,[],[f11399,f14454,f14454,f14454,f14454]) ).
fof(f14771,plain,
! [X3,X0,X1,X6,X7,X4] :
( r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X1)
| sK205(X1) != k2_tarski(k2_tarski(X6,X7),k2_tarski(X6,X6))
| sK204(X0) != k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3))
| X0 = X1 ),
inference(definition_unfolding,[],[f11398,f14454,f14454,f14454,f14454]) ).
fof(f14772,plain,
! [X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK209(X0,X1),sK210(X0,X1)),k2_tarski(sK209(X0,X1),sK209(X0,X1))),X1)
| r2_hidden(sK208(X0),X0)
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f11409,f14454]) ).
fof(f14773,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK209(X0,X1),sK210(X0,X1)),k2_tarski(sK209(X0,X1),sK209(X0,X1))),X0)
| r2_hidden(sK208(X0),X0)
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f11408,f14454]) ).
fof(f14774,plain,
! [X3,X0,X1,X4] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK209(X0,X1),sK210(X0,X1)),k2_tarski(sK209(X0,X1),sK209(X0,X1))),X1)
| sK208(X0) != k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3))
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f11407,f14454,f14454]) ).
fof(f14775,plain,
! [X3,X0,X1,X4] :
( r2_hidden(k2_tarski(k2_tarski(sK209(X0,X1),sK210(X0,X1)),k2_tarski(sK209(X0,X1),sK209(X0,X1))),X0)
| sK208(X0) != k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3))
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f11406,f14454,f14454]) ).
fof(f14776,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK211(X0,X3),sK212(X0,X3)),k2_tarski(sK211(X0,X3),sK211(X0,X3))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK211(X0,X3),sK212(X0,X3)),k2_tarski(sK211(X0,X3),sK211(X0,X3))),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| X0 = X3 ),
inference(definition_unfolding,[],[f11411,f14454,f14454]) ).
fof(f14777,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(k2_tarski(k2_tarski(sK211(X0,X3),sK212(X0,X3)),k2_tarski(sK211(X0,X3),sK211(X0,X3))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK211(X0,X3),sK212(X0,X3)),k2_tarski(sK211(X0,X3),sK211(X0,X3))),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| X0 = X3 ),
inference(definition_unfolding,[],[f11410,f14454,f14454]) ).
fof(f14778,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK213(X0,X3),sK214(X0,X3)),k2_tarski(sK213(X0,X3),sK213(X0,X3))),X3)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(X0,X3) ),
inference(definition_unfolding,[],[f11413,f14454]) ).
fof(f14779,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK213(X0,X3),sK214(X0,X3)),k2_tarski(sK213(X0,X3),sK213(X0,X3))),X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(X0,X3) ),
inference(definition_unfolding,[],[f11412,f14454]) ).
fof(f14780,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3)),k2_tarski(sK215(X0,X1,X2,X3),sK215(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3)),k2_tarski(sK215(X0,X1,X2,X3),sK215(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ),
inference(definition_unfolding,[],[f11415,f14454,f14454]) ).
fof(f14781,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3)),k2_tarski(sK215(X0,X1,X2,X3),sK215(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3)),k2_tarski(sK215(X0,X1,X2,X3),sK215(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ),
inference(definition_unfolding,[],[f11414,f14454,f14454]) ).
fof(f14782,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_zfmisc_1(X2,X3))
| r2_hidden(k2_tarski(k2_tarski(X1,X0),k2_tarski(X1,X1)),k2_zfmisc_1(X3,X2)) ),
inference(definition_unfolding,[],[f11416,f14454,f14454]) ).
fof(f14784,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_zfmisc_1(X2,X3))
| r2_hidden(X0,X2) ),
inference(definition_unfolding,[],[f11418,f14454]) ).
fof(f14785,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_zfmisc_1(X2,X3))
| r2_hidden(X1,X3) ),
inference(definition_unfolding,[],[f11417,f14454]) ).
fof(f14786,plain,
! [X2,X3,X0,X1] :
( k2_tarski(k2_tarski(sK217(X1,X2,X3),sK218(X1,X2,X3)),k2_tarski(sK217(X1,X2,X3),sK217(X1,X2,X3))) = X3
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(definition_unfolding,[],[f11420,f14454]) ).
fof(f14787,plain,
! [X2,X0,X1] :
( k2_tarski(k2_tarski(sK219(X0),sK220(X0)),k2_tarski(sK219(X0),sK219(X0))) = X0
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(definition_unfolding,[],[f11423,f14454]) ).
fof(f14789,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| X0 != X2
| r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_zfmisc_1(k2_tarski(X2,X2),k2_tarski(X3,X3))) ),
inference(definition_unfolding,[],[f11427,f14454,f12402,f12402]) ).
fof(f14792,plain,
! [X2,X3,X0,X1] :
( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))
| X0 = X2 ),
inference(definition_unfolding,[],[f11429,f14454,f14454]) ).
fof(f14793,plain,
! [X2,X3,X0,X1] :
( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))
| X1 = X3 ),
inference(definition_unfolding,[],[f11428,f14454,f14454]) ).
fof(f14794,plain,
! [X2,X0,X1,X4,X5] :
( ~ r2_hidden(sK221(X0,X1,X2),X2)
| sK221(X0,X1,X2) != k2_tarski(k2_tarski(X4,X5),k2_tarski(X4,X4))
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X0)
| k2_zfmisc_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f11437,f14454]) ).
fof(f14795,plain,
! [X2,X0,X1] :
( r2_hidden(sK221(X0,X1,X2),X2)
| sK221(X0,X1,X2) = k2_tarski(k2_tarski(sK222(X0,X1,X2),sK223(X0,X1,X2)),k2_tarski(sK222(X0,X1,X2),sK222(X0,X1,X2)))
| k2_zfmisc_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f11434,f14454]) ).
fof(f14796,plain,
! [X2,X10,X0,X1,X8,X9] :
( k2_zfmisc_1(X0,X1) != X2
| k2_tarski(k2_tarski(X9,X10),k2_tarski(X9,X9)) != X8
| ~ r2_hidden(X10,X1)
| ~ r2_hidden(X9,X0)
| r2_hidden(X8,X2) ),
inference(definition_unfolding,[],[f11433,f14454]) ).
fof(f14797,plain,
! [X2,X0,X1,X8] :
( k2_zfmisc_1(X0,X1) != X2
| ~ r2_hidden(X8,X2)
| k2_tarski(k2_tarski(sK224(X0,X1,X8),sK225(X0,X1,X8)),k2_tarski(sK224(X0,X1,X8),sK224(X0,X1,X8))) = X8 ),
inference(definition_unfolding,[],[f11430,f14454]) ).
fof(f14799,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0)
| r1_tarski(k2_zfmisc_1(k2_tarski(X2,X2),X1),k2_zfmisc_1(X0,X1)) ),
inference(definition_unfolding,[],[f11439,f12402]) ).
fof(f14800,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,k2_tarski(X1,X1))
| ~ v1_funct_2(X2,X0,k2_tarski(X1,X1))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X0,k2_tarski(X1,X1))
| ~ v1_funct_2(X3,X0,k2_tarski(X1,X1))
| ~ v1_funct_1(X3)
| X2 = X3 ),
inference(definition_unfolding,[],[f11440,f12402,f12402,f12402,f12402]) ).
fof(f14801,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(k2_tarski(X0,X0),k1_zfmisc_1(X1)) ),
inference(definition_unfolding,[],[f11441,f12402]) ).
fof(f14802,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| np__0 = X0
| m1_subset_1(k2_tarski(X1,X1),k1_zfmisc_1(X0)) ),
inference(definition_unfolding,[],[f11442,f12402,f12649]) ).
fof(f14804,plain,
! [X0,X1] :
( np__0 = X0
| np__0 != k2_zfmisc_1(k2_tarski(X1,X1),X0) ),
inference(definition_unfolding,[],[f11445,f12649,f12402,f12649]) ).
fof(f14805,plain,
! [X0,X1] :
( np__0 = X0
| np__0 != k2_zfmisc_1(X0,k2_tarski(X1,X1)) ),
inference(definition_unfolding,[],[f11444,f12649,f12402,f12649]) ).
fof(f14806,plain,
! [X0] : r1_tarski(k2_tarski(X0,X0),k1_zfmisc_1(X0)),
inference(definition_unfolding,[],[f11446,f12402]) ).
fof(f14807,plain,
! [X0,X1] :
( r2_hidden(sK226(X0,X1),X0)
| np__0 = X0
| k2_tarski(X1,X1) = X0 ),
inference(definition_unfolding,[],[f11448,f12402,f12649]) ).
fof(f14808,plain,
! [X0,X1] :
( sK226(X0,X1) != X1
| np__0 = X0
| k2_tarski(X1,X1) = X0 ),
inference(definition_unfolding,[],[f11447,f12402,f12649]) ).
fof(f14811,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k2_tarski(X1,X1))
| k2_tarski(X1,X1) = X0
| np__0 = X0 ),
inference(definition_unfolding,[],[f11449,f12649,f12402,f12402]) ).
fof(f14812,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| r1_tarski(k2_tarski(X0,X0),X1) ),
inference(definition_unfolding,[],[f11453,f12402]) ).
fof(f14816,plain,
k2_tarski(np__0,np__0) = k1_zfmisc_1(np__0),
inference(definition_unfolding,[],[f11456,f12649,f12402,f12649]) ).
fof(f14817,plain,
! [X0,X1] :
( ~ r2_hidden(sK227(X0,X1),X1)
| sK227(X0,X1) != X0
| k2_tarski(X0,X0) = X1 ),
inference(definition_unfolding,[],[f11460,f12402]) ).
fof(f14818,plain,
! [X0,X1] :
( r2_hidden(sK227(X0,X1),X1)
| sK227(X0,X1) = X0
| k2_tarski(X0,X0) = X1 ),
inference(definition_unfolding,[],[f11459,f12402]) ).
fof(f14820,plain,
! [X3,X0,X1] :
( k2_tarski(X0,X0) != X1
| ~ r2_hidden(X3,X1)
| X0 = X3 ),
inference(definition_unfolding,[],[f11457,f12402]) ).
fof(f14821,plain,
! [X3,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ r2_hidden(X3,k2_zfmisc_1(k4_xboole_0(X0,k2_tarski(X1,X1)),k4_xboole_0(X0,k2_tarski(X1,X1))))
| r2_hidden(k1_funct_1(sK228(X0,X1),X3),k4_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(definition_unfolding,[],[f11461,f12402,f12402,f12402]) ).
fof(f14822,plain,
! [X1] :
( ~ m1_subset_1(X1,sK229)
| ~ v1_xboole_0(k4_xboole_0(sK229,k2_tarski(X1,X1))) ),
inference(definition_unfolding,[],[f11465,f12402]) ).
fof(f14824,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| np__0 = k4_xboole_0(k2_tarski(X0,X0),X1) ),
inference(definition_unfolding,[],[f11474,f12649,f12402]) ).
fof(f14828,plain,
! [X0,X1] :
( k2_tarski(X1,X1) = X0
| np__0 = X0
| np__0 != k4_xboole_0(X0,k2_tarski(X1,X1)) ),
inference(definition_unfolding,[],[f11477,f12649,f12402,f12649,f12402]) ).
fof(f14829,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| k4_xboole_0(X0,k2_tarski(X1,X1)) = X0 ),
inference(definition_unfolding,[],[f11479,f12402]) ).
fof(f14830,plain,
! [X0,X1] :
( k4_xboole_0(X0,k2_tarski(X1,X1)) != X0
| ~ r2_hidden(X1,X0) ),
inference(definition_unfolding,[],[f11478,f12402]) ).
fof(f14831,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,k4_xboole_0(X1,k2_tarski(X2,X2))) ),
inference(definition_unfolding,[],[f11482,f12402]) ).
fof(f14833,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k4_xboole_0(X1,k2_tarski(X2,X2)))
| X0 != X2 ),
inference(definition_unfolding,[],[f11480,f12402]) ).
fof(f14834,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(X0,k4_xboole_0(X1,k2_tarski(X2,X2)))
| r2_hidden(X2,X0) ),
inference(definition_unfolding,[],[f11483,f12402]) ).
fof(f14835,plain,
! [X0,X1] :
( np__0 != k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1))
| X0 = X1 ),
inference(definition_unfolding,[],[f11484,f12649,f12402,f12402]) ).
fof(f14836,plain,
! [X0,X1] :
( X0 = X1
| k2_tarski(X0,X0) = k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) ),
inference(definition_unfolding,[],[f11486,f12402,f12402,f12402]) ).
fof(f14837,plain,
! [X0,X1] :
( k2_tarski(X0,X0) != k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1))
| X0 != X1 ),
inference(definition_unfolding,[],[f11485,f12402,f12402,f12402]) ).
fof(f14838,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k4_xboole_0(X1,X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f11488,f12649]) ).
fof(f14839,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k4_xboole_0(X0,X1) = np__0 ),
inference(definition_unfolding,[],[f11490,f12649]) ).
fof(f14840,plain,
! [X0,X1] :
( k4_xboole_0(X0,X1) != np__0
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f11489,f12649]) ).
fof(f14841,plain,
! [X0] : np__0 = k4_xboole_0(np__0,X0),
inference(definition_unfolding,[],[f11496,f12649,f12649]) ).
fof(f14842,plain,
! [X0] : k4_xboole_0(X0,np__0) = X0,
inference(definition_unfolding,[],[f11497,f12649]) ).
fof(f14843,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| k3_tarski(k2_xboole_0(X0,k2_tarski(X0,X0))) = X0 ),
inference(definition_unfolding,[],[f11517,f14456]) ).
fof(f14844,plain,
! [X0,X1] :
( sK238(X0,X1) != sK239(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,[],[f11527,f10623,f10623]) ).
fof(f14845,plain,
! [X0,X1] :
( ~ r1_xboole_0(sK238(X0,X1),sK239(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,[],[f11526,f10623,f10623]) ).
fof(f14846,plain,
! [X0,X1] :
( r2_hidden(sK238(X0,X1),k2_xboole_0(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,[],[f11525,f10623,f10623]) ).
fof(f14847,plain,
! [X0,X1] :
( r2_hidden(sK239(X0,X1),k2_xboole_0(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,[],[f11524,f10623,f10623]) ).
fof(f14848,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,[],[f11532,f10623,f10623]) ).
fof(f14851,plain,
np__0 = k3_tarski(np__0),
inference(definition_unfolding,[],[f11541,f12649,f12649]) ).
fof(f14852,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,[],[f11566,f12649]) ).
fof(f14853,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,[],[f11565,f12649]) ).
fof(f14854,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| k2_finseq_1(X0) = 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))) ),
inference(definition_unfolding,[],[f11586,f12402]) ).
fof(f14855,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| k2_finseq_1(k2_xcmplx_0(X0,np__1)) = k2_xboole_0(k2_finseq_1(X0),k2_tarski(k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1))) ),
inference(definition_unfolding,[],[f11587,f12402]) ).
fof(f14856,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v1_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(definition_unfolding,[],[f11620,f12716]) ).
fof(f14857,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v2_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(definition_unfolding,[],[f11619,f12716]) ).
fof(f14858,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v3_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(definition_unfolding,[],[f11618,f12716]) ).
fof(f14859,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v4_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(definition_unfolding,[],[f11617,f12716]) ).
fof(f14860,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v5_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(definition_unfolding,[],[f11616,f12716]) ).
fof(f14861,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f11630,f12402]) ).
fof(f14862,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v2_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f11629,f12402]) ).
fof(f14863,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v3_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f11628,f12402]) ).
fof(f14864,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v4_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f11627,f12402]) ).
fof(f14865,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v5_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f11626,f12402]) ).
fof(f14866,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_tarski(X1,X1)),X3)
| r2_hidden(k2_tarski(k2_tarski(X2,X1),k2_tarski(X2,X2)),X3) ),
inference(definition_unfolding,[],[f11789,f14454,f14454]) ).
fof(f14867,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,[],[f11791,f10623]) ).
fof(f14870,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_tarski(X2,X2)),X4)
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X2),k2_tarski(X1,X1)),X4)
| r2_hidden(k2_tarski(k2_tarski(X1,X3),k2_tarski(X1,X1)),X4) ),
inference(definition_unfolding,[],[f11795,f14454,f14454,f14454]) ).
fof(f14871,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,[],[f11798,f10623]) ).
fof(f14874,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,np__0,X0)
| ~ v1_funct_1(X1)
| v1_partfun1(X1,np__0,X0) ),
inference(definition_unfolding,[],[f11813,f12649,f12649]) ).
fof(f14875,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,[],[f11814,f12649,f12649]) ).
fof(f14876,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_tarski(X1,X1)))) ),
inference(definition_unfolding,[],[f11948,f12402]) ).
fof(f14877,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_tarski(X1,X1))),k2_zfmisc_1(k4_xboole_0(X0,k2_tarski(X1,X1)),k4_xboole_0(X0,k2_tarski(X1,X1))),k4_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(definition_unfolding,[],[f11947,f12402,f12402,f12402,f12402]) ).
fof(f14878,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_tarski(X1,X1))),k2_zfmisc_1(k4_xboole_0(X0,k2_tarski(X1,X1)),k4_xboole_0(X0,k2_tarski(X1,X1))),k4_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(definition_unfolding,[],[f11946,f12402,f12402,f12402,f12402]) ).
fof(f14879,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_lopclset(X0))
| ~ m1_subset_1(X1,k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k3_lopclset(X0,X1,X2) = k4_xboole_0(X1,k4_xboole_0(X1,X2)) ),
inference(definition_unfolding,[],[f12019,f10623]) ).
fof(f14880,plain,
! [X0] :
( ~ v1_xcmplx_0(X0)
| v1_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f12079,f12402]) ).
fof(f14881,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f12101,f10623]) ).
fof(f14882,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f12100,f10623]) ).
fof(f14883,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v3_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f12099,f10623]) ).
fof(f14887,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f12106,f10623]) ).
fof(f14888,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f12105,f10623]) ).
fof(f14891,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f12109,f10623]) ).
fof(f14893,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v1_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f12126,f12402]) ).
fof(f14894,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v2_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f12125,f12402]) ).
fof(f14895,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| np__0 != X0
| sP18(X0,X2) ),
inference(definition_unfolding,[],[f12163,f12649]) ).
fof(f14896,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| np__0 = X1
| sP18(X0,X2) ),
inference(definition_unfolding,[],[f12162,f12649]) ).
fof(f14897,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_tarski(X0,X0),X1)
| ~ v1_funct_1(X2)
| v2_funct_1(X2) ),
inference(definition_unfolding,[],[f12164,f12402]) ).
fof(f14898,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,np__0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(definition_unfolding,[],[f12165,f12649]) ).
fof(f14899,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,np__0,X0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(definition_unfolding,[],[f12166,f12649]) ).
fof(f14900,plain,
! [X2,X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k2_tarski(sK325(X0),sK325(X0))),k2_tarski(X2,X2))
| v2_funct_1(X0) ),
inference(definition_unfolding,[],[f12172,f12402,f12402]) ).
fof(f14901,plain,
! [X3,X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v2_funct_1(X0)
| r1_tarski(k10_relat_1(X0,k2_tarski(X3,X3)),k2_tarski(sK326(X0,X3),sK326(X0,X3))) ),
inference(definition_unfolding,[],[f12171,f12402,f12402]) ).
fof(f14902,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v2_funct_1(X0)
| k10_relat_1(X0,k2_tarski(X1,X1)) = k2_tarski(sK328(X0,X1),sK328(X0,X1))
| ~ r2_hidden(X1,k2_relat_1(X0)) ),
inference(definition_unfolding,[],[f12178,f12402,f12402]) ).
fof(f14903,plain,
! [X0,X4] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k2_tarski(X4,X4) != k10_relat_1(X0,k2_tarski(sK329(X0),sK329(X0)))
| v2_funct_1(X0) ),
inference(definition_unfolding,[],[f12176,f12402,f12402]) ).
fof(f14904,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,k4_xboole_0(sK332(X0),k4_xboole_0(sK332(X0),sK333(X0)))) != k4_xboole_0(k9_relat_1(X0,sK332(X0)),k4_xboole_0(k9_relat_1(X0,sK332(X0)),k9_relat_1(X0,sK333(X0))))
| v2_funct_1(X0) ),
inference(definition_unfolding,[],[f12181,f10623,f10623]) ).
fof(f14905,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,[],[f12182,f10623,f10623]) ).
fof(f14906,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,[],[f12200,f12649]) ).
fof(f14907,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,k2_tarski(X0,X0),X1)
| ~ v1_funct_1(X3)
| r1_tarski(k9_relat_1(X3,X2),k2_tarski(k1_funct_1(X3,X0),k1_funct_1(X3,X0))) ),
inference(definition_unfolding,[],[f12201,f12402,f12402]) ).
fof(f14908,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,[],[f12202,f12649,f12649]) ).
fof(f14909,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,[],[f12203,f12649,f12649]) ).
fof(f14910,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,[],[f12205,f10623,f10623]) ).
fof(f14911,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,[],[f12206,f10623,f10623]) ).
fof(f14912,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,[],[f12207,f10623,f10623]) ).
fof(f14913,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,[],[f12208,f10623]) ).
fof(f14914,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1))
| k2_tarski(k1_funct_1(X1,X0),k1_funct_1(X1,X0)) = k9_relat_1(X1,k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f12213,f12402,f12402]) ).
fof(f14915,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,[],[f12227,f10623,f10623]) ).
fof(f14916,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,[],[f12229,f12649,f12649]) ).
fof(f14917,plain,
! [X0] : np__0 = k9_relat_1(np__0,X0),
inference(definition_unfolding,[],[f12230,f12649,f12649]) ).
fof(f14918,plain,
! [X0] :
( ~ v1_relat_1(X0)
| np__0 = k9_relat_1(X0,np__0) ),
inference(definition_unfolding,[],[f12231,f12649,f12649]) ).
fof(f14919,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,[],[f12235,f10623]) ).
fof(f14921,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k9_relat_1(X2,X1))
| r2_hidden(k2_tarski(k2_tarski(sK340(X0,X1,X2),X0),k2_tarski(sK340(X0,X1,X2),sK340(X0,X1,X2))),X2) ),
inference(definition_unfolding,[],[f12238,f14454]) ).
fof(f14922,plain,
! [X2,X0,X1,X4] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK341(X0,X1,X2),X2)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X4,sK341(X0,X1,X2)),k2_tarski(X4,X4)),X0)
| k9_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f12246,f14454]) ).
fof(f14923,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK341(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK342(X0,X1,X2),sK341(X0,X1,X2)),k2_tarski(sK342(X0,X1,X2),sK342(X0,X1,X2))),X0)
| k9_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f12245,f14454]) ).
fof(f14924,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_tarski(X7,X7)),X0)
| r2_hidden(X6,X2) ),
inference(definition_unfolding,[],[f12243,f14454]) ).
fof(f14925,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(sK343(X0,X1,X6),X6),k2_tarski(sK343(X0,X1,X6),sK343(X0,X1,X6))),X0) ),
inference(definition_unfolding,[],[f12242,f14454]) ).
fof(f14926,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,[],[f12251,f10623]) ).
fof(f14927,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,[],[f12258,f10623]) ).
fof(f14928,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_funct_1(X1,sK344(X1,X2)) != k1_funct_1(X2,sK344(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,[],[f12263,f10623]) ).
fof(f14929,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK344(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,[],[f12262,f10623]) ).
fof(f14931,plain,
! [X0] : np__0 = k7_relat_1(np__0,X0),
inference(definition_unfolding,[],[f12271,f12649,f12649]) ).
fof(f14932,plain,
! [X0] :
( ~ v1_relat_1(X0)
| np__0 = k7_relat_1(X0,np__0) ),
inference(definition_unfolding,[],[f12272,f12649,f12649]) ).
fof(f14933,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,[],[f12274,f10623,f10623]) ).
fof(f14934,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,[],[f12282,f10623]) ).
fof(f14935,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,[],[f12286,f10623]) ).
fof(f14936,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,[],[f12288,f10623]) ).
fof(f14937,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK345(X0,X1,X2),sK346(X0,X1,X2)),k2_tarski(sK345(X0,X1,X2),sK345(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK345(X0,X1,X2),sK346(X0,X1,X2)),k2_tarski(sK345(X0,X1,X2),sK345(X0,X1,X2))),X0)
| ~ r2_hidden(sK345(X0,X1,X2),X1)
| k7_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f12300,f14454,f14454]) ).
fof(f14938,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK345(X0,X1,X2),sK346(X0,X1,X2)),k2_tarski(sK345(X0,X1,X2),sK345(X0,X1,X2))),X2)
| r2_hidden(sK345(X0,X1,X2),X1)
| k7_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f12299,f14454]) ).
fof(f14939,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK345(X0,X1,X2),sK346(X0,X1,X2)),k2_tarski(sK345(X0,X1,X2),sK345(X0,X1,X2))),X2)
| r2_hidden(k2_tarski(k2_tarski(sK345(X0,X1,X2),sK346(X0,X1,X2)),k2_tarski(sK345(X0,X1,X2),sK345(X0,X1,X2))),X0)
| k7_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f12298,f14454,f14454]) ).
fof(f14940,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_tarski(X5,X5)),X0)
| ~ r2_hidden(X5,X1)
| r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_tarski(X5,X5)),X2) ),
inference(definition_unfolding,[],[f12297,f14454,f14454]) ).
fof(f14941,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_tarski(X5,X5)),X2)
| r2_hidden(X5,X1) ),
inference(definition_unfolding,[],[f12296,f14454]) ).
fof(f14942,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_tarski(X5,X5)),X2)
| r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_tarski(X5,X5)),X0) ),
inference(definition_unfolding,[],[f12295,f14454,f14454]) ).
fof(f14943,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,[],[f12306,f12649]) ).
fof(f14944,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,[],[f12305,f12649]) ).
fof(f14945,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,[],[f12304,f12649]) ).
fof(f14946,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,[],[f12307,f12649,f12649]) ).
fof(f14947,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,[],[f12308,f12649,f12649]) ).
fof(f14948,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| np__0 = k10_relat_1(X1,k2_tarski(sK347(X0,X1),sK347(X0,X1)))
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(definition_unfolding,[],[f12311,f12649,f12402]) ).
fof(f14949,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| np__0 = k10_relat_1(X1,k2_tarski(X0,X0))
| r2_hidden(X0,k2_relat_1(X1)) ),
inference(definition_unfolding,[],[f12314,f12649,f12402]) ).
fof(f14950,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1))
| np__0 != k10_relat_1(X1,k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f12313,f12649,f12402]) ).
fof(f14951,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,[],[f12316,f10623,f10623]) ).
fof(f14952,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,[],[f12327,f10623,f10623]) ).
fof(f14953,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,[],[f12329,f12649,f12649]) ).
fof(f14954,plain,
! [X0] : np__0 = k10_relat_1(np__0,X0),
inference(definition_unfolding,[],[f12330,f12649,f12649]) ).
fof(f14955,plain,
! [X0] :
( ~ v1_relat_1(X0)
| np__0 = k10_relat_1(X0,np__0) ),
inference(definition_unfolding,[],[f12331,f12649,f12649]) ).
fof(f14956,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,[],[f12334,f10623]) ).
fof(f14958,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k10_relat_1(X2,X1))
| r2_hidden(k2_tarski(k2_tarski(X0,sK349(X0,X1,X2)),k2_tarski(X0,X0)),X2) ),
inference(definition_unfolding,[],[f12337,f14454]) ).
fof(f14959,plain,
! [X2,X0,X1,X4] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK350(X0,X1,X2),X2)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK350(X0,X1,X2),X4),k2_tarski(sK350(X0,X1,X2),sK350(X0,X1,X2))),X0)
| k10_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f12345,f14454]) ).
fof(f14960,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK350(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK350(X0,X1,X2),sK351(X0,X1,X2)),k2_tarski(sK350(X0,X1,X2),sK350(X0,X1,X2))),X0)
| k10_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f12344,f14454]) ).
fof(f14961,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_tarski(X6,X6)),X0)
| r2_hidden(X6,X2) ),
inference(definition_unfolding,[],[f12342,f14454]) ).
fof(f14962,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,sK352(X0,X1,X6)),k2_tarski(X6,X6)),X0) ),
inference(definition_unfolding,[],[f12341,f14454]) ).
fof(f14963,plain,
! [X2,X0,X1] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(definition_unfolding,[],[f12346,f14454]) ).
fof(f14964,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_relat_1(X4)
| k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))) != X4
| k2_tarski(X0,X2) = k1_relat_1(X4) ),
inference(definition_unfolding,[],[f12349,f14454,f14454]) ).
fof(f14965,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_relat_1(X4)
| k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))) != X4
| k2_relat_1(X4) = k2_tarski(X1,X3) ),
inference(definition_unfolding,[],[f12348,f14454,f14454]) ).
fof(f14966,plain,
! [X2,X3,X0,X1] : 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(definition_unfolding,[],[f12350,f14454,f14454]) ).
fof(f14967,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,[],[f12351,f12649]) ).
fof(f14971,plain,
! [X2,X0,X1] :
( k2_tarski(X1,X1) != X0
| k4_xboole_0(X0,k2_tarski(X1,X2)) = np__0 ),
inference(definition_unfolding,[],[f12358,f12649,f12402]) ).
fof(f14972,plain,
! [X2,X0,X1] :
( k2_tarski(X2,X2) != X0
| k4_xboole_0(X0,k2_tarski(X1,X2)) = np__0 ),
inference(definition_unfolding,[],[f12357,f12649,f12402]) ).
fof(f14974,plain,
! [X2,X0,X1] :
( k4_xboole_0(X0,k2_tarski(X1,X2)) != np__0
| k2_tarski(X1,X2) = X0
| k2_tarski(X2,X2) = X0
| k2_tarski(X1,X1) = X0
| np__0 = X0 ),
inference(definition_unfolding,[],[f12355,f12649,f12402,f12402,f12649]) ).
fof(f14975,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_tarski(X1,X1)
| k2_tarski(X0,X0) = k4_xboole_0(k2_tarski(X0,X1),X2)
| k4_xboole_0(k2_tarski(X0,X1),X2) = np__0 ),
inference(definition_unfolding,[],[f12360,f12649,f12402,f12402]) ).
fof(f14976,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,[],[f12363,f12649]) ).
fof(f14977,plain,
! [X2,X0,X1] :
( k4_xboole_0(k2_tarski(X0,X1),X2) != np__0
| r2_hidden(X0,X2) ),
inference(definition_unfolding,[],[f12362,f12649]) ).
fof(f14978,plain,
! [X2,X0,X1] :
( k4_xboole_0(k2_tarski(X0,X1),X2) != np__0
| r2_hidden(X1,X2) ),
inference(definition_unfolding,[],[f12361,f12649]) ).
fof(f14979,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,X2)
| r2_hidden(X0,X2)
| k2_tarski(X0,X0) = k4_xboole_0(k2_tarski(X0,X1),X2) ),
inference(definition_unfolding,[],[f12370,f12402]) ).
fof(f14980,plain,
! [X2,X0,X1] :
( X0 != X1
| r2_hidden(X0,X2)
| k2_tarski(X0,X0) = k4_xboole_0(k2_tarski(X0,X1),X2) ),
inference(definition_unfolding,[],[f12369,f12402]) ).
fof(f14981,plain,
! [X2,X0,X1] :
( k2_tarski(X0,X0) != k4_xboole_0(k2_tarski(X0,X1),X2)
| ~ r2_hidden(X0,X2) ),
inference(definition_unfolding,[],[f12368,f12402]) ).
fof(f14982,plain,
! [X2,X0,X1] :
( k2_tarski(X0,X0) != k4_xboole_0(k2_tarski(X0,X1),X2)
| X0 = X1
| r2_hidden(X1,X2) ),
inference(definition_unfolding,[],[f12367,f12402]) ).
fof(f14983,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,[],[f12371,f10623]) ).
fof(f14984,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| k2_tarski(X0,X0) = k4_xboole_0(k2_tarski(X0,X2),k4_xboole_0(k2_tarski(X0,X2),X1))
| r2_hidden(X2,X1) ),
inference(definition_unfolding,[],[f12373,f12402,f10623]) ).
fof(f14985,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| k2_tarski(X0,X0) = k4_xboole_0(k2_tarski(X0,X2),k4_xboole_0(k2_tarski(X0,X2),X1))
| X0 != X2 ),
inference(definition_unfolding,[],[f12372,f12402,f10623]) ).
fof(f14986,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ r2_hidden(X1,X2)
| k2_tarski(X0,X0) != k4_xboole_0(k2_tarski(X0,X1),k4_xboole_0(k2_tarski(X0,X1),X2)) ),
inference(definition_unfolding,[],[f12374,f12402,f10623]) ).
fof(f14987,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,[],[f12375,f10623]) ).
fof(f14988,plain,
! [X2,X0,X1] : k2_xboole_0(k2_tarski(X0,X1),X2) != np__0,
inference(definition_unfolding,[],[f12376,f12649]) ).
fof(f14991,plain,
! [X2,X0,X1] :
( k2_tarski(X2,X2) != X0
| r1_tarski(X0,k2_tarski(X1,X2)) ),
inference(definition_unfolding,[],[f12381,f12402]) ).
fof(f14992,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_tarski(X1,X2))
| k2_tarski(X1,X2) = X0
| k2_tarski(X2,X2) = X0
| k2_tarski(X1,X1) = X0
| np__0 = X0 ),
inference(definition_unfolding,[],[f12379,f12649,f12402,f12402]) ).
fof(f14993,plain,
! [X2,X0,X1] : k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X2)) = k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0))),
inference(definition_unfolding,[],[f12388,f12402,f14454,f14454]) ).
fof(f14994,plain,
! [X2,X0,X1] : k2_zfmisc_1(k2_tarski(X0,X1),k2_tarski(X2,X2)) = k2_tarski(k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X1,X2),k2_tarski(X1,X1))),
inference(definition_unfolding,[],[f12387,f12402,f14454,f14454]) ).
fof(f14995,plain,
! [X0] : k1_zfmisc_1(k2_tarski(X0,X0)) = k2_tarski(np__0,k2_tarski(X0,X0)),
inference(definition_unfolding,[],[f12389,f12402,f12649,f12402]) ).
fof(f14996,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_tarski(X0,X1),k2_tarski(X2,X2))
| k2_tarski(X0,X1) = k2_tarski(X2,X2) ),
inference(definition_unfolding,[],[f12391,f12402,f12402]) ).
fof(f14997,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_tarski(X0,X1),k2_tarski(X2,X2))
| X0 = X2 ),
inference(definition_unfolding,[],[f12392,f12402]) ).
fof(f14999,plain,
! [X0,X1] :
( X0 = X1
| k2_tarski(X0,X0) = k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)) ),
inference(definition_unfolding,[],[f12394,f12402,f12402]) ).
fof(f15000,plain,
! [X0,X1] : np__0 = k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X1)),
inference(definition_unfolding,[],[f12395,f12649,f12402]) ).
fof(f15003,plain,
! [X0,X1] : r1_tarski(k2_tarski(X0,X0),k2_tarski(X0,X1)),
inference(definition_unfolding,[],[f12398,f12402]) ).
fof(f15004,plain,
! [X2,X0,X1] :
( k2_tarski(X1,X2) != k2_tarski(X0,X0)
| X1 = X2 ),
inference(definition_unfolding,[],[f12400,f12402]) ).
fof(f15005,plain,
! [X2,X0,X1] :
( k2_tarski(X1,X2) != k2_tarski(X0,X0)
| X0 = X1 ),
inference(definition_unfolding,[],[f12401,f12402]) ).
fof(f15006,plain,
! [X0] :
( np__0 != k1_card_1(X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f12414,f12649]) ).
fof(f15008,plain,
! [X2,X0,X1] :
( k2_tarski(X2,X2) != X0
| k1_card_1(X0) = k1_card_1(k2_tarski(X1,X1)) ),
inference(definition_unfolding,[],[f12418,f12402,f12402]) ).
fof(f15009,plain,
! [X0,X1] :
( k1_card_1(X0) != k1_card_1(k2_tarski(X1,X1))
| k2_tarski(sK354(X0),sK354(X0)) = X0 ),
inference(definition_unfolding,[],[f12417,f12402,f12402]) ).
fof(f15010,plain,
np__0 = k1_card_1(np__0),
inference(definition_unfolding,[],[f12419,f12649,f12649]) ).
fof(f15013,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,[],[f12440,f12649]) ).
fof(f15014,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,[],[f12439,f12649]) ).
fof(f15015,plain,
v1_relat_1(np__0),
inference(definition_unfolding,[],[f12443,f12649]) ).
fof(f15016,plain,
v1_funct_1(np__0),
inference(definition_unfolding,[],[f12442,f12649]) ).
fof(f15017,plain,
v1_finseq_1(np__0),
inference(definition_unfolding,[],[f12441,f12649]) ).
fof(f15018,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f12504,f10623]) ).
fof(f15019,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f12503,f10623]) ).
fof(f15020,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v3_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f12502,f10623]) ).
fof(f15021,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v4_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f12501,f10623]) ).
fof(f15022,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v5_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f12500,f10623]) ).
fof(f15028,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f12513,f10623]) ).
fof(f15029,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f12512,f10623]) ).
fof(f15030,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v3_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f12511,f10623]) ).
fof(f15031,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v4_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f12510,f10623]) ).
fof(f15036,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,[],[f12539,f12716]) ).
fof(f15037,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,[],[f12538,f12716]) ).
fof(f15038,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,[],[f12537,f12716]) ).
fof(f15039,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,[],[f12536,f12716]) ).
fof(f15040,plain,
! [X0] :
( ~ v1_int_1(X0)
| v1_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f12547,f12402]) ).
fof(f15041,plain,
! [X0] :
( ~ v1_int_1(X0)
| v2_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f12546,f12402]) ).
fof(f15042,plain,
! [X0] :
( ~ v1_int_1(X0)
| v3_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f12545,f12402]) ).
fof(f15043,plain,
! [X0] :
( ~ v1_int_1(X0)
| v4_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f12544,f12402]) ).
fof(f15044,plain,
v1_xboole_0(np__0),
inference(definition_unfolding,[],[f12558,f12649]) ).
fof(f15045,plain,
v1_membered(np__0),
inference(definition_unfolding,[],[f12557,f12649]) ).
fof(f15046,plain,
v2_membered(np__0),
inference(definition_unfolding,[],[f12556,f12649]) ).
fof(f15047,plain,
v3_membered(np__0),
inference(definition_unfolding,[],[f12555,f12649]) ).
fof(f15048,plain,
v4_membered(np__0),
inference(definition_unfolding,[],[f12554,f12649]) ).
fof(f15049,plain,
v5_membered(np__0),
inference(definition_unfolding,[],[f12553,f12649]) ).
fof(f15050,plain,
v3_ordinal1(np__0),
inference(definition_unfolding,[],[f12626,f12649]) ).
fof(f15051,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| k4_xboole_0(k2_xboole_0(X0,k2_tarski(X0,X0)),k2_tarski(X0,X0)) = X0 ),
inference(definition_unfolding,[],[f12629,f14456,f12402]) ).
fof(f15052,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ r2_hidden(X0,X1)
| ~ v2_classes1(X1)
| r2_hidden(k2_xboole_0(X0,k2_tarski(X0,X0)),X1) ),
inference(definition_unfolding,[],[f12631,f14456]) ).
fof(f15053,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| r1_tarski(k2_xboole_0(X0,k2_tarski(X0,X0)),k1_zfmisc_1(X0)) ),
inference(definition_unfolding,[],[f12632,f14456]) ).
fof(f15054,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| k2_xboole_0(sK378(X0),k2_tarski(sK378(X0),sK378(X0))) = X0
| v4_ordinal1(X0) ),
inference(definition_unfolding,[],[f12635,f14456]) ).
fof(f15055,plain,
! [X2,X0] :
( ~ v3_ordinal1(X0)
| ~ v4_ordinal1(X0)
| k2_xboole_0(X2,k2_tarski(X2,X2)) != X0
| ~ v3_ordinal1(X2) ),
inference(definition_unfolding,[],[f12633,f14456]) ).
fof(f15056,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ~ r2_hidden(k2_xboole_0(sK379(X0),k2_tarski(sK379(X0),sK379(X0))),X0)
| v4_ordinal1(X0) ),
inference(definition_unfolding,[],[f12639,f14456]) ).
fof(f15057,plain,
! [X2,X0] :
( ~ v3_ordinal1(X0)
| ~ v4_ordinal1(X0)
| ~ v3_ordinal1(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(k2_xboole_0(X2,k2_tarski(X2,X2)),X0) ),
inference(definition_unfolding,[],[f12636,f14456]) ).
fof(f15058,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| v3_ordinal1(k2_xboole_0(X0,k2_tarski(X0,X0))) ),
inference(definition_unfolding,[],[f12640,f14456]) ).
fof(f15059,plain,
! [X0] : k2_xboole_0(X0,k2_tarski(X0,X0)) != X0,
inference(definition_unfolding,[],[f12641,f14456]) ).
fof(f15063,plain,
! [X0,X1] :
( k2_xboole_0(X0,k2_tarski(X0,X0)) != k2_xboole_0(X1,k2_tarski(X1,X1))
| X0 = X1 ),
inference(definition_unfolding,[],[f12645,f14456,f14456]) ).
fof(f15065,plain,
! [X0] : ~ v1_xboole_0(k2_xboole_0(X0,k2_tarski(X0,X0))),
inference(definition_unfolding,[],[f12648,f14456]) ).
fof(f15066,plain,
! [X0] : m2_finseq_1(np__0,X0),
inference(definition_unfolding,[],[f12695,f12649]) ).
fof(f15067,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,[],[f12703,f12716]) ).
fof(f15068,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,[],[f12705,f12716]) ).
fof(f15069,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,[],[f12704,f12716]) ).
fof(f15070,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,[],[f12706,f12716]) ).
fof(f15071,plain,
! [X2,X0,X1] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X1,X2)),
inference(definition_unfolding,[],[f12707,f12716]) ).
fof(f15072,plain,
! [X2,X0,X1] : r1_tarski(k2_tarski(X0,X0),k2_enumset1(X0,X0,X1,X2)),
inference(definition_unfolding,[],[f12708,f12402,f12716]) ).
fof(f15074,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,[],[f12710,f12716,f12649]) ).
fof(f15075,plain,
! [X2,X0,X1] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X2,X2,X1,X0),
inference(definition_unfolding,[],[f12711,f12716,f12716]) ).
fof(f15076,plain,
! [X2,X0,X1] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X1,X1,X2,X0),
inference(definition_unfolding,[],[f12712,f12716,f12716]) ).
fof(f15077,plain,
! [X2,X0,X1] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X1,X1,X0,X2),
inference(definition_unfolding,[],[f12713,f12716,f12716]) ).
fof(f15081,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_xboole_0(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3)),
inference(definition_unfolding,[],[f12719,f12402,f12716]) ).
fof(f15082,plain,
! [X2,X0,X1] : k2_enumset1(X0,X0,X1,X2) = k2_xboole_0(k2_tarski(X0,X1),k2_tarski(X2,X2)),
inference(definition_unfolding,[],[f12720,f12716,f12402]) ).
fof(f15084,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK382(X0,X1,X2,X3),X3)
| sK382(X0,X1,X2,X3) != X0
| k2_enumset1(X0,X0,X1,X2) = X3 ),
inference(definition_unfolding,[],[f12729,f12716]) ).
fof(f15085,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK382(X0,X1,X2,X3),X3)
| sK382(X0,X1,X2,X3) != X1
| k2_enumset1(X0,X0,X1,X2) = X3 ),
inference(definition_unfolding,[],[f12728,f12716]) ).
fof(f15086,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK382(X0,X1,X2,X3),X3)
| sK382(X0,X1,X2,X3) != X2
| k2_enumset1(X0,X0,X1,X2) = X3 ),
inference(definition_unfolding,[],[f12727,f12716]) ).
fof(f15087,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK382(X0,X1,X2,X3),X3)
| sK382(X0,X1,X2,X3) = X2
| sK382(X0,X1,X2,X3) = X1
| sK382(X0,X1,X2,X3) = X0
| k2_enumset1(X0,X0,X1,X2) = X3 ),
inference(definition_unfolding,[],[f12726,f12716]) ).
fof(f15091,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,[],[f12722,f12716]) ).
fof(f15092,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,[],[f12735,f12649]) ).
fof(f15093,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,[],[f12734,f12649]) ).
fof(f15094,plain,
! [X0,X1] : r2_wellord2(X0,k1_funct_2(k2_tarski(X1,X1),X0)),
inference(definition_unfolding,[],[f12762,f12402]) ).
fof(f15095,plain,
! [X0,X1] : k1_card_1(X0) = k1_card_1(k1_funct_2(k2_tarski(X1,X1),X0)),
inference(definition_unfolding,[],[f12761,f12402]) ).
fof(f15096,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X0)
| ~ r2_wellord2(X0,X1)
| r2_wellord2(k4_xboole_0(X0,k2_tarski(X2,X2)),k4_xboole_0(X1,k2_tarski(X3,X3))) ),
inference(definition_unfolding,[],[f12767,f12402,f12402]) ).
fof(f15097,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| r2_wellord2(k4_xboole_0(X1,k2_tarski(X0,X0)),k4_xboole_0(X1,k2_tarski(X2,X2))) ),
inference(definition_unfolding,[],[f12769,f12402,f12402]) ).
fof(f15098,plain,
! [X2,X0,X1] :
( k2_tarski(X2,X2) != X0
| r2_wellord2(X0,k2_tarski(X1,X1)) ),
inference(definition_unfolding,[],[f12772,f12402,f12402]) ).
fof(f15099,plain,
! [X0,X1] :
( ~ r2_wellord2(X0,k2_tarski(X1,X1))
| k2_tarski(sK386(X0),sK386(X0)) = X0 ),
inference(definition_unfolding,[],[f12771,f12402,f12402]) ).
fof(f15100,plain,
! [X0] :
( np__0 != X0
| r2_wellord2(X0,np__0) ),
inference(definition_unfolding,[],[f12774,f12649,f12649]) ).
fof(f15101,plain,
! [X0] :
( ~ r2_wellord2(X0,np__0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f12773,f12649,f12649]) ).
fof(f15102,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(k7_finseq_1(X1,k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))),k1_nat_1(k3_finseq_1(X1),np__1)) = X0 ),
inference(definition_unfolding,[],[f12835,f14455]) ).
fof(f15103,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| k1_nat_1(X0,np__1) = k2_xboole_0(X0,k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f12845,f14456]) ).
fof(f15104,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,[],[f12857,f12649,f12649]) ).
fof(f15105,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,[],[f12856,f12649,f12649]) ).
fof(f15106,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k7_finseq_1(X0,np__0) = X0 ),
inference(definition_unfolding,[],[f12859,f12649]) ).
fof(f15107,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k7_finseq_1(np__0,X0) = X0 ),
inference(definition_unfolding,[],[f12858,f12649]) ).
fof(f15108,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_tarski(X0,X0) != k2_relat_1(X1)
| k2_finseq_1(np__1) != k4_finseq_1(X1)
| k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))) = X1 ),
inference(definition_unfolding,[],[f12888,f14455,f12402]) ).
fof(f15109,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))) != X1
| k2_finseq_1(np__1) = k4_finseq_1(X1) ),
inference(definition_unfolding,[],[f12887,f14455]) ).
fof(f15111,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,[],[f12892,f12649,f12649]) ).
fof(f15112,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,[],[f12891,f12649,f12649]) ).
fof(f15113,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_tarski(k2_tarski(sK404(X0,X1),k1_funct_1(X1,sK404(X0,X1))),k2_tarski(sK404(X0,X1),sK404(X0,X1))) = X0
| ~ r2_hidden(X0,X1) ),
inference(definition_unfolding,[],[f12897,f14454]) ).
fof(f15114,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP24(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK409(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK409(X0,X1,X5,X6)))
| sK408(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)
| sP25(X0,X1,X2,X3,X4,X5) ),
inference(definition_unfolding,[],[f12939,f12649]) ).
fof(f15115,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP24(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK409(X0,X1,X5,X6),X1)
| sK408(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)
| sP25(X0,X1,X2,X3,X4,X5) ),
inference(definition_unfolding,[],[f12938,f12649]) ).
fof(f15116,plain,
! [X2,X3,X10,X0,X1,X4,X5] :
( ~ sP25(X0,X1,X2,X3,X4,X5)
| ~ m1_subset_1(X10,X0)
| ~ r3_binop_1(X0,X10,X4)
| k1_funct_1(sK410(X0,X1,X2,X3,X4,X5),np__0) = X10 ),
inference(definition_unfolding,[],[f12929,f12649]) ).
fof(f15119,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)
| sP26(X4,X2,X3,X5,X0,X1)
| np__0 = X3 ),
inference(definition_unfolding,[],[f12948,f12649]) ).
fof(f15121,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,[],[f12955,f12649,f12649,f12649,f12649,f12649,f12649]) ).
fof(f15123,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,[],[f12953,f12649,f12649,f12649,f12649,f12649,f12649,f12649]) ).
fof(f15124,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,[],[f12952,f12649,f12649,f12649,f12649,f12649,f12649,f12649]) ).
fof(f15125,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,sK415(X1,X2,X3,X4,X6),sK416(X1,X2,X3,X4,X6))) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,sK415(X1,X2,X3,X4,X6)),k8_funct_2(X1,X3,X6,sK416(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,[],[f12982,f12649]) ).
fof(f15126,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(sK416(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,[],[f12981,f12649]) ).
fof(f15127,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(sK415(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,[],[f12980,f12649]) ).
fof(f15128,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,[],[f12983,f12649]) ).
fof(f15129,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,sK417(X0,X1,X3,X4,X5)) != X5
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| np__0 = X3 ),
inference(definition_unfolding,[],[f12987,f12649]) ).
fof(f15130,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(sK417(X0,X1,X3,X4,X5),X3)
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| np__0 = X3 ),
inference(definition_unfolding,[],[f12986,f12649]) ).
fof(f15131,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(sK417(X0,X1,X3,X4,X5),X1)
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| np__0 = X3 ),
inference(definition_unfolding,[],[f12985,f12649]) ).
fof(f15132,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,[],[f12988,f12649]) ).
fof(f15133,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,[],[f12990,f12649,f12649]) ).
fof(f15134,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,[],[f12991,f12649]) ).
fof(f15136,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,[],[f13113,f12649,f12649]) ).
fof(f15138,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_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))),k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(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_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))),k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0))))) = 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))))) ),
inference(definition_unfolding,[],[f13120,f14454,f14454,f14454,f14454,f14454,f14454,f14454,f14454,f14454]) ).
fof(f15139,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_tarski(X1,X1)),k1_relat_1(X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0)),k1_relat_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_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)))),k1_relat_1(k3_funct_4(X4,X5))) ),
inference(definition_unfolding,[],[f13123,f14454,f14454,f14454,f14454,f14454]) ).
fof(f15140,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_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))),k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)))),k1_relat_1(k3_funct_4(X4,X5)))
| r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0)),k1_relat_1(X4)) ),
inference(definition_unfolding,[],[f13122,f14454,f14454,f14454,f14454]) ).
fof(f15141,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_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))),k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)))),k1_relat_1(k3_funct_4(X4,X5)))
| r2_hidden(k2_tarski(k2_tarski(X1,X3),k2_tarski(X1,X1)),k1_relat_1(X5)) ),
inference(definition_unfolding,[],[f13121,f14454,f14454,f14454,f14454]) ).
fof(f15150,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(sK436(X0,X1,X2),sK438(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2))),k2_tarski(k2_tarski(sK437(X0,X1,X2),sK439(X0,X1,X2)),k2_tarski(sK437(X0,X1,X2),sK437(X0,X1,X2)))),k2_tarski(k2_tarski(k2_tarski(sK436(X0,X1,X2),sK438(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2))),k2_tarski(k2_tarski(sK436(X0,X1,X2),sK438(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2)))))) != k2_tarski(k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(sK436(X0,X1,X2),sK437(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2)))),k1_funct_1(X1,k2_tarski(k2_tarski(sK438(X0,X1,X2),sK439(X0,X1,X2)),k2_tarski(sK438(X0,X1,X2),sK438(X0,X1,X2))))),k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(sK436(X0,X1,X2),sK437(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2)))),k1_funct_1(X0,k2_tarski(k2_tarski(sK436(X0,X1,X2),sK437(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2))))))
| ~ sP30(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(definition_unfolding,[],[f13136,f14454,f14454,f14454,f14454,f14454,f14454]) ).
fof(f15151,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(sK436(X0,X1,X2),sK437(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2))),k1_relat_1(X0))
| ~ sP30(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(definition_unfolding,[],[f13135,f14454]) ).
fof(f15152,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(sK438(X0,X1,X2),sK439(X0,X1,X2)),k2_tarski(sK438(X0,X1,X2),sK438(X0,X1,X2))),k1_relat_1(X1))
| ~ sP30(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(definition_unfolding,[],[f13134,f14454]) ).
fof(f15153,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_tarski(X9,X9)),k1_relat_1(X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X8),k2_tarski(X7,X7)),k1_relat_1(X0))
| k1_funct_1(X2,k2_tarski(k2_tarski(k2_tarski(k2_tarski(X7,X9),k2_tarski(X7,X7)),k2_tarski(k2_tarski(X8,X10),k2_tarski(X8,X8))),k2_tarski(k2_tarski(k2_tarski(X7,X9),k2_tarski(X7,X7)),k2_tarski(k2_tarski(X7,X9),k2_tarski(X7,X7))))) = k2_tarski(k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(X7,X8),k2_tarski(X7,X7))),k1_funct_1(X1,k2_tarski(k2_tarski(X9,X10),k2_tarski(X9,X9)))),k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(X7,X8),k2_tarski(X7,X7))),k1_funct_1(X0,k2_tarski(k2_tarski(X7,X8),k2_tarski(X7,X7))))) ),
inference(definition_unfolding,[],[f13132,f14454,f14454,f14454,f14454,f14454,f14454,f14454,f14454]) ).
fof(f15154,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k6_partfun1(X0) = k7_relat_1(k6_partfun1(X1),X0) ),
inference(definition_unfolding,[],[f13184,f14377,f14377]) ).
fof(f15155,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relat_1(X2,k6_partfun1(X1)) = X2 ),
inference(definition_unfolding,[],[f13185,f14377]) ).
fof(f15156,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relat_1(k6_partfun1(X0),X2) = X2 ),
inference(definition_unfolding,[],[f13186,f14377]) ).
fof(f15157,plain,
! [X0] :
( v1_xboole_0(X0)
| k6_partfun1(X0) != np__0 ),
inference(definition_unfolding,[],[f13187,f12649,f14377]) ).
fof(f15158,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| k5_relat_1(X1,k6_partfun1(X0)) = X1 ),
inference(definition_unfolding,[],[f13189,f14377]) ).
fof(f15159,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| k5_relat_1(k6_partfun1(X0),X1) = X1 ),
inference(definition_unfolding,[],[f13188,f14377]) ).
fof(f15161,plain,
! [X0] : r1_tarski(k6_partfun1(X0),k2_zfmisc_1(X0,X0)),
inference(definition_unfolding,[],[f13191,f14377]) ).
fof(f15162,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k9_relat_1(k6_partfun1(X0),X1) = X1 ),
inference(definition_unfolding,[],[f13192,f14377]) ).
fof(f15163,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,[],[f13193,f14377]) ).
fof(f15164,plain,
! [X0] : v2_funct_1(k6_partfun1(X0)),
inference(definition_unfolding,[],[f13194,f14377]) ).
fof(f15165,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,[],[f13195,f14377]) ).
fof(f15166,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,[],[f13196,f14377]) ).
fof(f15167,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,[],[f13197,f14377,f14377,f14377,f10623]) ).
fof(f15170,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,[],[f13202,f14377]) ).
fof(f15171,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,[],[f13201,f14377]) ).
fof(f15172,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,[],[f13200,f14377]) ).
fof(f15173,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,[],[f13203,f14377,f10623]) ).
fof(f15174,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,[],[f13204,f10623,f14377]) ).
fof(f15175,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| k1_funct_1(k6_partfun1(X0),X1) = X1 ),
inference(definition_unfolding,[],[f13205,f14377]) ).
fof(f15176,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| sK456(X0,X1) != k1_funct_1(X1,sK456(X0,X1))
| k1_relat_1(X1) != X0
| k6_partfun1(X0) = X1 ),
inference(definition_unfolding,[],[f13209,f14377]) ).
fof(f15177,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r2_hidden(sK456(X0,X1),X0)
| k1_relat_1(X1) != X0
| k6_partfun1(X0) = X1 ),
inference(definition_unfolding,[],[f13208,f14377]) ).
fof(f15180,plain,
! [X0] : v1_relat_1(k6_partfun1(X0)),
inference(definition_unfolding,[],[f13211,f14377]) ).
fof(f15181,plain,
! [X0] : v1_funct_1(k6_partfun1(X0)),
inference(definition_unfolding,[],[f13210,f14377]) ).
fof(f15182,plain,
! [X0] : v1_relat_1(k6_partfun1(X0)),
inference(definition_unfolding,[],[f13212,f14377]) ).
fof(f15183,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k8_relat_1(X0,X1) = k5_relat_1(X1,k6_partfun1(X0)) ),
inference(definition_unfolding,[],[f13213,f14377]) ).
fof(f15184,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k7_relat_1(X1,X0) = k5_relat_1(k6_partfun1(X0),X1) ),
inference(definition_unfolding,[],[f13214,f14377]) ).
fof(f15185,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,[],[f13215,f14377,f14377]) ).
fof(f15186,plain,
np__0 = k6_partfun1(np__0),
inference(definition_unfolding,[],[f13216,f12649,f14377,f12649]) ).
fof(f15187,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k5_relat_1(X0,k6_partfun1(k2_relat_1(X0))) = X0 ),
inference(definition_unfolding,[],[f13217,f14377]) ).
fof(f15188,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,[],[f13218,f14377]) ).
fof(f15189,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k5_relat_1(k6_partfun1(k1_relat_1(X0)),X0) = X0 ),
inference(definition_unfolding,[],[f13219,f14377]) ).
fof(f15190,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,[],[f13220,f14377]) ).
fof(f15191,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k5_relat_1(X1,k6_partfun1(X0)),X1) ),
inference(definition_unfolding,[],[f13222,f14377]) ).
fof(f15192,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k5_relat_1(k6_partfun1(X0),X1),X1) ),
inference(definition_unfolding,[],[f13221,f14377]) ).
fof(f15193,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X3)
| ~ r2_hidden(X1,X2)
| r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k5_relat_1(X3,k6_partfun1(X2))) ),
inference(definition_unfolding,[],[f13225,f14454,f14377,f14454]) ).
fof(f15194,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k5_relat_1(X3,k6_partfun1(X2)))
| r2_hidden(X1,X2) ),
inference(definition_unfolding,[],[f13224,f14454,f14377]) ).
fof(f15195,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k5_relat_1(X3,k6_partfun1(X2)))
| r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X3) ),
inference(definition_unfolding,[],[f13223,f14454,f14454,f14377]) ).
fof(f15196,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X3)
| ~ r2_hidden(X0,X2)
| r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k5_relat_1(k6_partfun1(X2),X3)) ),
inference(definition_unfolding,[],[f13228,f14454,f14377,f14454]) ).
fof(f15197,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k5_relat_1(k6_partfun1(X2),X3))
| r2_hidden(X0,X2) ),
inference(definition_unfolding,[],[f13227,f14454,f14377]) ).
fof(f15198,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k5_relat_1(k6_partfun1(X2),X3))
| r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X3) ),
inference(definition_unfolding,[],[f13226,f14454,f14454,f14377]) ).
fof(f15199,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK457(X0,X1),sK457(X0,X1)),k2_tarski(sK457(X0,X1),sK457(X0,X1))),X1)
| r1_tarski(k6_partfun1(X0),X1) ),
inference(definition_unfolding,[],[f13230,f14377,f14454]) ).
fof(f15200,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK457(X0,X1),X0)
| r1_tarski(k6_partfun1(X0),X1) ),
inference(definition_unfolding,[],[f13229,f14377]) ).
fof(f15201,plain,
! [X0] : k1_relat_1(k6_partfun1(X0)) = X0,
inference(definition_unfolding,[],[f13232,f14377]) ).
fof(f15202,plain,
! [X0] : k2_relat_1(k6_partfun1(X0)) = X0,
inference(definition_unfolding,[],[f13231,f14377]) ).
fof(f15203,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK458(X0,X1),sK459(X0,X1)),k2_tarski(sK458(X0,X1),sK458(X0,X1))),X1)
| sK458(X0,X1) != sK459(X0,X1)
| ~ r2_hidden(sK458(X0,X1),X0)
| k6_partfun1(X0) = X1 ),
inference(definition_unfolding,[],[f13238,f14377,f14454]) ).
fof(f15204,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(k2_tarski(k2_tarski(sK458(X0,X1),sK459(X0,X1)),k2_tarski(sK458(X0,X1),sK458(X0,X1))),X1)
| r2_hidden(sK458(X0,X1),X0)
| k6_partfun1(X0) = X1 ),
inference(definition_unfolding,[],[f13237,f14377,f14454]) ).
fof(f15205,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(k2_tarski(k2_tarski(sK458(X0,X1),sK459(X0,X1)),k2_tarski(sK458(X0,X1),sK458(X0,X1))),X1)
| sK458(X0,X1) = sK459(X0,X1)
| k6_partfun1(X0) = X1 ),
inference(definition_unfolding,[],[f13236,f14377,f14454]) ).
fof(f15206,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_tarski(X4,X4)),X1) ),
inference(definition_unfolding,[],[f13235,f14454,f14377]) ).
fof(f15207,plain,
! [X0,X1,X4,X5] :
( ~ v1_relat_1(X1)
| k6_partfun1(X0) != X1
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_tarski(X4,X4)),X1)
| r2_hidden(X4,X0) ),
inference(definition_unfolding,[],[f13234,f14454,f14377]) ).
fof(f15208,plain,
! [X0,X1,X4,X5] :
( ~ v1_relat_1(X1)
| k6_partfun1(X0) != X1
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_tarski(X4,X4)),X1)
| X4 = X5 ),
inference(definition_unfolding,[],[f13233,f14454,f14377]) ).
fof(f15209,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ r1_tarski(k6_partfun1(k3_relat_1(X0)),X0)
| v1_relat_2(X0) ),
inference(definition_unfolding,[],[f13249,f14377]) ).
fof(f15210,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_relat_2(X0)
| r1_tarski(k6_partfun1(k3_relat_1(X0)),X0) ),
inference(definition_unfolding,[],[f13248,f14377]) ).
fof(f15211,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,[],[f13251,f10623,f10623]) ).
fof(f15212,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0))) != X2
| k2_tarski(X0,X1) = k3_relat_1(X2) ),
inference(definition_unfolding,[],[f13253,f12402,f14454]) ).
fof(f15213,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2)
| r2_hidden(X0,k3_relat_1(X2)) ),
inference(definition_unfolding,[],[f13256,f14454]) ).
fof(f15214,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2)
| r2_hidden(X1,k3_relat_1(X2)) ),
inference(definition_unfolding,[],[f13255,f14454]) ).
fof(f15215,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_tarski(X1,X1))) ),
inference(definition_unfolding,[],[f13300,f14454]) ).
fof(f15216,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_tarski(X3,X3)),X2) ),
inference(definition_unfolding,[],[f13303,f14454]) ).
fof(f15217,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_tarski(X3,X3)),X2)
| k6_eqrel_1(X0,X2,X3) = k6_eqrel_1(X0,X2,X1) ),
inference(definition_unfolding,[],[f13302,f14454]) ).
fof(f15218,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| k6_eqrel_1(X0,k6_partfun1(X0),X1) = k2_tarski(X1,X1) ),
inference(definition_unfolding,[],[f13304,f12402]) ).
fof(f15219,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_tarski(X1,X1)),X4) ),
inference(definition_unfolding,[],[f13308,f14454]) ).
fof(f15220,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_tarski(X1,X1)),X3)
| r2_hidden(X1,k6_eqrel_1(X0,X3,X2)) ),
inference(definition_unfolding,[],[f13312,f14454]) ).
fof(f15221,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_tarski(X1,X1)),X3) ),
inference(definition_unfolding,[],[f13311,f14454]) ).
fof(f15222,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,[],[f13345,f12649]) ).
fof(f15223,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,sK474(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK474(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,[],[f13348,f12649]) ).
fof(f15224,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(sK474(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,[],[f13347,f12649]) ).
fof(f15225,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(sK474(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,[],[f13346,f12649]) ).
fof(f15226,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,sK475(X0,X1,X2,X3,X4)),X1)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| np__0 = X3 ),
inference(definition_unfolding,[],[f13351,f12649]) ).
fof(f15227,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(sK475(X0,X1,X2,X3,X4),X3)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| np__0 = X3 ),
inference(definition_unfolding,[],[f13350,f12649]) ).
fof(f15228,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(sK475(X0,X1,X2,X3,X4),X2)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| np__0 = X3 ),
inference(definition_unfolding,[],[f13349,f12649]) ).
fof(f15229,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,sK476(X0,X1,X2,X3,X4)) != X1
| k2_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f13355,f12649]) ).
fof(f15230,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(sK476(X0,X1,X2,X3,X4),X3)
| k2_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f13354,f12649]) ).
fof(f15231,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(sK476(X0,X1,X2,X3,X4),X2)
| k2_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f13353,f12649]) ).
fof(f15232,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,sK479(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK479(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,[],[f13370,f12649]) ).
fof(f15233,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(sK479(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,[],[f13369,f12649]) ).
fof(f15234,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(sK479(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,[],[f13368,f12649]) ).
fof(f15235,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,sK480(X0,X1,X2,X3,X4)))
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| np__0 = X3 ),
inference(definition_unfolding,[],[f13373,f12649]) ).
fof(f15236,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(sK480(X0,X1,X2,X3,X4),X3)
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| np__0 = X3 ),
inference(definition_unfolding,[],[f13372,f12649]) ).
fof(f15237,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(sK480(X0,X1,X2,X3,X4),X2)
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| np__0 = X3 ),
inference(definition_unfolding,[],[f13371,f12649]) ).
fof(f15238,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,[],[f13374,f12649]) ).
fof(f15239,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,sK481(X0,X1,X2,X3,X4)) != X1
| k3_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f13378,f12649]) ).
fof(f15240,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(sK481(X0,X1,X2,X3,X4),X3)
| k3_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f13377,f12649]) ).
fof(f15241,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(sK481(X0,X1,X2,X3,X4),X2)
| k3_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f13376,f12649]) ).
fof(f15242,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_realset1(X0)
| k5_realset1(X0,X1) = k2_tarski(X1,X1) ),
inference(definition_unfolding,[],[f13384,f12402]) ).
fof(f15243,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_tarski(sK486(X0),sK486(X0))))
| ~ v1_realset1(X0) ),
inference(definition_unfolding,[],[f13396,f12402]) ).
fof(f15244,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_realset1(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_tarski(sK487(X0),sK487(X0)))) ),
inference(definition_unfolding,[],[f13398,f12402]) ).
fof(f15245,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_tarski(sK488(X0),sK488(X0))))
| ~ v1_realset1(X0) ),
inference(definition_unfolding,[],[f13400,f12402]) ).
fof(f15246,plain,
! [X2,X0] :
( v1_xboole_0(X0)
| v1_realset1(X0)
| ~ v1_xboole_0(k4_xboole_0(X0,k2_tarski(X2,X2))) ),
inference(definition_unfolding,[],[f13399,f12402]) ).
fof(f15248,plain,
! [X0] :
( ~ v1_realset1(X0)
| k2_tarski(sK489(X0),sK489(X0)) = X0
| v1_xboole_0(X0) ),
inference(definition_unfolding,[],[f13401,f12402]) ).
fof(f15251,plain,
! [X0] : v1_realset1(k2_tarski(X0,X0)),
inference(definition_unfolding,[],[f13404,f12402]) ).
fof(f15252,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,sK493(X0,X1,X2)),k4_xboole_0(X0,k2_tarski(X1,X1)))
| m3_realset1(X2,X0,X1) ),
inference(definition_unfolding,[],[f13418,f12402]) ).
fof(f15253,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(sK493(X0,X1,X2),k2_zfmisc_1(k4_xboole_0(X0,k2_tarski(X1,X1)),k4_xboole_0(X0,k2_tarski(X1,X1))))
| m3_realset1(X2,X0,X1) ),
inference(definition_unfolding,[],[f13417,f12402,f12402]) ).
fof(f15254,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_tarski(X1,X1)),k4_xboole_0(X0,k2_tarski(X1,X1))))
| r2_hidden(k1_funct_1(X2,X4),k4_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(definition_unfolding,[],[f13416,f12402,f12402,f12402]) ).
fof(f15255,plain,
! [X0,X1] :
( ~ v1_classes2(X1)
| v1_xboole_0(X1)
| ~ r2_hidden(X0,X1)
| r2_hidden(k2_tarski(X0,X0),X1) ),
inference(definition_unfolding,[],[f13455,f12402]) ).
fof(f15256,plain,
! [X0] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| r2_hidden(np__0,X0) ),
inference(definition_unfolding,[],[f13456,f12649]) ).
fof(f15257,plain,
! [X0,X1] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ~ v1_classes2(X1)
| v1_xboole_0(X1)
| ~ v1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f13458,f10623]) ).
fof(f15258,plain,
! [X0,X1] :
( ~ v1_classes2(X0)
| v1_xboole_0(X0)
| ~ v1_classes2(X1)
| v1_xboole_0(X1)
| v1_classes2(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f13457,f10623]) ).
fof(f15259,plain,
! [X2,X0,X1] :
( ~ v1_classes2(X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| r2_hidden(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2) ),
inference(definition_unfolding,[],[f13478,f10623]) ).
fof(f15260,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(k4_xboole_0(sK498(X0),k4_xboole_0(sK498(X0),sK499(X0))),X0)
| ~ r2_hidden(k5_xboole_0(sK498(X0),sK499(X0)),X0)
| v4_finsub_1(X0) ),
inference(definition_unfolding,[],[f13488,f10623]) ).
fof(f15261,plain,
! [X0,X1] :
( X0 = X1
| k2_tarski(X0,X1) = k5_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) ),
inference(definition_unfolding,[],[f13496,f12402,f12402]) ).
fof(f15262,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,[],[f13497,f10623,f10623,f10623]) ).
fof(f15263,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| r1_tarski(X0,k5_xboole_0(X1,X2)) ),
inference(definition_unfolding,[],[f13501,f10623]) ).
fof(f15264,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,[],[f13499,f10623]) ).
fof(f15265,plain,
! [X0,X1] : r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k5_xboole_0(X0,X1)),
inference(definition_unfolding,[],[f13502,f10623]) ).
fof(f15266,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)),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,[],[f13503,f10623,f10623]) ).
fof(f15267,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k5_xboole_0(k5_xboole_0(X0,X1),k2_xboole_0(X0,X1)),
inference(definition_unfolding,[],[f13510,f10623]) ).
fof(f15269,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(k5_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f13512,f10623]) ).
fof(f15270,plain,
! [X0] : k5_xboole_0(X0,X0) = np__0,
inference(definition_unfolding,[],[f13513,f12649]) ).
fof(f15271,plain,
! [X0] : k5_xboole_0(X0,np__0) = X0,
inference(definition_unfolding,[],[f13515,f12649]) ).
fof(f15275,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X0)
| ~ v2_classes1(X0)
| r2_hidden(k2_tarski(k2_tarski(X1,X2),k2_tarski(X1,X1)),X0) ),
inference(definition_unfolding,[],[f13554,f14454]) ).
fof(f15276,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X0)
| ~ v2_classes1(X0)
| r2_hidden(k2_tarski(X1,X1),X0) ),
inference(definition_unfolding,[],[f13556,f12402]) ).
fof(f15277,plain,
! [X0] : np__0 != k1_card_1(k1_classes1(X0)),
inference(definition_unfolding,[],[f13560,f12649]) ).
fof(f15278,plain,
v4_ordinal1(np__0),
inference(definition_unfolding,[],[f13565,f12649]) ).
fof(f15279,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k1_setfam_1(k2_tarski(X0,X1)),
inference(definition_unfolding,[],[f13795,f10623]) ).
fof(f15280,plain,
! [X0] : k1_setfam_1(k2_tarski(X0,X0)) = X0,
inference(definition_unfolding,[],[f13796,f12402]) ).
fof(f15281,plain,
! [X0,X1] :
( k1_setfam_1(k2_xboole_0(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,[],[f13797,f12649,f12649,f10623]) ).
fof(f15282,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_setfam_1(X1),k1_setfam_1(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f13800,f12649]) ).
fof(f15283,plain,
! [X0,X1] :
( ~ r1_tarski(X1,sK536(X0,X1))
| r1_tarski(X1,k1_setfam_1(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f13802,f12649]) ).
fof(f15284,plain,
! [X0,X1] :
( r2_hidden(sK536(X0,X1),X0)
| r1_tarski(X1,k1_setfam_1(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f13801,f12649]) ).
fof(f15285,plain,
! [X0] :
( ~ r2_hidden(np__0,X0)
| k1_setfam_1(X0) = np__0 ),
inference(definition_unfolding,[],[f13803,f12649,f12649]) ).
fof(f15287,plain,
! [X0,X1] :
( np__0 = X0
| ~ r2_hidden(sK537(X0,X1),X1)
| ~ r2_hidden(sK537(X0,X1),sK538(X0,X1))
| k1_setfam_1(X0) = X1 ),
inference(definition_unfolding,[],[f13814,f12649]) ).
fof(f15288,plain,
! [X0,X1] :
( np__0 = X0
| ~ r2_hidden(sK537(X0,X1),X1)
| r2_hidden(sK538(X0,X1),X0)
| k1_setfam_1(X0) = X1 ),
inference(definition_unfolding,[],[f13813,f12649]) ).
fof(f15289,plain,
! [X0,X1,X4] :
( np__0 = X0
| r2_hidden(sK537(X0,X1),X1)
| ~ r2_hidden(X4,X0)
| r2_hidden(sK537(X0,X1),X4)
| k1_setfam_1(X0) = X1 ),
inference(definition_unfolding,[],[f13812,f12649]) ).
fof(f15290,plain,
! [X0,X1,X5] :
( np__0 = X0
| k1_setfam_1(X0) != X1
| ~ r2_hidden(X5,sK539(X0,X5))
| r2_hidden(X5,X1) ),
inference(definition_unfolding,[],[f13811,f12649]) ).
fof(f15291,plain,
! [X0,X1,X5] :
( np__0 = X0
| k1_setfam_1(X0) != X1
| r2_hidden(sK539(X0,X5),X0)
| r2_hidden(X5,X1) ),
inference(definition_unfolding,[],[f13810,f12649]) ).
fof(f15292,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,[],[f13809,f12649]) ).
fof(f15294,plain,
! [X0,X1] :
( np__0 != X0
| k1_setfam_1(X0) != X1
| np__0 = X1 ),
inference(definition_unfolding,[],[f13807,f12649,f12649]) ).
fof(f15295,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_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X1,X2),k2_tarski(X1,X1)),k2_tarski(k2_tarski(X1,X3),k2_tarski(X1,X1))),
inference(definition_unfolding,[],[f13816,f14454,f14454,f14454,f14454]) ).
fof(f15296,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,[],[f13817,f12649]) ).
fof(f15298,plain,
! [X0] : k2_tarski(np__0,np__0) = k1_funct_2(np__0,X0),
inference(definition_unfolding,[],[f13855,f12402,f12649,f12649]) ).
fof(f15299,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ r1_tarski(X3,X0)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X4,k1_funct_2(X2,X3))
| v1_funct_1(X4)
| np__0 = k1_funct_2(X2,X3) ),
inference(definition_unfolding,[],[f13859,f12649]) ).
fof(f15300,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ r1_tarski(X3,X0)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X4,k1_funct_2(X2,X3))
| m2_relset_1(X4,X1,X0)
| np__0 = k1_funct_2(X2,X3) ),
inference(definition_unfolding,[],[f13858,f12649]) ).
fof(f15301,plain,
! [X0] :
( np__0 = X0
| np__0 = k1_funct_2(X0,np__0) ),
inference(definition_unfolding,[],[f13866,f12649,f12649,f12649]) ).
fof(f15302,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| np__0 != X0
| r2_hidden(X2,k1_funct_2(X0,X1)) ),
inference(definition_unfolding,[],[f13869,f12649]) ).
fof(f15303,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| np__0 = X1
| r2_hidden(X2,k1_funct_2(X0,X1)) ),
inference(definition_unfolding,[],[f13868,f12649]) ).
fof(f15304,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ v3_ordinal1(X1)
| ~ r1_ordinal1(k2_xboole_0(X0,k2_tarski(X0,X0)),k2_xboole_0(X1,k2_tarski(X1,X1)))
| r1_ordinal1(X0,X1) ),
inference(definition_unfolding,[],[f13909,f14456,f14456]) ).
fof(f15305,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ v3_ordinal1(X1)
| ~ r1_ordinal1(X0,X1)
| r1_ordinal1(k2_xboole_0(X0,k2_tarski(X0,X0)),k2_xboole_0(X1,k2_tarski(X1,X1))) ),
inference(definition_unfolding,[],[f13908,f14456,f14456]) ).
fof(f15306,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ v3_ordinal1(X1)
| ~ r1_ordinal1(X0,X1)
| r2_hidden(X0,k2_xboole_0(X1,k2_tarski(X1,X1))) ),
inference(definition_unfolding,[],[f13918,f14456]) ).
fof(f15307,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ v3_ordinal1(X1)
| ~ r2_hidden(X0,k2_xboole_0(X1,k2_tarski(X1,X1)))
| r1_ordinal1(X0,X1) ),
inference(definition_unfolding,[],[f13917,f14456]) ).
fof(f15308,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ v3_ordinal1(X1)
| ~ r1_ordinal1(k2_xboole_0(X0,k2_tarski(X0,X0)),X1)
| r2_hidden(X0,X1) ),
inference(definition_unfolding,[],[f13920,f14456]) ).
fof(f15309,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ v3_ordinal1(X1)
| ~ r2_hidden(X0,X1)
| r1_ordinal1(k2_xboole_0(X0,k2_tarski(X0,X0)),X1) ),
inference(definition_unfolding,[],[f13919,f14456]) ).
fof(f15310,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| r2_hidden(sK547(X0),X0)
| np__0 = X0
| ~ r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f13923,f12649]) ).
fof(f15311,plain,
! [X3,X0,X1] :
( ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X3)
| ~ r2_hidden(X3,X0)
| r1_ordinal1(sK547(X0),X3)
| np__0 = X0
| ~ r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f13922,f12649]) ).
fof(f15312,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| v3_ordinal1(sK547(X0))
| np__0 = X0
| ~ r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f13921,f12649]) ).
fof(f15313,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| k13_qc_lang1(X0,X1) = k7_finseq_1(k7_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__2,np__0),k2_tarski(np__2,np__2))),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__2,np__0),k2_tarski(np__2,np__2))),k2_tarski(np__1,np__1))),k10_qc_lang1(X0)),k10_qc_lang1(X1)) ),
inference(definition_unfolding,[],[f14005,f14455,f14454]) ).
fof(f15314,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| k12_qc_lang1(X0) = k7_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__1,np__0),k2_tarski(np__1,np__1))),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__1,np__0),k2_tarski(np__1,np__1))),k2_tarski(np__1,np__1))),k10_qc_lang1(X0)) ),
inference(definition_unfolding,[],[f14006,f14455,f14454]) ).
fof(f15315,plain,
k11_qc_lang1 = k2_tarski(k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__0,np__0),k2_tarski(np__0,np__0))),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__0,np__0),k2_tarski(np__0,np__0))),k2_tarski(np__1,np__1))),
inference(definition_unfolding,[],[f14007,f14455,f14454]) ).
fof(f15316,plain,
! [X0] : v1_relat_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))),
inference(definition_unfolding,[],[f14009,f14455]) ).
fof(f15317,plain,
! [X0] : v1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))),
inference(definition_unfolding,[],[f14008,f14455]) ).
fof(f15318,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k7_finseq_1(sK560(X0),k2_tarski(k2_tarski(k2_tarski(np__1,sK561(X0)),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,sK561(X0)),k2_tarski(np__1,np__1)))) = X0
| np__0 = X0 ),
inference(definition_unfolding,[],[f14013,f12649,f14455]) ).
fof(f15319,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_relat_1(sK560(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f14012,f12649]) ).
fof(f15320,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(sK560(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f14011,f12649]) ).
fof(f15321,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finseq_1(sK560(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f14010,f12649]) ).
fof(f15322,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(k7_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))),X1),np__1) = X0 ),
inference(definition_unfolding,[],[f14014,f14455]) ).
fof(f15323,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(X1,np__1) != X0
| np__1 != k3_finseq_1(X1)
| k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))) = X1 ),
inference(definition_unfolding,[],[f14017,f14455]) ).
fof(f15325,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))) != X1
| k1_funct_1(X1,np__1) = X0 ),
inference(definition_unfolding,[],[f14015,f14455]) ).
fof(f15326,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_tarski(X0,X0) != k2_relat_1(X1)
| np__1 != k3_finseq_1(X1)
| k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))) = X1 ),
inference(definition_unfolding,[],[f14020,f14455,f12402]) ).
fof(f15327,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))) != X1
| np__1 = k3_finseq_1(X1) ),
inference(definition_unfolding,[],[f14019,f14455]) ).
fof(f15329,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(X1,np__1) != X0
| k1_relat_1(X1) != k2_finseq_1(np__1)
| k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))) = X1 ),
inference(definition_unfolding,[],[f14024,f14455]) ).
fof(f15330,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))) != X1
| k1_relat_1(X1) = k2_finseq_1(np__1) ),
inference(definition_unfolding,[],[f14023,f14455]) ).
fof(f15331,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))) != X1
| k1_funct_1(X1,np__1) = X0 ),
inference(definition_unfolding,[],[f14022,f14455]) ).
fof(f15332,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X2),X0)
| ~ r1_tarski(k2_relat_1(X1),X0)
| k1_card_1(k10_relat_1(X1,k2_tarski(sK567(X0,X1,X2),sK567(X0,X1,X2)))) != k1_card_1(k10_relat_1(X2,k2_tarski(sK567(X0,X1,X2),sK567(X0,X1,X2))))
| r1_rfinseq(X1,X2) ),
inference(definition_unfolding,[],[f14074,f12402,f12402]) ).
fof(f15334,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k1_card_1(k10_relat_1(X0,k2_tarski(sK570(X0,X1),sK570(X0,X1)))) != k1_card_1(k10_relat_1(X1,k2_tarski(sK570(X0,X1),sK570(X0,X1))))
| r1_rfinseq(X0,X1) ),
inference(definition_unfolding,[],[f14087,f12402,f12402]) ).
fof(f15335,plain,
! [X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_rfinseq(X0,X1)
| k1_card_1(k10_relat_1(X1,k2_tarski(X3,X3))) = k1_card_1(k10_relat_1(X0,k2_tarski(X3,X3))) ),
inference(definition_unfolding,[],[f14086,f12402,f12402]) ).
fof(f15336,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,sK580(X0,X2,X3,X6),sK581(X0,X2,X3,X6))) != k2_binop_1(X0,X0,X0,X3,k8_funct_2(k5_finsub_1(X2),X0,X6,sK580(X0,X2,X3,X6)),k8_funct_2(k5_finsub_1(X2),X0,X6,sK581(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,[],[f14151,f12649]) ).
fof(f15337,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(sK581(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,[],[f14150,f12649]) ).
fof(f15338,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(sK580(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,[],[f14149,f12649]) ).
fof(f15339,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k2_setwiseo(X0,X1) = k2_tarski(X1,X1) ),
inference(definition_unfolding,[],[f14170,f12402]) ).
fof(f15340,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,[],[f14176,f12649,f12649]) ).
fof(f15341,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_tarski(k8_funct_2(X1,X0,X2,X3),k8_funct_2(X1,X0,X2,X3)) = k2_funct_2(X1,X0,X2,k2_tarski(X3,X3)) ),
inference(definition_unfolding,[],[f14180,f12402,f12402]) ).
fof(f15342,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,k2_tarski(X0,X0),X1)
| ~ v1_funct_2(X3,k2_tarski(X0,X0),X1)
| ~ v1_funct_1(X3)
| np__0 = X1
| r1_tarski(k2_funct_2(k2_tarski(X0,X0),X1,X3,X2),k2_tarski(k1_funct_1(X3,X0),k1_funct_1(X3,X0))) ),
inference(definition_unfolding,[],[f14191,f12402,f12402,f12649,f12402,f12402]) ).
fof(f15343,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,[],[f14192,f12649,f12649,f12649,f12649]) ).
fof(f15344,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,[],[f14194,f12649]) ).
fof(f15345,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,[],[f14193,f12649]) ).
fof(f15346,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,[],[f14239,f10623]) ).
fof(f15347,plain,
! [X0] : np__0 = k8_relat_1(X0,np__0),
inference(definition_unfolding,[],[f14268,f12649,f12649]) ).
fof(f15348,plain,
! [X0] :
( ~ v1_relat_1(X0)
| np__0 = k8_relat_1(np__0,X0) ),
inference(definition_unfolding,[],[f14269,f12649,f12649]) ).
fof(f15349,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,[],[f14271,f10623,f10623]) ).
fof(f15350,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,[],[f14279,f10623]) ).
fof(f15351,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,[],[f14282,f10623]) ).
fof(f15352,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,[],[f14286,f10623]) ).
fof(f15353,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK593(X0,X1,X2),sK594(X0,X1,X2)),k2_tarski(sK593(X0,X1,X2),sK593(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK593(X0,X1,X2),sK594(X0,X1,X2)),k2_tarski(sK593(X0,X1,X2),sK593(X0,X1,X2))),X1)
| ~ r2_hidden(sK594(X0,X1,X2),X0)
| k8_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f14298,f14454,f14454]) ).
fof(f15354,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK593(X0,X1,X2),sK594(X0,X1,X2)),k2_tarski(sK593(X0,X1,X2),sK593(X0,X1,X2))),X2)
| r2_hidden(sK594(X0,X1,X2),X0)
| k8_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f14297,f14454]) ).
fof(f15355,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK593(X0,X1,X2),sK594(X0,X1,X2)),k2_tarski(sK593(X0,X1,X2),sK593(X0,X1,X2))),X2)
| r2_hidden(k2_tarski(k2_tarski(sK593(X0,X1,X2),sK594(X0,X1,X2)),k2_tarski(sK593(X0,X1,X2),sK593(X0,X1,X2))),X1)
| k8_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f14296,f14454,f14454]) ).
fof(f15356,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_tarski(X5,X5)),X1)
| ~ r2_hidden(X6,X0)
| r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_tarski(X5,X5)),X2) ),
inference(definition_unfolding,[],[f14295,f14454,f14454]) ).
fof(f15357,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_tarski(X5,X5)),X2)
| r2_hidden(X6,X0) ),
inference(definition_unfolding,[],[f14294,f14454]) ).
fof(f15358,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_tarski(X5,X5)),X2)
| r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_tarski(X5,X5)),X1) ),
inference(definition_unfolding,[],[f14293,f14454,f14454]) ).
fof(f15359,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,[],[f14299,f12649]) ).
fof(f15360,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_tarski(X1,X1)),X2) ),
inference(definition_unfolding,[],[f14300,f14454]) ).
fof(f15361,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,[],[f14303,f10623]) ).
fof(f15362,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,[],[f14318,f10623]) ).
fof(f15363,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,[],[f14319,f10623]) ).
fof(f15364,plain,
! [X0] : k6_partfun1(X0) = k4_relat_1(k6_partfun1(X0)),
inference(definition_unfolding,[],[f14320,f14377,f14377]) ).
fof(f15365,plain,
np__0 = k4_relat_1(np__0),
inference(definition_unfolding,[],[f14321,f12649,f12649]) ).
fof(f15366,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,[],[f14325,f10623,f10623]) ).
fof(f15367,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK595(X0,X1),sK596(X0,X1)),k2_tarski(sK595(X0,X1),sK595(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK596(X0,X1),sK595(X0,X1)),k2_tarski(sK596(X0,X1),sK596(X0,X1))),X0)
| k4_relat_1(X0) = X1 ),
inference(definition_unfolding,[],[f14331,f14454,f14454]) ).
fof(f15368,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r2_hidden(k2_tarski(k2_tarski(sK595(X0,X1),sK596(X0,X1)),k2_tarski(sK595(X0,X1),sK595(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK596(X0,X1),sK595(X0,X1)),k2_tarski(sK596(X0,X1),sK596(X0,X1))),X0)
| k4_relat_1(X0) = X1 ),
inference(definition_unfolding,[],[f14330,f14454,f14454]) ).
fof(f15369,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_tarski(X5,X5)),X0)
| r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_tarski(X4,X4)),X1) ),
inference(definition_unfolding,[],[f14329,f14454,f14454]) ).
fof(f15370,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_tarski(X4,X4)),X1)
| r2_hidden(k2_tarski(k2_tarski(X5,X4),k2_tarski(X5,X5)),X0) ),
inference(definition_unfolding,[],[f14328,f14454,f14454]) ).
fof(f15371,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,[],[f14376,f12649]) ).
fof(f15372,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,[],[f14375,f12649]) ).
fof(f15374,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,[],[f14419,f12649]) ).
fof(f15375,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,[],[f14418,f12649]) ).
fof(f15376,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,[],[f14417,f12649]) ).
fof(f15377,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,[],[f14416,f12649]) ).
fof(f15378,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,[],[f14415,f12649]) ).
fof(f15379,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,[],[f14424,f10623]) ).
fof(f15380,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) != k2_tarski(X1,X1)
| v3_realset2(X0) ),
inference(definition_unfolding,[],[f14427,f12402]) ).
fof(f15381,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v3_realset2(X0)
| u1_struct_0(X0) = k2_tarski(sK606(X0),sK606(X0)) ),
inference(definition_unfolding,[],[f14426,f12402]) ).
fof(f15382,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,[],[f14461]) ).
fof(f15383,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,[],[f14462]) ).
fof(f15384,plain,
! [X3,X0] :
( ~ r1_tarski(X3,X0)
| r2_hidden(X3,k1_zfmisc_1(X0)) ),
inference(equality_resolution,[],[f10446]) ).
fof(f15385,plain,
! [X3,X0] :
( ~ r2_hidden(X3,k1_zfmisc_1(X0))
| r1_tarski(X3,X0) ),
inference(equality_resolution,[],[f10445]) ).
fof(f15386,plain,
! [X2,X1] :
( ~ sP3(k6_pre_topc(X2,X1),X1,X2)
| sP2(X2,X1,k6_pre_topc(X2,X1)) ),
inference(equality_resolution,[],[f10497]) ).
fof(f15387,plain,
! [X3,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(k2_xboole_0(X0,X1))
| ~ v1_relat_1(k2_xboole_0(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,[],[f14472]) ).
fof(f15388,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,[],[f14528]) ).
fof(f15390,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f14530]) ).
fof(f15391,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,[],[f10657]) ).
fof(f15393,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,[],[f14537]) ).
fof(f15394,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,[],[f14538]) ).
fof(f15398,plain,
! [X2,X1] : r2_hidden(X2,k2_xboole_0(X1,k2_tarski(X2,X2))),
inference(equality_resolution,[],[f14560]) ).
fof(f15399,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,X0)
| r2_hidden(X4,k2_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f10878]) ).
fof(f15400,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,X1)
| r2_hidden(X4,k2_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f10877]) ).
fof(f15401,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k2_xboole_0(X0,X1))
| r2_hidden(X4,X1)
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f10876]) ).
fof(f15404,plain,
! [X2,X1] :
( ~ sP6(k8_filter_0(X1,X2),X1,X2)
| sP5(X2,X1,k8_filter_0(X1,X2)) ),
inference(equality_resolution,[],[f10904]) ).
fof(f15408,plain,
! [X2,X3,X0,X4] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| X2 != X4
| k3_lopclset(X0,X3,X4) = k2_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X3,X2) ),
inference(equality_resolution,[],[f10928]) ).
fof(f15409,plain,
! [X3,X0,X4] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ~ m1_subset_1(X4,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k3_lopclset(X0,X3,X4) = k2_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X3,X4) ),
inference(equality_resolution,[],[f15408]) ).
fof(f15410,plain,
! [X2,X3,X0,X4] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| X2 != X4
| k2_lopclset(X0,X3,X4) = k1_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X3,X2) ),
inference(equality_resolution,[],[f10929]) ).
fof(f15411,plain,
! [X3,X0,X4] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ~ m1_subset_1(X4,u1_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))))
| ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k2_lopclset(X0,X3,X4) = k1_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)),X3,X4) ),
inference(equality_resolution,[],[f15410]) ).
fof(f15412,plain,
! [X0,X4,X5] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(k4_lopclset(X0))
| ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m2_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k2_lopclset(X0,X4,X5) = k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),k4_lopclset(X0),X4,X5) ),
inference(equality_resolution,[],[f10930]) ).
fof(f15413,plain,
! [X0,X4,X5] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v1_funct_1(k5_lopclset(X0))
| ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m2_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| k3_lopclset(X0,X4,X5) = k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),k5_lopclset(X0),X4,X5) ),
inference(equality_resolution,[],[f10937]) ).
fof(f15414,plain,
! [X1] : np__0 = k2_zfmisc_1(np__0,X1),
inference(equality_resolution,[],[f14585]) ).
fof(f15415,plain,
! [X0] : np__0 = k2_zfmisc_1(X0,np__0),
inference(equality_resolution,[],[f14586]) ).
fof(f15416,plain,
! [X2] : ~ r2_hidden(X2,np__0),
inference(equality_resolution,[],[f14610]) ).
fof(f15417,plain,
! [X1] : ~ r1_xboole_0(k2_tarski(X1,X1),k2_tarski(X1,X1)),
inference(equality_resolution,[],[f14637]) ).
fof(f15421,plain,
! [X2,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k1_funct_1(X2,sK144(k1_relat_1(X2),X1,X2)),X1)
| v1_funct_2(X2,k1_relat_1(X2),X1) ),
inference(equality_resolution,[],[f11155]) ).
fof(f15422,plain,
! [X2,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK144(k1_relat_1(X2),X1,X2),k1_relat_1(X2))
| v1_funct_2(X2,k1_relat_1(X2),X1) ),
inference(equality_resolution,[],[f11154]) ).
fof(f15423,plain,
! [X2,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k1_funct_1(X2,sK144(k1_relat_1(X2),X1,X2)),X1)
| m2_relset_1(X2,k1_relat_1(X2),X1) ),
inference(equality_resolution,[],[f11153]) ).
fof(f15424,plain,
! [X2,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK144(k1_relat_1(X2),X1,X2),k1_relat_1(X2))
| m2_relset_1(X2,k1_relat_1(X2),X1) ),
inference(equality_resolution,[],[f11152]) ).
fof(f15425,plain,
! [X0] : np__0 = k1_relat_1(sK146(X0,np__0)),
inference(equality_resolution,[],[f14668]) ).
fof(f15426,plain,
! [X0] : r1_tarski(k2_relat_1(sK146(X0,np__0)),X0),
inference(equality_resolution,[],[f14669]) ).
fof(f15427,plain,
! [X0] : v1_relat_1(sK146(X0,np__0)),
inference(equality_resolution,[],[f14670]) ).
fof(f15428,plain,
! [X0] : v1_funct_1(sK146(X0,np__0)),
inference(equality_resolution,[],[f14671]) ).
fof(f15429,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,[],[f11195]) ).
fof(f15430,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,[],[f15429]) ).
fof(f15431,plain,
! [X0,X5] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X5,k2_relat_1(X0))
| r2_hidden(sK150(X0,X5),k1_relat_1(X0)) ),
inference(equality_resolution,[],[f11194]) ).
fof(f15432,plain,
! [X0,X5] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X5,k2_relat_1(X0))
| k1_funct_1(X0,sK150(X0,X5)) = X5 ),
inference(equality_resolution,[],[f11193]) ).
fof(f15433,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(sK162(X0,X2,X3),X0)
| ~ r2_hidden(X2,k2_relat_1(X3)) ),
inference(equality_resolution,[],[f11233]) ).
fof(f15434,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,sK162(X0,X2,X3)) = X2
| ~ r2_hidden(X2,k2_relat_1(X3)) ),
inference(equality_resolution,[],[f11232]) ).
fof(f15435,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_tarski(X0,X0)),X2) ),
inference(equality_resolution,[],[f14696]) ).
fof(f15438,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,[],[f14702]) ).
fof(f15439,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,[],[f11257]) ).
fof(f15440,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_tarski(X9,X9)),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X9),k2_tarski(X7,X7)),X0)
| r2_hidden(k2_tarski(k2_tarski(X7,X8),k2_tarski(X7,X7)),k5_relat_1(X0,X1)) ),
inference(equality_resolution,[],[f14709]) ).
fof(f15441,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_tarski(X7,X7)),k5_relat_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(X7,sK173(X0,X1,X7,X8)),k2_tarski(X7,X7)),X0) ),
inference(equality_resolution,[],[f14710]) ).
fof(f15442,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_tarski(X7,X7)),k5_relat_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(sK173(X0,X1,X7,X8),X8),k2_tarski(sK173(X0,X1,X7,X8),sK173(X0,X1,X7,X8))),X1) ),
inference(equality_resolution,[],[f14711]) ).
fof(f15444,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,[],[f14716]) ).
fof(f15445,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,[],[f14717]) ).
fof(f15448,plain,
! [X0,X6,X5] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(X6,X5),k2_tarski(X6,X6)),X0)
| r2_hidden(X5,k2_relat_1(X0)) ),
inference(equality_resolution,[],[f14727]) ).
fof(f15449,plain,
! [X0,X5] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X5,k2_relat_1(X0))
| r2_hidden(k2_tarski(k2_tarski(sK176(X0,X5),X5),k2_tarski(sK176(X0,X5),sK176(X0,X5))),X0) ),
inference(equality_resolution,[],[f14728]) ).
fof(f15450,plain,
! [X0,X6,X5] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_tarski(X5,X5)),X0)
| r2_hidden(X5,k1_relat_1(X0)) ),
inference(equality_resolution,[],[f14746]) ).
fof(f15451,plain,
! [X0,X5] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X5,k1_relat_1(X0))
| r2_hidden(k2_tarski(k2_tarski(X5,sK196(X0,X5)),k2_tarski(X5,X5)),X0) ),
inference(equality_resolution,[],[f14747]) ).
fof(f15454,plain,
! [X2,X3,X0] :
( ~ r2_hidden(X0,X2)
| r2_hidden(k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)),k2_zfmisc_1(X2,k2_tarski(X3,X3))) ),
inference(equality_resolution,[],[f14758]) ).
fof(f15455,plain,
! [X2,X3,X1] :
( ~ r2_hidden(X1,X3)
| r2_hidden(k2_tarski(k2_tarski(X2,X1),k2_tarski(X2,X2)),k2_zfmisc_1(k2_tarski(X2,X2),X3)) ),
inference(equality_resolution,[],[f14761]) ).
fof(f15456,plain,
! [X2,X3,X1] :
( X1 != X3
| r2_hidden(k2_tarski(k2_tarski(X2,X1),k2_tarski(X2,X2)),k2_zfmisc_1(k2_tarski(X2,X2),k2_tarski(X3,X3))) ),
inference(equality_resolution,[],[f14789]) ).
fof(f15457,plain,
! [X2,X3] : r2_hidden(k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)),k2_zfmisc_1(k2_tarski(X2,X2),k2_tarski(X3,X3))),
inference(equality_resolution,[],[f15456]) ).
fof(f15458,plain,
! [X2,X10,X0,X1,X9] :
( k2_zfmisc_1(X0,X1) != X2
| ~ r2_hidden(X10,X1)
| ~ r2_hidden(X9,X0)
| r2_hidden(k2_tarski(k2_tarski(X9,X10),k2_tarski(X9,X9)),X2) ),
inference(equality_resolution,[],[f14796]) ).
fof(f15459,plain,
! [X10,X0,X1,X9] :
( ~ r2_hidden(X10,X1)
| ~ r2_hidden(X9,X0)
| r2_hidden(k2_tarski(k2_tarski(X9,X10),k2_tarski(X9,X9)),k2_zfmisc_1(X0,X1)) ),
inference(equality_resolution,[],[f15458]) ).
fof(f15460,plain,
! [X0,X1,X8] :
( ~ r2_hidden(X8,k2_zfmisc_1(X0,X1))
| r2_hidden(sK224(X0,X1,X8),X0) ),
inference(equality_resolution,[],[f11432]) ).
fof(f15461,plain,
! [X0,X1,X8] :
( ~ r2_hidden(X8,k2_zfmisc_1(X0,X1))
| r2_hidden(sK225(X0,X1,X8),X1) ),
inference(equality_resolution,[],[f11431]) ).
fof(f15462,plain,
! [X0,X1,X8] :
( ~ r2_hidden(X8,k2_zfmisc_1(X0,X1))
| k2_tarski(k2_tarski(sK224(X0,X1,X8),sK225(X0,X1,X8)),k2_tarski(sK224(X0,X1,X8),sK224(X0,X1,X8))) = X8 ),
inference(equality_resolution,[],[f14797]) ).
fof(f15467,plain,
! [X3,X0] :
( ~ r2_hidden(X3,k2_tarski(X0,X0))
| X0 = X3 ),
inference(equality_resolution,[],[f14820]) ).
fof(f15468,plain,
! [X2,X1] : ~ r2_hidden(X2,k4_xboole_0(X1,k2_tarski(X2,X2))),
inference(equality_resolution,[],[f14833]) ).
fof(f15469,plain,
! [X1] : k2_tarski(X1,X1) != k4_xboole_0(k2_tarski(X1,X1),k2_tarski(X1,X1)),
inference(equality_resolution,[],[f14837]) ).
fof(f15470,plain,
! [X0,X1,X4] :
( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,k4_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f11500]) ).
fof(f15471,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k4_xboole_0(X0,X1))
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f11499]) ).
fof(f15472,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k4_xboole_0(X0,X1))
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f11498]) ).
fof(f15473,plain,
! [X0,X6,X5] :
( ~ r2_hidden(X6,X0)
| ~ r2_hidden(X5,X6)
| r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f11544]) ).
fof(f15474,plain,
! [X0,X5] :
( ~ r2_hidden(X5,k3_tarski(X0))
| r2_hidden(X5,sK244(X0,X5)) ),
inference(equality_resolution,[],[f11543]) ).
fof(f15475,plain,
! [X0,X5] :
( ~ r2_hidden(X5,k3_tarski(X0))
| r2_hidden(sK244(X0,X5),X0) ),
inference(equality_resolution,[],[f11542]) ).
fof(f15476,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,[],[f11564]) ).
fof(f15477,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,[],[f14853]) ).
fof(f15480,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,[],[f11648]) ).
fof(f15481,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,[],[f11660]) ).
fof(f15482,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,[],[f11659]) ).
fof(f15483,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))
| sP10(X0,k7_finseq_1(X0,X1),X1) ),
inference(equality_resolution,[],[f11658]) ).
fof(f15484,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,[],[f11665]) ).
fof(f15485,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,[],[f11664]) ).
fof(f15486,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,[],[f11670]) ).
fof(f15488,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,[],[f14875]) ).
fof(f15489,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,[],[f11890]) ).
fof(f15490,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,[],[f11889]) ).
fof(f15491,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,[],[f11888]) ).
fof(f15492,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,[],[f11903]) ).
fof(f15493,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,[],[f11934]) ).
fof(f15494,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,[],[f15493]) ).
fof(f15495,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,[],[f11935]) ).
fof(f15496,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,[],[f15495]) ).
fof(f15497,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,[],[f11937]) ).
fof(f15498,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,[],[f15497]) ).
fof(f15499,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,[],[f11936]) ).
fof(f15500,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,[],[f15499]) ).
fof(f15503,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,[],[f11968]) ).
fof(f15504,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,[],[f15503]) ).
fof(f15505,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,[],[f11967]) ).
fof(f15506,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,[],[f15505]) ).
fof(f15507,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,[],[f11970]) ).
fof(f15508,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,[],[f15507]) ).
fof(f15509,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,[],[f11969]) ).
fof(f15510,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,[],[f15509]) ).
fof(f15511,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,[],[f11988]) ).
fof(f15512,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,[],[f11987]) ).
fof(f15513,plain,
! [X3,X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| ~ m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k6_lattices(X0) = k1_lattices(X0,k6_lattices(X0),X3) ),
inference(equality_resolution,[],[f12027]) ).
fof(f15514,plain,
! [X3,X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| ~ m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k6_lattices(X0) = k1_lattices(X0,X3,k6_lattices(X0)) ),
inference(equality_resolution,[],[f12026]) ).
fof(f15517,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,[],[f12150]) ).
fof(f15518,plain,
! [X2,X1] :
( ~ m2_relset_1(X2,np__0,X1)
| ~ v1_funct_2(X2,np__0,X1)
| ~ v1_funct_1(X2)
| sP18(np__0,X2) ),
inference(equality_resolution,[],[f14895]) ).
fof(f15519,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,[],[f14906]) ).
fof(f15520,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,[],[f12217]) ).
fof(f15521,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,[],[f15520]) ).
fof(f15522,plain,
! [X0,X1,X6] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| r2_hidden(sK339(X0,X1,X6),k1_relat_1(X0)) ),
inference(equality_resolution,[],[f12216]) ).
fof(f15523,plain,
! [X0,X1,X6] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| r2_hidden(sK339(X0,X1,X6),X1) ),
inference(equality_resolution,[],[f12215]) ).
fof(f15524,plain,
! [X0,X1,X6] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| k1_funct_1(X0,sK339(X0,X1,X6)) = X6 ),
inference(equality_resolution,[],[f12214]) ).
fof(f15525,plain,
! [X0,X1,X6,X7] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X6),k2_tarski(X7,X7)),X0)
| r2_hidden(X6,k9_relat_1(X0,X1)) ),
inference(equality_resolution,[],[f14924]) ).
fof(f15526,plain,
! [X0,X1,X6] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(sK343(X0,X1,X6),X6),k2_tarski(sK343(X0,X1,X6),sK343(X0,X1,X6))),X0) ),
inference(equality_resolution,[],[f14925]) ).
fof(f15527,plain,
! [X0,X1,X6] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| r2_hidden(sK343(X0,X1,X6),X1) ),
inference(equality_resolution,[],[f12241]) ).
fof(f15530,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_tarski(X5,X5)),X0)
| ~ r2_hidden(X5,X1)
| r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_tarski(X5,X5)),k7_relat_1(X0,X1)) ),
inference(equality_resolution,[],[f14940]) ).
fof(f15531,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_tarski(X5,X5)),k7_relat_1(X0,X1))
| r2_hidden(X5,X1) ),
inference(equality_resolution,[],[f14941]) ).
fof(f15532,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_tarski(X5,X5)),k7_relat_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_tarski(X5,X5)),X0) ),
inference(equality_resolution,[],[f14942]) ).
fof(f15533,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,[],[f12319]) ).
fof(f15534,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,[],[f12318]) ).
fof(f15535,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,[],[f12317]) ).
fof(f15536,plain,
! [X0,X1,X6,X7] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X6,X7),k2_tarski(X6,X6)),X0)
| r2_hidden(X6,k10_relat_1(X0,X1)) ),
inference(equality_resolution,[],[f14961]) ).
fof(f15537,plain,
! [X0,X1,X6] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k10_relat_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(X6,sK352(X0,X1,X6)),k2_tarski(X6,X6)),X0) ),
inference(equality_resolution,[],[f14962]) ).
fof(f15538,plain,
! [X0,X1,X6] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k10_relat_1(X0,X1))
| r2_hidden(sK352(X0,X1,X6),X1) ),
inference(equality_resolution,[],[f12340]) ).
fof(f15539,plain,
! [X2,X3,X0,X1] :
( ~ 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))))
| k2_tarski(X0,X2) = 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)))) ),
inference(equality_resolution,[],[f14964]) ).
fof(f15540,plain,
! [X2,X3,X0,X1] :
( ~ 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))))
| k2_tarski(X1,X3) = 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)))) ),
inference(equality_resolution,[],[f14965]) ).
fof(f15542,plain,
! [X2,X1] : np__0 = k4_xboole_0(k2_tarski(X1,X1),k2_tarski(X1,X2)),
inference(equality_resolution,[],[f14971]) ).
fof(f15543,plain,
! [X2,X1] : np__0 = k4_xboole_0(k2_tarski(X2,X2),k2_tarski(X1,X2)),
inference(equality_resolution,[],[f14972]) ).
fof(f15545,plain,
! [X2,X1] :
( r2_hidden(X1,X2)
| k2_tarski(X1,X1) = k4_xboole_0(k2_tarski(X1,X1),X2) ),
inference(equality_resolution,[],[f14980]) ).
fof(f15546,plain,
! [X2,X1] :
( ~ r2_hidden(X2,X1)
| k2_tarski(X2,X2) = k4_xboole_0(k2_tarski(X2,X2),k4_xboole_0(k2_tarski(X2,X2),X1)) ),
inference(equality_resolution,[],[f14985]) ).
fof(f15549,plain,
! [X2,X1] : r1_tarski(k2_tarski(X2,X2),k2_tarski(X1,X2)),
inference(equality_resolution,[],[f14991]) ).
fof(f15551,plain,
! [X2,X1,X4] :
( k2_tarski(X4,X1) != X2
| r2_hidden(X4,X2) ),
inference(equality_resolution,[],[f12408]) ).
fof(f15552,plain,
! [X1,X4] : r2_hidden(X4,k2_tarski(X4,X1)),
inference(equality_resolution,[],[f15551]) ).
fof(f15553,plain,
! [X2,X0,X4] :
( k2_tarski(X0,X4) != X2
| r2_hidden(X4,X2) ),
inference(equality_resolution,[],[f12407]) ).
fof(f15554,plain,
! [X0,X4] : r2_hidden(X4,k2_tarski(X0,X4)),
inference(equality_resolution,[],[f15553]) ).
fof(f15555,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k2_tarski(X0,X1))
| X1 = X4
| X0 = X4 ),
inference(equality_resolution,[],[f12406]) ).
fof(f15557,plain,
! [X2,X1] : k1_card_1(k2_tarski(X1,X1)) = k1_card_1(k2_tarski(X2,X2)),
inference(equality_resolution,[],[f15008]) ).
fof(f15558,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,[],[f12425]) ).
fof(f15559,plain,
! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_finset_1(k2_relat_1(X1)) ),
inference(equality_resolution,[],[f12436]) ).
fof(f15561,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,[],[f15013]) ).
fof(f15566,plain,
! [X2] :
( ~ v3_ordinal1(k2_xboole_0(X2,k2_tarski(X2,X2)))
| ~ v4_ordinal1(k2_xboole_0(X2,k2_tarski(X2,X2)))
| ~ v3_ordinal1(X2) ),
inference(equality_resolution,[],[f15055]) ).
fof(f15568,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,[],[f12657]) ).
fof(f15575,plain,
! [X2,X0,X1,X5] :
( ~ r2_hidden(X5,k2_enumset1(X0,X0,X1,X2))
| X2 = X5
| X1 = X5
| X0 = X5 ),
inference(equality_resolution,[],[f15091]) ).
fof(f15576,plain,
! [X2,X1] : r2_wellord2(k2_tarski(X2,X2),k2_tarski(X1,X1)),
inference(equality_resolution,[],[f15098]) ).
fof(f15577,plain,
r2_wellord2(np__0,np__0),
inference(equality_resolution,[],[f15100]) ).
fof(f15578,plain,
! [X0] :
( ~ v1_card_1(k1_card_1(X0))
| r2_wellord2(X0,k1_card_1(X0)) ),
inference(equality_resolution,[],[f12782]) ).
fof(f15580,plain,
! [X1] :
( ~ r1_ordinal1(X1,sK388(X1))
| ~ v3_ordinal1(X1)
| v1_card_1(X1) ),
inference(equality_resolution,[],[f12793]) ).
fof(f15581,plain,
! [X1] :
( r2_wellord2(sK388(X1),X1)
| ~ v3_ordinal1(X1)
| v1_card_1(X1) ),
inference(equality_resolution,[],[f12792]) ).
fof(f15582,plain,
! [X1] :
( v3_ordinal1(sK388(X1))
| ~ v3_ordinal1(X1)
| v1_card_1(X1) ),
inference(equality_resolution,[],[f12791]) ).
fof(f15583,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,[],[f12797]) ).
fof(f15584,plain,
! [X2,X0] :
( ~ sP20(X0,k9_rlvect_1(X2,X0),X2)
| sP19(X2,k9_rlvect_1(X2,X0),X0) ),
inference(equality_resolution,[],[f12798]) ).
fof(f15591,plain,
! [X3,X0,X1] :
( ~ sP21(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)
| sP22(X0,X1) ),
inference(equality_resolution,[],[f12823]) ).
fof(f15592,plain,
! [X3,X1] :
( ~ sP21(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)
| sP22(k1_funct_1(X3,np__1),X1) ),
inference(equality_resolution,[],[f15591]) ).
fof(f15593,plain,
! [X3] :
( ~ sP21(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)
| sP22(k1_funct_1(X3,np__1),k1_funct_1(X3,k3_finseq_1(X3))) ),
inference(equality_resolution,[],[f15592]) ).
fof(f15596,plain,
! [X0] :
( ~ v1_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| ~ v1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| ~ v1_relat_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| k2_finseq_1(np__1) = k4_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) ),
inference(equality_resolution,[],[f15109]) ).
fof(f15598,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,[],[f15112]) ).
fof(f15599,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,[],[f12908]) ).
fof(f15600,plain,
! [X2,X0,X1,X4,X5] :
( ~ sP26(X0,X1,X2,k7_setwiseo(X4,X5,X1,X2,X0),X4,X5)
| sP25(X5,X4,k7_setwiseo(X4,X5,X1,X2,X0),X2,X1,X0) ),
inference(equality_resolution,[],[f12925]) ).
fof(f15601,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP24(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK409(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK409(X0,X1,X5,X6)))
| sK408(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)
| sP25(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f15114]) ).
fof(f15602,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP24(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK409(X0,X1,X5,X6),X1)
| sK408(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)
| sP25(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f15115]) ).
fof(f15603,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP24(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK409(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK409(X0,X1,X5,X6)))
| r3_binop_1(X0,sK408(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)
| sP25(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f12937]) ).
fof(f15604,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP24(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK409(X0,X1,X5,X6),X1)
| r3_binop_1(X0,sK408(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)
| sP25(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f12936]) ).
fof(f15605,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP24(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK409(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK409(X0,X1,X5,X6)))
| m1_subset_1(sK408(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)
| sP25(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f12935]) ).
fof(f15606,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP24(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK409(X0,X1,X5,X6),X1)
| m1_subset_1(sK408(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)
| sP25(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f12934]) ).
fof(f15608,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))
| sP30(X0,X1,k3_funct_4(X0,X1)) ),
inference(equality_resolution,[],[f13133]) ).
fof(f15609,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_tarski(X9,X9)),k1_relat_1(X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X8),k2_tarski(X7,X7)),k1_relat_1(X0))
| k2_tarski(k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(X7,X8),k2_tarski(X7,X7))),k1_funct_1(X1,k2_tarski(k2_tarski(X9,X10),k2_tarski(X9,X9)))),k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(X7,X8),k2_tarski(X7,X7))),k1_funct_1(X0,k2_tarski(k2_tarski(X7,X8),k2_tarski(X7,X7))))) = k1_funct_1(k3_funct_4(X0,X1),k2_tarski(k2_tarski(k2_tarski(k2_tarski(X7,X9),k2_tarski(X7,X7)),k2_tarski(k2_tarski(X8,X10),k2_tarski(X8,X8))),k2_tarski(k2_tarski(k2_tarski(X7,X9),k2_tarski(X7,X7)),k2_tarski(k2_tarski(X7,X9),k2_tarski(X7,X7))))) ),
inference(equality_resolution,[],[f15153]) ).
fof(f15610,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,[],[f15165]) ).
fof(f15611,plain,
! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| sK456(k1_relat_1(X1),X1) != k1_funct_1(X1,sK456(k1_relat_1(X1),X1))
| k6_partfun1(k1_relat_1(X1)) = X1 ),
inference(equality_resolution,[],[f15176]) ).
fof(f15612,plain,
! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r2_hidden(sK456(k1_relat_1(X1),X1),k1_relat_1(X1))
| k6_partfun1(k1_relat_1(X1)) = X1 ),
inference(equality_resolution,[],[f15177]) ).
fof(f15615,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,[],[f15185]) ).
fof(f15616,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_tarski(X5,X5)),X1) ),
inference(equality_resolution,[],[f15206]) ).
fof(f15617,plain,
! [X0,X5] :
( ~ v1_relat_1(k6_partfun1(X0))
| ~ r2_hidden(X5,X0)
| r2_hidden(k2_tarski(k2_tarski(X5,X5),k2_tarski(X5,X5)),k6_partfun1(X0)) ),
inference(equality_resolution,[],[f15616]) ).
fof(f15618,plain,
! [X0,X4,X5] :
( ~ v1_relat_1(k6_partfun1(X0))
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_tarski(X4,X4)),k6_partfun1(X0))
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f15207]) ).
fof(f15619,plain,
! [X0,X4,X5] :
( ~ v1_relat_1(k6_partfun1(X0))
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_tarski(X4,X4)),k6_partfun1(X0))
| X4 = X5 ),
inference(equality_resolution,[],[f15208]) ).
fof(f15622,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,[],[f13244]) ).
fof(f15624,plain,
! [X0,X1] :
( ~ v1_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0))))
| k2_tarski(X0,X1) = k3_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)))) ),
inference(equality_resolution,[],[f15212]) ).
fof(f15629,plain,
! [X0,X5] :
( np__0 = X0
| ~ r2_hidden(X5,sK539(X0,X5))
| r2_hidden(X5,k1_setfam_1(X0)) ),
inference(equality_resolution,[],[f15290]) ).
fof(f15630,plain,
! [X0,X5] :
( np__0 = X0
| r2_hidden(sK539(X0,X5),X0)
| r2_hidden(X5,k1_setfam_1(X0)) ),
inference(equality_resolution,[],[f15291]) ).
fof(f15631,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,[],[f15292]) ).
fof(f15634,plain,
! [X0] :
( np__0 != X0
| k1_setfam_1(X0) = np__0 ),
inference(equality_resolution,[],[f15294]) ).
fof(f15635,plain,
np__0 = k1_setfam_1(np__0),
inference(equality_resolution,[],[f15634]) ).
fof(f15640,plain,
! [X2,X3,X0,X1] : sP37(X0,X1,X2,X3,k2_enumset1(X0,X1,X2,X3)),
inference(equality_resolution,[],[f13847]) ).
fof(f15641,plain,
! [X2,X1] :
( ~ m2_relset_1(X2,np__0,X1)
| ~ v1_funct_2(X2,np__0,X1)
| ~ v1_funct_1(X2)
| r2_hidden(X2,k1_funct_2(np__0,X1)) ),
inference(equality_resolution,[],[f15302]) ).
fof(f15645,plain,
! [X0,X1] : sP38(X0,X1,k1_funct_2(X0,X1)),
inference(equality_resolution,[],[f13882]) ).
fof(f15655,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_hidden(sK557(X0,X1),X1)
| ~ r2_qc_lang2(sK557(X0,X1),X0)
| ~ m1_subset_1(sK557(X0,X1),k8_qc_lang1)
| k15_qc_lang2(X0) = X1 ),
inference(equality_resolution,[],[f13984]) ).
fof(f15656,plain,
! [X0,X1,X6] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| k15_qc_lang2(X0) != X1
| ~ r2_qc_lang2(X6,X0)
| ~ m1_subset_1(X6,k8_qc_lang1)
| r2_hidden(X6,X1) ),
inference(equality_resolution,[],[f13980]) ).
fof(f15657,plain,
! [X0,X6] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_qc_lang2(X6,X0)
| ~ m1_subset_1(X6,k8_qc_lang1)
| r2_hidden(X6,k15_qc_lang2(X0)) ),
inference(equality_resolution,[],[f15656]) ).
fof(f15658,plain,
! [X0,X5] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_hidden(X5,k15_qc_lang2(X0))
| m1_subset_1(sK559(X0,X5),k8_qc_lang1) ),
inference(equality_resolution,[],[f13979]) ).
fof(f15659,plain,
! [X0,X5] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_hidden(X5,k15_qc_lang2(X0))
| sK559(X0,X5) = X5 ),
inference(equality_resolution,[],[f13978]) ).
fof(f15660,plain,
! [X0,X5] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_hidden(X5,k15_qc_lang2(X0))
| r2_qc_lang2(sK559(X0,X5),X0) ),
inference(equality_resolution,[],[f13977]) ).
fof(f15661,plain,
( ~ m1_subset_1(k11_qc_lang1,k8_qc_lang1)
| r2_qc_lang2(k11_qc_lang1,k11_qc_lang1) ),
inference(equality_resolution,[],[f13986]) ).
fof(f15663,plain,
! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| np__1 != k3_finseq_1(X1)
| k2_tarski(k2_tarski(k2_tarski(np__1,k1_funct_1(X1,np__1)),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,k1_funct_1(X1,np__1)),k2_tarski(np__1,np__1))) = X1 ),
inference(equality_resolution,[],[f15323]) ).
fof(f15665,plain,
! [X0] :
( ~ v1_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| ~ v1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| ~ v1_relat_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| k1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))),np__1) = X0 ),
inference(equality_resolution,[],[f15325]) ).
fof(f15666,plain,
! [X0] :
( ~ v1_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| ~ v1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| ~ v1_relat_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| np__1 = k3_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) ),
inference(equality_resolution,[],[f15327]) ).
fof(f15668,plain,
! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X1) != k2_finseq_1(np__1)
| k2_tarski(k2_tarski(k2_tarski(np__1,k1_funct_1(X1,np__1)),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,k1_funct_1(X1,np__1)),k2_tarski(np__1,np__1))) = X1 ),
inference(equality_resolution,[],[f15329]) ).
fof(f15669,plain,
! [X0] :
( ~ v1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| ~ v1_relat_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| k2_finseq_1(np__1) = k1_relat_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) ),
inference(equality_resolution,[],[f15330]) ).
fof(f15670,plain,
! [X0] :
( ~ v1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| ~ v1_relat_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| k1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))),np__1) = X0 ),
inference(equality_resolution,[],[f15331]) ).
fof(f15673,plain,
! [X2,X1] :
( ~ v1_finseq_1(k5_relat_1(X2,X1))
| ~ v1_funct_1(k5_relat_1(X2,X1))
| ~ v1_relat_1(k5_relat_1(X2,X1))
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ m2_relset_1(X2,k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v3_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v1_funct_2(X2,k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v1_funct_1(X2)
| r1_rfinseq(k5_relat_1(X2,X1),X1) ),
inference(equality_resolution,[],[f14061]) ).
fof(f15674,plain,
! [X2,X1] :
( ~ v1_funct_1(k5_relat_1(X2,X1))
| ~ v1_relat_1(k5_relat_1(X2,X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X1) != k1_relat_1(k5_relat_1(X2,X1))
| ~ m2_relset_1(X2,k1_relat_1(k5_relat_1(X2,X1)),k1_relat_1(k5_relat_1(X2,X1)))
| ~ v3_funct_2(X2,k1_relat_1(k5_relat_1(X2,X1)),k1_relat_1(k5_relat_1(X2,X1)))
| ~ v1_funct_2(X2,k1_relat_1(k5_relat_1(X2,X1)),k1_relat_1(k5_relat_1(X2,X1)))
| ~ v1_funct_1(X2)
| r1_rfinseq(k5_relat_1(X2,X1),X1) ),
inference(equality_resolution,[],[f14071]) ).
fof(f15675,plain,
! [X2,X1] :
( ~ v1_funct_1(k5_relat_1(X2,X1))
| ~ v1_relat_1(k5_relat_1(X2,X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X2)
| k1_relat_1(X1) != k2_relat_1(X2)
| k1_relat_1(X2) != k1_relat_1(k5_relat_1(X2,X1))
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r1_rfinseq(k5_relat_1(X2,X1),X1) ),
inference(equality_resolution,[],[f14083]) ).
fof(f15676,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,[],[f14096]) ).
fof(f15677,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,[],[f14095]) ).
fof(f15678,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,[],[f14134]) ).
fof(f15679,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,[],[f14133]) ).
fof(f15680,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,[],[f15344]) ).
fof(f15683,plain,
! [X2,X1] :
( ~ sP41(k8_relat_1(X1,X2),X1,X2)
| sP40(X2,X1,k8_relat_1(X1,X2)) ),
inference(equality_resolution,[],[f14250]) ).
fof(f15684,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_tarski(X5,X5)),X1)
| ~ r2_hidden(X6,X0)
| r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_tarski(X5,X5)),k8_relat_1(X0,X1)) ),
inference(equality_resolution,[],[f15356]) ).
fof(f15685,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_tarski(X5,X5)),k8_relat_1(X0,X1))
| r2_hidden(X6,X0) ),
inference(equality_resolution,[],[f15357]) ).
fof(f15686,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_tarski(X5,X5)),k8_relat_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_tarski(X5,X5)),X1) ),
inference(equality_resolution,[],[f15358]) ).
fof(f15687,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,[],[f15359]) ).
fof(f15688,plain,
! [X0,X4,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(k4_relat_1(X0))
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X4),k2_tarski(X5,X5)),X0)
| r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_tarski(X4,X4)),k4_relat_1(X0)) ),
inference(equality_resolution,[],[f15369]) ).
fof(f15689,plain,
! [X0,X4,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(k4_relat_1(X0))
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_tarski(X4,X4)),k4_relat_1(X0))
| r2_hidden(k2_tarski(k2_tarski(X5,X4),k2_tarski(X5,X5)),X0) ),
inference(equality_resolution,[],[f15370]) ).
fof(f15690,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,[],[f15371]) ).
fof(f15691,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,[],[f15372]) ).
fof(f15692,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,[],[f14394]) ).
fof(f15693,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,[],[f15376]) ).
fof(f15694,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,[],[f15377]) ).
fof(f15695,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,[],[f15378]) ).
fof(f15696,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,[],[f14442]) ).
fof(f15697,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,[],[f15696]) ).
fof(f15698,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,[],[f15697]) ).
fof(f15699,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,[],[f15698]) ).
fof(f15700,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,[],[f15699]) ).
fof(f15701,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,[],[f14441]) ).
fof(f15702,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,[],[f14440]) ).
fof(f15703,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,[],[f14439]) ).
fof(f15704,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,[],[f14438]) ).
fof(f15705,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,[],[f14437]) ).
fof(f15706,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,[],[f14450]) ).
fof(f15707,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,[],[f14449]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,X1)) = k2_xboole_0(X0,X1),
inference(cnf_transformation,[],[f11537]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) = k2_tarski(X0,X1),
inference(cnf_transformation,[],[f14457]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1))) = k5_xboole_0(X0,X1),
inference(cnf_transformation,[],[f14458]) ).
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,[],[f14459]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_xboole_0(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3)) = k2_enumset1(X0,X1,X2,X3),
inference(cnf_transformation,[],[f14460]) ).
tcf(c_54,negated_conjecture,
~ m1_subset_1(k2_pre_topc(sK42),u1_struct_0(k6_lopclset(sK42))),
inference(cnf_transformation,[],[f10379]) ).
tcf(c_55,negated_conjecture,
~ v3_struct_0(sK42),
inference(cnf_transformation,[],[f10378]) ).
tcf(c_56,negated_conjecture,
v2_pre_topc(sK42),
inference(cnf_transformation,[],[f10377]) ).
tcf(c_57,negated_conjecture,
l1_pre_topc(sK42),
inference(cnf_transformation,[],[f10376]) ).
tcf(c_58,plain,
! [X0: $i] : m1_subset_1(sK43(X0),X0),
inference(cnf_transformation,[],[f10380]) ).
tcf(c_59,plain,
l1_pre_topc(sK44),
inference(cnf_transformation,[],[f10381]) ).
tcf(c_60,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,[],[f10382]) ).
tcf(c_62,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,[],[f10384]) ).
tcf(c_63,plain,
! [X0: $i] :
( ( k6_pre_topc(X0,k2_pre_topc(X0)) = k2_pre_topc(X0) )
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f10385]) ).
tcf(c_64,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,[],[f10386]) ).
tcf(c_65,plain,
! [X0: $i] :
( v3_pre_topc(k2_pre_topc(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10388]) ).
tcf(c_67,plain,
! [X0: $i] :
( m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10389]) ).
tcf(c_68,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,[],[f15382]) ).
tcf(c_69,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,[],[f15383]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK45(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,[],[f10393]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_pre_topc(sK45(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,[],[f10392]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(sK45(X2,X1,X0),k4_xboole_0(sK45(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,[],[f14463]) ).
tcf(c_74,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,[],[f10396]) ).
tcf(c_75,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,[],[f10397]) ).
tcf(c_76,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,[],[f10398]) ).
tcf(c_77,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,[],[f10399]) ).
tcf(c_78,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,[],[f10400]) ).
tcf(c_80,plain,
! [X0: $i] :
( ( k2_pre_topc(X0) = u1_struct_0(X0) )
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10402]) ).
tcf(c_81,plain,
! [X0: $i] :
( v4_pre_topc(k2_pre_topc(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10403]) ).
tcf(c_82,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(k2_pre_topc(X0)) ),
inference(cnf_transformation,[],[f10404]) ).
tcf(c_83,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v17_lattices(k6_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10405]) ).
tcf(c_84,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,[],[f10406]) ).
tcf(c_85,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,[],[f14464]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k3_lattices(k6_lopclset(X1),X0,X2) = k2_xboole_0(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,[],[f10408]) ).
tcf(c_87,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) = k6_lopclset(X0) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10409]) ).
tcf(c_88,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v3_struct_0(k6_lopclset(X0)) ),
inference(cnf_transformation,[],[f10412]) ).
tcf(c_89,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v10_lattices(k6_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10411]) ).
tcf(c_90,plain,
! [X0: $i] :
( v3_struct_0(X0)
| l3_lattices(k6_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10410]) ).
tcf(c_91,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,[],[f10414]) ).
tcf(c_92,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,[],[f10413]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| m2_subset_1(sK46(X1,X0),X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10415]) ).
tcf(c_94,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,[],[f10416]) ).
tcf(c_95,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,[],[f10417]) ).
tcf(c_96,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,[],[f10418]) ).
tcf(c_97,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,[],[f10419]) ).
tcf(c_98,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,[],[f10420]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10422]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10421]) ).
tcf(c_101,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(sK47(X0,X1,X2),X2)
| ~ r2_hidden(sK47(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f10425]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK47(X1,X0,X2),X2)
| r2_hidden(sK47(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,[],[f10424]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK47(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,[],[f10423]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK48(X0,X1),X1) ),
inference(cnf_transformation,[],[f10427]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK48(X1,X0),X1)
| ( X0 = X1 )
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10426]) ).
tcf(c_106,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(sK49(X0,X1),X1) ),
inference(cnf_transformation,[],[f10429]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| m1_subset_1(sK49(X0,X2),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10428]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK50(X1,X0),X0)
| ( X0 = np__0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f14465]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK50(X1,X0),X1)
| ( X0 = np__0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f14466]) ).
tcf(c_110,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(sK51(X0,X1,X2),X2)
| ~ r2_hidden(sK51(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f10434]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK51(X1,X0,X2),X2)
| r2_hidden(sK51(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,[],[f10433]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK51(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,[],[f10432]) ).
tcf(c_113,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(sK52(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f10437]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r2_hidden(sK52(X1,X0,X2),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10436]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| m1_subset_1(sK52(X1,X0,X2),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10435]) ).
tcf(c_116,plain,
! [X0: $i] : m1_subset_1(np__0,k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f14467]) ).
tcf(c_117,plain,
! [X0: $i] : m1_subset_1(sK53(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f10440]) ).
tcf(c_118,plain,
! [X0: $i] : v1_xboole_0(sK53(X0)),
inference(cnf_transformation,[],[f10439]) ).
tcf(c_119,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK54(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f10442]) ).
tcf(c_120,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK54(X0)) ),
inference(cnf_transformation,[],[f10441]) ).
tcf(c_121,plain,
! [X0: $i] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f10443]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10444]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(X0) = X1 )
| ~ r2_hidden(sK55(X0,X1),X1)
| ~ r1_tarski(sK55(X0,X1),X0) ),
inference(cnf_transformation,[],[f10448]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK55(X0,X1),X1)
| r1_tarski(sK55(X0,X1),X0)
| ( k1_zfmisc_1(X0) = X1 ) ),
inference(cnf_transformation,[],[f10447]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f15384]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f15385]) ).
tcf(c_127,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,[],[f10449]) ).
tcf(c_128,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,[],[f10450]) ).
tcf(c_129,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,[],[f10451]) ).
tcf(c_130,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,[],[f10452]) ).
tcf(c_131,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f10453]) ).
tcf(c_132,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,[],[f10454]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] :
( v3_pre_topc(X1,X0)
| ~ sP1(X1,X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f10456]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i] :
( sP0(X1,X0)
| ~ sP1(X0,X1)
| ~ v3_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f10455]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] :
( sP1(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10467]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k6_pre_topc(X1,X0))
| v3_pre_topc(sK59(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,[],[f10472]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k6_pre_topc(X1,X0))
| r2_hidden(X2,sK59(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,[],[f10471]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k6_pre_topc(X1,X0))
| r1_xboole_0(X0,sK59(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,[],[f10470]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k6_pre_topc(X1,X0))
| m1_subset_1(sK59(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,[],[f10469]) ).
tcf(c_151,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,[],[f10473]) ).
tcf(c_152,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,[],[f10475]) ).
tcf(c_153,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,[],[f10474]) ).
tcf(c_154,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,[],[f10477]) ).
tcf(c_155,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,[],[f10476]) ).
tcf(c_156,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK60(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10481]) ).
tcf(c_157,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK60(X0)) ),
inference(cnf_transformation,[],[f10480]) ).
tcf(c_158,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_pre_topc(sK60(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10479]) ).
tcf(c_159,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v4_pre_topc(sK60(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10478]) ).
tcf(c_160,plain,
! [X0: $i] :
( m1_subset_1(sK61(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10484]) ).
tcf(c_161,plain,
! [X0: $i] :
( v3_pre_topc(sK61(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10483]) ).
tcf(c_162,plain,
! [X0: $i] :
( v4_pre_topc(sK61(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10482]) ).
tcf(c_163,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,[],[f10486]) ).
tcf(c_164,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,[],[f10485]) ).
tcf(c_166,plain,
! [X0: $i] :
( m1_subset_1(sK62(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10489]) ).
tcf(c_167,plain,
! [X0: $i] :
( v3_pre_topc(sK62(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10488]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k6_pre_topc(X1,X0))
| v3_pre_topc(sK63(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,[],[f10496]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k6_pre_topc(X1,X0))
| r2_hidden(X2,sK63(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,[],[f10495]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k6_pre_topc(X1,X0))
| r1_xboole_0(X0,sK63(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,[],[f10494]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k6_pre_topc(X1,X0))
| m1_subset_1(sK63(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,[],[f10493]) ).
tcf(c_173,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,[],[f10492]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ l1_pre_topc(X1)
| ~ r1_xboole_0(X2,X3)
| ~ r2_hidden(X0,X3)
| ~ v3_pre_topc(X3,X1)
| ~ 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,[],[f10491]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_pre_topc(X0,X1) = X2 )
| ~ sP3(X2,X1,X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f10498]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i] :
( sP2(X0,X1,k6_pre_topc(X0,X1))
| ~ sP3(k6_pre_topc(X0,X1),X1,X0) ),
inference(cnf_transformation,[],[f15386]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP3(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,[],[f10510]) ).
tcf(c_189,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,[],[f10511]) ).
tcf(c_190,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,[],[f10512]) ).
tcf(c_191,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,[],[f10513]) ).
tcf(c_192,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,[],[f10514]) ).
tcf(c_193,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,[],[f10515]) ).
tcf(c_194,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_tops_1(X1,X2))
| ~ l1_pre_topc(X1)
| ~ r1_tarski(X0,X2)
| ~ 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,[],[f10516]) ).
tcf(c_195,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,[],[f10518]) ).
tcf(c_196,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,[],[f10517]) ).
tcf(c_197,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)
| ~ r2_hidden(X3,X2)
| ~ r1_tarski(X2,X0)
| ~ v3_pre_topc(X2,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,[],[f10523]) ).
tcf(c_198,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK67(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,[],[f10522]) ).
tcf(c_199,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_pre_topc(sK67(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,[],[f10521]) ).
tcf(c_200,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK67(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,[],[f10520]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,sK67(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,[],[f10519]) ).
tcf(c_203,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,[],[f10525]) ).
tcf(c_204,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,[],[f10526]) ).
tcf(c_205,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,[],[f10527]) ).
tcf(c_206,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,[],[f10528]) ).
tcf(c_207,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,[],[f10529]) ).
tcf(c_208,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,[],[f10530]) ).
tcf(c_209,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,[],[f10531]) ).
tcf(c_210,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,[],[f10532]) ).
tcf(c_211,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,[],[f10533]) ).
tcf(c_212,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,[],[f10534]) ).
tcf(c_213,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,[],[f10535]) ).
tcf(c_214,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,[],[f10536]) ).
tcf(c_215,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,[],[f10537]) ).
tcf(c_216,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,[],[f10538]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k6_pre_topc(X1,X2),X0)
| ~ l1_pre_topc(X1)
| ~ r1_tarski(X2,X0)
| ~ 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,[],[f10539]) ).
tcf(c_218,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,[],[f10540]) ).
tcf(c_219,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,[],[f10541]) ).
tcf(c_220,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,[],[f10542]) ).
tcf(c_221,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,[],[f10544]) ).
tcf(c_222,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,[],[f10543]) ).
tcf(c_223,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,[],[f10545]) ).
tcf(c_224,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,[],[f10546]) ).
tcf(c_225,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,[],[f10547]) ).
tcf(c_226,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,[],[f10548]) ).
tcf(c_227,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,sK68(X1,X2,X0)) ),
inference(cnf_transformation,[],[f10553]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,k6_pre_topc(X1,X0))
| v4_pre_topc(sK68(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,[],[f10552]) ).
tcf(c_229,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,k6_pre_topc(X1,X0))
| r1_tarski(X0,sK68(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,[],[f10551]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,k6_pre_topc(X1,X0))
| m1_subset_1(sK68(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,[],[f10550]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X3)
| ~ l1_pre_topc(X1)
| ~ r1_tarski(X2,X3)
| ~ v4_pre_topc(X3,X1)
| ~ 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,[],[f10549]) ).
tcf(c_232,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,[],[f10554]) ).
tcf(c_233,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,[],[f10555]) ).
tcf(c_234,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,[],[f10556]) ).
tcf(c_235,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,[],[f10557]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_subset_1(X1,X0,X2) = k2_xboole_0(X0,X2) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10558]) ).
tcf(c_237,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,[],[f10559]) ).
tcf(c_238,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,[],[f10560]) ).
tcf(c_239,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,[],[f10561]) ).
tcf(c_240,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,[],[f10562]) ).
tcf(c_241,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,[],[f10563]) ).
tcf(c_242,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,[],[f10564]) ).
tcf(c_243,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(sK69(X0,X1,X2,X3),X2)
| ~ r2_hidden(sK69(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f10568]) ).
tcf(c_244,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(sK69(X0,X1,X2,X3),X3)
| ~ r2_hidden(sK69(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f10567]) ).
tcf(c_245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK69(X1,X0,X2,X3),X3)
| r2_hidden(sK69(X1,X0,X2,X3),X2)
| r2_hidden(sK69(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,[],[f10566]) ).
tcf(c_246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK69(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,[],[f10565]) ).
tcf(c_247,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f10569]) ).
tcf(c_248,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f10570]) ).
tcf(c_249,plain,
l1_struct_0(sK70),
inference(cnf_transformation,[],[f10571]) ).
tcf(c_251,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f10572]) ).
tcf(c_252,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK71(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10575]) ).
tcf(c_253,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(sK71(X0)) ),
inference(cnf_transformation,[],[f10574]) ).
tcf(c_254,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10576]) ).
tcf(c_255,plain,
l1_struct_0(sK72),
inference(cnf_transformation,[],[f10578]) ).
tcf(c_256,plain,
~ v3_struct_0(sK72),
inference(cnf_transformation,[],[f10577]) ).
tcf(c_257,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,[],[f10579]) ).
tcf(c_258,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK73(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10582]) ).
tcf(c_259,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK73(X0)) ),
inference(cnf_transformation,[],[f10581]) ).
tcf(c_260,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v4_pre_topc(sK73(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10580]) ).
tcf(c_261,plain,
! [X0: $i] :
( m1_subset_1(sK74(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10584]) ).
tcf(c_262,plain,
! [X0: $i] :
( v4_pre_topc(sK74(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10583]) ).
tcf(c_263,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,[],[f14468]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f14471]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X1,X0) = k1_funct_1(X2,X0) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(k2_xboole_0(X1,X2))
| ~ v1_relat_1(k2_xboole_0(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,[],[f15387]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(X0,X1) = sK76(X0,X1) )
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k1_funct_1(X0,sK75(X0,X1)) != k1_funct_1(X1,sK75(X0,X1)) ) ),
inference(cnf_transformation,[],[f10595]) ).
tcf(c_269,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK76(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k1_funct_1(X0,sK75(X0,X1)) != k1_funct_1(X1,sK75(X0,X1)) ) ),
inference(cnf_transformation,[],[f10594]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK76(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k1_funct_1(X0,sK75(X0,X1)) != k1_funct_1(X1,sK75(X0,X1)) ) ),
inference(cnf_transformation,[],[f10593]) ).
tcf(c_271,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK75(X0,X1),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1))))
| ( k2_xboole_0(X0,X1) = sK76(X0,X1) )
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14473]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK76(X0,X1))
| r2_hidden(sK75(X0,X1),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1))))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14474]) ).
tcf(c_273,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK76(X0,X1))
| r2_hidden(sK75(X0,X1),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1))))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14475]) ).
tcf(c_274,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,[],[f14476]) ).
tcf(c_275,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,[],[f14477]) ).
tcf(c_276,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,[],[f14478]) ).
tcf(c_277,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,[],[f14479]) ).
tcf(c_278,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14480]) ).
tcf(c_281,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,[],[f14483]) ).
tcf(c_282,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,[],[f14484]) ).
tcf(c_285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_tarski(k2_tarski(sK77(X0,X1,X2,X3,X4),sK78(X0,X1,X2,X3,X4)),k2_tarski(sK77(X0,X1,X2,X3,X4),sK77(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,[],[f14487]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK77(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,[],[f14488]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK78(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,[],[f14489]) ).
tcf(c_288,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,[],[f14490]) ).
tcf(c_289,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X1,k4_xboole_0(X1,k2_tarski(X0,X0))) = k2_tarski(X0,X0) )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14491]) ).
tcf(c_290,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| ( k4_xboole_0(X0,k4_xboole_0(X0,k2_tarski(X1,X1))) != k2_tarski(X1,X1) ) ),
inference(cnf_transformation,[],[f14492]) ).
tcf(c_291,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1))) != k2_tarski(X0,X0) ) ),
inference(cnf_transformation,[],[f14493]) ).
tcf(c_292,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,[],[f14494]) ).
tcf(c_295,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(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,[],[f14497]) ).
tcf(c_296,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,k2_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f14498]) ).
tcf(c_297,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(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,[],[f14499]) ).
tcf(c_298,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X0,X1)) = X0,
inference(cnf_transformation,[],[f14500]) ).
tcf(c_299,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,[],[f14501]) ).
tcf(c_300,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,[],[f14502]) ).
tcf(c_301,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,[],[f14503]) ).
tcf(c_302,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X0,k4_xboole_0(X0,X2))),k2_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f14504]) ).
tcf(c_303,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k2_xboole_0(X0,X2),k4_xboole_0(k2_xboole_0(X0,X2),X1)) = k2_xboole_0(X0,k4_xboole_0(X2,k4_xboole_0(X2,X1))) )
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14505]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k2_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f14506]) ).
tcf(c_305,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X0 )
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14507]) ).
tcf(c_306,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,[],[f14508]) ).
tcf(c_307,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,[],[f14509]) ).
tcf(c_308,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X1,X2))),k4_xboole_0(k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X1,X2))),k2_xboole_0(X2,X0))) = k2_xboole_0(k2_xboole_0(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,[],[f14510]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X0,X2))) = k2_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))),
inference(cnf_transformation,[],[f14511]) ).
tcf(c_310,plain,
! [X0: $i,X1: $i,X2: $i] : k2_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,k2_xboole_0(X1,X2))),
inference(cnf_transformation,[],[f14512]) ).
tcf(c_311,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))) = X0,
inference(cnf_transformation,[],[f14513]) ).
tcf(c_313,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(sK79(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f14515]) ).
tcf(c_314,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK79(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,[],[f14516]) ).
tcf(c_315,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK79(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,[],[f14517]) ).
tcf(c_316,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,[],[f14518]) ).
tcf(c_319,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,[],[f14521]) ).
tcf(c_320,plain,
! [X0: $i] : k4_xboole_0(X0,k4_xboole_0(X0,np__0)) = np__0,
inference(cnf_transformation,[],[f14522]) ).
tcf(c_322,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,[],[f14524]) ).
tcf(c_323,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 )
| ~ r2_hidden(sK80(X0,X1,X2),X2)
| ~ r2_hidden(sK80(X0,X1,X2),X1)
| ~ r2_hidden(sK80(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f14525]) ).
tcf(c_324,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK80(X0,X1,X2),X2)
| r2_hidden(sK80(X0,X1,X2),X0)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 ) ),
inference(cnf_transformation,[],[f14526]) ).
tcf(c_325,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK80(X0,X1,X2),X2)
| r2_hidden(sK80(X0,X1,X2),X1)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 ) ),
inference(cnf_transformation,[],[f14527]) ).
tcf(c_326,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,[],[f15388]) ).
tcf(c_328,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,[],[f15390]) ).
tcf(c_329,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,[],[f10652]) ).
tcf(c_330,plain,
! [X0: $i] :
( m1_pre_topc(sK81(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f10653]) ).
tcf(c_331,plain,
! [X0: $i,X1: $i] :
( l1_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ m1_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f10654]) ).
tcf(c_332,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,[],[f10655]) ).
tcf(c_333,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,[],[f10656]) ).
tcf(c_334,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,[],[f15391]) ).
tcf(c_335,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,[],[f10658]) ).
tcf(c_336,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,[],[f10660]) ).
tcf(c_337,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,[],[f10659]) ).
tcf(c_338,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,[],[f10661]) ).
tcf(c_339,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,[],[f10662]) ).
tcf(c_340,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,[],[f10663]) ).
tcf(c_341,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK82(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(sK82(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f10666]) ).
tcf(c_342,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK82(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(sK82(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f10665]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK82(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,[],[f10664]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK83(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(sK83(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f10669]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK83(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(sK83(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f10668]) ).
tcf(c_346,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK83(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,[],[f10667]) ).
tcf(c_347,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK84(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(sK84(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f10672]) ).
tcf(c_348,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK84(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(sK84(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f10671]) ).
tcf(c_349,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK84(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,[],[f10670]) ).
tcf(c_350,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,[],[f14531]) ).
tcf(c_351,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,[],[f10674]) ).
tcf(c_352,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,[],[f10675]) ).
tcf(c_353,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,[],[f10677]) ).
tcf(c_354,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,[],[f10676]) ).
tcf(c_355,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,[],[f10679]) ).
tcf(c_356,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,[],[f10678]) ).
tcf(c_357,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,[],[f14532]) ).
tcf(c_358,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,[],[f10681]) ).
tcf(c_359,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,[],[f10682]) ).
tcf(c_360,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,[],[f10684]) ).
tcf(c_361,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,[],[f10683]) ).
tcf(c_362,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,[],[f10685]) ).
tcf(c_363,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,[],[f10686]) ).
tcf(c_364,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)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14534]) ).
tcf(c_365,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)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14535]) ).
tcf(c_366,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(X0,np__0,X2)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,X2)
| ~ v1_funct_2(X0,np__0,X1)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f15393]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,np__0,X2)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,X2)
| ~ v1_funct_2(X0,np__0,X1)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f15394]) ).
tcf(c_368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X3,X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X3)
| ~ r1_tarski(X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10693]) ).
tcf(c_369,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,[],[f10695]) ).
tcf(c_371,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,[],[f10699]) ).
tcf(c_372,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,[],[f10701]) ).
tcf(c_373,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,[],[f10702]) ).
tcf(c_374,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,[],[f10703]) ).
tcf(c_375,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,[],[f10704]) ).
tcf(c_376,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10705]) ).
tcf(c_377,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10706]) ).
tcf(c_378,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,[],[f10708]) ).
tcf(c_379,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,[],[f10707]) ).
tcf(c_380,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,[],[f14539]) ).
tcf(c_381,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,[],[f14540]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ r1_tarski(X0,k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f14541]) ).
tcf(c_383,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X0)) ),
inference(cnf_transformation,[],[f14542]) ).
tcf(c_384,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,[],[f10713]) ).
tcf(c_385,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,[],[f10715]) ).
tcf(c_386,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,[],[f10714]) ).
tcf(c_387,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,[],[f14543]) ).
tcf(c_388,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,[],[f14544]) ).
tcf(c_390,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r1_tarski(X0,np__0) ),
inference(cnf_transformation,[],[f14546]) ).
tcf(c_391,plain,
! [X0: $i] : r1_tarski(np__0,X0),
inference(cnf_transformation,[],[f14547]) ).
tcf(c_392,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10721]) ).
tcf(c_393,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10724]) ).
tcf(c_396,plain,
! [X0: $i] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f10725]) ).
tcf(c_397,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(sK85(X0,X1),X1) ),
inference(cnf_transformation,[],[f10728]) ).
tcf(c_398,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK85(X0,X1),X0) ),
inference(cnf_transformation,[],[f10727]) ).
tcf(c_399,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10726]) ).
tcf(c_400,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,[],[f14548]) ).
tcf(c_401,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,[],[f10730]) ).
tcf(c_402,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,[],[f10731]) ).
tcf(c_403,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,[],[f10732]) ).
tcf(c_404,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,[],[f10733]) ).
tcf(c_405,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,[],[f10734]) ).
tcf(c_406,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,[],[f14549]) ).
tcf(c_407,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,[],[f10736]) ).
tcf(c_408,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,[],[f10737]) ).
tcf(c_409,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,[],[f10738]) ).
tcf(c_410,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,[],[f10739]) ).
tcf(c_411,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,[],[f10740]) ).
tcf(c_412,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(sK86(X0,X1,X2,X3),X3)
| ~ r2_hidden(sK86(X0,X1,X2,X3),X2)
| ~ r2_hidden(sK86(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f10744]) ).
tcf(c_413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK86(X1,X0,X2,X3),X2)
| r2_hidden(sK86(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,[],[f10743]) ).
tcf(c_414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK86(X1,X0,X2,X3),X3)
| r2_hidden(sK86(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,[],[f10742]) ).
tcf(c_415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK86(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,[],[f10741]) ).
tcf(c_416,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,[],[f10745]) ).
tcf(c_417,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,[],[f10746]) ).
tcf(c_418,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,[],[f10747]) ).
tcf(c_419,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10748]) ).
tcf(c_421,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10750]) ).
tcf(c_423,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f10753]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10752]) ).
tcf(c_425,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f10751]) ).
tcf(c_426,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10755]) ).
tcf(c_427,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK87(X1),X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10757]) ).
tcf(c_428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,sK87(X1)) ),
inference(cnf_transformation,[],[f10756]) ).
tcf(c_429,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r2_hidden(sK88(X0,X1),X1)
| ~ r2_hidden(sK88(X0,X1),X0) ),
inference(cnf_transformation,[],[f10759]) ).
tcf(c_430,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK88(X0,X1),X1)
| r2_hidden(sK88(X0,X1),X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f10758]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10760]) ).
tcf(c_432,plain,
v1_relat_1(sK89),
inference(cnf_transformation,[],[f10763]) ).
tcf(c_433,plain,
v1_xboole_0(sK89),
inference(cnf_transformation,[],[f10762]) ).
tcf(c_434,plain,
v1_funct_1(sK89),
inference(cnf_transformation,[],[f10761]) ).
tcf(c_435,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10764]) ).
tcf(c_436,plain,
~ v1_xboole_0(sK90),
inference(cnf_transformation,[],[f10766]) ).
tcf(c_437,plain,
v1_relat_1(sK90),
inference(cnf_transformation,[],[f10765]) ).
tcf(c_440,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10769]) ).
tcf(c_441,plain,
v1_xboole_0(sK91),
inference(cnf_transformation,[],[f10771]) ).
tcf(c_442,plain,
v1_relat_1(sK91),
inference(cnf_transformation,[],[f10770]) ).
tcf(c_443,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10772]) ).
tcf(c_446,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f14554]) ).
tcf(c_447,plain,
~ v1_xboole_0(sK92),
inference(cnf_transformation,[],[f10776]) ).
tcf(c_448,plain,
v1_xboole_0(sK93),
inference(cnf_transformation,[],[f10777]) ).
tcf(c_450,plain,
! [X0: $i] :
( v3_filter_0(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f10779]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ sP4(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_lattices(X0,sK96(X0,X1),sK97(X0,X1)),X1) ),
inference(cnf_transformation,[],[f10792]) ).
tcf(c_458,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| r2_hidden(sK96(X1,X0),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ sP4(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10791]) ).
tcf(c_459,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| r2_hidden(sK97(X1,X0),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ sP4(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10790]) ).
tcf(c_460,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| m1_subset_1(sK97(X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ sP4(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10789]) ).
tcf(c_461,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| m1_subset_1(sK96(X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ sP4(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10788]) ).
tcf(c_462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| r2_hidden(k4_lattices(X1,X3,X2),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,[],[f10787]) ).
tcf(c_463,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| sP4(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,[],[f10786]) ).
tcf(c_464,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(sK99(X0,X1),X1)
| ~ r2_hidden(sK98(X0,X1),X1)
| ~ r2_hidden(k4_lattices(X0,sK98(X0,X1),sK99(X0,X1)),X1) ),
inference(cnf_transformation,[],[f10800]) ).
tcf(c_465,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| r2_hidden(sK98(X1,X0),X0)
| r2_hidden(k4_lattices(X1,sK98(X1,X0),sK99(X1,X0)),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10799]) ).
tcf(c_466,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| r2_hidden(sK99(X1,X0),X0)
| r2_hidden(k4_lattices(X1,sK98(X1,X0),sK99(X1,X0)),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10798]) ).
tcf(c_467,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| m1_subset_1(sK99(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,[],[f10797]) ).
tcf(c_468,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| m1_subset_1(sK98(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,[],[f10796]) ).
tcf(c_469,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,[],[f10795]) ).
tcf(c_470,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,[],[f10794]) ).
tcf(c_471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| r2_hidden(k4_lattices(X1,X3,X2),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,[],[f10793]) ).
tcf(c_472,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,[],[f10801]) ).
tcf(c_473,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,[],[f10803]) ).
tcf(c_474,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,[],[f10802]) ).
tcf(c_475,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,[],[f10805]) ).
tcf(c_476,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,[],[f10804]) ).
tcf(c_477,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,sK100(X0),sK101(X0)),k3_lattices(X0,sK100(X0),sK102(X0))) != k3_lattices(X0,sK100(X0),k4_lattices(X0,sK101(X0),sK102(X0))) ) ),
inference(cnf_transformation,[],[f10813]) ).
tcf(c_478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK102(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,[],[f10812]) ).
tcf(c_479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK101(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,[],[f10811]) ).
tcf(c_480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK100(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,[],[f10810]) ).
tcf(c_481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k4_lattices(X0,k3_lattices(X0,X2,X1),k3_lattices(X0,X2,X3)) = k3_lattices(X0,X2,k4_lattices(X0,X1,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,sK103(X0),sK104(X0)),k4_lattices(X0,sK103(X0),sK105(X0))) != k4_lattices(X0,sK103(X0),k3_lattices(X0,sK104(X0),sK105(X0))) ) ),
inference(cnf_transformation,[],[f10809]) ).
tcf(c_482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK105(X1),u1_struct_0(X1))
| ( k4_lattices(X1,k3_lattices(X1,X2,X0),k3_lattices(X1,X2,X3)) = k3_lattices(X1,X2,k4_lattices(X1,X0,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,[],[f10808]) ).
tcf(c_483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK104(X1),u1_struct_0(X1))
| ( k4_lattices(X1,k3_lattices(X1,X2,X0),k3_lattices(X1,X2,X3)) = k3_lattices(X1,X2,k4_lattices(X1,X0,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,[],[f10807]) ).
tcf(c_484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK103(X1),u1_struct_0(X1))
| ( k4_lattices(X1,k3_lattices(X1,X2,X0),k3_lattices(X1,X2,X3)) = k3_lattices(X1,X2,k4_lattices(X1,X0,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,[],[f10806]) ).
tcf(c_485,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_xboole_0(X0,k2_tarski(X2,X2)),X1)
| ~ r2_hidden(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14556]) ).
tcf(c_486,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| ~ r1_tarski(k2_xboole_0(X0,k2_tarski(X1,X1)),X2) ),
inference(cnf_transformation,[],[f14557]) ).
tcf(c_489,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k2_xboole_0(X1,k2_tarski(X0,X0))),
inference(cnf_transformation,[],[f15398]) ).
tcf(c_490,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X1)
| ( X0 = X2 )
| ~ r2_hidden(X0,k2_xboole_0(X1,k2_tarski(X2,X2))) ),
inference(cnf_transformation,[],[f14561]) ).
tcf(c_491,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X0)
| r1_tarski(X0,X1)
| ~ r1_tarski(X0,k2_xboole_0(X1,k2_tarski(X2,X2))) ),
inference(cnf_transformation,[],[f14562]) ).
tcf(c_492,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)),k5_finsub_1(k2_xboole_0(X0,X1))),
inference(cnf_transformation,[],[f10821]) ).
tcf(c_494,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_xboole_0(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f10823]) ).
tcf(c_495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r1_tarski(k2_xboole_0(X0,X3),k2_zfmisc_1(k2_xboole_0(X1,X4),k2_xboole_0(X2,X5)))
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f10824]) ).
tcf(c_496,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k2_relat_1(X0),k2_relat_1(X1)) = k2_relat_1(k2_xboole_0(X0,X1)) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f10825]) ).
tcf(c_497,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k1_relat_1(X0),k1_relat_1(X1)) = k1_relat_1(k2_xboole_0(X0,X1)) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f10826]) ).
tcf(c_498,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_xboole_0(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f10827]) ).
tcf(c_501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_xboole_0(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,[],[f10830]) ).
tcf(c_503,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1)) = k2_zfmisc_1(k2_xboole_0(X0,X2),X1),
inference(cnf_transformation,[],[f10833]) ).
tcf(c_504,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)) = k2_zfmisc_1(X0,k2_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f10832]) ).
tcf(c_505,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_zfmisc_1(X0,X1),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))),
inference(cnf_transformation,[],[f10834]) ).
tcf(c_506,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(k2_tarski(np__0,np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),
inference(cnf_transformation,[],[f14565]) ).
tcf(c_507,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)),k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(cnf_transformation,[],[f10836]) ).
tcf(c_509,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k2_tarski(X0,X0),X1) = X1 )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14567]) ).
tcf(c_511,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( X0 = X1 )
| ( k2_xboole_0(X0,X1) != k2_tarski(X2,X2) ) ),
inference(cnf_transformation,[],[f14569]) ).
tcf(c_512,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X2,X2) = X0 )
| ( k2_xboole_0(X0,X1) != k2_tarski(X2,X2) ) ),
inference(cnf_transformation,[],[f15708]) ).
tcf(c_518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(X2,X2) = X1 )
| ( k2_tarski(X2,X2) = X0 )
| ( k2_xboole_0(X0,X1) != k2_tarski(X2,X2) ) ),
inference(cnf_transformation,[],[f15710]) ).
tcf(c_519,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( k2_tarski(X2,X2) = X1 )
| ( k2_xboole_0(X0,X1) != k2_tarski(X2,X2) ) ),
inference(cnf_transformation,[],[f15711]) ).
tcf(c_522,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k2_xboole_0(X0,X1)) = np__0,
inference(cnf_transformation,[],[f14579]) ).
tcf(c_524,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X1,X2))
| ~ r1_tarski(k4_xboole_0(X0,X1),X2) ),
inference(cnf_transformation,[],[f10853]) ).
tcf(c_525,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f10854]) ).
tcf(c_526,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1)) = k4_xboole_0(k2_xboole_0(X0,X2),X1),
inference(cnf_transformation,[],[f10855]) ).
tcf(c_527,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,X1),X2) = k4_xboole_0(X0,k2_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f10856]) ).
tcf(c_528,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(X0,X1),X1) = k4_xboole_0(X0,X1),
inference(cnf_transformation,[],[f10857]) ).
tcf(c_529,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k4_xboole_0(X1,X0)) = k2_xboole_0(X0,X1),
inference(cnf_transformation,[],[f10858]) ).
tcf(c_530,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_xboole_0(X0,X1) != np__0 ) ),
inference(cnf_transformation,[],[f14580]) ).
tcf(c_531,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(X1,X2) = X0 )
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,sK106(X1,X0,X2)) ),
inference(cnf_transformation,[],[f10862]) ).
tcf(c_532,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,sK106(X0,X1,X2))
| ( k2_xboole_0(X0,X2) = X1 )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10861]) ).
tcf(c_533,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,sK106(X0,X1,X2))
| ( k2_xboole_0(X0,X2) = X1 )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10860]) ).
tcf(c_534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k2_xboole_0(X0,X2),k2_xboole_0(X1,X3))
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10863]) ).
tcf(c_535,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(X0,X1) = X1 )
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10864]) ).
tcf(c_536,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ r1_tarski(k2_xboole_0(X0,X1),X2) ),
inference(cnf_transformation,[],[f10865]) ).
tcf(c_537,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X2,X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10866]) ).
tcf(c_538,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_xboole_0(X0,X2),k2_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10867]) ).
tcf(c_539,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_xboole_0(X0,X2),X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10868]) ).
tcf(c_540,plain,
! [X0: $i,X1: $i] : r1_tarski(X0,k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f10869]) ).
tcf(c_541,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k2_xboole_0(X0,X1)) = k2_xboole_0(X0,X1),
inference(cnf_transformation,[],[f10870]) ).
tcf(c_543,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_xboole_0(X0,X1),X2) = k2_xboole_0(X0,k2_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f10872]) ).
tcf(c_544,plain,
! [X0: $i] : k2_xboole_0(X0,np__0) = X0,
inference(cnf_transformation,[],[f14581]) ).
tcf(c_545,plain,
! [X0: $i] : k2_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f10874]) ).
tcf(c_546,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f10875]) ).
tcf(c_547,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(X0,X1) = X2 )
| ~ r2_hidden(sK107(X0,X1,X2),X2)
| ~ r2_hidden(sK107(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f10881]) ).
tcf(c_548,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(X0,X1) = X2 )
| ~ r2_hidden(sK107(X0,X1,X2),X2)
| ~ r2_hidden(sK107(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f10880]) ).
tcf(c_549,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK107(X0,X1,X2),X2)
| r2_hidden(sK107(X0,X1,X2),X1)
| r2_hidden(sK107(X0,X1,X2),X0)
| ( k2_xboole_0(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f10879]) ).
tcf(c_550,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_xboole_0(X1,X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15399]) ).
tcf(c_551,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_xboole_0(X2,X1))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15400]) ).
tcf(c_552,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| r2_hidden(X0,X1)
| ~ r2_hidden(X0,k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f15401]) ).
tcf(c_553,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f10882]) ).
tcf(c_554,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f10883]) ).
tcf(c_555,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,[],[f10885]) ).
tcf(c_556,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,[],[f10884]) ).
tcf(c_557,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,[],[f10886]) ).
tcf(c_558,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,[],[f10888]) ).
tcf(c_559,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,[],[f10887]) ).
tcf(c_560,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,[],[f10890]) ).
tcf(c_561,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,[],[f10889]) ).
tcf(c_562,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,[],[f10894]) ).
tcf(c_563,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,[],[f10893]) ).
tcf(c_564,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,[],[f10892]) ).
tcf(c_565,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,[],[f10891]) ).
tcf(c_566,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,[],[f10895]) ).
tcf(c_567,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),sK108(X0,X1,X2)),k4_filter_1(u1_struct_0(X0),sK108(X0,X1,X2),u2_lattices(X0)),k4_filter_1(u1_struct_0(X0),sK108(X0,X1,X2),u1_lattices(X0))) != X2 ) ),
inference(cnf_transformation,[],[f15712]) ).
tcf(c_568,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k5_filter_1(X1,X0) = X2 )
| ( sK108(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,[],[f15713]) ).
tcf(c_569,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v3_relat_2(sK108(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,[],[f15714]) ).
tcf(c_570,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v8_relat_2(sK108(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,[],[f15715]) ).
tcf(c_571,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_partfun1(sK108(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,[],[f15716]) ).
tcf(c_572,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m2_relset_1(sK108(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,[],[f15717]) ).
tcf(c_573,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,[],[f15718]) ).
tcf(c_574,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) = k1_lattice2(X0) )
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f10903]) ).
tcf(c_575,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_filter_0(X1,X0) = X2 )
| ~ sP6(X2,X1,X0)
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f10905]) ).
tcf(c_576,plain,
! [X0: $i,X1: $i] :
( sP5(X1,X0,k8_filter_0(X0,X1))
| ~ sP6(k8_filter_0(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f15404]) ).
tcf(c_587,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| sP6(X2,X1,X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10916]) ).
tcf(c_588,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,[],[f10919]) ).
tcf(c_589,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,[],[f10918]) ).
tcf(c_590,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,[],[f10917]) ).
tcf(c_591,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,[],[f10921]) ).
tcf(c_592,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,[],[f10920]) ).
tcf(c_593,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,[],[f10922]) ).
tcf(c_594,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,[],[f10924]) ).
tcf(c_596,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v3_struct_0(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))) ),
inference(cnf_transformation,[],[f10927]) ).
tcf(c_597,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v10_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10926]) ).
tcf(c_598,plain,
! [X0: $i] :
( v3_struct_0(X0)
| l3_lattices(g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10925]) ).
tcf(c_599,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_lattices(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)),X0,X2) = k3_lopclset(X1,X0,X2) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ m2_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1))))
| ~ m1_subset_1(X0,u1_struct_0(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)))) ),
inference(cnf_transformation,[],[f15409]) ).
tcf(c_600,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_lattices(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)),X0,X2) = k2_lopclset(X1,X0,X2) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ m2_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1))))
| ~ m1_subset_1(X0,u1_struct_0(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)))) ),
inference(cnf_transformation,[],[f15411]) ).
tcf(c_601,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k4_lopclset(X0) = X1 )
| ~ v1_funct_1(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ( k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,sK111(X0,X1),sK112(X0,X1)) != k2_lopclset(X0,sK111(X0,X1),sK112(X0,X1)) ) ),
inference(cnf_transformation,[],[f10933]) ).
tcf(c_602,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_subset_1(sK112(X1,X0),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ( k4_lopclset(X1) = X0 )
| ~ v1_funct_1(X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ m2_relset_1(X0,k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ),
inference(cnf_transformation,[],[f10932]) ).
tcf(c_603,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_subset_1(sK111(X1,X0),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ( k4_lopclset(X1) = X0 )
| ~ v1_funct_1(X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ m2_relset_1(X0,k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ),
inference(cnf_transformation,[],[f10931]) ).
tcf(c_604,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),k4_lopclset(X0),X2,X1) = k2_lopclset(X0,X2,X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_funct_1(k4_lopclset(X0))
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m2_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f15412]) ).
tcf(c_605,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_1(k4_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10936]) ).
tcf(c_606,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10935]) ).
tcf(c_607,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10934]) ).
tcf(c_608,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k5_lopclset(X0) = X1 )
| ~ v1_funct_1(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ( k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),X1,sK113(X0,X1),sK114(X0,X1)) != k3_lopclset(X0,sK113(X0,X1),sK114(X0,X1)) ) ),
inference(cnf_transformation,[],[f10940]) ).
tcf(c_609,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_subset_1(sK114(X1,X0),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ( k5_lopclset(X1) = X0 )
| ~ v1_funct_1(X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ m2_relset_1(X0,k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ),
inference(cnf_transformation,[],[f10939]) ).
tcf(c_610,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_subset_1(sK113(X1,X0),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ( k5_lopclset(X1) = X0 )
| ~ v1_funct_1(X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ m2_relset_1(X0,k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ),
inference(cnf_transformation,[],[f10938]) ).
tcf(c_611,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),k5_lopclset(X0),X2,X1) = k3_lopclset(X0,X2,X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_funct_1(k5_lopclset(X0))
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m2_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f15413]) ).
tcf(c_612,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_1(k5_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10943]) ).
tcf(c_613,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10942]) ).
tcf(c_614,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10941]) ).
tcf(c_615,plain,
l3_lattices(sK115),
inference(cnf_transformation,[],[f10944]) ).
tcf(c_616,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK116(X1,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10948]) ).
tcf(c_617,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(sK116(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10947]) ).
tcf(c_618,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK116(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10946]) ).
tcf(c_619,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(sK116(X2,X1),X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X1)) ),
inference(cnf_transformation,[],[f10945]) ).
tcf(c_620,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK117(X1,X0),k1_zfmisc_1(X1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10950]) ).
tcf(c_621,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X2,X0),sK117(X1,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ r2_hidden(X0,k2_zfmisc_1(sK117(X1,X2),sK117(X1,X2))) ),
inference(cnf_transformation,[],[f10949]) ).
tcf(c_622,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))
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10951]) ).
tcf(c_623,plain,
! [X0: $i,X1: $i] : v1_relat_1(k2_zfmisc_1(X0,X1)),
inference(cnf_transformation,[],[f10952]) ).
tcf(c_624,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f10953]) ).
tcf(c_625,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,[],[f14582]) ).
tcf(c_626,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,[],[f14583]) ).
tcf(c_627,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k2_zfmisc_1(X0,X0) != k2_zfmisc_1(X1,X1) ) ),
inference(cnf_transformation,[],[f10956]) ).
tcf(c_629,plain,
! [X0: $i] : k2_zfmisc_1(np__0,X0) = np__0,
inference(cnf_transformation,[],[f15414]) ).
tcf(c_630,plain,
! [X0: $i] : k2_zfmisc_1(X0,np__0) = np__0,
inference(cnf_transformation,[],[f15415]) ).
tcf(c_631,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k2_zfmisc_1(X0,X1) != np__0 ) ),
inference(cnf_transformation,[],[f14587]) ).
tcf(c_632,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK118(X0,X1),X0,X1),
inference(cnf_transformation,[],[f10961]) ).
tcf(c_633,plain,
v1_relat_1(sK119),
inference(cnf_transformation,[],[f10963]) ).
tcf(c_634,plain,
v1_funct_1(sK119),
inference(cnf_transformation,[],[f10962]) ).
tcf(c_635,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(X0,np__0,X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14589]) ).
tcf(c_636,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(X0,np__0,X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14590]) ).
tcf(c_637,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,[],[f14591]) ).
tcf(c_638,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,np__0) ),
inference(cnf_transformation,[],[f14592]) ).
tcf(c_639,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,[],[f14593]) ).
tcf(c_640,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f14594]) ).
tcf(c_642,plain,
! [X0: $i,X1: $i] : m2_relset_1(np__0,X0,X1),
inference(cnf_transformation,[],[f14596]) ).
tcf(c_643,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14598]) ).
tcf(c_644,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,[],[f14599]) ).
tcf(c_645,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,[],[f14600]) ).
tcf(c_646,plain,
! [X0: $i,X1: $i] : m2_relset_1(np__0,X0,X1),
inference(cnf_transformation,[],[f14601]) ).
tcf(c_647,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( sK120(X0) != sK121(X0) ) ),
inference(cnf_transformation,[],[f14602]) ).
tcf(c_648,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k1_relat_1(sK120(X0)) = X0 ) ),
inference(cnf_transformation,[],[f14603]) ).
tcf(c_649,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k1_relat_1(sK121(X0)) = X0 ) ),
inference(cnf_transformation,[],[f14604]) ).
tcf(c_650,plain,
! [X0: $i] :
( v1_relat_1(sK121(X0))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14605]) ).
tcf(c_651,plain,
! [X0: $i] :
( v1_funct_1(sK121(X0))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14606]) ).
tcf(c_652,plain,
! [X0: $i] :
( v1_relat_1(sK120(X0))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14607]) ).
tcf(c_653,plain,
! [X0: $i] :
( v1_funct_1(sK120(X0))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14608]) ).
tcf(c_654,plain,
! [X0: $i] :
( r2_hidden(sK122(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14609]) ).
tcf(c_655,plain,
! [X0: $i] : ~ r2_hidden(X0,np__0),
inference(cnf_transformation,[],[f15416]) ).
tcf(c_656,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK123(X0,X1),X0)
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f10990]) ).
tcf(c_657,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK123(X0,X1),X1)
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f10989]) ).
tcf(c_658,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v1_xcmplx_0(sK123(X0,X1))
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f10988]) ).
tcf(c_660,plain,
! [X0: $i] :
( r2_hidden(sK124(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14611]) ).
tcf(c_661,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,sK124(X1)) ),
inference(cnf_transformation,[],[f14612]) ).
tcf(c_662,plain,
! [X0: $i] :
( r2_hidden(sK125(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14613]) ).
tcf(c_663,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,sK125(X1)) ),
inference(cnf_transformation,[],[f14614]) ).
tcf(c_664,plain,
! [X0: $i] :
( r2_hidden(sK126(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14615]) ).
tcf(c_665,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,sK126(X1)) ),
inference(cnf_transformation,[],[f14616]) ).
tcf(c_666,plain,
! [X0: $i] :
( r2_hidden(sK127(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14617]) ).
tcf(c_667,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X2,X1)
| ( X1 = np__0 )
| ~ r2_hidden(X2,X0)
| ~ r2_hidden(X0,sK127(X1)) ),
inference(cnf_transformation,[],[f14618]) ).
tcf(c_668,plain,
! [X0: $i] :
( r2_hidden(sK128(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14619]) ).
tcf(c_669,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ( X1 = np__0 )
| ~ r2_hidden(X0,sK128(X1)) ),
inference(cnf_transformation,[],[f14620]) ).
tcf(c_670,plain,
! [X0: $i] :
( r2_hidden(sK129(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14621]) ).
tcf(c_671,plain,
! [X0: $i] :
( r1_xboole_0(sK129(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14622]) ).
tcf(c_672,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_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f11003]) ).
tcf(c_673,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,[],[f14623]) ).
tcf(c_674,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,[],[f14624]) ).
tcf(c_675,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,[],[f14625]) ).
tcf(c_676,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,[],[f14626]) ).
tcf(c_677,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,[],[f14627]) ).
tcf(c_678,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,[],[f14628]) ).
tcf(c_679,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,[],[f14629]) ).
tcf(c_680,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,[],[f14630]) ).
tcf(c_681,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(cnf_transformation,[],[f14631]) ).
tcf(c_682,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(cnf_transformation,[],[f14632]) ).
tcf(c_683,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,[],[f11015]) ).
tcf(c_684,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,[],[f11014]) ).
tcf(c_686,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,[],[f11017]) ).
tcf(c_687,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| r1_xboole_0(k2_tarski(X0,X0),X1) ),
inference(cnf_transformation,[],[f14634]) ).
tcf(c_688,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X2)
| ~ r1_xboole_0(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f11019]) ).
tcf(c_690,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1))
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f14636]) ).
tcf(c_691,plain,
! [X0: $i] : ~ r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X0)),
inference(cnf_transformation,[],[f15417]) ).
tcf(c_692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k2_xboole_0(k2_xboole_0(X0,X2),X3),X1)
| ~ r1_xboole_0(X3,X1)
| ~ r1_xboole_0(X2,X1)
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f11023]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f11025]) ).
tcf(c_694,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f11024]) ).
tcf(c_695,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,[],[f14638]) ).
tcf(c_698,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(k4_xboole_0(X2,X0),X1) = k4_xboole_0(k2_xboole_0(X2,X1),X0) )
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f11029]) ).
tcf(c_699,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,[],[f11030]) ).
tcf(c_700,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X2,X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11031]) ).
tcf(c_701,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,[],[f11032]) ).
tcf(c_702,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ( k4_xboole_0(X0,X1) != X0 ) ),
inference(cnf_transformation,[],[f11034]) ).
tcf(c_703,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = X0 )
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f11033]) ).
tcf(c_704,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f11035]) ).
tcf(c_705,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,[],[f11036]) ).
tcf(c_706,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X1,X2))
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f11037]) ).
tcf(c_707,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(X0,X1),X1),
inference(cnf_transformation,[],[f11038]) ).
tcf(c_708,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))) = k4_xboole_0(X0,k4_xboole_0(X0,X2)) )
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f14640]) ).
tcf(c_709,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,[],[f14641]) ).
tcf(c_710,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,[],[f14642]) ).
tcf(c_711,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,[],[f14643]) ).
tcf(c_713,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f11044]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ r1_xboole_0(X3,X1)
| ~ r1_xboole_0(X2,X0)
| ( k2_xboole_0(X0,X1) != k2_xboole_0(X2,X3) ) ),
inference(cnf_transformation,[],[f11045]) ).
tcf(c_715,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ r1_xboole_0(X2,X1)
| ~ r1_xboole_0(X0,X1)
| ( k2_xboole_0(X0,X1) != k2_xboole_0(X2,X1) ) ),
inference(cnf_transformation,[],[f11046]) ).
tcf(c_716,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k2_xboole_0(X1,X2))
| ~ r1_xboole_0(X0,X2)
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f11049]) ).
tcf(c_717,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X1)
| ~ r1_xboole_0(X0,k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f11048]) ).
tcf(c_718,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X2)
| ~ r1_xboole_0(X0,k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f11047]) ).
tcf(c_719,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ r1_xboole_0(X0,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11050]) ).
tcf(c_720,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,[],[f11051]) ).
tcf(c_721,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,[],[f14645]) ).
tcf(c_723,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r1_xboole_0(X0,X0) ),
inference(cnf_transformation,[],[f14647]) ).
tcf(c_724,plain,
! [X0: $i] : r1_xboole_0(X0,np__0),
inference(cnf_transformation,[],[f14648]) ).
tcf(c_725,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,[],[f11056]) ).
tcf(c_726,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X2)
| ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11057]) ).
tcf(c_727,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f11058]) ).
tcf(c_730,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK130(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(cnf_transformation,[],[f14649]) ).
tcf(c_731,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,[],[f14650]) ).
tcf(c_732,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK131(X0,X1),X0) ),
inference(cnf_transformation,[],[f11067]) ).
tcf(c_733,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK131(X0,X1),X1) ),
inference(cnf_transformation,[],[f11066]) ).
tcf(c_734,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_xboole_0(X1,X2)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11065]) ).
tcf(c_735,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) != np__0 ) ),
inference(cnf_transformation,[],[f14651]) ).
tcf(c_736,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = np__0 )
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f14652]) ).
tcf(c_737,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,[],[f11070]) ).
tcf(c_738,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,[],[f11072]) ).
tcf(c_739,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,[],[f11071]) ).
tcf(c_740,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,[],[f11074]) ).
tcf(c_741,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,[],[f11073]) ).
tcf(c_742,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,[],[f11075]) ).
tcf(c_743,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,[],[f11076]) ).
tcf(c_744,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,[],[f11077]) ).
tcf(c_745,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,[],[f11078]) ).
tcf(c_746,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,[],[f11079]) ).
tcf(c_747,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k2_tops_1(X1,X0))
| r1_xboole_0(X0,sK132(X1,X0,X2))
| r1_xboole_0(k3_subset_1(u1_struct_0(X1),X0),sK132(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,[],[f11085]) ).
tcf(c_748,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k2_tops_1(X1,X0))
| v3_pre_topc(sK132(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,[],[f11084]) ).
tcf(c_749,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k2_tops_1(X1,X0))
| r2_hidden(X2,sK132(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,[],[f11083]) ).
tcf(c_750,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k2_tops_1(X1,X0))
| m1_subset_1(sK132(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,[],[f11082]) ).
tcf(c_751,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)
| ~ r2_hidden(X0,X3)
| ~ v3_pre_topc(X3,X1)
| ~ 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,[],[f11081]) ).
tcf(c_752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r2_hidden(X3,X2)
| ~ v3_pre_topc(X2,X0)
| ~ 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,[],[f11080]) ).
tcf(c_753,plain,
l1_group_1(sK133),
inference(cnf_transformation,[],[f11086]) ).
tcf(c_754,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(sK134(X1,X0),X0)
| ( X0 = np__0 )
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f14653]) ).
tcf(c_755,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m1_subset_1(sK134(X1,X0),X1)
| ( X0 = np__0 )
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f14654]) ).
tcf(c_756,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,[],[f11089]) ).
tcf(c_757,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,[],[f11090]) ).
tcf(c_758,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK135(X0),k5_finsub_1(X0)) ),
inference(cnf_transformation,[],[f11093]) ).
tcf(c_759,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK135(X0)) ),
inference(cnf_transformation,[],[f11092]) ).
tcf(c_760,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK135(X0)) ),
inference(cnf_transformation,[],[f11091]) ).
tcf(c_761,plain,
! [X0: $i] : m1_subset_1(sK136(X0),k5_finsub_1(X0)),
inference(cnf_transformation,[],[f11096]) ).
tcf(c_762,plain,
! [X0: $i] : v1_xboole_0(sK136(X0)),
inference(cnf_transformation,[],[f11095]) ).
tcf(c_763,plain,
! [X0: $i] : v1_finset_1(sK136(X0)),
inference(cnf_transformation,[],[f11094]) ).
tcf(c_764,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,[],[f11097]) ).
tcf(c_765,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f11098]) ).
tcf(c_767,plain,
k2_tarski(np__0,np__0) = k5_finsub_1(np__0),
inference(cnf_transformation,[],[f14655]) ).
tcf(c_768,plain,
! [X0: $i] :
( ( k1_zfmisc_1(X0) = k5_finsub_1(X0) )
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11101]) ).
tcf(c_769,plain,
! [X0: $i] : r1_tarski(k5_finsub_1(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f11102]) ).
tcf(c_770,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),k5_finsub_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11103]) ).
tcf(c_771,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f11104]) ).
tcf(c_772,plain,
~ v1_finset_1(k5_numbers),
inference(cnf_transformation,[],[f11105]) ).
tcf(c_773,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,[],[f11108]) ).
tcf(c_774,plain,
! [X0: $i] :
( m2_subset_1(sK137(X0),k1_numbers,k5_numbers)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11107]) ).
tcf(c_775,plain,
! [X0: $i] :
( ( k1_card_1(sK137(X0)) = k1_card_1(X0) )
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11106]) ).
tcf(c_776,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k1_card_1(X0)) ),
inference(cnf_transformation,[],[f11110]) ).
tcf(c_777,plain,
! [X0: $i] :
( v1_finset_1(k1_card_1(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11109]) ).
tcf(c_779,plain,
! [X0: $i] :
( v1_finset_1(k2_relat_1(X0))
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11112]) ).
tcf(c_780,plain,
~ v1_xboole_0(sK138),
inference(cnf_transformation,[],[f11116]) ).
tcf(c_781,plain,
v1_relat_1(sK138),
inference(cnf_transformation,[],[f11115]) ).
tcf(c_782,plain,
v1_funct_1(sK138),
inference(cnf_transformation,[],[f11114]) ).
tcf(c_783,plain,
v1_finset_1(sK138),
inference(cnf_transformation,[],[f11113]) ).
tcf(c_784,plain,
v1_xboole_0(sK139),
inference(cnf_transformation,[],[f11121]) ).
tcf(c_785,plain,
v1_relat_1(sK139),
inference(cnf_transformation,[],[f11120]) ).
tcf(c_786,plain,
v1_funct_1(sK139),
inference(cnf_transformation,[],[f11119]) ).
tcf(c_787,plain,
v2_funct_1(sK139),
inference(cnf_transformation,[],[f11118]) ).
tcf(c_788,plain,
v1_finset_1(sK139),
inference(cnf_transformation,[],[f11117]) ).
tcf(c_789,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f11123]) ).
tcf(c_791,plain,
! [X0: $i] :
( v1_finset_1(k1_relat_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11125]) ).
tcf(c_792,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finset_1(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f11124]) ).
tcf(c_793,plain,
! [X0: $i] :
( v1_finset_1(k2_relat_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finset_1(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f11126]) ).
tcf(c_794,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f11128]) ).
tcf(c_795,plain,
! [X0: $i] :
( v1_finset_1(k1_zfmisc_1(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11127]) ).
tcf(c_796,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ( X0 = np__0 )
| ~ v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f14656]) ).
tcf(c_797,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ( X1 = np__0 )
| ~ v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f14657]) ).
tcf(c_799,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK140(X0),X0)
| ( X0 = np__0 )
| ~ v1_finset_1(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f14658]) ).
tcf(c_800,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( sK140(X0) = X2 )
| ~ v1_finset_1(X1)
| ~ r2_hidden(X2,X0)
| ~ r1_tarski(sK140(X0),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f14659]) ).
tcf(c_802,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11135]) ).
tcf(c_803,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK141(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f11138]) ).
tcf(c_804,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK141(X0)) ),
inference(cnf_transformation,[],[f11137]) ).
tcf(c_805,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK141(X0)) ),
inference(cnf_transformation,[],[f11136]) ).
tcf(c_806,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_zfmisc_1(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11139]) ).
tcf(c_807,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(X0,X1))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11140]) ).
tcf(c_810,plain,
! [X0: $i,X1: $i] : v1_finset_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f11142]) ).
tcf(c_811,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK142(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f11146]) ).
tcf(c_812,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK142(X0)) ),
inference(cnf_transformation,[],[f11145]) ).
tcf(c_813,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK142(X0)) ),
inference(cnf_transformation,[],[f11144]) ).
tcf(c_816,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11149]) ).
tcf(c_817,plain,
~ v1_xboole_0(sK143),
inference(cnf_transformation,[],[f11151]) ).
tcf(c_818,plain,
v1_finset_1(sK143),
inference(cnf_transformation,[],[f11150]) ).
tcf(c_819,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(X0,k1_relat_1(X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k1_funct_1(X0,sK144(k1_relat_1(X0),X1,X0)),X1) ),
inference(cnf_transformation,[],[f15421]) ).
tcf(c_820,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(X0,k1_relat_1(X0),X1)
| r2_hidden(sK144(k1_relat_1(X0),X1,X0),k1_relat_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15422]) ).
tcf(c_821,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(X0,k1_relat_1(X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k1_funct_1(X0,sK144(k1_relat_1(X0),X1,X0)),X1) ),
inference(cnf_transformation,[],[f15423]) ).
tcf(c_822,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(X0,k1_relat_1(X0),X1)
| r2_hidden(sK144(k1_relat_1(X0),X1,X0),k1_relat_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15424]) ).
tcf(c_823,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(X0,k1_relat_1(X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f11159]) ).
tcf(c_825,plain,
! [X0: $i] :
( v1_funct_2(X0,k1_relat_1(X0),k2_relat_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11162]) ).
tcf(c_827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X1,X3,X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X3)
| ~ r2_hidden(k1_funct_1(X1,X0),X2)
| ( k2_tarski(X0,X0) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f14663]) ).
tcf(c_829,plain,
! [X0: $i] :
( m2_relset_1(X0,k1_relat_1(X0),k2_relat_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11168]) ).
tcf(c_830,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,[],[f11170]) ).
tcf(c_831,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_relat_1(X0),X1)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f11172]) ).
tcf(c_832,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_relat_1(X0),X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f11171]) ).
tcf(c_833,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X2)
| ~ r1_tarski(k1_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f11173]) ).
tcf(c_834,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,[],[f11174]) ).
tcf(c_835,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,[],[f11175]) ).
tcf(c_836,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k2_relat_1(X0))
| r2_hidden(sK145(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11177]) ).
tcf(c_837,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,k2_relat_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ( k1_funct_1(X0,X1) != sK145(X2,X0) ) ),
inference(cnf_transformation,[],[f11176]) ).
tcf(c_838,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k1_relat_1(sK146(X0,X1)) = X1 ) ),
inference(cnf_transformation,[],[f14664]) ).
tcf(c_839,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(sK146(X0,X1)),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14665]) ).
tcf(c_840,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK146(X0,X1))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14666]) ).
tcf(c_841,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK146(X0,X1))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14667]) ).
tcf(c_842,plain,
! [X0: $i] : k1_relat_1(sK146(X0,np__0)) = np__0,
inference(cnf_transformation,[],[f15425]) ).
tcf(c_843,plain,
! [X0: $i] : r1_tarski(k2_relat_1(sK146(X0,np__0)),X0),
inference(cnf_transformation,[],[f15426]) ).
tcf(c_844,plain,
! [X0: $i] : v1_relat_1(sK146(X0,np__0)),
inference(cnf_transformation,[],[f15427]) ).
tcf(c_845,plain,
! [X0: $i] : v1_funct_1(sK146(X0,np__0)),
inference(cnf_transformation,[],[f15428]) ).
tcf(c_846,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_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(cnf_transformation,[],[f14672]) ).
tcf(c_847,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK147(X0,X1))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14673]) ).
tcf(c_848,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK147(X0,X1))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14674]) ).
tcf(c_849,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k1_relat_1(sK147(X0,X1)) = X0 ) ),
inference(cnf_transformation,[],[f14675]) ).
tcf(c_850,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_relat_1(sK147(X0,X1)) = k2_tarski(X1,X1) ) ),
inference(cnf_transformation,[],[f14676]) ).
tcf(c_851,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k1_funct_1(X1,X0),k1_funct_1(X1,X0)) = k2_relat_1(X1) )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( k2_tarski(X0,X0) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f14677]) ).
tcf(c_853,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_relat_1(X0) = X2 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(sK148(X0,X2),X2)
| ( k1_funct_1(X0,X1) != sK148(X0,X2) ) ),
inference(cnf_transformation,[],[f11198]) ).
tcf(c_854,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK148(X0,X1),X1)
| r2_hidden(sK149(X0,X1),k1_relat_1(X0))
| ( k2_relat_1(X0) = X1 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11197]) ).
tcf(c_855,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK148(X0,X1),X1)
| ( k2_relat_1(X0) = X1 )
| ( k1_funct_1(X0,sK149(X0,X1)) = sK148(X0,X1) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11196]) ).
tcf(c_856,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_funct_1(X1,X0),k2_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f15430]) ).
tcf(c_857,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK150(X1,X0),k1_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f15431]) ).
tcf(c_858,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(X1,sK150(X1,X0)) = X0 )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f15432]) ).
tcf(c_859,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k1_relat_1(X0) != k1_relat_1(X1) )
| ( k1_funct_1(X0,sK151(X0,X1)) != k1_funct_1(X1,sK151(X0,X1)) ) ),
inference(cnf_transformation,[],[f11200]) ).
tcf(c_860,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK151(X0,X1),k1_relat_1(X0))
| ( X0 = X1 )
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k1_relat_1(X0) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f11199]) ).
tcf(c_861,plain,
! [X0: $i] :
( ( k1_relat_1(X0) = np__0 )
| ~ v1_relat_1(X0)
| ( k2_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14678]) ).
tcf(c_862,plain,
! [X0: $i] :
( ( k2_relat_1(X0) = np__0 )
| ~ v1_relat_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14679]) ).
tcf(c_863,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v1_relat_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14680]) ).
tcf(c_864,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v1_relat_1(X0)
| ( k2_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14681]) ).
tcf(c_865,plain,
k1_relat_1(np__0) = np__0,
inference(cnf_transformation,[],[f14682]) ).
tcf(c_867,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,[],[f11208]) ).
tcf(c_868,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,[],[f11207]) ).
tcf(c_869,plain,
! [X0: $i] :
( r1_tarski(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0)))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11209]) ).
tcf(c_870,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK152(X1),k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f11210]) ).
tcf(c_871,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK153(X1),k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f11211]) ).
tcf(c_872,plain,
! [X0: $i] :
( v1_xboole_0(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11213]) ).
tcf(c_873,plain,
! [X0: $i] :
( v1_relat_1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11212]) ).
tcf(c_874,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f11214]) ).
tcf(c_875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_relat_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(sK154(X1,X2,X0,X3),sK155(X1,X2,X0,X3)),k2_tarski(sK154(X1,X2,X0,X3),sK154(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK154(X1,X2,X0,X3),sK155(X1,X2,X0,X3)),k2_tarski(sK154(X1,X2,X0,X3),sK154(X1,X2,X0,X3)))) ) ),
inference(cnf_transformation,[],[f14684]) ).
tcf(c_876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK154(X0,X1,X2,X3),X0)
| ( X2 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ( k2_zfmisc_1(X0,X1) != k1_relat_1(X3) )
| ( k2_zfmisc_1(X0,X1) != k1_relat_1(X2) ) ),
inference(cnf_transformation,[],[f11216]) ).
tcf(c_877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK155(X0,X1,X2,X3),X1)
| ( X2 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ( k2_zfmisc_1(X0,X1) != k1_relat_1(X3) )
| ( k2_zfmisc_1(X0,X1) != k1_relat_1(X2) ) ),
inference(cnf_transformation,[],[f11215]) ).
tcf(c_878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X2),X4)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X4)
| ( k1_funct_1(X0,k2_tarski(k2_tarski(sK156(X1,X2,X0,X3),sK157(X1,X2,X0,X3)),k2_tarski(sK156(X1,X2,X0,X3),sK156(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK156(X1,X2,X0,X3),sK157(X1,X2,X0,X3)),k2_tarski(sK156(X1,X2,X0,X3),sK156(X1,X2,X0,X3)))) ) ),
inference(cnf_transformation,[],[f14685]) ).
tcf(c_879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m1_subset_1(sK157(X1,X2,X0,X4),X2)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f11219]) ).
tcf(c_880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m1_subset_1(sK156(X1,X2,X0,X4),X1)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f11218]) ).
tcf(c_881,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f14686]) ).
tcf(c_882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X2),X4)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X4)
| ( k1_funct_1(X0,k2_tarski(k2_tarski(sK158(X1,X2,X0,X3),sK159(X1,X2,X0,X3)),k2_tarski(sK158(X1,X2,X0,X3),sK158(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK158(X1,X2,X0,X3),sK159(X1,X2,X0,X3)),k2_tarski(sK158(X1,X2,X0,X3),sK158(X1,X2,X0,X3)))) ) ),
inference(cnf_transformation,[],[f14687]) ).
tcf(c_883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK158(X1,X2,X0,X4),X1)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f11223]) ).
tcf(c_884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK159(X1,X2,X0,X4),X2)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f11222]) ).
tcf(c_885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X2,X1,X3)
| ~ v1_funct_2(X0,X1,X3)
| ~ m2_relset_1(X2,X1,X3)
| ~ m2_relset_1(X0,X1,X3)
| ( k1_funct_1(X0,sK160(X1,X0,X2)) != k1_funct_1(X2,sK160(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f11226]) ).
tcf(c_886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK160(X1,X0,X3),X1)
| ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f11225]) ).
tcf(c_887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_funct_1(X0,X3) = X2 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X1)
| ~ v1_funct_2(X0,X1,k2_tarski(X2,X2))
| ~ m2_relset_1(X0,X1,k2_tarski(X2,X2)) ),
inference(cnf_transformation,[],[f14688]) ).
tcf(c_888,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)
| ~ v1_funct_2(X0,k2_tarski(X1,X1),X2)
| ~ m2_relset_1(X0,k2_tarski(X1,X1),X2) ),
inference(cnf_transformation,[],[f14689]) ).
tcf(c_889,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X0,X1),X2)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_tarski(X1,X1),X2)
| ~ m2_relset_1(X0,k2_tarski(X1,X1),X2) ),
inference(cnf_transformation,[],[f14690]) ).
tcf(c_890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X2,X1,X3)
| ~ v1_funct_2(X0,X1,X3)
| ~ m2_relset_1(X2,X1,X3)
| ~ m2_relset_1(X0,X1,X3)
| ( k1_funct_1(X0,sK161(X1,X0,X2)) != k1_funct_1(X2,sK161(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f11231]) ).
tcf(c_891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK161(X1,X0,X3),X1)
| ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f11230]) ).
tcf(c_892,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK162(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X2,k2_relat_1(X0))
| ~ v1_funct_2(X0,X1,k2_relat_1(X0))
| ~ m2_relset_1(X0,X1,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f15433]) ).
tcf(c_893,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X0,sK162(X1,X2,X0)) = X2 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X2,k2_relat_1(X0))
| ~ v1_funct_2(X0,X1,k2_relat_1(X0))
| ~ m2_relset_1(X0,X1,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f15434]) ).
tcf(c_894,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK163(X1,X2,X0),X2)
| ( X2 = np__0 )
| ( k2_relat_1(X0) = X2 )
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14691]) ).
tcf(c_895,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)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ( sK163(X0,X1,X2) != k1_funct_1(X2,X3) ) ),
inference(cnf_transformation,[],[f14692]) ).
tcf(c_896,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)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14693]) ).
tcf(c_897,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)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14694]) ).
tcf(c_898,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(cnf_transformation,[],[f14695]) ).
tcf(c_899,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,k1_funct_1(X1,X0)),k2_tarski(X0,X0)),X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f15435]) ).
tcf(c_901,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X2,X0) = X1 )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(cnf_transformation,[],[f14698]) ).
tcf(c_905,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k1_relat_1(X0))
| ( k1_funct_1(X0,X1) = np__0 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15438]) ).
tcf(c_906,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f11248]) ).
tcf(c_908,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(k5_relat_1(X0,X1))
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f11246]) ).
tcf(c_909,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(X1,k7_relat_1(X0,k2_relat_1(X1))) = k5_relat_1(X1,X0) )
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11249]) ).
tcf(c_910,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,k2_relat_1(k5_relat_1(X2,X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X1,k2_relat_1(X0))
| ~ r1_tarski(k10_relat_1(X0,X1),k2_relat_1(X2)) ),
inference(cnf_transformation,[],[f11250]) ).
tcf(c_911,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k10_relat_1(X2,X0),k2_relat_1(X1))
| ~ v2_funct_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k2_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f11251]) ).
tcf(c_912,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,k1_relat_1(k5_relat_1(X0,X2)))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X1,k1_relat_1(X0))
| ~ r1_tarski(k9_relat_1(X0,X1),k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f11252]) ).
tcf(c_913,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(X1,X0),k1_relat_1(X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k1_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f11253]) ).
tcf(c_914,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_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X3)
| ~ r2_hidden(X2,X1)
| ~ v1_funct_2(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11254]) ).
tcf(c_915,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_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X4)
| ~ r2_hidden(X3,X1)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14703]) ).
tcf(c_916,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,[],[f11256]) ).
tcf(c_917,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k1_relat_1(X2) != k2_relat_1(X0) )
| ( k1_relat_1(X1) != k2_relat_1(X0) )
| ( k5_relat_1(X0,X1) != k5_relat_1(X0,X2) ) ),
inference(cnf_transformation,[],[f15439]) ).
tcf(c_918,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(X1),k2_relat_1(X0))
| ~ v2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k2_relat_1(k5_relat_1(X0,X1)) != k2_relat_1(X1) ) ),
inference(cnf_transformation,[],[f11258]) ).
tcf(c_919,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ sP8(X0)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f11260]) ).
tcf(c_920,plain,
! [X0: $i] :
( sP7(X0)
| ~ sP8(X0)
| ~ v2_funct_1(X0) ),
inference(cnf_transformation,[],[f11259]) ).
tcf(c_931,plain,
! [X0: $i] :
( sP8(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11271]) ).
tcf(c_932,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v2_funct_1(k5_relat_1(X1,X0))
| ( k1_relat_1(X0) != k2_relat_1(X1) ) ),
inference(cnf_transformation,[],[f11273]) ).
tcf(c_933,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v2_funct_1(k5_relat_1(X1,X0))
| ( k1_relat_1(X0) != k2_relat_1(X1) ) ),
inference(cnf_transformation,[],[f11272]) ).
tcf(c_934,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v2_funct_1(k5_relat_1(X0,X1))
| ~ r1_tarski(k2_relat_1(X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f11274]) ).
tcf(c_935,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(k5_relat_1(X0,X1))
| ~ v2_funct_1(X1)
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11275]) ).
tcf(c_936,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(X1) = X0 )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| ( sK166(X0,X1) != sK167(X0,X1) ) ),
inference(cnf_transformation,[],[f11283]) ).
tcf(c_937,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(X0) = X1 )
| ( k1_relat_1(sK166(X1,X0)) = X1 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f11282]) ).
tcf(c_938,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(X0) = X1 )
| ( k1_relat_1(sK167(X1,X0)) = X1 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f11281]) ).
tcf(c_939,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(X0) = X1 )
| ( k5_relat_1(X0,sK166(X1,X0)) = k5_relat_1(X0,sK167(X1,X0)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f11280]) ).
tcf(c_940,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK167(X1,X0))
| ( k2_relat_1(X0) = X1 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f11279]) ).
tcf(c_941,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK167(X1,X0))
| ( k2_relat_1(X0) = X1 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f11278]) ).
tcf(c_942,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK166(X1,X0))
| ( k2_relat_1(X0) = X1 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f11277]) ).
tcf(c_943,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK166(X1,X0))
| ( k2_relat_1(X0) = X1 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f11276]) ).
tcf(c_944,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(X0),k1_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k1_relat_1(k5_relat_1(X0,X1)) != k1_relat_1(X0) ) ),
inference(cnf_transformation,[],[f11284]) ).
tcf(c_945,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_relat_1(X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f11285]) ).
tcf(c_946,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_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f11286]) ).
tcf(c_947,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_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f11287]) ).
tcf(c_948,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,k1_relat_1(k5_relat_1(X0,X2)))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,X1),k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f11290]) ).
tcf(c_949,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_relat_1(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f11289]) ).
tcf(c_950,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X1,X0),k1_relat_1(X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f11288]) ).
tcf(c_951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_relat_1(X1,X0) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK168(X1,X0,X2),k1_relat_1(X2))
| ~ r2_hidden(sK168(X1,X0,X2),k1_relat_1(X1))
| ~ r2_hidden(k1_funct_1(X1,sK168(X1,X0,X2)),k1_relat_1(X0))
| ( k1_funct_1(X0,k1_funct_1(X1,sK169(X1,X0,X2))) != k1_funct_1(X2,sK169(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f11296]) ).
tcf(c_952,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK169(X0,X1,X2),k1_relat_1(X2))
| ( k5_relat_1(X0,X1) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK168(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(sK168(X0,X1,X2),k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,sK168(X0,X1,X2)),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f11295]) ).
tcf(c_953,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK168(X1,X0,X2),k1_relat_1(X2))
| r2_hidden(sK168(X1,X0,X2),k1_relat_1(X1))
| ( k5_relat_1(X1,X0) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k1_funct_1(X0,k1_funct_1(X1,sK169(X1,X0,X2))) != k1_funct_1(X2,sK169(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f11294]) ).
tcf(c_954,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK169(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK168(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK168(X0,X1,X2),k1_relat_1(X0))
| ( k5_relat_1(X0,X1) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11293]) ).
tcf(c_955,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK168(X1,X0,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X1,sK168(X1,X0,X2)),k1_relat_1(X0))
| ( k5_relat_1(X1,X0) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k1_funct_1(X0,k1_funct_1(X1,sK169(X1,X0,X2))) != k1_funct_1(X2,sK169(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f11292]) ).
tcf(c_956,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK169(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK168(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X0,sK168(X0,X1,X2)),k1_relat_1(X1))
| ( k5_relat_1(X0,X1) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11291]) ).
tcf(c_958,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k5_relat_1(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11297]) ).
tcf(c_959,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11299]) ).
tcf(c_960,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,[],[f11300]) ).
tcf(c_961,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,[],[f11301]) ).
tcf(c_962,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,[],[f11302]) ).
tcf(c_963,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,[],[f11303]) ).
tcf(c_964,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_relat_1(k7_relat_1(X0,X2),X1) = k7_relat_1(k5_relat_1(X0,X1),X2) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11304]) ).
tcf(c_965,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,[],[f11305]) ).
tcf(c_966,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,[],[f11306]) ).
tcf(c_967,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,X0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14704]) ).
tcf(c_968,plain,
! [X0: $i] :
( ( k5_relat_1(X0,np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14705]) ).
tcf(c_969,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,[],[f11309]) ).
tcf(c_970,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,[],[f11310]) ).
tcf(c_971,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(k5_relat_1(X0,X1),k5_relat_1(X0,X2)) = k5_relat_1(X0,k2_xboole_0(X1,X2)) )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11311]) ).
tcf(c_972,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,[],[f11312]) ).
tcf(c_973,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,[],[f11313]) ).
tcf(c_974,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,[],[f11314]) ).
tcf(c_975,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,[],[f11315]) ).
tcf(c_976,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,[],[f11316]) ).
tcf(c_977,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,[],[f11317]) ).
tcf(c_978,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,[],[f11318]) ).
tcf(c_979,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,sK171(X0,X1,X2)),k2_tarski(X3,X3)),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK170(X0,X1,X2),X3),k2_tarski(sK170(X0,X1,X2),sK170(X0,X1,X2))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK170(X0,X1,X2),sK171(X0,X1,X2)),k2_tarski(sK170(X0,X1,X2),sK170(X0,X1,X2))),X2) ),
inference(cnf_transformation,[],[f14706]) ).
tcf(c_980,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK170(X0,X1,X2),sK172(X0,X1,X2)),k2_tarski(sK170(X0,X1,X2),sK170(X0,X1,X2))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK170(X0,X1,X2),sK171(X0,X1,X2)),k2_tarski(sK170(X0,X1,X2),sK170(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,[],[f14707]) ).
tcf(c_981,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK172(X0,X1,X2),sK171(X0,X1,X2)),k2_tarski(sK172(X0,X1,X2),sK172(X0,X1,X2))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK170(X0,X1,X2),sK171(X0,X1,X2)),k2_tarski(sK170(X0,X1,X2),sK170(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,[],[f14708]) ).
tcf(c_982,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)
| ~ v1_relat_1(k5_relat_1(X2,X4))
| ~ 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(cnf_transformation,[],[f15440]) ).
tcf(c_983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK173(X2,X3,X0,X1)),k2_tarski(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_tarski(X0,X0)),k5_relat_1(X2,X3)) ),
inference(cnf_transformation,[],[f15441]) ).
tcf(c_984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK173(X2,X3,X0,X1),X1),k2_tarski(sK173(X2,X3,X0,X1),sK173(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_tarski(X0,X0)),k5_relat_1(X2,X3)) ),
inference(cnf_transformation,[],[f15442]) ).
tcf(c_985,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11326]) ).
tcf(c_986,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11325]) ).
tcf(c_987,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11328]) ).
tcf(c_988,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11327]) ).
tcf(c_989,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)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14713]) ).
tcf(c_990,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)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14714]) ).
tcf(c_991,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(X0,np__0,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,np__0,X2)
| ~ m2_relset_1(X0,np__0,X2)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f15444]) ).
tcf(c_992,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,np__0,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,np__0,X2)
| ~ m2_relset_1(X0,np__0,X2)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f15445]) ).
tcf(c_993,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k2_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14719]) ).
tcf(c_995,plain,
k2_relat_1(np__0) = np__0,
inference(cnf_transformation,[],[f14720]) ).
tcf(c_996,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,[],[f11340]) ).
tcf(c_997,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,[],[f11341]) ).
tcf(c_1002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_relat_1(X1) = X2 )
| ~ v1_relat_1(X1)
| ~ r2_hidden(sK174(X1,X2),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,sK174(X1,X2)),k2_tarski(X0,X0)),X1) ),
inference(cnf_transformation,[],[f14725]) ).
tcf(c_1003,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK174(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK175(X0,X1),sK174(X0,X1)),k2_tarski(sK175(X0,X1),sK175(X0,X1))),X0)
| ( k2_relat_1(X0) = X1 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14726]) ).
tcf(c_1004,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(cnf_transformation,[],[f15448]) ).
tcf(c_1005,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK176(X1,X0),X0),k2_tarski(sK176(X1,X0),sK176(X1,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f15449]) ).
tcf(c_1006,plain,
! [X0: $i] :
( v1_xboole_0(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11351]) ).
tcf(c_1007,plain,
! [X0: $i] :
( v1_relat_1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11350]) ).
tcf(c_1008,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f11352]) ).
tcf(c_1009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK177(X1,X2,X3),sK178(X1,X2,X3)),k2_tarski(sK177(X1,X2,X3),sK177(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f14729]) ).
tcf(c_1010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK178(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f11354]) ).
tcf(c_1011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK177(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f11353]) ).
tcf(c_1012,plain,
! [X0: $i] :
( r2_hidden(sK179(X0),X0)
| r1_tarski(X0,k2_zfmisc_1(sK180(X0),sK181(X0))) ),
inference(cnf_transformation,[],[f11357]) ).
tcf(c_1013,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,k2_zfmisc_1(sK180(X2),sK181(X2)))
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK179(X2) ) ),
inference(cnf_transformation,[],[f14730]) ).
tcf(c_1014,plain,
! [X0: $i] :
( r2_hidden(sK182(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14731]) ).
tcf(c_1015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ~ r2_hidden(X0,X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK182(X2) ) ),
inference(cnf_transformation,[],[f14732]) ).
tcf(c_1016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ~ r2_hidden(X1,X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK182(X2) ) ),
inference(cnf_transformation,[],[f14733]) ).
tcf(c_1017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(k2_tarski(k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0))),X1,X3)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14734]) ).
tcf(c_1018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK183(X1,X2,X3),sK184(X1,X2,X3)),k2_tarski(sK183(X1,X2,X3),sK183(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14735]) ).
tcf(c_1019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK183(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f11363]) ).
tcf(c_1020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK184(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f11362]) ).
tcf(c_1024,plain,
! [X0: $i] :
( sP9(X0)
| v1_relat_1(X0)
| r2_hidden(sK188(X0),X0) ),
inference(cnf_transformation,[],[f11371]) ).
tcf(c_1025,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP9(X2)
| v1_relat_1(X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK188(X2) ) ),
inference(cnf_transformation,[],[f14738]) ).
tcf(c_1026,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| r2_hidden(sK188(X0),X0) ),
inference(cnf_transformation,[],[f11369]) ).
tcf(c_1027,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP9(X2)
| v1_funct_1(X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK188(X2) ) ),
inference(cnf_transformation,[],[f14739]) ).
tcf(c_1028,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ( sK190(X0) != sK191(X0) ) ),
inference(cnf_transformation,[],[f11375]) ).
tcf(c_1029,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK189(X0),sK190(X0)),k2_tarski(sK189(X0),sK189(X0))),X0) ),
inference(cnf_transformation,[],[f14740]) ).
tcf(c_1030,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK189(X0),sK191(X0)),k2_tarski(sK189(X0),sK189(X0))),X0) ),
inference(cnf_transformation,[],[f14741]) ).
tcf(c_1031,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(cnf_transformation,[],[f14742]) ).
tcf(c_1032,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK192(X0),sK193(X0)),k2_tarski(sK192(X0),sK192(X0))),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14743]) ).
tcf(c_1033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_relat_1(X0) = X1 )
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK194(X0,X1),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK194(X0,X1),X2),k2_tarski(sK194(X0,X1),sK194(X0,X1))),X0) ),
inference(cnf_transformation,[],[f14744]) ).
tcf(c_1034,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK194(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK194(X0,X1),sK195(X0,X1)),k2_tarski(sK194(X0,X1),sK194(X0,X1))),X0)
| ( k1_relat_1(X0) = X1 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14745]) ).
tcf(c_1035,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(cnf_transformation,[],[f15450]) ).
tcf(c_1036,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK196(X1,X0)),k2_tarski(X0,X0)),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f15451]) ).
tcf(c_1037,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK197(X0,X1),sK198(X0,X1)),k2_tarski(sK197(X0,X1),sK197(X0,X1))),X1) ),
inference(cnf_transformation,[],[f14748]) ).
tcf(c_1038,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(k2_tarski(k2_tarski(sK197(X0,X1),sK198(X0,X1)),k2_tarski(sK197(X0,X1),sK197(X0,X1))),X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14749]) ).
tcf(c_1040,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK199(X0,X1),sK200(X0,X1)),k2_tarski(sK199(X0,X1),sK199(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK199(X0,X1),sK200(X0,X1)),k2_tarski(sK199(X0,X1),sK199(X0,X1))),X0) ),
inference(cnf_transformation,[],[f14751]) ).
tcf(c_1041,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK199(X0,X1),sK200(X0,X1)),k2_tarski(sK199(X0,X1),sK199(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK199(X0,X1),sK200(X0,X1)),k2_tarski(sK199(X0,X1),sK199(X0,X1))),X0)
| ( X0 = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14752]) ).
tcf(c_1044,plain,
! [X0: $i,X1: $i] : v1_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)))),
inference(cnf_transformation,[],[f14755]) ).
tcf(c_1045,plain,
! [X0: $i] :
( v1_relat_1(X0)
| r2_hidden(sK201(X0),X0) ),
inference(cnf_transformation,[],[f11391]) ).
tcf(c_1046,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK201(X2) ) ),
inference(cnf_transformation,[],[f14756]) ).
tcf(c_1047,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k2_tarski(sK202(X0),sK203(X0)),k2_tarski(sK202(X0),sK202(X0))) = X0 )
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14757]) ).
tcf(c_1048,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(cnf_transformation,[],[f15454]) ).
tcf(c_1050,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(cnf_transformation,[],[f14760]) ).
tcf(c_1051,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(cnf_transformation,[],[f15455]) ).
tcf(c_1052,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(cnf_transformation,[],[f14762]) ).
tcf(c_1054,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK205(X1),X1)
| r2_hidden(sK204(X0),X0)
| ( X0 = X1 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X0) ),
inference(cnf_transformation,[],[f14764]) ).
tcf(c_1055,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK205(X1),X1)
| r2_hidden(sK204(X0),X0)
| r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK207(X0,X1)),k2_tarski(sK206(X0,X1),sK206(X0,X1))),X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f14765]) ).
tcf(c_1056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK204(X3),X3)
| ( X2 = X3 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X3,X2),sK207(X3,X2)),k2_tarski(sK206(X3,X2),sK206(X3,X2))),X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X3,X2),sK207(X3,X2)),k2_tarski(sK206(X3,X2),sK206(X3,X2))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK205(X2) ) ),
inference(cnf_transformation,[],[f14766]) ).
tcf(c_1057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK204(X3),X3)
| r2_hidden(k2_tarski(k2_tarski(sK206(X3,X2),sK207(X3,X2)),k2_tarski(sK206(X3,X2),sK206(X3,X2))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK206(X3,X2),sK207(X3,X2)),k2_tarski(sK206(X3,X2),sK206(X3,X2))),X2)
| ( X2 = X3 )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK205(X2) ) ),
inference(cnf_transformation,[],[f14767]) ).
tcf(c_1058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK205(X3),X3)
| ( X2 = X3 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X2,X3),sK207(X2,X3)),k2_tarski(sK206(X2,X3),sK206(X2,X3))),X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X2,X3),sK207(X2,X3)),k2_tarski(sK206(X2,X3),sK206(X2,X3))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK204(X2) ) ),
inference(cnf_transformation,[],[f14768]) ).
tcf(c_1059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK205(X3),X3)
| r2_hidden(k2_tarski(k2_tarski(sK206(X2,X3),sK207(X2,X3)),k2_tarski(sK206(X2,X3),sK206(X2,X3))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK206(X2,X3),sK207(X2,X3)),k2_tarski(sK206(X2,X3),sK206(X2,X3))),X2)
| ( X2 = X3 )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK204(X2) ) ),
inference(cnf_transformation,[],[f14769]) ).
tcf(c_1060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X5 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X2,X5),sK207(X2,X5)),k2_tarski(sK206(X2,X5),sK206(X2,X5))),X5)
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X2,X5),sK207(X2,X5)),k2_tarski(sK206(X2,X5),sK206(X2,X5))),X2)
| ( k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)) != sK205(X5) )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK204(X2) ) ),
inference(cnf_transformation,[],[f14770]) ).
tcf(c_1061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK206(X2,X5),sK207(X2,X5)),k2_tarski(sK206(X2,X5),sK206(X2,X5))),X5)
| r2_hidden(k2_tarski(k2_tarski(sK206(X2,X5),sK207(X2,X5)),k2_tarski(sK206(X2,X5),sK206(X2,X5))),X2)
| ( X2 = X5 )
| ( k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)) != sK205(X5) )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK204(X2) ) ),
inference(cnf_transformation,[],[f14771]) ).
tcf(c_1062,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK208(X0),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK209(X0,X1),sK210(X0,X1)),k2_tarski(sK209(X0,X1),sK209(X0,X1))),X1) ),
inference(cnf_transformation,[],[f14772]) ).
tcf(c_1063,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK208(X0),X0)
| r2_hidden(k2_tarski(k2_tarski(sK209(X0,X1),sK210(X0,X1)),k2_tarski(sK209(X0,X1),sK209(X0,X1))),X0) ),
inference(cnf_transformation,[],[f14773]) ).
tcf(c_1064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK209(X2,X3),sK210(X2,X3)),k2_tarski(sK209(X2,X3),sK209(X2,X3))),X3)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK208(X2) ) ),
inference(cnf_transformation,[],[f14774]) ).
tcf(c_1065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| r2_hidden(k2_tarski(k2_tarski(sK209(X2,X3),sK210(X2,X3)),k2_tarski(sK209(X2,X3),sK209(X2,X3))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK208(X2) ) ),
inference(cnf_transformation,[],[f14775]) ).
tcf(c_1066,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(sK211(X0,X1),sK212(X0,X1)),k2_tarski(sK211(X0,X1),sK211(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK211(X0,X1),sK212(X0,X1)),k2_tarski(sK211(X0,X1),sK211(X0,X1))),X0) ),
inference(cnf_transformation,[],[f14776]) ).
tcf(c_1067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK211(X0,X3),sK212(X0,X3)),k2_tarski(sK211(X0,X3),sK211(X0,X3))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK211(X0,X3),sK212(X0,X3)),k2_tarski(sK211(X0,X3),sK211(X0,X3))),X0)
| ( X0 = X3 )
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f14777]) ).
tcf(c_1068,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(sK213(X0,X1),sK214(X0,X1)),k2_tarski(sK213(X0,X1),sK213(X0,X1))),X1) ),
inference(cnf_transformation,[],[f14778]) ).
tcf(c_1069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X3)
| r2_hidden(k2_tarski(k2_tarski(sK213(X0,X3),sK214(X0,X3)),k2_tarski(sK213(X0,X3),sK213(X0,X3))),X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f14779]) ).
tcf(c_1070,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(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3)),k2_tarski(sK215(X0,X1,X2,X3),sK215(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3)),k2_tarski(sK215(X0,X1,X2,X3),sK215(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f14780]) ).
tcf(c_1071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3)),k2_tarski(sK215(X0,X1,X2,X3),sK215(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| r2_hidden(k2_tarski(k2_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3)),k2_tarski(sK215(X0,X1,X2,X3),sK215(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1))
| ( k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ) ),
inference(cnf_transformation,[],[f14781]) ).
tcf(c_1072,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(cnf_transformation,[],[f14782]) ).
tcf(c_1074,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(cnf_transformation,[],[f14784]) ).
tcf(c_1075,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(cnf_transformation,[],[f14785]) ).
tcf(c_1076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK217(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f11422]) ).
tcf(c_1077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK218(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f11421]) ).
tcf(c_1078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK217(X1,X2,X3),sK218(X1,X2,X3)),k2_tarski(sK217(X1,X2,X3),sK217(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f14786]) ).
tcf(c_1079,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK219(X0),sK220(X0)),k2_tarski(sK219(X0),sK219(X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f14787]) ).
tcf(c_1081,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(cnf_transformation,[],[f15457]) ).
tcf(c_1084,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(cnf_transformation,[],[f14792]) ).
tcf(c_1085,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(cnf_transformation,[],[f14793]) ).
tcf(c_1086,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(sK221(X2,X3,X4),X4)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK221(X2,X3,X4) ) ),
inference(cnf_transformation,[],[f14794]) ).
tcf(c_1087,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK222(X0,X1,X2),X0)
| r2_hidden(sK221(X0,X1,X2),X2)
| ( k2_zfmisc_1(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f11436]) ).
tcf(c_1088,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK223(X0,X1,X2),X1)
| r2_hidden(sK221(X0,X1,X2),X2)
| ( k2_zfmisc_1(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f11435]) ).
tcf(c_1089,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK221(X0,X1,X2),X2)
| ( k2_zfmisc_1(X0,X1) = X2 )
| ( k2_tarski(k2_tarski(sK222(X0,X1,X2),sK223(X0,X1,X2)),k2_tarski(sK222(X0,X1,X2),sK222(X0,X1,X2))) = sK221(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f14795]) ).
tcf(c_1090,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(cnf_transformation,[],[f15459]) ).
tcf(c_1091,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK224(X1,X2,X0),X1)
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f15460]) ).
tcf(c_1092,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK225(X1,X2,X0),X2)
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f15461]) ).
tcf(c_1093,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK224(X1,X2,X0),sK225(X1,X2,X0)),k2_tarski(sK224(X1,X2,X0),sK224(X1,X2,X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f15462]) ).
tcf(c_1095,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(cnf_transformation,[],[f14799]) ).
tcf(c_1096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X3,X1,k2_tarski(X2,X2))
| ~ v1_funct_2(X0,X1,k2_tarski(X2,X2))
| ~ m2_relset_1(X3,X1,k2_tarski(X2,X2))
| ~ m2_relset_1(X0,X1,k2_tarski(X2,X2)) ),
inference(cnf_transformation,[],[f14800]) ).
tcf(c_1097,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_tarski(X0,X0),k1_zfmisc_1(X1))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14801]) ).
tcf(c_1098,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(cnf_transformation,[],[f14802]) ).
tcf(c_1100,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k2_zfmisc_1(k2_tarski(X0,X0),X1) != np__0 ) ),
inference(cnf_transformation,[],[f14804]) ).
tcf(c_1101,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_zfmisc_1(X0,k2_tarski(X1,X1)) != np__0 ) ),
inference(cnf_transformation,[],[f14805]) ).
tcf(c_1102,plain,
! [X0: $i] : r1_tarski(k2_tarski(X0,X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f14806]) ).
tcf(c_1103,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK226(X1,X0),X1)
| ( X1 = np__0 )
| ( k2_tarski(X0,X0) = X1 ) ),
inference(cnf_transformation,[],[f14807]) ).
tcf(c_1104,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X1,X1) = X0 )
| ( sK226(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f14808]) ).
tcf(c_1107,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X1,X1) = X0 )
| ~ r1_tarski(X0,k2_tarski(X1,X1)) ),
inference(cnf_transformation,[],[f14811]) ).
tcf(c_1108,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tarski(X0,X0),X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14812]) ).
tcf(c_1112,plain,
k2_tarski(np__0,np__0) = k1_zfmisc_1(np__0),
inference(cnf_transformation,[],[f14816]) ).
tcf(c_1113,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(X0,X0) = X1 )
| ~ r2_hidden(sK227(X0,X1),X1)
| ( sK227(X0,X1) != X0 ) ),
inference(cnf_transformation,[],[f14817]) ).
tcf(c_1114,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK227(X0,X1),X1)
| ( sK227(X0,X1) = X0 )
| ( k2_tarski(X0,X0) = X1 ) ),
inference(cnf_transformation,[],[f14818]) ).
tcf(c_1116,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r2_hidden(X0,k2_tarski(X1,X1)) ),
inference(cnf_transformation,[],[f15467]) ).
tcf(c_1117,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK228(X1,X0))
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f11464]) ).
tcf(c_1118,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(sK228(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f11463]) ).
tcf(c_1119,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK228(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f11462]) ).
tcf(c_1120,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(sK228(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(cnf_transformation,[],[f14821]) ).
tcf(c_1121,plain,
~ v1_xboole_0(sK229),
inference(cnf_transformation,[],[f11466]) ).
tcf(c_1122,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,sK229)
| ~ v1_xboole_0(k4_xboole_0(sK229,k2_tarski(X0,X0))) ),
inference(cnf_transformation,[],[f14822]) ).
tcf(c_1123,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,[],[f11467]) ).
tcf(c_1124,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11468]) ).
tcf(c_1126,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,[],[f11471]) ).
tcf(c_1127,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,[],[f11470]) ).
tcf(c_1129,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k2_tarski(X0,X0),X1) = np__0 )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14824]) ).
tcf(c_1133,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X1,X1) = X0 )
| ( k4_xboole_0(X0,k2_tarski(X1,X1)) != np__0 ) ),
inference(cnf_transformation,[],[f14828]) ).
tcf(c_1134,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| ( k4_xboole_0(X0,k2_tarski(X1,X1)) = X0 ) ),
inference(cnf_transformation,[],[f14829]) ).
tcf(c_1135,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ( k4_xboole_0(X0,k2_tarski(X1,X1)) != X0 ) ),
inference(cnf_transformation,[],[f14830]) ).
tcf(c_1136,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(cnf_transformation,[],[f14831]) ).
tcf(c_1138,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(X0,k4_xboole_0(X1,k2_tarski(X0,X0))),
inference(cnf_transformation,[],[f15468]) ).
tcf(c_1139,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(cnf_transformation,[],[f14834]) ).
tcf(c_1140,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) != np__0 ) ),
inference(cnf_transformation,[],[f14835]) ).
tcf(c_1141,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) = k2_tarski(X0,X0) ) ),
inference(cnf_transformation,[],[f14836]) ).
tcf(c_1142,plain,
! [X0: $i] : k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X0)) != k2_tarski(X0,X0),
inference(cnf_transformation,[],[f15469]) ).
tcf(c_1143,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11487]) ).
tcf(c_1144,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ r1_tarski(X0,k4_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f14838]) ).
tcf(c_1145,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14839]) ).
tcf(c_1146,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k4_xboole_0(X0,X1) != np__0 ) ),
inference(cnf_transformation,[],[f14840]) ).
tcf(c_1147,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f11491]) ).
tcf(c_1148,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,[],[f11492]) ).
tcf(c_1149,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,[],[f11493]) ).
tcf(c_1150,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,[],[f11494]) ).
tcf(c_1151,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(X0,X1) != k4_xboole_0(X1,X0) ) ),
inference(cnf_transformation,[],[f11495]) ).
tcf(c_1152,plain,
! [X0: $i] : k4_xboole_0(np__0,X0) = np__0,
inference(cnf_transformation,[],[f14841]) ).
tcf(c_1153,plain,
! [X0: $i] : k4_xboole_0(X0,np__0) = X0,
inference(cnf_transformation,[],[f14842]) ).
tcf(c_1154,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK230(X0,X1,X2),X1)
| ( k4_xboole_0(X0,X1) = X2 )
| ~ r2_hidden(sK230(X0,X1,X2),X2)
| ~ r2_hidden(sK230(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f11503]) ).
tcf(c_1155,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK230(X0,X1,X2),X2)
| r2_hidden(sK230(X0,X1,X2),X0)
| ( k4_xboole_0(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f11502]) ).
tcf(c_1156,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK230(X0,X1,X2),X2)
| ( k4_xboole_0(X0,X1) = X2 )
| ~ r2_hidden(sK230(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f11501]) ).
tcf(c_1157,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,[],[f15470]) ).
tcf(c_1158,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X1)
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f15471]) ).
tcf(c_1159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f15472]) ).
tcf(c_1160,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,[],[f11504]) ).
tcf(c_1161,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| ~ v4_membered(sK231(X0)) ),
inference(cnf_transformation,[],[f11506]) ).
tcf(c_1162,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| r2_hidden(sK231(X0),X0) ),
inference(cnf_transformation,[],[f11505]) ).
tcf(c_1163,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| ~ v3_membered(sK232(X0)) ),
inference(cnf_transformation,[],[f11508]) ).
tcf(c_1164,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| r2_hidden(sK232(X0),X0) ),
inference(cnf_transformation,[],[f11507]) ).
tcf(c_1165,plain,
! [X0: $i] :
( v2_membered(k3_tarski(X0))
| ~ v2_membered(sK233(X0)) ),
inference(cnf_transformation,[],[f11510]) ).
tcf(c_1166,plain,
! [X0: $i] :
( v2_membered(k3_tarski(X0))
| r2_hidden(sK233(X0),X0) ),
inference(cnf_transformation,[],[f11509]) ).
tcf(c_1167,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| ~ v1_membered(sK234(X0)) ),
inference(cnf_transformation,[],[f11512]) ).
tcf(c_1168,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| r2_hidden(sK234(X0),X0) ),
inference(cnf_transformation,[],[f11511]) ).
tcf(c_1169,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f11516]) ).
tcf(c_1170,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k3_tarski(X1))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11515]) ).
tcf(c_1171,plain,
! [X0: $i] :
( v1_finset_1(k3_tarski(X0))
| ~ v1_finset_1(X0)
| ~ v1_finset_1(sK235(X0)) ),
inference(cnf_transformation,[],[f11514]) ).
tcf(c_1172,plain,
! [X0: $i] :
( v1_finset_1(k3_tarski(X0))
| r2_hidden(sK235(X0),X0)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11513]) ).
tcf(c_1173,plain,
! [X0: $i] :
( ( k3_tarski(k2_xboole_0(X0,k2_tarski(X0,X0))) = X0 )
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f14843]) ).
tcf(c_1174,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| ~ v3_ordinal1(sK236(X0)) ),
inference(cnf_transformation,[],[f11519]) ).
tcf(c_1175,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| r2_hidden(sK236(X0),X0) ),
inference(cnf_transformation,[],[f11518]) ).
tcf(c_1176,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f11520]) ).
tcf(c_1177,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k3_tarski(X1))
| ~ r1_xboole_0(sK237(X2,X0),X0)
| ~ r1_tarski(X0,k3_tarski(k2_xboole_0(X1,X2))) ),
inference(cnf_transformation,[],[f11522]) ).
tcf(c_1178,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k3_tarski(X1))
| r2_hidden(sK237(X2,X0),X2)
| ~ r1_tarski(X0,k3_tarski(k2_xboole_0(X1,X2))) ),
inference(cnf_transformation,[],[f11521]) ).
tcf(c_1179,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X1)
| ~ r2_hidden(X2,X0)
| ~ r1_tarski(k3_tarski(X0),X1) ),
inference(cnf_transformation,[],[f11523]) ).
tcf(c_1180,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))) )
| ( sK238(X0,X1) != sK239(X0,X1) ) ),
inference(cnf_transformation,[],[f14844]) ).
tcf(c_1181,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(sK238(X0,X1),sK239(X0,X1)) ),
inference(cnf_transformation,[],[f14845]) ).
tcf(c_1182,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK238(X0,X1),k2_xboole_0(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,[],[f14846]) ).
tcf(c_1183,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK239(X0,X1),k2_xboole_0(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,[],[f14847]) ).
tcf(c_1184,plain,
! [X0: $i] : r1_tarski(X0,k1_zfmisc_1(k3_tarski(X0))),
inference(cnf_transformation,[],[f11528]) ).
tcf(c_1185,plain,
! [X0: $i] : k3_tarski(k1_zfmisc_1(X0)) = X0,
inference(cnf_transformation,[],[f11529]) ).
tcf(c_1186,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(X0),X1)
| ~ r1_xboole_0(sK240(X0,X1),X1) ),
inference(cnf_transformation,[],[f11531]) ).
tcf(c_1187,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(X0),X1)
| r2_hidden(sK240(X0,X1),X0) ),
inference(cnf_transformation,[],[f11530]) ).
tcf(c_1188,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,[],[f14848]) ).
tcf(c_1189,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k3_tarski(X0),k3_tarski(X1)) = k3_tarski(k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f11533]) ).
tcf(c_1190,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),k3_tarski(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11534]) ).
tcf(c_1191,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),X1)
| ~ r1_tarski(sK241(X0,X1),X1) ),
inference(cnf_transformation,[],[f11536]) ).
tcf(c_1192,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),X1)
| r2_hidden(sK241(X0,X1),X0) ),
inference(cnf_transformation,[],[f11535]) ).
tcf(c_1193,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k3_tarski(X1))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11538]) ).
tcf(c_1196,plain,
k3_tarski(np__0) = np__0,
inference(cnf_transformation,[],[f14851]) ).
tcf(c_1197,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(X0) = X1 )
| ~ r2_hidden(X2,X0)
| ~ r2_hidden(sK242(X0,X1),X2)
| ~ r2_hidden(sK242(X0,X1),X1) ),
inference(cnf_transformation,[],[f11547]) ).
tcf(c_1198,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK242(X0,X1),X1)
| r2_hidden(sK242(X0,X1),sK243(X0,X1))
| ( k3_tarski(X0) = X1 ) ),
inference(cnf_transformation,[],[f11546]) ).
tcf(c_1199,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK243(X0,X1),X0)
| r2_hidden(sK242(X0,X1),X1)
| ( k3_tarski(X0) = X1 ) ),
inference(cnf_transformation,[],[f11545]) ).
tcf(c_1200,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k3_tarski(X2))
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15473]) ).
tcf(c_1201,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,sK244(X1,X0))
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(cnf_transformation,[],[f15474]) ).
tcf(c_1202,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK244(X1,X0),X1)
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(cnf_transformation,[],[f15475]) ).
tcf(c_1203,plain,
! [X0: $i] : m1_eqrel_1(sK245(X0),X0),
inference(cnf_transformation,[],[f11548]) ).
tcf(c_1204,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_eqrel_1(X0,X1) ),
inference(cnf_transformation,[],[f11549]) ).
tcf(c_1205,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ m1_eqrel_1(X0,X1) ),
inference(cnf_transformation,[],[f11550]) ).
tcf(c_1206,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_0(sK246(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11551]) ).
tcf(c_1207,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(X0)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f11553]) ).
tcf(c_1208,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,[],[f11552]) ).
tcf(c_1209,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_0(u1_struct_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11554]) ).
tcf(c_1210,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK247(X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f11556]) ).
tcf(c_1211,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r2_hidden(sK247(X1,X0),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f11555]) ).
tcf(c_1212,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,[],[f11557]) ).
tcf(c_1213,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,[],[f11558]) ).
tcf(c_1214,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,[],[f11560]) ).
tcf(c_1215,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,[],[f11559]) ).
tcf(c_1216,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,[],[f11562]) ).
tcf(c_1217,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,[],[f11561]) ).
tcf(c_1218,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,[],[f11563]) ).
tcf(c_1219,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,[],[f15476]) ).
tcf(c_1220,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,[],[f14852]) ).
tcf(c_1221,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,[],[f15477]) ).
tcf(c_1222,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,[],[f11567]) ).
tcf(c_1223,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,[],[f11568]) ).
tcf(c_1224,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,[],[f11569]) ).
tcf(c_1225,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,[],[f11570]) ).
tcf(c_1226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_subset_1(X1,k3_subset_1(X1,X0),X2) = k3_subset_1(X1,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,[],[f11571]) ).
tcf(c_1227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK248(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(sK248(X0,X1,X2,X3),X2)
| ~ r2_hidden(sK248(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f11575]) ).
tcf(c_1228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK248(X1,X0,X2,X3),X2)
| r2_hidden(sK248(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,[],[f11574]) ).
tcf(c_1229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK248(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(sK248(X0,X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f11573]) ).
tcf(c_1230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK248(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,[],[f11572]) ).
tcf(c_1231,plain,
! [X0: $i] :
( m1_subset_1(k2_finseq_1(X0),k1_zfmisc_1(k5_numbers))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11576]) ).
tcf(c_1232,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,[],[f11578]) ).
tcf(c_1233,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,[],[f11577]) ).
tcf(c_1234,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,[],[f11579]) ).
tcf(c_1235,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m2_finseq_1(sK249(X0,X1),X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11581]) ).
tcf(c_1236,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ( k3_finseq_1(sK249(X0,X1)) = X0 )
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11580]) ).
tcf(c_1237,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,[],[f11582]) ).
tcf(c_1238,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_finseq_1(X0)
| ~ v4_ordinal2(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11585]) ).
tcf(c_1239,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_finseq_1(X0)
| ~ v4_ordinal2(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11584]) ).
tcf(c_1240,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_finseq_1(X0)
| ~ v4_ordinal2(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11583]) ).
tcf(c_1241,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(cnf_transformation,[],[f14854]) ).
tcf(c_1242,plain,
! [X0: $i] :
( ( k2_xboole_0(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(cnf_transformation,[],[f14855]) ).
tcf(c_1243,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ( k2_finseq_1(X0) != k2_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f11588]) ).
tcf(c_1244,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,[],[f11590]) ).
tcf(c_1245,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,[],[f11589]) ).
tcf(c_1246,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,[],[f11591]) ).
tcf(c_1247,plain,
! [X0: $i] :
( r2_hidden(X0,k2_finseq_1(X0))
| ( X0 = np__0 )
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11592]) ).
tcf(c_1248,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,[],[f11595]) ).
tcf(c_1249,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,[],[f11594]) ).
tcf(c_1250,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,[],[f11593]) ).
tcf(c_1251,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK250(X0,X1),X0)
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11599]) ).
tcf(c_1252,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK250(X0,X1),X1)
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11598]) ).
tcf(c_1253,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v4_ordinal2(sK250(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11597]) ).
tcf(c_1255,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v5_membered(X1)
| ~ v5_membered(X0)
| ~ r2_hidden(sK251(X0,X1),X1)
| ~ r2_hidden(sK251(X0,X1),X0) ),
inference(cnf_transformation,[],[f11604]) ).
tcf(c_1256,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK251(X0,X1),X1)
| r2_hidden(sK251(X0,X1),X0)
| ( X0 = X1 )
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11603]) ).
tcf(c_1257,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(sK251(X0,X1))
| ( X0 = X1 )
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11602]) ).
tcf(c_1260,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v5_membered(X1)
| ~ v5_membered(X0)
| ~ r2_hidden(sK252(X0,X1),X1) ),
inference(cnf_transformation,[],[f11608]) ).
tcf(c_1261,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK252(X0,X1),X0)
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11607]) ).
tcf(c_1262,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v4_ordinal2(sK252(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11606]) ).
tcf(c_1263,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X1)
| ~ v5_membered(X1)
| ~ v5_membered(X0)
| ~ v4_ordinal2(X2)
| ~ r2_hidden(X2,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11605]) ).
tcf(c_1264,plain,
! [X0: $i] :
( ( X0 = k5_numbers )
| ~ v5_membered(X0)
| ~ r2_hidden(sK253(X0),X0) ),
inference(cnf_transformation,[],[f11610]) ).
tcf(c_1265,plain,
! [X0: $i] :
( v4_ordinal2(sK253(X0))
| ( X0 = k5_numbers )
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11609]) ).
tcf(c_1266,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK254(X0))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11612]) ).
tcf(c_1267,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK254(X0),X0)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11611]) ).
tcf(c_1268,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v4_ordinal2(sK255(X0)) ),
inference(cnf_transformation,[],[f11615]) ).
tcf(c_1269,plain,
! [X0: $i] :
( v5_membered(X0)
| r2_hidden(sK255(X0),X0) ),
inference(cnf_transformation,[],[f11614]) ).
tcf(c_1270,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11613]) ).
tcf(c_1271,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,[],[f14856]) ).
tcf(c_1272,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,[],[f14857]) ).
tcf(c_1273,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,[],[f14858]) ).
tcf(c_1274,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,[],[f14859]) ).
tcf(c_1275,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,[],[f14860]) ).
tcf(c_1276,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X1))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11625]) ).
tcf(c_1277,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X1))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11624]) ).
tcf(c_1278,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X0,X1))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11623]) ).
tcf(c_1279,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_tarski(X0,X1))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11622]) ).
tcf(c_1280,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_tarski(X0,X1))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11621]) ).
tcf(c_1281,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f14861]) ).
tcf(c_1282,plain,
! [X0: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f14862]) ).
tcf(c_1283,plain,
! [X0: $i] :
( v3_membered(k2_tarski(X0,X0))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f14863]) ).
tcf(c_1284,plain,
! [X0: $i] :
( v4_membered(k2_tarski(X0,X0))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f14864]) ).
tcf(c_1285,plain,
! [X0: $i] :
( v5_membered(k2_tarski(X0,X0))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f14865]) ).
tcf(c_1286,plain,
! [X0: $i] :
( v1_int_1(X0)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11631]) ).
tcf(c_1287,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11632]) ).
tcf(c_1288,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11633]) ).
tcf(c_1289,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k3_finseq_1(X0) != k3_finseq_1(X1) )
| ( k1_funct_1(X0,sK256(X0,X1)) != k1_funct_1(X1,sK256(X0,X1)) ) ),
inference(cnf_transformation,[],[f11637]) ).
tcf(c_1290,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(np__1,sK256(X0,X1))
| ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f11636]) ).
tcf(c_1291,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(sK256(X0,X1),k3_finseq_1(X0))
| ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f11635]) ).
tcf(c_1292,plain,
! [X0: $i,X1: $i] :
( m2_subset_1(sK256(X0,X1),k1_numbers,k5_numbers)
| ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f11634]) ).
tcf(c_1293,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,[],[f11639]) ).
tcf(c_1294,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,[],[f11638]) ).
tcf(c_1295,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,[],[f11641]) ).
tcf(c_1296,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,[],[f11640]) ).
tcf(c_1297,plain,
! [X0: $i] :
( r2_hidden(X0,k5_numbers)
| ~ v1_int_1(X0)
| ~ r1_xreal_0(np__0,X0) ),
inference(cnf_transformation,[],[f11642]) ).
tcf(c_1298,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,[],[f11643]) ).
tcf(c_1299,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X0,X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f11644]) ).
tcf(c_1300,plain,
m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)),
inference(cnf_transformation,[],[f11645]) ).
tcf(c_1301,plain,
k5_numbers != k1_numbers,
inference(cnf_transformation,[],[f11646]) ).
tcf(c_1302,plain,
r1_tarski(k5_numbers,k1_numbers),
inference(cnf_transformation,[],[f11647]) ).
tcf(c_1303,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,[],[f15480]) ).
tcf(c_1304,plain,
! [X0: $i] :
( r2_wellord2(X0,k2_finseq_1(sK257(X0)))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11650]) ).
tcf(c_1305,plain,
! [X0: $i] :
( m2_subset_1(sK257(X0),k1_numbers,k5_numbers)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11649]) ).
tcf(c_1306,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,[],[f11651]) ).
tcf(c_1307,plain,
! [X0: $i] :
( r2_wellord2(k2_finseq_1(X0),X0)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f11652]) ).
tcf(c_1308,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,[],[f11653]) ).
tcf(c_1313,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_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ sP10(X0,X1,X2)
| ( k1_funct_1(X0,sK259(X0,X1)) != k1_funct_1(X1,sK259(X0,X1)) )
| ( k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X2))) != k4_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f11663]) ).
tcf(c_1314,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK259(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_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ sP10(X0,X2,X1)
| ( k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) != k4_finseq_1(X2) ) ),
inference(cnf_transformation,[],[f11662]) ).
tcf(c_1315,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_subset_1(sK259(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_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ sP10(X0,X2,X1)
| ( k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) != k4_finseq_1(X2) ) ),
inference(cnf_transformation,[],[f11661]) ).
tcf(c_1316,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ 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(cnf_transformation,[],[f15481]) ).
tcf(c_1317,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_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v1_finseq_1(k7_finseq_1(X1,X2))
| ~ v1_funct_1(k7_finseq_1(X1,X2))
| ~ v1_relat_1(k7_finseq_1(X1,X2))
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f15482]) ).
tcf(c_1318,plain,
! [X0: $i,X1: $i] :
( sP10(X0,k7_finseq_1(X0,X1),X1)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ 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(cnf_transformation,[],[f15483]) ).
tcf(c_1319,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_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_xreal_0(X1,k3_finseq_1(X0))
| ~ v1_finseq_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_funct_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_relat_1(k7_relat_1(X0,k2_finseq_1(X1))) ),
inference(cnf_transformation,[],[f15484]) ).
tcf(c_1320,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_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_xreal_0(X1,k3_finseq_1(X0))
| ~ v1_finseq_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_funct_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_relat_1(k7_relat_1(X0,k2_finseq_1(X1))) ),
inference(cnf_transformation,[],[f15485]) ).
tcf(c_1321,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK260(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f11669]) ).
tcf(c_1322,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK260(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f11668]) ).
tcf(c_1323,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK260(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f11667]) ).
tcf(c_1324,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(sK260(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f11666]) ).
tcf(c_1325,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(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) ) ),
inference(cnf_transformation,[],[f11671]) ).
tcf(c_1326,plain,
! [X0: $i] :
( ( k2_finseq_1(k3_finseq_1(X0)) = k1_relat_1(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,[],[f15486]) ).
tcf(c_1327,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,[],[f11674]) ).
tcf(c_1328,plain,
! [X0: $i] :
( m2_subset_1(sK261(X0),k1_numbers,k5_numbers)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11673]) ).
tcf(c_1329,plain,
! [X0: $i] :
( ( k2_finseq_1(sK261(X0)) = k1_relat_1(X0) )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11672]) ).
tcf(c_1330,plain,
! [X0: $i] :
( v14_lattices(X0)
| v3_struct_0(X0)
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11675]) ).
tcf(c_1331,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,[],[f11676]) ).
tcf(c_1332,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,[],[f11677]) ).
tcf(c_1334,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,[],[f11679]) ).
tcf(c_1336,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,[],[f11681]) ).
tcf(c_1337,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,sK262(X0,X1)) != sK262(X0,X1) ) ),
inference(cnf_transformation,[],[f11683]) ).
tcf(c_1338,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK262(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,[],[f11682]) ).
tcf(c_1339,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0) ),
inference(cnf_transformation,[],[f11688]) ).
tcf(c_1342,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,[],[f11685]) ).
tcf(c_1343,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,[],[f11684]) ).
tcf(c_1344,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f11693]) ).
tcf(c_1347,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f11690]) ).
tcf(c_1348,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))
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f11689]) ).
tcf(c_1349,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f11696]) ).
tcf(c_1350,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,[],[f11695]) ).
tcf(c_1351,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,[],[f11694]) ).
tcf(c_1352,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,[],[f11697]) ).
tcf(c_1353,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,[],[f11698]) ).
tcf(c_1354,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,[],[f11699]) ).
tcf(c_1355,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,[],[f11700]) ).
tcf(c_1356,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,sK263(X0,X1)) != sK263(X0,X1) ) ),
inference(cnf_transformation,[],[f11702]) ).
tcf(c_1357,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK263(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,[],[f11701]) ).
tcf(c_1359,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,[],[f11703]) ).
tcf(c_1360,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,[],[f11705]) ).
tcf(c_1361,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,[],[f11708]) ).
tcf(c_1362,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,[],[f11707]) ).
tcf(c_1363,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,[],[f11706]) ).
tcf(c_1364,plain,
! [X0: $i,X1: $i] :
( sP11(X0,X1)
| v3_struct_0(k8_filter_1(X0,X1))
| ~ sP12(X1,X0)
| ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1))
| ~ v17_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f11713]) ).
tcf(c_1365,plain,
! [X0: $i,X1: $i] :
( ~ sP12(X1,X0)
| ~ sP11(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f11712]) ).
tcf(c_1366,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP12(X1,X0)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f11711]) ).
tcf(c_1367,plain,
! [X0: $i,X1: $i] :
( v17_lattices(k8_filter_1(X0,X1))
| ~ sP12(X1,X0)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f11710]) ).
tcf(c_1368,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP12(X1,X0)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f11709]) ).
tcf(c_1378,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP12(X1,X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11723]) ).
tcf(c_1379,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,[],[f11726]) ).
tcf(c_1380,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,[],[f11725]) ).
tcf(c_1381,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,[],[f11724]) ).
tcf(c_1382,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,[],[f11729]) ).
tcf(c_1383,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,[],[f11728]) ).
tcf(c_1384,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,[],[f11727]) ).
tcf(c_1385,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,[],[f11732]) ).
tcf(c_1386,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,[],[f11731]) ).
tcf(c_1387,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,[],[f11730]) ).
tcf(c_1388,plain,
! [X0: $i,X1: $i] :
( sP13(X0,X1)
| v3_struct_0(k8_filter_1(X0,X1))
| ~ sP14(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,[],[f11737]) ).
tcf(c_1389,plain,
! [X0: $i,X1: $i] :
( ~ sP14(X1,X0)
| ~ sP13(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f11736]) ).
tcf(c_1390,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP14(X1,X0)
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f11735]) ).
tcf(c_1391,plain,
! [X0: $i,X1: $i] :
( v11_lattices(k8_filter_1(X0,X1))
| ~ sP14(X1,X0)
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f11734]) ).
tcf(c_1392,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP14(X1,X0)
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f11733]) ).
tcf(c_1402,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP14(X1,X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11747]) ).
tcf(c_1403,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,[],[f11752]) ).
tcf(c_1404,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,[],[f11749]) ).
tcf(c_1414,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP15(X1,X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11763]) ).
tcf(c_1415,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,[],[f11765]) ).
tcf(c_1416,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,[],[f11764]) ).
tcf(c_1417,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,[],[f11766]) ).
tcf(c_1418,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,[],[f11769]) ).
tcf(c_1419,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,[],[f11768]) ).
tcf(c_1420,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,[],[f11767]) ).
tcf(c_1421,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)
| ~ 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)
| ~ 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)
| ~ 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,[],[f11772]) ).
tcf(c_1422,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)
| ~ 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)
| ~ 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)
| ~ 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,[],[f11771]) ).
tcf(c_1423,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,X5),k7_filter_1(X1,X4,X2,X3))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ r6_binop_1(X4,X5,X3)
| ~ r6_binop_1(X1,X0,X2)
| ~ 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)
| ~ 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) ),
inference(cnf_transformation,[],[f11770]) ).
tcf(c_1424,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)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(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,[],[f11775]) ).
tcf(c_1425,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)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(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,[],[f11774]) ).
tcf(c_1426,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(X3,X1),k1_domain_1(X3,X1,X4,X5),k7_filter_1(X3,X1,X2,X0))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X3)
| ~ r3_binop_1(X3,X4,X2)
| ~ r3_binop_1(X1,X5,X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11773]) ).
tcf(c_1427,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)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,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)
| ~ v2_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f11778]) ).
tcf(c_1428,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)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,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)
| ~ v2_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f11777]) ).
tcf(c_1429,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)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11776]) ).
tcf(c_1430,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)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,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_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f11781]) ).
tcf(c_1431,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)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,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_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f11780]) ).
tcf(c_1432,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)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11779]) ).
tcf(c_1433,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(X1,X3),k2_zfmisc_1(X1,X3),k2_zfmisc_1(X1,X3),k7_filter_1(X1,X3,X0,X2),k1_domain_1(X1,X3,X4,X7),k1_domain_1(X1,X3,X5,X6)) = k1_domain_1(X1,X3,k2_binop_1(X1,X1,X1,X0,X4,X5),k2_binop_1(X3,X3,X3,X2,X7,X6)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X7,X3)
| ~ m1_subset_1(X6,X3)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11782]) ).
tcf(c_1434,plain,
! [X0: $i,X1: $i] :
( v3_relat_2(sK264(X1,X0))
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11788]) ).
tcf(c_1435,plain,
! [X0: $i,X1: $i] :
( v8_relat_2(sK264(X1,X0))
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11787]) ).
tcf(c_1436,plain,
! [X0: $i,X1: $i] :
( v1_partfun1(sK264(X1,X0),X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11786]) ).
tcf(c_1437,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK264(X1,X0),X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11785]) ).
tcf(c_1438,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK264(X1,X0))
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11784]) ).
tcf(c_1439,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK264(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,[],[f11783]) ).
tcf(c_1440,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(cnf_transformation,[],[f14866]) ).
tcf(c_1441,plain,
! [X0: $i,X1: $i] :
( v3_relat_2(k2_xboole_0(X0,X1))
| ~ v3_relat_2(X1)
| ~ v3_relat_2(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11792]) ).
tcf(c_1442,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,[],[f14867]) ).
tcf(c_1443,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,[],[f11790]) ).
tcf(c_1446,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(cnf_transformation,[],[f14870]) ).
tcf(c_1447,plain,
! [X0: $i] :
( v8_relat_2(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k5_relat_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f11797]) ).
tcf(c_1448,plain,
! [X0: $i] :
( r1_tarski(k5_relat_1(X0,X0),X0)
| ~ v8_relat_2(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11796]) ).
tcf(c_1449,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,[],[f14871]) ).
tcf(c_1450,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_partfun1(X0,X1,X2)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f15723]) ).
tcf(c_1453,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,[],[f11806]) ).
tcf(c_1455,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,[],[f11809]) ).
tcf(c_1456,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,[],[f11811]) ).
tcf(c_1457,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,[],[f14874]) ).
tcf(c_1458,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,[],[f15488]) ).
tcf(c_1459,plain,
! [X0: $i] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11816]) ).
tcf(c_1460,plain,
! [X0: $i] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11815]) ).
tcf(c_1461,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k1_lattice2(k1_lattice2(X0)) = X0 )
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11817]) ).
tcf(c_1471,plain,
! [X0: $i] :
( sP16(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11827]) ).
tcf(c_1472,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f11829]) ).
tcf(c_1483,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| sP17(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f11839]) ).
tcf(c_1484,plain,
l3_lattices(sK265),
inference(cnf_transformation,[],[f11850]) ).
tcf(c_1485,plain,
~ v3_struct_0(sK265),
inference(cnf_transformation,[],[f11849]) ).
tcf(c_1486,plain,
v3_lattices(sK265),
inference(cnf_transformation,[],[f11848]) ).
tcf(c_1487,plain,
v4_lattices(sK265),
inference(cnf_transformation,[],[f11847]) ).
tcf(c_1488,plain,
v5_lattices(sK265),
inference(cnf_transformation,[],[f11846]) ).
tcf(c_1489,plain,
v6_lattices(sK265),
inference(cnf_transformation,[],[f11845]) ).
tcf(c_1490,plain,
v7_lattices(sK265),
inference(cnf_transformation,[],[f11844]) ).
tcf(c_1491,plain,
v8_lattices(sK265),
inference(cnf_transformation,[],[f11843]) ).
tcf(c_1492,plain,
v9_lattices(sK265),
inference(cnf_transformation,[],[f11842]) ).
tcf(c_1493,plain,
v10_lattices(sK265),
inference(cnf_transformation,[],[f11841]) ).
tcf(c_1494,plain,
v3_filter_0(sK265),
inference(cnf_transformation,[],[f11840]) ).
tcf(c_1495,plain,
l3_lattices(sK266),
inference(cnf_transformation,[],[f11863]) ).
tcf(c_1496,plain,
~ v3_struct_0(sK266),
inference(cnf_transformation,[],[f11862]) ).
tcf(c_1497,plain,
v3_lattices(sK266),
inference(cnf_transformation,[],[f11861]) ).
tcf(c_1498,plain,
v4_lattices(sK266),
inference(cnf_transformation,[],[f11860]) ).
tcf(c_1499,plain,
v5_lattices(sK266),
inference(cnf_transformation,[],[f11859]) ).
tcf(c_1500,plain,
v6_lattices(sK266),
inference(cnf_transformation,[],[f11858]) ).
tcf(c_1501,plain,
v7_lattices(sK266),
inference(cnf_transformation,[],[f11857]) ).
tcf(c_1502,plain,
v8_lattices(sK266),
inference(cnf_transformation,[],[f11856]) ).
tcf(c_1503,plain,
v9_lattices(sK266),
inference(cnf_transformation,[],[f11855]) ).
tcf(c_1504,plain,
v10_lattices(sK266),
inference(cnf_transformation,[],[f11854]) ).
tcf(c_1505,plain,
v13_lattices(sK266),
inference(cnf_transformation,[],[f11853]) ).
tcf(c_1506,plain,
v14_lattices(sK266),
inference(cnf_transformation,[],[f11852]) ).
tcf(c_1507,plain,
v15_lattices(sK266),
inference(cnf_transformation,[],[f11851]) ).
tcf(c_1508,plain,
l3_lattices(sK267),
inference(cnf_transformation,[],[f11873]) ).
tcf(c_1509,plain,
~ v3_struct_0(sK267),
inference(cnf_transformation,[],[f11872]) ).
tcf(c_1510,plain,
v3_lattices(sK267),
inference(cnf_transformation,[],[f11871]) ).
tcf(c_1511,plain,
v4_lattices(sK267),
inference(cnf_transformation,[],[f11870]) ).
tcf(c_1512,plain,
v5_lattices(sK267),
inference(cnf_transformation,[],[f11869]) ).
tcf(c_1513,plain,
v6_lattices(sK267),
inference(cnf_transformation,[],[f11868]) ).
tcf(c_1514,plain,
v7_lattices(sK267),
inference(cnf_transformation,[],[f11867]) ).
tcf(c_1515,plain,
v8_lattices(sK267),
inference(cnf_transformation,[],[f11866]) ).
tcf(c_1516,plain,
v9_lattices(sK267),
inference(cnf_transformation,[],[f11865]) ).
tcf(c_1517,plain,
v10_lattices(sK267),
inference(cnf_transformation,[],[f11864]) ).
tcf(c_1518,plain,
l3_lattices(sK268),
inference(cnf_transformation,[],[f11876]) ).
tcf(c_1519,plain,
~ v3_struct_0(sK268),
inference(cnf_transformation,[],[f11875]) ).
tcf(c_1520,plain,
v3_lattices(sK268),
inference(cnf_transformation,[],[f11874]) ).
tcf(c_1521,plain,
l3_lattices(sK269),
inference(cnf_transformation,[],[f11878]) ).
tcf(c_1522,plain,
v3_lattices(sK269),
inference(cnf_transformation,[],[f11877]) ).
tcf(c_1523,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,[],[f11879]) ).
tcf(c_1524,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,[],[f11880]) ).
tcf(c_1525,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,[],[f11881]) ).
tcf(c_1526,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,[],[f15725]) ).
tcf(c_1527,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,[],[f15726]) ).
tcf(c_1528,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,[],[f15727]) ).
tcf(c_1529,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,[],[f15728]) ).
tcf(c_1530,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,[],[f15729]) ).
tcf(c_1531,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,[],[f11887]) ).
tcf(c_1532,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,sK270(X0,X1,X2),sK271(X0,X1,X2)),X1)
| ~ r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),sK270(X0,X1,X2),sK271(X0,X1,X2)),X2) ),
inference(cnf_transformation,[],[f11894]) ).
tcf(c_1533,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(k9_filter_0(X1,sK270(X1,X2,X0),sK271(X1,X2,X0)),X2)
| r2_hidden(k1_domain_1(u1_struct_0(X1),u1_struct_0(X1),sK270(X1,X2,X0),sK271(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,[],[f11893]) ).
tcf(c_1534,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK271(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,[],[f11892]) ).
tcf(c_1535,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK270(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,[],[f11891]) ).
tcf(c_1536,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,[],[f15489]) ).
tcf(c_1537,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,[],[f15490]) ).
tcf(c_1538,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,[],[f15491]) ).
tcf(c_1539,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,[],[f11897]) ).
tcf(c_1540,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,[],[f11896]) ).
tcf(c_1541,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,[],[f11895]) ).
tcf(c_1542,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,[],[f11898]) ).
tcf(c_1543,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,[],[f11899]) ).
tcf(c_1544,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,[],[f11900]) ).
tcf(c_1545,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,[],[f11901]) ).
tcf(c_1546,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,[],[f11902]) ).
tcf(c_1547,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)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ m2_relset_1(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,sK274(X0,X1,X2,X3),sK275(X0,X1,X2,X3))) != k1_binop_1(X3,sK272(X0,X1,X2,X3),sK273(X0,X1,X2,X3)) ) ),
inference(cnf_transformation,[],[f11908]) ).
tcf(c_1548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| r2_hidden(sK272(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)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2))
| ~ m2_relset_1(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2)) ),
inference(cnf_transformation,[],[f11907]) ).
tcf(c_1549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| r2_hidden(sK273(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)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2))
| ~ m2_relset_1(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2)) ),
inference(cnf_transformation,[],[f11906]) ).
tcf(c_1550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| r2_hidden(sK274(X1,X2,X3,X0),sK272(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)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2))
| ~ m2_relset_1(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2)) ),
inference(cnf_transformation,[],[f11905]) ).
tcf(c_1551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| r2_hidden(sK275(X1,X2,X3,X0),sK273(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)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2))
| ~ m2_relset_1(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2)) ),
inference(cnf_transformation,[],[f11904]) ).
tcf(c_1552,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))
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),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))
| ~ 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,[],[f15492]) ).
tcf(c_1553,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,[],[f11912]) ).
tcf(c_1554,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,[],[f11911]) ).
tcf(c_1555,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,[],[f11910]) ).
tcf(c_1556,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,[],[f11909]) ).
tcf(c_1558,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v10_lattices(k5_filter_1(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f11915]) ).
tcf(c_1559,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v17_lattices(k5_filter_1(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f11914]) ).
tcf(c_1560,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| l3_lattices(k5_filter_1(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f11913]) ).
tcf(c_1561,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,[],[f11917]) ).
tcf(c_1562,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,[],[f11919]) ).
tcf(c_1563,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,[],[f11918]) ).
tcf(c_1564,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,[],[f11920]) ).
tcf(c_1565,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,[],[f11921]) ).
tcf(c_1566,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,[],[f11927]) ).
tcf(c_1568,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f15731]) ).
tcf(c_1569,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v11_lattices(k1_lattice2(X0))
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f15732]) ).
tcf(c_1571,plain,
! [X0: $i] :
( v14_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f11931]) ).
tcf(c_1572,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11930]) ).
tcf(c_1573,plain,
! [X0: $i] :
( v13_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f11933]) ).
tcf(c_1574,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v14_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11932]) ).
tcf(c_1575,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,[],[f15494]) ).
tcf(c_1576,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,[],[f15496]) ).
tcf(c_1577,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,[],[f15498]) ).
tcf(c_1578,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,[],[f15500]) ).
tcf(c_1579,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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(k1_lattice2(X2)))
| ~ m2_relset_1(X0,X1,u1_struct_0(k1_lattice2(X2))) ),
inference(cnf_transformation,[],[f15734]) ).
tcf(c_1580,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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(k1_lattice2(X2)))
| ~ m2_relset_1(X0,X1,u1_struct_0(k1_lattice2(X2))) ),
inference(cnf_transformation,[],[f15735]) ).
tcf(c_1581,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( u1_struct_0(k1_lattice2(X0)) = u1_struct_0(X0) )
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11942]) ).
tcf(c_1582,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( u1_lattices(k1_lattice2(X0)) = u2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11941]) ).
tcf(c_1583,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( u2_lattices(k1_lattice2(X0)) = u1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11940]) ).
tcf(c_1584,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,[],[f11945]) ).
tcf(c_1585,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,[],[f11944]) ).
tcf(c_1586,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( u1_lattices(k8_filter_0(X1,X0)) = k1_realset1(u1_lattices(X1),X0) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f11943]) ).
tcf(c_1587,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(cnf_transformation,[],[f14876]) ).
tcf(c_1588,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(cnf_transformation,[],[f14877]) ).
tcf(c_1589,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(cnf_transformation,[],[f14878]) ).
tcf(c_1590,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,[],[f11949]) ).
tcf(c_1592,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k1_realset1(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11950]) ).
tcf(c_1593,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_realset1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11952]) ).
tcf(c_1594,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,[],[f11955]) ).
tcf(c_1595,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,[],[f11954]) ).
tcf(c_1596,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,[],[f11953]) ).
tcf(c_1597,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v17_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,[],[f15736]) ).
tcf(c_1598,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v10_lattices(k8_filter_0(X1,k2_filter_0(X1,X0)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f15737]) ).
tcf(c_1599,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v17_lattices(k8_filter_0(X1,k2_filter_0(X1,X0)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f15738]) ).
tcf(c_1600,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| l3_lattices(k8_filter_0(X1,k2_filter_0(X1,X0)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f15739]) ).
tcf(c_1601,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,[],[f15740]) ).
tcf(c_1602,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,[],[f11961]) ).
tcf(c_1603,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,[],[f11962]) ).
tcf(c_1604,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,[],[f11963]) ).
tcf(c_1605,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,[],[f15741]) ).
tcf(c_1606,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,[],[f11965]) ).
tcf(c_1607,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,[],[f11966]) ).
tcf(c_1608,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,[],[f15504]) ).
tcf(c_1609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r3_lattices(k8_filter_0(X1,X2),X3,X0)
| ~ 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,X3,X0)
| ~ 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,[],[f15506]) ).
tcf(c_1610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k3_lattices(k8_filter_0(X1,X2),X3,X0) = k3_lattices(X1,X3,X0) )
| ~ 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,[],[f15508]) ).
tcf(c_1611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k4_lattices(k8_filter_0(X1,X2),X3,X0) = k4_lattices(X1,X3,X0) )
| ~ 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,[],[f15510]) ).
tcf(c_1612,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,[],[f11971]) ).
tcf(c_1613,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,[],[f11972]) ).
tcf(c_1614,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK276(X0,X1),X0,X1),
inference(cnf_transformation,[],[f11976]) ).
tcf(c_1615,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK276(X0,X1)),
inference(cnf_transformation,[],[f11975]) ).
tcf(c_1616,plain,
! [X0: $i,X1: $i] : v1_funct_1(sK276(X0,X1)),
inference(cnf_transformation,[],[f11974]) ).
tcf(c_1617,plain,
! [X0: $i,X1: $i] : v1_funct_2(sK276(X0,X1),X0,X1),
inference(cnf_transformation,[],[f11973]) ).
tcf(c_1618,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK277(X0,X1),X0,X1),
inference(cnf_transformation,[],[f11979]) ).
tcf(c_1619,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK277(X0,X1)),
inference(cnf_transformation,[],[f11978]) ).
tcf(c_1620,plain,
! [X0: $i,X1: $i] : v1_funct_1(sK277(X0,X1)),
inference(cnf_transformation,[],[f11977]) ).
tcf(c_1621,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f11981]) ).
tcf(c_1622,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f11980]) ).
tcf(c_1623,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK278(X0,X1),X0,X1),
inference(cnf_transformation,[],[f11982]) ).
tcf(c_1624,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f11984]) ).
tcf(c_1625,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f11983]) ).
tcf(c_1626,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,[],[f11985]) ).
tcf(c_1627,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,[],[f11986]) ).
tcf(c_1628,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,sK279(X0,X1)) != X1 )
| ( k2_lattices(X0,sK279(X0,X1),X1) != X1 ) ),
inference(cnf_transformation,[],[f11990]) ).
tcf(c_1629,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK279(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,[],[f11989]) ).
tcf(c_1630,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,[],[f15511]) ).
tcf(c_1631,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,[],[f15512]) ).
tcf(c_1632,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,sK280(X0,X1)) != X1 )
| ( k2_lattices(X0,sK280(X0,X1),X1) != X1 ) ),
inference(cnf_transformation,[],[f11995]) ).
tcf(c_1633,plain,
! [X0: $i,X1: $i] :
( v13_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(sK280(X1,X0),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11994]) ).
tcf(c_1634,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK281(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v13_lattices(X0) ),
inference(cnf_transformation,[],[f11993]) ).
tcf(c_1635,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_lattices(X1,sK281(X1),X0) = sK281(X1) )
| ~ l1_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11992]) ).
tcf(c_1636,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_lattices(X1,X0,sK281(X1)) = sK281(X1) )
| ~ l1_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11991]) ).
tcf(c_1637,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( k1_lattices(X0,k2_lattices(X0,sK282(X0),sK283(X0)),k2_lattices(X0,sK282(X0),sK284(X0))) != k2_lattices(X0,sK282(X0),k1_lattices(X0,sK283(X0),sK284(X0))) ) ),
inference(cnf_transformation,[],[f12000]) ).
tcf(c_1638,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK284(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11999]) ).
tcf(c_1639,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK283(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11998]) ).
tcf(c_1640,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK282(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11997]) ).
tcf(c_1641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_lattices(X1,k2_lattices(X1,X3,X0),k2_lattices(X1,X3,X2)) = k2_lattices(X1,X3,k1_lattices(X1,X0,X2)) )
| ~ 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,[],[f11996]) ).
tcf(c_1642,plain,
! [X0: $i] :
( v9_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( k2_lattices(X0,sK285(X0),k1_lattices(X0,sK285(X0),sK286(X0))) != sK285(X0) ) ),
inference(cnf_transformation,[],[f12004]) ).
tcf(c_1643,plain,
! [X0: $i] :
( v9_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK286(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12003]) ).
tcf(c_1644,plain,
! [X0: $i] :
( v9_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK285(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12002]) ).
tcf(c_1645,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,[],[f12001]) ).
tcf(c_1646,plain,
! [X0: $i] :
( v8_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( k1_lattices(X0,k2_lattices(X0,sK287(X0),sK288(X0)),sK288(X0)) != sK288(X0) ) ),
inference(cnf_transformation,[],[f12008]) ).
tcf(c_1647,plain,
! [X0: $i] :
( v8_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK288(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12007]) ).
tcf(c_1648,plain,
! [X0: $i] :
( v8_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK287(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12006]) ).
tcf(c_1649,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,[],[f12005]) ).
tcf(c_1650,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| ( k2_lattices(X0,k2_lattices(X0,sK289(X0),sK290(X0)),sK291(X0)) != k2_lattices(X0,sK289(X0),k2_lattices(X0,sK290(X0),sK291(X0))) ) ),
inference(cnf_transformation,[],[f12013]) ).
tcf(c_1651,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK291(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f12012]) ).
tcf(c_1652,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK290(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f12011]) ).
tcf(c_1653,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK289(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f12010]) ).
tcf(c_1654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k2_lattices(X1,k2_lattices(X1,X3,X0),X2) = k2_lattices(X1,X3,k2_lattices(X1,X0,X2)) )
| ~ 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,[],[f12009]) ).
tcf(c_1655,plain,
! [X0: $i] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| ( k2_lattices(X0,sK292(X0),sK293(X0)) != k2_lattices(X0,sK293(X0),sK292(X0)) ) ),
inference(cnf_transformation,[],[f12017]) ).
tcf(c_1656,plain,
! [X0: $i] :
( v6_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK293(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f12016]) ).
tcf(c_1657,plain,
! [X0: $i] :
( v6_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK292(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f12015]) ).
tcf(c_1658,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,[],[f12014]) ).
tcf(c_1659,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,[],[f12018]) ).
tcf(c_1660,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X2)) = k3_lopclset(X1,X0,X2) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_lopclset(X1))
| ~ m1_subset_1(X0,k1_lopclset(X1)) ),
inference(cnf_transformation,[],[f14879]) ).
tcf(c_1661,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k3_lopclset(X1,X0,X0) = X0 )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_lopclset(X1))
| ~ m1_subset_1(X0,k1_lopclset(X1)) ),
inference(cnf_transformation,[],[f12020]) ).
tcf(c_1662,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k3_lopclset(X1,X0,X2) = k3_lopclset(X1,X2,X0) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_lopclset(X1))
| ~ m1_subset_1(X0,k1_lopclset(X1)) ),
inference(cnf_transformation,[],[f12021]) ).
tcf(c_1663,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m2_subset_1(k3_lopclset(X1,X0,X2),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_lopclset(X1))
| ~ m1_subset_1(X0,k1_lopclset(X1)) ),
inference(cnf_transformation,[],[f12022]) ).
tcf(c_1664,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k3_lattices(X1,X0,X2) = k1_lattices(X1,X0,X2) )
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12023]) ).
tcf(c_1665,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(k1_lattices(X1,X0,X2),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12024]) ).
tcf(c_1666,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_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,[],[f12025]) ).
tcf(c_1667,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k6_lattices(X0) = X1 )
| ~ l2_lattices(X0)
| ~ v14_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k1_lattices(X0,X1,sK294(X0,X1)) != X1 )
| ( k1_lattices(X0,sK294(X0,X1),X1) != X1 ) ),
inference(cnf_transformation,[],[f12029]) ).
tcf(c_1668,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK294(X1,X0),u1_struct_0(X1))
| ( k6_lattices(X1) = X0 )
| ~ l2_lattices(X1)
| ~ v14_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12028]) ).
tcf(c_1669,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k1_lattices(X0,k6_lattices(X0),X1) = k6_lattices(X0) )
| ~ l2_lattices(X0)
| ~ v14_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f15513]) ).
tcf(c_1670,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k1_lattices(X0,X1,k6_lattices(X0)) = k6_lattices(X0) )
| ~ l2_lattices(X0)
| ~ v14_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f15514]) ).
tcf(c_1671,plain,
! [X0: $i,X1: $i] :
( v14_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k1_lattices(X0,X1,sK295(X0,X1)) != X1 )
| ( k1_lattices(X0,sK295(X0,X1),X1) != X1 ) ),
inference(cnf_transformation,[],[f12034]) ).
tcf(c_1672,plain,
! [X0: $i,X1: $i] :
( v14_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(sK295(X1,X0),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12033]) ).
tcf(c_1673,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK296(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v14_lattices(X0) ),
inference(cnf_transformation,[],[f12032]) ).
tcf(c_1674,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_lattices(X1,sK296(X1),X0) = sK296(X1) )
| ~ l2_lattices(X1)
| ~ v14_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12031]) ).
tcf(c_1675,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_lattices(X1,X0,sK296(X1)) = sK296(X1) )
| ~ l2_lattices(X1)
| ~ v14_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12030]) ).
tcf(c_1676,plain,
! [X0: $i] :
( v5_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0)
| ( k1_lattices(X0,k1_lattices(X0,sK297(X0),sK298(X0)),sK299(X0)) != k1_lattices(X0,sK297(X0),k1_lattices(X0,sK298(X0),sK299(X0))) ) ),
inference(cnf_transformation,[],[f12039]) ).
tcf(c_1677,plain,
! [X0: $i] :
( v5_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK299(X0),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f12038]) ).
tcf(c_1678,plain,
! [X0: $i] :
( v5_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK298(X0),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f12037]) ).
tcf(c_1679,plain,
! [X0: $i] :
( v5_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK297(X0),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f12036]) ).
tcf(c_1680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_lattices(X1,k1_lattices(X1,X3,X0),X2) = k1_lattices(X1,X3,k1_lattices(X1,X0,X2)) )
| ~ l2_lattices(X1)
| ~ v5_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,[],[f12035]) ).
tcf(c_1681,plain,
! [X0: $i] :
( v4_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0)
| ( k1_lattices(X0,sK300(X0),sK301(X0)) != k1_lattices(X0,sK301(X0),sK300(X0)) ) ),
inference(cnf_transformation,[],[f12043]) ).
tcf(c_1682,plain,
! [X0: $i] :
( v4_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK301(X0),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f12042]) ).
tcf(c_1683,plain,
! [X0: $i] :
( v4_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK300(X0),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f12041]) ).
tcf(c_1684,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_lattices(X1,X0,X2) = k1_lattices(X1,X2,X0) )
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12040]) ).
tcf(c_1685,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),u2_lattices(X1),X0,X2) = k1_lattices(X1,X0,X2) )
| ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12044]) ).
tcf(c_1686,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_lopclset(X1,X0,X2) = k2_xboole_0(X0,X2) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_lopclset(X1))
| ~ m1_subset_1(X0,k1_lopclset(X1)) ),
inference(cnf_transformation,[],[f12045]) ).
tcf(c_1687,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_lopclset(X1,X0,X0) = X0 )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_lopclset(X1))
| ~ m1_subset_1(X0,k1_lopclset(X1)) ),
inference(cnf_transformation,[],[f12046]) ).
tcf(c_1688,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_lopclset(X1,X0,X2) = k2_lopclset(X1,X2,X0) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_lopclset(X1))
| ~ m1_subset_1(X0,k1_lopclset(X1)) ),
inference(cnf_transformation,[],[f12047]) ).
tcf(c_1689,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m2_subset_1(k2_lopclset(X1,X0,X2),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_lopclset(X1))
| ~ m1_subset_1(X0,k1_lopclset(X1)) ),
inference(cnf_transformation,[],[f12048]) ).
tcf(c_1690,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,X5,X4),X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X2)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f12049]) ).
tcf(c_1691,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v2_binop_1(X1,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,sK302(X0,X1),sK303(X0,X1)),sK304(X0,X1)) != k2_binop_1(X0,X0,X0,X1,sK302(X0,X1),k2_binop_1(X0,X0,X0,X1,sK303(X0,X1),sK304(X0,X1))) ) ),
inference(cnf_transformation,[],[f12054]) ).
tcf(c_1692,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v2_binop_1(X0,X1)
| m1_subset_1(sK304(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12053]) ).
tcf(c_1693,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v2_binop_1(X0,X1)
| m1_subset_1(sK303(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12052]) ).
tcf(c_1694,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v2_binop_1(X0,X1)
| m1_subset_1(sK302(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12051]) ).
tcf(c_1695,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,X3),X4) = k2_binop_1(X1,X1,X1,X0,X2,k2_binop_1(X1,X1,X1,X0,X3,X4)) )
| ~ v1_funct_1(X0)
| ~ v2_binop_1(X0,X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12050]) ).
tcf(c_1696,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v1_binop_1(X1,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,sK305(X0,X1),sK306(X0,X1)) != k2_binop_1(X0,X0,X0,X1,sK306(X0,X1),sK305(X0,X1)) ) ),
inference(cnf_transformation,[],[f12058]) ).
tcf(c_1697,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_binop_1(X0,X1)
| m1_subset_1(sK306(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12057]) ).
tcf(c_1698,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_binop_1(X0,X1)
| m1_subset_1(sK305(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12056]) ).
tcf(c_1699,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12055]) ).
tcf(c_1700,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)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ( k2_binop_1(X0,X1,X2,X3,sK307(X0,X1,X2,X3,X4),sK308(X0,X1,X2,X3,X4)) != k2_binop_1(X0,X1,X2,X4,sK307(X0,X1,X2,X3,X4),sK308(X0,X1,X2,X3,X4)) ) ),
inference(cnf_transformation,[],[f12061]) ).
tcf(c_1701,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(sK308(X1,X2,X3,X0,X4),X2)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f12060]) ).
tcf(c_1702,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(sK307(X1,X2,X3,X0,X4),X1)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f12059]) ).
tcf(c_1703,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_membered(X1)
| ~ v1_membered(X0)
| ~ r2_hidden(sK309(X0,X1),X1)
| ~ r2_hidden(sK309(X0,X1),X0) ),
inference(cnf_transformation,[],[f12066]) ).
tcf(c_1704,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK309(X0,X1),X1)
| r2_hidden(sK309(X0,X1),X0)
| ( X0 = X1 )
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f12065]) ).
tcf(c_1705,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(sK309(X0,X1))
| ( X0 = X1 )
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f12064]) ).
tcf(c_1708,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_membered(X1)
| ~ v1_membered(X0)
| ~ r2_hidden(sK310(X0,X1),X1) ),
inference(cnf_transformation,[],[f12070]) ).
tcf(c_1709,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK310(X0,X1),X0)
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f12069]) ).
tcf(c_1710,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_xcmplx_0(sK310(X0,X1))
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f12068]) ).
tcf(c_1712,plain,
! [X0: $i] :
( ( X0 = k2_numbers )
| ~ v1_membered(X0)
| ~ r2_hidden(sK311(X0),X0) ),
inference(cnf_transformation,[],[f12072]) ).
tcf(c_1713,plain,
! [X0: $i] :
( v1_xcmplx_0(sK311(X0))
| ( X0 = k2_numbers )
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f12071]) ).
tcf(c_1714,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK312(X0))
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f12074]) ).
tcf(c_1715,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK312(X0),X0)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f12073]) ).
tcf(c_1716,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_xcmplx_0(sK313(X0)) ),
inference(cnf_transformation,[],[f12077]) ).
tcf(c_1717,plain,
! [X0: $i] :
( v1_membered(X0)
| r2_hidden(sK313(X0),X0) ),
inference(cnf_transformation,[],[f12076]) ).
tcf(c_1718,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12075]) ).
tcf(c_1719,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X1))
| ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0) ),
inference(cnf_transformation,[],[f12078]) ).
tcf(c_1720,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v1_xcmplx_0(X0) ),
inference(cnf_transformation,[],[f14880]) ).
tcf(c_1721,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f12081]) ).
tcf(c_1722,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f12080]) ).
tcf(c_1723,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f12082]) ).
tcf(c_1724,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f12084]) ).
tcf(c_1725,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f12083]) ).
tcf(c_1726,plain,
m1_subset_1(sK314,k1_numbers),
inference(cnf_transformation,[],[f12088]) ).
tcf(c_1727,plain,
v1_xcmplx_0(sK314),
inference(cnf_transformation,[],[f12087]) ).
tcf(c_1728,plain,
v1_xreal_0(sK314),
inference(cnf_transformation,[],[f12086]) ).
tcf(c_1729,plain,
v1_int_1(sK314),
inference(cnf_transformation,[],[f12085]) ).
tcf(c_1730,plain,
v1_xcmplx_0(sK315),
inference(cnf_transformation,[],[f12090]) ).
tcf(c_1731,plain,
v1_xreal_0(sK315),
inference(cnf_transformation,[],[f12089]) ).
tcf(c_1732,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f12091]) ).
tcf(c_1733,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v1_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12092]) ).
tcf(c_1734,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f12095]) ).
tcf(c_1735,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f12094]) ).
tcf(c_1736,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f12093]) ).
tcf(c_1737,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12097]) ).
tcf(c_1738,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12096]) ).
tcf(c_1739,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f12098]) ).
tcf(c_1740,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f14881]) ).
tcf(c_1741,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f14882]) ).
tcf(c_1742,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f14883]) ).
tcf(c_1746,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f14887]) ).
tcf(c_1747,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f14888]) ).
tcf(c_1750,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f14891]) ).
tcf(c_1752,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X0,X1))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f12113]) ).
tcf(c_1753,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_xboole_0(X0,X1))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f12112]) ).
tcf(c_1754,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_xboole_0(X0,X1))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f12111]) ).
tcf(c_1755,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X0,X1))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12115]) ).
tcf(c_1756,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_xboole_0(X0,X1))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12114]) ).
tcf(c_1757,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X0,X1))
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f12116]) ).
tcf(c_1758,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v3_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12119]) ).
tcf(c_1759,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v3_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12118]) ).
tcf(c_1761,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v2_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12121]) ).
tcf(c_1764,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f12124]) ).
tcf(c_1765,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f12123]) ).
tcf(c_1766,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f14893]) ).
tcf(c_1767,plain,
! [X0: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f14894]) ).
tcf(c_1769,plain,
v1_membered(k1_numbers),
inference(cnf_transformation,[],[f12128]) ).
tcf(c_1770,plain,
v2_membered(k1_numbers),
inference(cnf_transformation,[],[f12127]) ).
tcf(c_1771,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_numbers)) ),
inference(cnf_transformation,[],[f12131]) ).
tcf(c_1772,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_numbers)) ),
inference(cnf_transformation,[],[f12130]) ).
tcf(c_1773,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12132]) ).
tcf(c_1774,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ( sK316(X0,X1,X2) != sK317(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f12137]) ).
tcf(c_1775,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,sK316(X1,X2,X0)) = k8_funct_2(X1,X2,X0,sK317(X1,X2,X0)) )
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f12136]) ).
tcf(c_1776,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(sK317(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f12135]) ).
tcf(c_1777,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(sK316(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f12134]) ).
tcf(c_1778,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)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ( k8_funct_2(X0,X1,X2,X3) != k8_funct_2(X0,X1,X2,X4) ) ),
inference(cnf_transformation,[],[f12133]) ).
tcf(c_1779,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k2_relat_1(X0) != k2_relat_1(X1) ) ),
inference(cnf_transformation,[],[f12138]) ).
tcf(c_1780,plain,
v1_xboole_0(sK318),
inference(cnf_transformation,[],[f12144]) ).
tcf(c_1781,plain,
v1_relat_1(sK318),
inference(cnf_transformation,[],[f12143]) ).
tcf(c_1782,plain,
v1_funct_1(sK318),
inference(cnf_transformation,[],[f12142]) ).
tcf(c_1783,plain,
v2_funct_1(sK318),
inference(cnf_transformation,[],[f12141]) ).
tcf(c_1784,plain,
v1_finset_1(sK318),
inference(cnf_transformation,[],[f12140]) ).
tcf(c_1785,plain,
v1_finseq_1(sK318),
inference(cnf_transformation,[],[f12139]) ).
tcf(c_1786,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_card_1(k1_relat_1(X0)),k1_card_1(X1))
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f15517]) ).
tcf(c_1787,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK319(X0,X1))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f12149]) ).
tcf(c_1788,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK319(X0,X1))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f12148]) ).
tcf(c_1789,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(sK319(X0,X1))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f12147]) ).
tcf(c_1790,plain,
! [X0: $i,X1: $i] :
( ( k1_relat_1(sK319(X0,X1)) = X0 )
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f12146]) ).
tcf(c_1791,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(sK319(X0,X1)),X1)
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f12145]) ).
tcf(c_1793,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0)
| ( sK320(X0,X1) != sK321(X0,X1) ) ),
inference(cnf_transformation,[],[f12156]) ).
tcf(c_1794,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| r2_hidden(sK320(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f12155]) ).
tcf(c_1795,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| r2_hidden(sK321(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f12154]) ).
tcf(c_1796,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ( k1_funct_1(X0,sK320(X1,X0)) = k1_funct_1(X0,sK321(X1,X0)) )
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f12153]) ).
tcf(c_1797,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)
| ~ v1_funct_2(X0,X3,X3)
| ~ m2_relset_1(X0,X3,X3)
| ( k1_funct_1(X0,X1) != k1_funct_1(X0,X2) ) ),
inference(cnf_transformation,[],[f12152]) ).
tcf(c_1803,plain,
! [X0: $i,X1: $i] :
( sP18(np__0,X0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,np__0,X1)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f15518]) ).
tcf(c_1804,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP18(X1,X0)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14896]) ).
tcf(c_1805,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(cnf_transformation,[],[f14897]) ).
tcf(c_1806,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,np__0) ),
inference(cnf_transformation,[],[f14898]) ).
tcf(c_1807,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f14899]) ).
tcf(c_1808,plain,
v1_relat_1(sK324),
inference(cnf_transformation,[],[f12170]) ).
tcf(c_1809,plain,
v1_funct_1(sK324),
inference(cnf_transformation,[],[f12169]) ).
tcf(c_1810,plain,
v2_funct_1(sK324),
inference(cnf_transformation,[],[f12168]) ).
tcf(c_1811,plain,
v1_xboole_0(sK324),
inference(cnf_transformation,[],[f12167]) ).
tcf(c_1812,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k2_tarski(sK325(X0),sK325(X0))),k2_tarski(X1,X1)) ),
inference(cnf_transformation,[],[f14900]) ).
tcf(c_1813,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(X0,k2_tarski(X1,X1)),k2_tarski(sK326(X0,X1),sK326(X0,X1)))
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14901]) ).
tcf(c_1814,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X1,k1_relat_1(X0))
| ~ r1_tarski(k9_relat_1(X0,X1),k9_relat_1(X0,X2)) ),
inference(cnf_transformation,[],[f12173]) ).
tcf(c_1815,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k9_relat_1(X0,sK327(X0))),sK327(X0)) ),
inference(cnf_transformation,[],[f12174]) ).
tcf(c_1816,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(X0,k9_relat_1(X0,X1)),X1)
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12175]) ).
tcf(c_1817,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(sK328(X1,X0),sK328(X1,X0)) = k10_relat_1(X1,k2_tarski(X0,X0)) )
| ~ v2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f14902]) ).
tcf(c_1818,plain,
! [X0: $i] :
( v2_funct_1(X0)
| r2_hidden(sK329(X0),k2_relat_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12177]) ).
tcf(c_1819,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k10_relat_1(X0,k2_tarski(sK329(X0),sK329(X0))) != k2_tarski(X1,X1) ) ),
inference(cnf_transformation,[],[f14903]) ).
tcf(c_1820,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k4_xboole_0(k9_relat_1(X0,sK330(X0)),k9_relat_1(X0,sK331(X0))) != k9_relat_1(X0,k4_xboole_0(sK330(X0),sK331(X0))) ) ),
inference(cnf_transformation,[],[f12179]) ).
tcf(c_1821,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12180]) ).
tcf(c_1822,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k4_xboole_0(k9_relat_1(X0,sK332(X0)),k4_xboole_0(k9_relat_1(X0,sK332(X0)),k9_relat_1(X0,sK333(X0)))) != k9_relat_1(X0,k4_xboole_0(sK332(X0),k4_xboole_0(sK332(X0),sK333(X0)))) ) ),
inference(cnf_transformation,[],[f14904]) ).
tcf(c_1823,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14905]) ).
tcf(c_1824,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(k7_relat_1(X0,X1))
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12183]) ).
tcf(c_1825,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( sK334(X0) != sK335(X0) ) ),
inference(cnf_transformation,[],[f12188]) ).
tcf(c_1826,plain,
! [X0: $i] :
( v2_funct_1(X0)
| r2_hidden(sK334(X0),k1_relat_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12187]) ).
tcf(c_1827,plain,
! [X0: $i] :
( v2_funct_1(X0)
| r2_hidden(sK335(X0),k1_relat_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12186]) ).
tcf(c_1828,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ( k1_funct_1(X0,sK334(X0)) = k1_funct_1(X0,sK335(X0)) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12185]) ).
tcf(c_1829,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_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,[],[f12184]) ).
tcf(c_1830,plain,
v1_relat_1(sK336),
inference(cnf_transformation,[],[f12191]) ).
tcf(c_1831,plain,
v1_funct_1(sK336),
inference(cnf_transformation,[],[f12190]) ).
tcf(c_1832,plain,
v2_funct_1(sK336),
inference(cnf_transformation,[],[f12189]) ).
tcf(c_1833,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f12192]) ).
tcf(c_1834,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(X1,X0),X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12195]) ).
tcf(c_1835,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12196]) ).
tcf(c_1837,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k9_relat_1(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_finset_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12198]) ).
tcf(c_1838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k9_relat_1(X0,X3),X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f12199]) ).
tcf(c_1839,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)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f15519]) ).
tcf(c_1840,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(cnf_transformation,[],[f14907]) ).
tcf(c_1841,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,[],[f14908]) ).
tcf(c_1842,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,[],[f14909]) ).
tcf(c_1843,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,[],[f12204]) ).
tcf(c_1844,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,[],[f14910]) ).
tcf(c_1845,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14911]) ).
tcf(c_1846,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14912]) ).
tcf(c_1847,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14913]) ).
tcf(c_1848,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(X1,k10_relat_1(X1,X0)) = X0 )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f12209]) ).
tcf(c_1849,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,[],[f12210]) ).
tcf(c_1850,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k9_relat_1(X0,k10_relat_1(X0,X1)),X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12211]) ).
tcf(c_1851,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_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X2,k1_relat_1(X1))
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12212]) ).
tcf(c_1852,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_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f14914]) ).
tcf(c_1853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k9_relat_1(X0,X1) = X2 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,k1_relat_1(X0))
| ~ r2_hidden(sK337(X0,X1,X2),X2)
| ( sK337(X0,X1,X2) != k1_funct_1(X0,X3) ) ),
inference(cnf_transformation,[],[f12221]) ).
tcf(c_1854,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK337(X0,X1,X2),X2)
| r2_hidden(sK338(X0,X1,X2),k1_relat_1(X0))
| ( k9_relat_1(X0,X1) = X2 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12220]) ).
tcf(c_1855,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK338(X0,X1,X2),X1)
| r2_hidden(sK337(X0,X1,X2),X2)
| ( k9_relat_1(X0,X1) = X2 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12219]) ).
tcf(c_1856,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK337(X0,X1,X2),X2)
| ( k9_relat_1(X0,X1) = X2 )
| ( k1_funct_1(X0,sK338(X0,X1,X2)) = sK337(X0,X1,X2) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12218]) ).
tcf(c_1857,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X1,X0),k9_relat_1(X1,X2))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f15521]) ).
tcf(c_1858,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK339(X1,X2,X0),k1_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15522]) ).
tcf(c_1859,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK339(X1,X2,X0),X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15523]) ).
tcf(c_1860,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X1,sK339(X1,X2,X0)) = X0 )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15524]) ).
tcf(c_1861,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,[],[f12222]) ).
tcf(c_1862,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,[],[f12223]) ).
tcf(c_1863,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,[],[f12224]) ).
tcf(c_1864,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,[],[f12225]) ).
tcf(c_1865,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,[],[f12226]) ).
tcf(c_1866,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,[],[f14915]) ).
tcf(c_1867,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(k9_relat_1(X0,X1),k9_relat_1(X0,X2)) = k9_relat_1(X0,k2_xboole_0(X1,X2)) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12228]) ).
tcf(c_1868,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,[],[f14916]) ).
tcf(c_1869,plain,
! [X0: $i] : k9_relat_1(np__0,X0) = np__0,
inference(cnf_transformation,[],[f14917]) ).
tcf(c_1870,plain,
! [X0: $i] :
( ( k9_relat_1(X0,np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14918]) ).
tcf(c_1871,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,[],[f12232]) ).
tcf(c_1872,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,[],[f12233]) ).
tcf(c_1873,plain,
! [X0: $i] :
( ( k9_relat_1(X0,k1_relat_1(X0)) = k2_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12234]) ).
tcf(c_1874,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,[],[f14919]) ).
tcf(c_1875,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k9_relat_1(X0,X1),k2_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12236]) ).
tcf(c_1877,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK340(X0,X2,X1),k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12239]) ).
tcf(c_1878,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK340(X0,X2,X1),X0),k2_tarski(sK340(X0,X2,X1),sK340(X0,X2,X1))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f14921]) ).
tcf(c_1879,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK340(X0,X2,X1),X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12237]) ).
tcf(c_1880,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(sK341(X1,X2,X3),X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,sK341(X1,X2,X3)),k2_tarski(X0,X0)),X1) ),
inference(cnf_transformation,[],[f14922]) ).
tcf(c_1881,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK341(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK342(X0,X1,X2),sK341(X0,X1,X2)),k2_tarski(sK342(X0,X1,X2),sK342(X0,X1,X2))),X0)
| ( k9_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14923]) ).
tcf(c_1882,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK342(X0,X1,X2),X1)
| r2_hidden(sK341(X0,X1,X2),X2)
| ( k9_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12244]) ).
tcf(c_1883,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(cnf_transformation,[],[f15525]) ).
tcf(c_1884,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK343(X1,X2,X0),X0),k2_tarski(sK343(X1,X2,X0),sK343(X1,X2,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15526]) ).
tcf(c_1885,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK343(X1,X2,X0),X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15527]) ).
tcf(c_1888,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k7_relat_1(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_finset_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12247]) ).
tcf(c_1889,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)
| ~ v1_funct_2(X2,X3,X4)
| ~ v1_funct_2(X0,X3,X4)
| ~ m2_relset_1(X2,X3,X4)
| ~ m2_relset_1(X0,X3,X4)
| ( k7_relat_1(X0,X1) != k7_relat_1(X2,X1) ) ),
inference(cnf_transformation,[],[f12250]) ).
tcf(c_1890,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,[],[f14926]) ).
tcf(c_1895,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X1,X0),k2_relat_1(k7_relat_1(X1,X2)))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12256]) ).
tcf(c_1896,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_relat_1(X2,X1),X0) = k1_funct_1(X2,X0) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12257]) ).
tcf(c_1897,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_relat_1(X1,X2),X0) = k1_funct_1(X1,X0) )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k4_xboole_0(k1_relat_1(X1),k4_xboole_0(k1_relat_1(X1),X2))) ),
inference(cnf_transformation,[],[f14927]) ).
tcf(c_1898,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_relat_1(X1,X2),X0) = k1_funct_1(X1,X0) )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k7_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f12259]) ).
tcf(c_1899,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(X1,X2) = X0 )
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k1_funct_1(X0,sK344(X0,X1)) != k1_funct_1(X1,sK344(X0,X1)) )
| ( k4_xboole_0(k1_relat_1(X1),k4_xboole_0(k1_relat_1(X1),X2)) != k1_relat_1(X0) ) ),
inference(cnf_transformation,[],[f14928]) ).
tcf(c_1900,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK344(X2,X0),k1_relat_1(X2))
| ( k7_relat_1(X0,X1) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ( k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),X1)) != k1_relat_1(X2) ) ),
inference(cnf_transformation,[],[f14929]) ).
tcf(c_1904,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k7_relat_1(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12264]) ).
tcf(c_1905,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12266]) ).
tcf(c_1906,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,[],[f12267]) ).
tcf(c_1907,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,[],[f12268]) ).
tcf(c_1908,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,[],[f12269]) ).
tcf(c_1909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k7_relat_1(X0,k2_xboole_0(X1,X3)) = k7_relat_1(X2,k2_xboole_0(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,[],[f12270]) ).
tcf(c_1910,plain,
! [X0: $i] : k7_relat_1(np__0,X0) = np__0,
inference(cnf_transformation,[],[f14931]) ).
tcf(c_1911,plain,
! [X0: $i] :
( ( k7_relat_1(X0,np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14932]) ).
tcf(c_1912,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,[],[f12273]) ).
tcf(c_1913,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,[],[f14933]) ).
tcf(c_1914,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(k7_relat_1(X0,X1),k7_relat_1(X0,X2)) = k7_relat_1(X0,k2_xboole_0(X1,X2)) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12275]) ).
tcf(c_1915,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,[],[f12276]) ).
tcf(c_1916,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,[],[f12277]) ).
tcf(c_1917,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,[],[f12278]) ).
tcf(c_1918,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,[],[f12279]) ).
tcf(c_1919,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,[],[f12280]) ).
tcf(c_1920,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,[],[f12281]) ).
tcf(c_1921,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,[],[f14934]) ).
tcf(c_1922,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,[],[f12283]) ).
tcf(c_1923,plain,
! [X0: $i] :
( ( k7_relat_1(X0,k1_relat_1(X0)) = X0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12284]) ).
tcf(c_1924,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,[],[f12285]) ).
tcf(c_1925,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,[],[f14935]) ).
tcf(c_1926,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,[],[f12287]) ).
tcf(c_1927,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,[],[f14936]) ).
tcf(c_1928,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,[],[f12289]) ).
tcf(c_1929,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k7_relat_1(X0,X1),X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12290]) ).
tcf(c_1930,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(k7_relat_1(X0,X1)),X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12291]) ).
tcf(c_1931,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,[],[f12294]) ).
tcf(c_1932,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,[],[f12293]) ).
tcf(c_1933,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,[],[f12292]) ).
tcf(c_1934,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK345(X0,X1,X2),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK345(X0,X1,X2),sK346(X0,X1,X2)),k2_tarski(sK345(X0,X1,X2),sK345(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK345(X0,X1,X2),sK346(X0,X1,X2)),k2_tarski(sK345(X0,X1,X2),sK345(X0,X1,X2))),X0) ),
inference(cnf_transformation,[],[f14937]) ).
tcf(c_1935,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK345(X0,X2,X1),X2)
| r2_hidden(k2_tarski(k2_tarski(sK345(X0,X2,X1),sK346(X0,X2,X1)),k2_tarski(sK345(X0,X2,X1),sK345(X0,X2,X1))),X1)
| ( k7_relat_1(X0,X2) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14938]) ).
tcf(c_1936,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK345(X0,X2,X1),sK346(X0,X2,X1)),k2_tarski(sK345(X0,X2,X1),sK345(X0,X2,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK345(X0,X2,X1),sK346(X0,X2,X1)),k2_tarski(sK345(X0,X2,X1),sK345(X0,X2,X1))),X0)
| ( k7_relat_1(X0,X2) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14939]) ).
tcf(c_1937,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)
| ~ v1_relat_1(k7_relat_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(cnf_transformation,[],[f15530]) ).
tcf(c_1938,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_tarski(X0,X0)),k7_relat_1(X2,X3)) ),
inference(cnf_transformation,[],[f15531]) ).
tcf(c_1939,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)
| ~ v1_relat_1(k7_relat_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k7_relat_1(X2,X3)) ),
inference(cnf_transformation,[],[f15532]) ).
tcf(c_1940,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k10_relat_1(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12301]) ).
tcf(c_1941,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finset_1(k10_relat_1(X1,X0))
| ~ r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f12302]) ).
tcf(c_1942,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,[],[f12303]) ).
tcf(c_1943,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)
| ~ v1_funct_2(X0,X3,X4)
| ~ m2_relset_1(X0,X3,X4)
| ~ r2_hidden(k1_funct_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f14943]) ).
tcf(c_1944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X0,X3)
| ( X4 = np__0 )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X3,X4)
| ~ m2_relset_1(X1,X3,X4)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f14944]) ).
tcf(c_1945,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)
| ~ v1_funct_2(X1,X3,X4)
| ~ m2_relset_1(X1,X3,X4)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f14945]) ).
tcf(c_1946,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,[],[f14946]) ).
tcf(c_1947,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,[],[f14947]) ).
tcf(c_1948,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ v1_funct_1(X0)
| ~ v1_relat_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,[],[f12309]) ).
tcf(c_1949,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X1,k2_relat_1(X0))
| ~ r1_tarski(k10_relat_1(X0,X1),k10_relat_1(X0,X2)) ),
inference(cnf_transformation,[],[f12310]) ).
tcf(c_1950,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k2_relat_1(X0))
| r2_hidden(sK347(X1,X0),X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12312]) ).
tcf(c_1951,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k2_relat_1(X0))
| ( k10_relat_1(X0,k2_tarski(sK347(X1,X0),sK347(X1,X0))) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14948]) ).
tcf(c_1952,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(cnf_transformation,[],[f14949]) ).
tcf(c_1953,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(cnf_transformation,[],[f14950]) ).
tcf(c_1954,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12315]) ).
tcf(c_1955,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14951]) ).
tcf(c_1956,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k10_relat_1(X0,X1) = X2 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK348(X0,X1,X2),X2)
| ~ r2_hidden(sK348(X0,X1,X2),k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,sK348(X0,X1,X2)),X1) ),
inference(cnf_transformation,[],[f12322]) ).
tcf(c_1957,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK348(X0,X1,X2),X2)
| r2_hidden(sK348(X0,X1,X2),k1_relat_1(X0))
| ( k10_relat_1(X0,X1) = X2 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12321]) ).
tcf(c_1958,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK348(X0,X1,X2),X2)
| r2_hidden(k1_funct_1(X0,sK348(X0,X1,X2)),X1)
| ( k10_relat_1(X0,X1) = X2 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12320]) ).
tcf(c_1959,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,k10_relat_1(X0,X2))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f15533]) ).
tcf(c_1960,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15534]) ).
tcf(c_1961,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X1,X0),X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15535]) ).
tcf(c_1962,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,[],[f12323]) ).
tcf(c_1963,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,[],[f12324]) ).
tcf(c_1964,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,[],[f12325]) ).
tcf(c_1965,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,[],[f12326]) ).
tcf(c_1966,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,[],[f14952]) ).
tcf(c_1967,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(k10_relat_1(X0,X1),k10_relat_1(X0,X2)) = k10_relat_1(X0,k2_xboole_0(X1,X2)) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12328]) ).
tcf(c_1968,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,[],[f14953]) ).
tcf(c_1969,plain,
! [X0: $i] : k10_relat_1(np__0,X0) = np__0,
inference(cnf_transformation,[],[f14954]) ).
tcf(c_1970,plain,
! [X0: $i] :
( ( k10_relat_1(X0,np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14955]) ).
tcf(c_1971,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,[],[f12332]) ).
tcf(c_1972,plain,
! [X0: $i] :
( ( k10_relat_1(X0,k2_relat_1(X0)) = k1_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12333]) ).
tcf(c_1973,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,[],[f14956]) ).
tcf(c_1974,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(X0,X1),k1_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12335]) ).
tcf(c_1976,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK349(X0,X2,X1),k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12338]) ).
tcf(c_1977,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK349(X0,X2,X1)),k2_tarski(X0,X0)),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f14958]) ).
tcf(c_1978,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK349(X0,X2,X1),X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12336]) ).
tcf(c_1979,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(sK350(X0,X1,X2),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK350(X0,X1,X2),X3),k2_tarski(sK350(X0,X1,X2),sK350(X0,X1,X2))),X0) ),
inference(cnf_transformation,[],[f14959]) ).
tcf(c_1980,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK350(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK350(X0,X1,X2),sK351(X0,X1,X2)),k2_tarski(sK350(X0,X1,X2),sK350(X0,X1,X2))),X0)
| ( k10_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14960]) ).
tcf(c_1981,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK351(X0,X1,X2),X1)
| r2_hidden(sK350(X0,X1,X2),X2)
| ( k10_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12343]) ).
tcf(c_1982,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(cnf_transformation,[],[f15536]) ).
tcf(c_1983,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK352(X1,X2,X0)),k2_tarski(X0,X0)),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15537]) ).
tcf(c_1984,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK352(X1,X2,X0),X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15538]) ).
tcf(c_1985,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r2_hidden(k2_tarski(X0,X2),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12347]) ).
tcf(c_1986,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0)),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14963]) ).
tcf(c_1987,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) )
| ~ 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(cnf_transformation,[],[f15539]) ).
tcf(c_1988,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) )
| ~ 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(cnf_transformation,[],[f15540]) ).
tcf(c_1989,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(cnf_transformation,[],[f14966]) ).
tcf(c_1990,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,[],[f14967]) ).
tcf(c_1991,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f12352]) ).
tcf(c_1995,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X1)) = np__0,
inference(cnf_transformation,[],[f15542]) ).
tcf(c_1996,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X0)) = np__0,
inference(cnf_transformation,[],[f15543]) ).
tcf(c_1998,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(cnf_transformation,[],[f14974]) ).
tcf(c_1999,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(cnf_transformation,[],[f14975]) ).
tcf(c_2000,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,[],[f14976]) ).
tcf(c_2001,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ( k4_xboole_0(k2_tarski(X0,X1),X2) != np__0 ) ),
inference(cnf_transformation,[],[f14977]) ).
tcf(c_2002,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| ( k4_xboole_0(k2_tarski(X0,X1),X2) != np__0 ) ),
inference(cnf_transformation,[],[f14978]) ).
tcf(c_2003,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,[],[f12366]) ).
tcf(c_2004,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,[],[f12365]) ).
tcf(c_2005,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,[],[f12364]) ).
tcf(c_2006,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(cnf_transformation,[],[f14979]) ).
tcf(c_2007,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ( k4_xboole_0(k2_tarski(X0,X0),X1) = k2_tarski(X0,X0) ) ),
inference(cnf_transformation,[],[f15545]) ).
tcf(c_2008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X2)
| ( k4_xboole_0(k2_tarski(X0,X1),X2) != k2_tarski(X0,X0) ) ),
inference(cnf_transformation,[],[f14981]) ).
tcf(c_2009,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(cnf_transformation,[],[f14982]) ).
tcf(c_2010,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,[],[f14983]) ).
tcf(c_2011,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_tarski(X0,X0) )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14984]) ).
tcf(c_2012,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X0,X0),X1)) = k2_tarski(X0,X0) )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15546]) ).
tcf(c_2013,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_tarski(X0,X0) ) ),
inference(cnf_transformation,[],[f14986]) ).
tcf(c_2014,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,[],[f14987]) ).
tcf(c_2015,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_tarski(X0,X1),X2) != np__0,
inference(cnf_transformation,[],[f14988]) ).
tcf(c_2016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(k2_tarski(X0,X2),X1) = X1 )
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12377]) ).
tcf(c_2017,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ r1_tarski(k2_xboole_0(k2_tarski(X0,X1),X2),X2) ),
inference(cnf_transformation,[],[f12378]) ).
tcf(c_2020,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_tarski(X0,X0),k2_tarski(X1,X0)),
inference(cnf_transformation,[],[f15549]) ).
tcf(c_2022,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(cnf_transformation,[],[f14992]) ).
tcf(c_2023,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,[],[f12386]) ).
tcf(c_2024,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ r1_tarski(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f12385]) ).
tcf(c_2025,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| ~ r1_tarski(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f12384]) ).
tcf(c_2026,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(cnf_transformation,[],[f14993]) ).
tcf(c_2027,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(cnf_transformation,[],[f14994]) ).
tcf(c_2028,plain,
! [X0: $i] : k2_tarski(np__0,k2_tarski(X0,X0)) = k1_zfmisc_1(k2_tarski(X0,X0)),
inference(cnf_transformation,[],[f14995]) ).
tcf(c_2029,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,[],[f12390]) ).
tcf(c_2030,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(cnf_transformation,[],[f14996]) ).
tcf(c_2031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ r1_tarski(k2_tarski(X0,X1),k2_tarski(X2,X2)) ),
inference(cnf_transformation,[],[f14997]) ).
tcf(c_2033,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)) = k2_tarski(X0,X0) ) ),
inference(cnf_transformation,[],[f14999]) ).
tcf(c_2034,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X1)) = np__0,
inference(cnf_transformation,[],[f15000]) ).
tcf(c_2037,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_tarski(X0,X0),k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f15003]) ).
tcf(c_2038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( X0 = X2 )
| ( k2_tarski(X0,X1) != k2_tarski(X2,X3) ) ),
inference(cnf_transformation,[],[f12399]) ).
tcf(c_2039,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k2_tarski(X0,X0) != k2_tarski(X1,X2) ) ),
inference(cnf_transformation,[],[f15004]) ).
tcf(c_2040,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k2_tarski(X0,X0) != k2_tarski(X1,X2) ) ),
inference(cnf_transformation,[],[f15005]) ).
tcf(c_2041,plain,
! [X0: $i,X1: $i] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f12404]) ).
tcf(c_2042,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(X0,X1) = X2 )
| ~ r2_hidden(sK353(X0,X1,X2),X2)
| ( sK353(X0,X1,X2) != X0 ) ),
inference(cnf_transformation,[],[f12411]) ).
tcf(c_2043,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(X0,X1) = X2 )
| ~ r2_hidden(sK353(X0,X1,X2),X2)
| ( sK353(X0,X1,X2) != X1 ) ),
inference(cnf_transformation,[],[f12410]) ).
tcf(c_2044,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK353(X0,X1,X2),X2)
| ( k2_tarski(X0,X1) = X2 )
| ( sK353(X0,X1,X2) = X1 )
| ( sK353(X0,X1,X2) = X0 ) ),
inference(cnf_transformation,[],[f12409]) ).
tcf(c_2045,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f15552]) ).
tcf(c_2046,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k2_tarski(X1,X0)),
inference(cnf_transformation,[],[f15554]) ).
tcf(c_2047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ r2_hidden(X0,k2_tarski(X1,X2)) ),
inference(cnf_transformation,[],[f15555]) ).
tcf(c_2048,plain,
~ v1_xboole_0(k1_numbers),
inference(cnf_transformation,[],[f12412]) ).
tcf(c_2049,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k1_card_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f15006]) ).
tcf(c_2052,plain,
! [X0: $i] :
( ( k1_card_1(X0) = X0 )
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f12416]) ).
tcf(c_2053,plain,
! [X0: $i,X1: $i] : k1_card_1(k2_tarski(X0,X0)) = k1_card_1(k2_tarski(X1,X1)),
inference(cnf_transformation,[],[f15557]) ).
tcf(c_2054,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(sK354(X1),sK354(X1)) = X1 )
| ( k1_card_1(k2_tarski(X0,X0)) != k1_card_1(X1) ) ),
inference(cnf_transformation,[],[f15009]) ).
tcf(c_2055,plain,
k1_card_1(np__0) = np__0,
inference(cnf_transformation,[],[f15010]) ).
tcf(c_2056,plain,
! [X0: $i] : r2_hidden(k1_card_1(X0),k1_card_1(k1_zfmisc_1(X0))),
inference(cnf_transformation,[],[f12420]) ).
tcf(c_2057,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_card_1(X0),k1_card_1(k1_relat_1(X1)))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f15558]) ).
tcf(c_2058,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK355(X0,X1))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f12424]) ).
tcf(c_2059,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK355(X0,X1))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f12423]) ).
tcf(c_2060,plain,
! [X0: $i,X1: $i] :
( ( k1_relat_1(sK355(X0,X1)) = X1 )
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f12422]) ).
tcf(c_2061,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_relat_1(sK355(X0,X1)))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f12421]) ).
tcf(c_2062,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_card_1(X0),k1_card_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12426]) ).
tcf(c_2063,plain,
! [X0: $i] :
( ( k1_card_1(X0) = k3_finseq_1(X0) )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12427]) ).
tcf(c_2064,plain,
! [X0: $i] :
( m2_subset_1(k3_finseq_1(X0),k1_numbers,k5_numbers)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12428]) ).
tcf(c_2065,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(X0)
| ~ m2_finseq_1(X0,X1) ),
inference(cnf_transformation,[],[f12431]) ).
tcf(c_2066,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(X0)
| ~ m2_finseq_1(X0,X1) ),
inference(cnf_transformation,[],[f12430]) ).
tcf(c_2067,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(X0,k5_numbers,X1)
| ~ m2_finseq_1(X0,X1) ),
inference(cnf_transformation,[],[f12429]) ).
tcf(c_2068,plain,
! [X0: $i] :
( v1_finset_1(k2_relat_1(X0))
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15559]) ).
tcf(c_2069,plain,
! [X0: $i] :
( v1_relat_1(sK356(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f12435]) ).
tcf(c_2070,plain,
! [X0: $i] :
( v1_funct_1(sK356(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f12434]) ).
tcf(c_2071,plain,
! [X0: $i] :
( v1_finseq_1(sK356(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f12433]) ).
tcf(c_2072,plain,
! [X0: $i] :
( ( k2_relat_1(sK356(X0)) = X0 )
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f12432]) ).
tcf(c_2075,plain,
( ( k3_finseq_1(np__0) = np__0 )
| ~ v1_finseq_1(np__0)
| ~ v1_funct_1(np__0)
| ~ v1_relat_1(np__0) ),
inference(cnf_transformation,[],[f15561]) ).
tcf(c_2076,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k3_finseq_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f15014]) ).
tcf(c_2077,plain,
v1_relat_1(np__0),
inference(cnf_transformation,[],[f15015]) ).
tcf(c_2078,plain,
v1_funct_1(np__0),
inference(cnf_transformation,[],[f15016]) ).
tcf(c_2079,plain,
v1_finseq_1(np__0),
inference(cnf_transformation,[],[f15017]) ).
tcf(c_2080,plain,
~ v1_xboole_0(sK357),
inference(cnf_transformation,[],[f12448]) ).
tcf(c_2081,plain,
v1_relat_1(sK357),
inference(cnf_transformation,[],[f12447]) ).
tcf(c_2082,plain,
v1_funct_1(sK357),
inference(cnf_transformation,[],[f12446]) ).
tcf(c_2083,plain,
v1_finset_1(sK357),
inference(cnf_transformation,[],[f12445]) ).
tcf(c_2084,plain,
v1_finseq_1(sK357),
inference(cnf_transformation,[],[f12444]) ).
tcf(c_2085,plain,
! [X0: $i] : m1_relset_1(sK358(X0),k5_numbers,X0),
inference(cnf_transformation,[],[f12453]) ).
tcf(c_2086,plain,
! [X0: $i] : v1_relat_1(sK358(X0)),
inference(cnf_transformation,[],[f12452]) ).
tcf(c_2087,plain,
! [X0: $i] : v1_funct_1(sK358(X0)),
inference(cnf_transformation,[],[f12451]) ).
tcf(c_2088,plain,
! [X0: $i] : v1_finset_1(sK358(X0)),
inference(cnf_transformation,[],[f12450]) ).
tcf(c_2089,plain,
! [X0: $i] : v1_finseq_1(sK358(X0)),
inference(cnf_transformation,[],[f12449]) ).
tcf(c_2090,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12454]) ).
tcf(c_2091,plain,
v1_relat_1(sK359),
inference(cnf_transformation,[],[f12459]) ).
tcf(c_2092,plain,
v1_funct_1(sK359),
inference(cnf_transformation,[],[f12458]) ).
tcf(c_2093,plain,
v1_finseq_1(sK359),
inference(cnf_transformation,[],[f12457]) ).
tcf(c_2094,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK360(X0,X1),X0)
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12463]) ).
tcf(c_2095,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK360(X0,X1),X1)
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12462]) ).
tcf(c_2096,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v1_int_1(sK360(X0,X1))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12461]) ).
tcf(c_2098,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v4_membered(X1)
| ~ v4_membered(X0)
| ~ r2_hidden(sK361(X0,X1),X1)
| ~ r2_hidden(sK361(X0,X1),X0) ),
inference(cnf_transformation,[],[f12468]) ).
tcf(c_2099,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK361(X0,X1),X1)
| r2_hidden(sK361(X0,X1),X0)
| ( X0 = X1 )
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12467]) ).
tcf(c_2100,plain,
! [X0: $i,X1: $i] :
( v1_int_1(sK361(X0,X1))
| ( X0 = X1 )
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12466]) ).
tcf(c_2103,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v4_membered(X1)
| ~ v4_membered(X0)
| ~ r2_hidden(sK362(X0,X1),X1) ),
inference(cnf_transformation,[],[f12472]) ).
tcf(c_2104,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK362(X0,X1),X0)
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12471]) ).
tcf(c_2105,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_int_1(sK362(X0,X1))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12470]) ).
tcf(c_2107,plain,
! [X0: $i,X1: $i] :
( v4_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12473]) ).
tcf(c_2108,plain,
! [X0: $i] :
( ( X0 = k4_numbers )
| ~ v4_membered(X0)
| ~ r2_hidden(sK363(X0),X0) ),
inference(cnf_transformation,[],[f12475]) ).
tcf(c_2109,plain,
! [X0: $i] :
( v1_int_1(sK363(X0))
| ( X0 = k4_numbers )
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12474]) ).
tcf(c_2110,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_int_1(sK364(X0))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12477]) ).
tcf(c_2111,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK364(X0),X0)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12476]) ).
tcf(c_2112,plain,
! [X0: $i] :
( r1_tarski(X0,k4_numbers)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12478]) ).
tcf(c_2113,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v1_int_1(sK365(X0)) ),
inference(cnf_transformation,[],[f12481]) ).
tcf(c_2114,plain,
! [X0: $i] :
( v4_membered(X0)
| r2_hidden(sK365(X0),X0) ),
inference(cnf_transformation,[],[f12480]) ).
tcf(c_2115,plain,
! [X0: $i,X1: $i] :
( v1_int_1(X0)
| ~ v4_membered(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12479]) ).
tcf(c_2116,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_xboole_0(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f12486]) ).
tcf(c_2117,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_xboole_0(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f12485]) ).
tcf(c_2118,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_xboole_0(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f12484]) ).
tcf(c_2119,plain,
! [X0: $i,X1: $i] :
( v4_membered(k5_xboole_0(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f12483]) ).
tcf(c_2120,plain,
! [X0: $i,X1: $i] :
( v5_membered(k5_xboole_0(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f12482]) ).
tcf(c_2121,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_xboole_0(X0,X1))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12490]) ).
tcf(c_2122,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_xboole_0(X0,X1))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12489]) ).
tcf(c_2123,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_xboole_0(X0,X1))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12488]) ).
tcf(c_2124,plain,
! [X0: $i,X1: $i] :
( v4_membered(k5_xboole_0(X0,X1))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12487]) ).
tcf(c_2125,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f12495]) ).
tcf(c_2126,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f12494]) ).
tcf(c_2127,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f12493]) ).
tcf(c_2128,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f12492]) ).
tcf(c_2129,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f12491]) ).
tcf(c_2130,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12499]) ).
tcf(c_2131,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12498]) ).
tcf(c_2132,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12497]) ).
tcf(c_2133,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12496]) ).
tcf(c_2134,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f15018]) ).
tcf(c_2135,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f15019]) ).
tcf(c_2136,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f15020]) ).
tcf(c_2137,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f15021]) ).
tcf(c_2138,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f15022]) ).
tcf(c_2144,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f15028]) ).
tcf(c_2145,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f15029]) ).
tcf(c_2146,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f15030]) ).
tcf(c_2147,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f15031]) ).
tcf(c_2152,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f12522]) ).
tcf(c_2153,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_xboole_0(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f12521]) ).
tcf(c_2154,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_xboole_0(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f12520]) ).
tcf(c_2155,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_xboole_0(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f12519]) ).
tcf(c_2156,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_xboole_0(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f12518]) ).
tcf(c_2157,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X0,X1))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12526]) ).
tcf(c_2158,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_xboole_0(X0,X1))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12525]) ).
tcf(c_2159,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_xboole_0(X0,X1))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12524]) ).
tcf(c_2160,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_xboole_0(X0,X1))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12523]) ).
tcf(c_2161,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v5_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12531]) ).
tcf(c_2162,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v5_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12530]) ).
tcf(c_2163,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v5_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12529]) ).
tcf(c_2164,plain,
! [X0: $i,X1: $i] :
( v4_membered(X0)
| ~ v5_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12528]) ).
tcf(c_2166,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v4_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12535]) ).
tcf(c_2167,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v4_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12534]) ).
tcf(c_2168,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v4_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12533]) ).
tcf(c_2170,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,[],[f15036]) ).
tcf(c_2171,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,[],[f15037]) ).
tcf(c_2172,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,[],[f15038]) ).
tcf(c_2173,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,[],[f15039]) ).
tcf(c_2174,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f12543]) ).
tcf(c_2175,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f12542]) ).
tcf(c_2176,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f12541]) ).
tcf(c_2177,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_tarski(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f12540]) ).
tcf(c_2178,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f15040]) ).
tcf(c_2179,plain,
! [X0: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f15041]) ).
tcf(c_2180,plain,
! [X0: $i] :
( v3_membered(k2_tarski(X0,X0))
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f15042]) ).
tcf(c_2181,plain,
! [X0: $i] :
( v4_membered(k2_tarski(X0,X0))
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f15043]) ).
tcf(c_2182,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f12552]) ).
tcf(c_2183,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f12551]) ).
tcf(c_2184,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f12550]) ).
tcf(c_2185,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f12549]) ).
tcf(c_2186,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f12548]) ).
tcf(c_2187,plain,
v1_xboole_0(np__0),
inference(cnf_transformation,[],[f15044]) ).
tcf(c_2188,plain,
v1_membered(np__0),
inference(cnf_transformation,[],[f15045]) ).
tcf(c_2189,plain,
v2_membered(np__0),
inference(cnf_transformation,[],[f15046]) ).
tcf(c_2190,plain,
v3_membered(np__0),
inference(cnf_transformation,[],[f15047]) ).
tcf(c_2191,plain,
v4_membered(np__0),
inference(cnf_transformation,[],[f15048]) ).
tcf(c_2192,plain,
v5_membered(np__0),
inference(cnf_transformation,[],[f15049]) ).
tcf(c_2194,plain,
v1_membered(k4_numbers),
inference(cnf_transformation,[],[f12562]) ).
tcf(c_2195,plain,
v2_membered(k4_numbers),
inference(cnf_transformation,[],[f12561]) ).
tcf(c_2196,plain,
v3_membered(k4_numbers),
inference(cnf_transformation,[],[f12560]) ).
tcf(c_2197,plain,
v4_membered(k4_numbers),
inference(cnf_transformation,[],[f12559]) ).
tcf(c_2198,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers)) ),
inference(cnf_transformation,[],[f12568]) ).
tcf(c_2199,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers)) ),
inference(cnf_transformation,[],[f12567]) ).
tcf(c_2200,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers)) ),
inference(cnf_transformation,[],[f12566]) ).
tcf(c_2201,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers)) ),
inference(cnf_transformation,[],[f12565]) ).
tcf(c_2202,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers)) ),
inference(cnf_transformation,[],[f12564]) ).
tcf(c_2203,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k4_numbers)) ),
inference(cnf_transformation,[],[f12572]) ).
tcf(c_2204,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k4_numbers)) ),
inference(cnf_transformation,[],[f12571]) ).
tcf(c_2205,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k4_numbers)) ),
inference(cnf_transformation,[],[f12570]) ).
tcf(c_2206,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k4_numbers)) ),
inference(cnf_transformation,[],[f12569]) ).
tcf(c_2207,plain,
~ v1_xboole_0(sK366),
inference(cnf_transformation,[],[f12578]) ).
tcf(c_2208,plain,
v1_membered(sK366),
inference(cnf_transformation,[],[f12577]) ).
tcf(c_2209,plain,
v2_membered(sK366),
inference(cnf_transformation,[],[f12576]) ).
tcf(c_2210,plain,
v3_membered(sK366),
inference(cnf_transformation,[],[f12575]) ).
tcf(c_2211,plain,
v4_membered(sK366),
inference(cnf_transformation,[],[f12574]) ).
tcf(c_2212,plain,
v5_membered(sK366),
inference(cnf_transformation,[],[f12573]) ).
tcf(c_2213,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f12579]) ).
tcf(c_2214,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f12580]) ).
tcf(c_2215,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12581]) ).
tcf(c_2216,plain,
! [X0: $i] :
( r1_tarski(X0,k3_numbers)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f12582]) ).
tcf(c_2217,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_xboole_0(X0,X1))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f12585]) ).
tcf(c_2218,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_xboole_0(X0,X1))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f12584]) ).
tcf(c_2219,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_xboole_0(X0,X1))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f12583]) ).
tcf(c_2221,plain,
v1_membered(k3_numbers),
inference(cnf_transformation,[],[f12588]) ).
tcf(c_2222,plain,
v2_membered(k3_numbers),
inference(cnf_transformation,[],[f12587]) ).
tcf(c_2223,plain,
v3_membered(k3_numbers),
inference(cnf_transformation,[],[f12586]) ).
tcf(c_2224,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k3_numbers)) ),
inference(cnf_transformation,[],[f12592]) ).
tcf(c_2225,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k3_numbers)) ),
inference(cnf_transformation,[],[f12591]) ).
tcf(c_2226,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k3_numbers)) ),
inference(cnf_transformation,[],[f12590]) ).
tcf(c_2227,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f12593]) ).
tcf(c_2228,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK367(X0,X1),X0)
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12597]) ).
tcf(c_2229,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK367(X0,X1),X1)
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12596]) ).
tcf(c_2230,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v1_xreal_0(sK367(X0,X1))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12595]) ).
tcf(c_2232,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v2_membered(X1)
| ~ v2_membered(X0)
| ~ r2_hidden(sK368(X0,X1),X1)
| ~ r2_hidden(sK368(X0,X1),X0) ),
inference(cnf_transformation,[],[f12602]) ).
tcf(c_2233,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK368(X0,X1),X1)
| r2_hidden(sK368(X0,X1),X0)
| ( X0 = X1 )
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12601]) ).
tcf(c_2234,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(sK368(X0,X1))
| ( X0 = X1 )
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12600]) ).
tcf(c_2237,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v2_membered(X1)
| ~ v2_membered(X0)
| ~ r2_hidden(sK369(X0,X1),X1) ),
inference(cnf_transformation,[],[f12606]) ).
tcf(c_2238,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK369(X0,X1),X0)
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12605]) ).
tcf(c_2239,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_xreal_0(sK369(X0,X1))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12604]) ).
tcf(c_2241,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12607]) ).
tcf(c_2242,plain,
! [X0: $i] :
( ( X0 = k1_numbers )
| ~ v2_membered(X0)
| ~ r2_hidden(sK370(X0),X0) ),
inference(cnf_transformation,[],[f12609]) ).
tcf(c_2243,plain,
! [X0: $i] :
( v1_xreal_0(sK370(X0))
| ( X0 = k1_numbers )
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12608]) ).
tcf(c_2244,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK371(X0))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12611]) ).
tcf(c_2245,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK371(X0),X0)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12610]) ).
tcf(c_2246,plain,
! [X0: $i] :
( r1_tarski(X0,k1_numbers)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12612]) ).
tcf(c_2247,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v1_xreal_0(sK372(X0)) ),
inference(cnf_transformation,[],[f12615]) ).
tcf(c_2248,plain,
! [X0: $i] :
( v2_membered(X0)
| r2_hidden(sK372(X0),X0) ),
inference(cnf_transformation,[],[f12614]) ).
tcf(c_2249,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12613]) ).
tcf(c_2250,plain,
! [X0: $i] : ~ r2_hidden(sK373(X0),X0),
inference(cnf_transformation,[],[f12617]) ).
tcf(c_2251,plain,
! [X0: $i] : v3_ordinal1(sK373(X0)),
inference(cnf_transformation,[],[f12616]) ).
tcf(c_2252,plain,
! [X0: $i] :
( ~ v3_ordinal1(sK374(X0))
| ~ r2_hidden(sK374(X0),X0) ),
inference(cnf_transformation,[],[f12619]) ).
tcf(c_2253,plain,
! [X0: $i] :
( v3_ordinal1(sK374(X0))
| r2_hidden(sK374(X0),X0) ),
inference(cnf_transformation,[],[f12618]) ).
tcf(c_2254,plain,
! [X0: $i] :
( r1_tarski(X0,sK376(X0))
| ~ v3_ordinal1(sK375(X0)) ),
inference(cnf_transformation,[],[f12623]) ).
tcf(c_2255,plain,
! [X0: $i] :
( v3_ordinal1(sK376(X0))
| ~ v3_ordinal1(sK375(X0)) ),
inference(cnf_transformation,[],[f12622]) ).
tcf(c_2256,plain,
! [X0: $i] :
( r2_hidden(sK375(X0),X0)
| r1_tarski(X0,sK376(X0)) ),
inference(cnf_transformation,[],[f12621]) ).
tcf(c_2257,plain,
! [X0: $i] :
( v3_ordinal1(sK376(X0))
| r2_hidden(sK375(X0),X0) ),
inference(cnf_transformation,[],[f12620]) ).
tcf(c_2258,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v3_ordinal1(sK377(X0))
| ~ r1_tarski(sK377(X0),X0) ),
inference(cnf_transformation,[],[f12625]) ).
tcf(c_2259,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| r2_hidden(sK377(X0),X0) ),
inference(cnf_transformation,[],[f12624]) ).
tcf(c_2260,plain,
v3_ordinal1(np__0),
inference(cnf_transformation,[],[f15050]) ).
tcf(c_2261,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| r2_hidden(X0,X1)
| ( X0 = X1 )
| ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f12627]) ).
tcf(c_2262,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(X0)
| ~ v3_ordinal1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12628]) ).
tcf(c_2263,plain,
! [X0: $i] :
( ( k4_xboole_0(k2_xboole_0(X0,k2_tarski(X0,X0)),k2_tarski(X0,X0)) = X0 )
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f15051]) ).
tcf(c_2264,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_xboole_0(X0,k2_tarski(X0,X0)),X1)
| ~ v2_classes1(X1)
| ~ v3_ordinal1(X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15052]) ).
tcf(c_2265,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v2_classes1(X1)
| ~ v3_ordinal1(X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12630]) ).
tcf(c_2266,plain,
! [X0: $i] :
( r1_tarski(k2_xboole_0(X0,k2_tarski(X0,X0)),k1_zfmisc_1(X0))
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f15053]) ).
tcf(c_2267,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| ( k2_xboole_0(sK378(X0),k2_tarski(sK378(X0),sK378(X0))) = X0 )
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f15054]) ).
tcf(c_2268,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| v3_ordinal1(sK378(X0))
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f12634]) ).
tcf(c_2269,plain,
! [X0: $i] :
( ~ v3_ordinal1(X0)
| ~ v4_ordinal1(k2_xboole_0(X0,k2_tarski(X0,X0)))
| ~ v3_ordinal1(k2_xboole_0(X0,k2_tarski(X0,X0))) ),
inference(cnf_transformation,[],[f15566]) ).
tcf(c_2270,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| ~ v3_ordinal1(X0)
| ~ r2_hidden(k2_xboole_0(sK379(X0),k2_tarski(sK379(X0),sK379(X0))),X0) ),
inference(cnf_transformation,[],[f15056]) ).
tcf(c_2271,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| r2_hidden(sK379(X0),X0)
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f12638]) ).
tcf(c_2272,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| v3_ordinal1(sK379(X0))
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f12637]) ).
tcf(c_2273,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_xboole_0(X0,k2_tarski(X0,X0)),X1)
| ~ v4_ordinal1(X1)
| ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15057]) ).
tcf(c_2274,plain,
! [X0: $i] :
( v3_ordinal1(k2_xboole_0(X0,k2_tarski(X0,X0)))
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f15058]) ).
tcf(c_2275,plain,
! [X0: $i] : k2_xboole_0(X0,k2_tarski(X0,X0)) != X0,
inference(cnf_transformation,[],[f15059]) ).
tcf(c_2279,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k2_xboole_0(X0,k2_tarski(X0,X0)) != k2_xboole_0(X1,k2_tarski(X1,X1)) ) ),
inference(cnf_transformation,[],[f15063]) ).
tcf(c_2281,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(X0,k2_tarski(X0,X0))),
inference(cnf_transformation,[],[f15065]) ).
tcf(c_2282,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,[],[f12651]) ).
tcf(c_2283,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,[],[f12650]) ).
tcf(c_2284,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,[],[f12652]) ).
tcf(c_2285,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,[],[f12653]) ).
tcf(c_2286,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,[],[f12654]) ).
tcf(c_2287,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,[],[f12655]) ).
tcf(c_2288,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,[],[f12656]) ).
tcf(c_2289,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,[],[f15568]) ).
tcf(c_2290,plain,
! [X0: $i] :
( v1_int_1(k2_xcmplx_0(X0,np__1))
| ~ v1_xreal_0(X0)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f12659]) ).
tcf(c_2291,plain,
! [X0: $i] :
( v1_int_1(k6_xcmplx_0(X0,np__1))
| ~ v1_xreal_0(X0)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f12658]) ).
tcf(c_2292,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,[],[f12662]) ).
tcf(c_2293,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,[],[f12661]) ).
tcf(c_2294,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,[],[f12660]) ).
tcf(c_2295,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k2_xcmplx_0(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f12665]) ).
tcf(c_2296,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(k2_xcmplx_0(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f12664]) ).
tcf(c_2297,plain,
! [X0: $i,X1: $i] :
( v1_int_1(k2_xcmplx_0(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f12663]) ).
tcf(c_2298,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X0)
| ~ v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f12670]) ).
tcf(c_2301,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X0)
| ~ v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f12667]) ).
tcf(c_2302,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X1)
| v3_xreal_0(k2_xcmplx_0(X1,X0))
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f12666]) ).
tcf(c_2303,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f12675]) ).
tcf(c_2306,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f12672]) ).
tcf(c_2307,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X1)
| v3_xreal_0(k2_xcmplx_0(X0,X1))
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f12671]) ).
tcf(c_2308,plain,
! [X0: $i,X1: $i] :
( v3_xreal_0(X0)
| ~ v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f12680]) ).
tcf(c_2311,plain,
! [X0: $i,X1: $i] :
( v3_xreal_0(X1)
| v2_xreal_0(k2_xcmplx_0(X1,X0))
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f12677]) ).
tcf(c_2312,plain,
! [X0: $i,X1: $i] :
( v3_xreal_0(X0)
| ~ v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v3_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f12676]) ).
tcf(c_2313,plain,
! [X0: $i,X1: $i] :
( v3_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f12685]) ).
tcf(c_2316,plain,
! [X0: $i,X1: $i] :
( v3_xreal_0(X1)
| v2_xreal_0(k2_xcmplx_0(X0,X1))
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f12682]) ).
tcf(c_2317,plain,
! [X0: $i,X1: $i] :
( v3_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v3_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f12681]) ).
tcf(c_2320,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f12686]) ).
tcf(c_2323,plain,
! [X0: $i,X1: $i] :
( v3_xreal_0(X1)
| v3_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v3_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f12689]) ).
tcf(c_2324,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k2_xcmplx_0(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f12693]) ).
tcf(c_2325,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(k2_xcmplx_0(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f12692]) ).
tcf(c_2326,plain,
! [X0: $i] : m2_finseq_1(sK380(X0),X0),
inference(cnf_transformation,[],[f12694]) ).
tcf(c_2327,plain,
! [X0: $i] : m2_finseq_1(np__0,X0),
inference(cnf_transformation,[],[f15066]) ).
tcf(c_2328,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,[],[f12696]) ).
tcf(c_2329,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,[],[f12697]) ).
tcf(c_2330,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_setfam_1(X1))
| ~ v5_membered(X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12698]) ).
tcf(c_2331,plain,
! [X0: $i] :
( v5_membered(k3_tarski(X0))
| ~ v5_membered(sK381(X0)) ),
inference(cnf_transformation,[],[f12700]) ).
tcf(c_2332,plain,
! [X0: $i] :
( v5_membered(k3_tarski(X0))
| r2_hidden(sK381(X0),X0) ),
inference(cnf_transformation,[],[f12699]) ).
tcf(c_2333,plain,
! [X0: $i,X1: $i] :
( v5_membered(X0)
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12701]) ).
tcf(c_2334,plain,
! [X0: $i] :
( r1_tarski(X0,k5_numbers)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f12702]) ).
tcf(c_2335,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,[],[f15067]) ).
tcf(c_2336,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,[],[f15068]) ).
tcf(c_2337,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,[],[f15069]) ).
tcf(c_2338,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,[],[f15070]) ).
tcf(c_2339,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X1,X2)),
inference(cnf_transformation,[],[f15071]) ).
tcf(c_2340,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X0),k2_enumset1(X0,X0,X1,X2)),
inference(cnf_transformation,[],[f15072]) ).
tcf(c_2342,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,[],[f15074]) ).
tcf(c_2343,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X2,X2,X1,X0),
inference(cnf_transformation,[],[f15075]) ).
tcf(c_2344,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X1,X1,X2,X0),
inference(cnf_transformation,[],[f15076]) ).
tcf(c_2345,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X1,X1,X0,X2),
inference(cnf_transformation,[],[f15077]) ).
tcf(c_2349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_xboole_0(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3)) = k2_enumset1(X0,X1,X2,X3),
inference(cnf_transformation,[],[f15081]) ).
tcf(c_2350,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_tarski(X0,X1),k2_tarski(X2,X2)) = k2_enumset1(X0,X0,X1,X2),
inference(cnf_transformation,[],[f15082]) ).
tcf(c_2352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_enumset1(X0,X0,X1,X2) = X3 )
| ~ r2_hidden(sK382(X0,X1,X2,X3),X3)
| ( sK382(X0,X1,X2,X3) != X0 ) ),
inference(cnf_transformation,[],[f15084]) ).
tcf(c_2353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_enumset1(X0,X0,X1,X2) = X3 )
| ~ r2_hidden(sK382(X0,X1,X2,X3),X3)
| ( sK382(X0,X1,X2,X3) != X1 ) ),
inference(cnf_transformation,[],[f15085]) ).
tcf(c_2354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_enumset1(X0,X0,X1,X2) = X3 )
| ~ r2_hidden(sK382(X0,X1,X2,X3),X3)
| ( sK382(X0,X1,X2,X3) != X2 ) ),
inference(cnf_transformation,[],[f15086]) ).
tcf(c_2355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK382(X0,X1,X2,X3),X3)
| ( sK382(X0,X1,X2,X3) = X2 )
| ( sK382(X0,X1,X2,X3) = X1 )
| ( sK382(X0,X1,X2,X3) = X0 )
| ( k2_enumset1(X0,X0,X1,X2) = X3 ) ),
inference(cnf_transformation,[],[f15087]) ).
tcf(c_2359,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,[],[f15575]) ).
tcf(c_2360,plain,
v1_int_1(sK383),
inference(cnf_transformation,[],[f12730]) ).
tcf(c_2361,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ r2_hidden(X0,k1_numbers) ),
inference(cnf_transformation,[],[f12732]) ).
tcf(c_2362,plain,
! [X0: $i] :
( r2_hidden(X0,k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f12731]) ).
tcf(c_2363,plain,
l1_rlvect_1(sK384),
inference(cnf_transformation,[],[f12733]) ).
tcf(c_2364,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,[],[f15092]) ).
tcf(c_2365,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,[],[f15093]) ).
tcf(c_2366,plain,
! [X0: $i] :
( v1_finset_1(X0)
| r2_wellord2(k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f12737]) ).
tcf(c_2367,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ( k1_card_1(k2_zfmisc_1(X0,X0)) = k1_card_1(X0) ) ),
inference(cnf_transformation,[],[f12736]) ).
tcf(c_2368,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| r2_wellord2(k2_xboole_0(X1,X0),X1)
| ~ r2_hidden(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f12741]) ).
tcf(c_2369,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ( k1_card_1(k2_xboole_0(X1,X0)) = k1_card_1(X1) )
| ~ r2_hidden(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f12740]) ).
tcf(c_2370,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| r2_wellord2(k2_xboole_0(X1,X0),X1)
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f12739]) ).
tcf(c_2371,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ( k1_card_1(k2_xboole_0(X1,X0)) = k1_card_1(X1) )
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f12738]) ).
tcf(c_2372,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| r2_wellord2(k2_xboole_0(X1,X0),X1)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f12743]) ).
tcf(c_2373,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ( k1_card_1(k2_xboole_0(X1,X0)) = k1_card_1(X1) )
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f12742]) ).
tcf(c_2374,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| r2_wellord2(k2_xboole_0(X0,X1),X0)
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f12747]) ).
tcf(c_2375,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ( k1_card_1(k2_xboole_0(X0,X1)) = k1_card_1(X0) )
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f12746]) ).
tcf(c_2376,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| r2_wellord2(k2_xboole_0(X1,X0),X1)
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f12745]) ).
tcf(c_2377,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ( k1_card_1(k2_xboole_0(X1,X0)) = k1_card_1(X1) )
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f12744]) ).
tcf(c_2378,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,[],[f12748]) ).
tcf(c_2379,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,[],[f12750]) ).
tcf(c_2380,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,[],[f12749]) ).
tcf(c_2381,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,[],[f12752]) ).
tcf(c_2382,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,[],[f12751]) ).
tcf(c_2383,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,[],[f12754]) ).
tcf(c_2384,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,[],[f12753]) ).
tcf(c_2385,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,[],[f12756]) ).
tcf(c_2386,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,[],[f12755]) ).
tcf(c_2387,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(k1_funct_2(k2_xboole_0(X0,X1),X2),k2_zfmisc_1(k1_funct_2(X0,X2),k1_funct_2(X1,X2)))
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f12758]) ).
tcf(c_2388,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(k2_xboole_0(X0,X1),X2)) )
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f12757]) ).
tcf(c_2389,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,[],[f12760]) ).
tcf(c_2390,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,[],[f12759]) ).
tcf(c_2391,plain,
! [X0: $i,X1: $i] : r2_wellord2(X0,k1_funct_2(k2_tarski(X1,X1),X0)),
inference(cnf_transformation,[],[f15094]) ).
tcf(c_2392,plain,
! [X0: $i,X1: $i] : k1_card_1(k1_funct_2(k2_tarski(X0,X0),X1)) = k1_card_1(X1),
inference(cnf_transformation,[],[f15095]) ).
tcf(c_2393,plain,
! [X0: $i] :
( r2_wellord2(X0,sK385(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f12764]) ).
tcf(c_2394,plain,
! [X0: $i] :
( m2_subset_1(sK385(X0),k1_numbers,k5_numbers)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f12763]) ).
tcf(c_2395,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ~ v1_finset_1(X0)
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f12765]) ).
tcf(c_2396,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,[],[f12766]) ).
tcf(c_2397,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(cnf_transformation,[],[f15096]) ).
tcf(c_2398,plain,
! [X0: $i,X1: $i] :
( r2_wellord2(X0,k9_relat_1(X1,X0))
| ~ v2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12768]) ).
tcf(c_2399,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(cnf_transformation,[],[f15097]) ).
tcf(c_2400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_wellord2(k2_xboole_0(X0,X1),k2_xboole_0(X2,X3))
| ~ r2_wellord2(X1,X3)
| ~ r2_wellord2(X0,X2)
| ~ r1_xboole_0(X2,X3)
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f12770]) ).
tcf(c_2401,plain,
! [X0: $i,X1: $i] : r2_wellord2(k2_tarski(X0,X0),k2_tarski(X1,X1)),
inference(cnf_transformation,[],[f15576]) ).
tcf(c_2402,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(sK386(X0),sK386(X0)) = X0 )
| ~ r2_wellord2(X0,k2_tarski(X1,X1)) ),
inference(cnf_transformation,[],[f15099]) ).
tcf(c_2403,plain,
r2_wellord2(np__0,np__0),
inference(cnf_transformation,[],[f15577]) ).
tcf(c_2404,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_wellord2(X0,np__0) ),
inference(cnf_transformation,[],[f15101]) ).
tcf(c_2405,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,[],[f12776]) ).
tcf(c_2406,plain,
! [X0: $i,X1: $i] :
( ~ r2_wellord2(X0,X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(cnf_transformation,[],[f12775]) ).
tcf(c_2407,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,[],[f12778]) ).
tcf(c_2408,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,[],[f12777]) ).
tcf(c_2409,plain,
! [X0: $i] : ~ r2_wellord2(X0,k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f12779]) ).
tcf(c_2410,plain,
! [X0: $i,X1: $i] :
( r2_wellord2(X0,X1)
| ( k1_card_1(X0) != k1_card_1(X1) ) ),
inference(cnf_transformation,[],[f12781]) ).
tcf(c_2411,plain,
! [X0: $i,X1: $i] :
( ( k1_card_1(X0) = k1_card_1(X1) )
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f12780]) ).
tcf(c_2412,plain,
! [X0: $i,X1: $i] :
( ( k1_card_1(X0) = X1 )
| ~ v1_card_1(X1)
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f12783]) ).
tcf(c_2413,plain,
! [X0: $i] :
( r2_wellord2(X0,k1_card_1(X0))
| ~ v1_card_1(k1_card_1(X0)) ),
inference(cnf_transformation,[],[f15578]) ).
tcf(c_2414,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_card_1(X1)
| ~ v1_card_1(X0)
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f12785]) ).
tcf(c_2415,plain,
! [X0: $i] :
( r2_wellord2(X0,X0)
| ~ v1_card_1(X0) ),
inference(cnf_transformation,[],[f15748]) ).
tcf(c_2416,plain,
! [X0: $i] : v3_ordinal1(sK387(X0)),
inference(cnf_transformation,[],[f12787]) ).
tcf(c_2417,plain,
! [X0: $i] : r2_wellord2(X0,sK387(X0)),
inference(cnf_transformation,[],[f12786]) ).
tcf(c_2418,plain,
! [X0: $i] :
( v1_card_1(X0)
| ~ v3_ordinal1(X0)
| ~ r1_ordinal1(X0,sK388(X0)) ),
inference(cnf_transformation,[],[f15580]) ).
tcf(c_2419,plain,
! [X0: $i] :
( v1_card_1(X0)
| r2_wellord2(sK388(X0),X0)
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f15581]) ).
tcf(c_2420,plain,
! [X0: $i] :
( v1_card_1(X0)
| v3_ordinal1(sK388(X0))
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f15582]) ).
tcf(c_2421,plain,
! [X0: $i] :
( v3_ordinal1(sK389(X0))
| ~ v1_card_1(X0) ),
inference(cnf_transformation,[],[f12790]) ).
tcf(c_2422,plain,
! [X0: $i] :
( ( sK389(X0) = X0 )
| ~ v1_card_1(X0) ),
inference(cnf_transformation,[],[f12789]) ).
tcf(c_2423,plain,
! [X0: $i,X1: $i] :
( r1_ordinal1(sK389(X1),X0)
| ~ v1_card_1(X1)
| ~ v3_ordinal1(X0)
| ~ r2_wellord2(X0,sK389(X1)) ),
inference(cnf_transformation,[],[f12788]) ).
tcf(c_2424,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,[],[f12795]) ).
tcf(c_2425,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,[],[f12794]) ).
tcf(c_2426,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,[],[f12796]) ).
tcf(c_2427,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,[],[f15583]) ).
tcf(c_2428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k9_rlvect_1(X0,X2) = X1 )
| ~ sP20(X2,X1,X0)
| ~ sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f12799]) ).
tcf(c_2429,plain,
! [X0: $i,X1: $i] :
( sP19(X1,k9_rlvect_1(X1,X0),X0)
| ~ sP20(X0,k9_rlvect_1(X1,X0),X1) ),
inference(cnf_transformation,[],[f15584]) ).
tcf(c_2441,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| sP20(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,[],[f12811]) ).
tcf(c_2442,plain,
! [X0: $i,X1: $i] :
( r2_qc_lang2(X0,X1)
| ~ sP23(X1,X0)
| ~ sP22(X0,X1) ),
inference(cnf_transformation,[],[f12813]) ).
tcf(c_2443,plain,
! [X0: $i,X1: $i] :
( sP22(X0,X1)
| ~ sP23(X1,X0)
| ~ r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f12812]) ).
tcf(c_2444,plain,
! [X0: $i] :
( sP22(k1_funct_1(X0,np__1),k1_funct_1(X0,k3_finseq_1(X0)))
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_xreal_0(np__1,k3_finseq_1(X0))
| ~ sP21(k3_finseq_1(X0),X0)
| ~ m2_subset_1(k3_finseq_1(X0),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f15593]) ).
tcf(c_2445,plain,
! [X0: $i,X1: $i] :
( m2_subset_1(sK393(X0,X1),k1_numbers,k5_numbers)
| ~ sP22(X0,X1) ),
inference(cnf_transformation,[],[f12822]) ).
tcf(c_2446,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK394(X0,X1))
| ~ sP22(X0,X1) ),
inference(cnf_transformation,[],[f12821]) ).
tcf(c_2447,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK394(X0,X1))
| ~ sP22(X0,X1) ),
inference(cnf_transformation,[],[f12820]) ).
tcf(c_2448,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(sK394(X0,X1))
| ~ sP22(X0,X1) ),
inference(cnf_transformation,[],[f12819]) ).
tcf(c_2449,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(np__1,sK393(X0,X1))
| ~ sP22(X0,X1) ),
inference(cnf_transformation,[],[f12818]) ).
tcf(c_2450,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(sK394(X0,X1)) = sK393(X0,X1) )
| ~ sP22(X0,X1) ),
inference(cnf_transformation,[],[f12817]) ).
tcf(c_2451,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(sK394(X0,X1),np__1) = X0 )
| ~ sP22(X0,X1) ),
inference(cnf_transformation,[],[f12816]) ).
tcf(c_2452,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(sK394(X0,X1),sK393(X0,X1)) = X1 )
| ~ sP22(X0,X1) ),
inference(cnf_transformation,[],[f12815]) ).
tcf(c_2453,plain,
! [X0: $i,X1: $i] :
( sP21(sK393(X0,X1),sK394(X0,X1))
| ~ sP22(X0,X1) ),
inference(cnf_transformation,[],[f12814]) ).
tcf(c_2463,plain,
! [X0: $i,X1: $i] :
( sP23(X1,X0)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(cnf_transformation,[],[f12833]) ).
tcf(c_2464,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_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_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,[],[f12834]) ).
tcf(c_2465,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(k7_finseq_1(X0,k2_tarski(k2_tarski(k2_tarski(np__1,X1),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X1),k2_tarski(np__1,np__1)))),k1_nat_1(k3_finseq_1(X0),np__1)) = X1 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15102]) ).
tcf(c_2466,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_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f12836]) ).
tcf(c_2467,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK398(X0,X1,X2) = X0 )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f12839]) ).
tcf(c_2468,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_nat_1(k3_finseq_1(X2),sK398(X0,X1,X2)),k4_finseq_1(k7_finseq_1(X2,X1)))
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f12838]) ).
tcf(c_2469,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_subset_1(sK398(X0,X1,X2),k1_numbers,k5_numbers)
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f12837]) ).
tcf(c_2470,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k4_finseq_1(X1))
| r2_hidden(sK399(X1,X2,X0),k4_finseq_1(X2))
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ r2_hidden(X0,k4_finseq_1(k7_finseq_1(X1,X2))) ),
inference(cnf_transformation,[],[f12842]) ).
tcf(c_2471,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k4_finseq_1(X1))
| ( k1_nat_1(k3_finseq_1(X1),sK399(X1,X2,X0)) = X0 )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ r2_hidden(X0,k4_finseq_1(k7_finseq_1(X1,X2))) ),
inference(cnf_transformation,[],[f12841]) ).
tcf(c_2472,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k4_finseq_1(X1))
| m2_subset_1(sK399(X1,X2,X0),k1_numbers,k5_numbers)
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ r2_hidden(X0,k4_finseq_1(k7_finseq_1(X1,X2))) ),
inference(cnf_transformation,[],[f12840]) ).
tcf(c_2473,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_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_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,[],[f12843]) ).
tcf(c_2474,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12844]) ).
tcf(c_2475,plain,
! [X0: $i] :
( ( k2_xboole_0(X0,k2_tarski(X0,X0)) = k1_nat_1(X0,np__1) )
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f15103]) ).
tcf(c_2476,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k7_finseq_1(X0,X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12848]) ).
tcf(c_2477,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k7_finseq_1(X0,X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12847]) ).
tcf(c_2478,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(k7_finseq_1(X0,X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12846]) ).
tcf(c_2479,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_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_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,[],[f12849]) ).
tcf(c_2480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k7_finseq_1(X0,sK400(X0,X2)) = X2 )
| ~ v1_finseq_1(X3)
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_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,[],[f12853]) ).
tcf(c_2481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_relat_1(sK400(X0,X2))
| ~ v1_finseq_1(X3)
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_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,[],[f12852]) ).
tcf(c_2482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_1(sK400(X0,X2))
| ~ v1_finseq_1(X3)
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_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,[],[f12851]) ).
tcf(c_2483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_finseq_1(sK400(X0,X2))
| ~ v1_finseq_1(X3)
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_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,[],[f12850]) ).
tcf(c_2484,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_finseq_1(X0,X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ m2_finseq_1(k7_finseq_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f12855]) ).
tcf(c_2485,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_finseq_1(X1,X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ m2_finseq_1(k7_finseq_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f12854]) ).
tcf(c_2486,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k7_finseq_1(X0,X1) != np__0 ) ),
inference(cnf_transformation,[],[f15104]) ).
tcf(c_2487,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k7_finseq_1(X0,X1) != np__0 ) ),
inference(cnf_transformation,[],[f15105]) ).
tcf(c_2488,plain,
! [X0: $i] :
( ( k7_finseq_1(X0,np__0) = X0 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15106]) ).
tcf(c_2489,plain,
! [X0: $i] :
( ( k7_finseq_1(np__0,X0) = X0 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15107]) ).
tcf(c_2490,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k7_finseq_1(X0,X1) != k7_finseq_1(X2,X1) ) ),
inference(cnf_transformation,[],[f12861]) ).
tcf(c_2491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k7_finseq_1(X0,X1) != k7_finseq_1(X0,X2) ) ),
inference(cnf_transformation,[],[f12860]) ).
tcf(c_2492,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_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12862]) ).
tcf(c_2493,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12863]) ).
tcf(c_2494,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12864]) ).
tcf(c_2495,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12865]) ).
tcf(c_2496,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_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r1_xreal_0(X0,k3_finseq_1(k7_finseq_1(X1,X2))) ),
inference(cnf_transformation,[],[f12866]) ).
tcf(c_2497,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f12871]) ).
tcf(c_2500,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12868]) ).
tcf(c_2502,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f12876]) ).
tcf(c_2503,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12875]) ).
tcf(c_2504,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12874]) ).
tcf(c_2505,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12873]) ).
tcf(c_2506,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12872]) ).
tcf(c_2507,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) )
| ~ v3_rlvect_1(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,sK401(X1,X0,X2)) != k5_rlvect_1(X1,sK402(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f12881]) ).
tcf(c_2508,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| r2_hidden(sK401(X2,X0,X1),k4_finseq_1(X0))
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ v3_rlvect_1(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(cnf_transformation,[],[f12880]) ).
tcf(c_2509,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,sK401(X2,X0,X1)) = sK402(X2,X0,X1) )
| ~ v3_rlvect_1(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(cnf_transformation,[],[f12879]) ).
tcf(c_2510,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| m1_subset_1(sK402(X2,X0,X1),u1_struct_0(X2))
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ v3_rlvect_1(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(cnf_transformation,[],[f12878]) ).
tcf(c_2511,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| m2_subset_1(sK401(X2,X0,X1),k1_numbers,k5_numbers)
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ v3_rlvect_1(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(cnf_transformation,[],[f12877]) ).
tcf(c_2512,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(X0) = k3_finseq_1(X1) )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f12883]) ).
tcf(c_2513,plain,
! [X0: $i,X1: $i] :
( ( k4_finseq_1(X0) = k4_finseq_1(X1) )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f12882]) ).
tcf(c_2514,plain,
! [X0: $i] :
( ( k1_relat_1(X0) = k4_finseq_1(X0) )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12884]) ).
tcf(c_2515,plain,
! [X0: $i] :
( m1_subset_1(k4_finseq_1(X0),k1_zfmisc_1(k5_numbers))
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12885]) ).
tcf(c_2516,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))) = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( k4_finseq_1(X1) != k2_finseq_1(np__1) )
| ( k2_tarski(X0,X0) != k2_relat_1(X1) ) ),
inference(cnf_transformation,[],[f15108]) ).
tcf(c_2517,plain,
! [X0: $i] :
( ( k4_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) = k2_finseq_1(np__1) )
| ~ v1_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| ~ v1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| ~ v1_relat_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) ),
inference(cnf_transformation,[],[f15596]) ).
tcf(c_2519,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12889]) ).
tcf(c_2520,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12890]) ).
tcf(c_2521,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k4_finseq_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f15111]) ).
tcf(c_2522,plain,
( ( k4_finseq_1(np__0) = np__0 )
| ~ v1_finseq_1(np__0)
| ~ v1_funct_1(np__0)
| ~ v1_relat_1(np__0) ),
inference(cnf_transformation,[],[f15598]) ).
tcf(c_2523,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k4_finseq_1(X0) != k4_finseq_1(X1) )
| ( k1_funct_1(X0,sK403(X0,X1)) != k1_funct_1(X1,sK403(X0,X1)) ) ),
inference(cnf_transformation,[],[f12895]) ).
tcf(c_2524,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK403(X1,X0),k4_finseq_1(X1))
| ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k4_finseq_1(X0) != k4_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f12894]) ).
tcf(c_2525,plain,
! [X0: $i,X1: $i] :
( m2_subset_1(sK403(X1,X0),k1_numbers,k5_numbers)
| ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k4_finseq_1(X0) != k4_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f12893]) ).
tcf(c_2526,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK404(X0,X1),k4_finseq_1(X1))
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12898]) ).
tcf(c_2527,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k2_tarski(sK404(X0,X1),k1_funct_1(X1,sK404(X0,X1))),k2_tarski(sK404(X0,X1),sK404(X0,X1))) = X0 )
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15113]) ).
tcf(c_2528,plain,
! [X0: $i,X1: $i] :
( m2_subset_1(sK404(X0,X1),k1_numbers,k5_numbers)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12896]) ).
tcf(c_2529,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,[],[f12899]) ).
tcf(c_2530,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))
| ~ v1_funct_2(X5,X6,X2)
| ~ v1_funct_2(X3,X2,X0)
| ~ m2_relset_1(X5,X6,X2)
| ~ m2_relset_1(X3,X2,X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(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,sK405(X2,X4,X0,X1,X3)),k8_funct_2(X2,X0,X3,sK406(X2,X4,X0,X1,X3))) != k8_funct_2(X2,X0,X3,k2_binop_1(X2,X2,X2,X4,sK405(X2,X4,X0,X1,X3),sK406(X2,X4,X0,X1,X3))) ) ),
inference(cnf_transformation,[],[f12902]) ).
tcf(c_2531,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(sK406(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))
| ~ v1_funct_2(X5,X6,X0)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X5,X6,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(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,[],[f12901]) ).
tcf(c_2532,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(sK405(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))
| ~ v1_funct_2(X5,X6,X0)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X5,X6,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(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,[],[f12900]) ).
tcf(c_2533,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12904]) ).
tcf(c_2534,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12903]) ).
tcf(c_2535,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12906]) ).
tcf(c_2536,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12905]) ).
tcf(c_2537,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,[],[f12907]) ).
tcf(c_2538,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12909]) ).
tcf(c_2539,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f15599]) ).
tcf(c_2540,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f12910]) ).
tcf(c_2541,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_lattices(X0,k6_lattices(X0)) = k5_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f12911]) ).
tcf(c_2542,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,sK407(X0,X1)) != sK407(X0,X1) ) ),
inference(cnf_transformation,[],[f12913]) ).
tcf(c_2543,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK407(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,[],[f12912]) ).
tcf(c_2544,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,X1,X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v17_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,[],[f12915]) ).
tcf(c_2545,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)
| ~ v10_lattices(X0)
| ~ v17_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,[],[f12914]) ).
tcf(c_2546,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f12916]) ).
tcf(c_2547,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k4_lattices(X0,X1,X2) = k5_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v17_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,[],[f12918]) ).
tcf(c_2548,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,X1,k7_lattices(X0,X2))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v17_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,[],[f12917]) ).
tcf(c_2549,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,k7_lattices(X1,X0),X0) = k5_lattices(X1) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12919]) ).
tcf(c_2550,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,[],[f12920]) ).
tcf(c_2551,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,[],[f12921]) ).
tcf(c_2552,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,[],[f12922]) ).
tcf(c_2553,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,X5,X2),k7_setwiseo(X3,X1,X0,X4,X2)) = k7_setwiseo(X3,X1,X0,k5_setwiseo(X3,X5,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)
| ~ v1_setwiseo(X0,X1)
| ~ m1_subset_1(X5,k5_finsub_1(X3))
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12923]) ).
tcf(c_2554,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))
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12924]) ).
tcf(c_2555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k7_setwiseo(X1,X0,X4,X3,X5) = X2 )
| ~ sP26(X5,X4,X3,X2,X1,X0)
| ~ sP25(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f12926]) ).
tcf(c_2556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP25(X4,X3,k7_setwiseo(X3,X4,X1,X2,X0),X2,X1,X0)
| ~ sP26(X0,X1,X2,k7_setwiseo(X3,X4,X1,X2,X0),X3,X4) ),
inference(cnf_transformation,[],[f15600]) ).
tcf(c_2557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP25(X1,X0,k8_funct_2(k5_finsub_1(X0),X1,X2,X5),X5,X4,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k5_finsub_1(X0),X1)
| ~ m2_relset_1(X2,k5_finsub_1(X0),X1)
| ~ sP24(X3,X1,X0,X2,X4,X5)
| ( sK408(X1,X4,X2) != k1_funct_1(X2,np__0) )
| ( k8_funct_2(k5_finsub_1(X0),X1,X2,k2_setwiseo(X0,sK409(X1,X0,X3,X2))) != k8_funct_2(X0,X1,X3,sK409(X1,X0,X3,X2)) ) ),
inference(cnf_transformation,[],[f15601]) ).
tcf(c_2558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( m1_subset_1(sK409(X0,X4,X3,X2),X4)
| sP25(X0,X4,k8_funct_2(k5_finsub_1(X4),X0,X2,X5),X5,X1,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k5_finsub_1(X4),X0)
| ~ m2_relset_1(X2,k5_finsub_1(X4),X0)
| ~ sP24(X3,X0,X4,X2,X1,X5)
| ( sK408(X0,X1,X2) != k1_funct_1(X2,np__0) ) ),
inference(cnf_transformation,[],[f15602]) ).
tcf(c_2559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r3_binop_1(X1,sK408(X1,X4,X2),X4)
| sP25(X1,X0,k8_funct_2(k5_finsub_1(X0),X1,X2,X5),X5,X4,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k5_finsub_1(X0),X1)
| ~ m2_relset_1(X2,k5_finsub_1(X0),X1)
| ~ sP24(X3,X1,X0,X2,X4,X5)
| ( k8_funct_2(k5_finsub_1(X0),X1,X2,k2_setwiseo(X0,sK409(X1,X0,X3,X2))) != k8_funct_2(X0,X1,X3,sK409(X1,X0,X3,X2)) ) ),
inference(cnf_transformation,[],[f15603]) ).
tcf(c_2560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r3_binop_1(X1,sK408(X1,X4,X3),X4)
| m1_subset_1(sK409(X1,X2,X0,X3),X2)
| sP25(X1,X2,k8_funct_2(k5_finsub_1(X2),X1,X3,X5),X5,X4,X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k5_finsub_1(X2),X1)
| ~ m2_relset_1(X3,k5_finsub_1(X2),X1)
| ~ sP24(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f15604]) ).
tcf(c_2561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( m1_subset_1(sK408(X1,X4,X2),X1)
| sP25(X1,X0,k8_funct_2(k5_finsub_1(X0),X1,X2,X5),X5,X4,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k5_finsub_1(X0),X1)
| ~ m2_relset_1(X2,k5_finsub_1(X0),X1)
| ~ sP24(X3,X1,X0,X2,X4,X5)
| ( k8_funct_2(k5_finsub_1(X0),X1,X2,k2_setwiseo(X0,sK409(X1,X0,X3,X2))) != k8_funct_2(X0,X1,X3,sK409(X1,X0,X3,X2)) ) ),
inference(cnf_transformation,[],[f15605]) ).
tcf(c_2562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( m1_subset_1(sK408(X1,X4,X3),X1)
| m1_subset_1(sK409(X1,X2,X0,X3),X2)
| sP25(X1,X2,k8_funct_2(k5_finsub_1(X2),X1,X3,X5),X5,X4,X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k5_finsub_1(X2),X1)
| ~ m2_relset_1(X3,k5_finsub_1(X2),X1)
| ~ sP24(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f15606]) ).
tcf(c_2563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_funct_1(sK410(X0,X1,X2,X3,X4,X5))
| ~ sP25(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f12933]) ).
tcf(c_2564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_funct_2(sK410(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0)
| ~ sP25(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f12932]) ).
tcf(c_2565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( m2_relset_1(sK410(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0)
| ~ sP25(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f12931]) ).
tcf(c_2566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k8_funct_2(k5_finsub_1(X1),X0,sK410(X0,X1,X2,X3,X4,X5),X3) = X2 )
| ~ sP25(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f12930]) ).
tcf(c_2567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( k1_funct_1(sK410(X0,X1,X2,X3,X4,X5),np__0) = X6 )
| ~ m1_subset_1(X6,X0)
| ~ r3_binop_1(X0,X6,X4)
| ~ sP25(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f15116]) ).
tcf(c_2568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( k8_funct_2(k5_finsub_1(X1),X0,sK410(X0,X1,X2,X3,X4,X5),k2_setwiseo(X1,X6)) = k8_funct_2(X1,X0,X5,X6) )
| ~ m1_subset_1(X6,X1)
| ~ sP25(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f12928]) ).
tcf(c_2569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP24(X5,X0,X1,sK410(X0,X1,X2,X3,X4,X5),X4,X3)
| ~ sP25(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f12927]) ).
tcf(c_2577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| sP26(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))
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f15119]) ).
tcf(c_2578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| sP26(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))
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12947]) ).
tcf(c_2579,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12951]) ).
tcf(c_2580,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m1_subset_1(sK413(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_setwiseo(X0,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12950]) ).
tcf(c_2581,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r3_binop_1(X1,sK413(X1,X0),X0)
| ~ v1_funct_1(X0)
| ~ v1_setwiseo(X0,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12949]) ).
tcf(c_2582,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,[],[f15121]) ).
tcf(c_2583,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,[],[f15123]) ).
tcf(c_2584,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,[],[f15124]) ).
tcf(c_2585,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f12957]) ).
tcf(c_2586,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k3_lattices(X1,X0,X2) = k3_lattices(X1,X2,X0) )
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12958]) ).
tcf(c_2587,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(k3_lattices(X1,X0,X2),u1_struct_0(X1))
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12959]) ).
tcf(c_2588,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12961]) ).
tcf(c_2589,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12960]) ).
tcf(c_2590,plain,
l2_lattices(sK414),
inference(cnf_transformation,[],[f12962]) ).
tcf(c_2591,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f12963]) ).
tcf(c_2599,plain,
! [X0: $i] :
( v10_lattices(X0)
| v3_struct_0(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v7_lattices(X0)
| ~ v6_lattices(X0)
| ~ v4_lattices(X0)
| ~ v5_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12971]) ).
tcf(c_2600,plain,
! [X0: $i] :
( v4_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f12978]) ).
tcf(c_2601,plain,
! [X0: $i] :
( v5_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f12977]) ).
tcf(c_2602,plain,
! [X0: $i] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f12976]) ).
tcf(c_2603,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f12975]) ).
tcf(c_2604,plain,
! [X0: $i] :
( v8_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f12974]) ).
tcf(c_2605,plain,
! [X0: $i] :
( v9_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f12973]) ).
tcf(c_2606,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))
| ~ v1_funct_2(X5,X6,X2)
| ~ v1_funct_2(X3,X2,X0)
| ~ m2_relset_1(X5,X6,X2)
| ~ m2_relset_1(X3,X2,X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,k8_funct_2(X2,X0,X3,sK415(X2,X4,X0,X1,X3)),k8_funct_2(X2,X0,X3,sK416(X2,X4,X0,X1,X3))) != k8_funct_2(X2,X0,X3,k2_binop_1(X2,X2,X2,X4,sK415(X2,X4,X0,X1,X3),sK416(X2,X4,X0,X1,X3))) ) ),
inference(cnf_transformation,[],[f15125]) ).
tcf(c_2607,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(sK416(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))
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_2(X4,X5,X1)
| ~ m2_relset_1(X6,X1,X3)
| ~ m2_relset_1(X4,X5,X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f15126]) ).
tcf(c_2608,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(sK415(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))
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_2(X4,X5,X1)
| ~ m2_relset_1(X6,X1,X3)
| ~ m2_relset_1(X4,X5,X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f15127]) ).
tcf(c_2609,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))
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X4,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X6,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X6,k2_zfmisc_1(X1,X1),X1)
| ( k2_funct_2(X0,X1,X2,X3) != k2_funct_2(X0,X1,X4,X5) ) ),
inference(cnf_transformation,[],[f15128]) ).
tcf(c_2610,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))
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ( k2_funct_2(X0,X1,X2,X3) != k2_setwiseo(X1,X4) ) ),
inference(cnf_transformation,[],[f12984]) ).
tcf(c_2611,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))
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ( k8_funct_2(X0,X1,X2,sK417(X1,X0,X3,X2,X4)) != X4 ) ),
inference(cnf_transformation,[],[f15129]) ).
tcf(c_2612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| r2_hidden(sK417(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))
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f15130]) ).
tcf(c_2613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| m1_subset_1(sK417(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))
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f15131]) ).
tcf(c_2614,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(X5,k5_finsub_1(X3))
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f15132]) ).
tcf(c_2615,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))
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12989]) ).
tcf(c_2616,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,X5,X2),k7_setwiseo(X3,X1,X0,X4,X2)) = k7_setwiseo(X3,X1,X0,k5_setwiseo(X3,X5,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)
| ~ m1_subset_1(X5,k5_finsub_1(X3))
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f15133]) ).
tcf(c_2617,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))
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f15134]) ).
tcf(c_2618,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_binop_1(X1,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,sK418(X0,X1),sK418(X0,X1)) != sK418(X0,X1) ) ),
inference(cnf_transformation,[],[f12994]) ).
tcf(c_2619,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v3_binop_1(X0,X1)
| m1_subset_1(sK418(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12993]) ).
tcf(c_2620,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12992]) ).
tcf(c_2621,plain,
! [X0: $i,X1: $i] :
( v3_binop_1(X0,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ( k1_binop_1(X0,sK419(X1,X0),sK419(X1,X0)) != sK419(X1,X0) ) ),
inference(cnf_transformation,[],[f12997]) ).
tcf(c_2622,plain,
! [X0: $i,X1: $i] :
( v3_binop_1(X0,X1)
| m1_subset_1(sK419(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12996]) ).
tcf(c_2623,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12995]) ).
tcf(c_2624,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,[],[f12998]) ).
tcf(c_2625,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,sK420(X0,X1)) != sK420(X0,X1) ) ),
inference(cnf_transformation,[],[f13000]) ).
tcf(c_2626,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK420(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,[],[f12999]) ).
tcf(c_2627,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,[],[f13001]) ).
tcf(c_2628,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,[],[f15749]) ).
tcf(c_2629,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k3_lattices(X1,k7_lattices(X1,X0),X0) = k6_lattices(X1) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13003]) ).
tcf(c_2630,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,[],[f13004]) ).
tcf(c_2631,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,[],[f13005]) ).
tcf(c_2632,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,[],[f13006]) ).
tcf(c_2633,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)
| ~ v15_lattices(X2)
| ~ v3_filter_0(X1)
| ~ 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,[],[f13007]) ).
tcf(c_2634,plain,
! [X0: $i,X1: $i] :
( sP27(X0,X1)
| v3_struct_0(k8_filter_1(X0,X1))
| ~ sP28(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,[],[f13013]) ).
tcf(c_2635,plain,
! [X0: $i,X1: $i] :
( ~ sP28(X1,X0)
| ~ sP27(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f13012]) ).
tcf(c_2636,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP28(X1,X0)
| ~ sP27(X0,X1) ),
inference(cnf_transformation,[],[f13011]) ).
tcf(c_2637,plain,
! [X0: $i,X1: $i] :
( v15_lattices(k8_filter_1(X0,X1))
| ~ sP28(X1,X0)
| ~ sP27(X0,X1) ),
inference(cnf_transformation,[],[f13010]) ).
tcf(c_2638,plain,
! [X0: $i,X1: $i] :
( v16_lattices(k8_filter_1(X0,X1))
| ~ sP28(X1,X0)
| ~ sP27(X0,X1) ),
inference(cnf_transformation,[],[f13009]) ).
tcf(c_2639,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP28(X1,X0)
| ~ sP27(X0,X1) ),
inference(cnf_transformation,[],[f13008]) ).
tcf(c_2651,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP28(X1,X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f13025]) ).
tcf(c_2663,plain,
! [X0: $i] :
( sP29(X0)
| v3_struct_0(X0)
| ~ v6_group_1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f13037]) ).
tcf(c_2671,plain,
l3_lattices(sK421),
inference(cnf_transformation,[],[f13060]) ).
tcf(c_2672,plain,
~ v3_struct_0(sK421),
inference(cnf_transformation,[],[f13059]) ).
tcf(c_2673,plain,
v3_lattices(sK421),
inference(cnf_transformation,[],[f13058]) ).
tcf(c_2674,plain,
v4_lattices(sK421),
inference(cnf_transformation,[],[f13057]) ).
tcf(c_2675,plain,
v5_lattices(sK421),
inference(cnf_transformation,[],[f13056]) ).
tcf(c_2676,plain,
v6_lattices(sK421),
inference(cnf_transformation,[],[f13055]) ).
tcf(c_2677,plain,
v7_lattices(sK421),
inference(cnf_transformation,[],[f13054]) ).
tcf(c_2678,plain,
v8_lattices(sK421),
inference(cnf_transformation,[],[f13053]) ).
tcf(c_2679,plain,
v9_lattices(sK421),
inference(cnf_transformation,[],[f13052]) ).
tcf(c_2680,plain,
v10_lattices(sK421),
inference(cnf_transformation,[],[f13051]) ).
tcf(c_2681,plain,
v11_lattices(sK421),
inference(cnf_transformation,[],[f13050]) ).
tcf(c_2682,plain,
v13_lattices(sK421),
inference(cnf_transformation,[],[f13049]) ).
tcf(c_2683,plain,
v14_lattices(sK421),
inference(cnf_transformation,[],[f13048]) ).
tcf(c_2684,plain,
v15_lattices(sK421),
inference(cnf_transformation,[],[f13047]) ).
tcf(c_2685,plain,
v16_lattices(sK421),
inference(cnf_transformation,[],[f13046]) ).
tcf(c_2686,plain,
v17_lattices(sK421),
inference(cnf_transformation,[],[f13045]) ).
tcf(c_2687,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,[],[f13061]) ).
tcf(c_2688,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f13067]) ).
tcf(c_2689,plain,
! [X0: $i] :
( v13_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f13066]) ).
tcf(c_2690,plain,
! [X0: $i] :
( v14_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f13065]) ).
tcf(c_2691,plain,
! [X0: $i] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f13064]) ).
tcf(c_2692,plain,
! [X0: $i] :
( v16_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f13063]) ).
tcf(c_2693,plain,
l3_lattices(sK422),
inference(cnf_transformation,[],[f13082]) ).
tcf(c_2694,plain,
~ v3_struct_0(sK422),
inference(cnf_transformation,[],[f13081]) ).
tcf(c_2695,plain,
v3_lattices(sK422),
inference(cnf_transformation,[],[f13080]) ).
tcf(c_2696,plain,
v4_lattices(sK422),
inference(cnf_transformation,[],[f13079]) ).
tcf(c_2697,plain,
v5_lattices(sK422),
inference(cnf_transformation,[],[f13078]) ).
tcf(c_2698,plain,
v6_lattices(sK422),
inference(cnf_transformation,[],[f13077]) ).
tcf(c_2699,plain,
v7_lattices(sK422),
inference(cnf_transformation,[],[f13076]) ).
tcf(c_2700,plain,
v8_lattices(sK422),
inference(cnf_transformation,[],[f13075]) ).
tcf(c_2701,plain,
v9_lattices(sK422),
inference(cnf_transformation,[],[f13074]) ).
tcf(c_2702,plain,
v10_lattices(sK422),
inference(cnf_transformation,[],[f13073]) ).
tcf(c_2703,plain,
v13_lattices(sK422),
inference(cnf_transformation,[],[f13072]) ).
tcf(c_2704,plain,
v14_lattices(sK422),
inference(cnf_transformation,[],[f13071]) ).
tcf(c_2705,plain,
v15_lattices(sK422),
inference(cnf_transformation,[],[f13070]) ).
tcf(c_2706,plain,
v16_lattices(sK422),
inference(cnf_transformation,[],[f13069]) ).
tcf(c_2707,plain,
! [X0: $i] :
( v13_lattices(X0)
| v3_struct_0(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13084]) ).
tcf(c_2708,plain,
! [X0: $i] :
( v14_lattices(X0)
| v3_struct_0(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13083]) ).
tcf(c_2709,plain,
! [X0: $i] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13086]) ).
tcf(c_2710,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))
| ~ v1_funct_2(X5,X2,u1_struct_0(X0))
| ~ v1_funct_2(X3,X2,u1_struct_0(X0))
| ~ m2_relset_1(X5,X2,u1_struct_0(X0))
| ~ m2_relset_1(X3,X2,u1_struct_0(X0))
| ( k4_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X3,sK423(X2,X4,X0,X5,X3,X1))) != k8_funct_2(X2,u1_struct_0(X0),X5,sK423(X2,X4,X0,X5,X3,X1)) ) ),
inference(cnf_transformation,[],[f13090]) ).
tcf(c_2711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK423(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))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13089]) ).
tcf(c_2712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK423(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))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13088]) ).
tcf(c_2713,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f13091]) ).
tcf(c_2714,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,[],[f13092]) ).
tcf(c_2715,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,[],[f13093]) ).
tcf(c_2716,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,[],[f13094]) ).
tcf(c_2717,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,sK424(X0),sK425(X0)),k3_lattices(X0,sK425(X0),sK426(X0))),k3_lattices(X0,sK426(X0),sK424(X0))) != k3_lattices(X0,k3_lattices(X0,k4_lattices(X0,sK424(X0),sK425(X0)),k4_lattices(X0,sK425(X0),sK426(X0))),k4_lattices(X0,sK426(X0),sK424(X0))) ) ),
inference(cnf_transformation,[],[f13098]) ).
tcf(c_2718,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK426(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f13097]) ).
tcf(c_2719,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK425(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f13096]) ).
tcf(c_2720,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK424(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f13095]) ).
tcf(c_2721,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,[],[f13099]) ).
tcf(c_2722,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,[],[f13100]) ).
tcf(c_2724,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0) ),
inference(cnf_transformation,[],[f13106]) ).
tcf(c_2727,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,[],[f13103]) ).
tcf(c_2728,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,[],[f13102]) ).
tcf(c_2729,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k3_funct_4(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13108]) ).
tcf(c_2730,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k3_funct_4(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13107]) ).
tcf(c_2732,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(X0,X4),k2_zfmisc_1(k2_zfmisc_1(X1,X5),k2_zfmisc_1(X2,X6)),k2_zfmisc_1(X3,X7))
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X5,X6),X7)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X5,X6),X7)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f13110]) ).
tcf(c_2735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( v1_funct_2(k3_funct_4(X0,X4),k2_zfmisc_1(k2_zfmisc_1(X1,X5),k2_zfmisc_1(X2,X6)),k2_zfmisc_1(X3,X7))
| ( X7 = np__0 )
| ( X3 = np__0 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X5,X6),X7)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X5,X6),X7)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f15136]) ).
tcf(c_2737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( v1_funct_1(k3_funct_4(X0,X4))
| ~ 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,[],[f13116]) ).
tcf(c_2738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( m2_relset_1(k3_funct_4(X0,X4),k2_zfmisc_1(k2_zfmisc_1(X1,X5),k2_zfmisc_1(X2,X6)),k2_zfmisc_1(X3,X7))
| ~ 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,[],[f13115]) ).
tcf(c_2739,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_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X2)
| ( k2_zfmisc_1(X3,X4) != k1_relat_1(X5) )
| ( k2_zfmisc_1(X0,X1) != k1_relat_1(X2) ) ),
inference(cnf_transformation,[],[f13117]) ).
tcf(c_2740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r1_tarski(k1_relat_1(k3_funct_4(X3,X0)),k2_zfmisc_1(k2_zfmisc_1(X4,X1),k2_zfmisc_1(X5,X2)))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_relat_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,[],[f13118]) ).
tcf(c_2741,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13119]) ).
tcf(c_2742,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_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0))))) )
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_relat_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_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)))),k1_relat_1(k3_funct_4(X4,X5))) ),
inference(cnf_transformation,[],[f15138]) ).
tcf(c_2743,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_tarski(k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)))),k1_relat_1(k3_funct_4(X2,X5)))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X5)
| ~ v1_relat_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(cnf_transformation,[],[f15139]) ).
tcf(c_2744,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_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_relat_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_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)))),k1_relat_1(k3_funct_4(X4,X5))) ),
inference(cnf_transformation,[],[f15140]) ).
tcf(c_2745,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_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_relat_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_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)))),k1_relat_1(k3_funct_4(X4,X5))) ),
inference(cnf_transformation,[],[f15141]) ).
tcf(c_2754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_funct_4(X0,X1) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ sP30(X0,X1,X2)
| ( k2_tarski(k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(sK436(X0,X1,X2),sK437(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2)))),k1_funct_1(X1,k2_tarski(k2_tarski(sK438(X0,X1,X2),sK439(X0,X1,X2)),k2_tarski(sK438(X0,X1,X2),sK438(X0,X1,X2))))),k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(sK436(X0,X1,X2),sK437(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2)))),k1_funct_1(X0,k2_tarski(k2_tarski(sK436(X0,X1,X2),sK437(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2)))))) != k1_funct_1(X2,k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK436(X0,X1,X2),sK438(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2))),k2_tarski(k2_tarski(sK437(X0,X1,X2),sK439(X0,X1,X2)),k2_tarski(sK437(X0,X1,X2),sK437(X0,X1,X2)))),k2_tarski(k2_tarski(k2_tarski(sK436(X0,X1,X2),sK438(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2))),k2_tarski(k2_tarski(sK436(X0,X1,X2),sK438(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2)))))) ) ),
inference(cnf_transformation,[],[f15150]) ).
tcf(c_2755,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK436(X0,X1,X2),sK437(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2))),k1_relat_1(X0))
| ( k3_funct_4(X0,X1) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ sP30(X0,X1,X2) ),
inference(cnf_transformation,[],[f15151]) ).
tcf(c_2756,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK438(X0,X1,X2),sK439(X0,X1,X2)),k2_tarski(sK438(X0,X1,X2),sK438(X0,X1,X2))),k1_relat_1(X1))
| ( k3_funct_4(X0,X1) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ sP30(X0,X1,X2) ),
inference(cnf_transformation,[],[f15152]) ).
tcf(c_2757,plain,
! [X0: $i,X1: $i] :
( sP30(X0,X1,k3_funct_4(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(k3_funct_4(X0,X1))
| ~ v1_relat_1(k3_funct_4(X0,X1)) ),
inference(cnf_transformation,[],[f15608]) ).
tcf(c_2758,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_tarski(k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0))))) )
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(k3_funct_4(X2,X5))
| ~ v1_relat_1(k3_funct_4(X2,X5))
| ~ 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(cnf_transformation,[],[f15609]) ).
tcf(c_2760,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,[],[f13138]) ).
tcf(c_2761,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,[],[f13139]) ).
tcf(c_2762,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,[],[f15750]) ).
tcf(c_2763,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,[],[f13141]) ).
tcf(c_2764,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,[],[f15751]) ).
tcf(c_2765,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,[],[f13143]) ).
tcf(c_2766,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)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK440(X0,X1,X2),sK442(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK441(X0,X1,X2),sK442(X0,X1,X2))) != k2_binop_1(X0,X0,X0,X2,k2_binop_1(X0,X0,X0,X1,sK440(X0,X1,X2),sK441(X0,X1,X2)),sK442(X0,X1,X2)) ) ),
inference(cnf_transformation,[],[f13148]) ).
tcf(c_2767,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK442(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13147]) ).
tcf(c_2768,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK441(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13146]) ).
tcf(c_2769,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK440(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13145]) ).
tcf(c_2770,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,X3,X4),k2_binop_1(X1,X1,X1,X2,X5,X4)) = k2_binop_1(X1,X1,X1,X2,k2_binop_1(X1,X1,X1,X0,X3,X5),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)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13144]) ).
tcf(c_2771,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)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK443(X0,X1,X2),sK444(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK443(X0,X1,X2),sK445(X0,X1,X2))) != k2_binop_1(X0,X0,X0,X2,sK443(X0,X1,X2),k2_binop_1(X0,X0,X0,X1,sK444(X0,X1,X2),sK445(X0,X1,X2))) ) ),
inference(cnf_transformation,[],[f13153]) ).
tcf(c_2772,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK445(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13152]) ).
tcf(c_2773,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK444(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13151]) ).
tcf(c_2774,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK443(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13150]) ).
tcf(c_2775,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,X3,X5),k2_binop_1(X1,X1,X1,X2,X3,X4)) = k2_binop_1(X1,X1,X1,X2,X3,k2_binop_1(X1,X1,X1,X0,X5,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)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13149]) ).
tcf(c_2776,plain,
! [X0: $i,X1: $i,X2: $i] :
( r6_binop_1(X2,X1,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ( k1_binop_1(X0,k1_binop_1(X1,sK446(X2,X1,X0),sK448(X2,X1,X0)),k1_binop_1(X1,sK447(X2,X1,X0),sK448(X2,X1,X0))) != k1_binop_1(X1,k1_binop_1(X0,sK446(X2,X1,X0),sK447(X2,X1,X0)),sK448(X2,X1,X0)) )
| ( k1_binop_1(X0,k1_binop_1(X1,sK446(X2,X1,X0),sK447(X2,X1,X0)),k1_binop_1(X1,sK446(X2,X1,X0),sK448(X2,X1,X0))) != k1_binop_1(X1,sK446(X2,X1,X0),k1_binop_1(X0,sK447(X2,X1,X0),sK448(X2,X1,X0))) ) ),
inference(cnf_transformation,[],[f13159]) ).
tcf(c_2777,plain,
! [X0: $i,X1: $i,X2: $i] :
( r6_binop_1(X1,X0,X2)
| m1_subset_1(sK448(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13158]) ).
tcf(c_2778,plain,
! [X0: $i,X1: $i,X2: $i] :
( r6_binop_1(X1,X0,X2)
| m1_subset_1(sK447(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13157]) ).
tcf(c_2779,plain,
! [X0: $i,X1: $i,X2: $i] :
( r6_binop_1(X1,X0,X2)
| m1_subset_1(sK446(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13156]) ).
tcf(c_2780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k1_binop_1(X2,k1_binop_1(X0,X3,X5),k1_binop_1(X0,X3,X4)) = k1_binop_1(X0,X3,k1_binop_1(X2,X5,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)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13155]) ).
tcf(c_2781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k1_binop_1(X2,k1_binop_1(X0,X3,X4),k1_binop_1(X0,X5,X4)) = k1_binop_1(X0,k1_binop_1(X2,X3,X5),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)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13154]) ).
tcf(c_2782,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,[],[f13160]) ).
tcf(c_2783,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,[],[f13161]) ).
tcf(c_2784,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13162]) ).
tcf(c_2785,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ( k1_binop_1(X0,sK449(X1,X0,X2),X2) != sK449(X1,X0,X2) ) ),
inference(cnf_transformation,[],[f13165]) ).
tcf(c_2786,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,X2,X0)
| m1_subset_1(sK449(X1,X0,X2),X1)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13164]) ).
tcf(c_2788,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ( k1_binop_1(X0,X1,sK450(X2,X0,X1)) != sK450(X2,X0,X1) ) ),
inference(cnf_transformation,[],[f13168]) ).
tcf(c_2789,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,X2,X0)
| m1_subset_1(sK450(X1,X0,X2),X1)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13167]) ).
tcf(c_2791,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ( k1_binop_1(X0,X2,sK451(X1,X0,X2)) != sK451(X1,X0,X2) )
| ( k1_binop_1(X0,sK451(X1,X0,X2),X2) != sK451(X1,X0,X2) ) ),
inference(cnf_transformation,[],[f13172]) ).
tcf(c_2792,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,X2,X0)
| m1_subset_1(sK451(X1,X0,X2),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13171]) ).
tcf(c_2793,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13170]) ).
tcf(c_2794,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13169]) ).
tcf(c_2795,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| m2_filter_1(X1,X0,X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X1,sK452(X0,X2,X1),sK454(X0,X2,X1)),k2_binop_1(X0,X0,X0,X1,sK453(X0,X2,X1),sK455(X0,X2,X1))),X2) ),
inference(cnf_transformation,[],[f13180]) ).
tcf(c_2796,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| r2_hidden(k1_domain_1(X1,X1,sK452(X1,X2,X0),sK453(X1,X2,X0)),X2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13179]) ).
tcf(c_2797,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| r2_hidden(k1_domain_1(X1,X1,sK454(X1,X2,X0),sK455(X1,X2,X0)),X2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13178]) ).
tcf(c_2798,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| m1_subset_1(sK455(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13177]) ).
tcf(c_2799,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| m1_subset_1(sK454(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13176]) ).
tcf(c_2800,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| m1_subset_1(sK453(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13175]) ).
tcf(c_2801,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| m1_subset_1(sK452(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13174]) ).
tcf(c_2802,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_funct_1(X6)
| ~ 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)
| ~ v1_funct_2(X6,k2_zfmisc_1(X0,X0),X0)
| ~ 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(cnf_transformation,[],[f13173]) ).
tcf(c_2803,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,[],[f13181]) ).
tcf(c_2804,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,[],[f13182]) ).
tcf(c_2805,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,[],[f13183]) ).
tcf(c_2806,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k6_partfun1(X1),X0) = k6_partfun1(X0) )
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f15154]) ).
tcf(c_2807,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_relat_1(X0,k6_partfun1(X2)) = X0 )
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f15155]) ).
tcf(c_2808,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_relat_1(k6_partfun1(X1),X0) = X0 )
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f15156]) ).
tcf(c_2809,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k6_partfun1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f15157]) ).
tcf(c_2810,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(X0,k6_partfun1(X1)) = X0 )
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f15158]) ).
tcf(c_2811,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k6_partfun1(X1),X0) = X0 )
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f15159]) ).
tcf(c_2813,plain,
! [X0: $i] : r1_tarski(k6_partfun1(X0),k2_zfmisc_1(X0,X0)),
inference(cnf_transformation,[],[f15161]) ).
tcf(c_2814,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k6_partfun1(X1),X0) = X0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f15162]) ).
tcf(c_2815,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k5_relat_1(X0,X1) != k6_partfun1(k1_relat_1(X0)) ) ),
inference(cnf_transformation,[],[f15163]) ).
tcf(c_2816,plain,
! [X0: $i] : v2_funct_1(k6_partfun1(X0)),
inference(cnf_transformation,[],[f15164]) ).
tcf(c_2817,plain,
! [X0: $i,X1: $i] :
( ( k6_partfun1(k1_relat_1(X1)) = X0 )
| ~ v2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_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,[],[f15610]) ).
tcf(c_2818,plain,
! [X0: $i,X1: $i] :
( ( k6_partfun1(k1_relat_1(X1)) = X1 )
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k1_relat_1(X1) != k2_relat_1(X0) )
| ( k5_relat_1(X0,X1) != X0 ) ),
inference(cnf_transformation,[],[f15166]) ).
tcf(c_2819,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,[],[f15167]) ).
tcf(c_2822,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,k1_relat_1(k5_relat_1(X0,k6_partfun1(X2))))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f15170]) ).
tcf(c_2823,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X1,k6_partfun1(X2)))) ),
inference(cnf_transformation,[],[f15171]) ).
tcf(c_2824,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X1,X0),X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X1,k6_partfun1(X2)))) ),
inference(cnf_transformation,[],[f15172]) ).
tcf(c_2825,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k5_relat_1(k6_partfun1(X2),X1),X0) = k1_funct_1(X1,X0) )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k4_xboole_0(k1_relat_1(X1),k4_xboole_0(k1_relat_1(X1),X2))) ),
inference(cnf_transformation,[],[f15173]) ).
tcf(c_2826,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15174]) ).
tcf(c_2827,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(k6_partfun1(X1),X0) = X0 )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15175]) ).
tcf(c_2828,plain,
! [X0: $i] :
( ( k6_partfun1(k1_relat_1(X0)) = X0 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k1_funct_1(X0,sK456(k1_relat_1(X0),X0)) != sK456(k1_relat_1(X0),X0) ) ),
inference(cnf_transformation,[],[f15611]) ).
tcf(c_2829,plain,
! [X0: $i] :
( r2_hidden(sK456(k1_relat_1(X0),X0),k1_relat_1(X0))
| ( k6_partfun1(k1_relat_1(X0)) = X0 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15612]) ).
tcf(c_2832,plain,
! [X0: $i] : v1_relat_1(k6_partfun1(X0)),
inference(cnf_transformation,[],[f15180]) ).
tcf(c_2833,plain,
! [X0: $i] : v1_funct_1(k6_partfun1(X0)),
inference(cnf_transformation,[],[f15181]) ).
tcf(c_2834,plain,
! [X0: $i] : v1_relat_1(k6_partfun1(X0)),
inference(cnf_transformation,[],[f15182]) ).
tcf(c_2835,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(X0,k6_partfun1(X1)) = k8_relat_1(X1,X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15183]) ).
tcf(c_2836,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k6_partfun1(X1),X0) = k7_relat_1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15184]) ).
tcf(c_2837,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,[],[f15615]) ).
tcf(c_2838,plain,
k6_partfun1(np__0) = np__0,
inference(cnf_transformation,[],[f15186]) ).
tcf(c_2839,plain,
! [X0: $i] :
( ( k5_relat_1(X0,k6_partfun1(k2_relat_1(X0))) = X0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15187]) ).
tcf(c_2840,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,[],[f15188]) ).
tcf(c_2841,plain,
! [X0: $i] :
( ( k5_relat_1(k6_partfun1(k1_relat_1(X0)),X0) = X0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15189]) ).
tcf(c_2842,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,[],[f15190]) ).
tcf(c_2843,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_relat_1(X0,k6_partfun1(X1)),X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15191]) ).
tcf(c_2844,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_relat_1(k6_partfun1(X1),X0),X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15192]) ).
tcf(c_2845,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(cnf_transformation,[],[f15193]) ).
tcf(c_2846,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(cnf_transformation,[],[f15194]) ).
tcf(c_2847,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(cnf_transformation,[],[f15195]) ).
tcf(c_2848,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(cnf_transformation,[],[f15196]) ).
tcf(c_2849,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(cnf_transformation,[],[f15197]) ).
tcf(c_2850,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(cnf_transformation,[],[f15198]) ).
tcf(c_2851,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k6_partfun1(X0),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK457(X0,X1),sK457(X0,X1)),k2_tarski(sK457(X0,X1),sK457(X0,X1))),X1) ),
inference(cnf_transformation,[],[f15199]) ).
tcf(c_2852,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k6_partfun1(X1),X0)
| r2_hidden(sK457(X1,X0),X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15200]) ).
tcf(c_2853,plain,
! [X0: $i] : k1_relat_1(k6_partfun1(X0)) = X0,
inference(cnf_transformation,[],[f15201]) ).
tcf(c_2854,plain,
! [X0: $i] : k2_relat_1(k6_partfun1(X0)) = X0,
inference(cnf_transformation,[],[f15202]) ).
tcf(c_2855,plain,
! [X0: $i,X1: $i] :
( ( k6_partfun1(X0) = X1 )
| ~ v1_relat_1(X1)
| ~ r2_hidden(sK458(X0,X1),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK458(X0,X1),sK459(X0,X1)),k2_tarski(sK458(X0,X1),sK458(X0,X1))),X1)
| ( sK458(X0,X1) != sK459(X0,X1) ) ),
inference(cnf_transformation,[],[f15203]) ).
tcf(c_2856,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK458(X1,X0),X1)
| r2_hidden(k2_tarski(k2_tarski(sK458(X1,X0),sK459(X1,X0)),k2_tarski(sK458(X1,X0),sK458(X1,X0))),X0)
| ( k6_partfun1(X1) = X0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15204]) ).
tcf(c_2857,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK458(X1,X0),sK459(X1,X0)),k2_tarski(sK458(X1,X0),sK458(X1,X0))),X0)
| ( k6_partfun1(X1) = X0 )
| ( sK458(X1,X0) = sK459(X1,X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15205]) ).
tcf(c_2858,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,X0)),k6_partfun1(X1))
| ~ v1_relat_1(k6_partfun1(X1))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15617]) ).
tcf(c_2859,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_tarski(X0,X0)),k6_partfun1(X2)) ),
inference(cnf_transformation,[],[f15618]) ).
tcf(c_2860,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ v1_relat_1(k6_partfun1(X2))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k6_partfun1(X2)) ),
inference(cnf_transformation,[],[f15619]) ).
tcf(c_2861,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,[],[f15622]) ).
tcf(c_2862,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,[],[f15752]) ).
tcf(c_2865,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,[],[f15755]) ).
tcf(c_2866,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_relat_1(X0),k2_xboole_0(X1,X2))
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f13247]) ).
tcf(c_2867,plain,
! [X0: $i] :
( v1_relat_2(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k6_partfun1(k3_relat_1(X0)),X0) ),
inference(cnf_transformation,[],[f15209]) ).
tcf(c_2868,plain,
! [X0: $i] :
( r1_tarski(k6_partfun1(k3_relat_1(X0)),X0)
| ~ v1_relat_2(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15210]) ).
tcf(c_2869,plain,
! [X0: $i] :
( ( k3_relat_1(k4_relat_1(X0)) = k3_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13250]) ).
tcf(c_2870,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,[],[f15211]) ).
tcf(c_2871,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k3_relat_1(X0),k3_relat_1(X1)) = k3_relat_1(k2_xboole_0(X0,X1)) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13252]) ).
tcf(c_2872,plain,
! [X0: $i,X1: $i] :
( ( k3_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)))) = k2_tarski(X0,X1) )
| ~ v1_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)))) ),
inference(cnf_transformation,[],[f15624]) ).
tcf(c_2873,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,[],[f13254]) ).
tcf(c_2874,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(cnf_transformation,[],[f15213]) ).
tcf(c_2875,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(cnf_transformation,[],[f15214]) ).
tcf(c_2876,plain,
! [X0: $i] :
( r1_tarski(k1_relat_1(X0),k3_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13258]) ).
tcf(c_2877,plain,
! [X0: $i] :
( r1_tarski(k2_relat_1(X0),k3_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13257]) ).
tcf(c_2878,plain,
! [X0: $i] :
( ( k2_xboole_0(k1_relat_1(X0),k2_relat_1(X0)) = k3_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13259]) ).
tcf(c_2879,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,[],[f13261]) ).
tcf(c_2880,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,[],[f13260]) ).
tcf(c_2881,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)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13262]) ).
tcf(c_2882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( X2 = X3 )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v17_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,[],[f13263]) ).
tcf(c_2883,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)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13267]) ).
tcf(c_2884,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)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13266]) ).
tcf(c_2885,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k9_filter_0(X1,X0,k7_lattices(X1,X2)) = k7_lattices(X1,k9_filter_0(X1,X0,X2)) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13265]) ).
tcf(c_2886,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k9_filter_0(X1,k7_lattices(X1,X0),X2) = k7_lattices(X1,k9_filter_0(X1,X0,X2)) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13264]) ).
tcf(c_2887,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)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13268]) ).
tcf(c_2888,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,[],[f13269]) ).
tcf(c_2889,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,[],[f13270]) ).
tcf(c_2890,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,[],[f13271]) ).
tcf(c_2891,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,[],[f13272]) ).
tcf(c_2892,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m2_filter_1(sK460(X1,X0),X1,X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13273]) ).
tcf(c_2893,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,[],[f13276]) ).
tcf(c_2894,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,[],[f13275]) ).
tcf(c_2895,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,[],[f13274]) ).
tcf(c_2896,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,[],[f13277]) ).
tcf(c_2897,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,[],[f13278]) ).
tcf(c_2898,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,[],[f13279]) ).
tcf(c_2899,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,[],[f13280]) ).
tcf(c_2900,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_rlvect_1(X0)
| ( k1_binop_1(u1_rlvect_1(X0),sK461(X0),sK462(X0)) != k1_binop_1(u1_rlvect_1(X0),sK462(X0),sK461(X0)) ) ),
inference(cnf_transformation,[],[f13284]) ).
tcf(c_2901,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK462(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13283]) ).
tcf(c_2902,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK461(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13282]) ).
tcf(c_2903,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,[],[f13281]) ).
tcf(c_2904,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),sK463(X0),sK464(X0)),sK465(X0)) != k1_binop_1(u1_rlvect_1(X0),sK463(X0),k1_binop_1(u1_rlvect_1(X0),sK464(X0),sK465(X0))) ) ),
inference(cnf_transformation,[],[f13289]) ).
tcf(c_2905,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK465(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13288]) ).
tcf(c_2906,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK464(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13287]) ).
tcf(c_2907,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK463(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13286]) ).
tcf(c_2908,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),X3,X0),X2) = k1_binop_1(u1_rlvect_1(X1),X3,k1_binop_1(u1_rlvect_1(X1),X0,X2)) )
| ~ 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,[],[f13285]) ).
tcf(c_2909,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,X5,X4) = k1_binop_1(X0,X5,X4) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X2)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f13290]) ).
tcf(c_2910,plain,
! [X0: $i,X1: $i] :
( v2_binop_1(X0,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ( k1_binop_1(X0,k1_binop_1(X0,sK466(X1,X0),sK467(X1,X0)),sK468(X1,X0)) != k1_binop_1(X0,sK466(X1,X0),k1_binop_1(X0,sK467(X1,X0),sK468(X1,X0))) ) ),
inference(cnf_transformation,[],[f13295]) ).
tcf(c_2911,plain,
! [X0: $i,X1: $i] :
( v2_binop_1(X0,X1)
| m1_subset_1(sK468(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13294]) ).
tcf(c_2912,plain,
! [X0: $i,X1: $i] :
( v2_binop_1(X0,X1)
| m1_subset_1(sK467(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13293]) ).
tcf(c_2913,plain,
! [X0: $i,X1: $i] :
( v2_binop_1(X0,X1)
| m1_subset_1(sK466(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13292]) ).
tcf(c_2914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k1_binop_1(X0,k1_binop_1(X0,X2,X3),X4) = k1_binop_1(X0,X2,k1_binop_1(X0,X3,X4)) )
| ~ v1_funct_1(X0)
| ~ v2_binop_1(X0,X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13291]) ).
tcf(c_2915,plain,
! [X0: $i,X1: $i] :
( v1_binop_1(X0,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ( k1_binop_1(X0,sK469(X1,X0),sK470(X1,X0)) != k1_binop_1(X0,sK470(X1,X0),sK469(X1,X0)) ) ),
inference(cnf_transformation,[],[f13299]) ).
tcf(c_2916,plain,
! [X0: $i,X1: $i] :
( v1_binop_1(X0,X1)
| m1_subset_1(sK470(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13298]) ).
tcf(c_2917,plain,
! [X0: $i,X1: $i] :
( v1_binop_1(X0,X1)
| m1_subset_1(sK469(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13297]) ).
tcf(c_2918,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13296]) ).
tcf(c_2919,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15215]) ).
tcf(c_2920,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,[],[f13301]) ).
tcf(c_2921,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(cnf_transformation,[],[f15216]) ).
tcf(c_2922,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(cnf_transformation,[],[f15217]) ).
tcf(c_2923,plain,
! [X0: $i,X1: $i] :
( ( k6_eqrel_1(X1,k6_partfun1(X1),X0) = k2_tarski(X0,X0) )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15218]) ).
tcf(c_2924,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,[],[f13305]) ).
tcf(c_2925,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,[],[f13307]) ).
tcf(c_2926,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,[],[f13306]) ).
tcf(c_2927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X4),k2_tarski(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,[],[f15219]) ).
tcf(c_2928,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,k6_eqrel_1(X1,X0,sK471(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,[],[f13309]) ).
tcf(c_2929,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,[],[f13310]) ).
tcf(c_2930,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(cnf_transformation,[],[f15220]) ).
tcf(c_2931,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(cnf_transformation,[],[f15221]) ).
tcf(c_2932,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)
| ~ v1_funct_1(X0)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_group_6(X0,X1,X2)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13313]) ).
tcf(c_2942,plain,
! [X0: $i] :
( sP31(X0)
| v3_struct_0(X0)
| ~ v6_group_1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f13323]) ).
tcf(c_2952,plain,
! [X0: $i] :
( sP32(X0)
| v3_struct_0(X0)
| ~ v6_group_1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f13333]) ).
tcf(c_2953,plain,
! [X0: $i] :
( v6_group_1(X0)
| ~ l1_struct_0(X0)
| ~ v1_finset_1(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13335]) ).
tcf(c_2954,plain,
! [X0: $i] :
( v1_finset_1(u1_struct_0(X0))
| ~ v6_group_1(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f13334]) ).
tcf(c_2955,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)))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13336]) ).
tcf(c_2956,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,[],[f13337]) ).
tcf(c_2957,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))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK472(X1,X3,X0,X2,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK472(X1,X3,X0,X2,X4))) ),
inference(cnf_transformation,[],[f13340]) ).
tcf(c_2958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK472(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))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13339]) ).
tcf(c_2959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK472(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))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13338]) ).
tcf(c_2960,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))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK473(X1,X3,X0,X2,X4)),X4) ),
inference(cnf_transformation,[],[f13343]) ).
tcf(c_2961,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(sK473(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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13342]) ).
tcf(c_2962,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(sK473(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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13341]) ).
tcf(c_2963,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))
| ~ v1_funct_2(X4,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ m2_relset_1(X4,X0,u1_struct_0(X1))
| ~ m2_relset_1(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,[],[f13344]) ).
tcf(c_2964,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))
| ~ v1_funct_2(X4,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ m2_relset_1(X4,X0,u1_struct_0(X1))
| ~ m2_relset_1(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,[],[f15222]) ).
tcf(c_2965,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))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK474(X0,X1,X3,X2,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK474(X0,X1,X3,X2,X4))) ),
inference(cnf_transformation,[],[f15223]) ).
tcf(c_2966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK474(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))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f15224]) ).
tcf(c_2967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK474(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))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f15225]) ).
tcf(c_2968,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))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK475(X0,X3,X1,X4,X2)),X3) ),
inference(cnf_transformation,[],[f15226]) ).
tcf(c_2969,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(sK475(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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f15227]) ).
tcf(c_2970,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(sK475(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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f15228]) ).
tcf(c_2971,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))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k2_lattice2(X1,X0,X2,X3),X4) ),
inference(cnf_transformation,[],[f13352]) ).
tcf(c_2972,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))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ m2_relset_1(X2,X0,u1_struct_0(X1))
| ( k8_funct_2(X0,u1_struct_0(X1),X2,sK476(X1,X3,X0,X4,X2)) != X3 ) ),
inference(cnf_transformation,[],[f15229]) ).
tcf(c_2973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK476(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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f15230]) ).
tcf(c_2974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK476(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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f15231]) ).
tcf(c_2975,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))
| ~ v1_funct_2(X3,X2,u1_struct_0(X0))
| ~ m2_relset_1(X3,X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X3,X4)) ),
inference(cnf_transformation,[],[f13356]) ).
tcf(c_2976,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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13357]) ).
tcf(c_2977,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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13358]) ).
tcf(c_2978,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)))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13359]) ).
tcf(c_2979,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,[],[f13360]) ).
tcf(c_2980,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))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK477(X1,X3,X0,X2,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK477(X1,X3,X0,X2,X4))) ),
inference(cnf_transformation,[],[f13363]) ).
tcf(c_2981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK477(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))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13362]) ).
tcf(c_2982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK477(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))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13361]) ).
tcf(c_2983,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))
| ~ v1_funct_2(X3,X2,u1_struct_0(X0))
| ~ m2_relset_1(X3,X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X3,sK478(X2,X4,X0,X3,X1))) ),
inference(cnf_transformation,[],[f13366]) ).
tcf(c_2984,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(sK478(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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13365]) ).
tcf(c_2985,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(sK478(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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13364]) ).
tcf(c_2986,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))
| ~ v1_funct_2(X4,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ m2_relset_1(X4,X0,u1_struct_0(X1))
| ~ m2_relset_1(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,[],[f13367]) ).
tcf(c_2987,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))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK479(X0,X1,X3,X2,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK479(X0,X1,X3,X2,X4))) ),
inference(cnf_transformation,[],[f15232]) ).
tcf(c_2988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK479(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))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f15233]) ).
tcf(c_2989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK479(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))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f15234]) ).
tcf(c_2990,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))
| ~ v1_funct_2(X3,X2,u1_struct_0(X0))
| ~ m2_relset_1(X3,X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X3,sK480(X0,X1,X2,X4,X3))) ),
inference(cnf_transformation,[],[f15235]) ).
tcf(c_2991,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(sK480(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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f15236]) ).
tcf(c_2992,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(sK480(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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f15237]) ).
tcf(c_2993,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))
| ~ v1_funct_2(X4,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ m2_relset_1(X4,X0,u1_struct_0(X1))
| ~ m2_relset_1(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,[],[f15238]) ).
tcf(c_2994,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))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4)) ),
inference(cnf_transformation,[],[f13375]) ).
tcf(c_2995,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))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ m2_relset_1(X2,X0,u1_struct_0(X1))
| ( k8_funct_2(X0,u1_struct_0(X1),X2,sK481(X1,X3,X0,X4,X2)) != X3 ) ),
inference(cnf_transformation,[],[f15239]) ).
tcf(c_2996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK481(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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f15240]) ).
tcf(c_2997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK481(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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f15241]) ).
tcf(c_2998,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))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,X3),X4) ),
inference(cnf_transformation,[],[f13379]) ).
tcf(c_2999,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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13380]) ).
tcf(c_3000,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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13381]) ).
tcf(c_3001,plain,
! [X0: $i] :
( v3_realset2(X0)
| ~ l1_struct_0(X0)
| ~ v1_realset1(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13383]) ).
tcf(c_3002,plain,
! [X0: $i] :
( v1_realset1(u1_struct_0(X0))
| ~ v3_realset2(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f13382]) ).
tcf(c_3003,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X1)
| ( k2_tarski(X0,X0) = k5_realset1(X1,X0) )
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f15242]) ).
tcf(c_3004,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| r2_hidden(sK482(X1,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f13390]) ).
tcf(c_3005,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| r2_hidden(sK483(X1,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f13389]) ).
tcf(c_3006,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ( sK482(X0,X1) != sK483(X0,X1) ) ),
inference(cnf_transformation,[],[f13388]) ).
tcf(c_3007,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| m1_subset_1(sK483(X1,X0),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f13387]) ).
tcf(c_3008,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| m1_subset_1(sK482(X1,X0),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f13386]) ).
tcf(c_3010,plain,
! [X0: $i] :
( v1_realset1(X0)
| r2_hidden(sK484(X0),X0) ),
inference(cnf_transformation,[],[f13394]) ).
tcf(c_3011,plain,
! [X0: $i] :
( v1_realset1(X0)
| r2_hidden(sK485(X0),X0) ),
inference(cnf_transformation,[],[f13393]) ).
tcf(c_3012,plain,
! [X0: $i] :
( v1_realset1(X0)
| ( sK484(X0) != sK485(X0) ) ),
inference(cnf_transformation,[],[f13392]) ).
tcf(c_3013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ v1_realset1(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13391]) ).
tcf(c_3014,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_tarski(sK486(X0),sK486(X0))))
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f15243]) ).
tcf(c_3015,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK486(X0),X0)
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f13395]) ).
tcf(c_3016,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_tarski(sK487(X0),sK487(X0))))
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f15244]) ).
tcf(c_3017,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK487(X0),X0)
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f13397]) ).
tcf(c_3018,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_tarski(sK488(X0),sK488(X0))))
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f15245]) ).
tcf(c_3019,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k4_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(cnf_transformation,[],[f15246]) ).
tcf(c_3022,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_tarski(sK489(X0),sK489(X0)) = X0 )
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f15248]) ).
tcf(c_3025,plain,
! [X0: $i] : v1_realset1(k2_tarski(X0,X0)),
inference(cnf_transformation,[],[f15251]) ).
tcf(c_3026,plain,
! [X0: $i] :
( v1_realset1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f13407]) ).
tcf(c_3027,plain,
~ v1_xboole_0(sK490),
inference(cnf_transformation,[],[f13409]) ).
tcf(c_3028,plain,
~ v1_realset1(sK490),
inference(cnf_transformation,[],[f13408]) ).
tcf(c_3029,plain,
~ v1_xboole_0(sK491),
inference(cnf_transformation,[],[f13411]) ).
tcf(c_3030,plain,
v1_realset1(sK491),
inference(cnf_transformation,[],[f13410]) ).
tcf(c_3031,plain,
! [X0: $i,X1: $i] :
( m3_realset1(sK492(X1,X0),X1,X0)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f13412]) ).
tcf(c_3032,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ m3_realset1(X0,X1,X2) ),
inference(cnf_transformation,[],[f13415]) ).
tcf(c_3033,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,[],[f13414]) ).
tcf(c_3034,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,[],[f13413]) ).
tcf(c_3035,plain,
! [X0: $i,X1: $i,X2: $i] :
( m3_realset1(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ r2_hidden(k1_funct_1(X0,sK493(X1,X2,X0)),k4_xboole_0(X1,k2_tarski(X2,X2))) ),
inference(cnf_transformation,[],[f15252]) ).
tcf(c_3036,plain,
! [X0: $i,X1: $i,X2: $i] :
( m3_realset1(X0,X1,X2)
| r2_hidden(sK493(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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f15253]) ).
tcf(c_3037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k1_funct_1(X3,X0),k4_xboole_0(X1,k2_tarski(X2,X2)))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X2,X1)
| ~ m3_realset1(X3,X1,X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k2_tarski(X2,X2)),k4_xboole_0(X1,k2_tarski(X2,X2)))) ),
inference(cnf_transformation,[],[f15254]) ).
tcf(c_3038,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,[],[f13419]) ).
tcf(c_3039,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,[],[f13420]) ).
tcf(c_3040,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,[],[f13421]) ).
tcf(c_3041,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,[],[f13422]) ).
tcf(c_3042,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,[],[f13425]) ).
tcf(c_3043,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,[],[f13424]) ).
tcf(c_3044,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,[],[f13423]) ).
tcf(c_3045,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,[],[f13427]) ).
tcf(c_3046,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,[],[f13426]) ).
tcf(c_3048,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0) ),
inference(cnf_transformation,[],[f13433]) ).
tcf(c_3051,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,[],[f13430]) ).
tcf(c_3052,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,[],[f13429]) ).
tcf(c_3053,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f13436]) ).
tcf(c_3054,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,[],[f13435]) ).
tcf(c_3055,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,[],[f13434]) ).
tcf(c_3056,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,[],[f13437]) ).
tcf(c_3057,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,[],[f13438]) ).
tcf(c_3058,plain,
l1_lattices(sK494),
inference(cnf_transformation,[],[f13439]) ).
tcf(c_3059,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f13440]) ).
tcf(c_3060,plain,
! [X0: $i] :
( r1_tarski(X0,k2_numbers)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f13441]) ).
tcf(c_3062,plain,
v1_membered(k2_numbers),
inference(cnf_transformation,[],[f13442]) ).
tcf(c_3063,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_numbers)) ),
inference(cnf_transformation,[],[f13444]) ).
tcf(c_3064,plain,
k5_numbers != k2_numbers,
inference(cnf_transformation,[],[f13445]) ).
tcf(c_3065,plain,
k2_numbers != k4_numbers,
inference(cnf_transformation,[],[f13446]) ).
tcf(c_3066,plain,
k2_numbers != k3_numbers,
inference(cnf_transformation,[],[f13447]) ).
tcf(c_3067,plain,
k1_numbers != k2_numbers,
inference(cnf_transformation,[],[f13448]) ).
tcf(c_3068,plain,
r1_tarski(k5_numbers,k2_numbers),
inference(cnf_transformation,[],[f13449]) ).
tcf(c_3069,plain,
r1_tarski(k4_numbers,k2_numbers),
inference(cnf_transformation,[],[f13450]) ).
tcf(c_3070,plain,
r1_tarski(k3_numbers,k2_numbers),
inference(cnf_transformation,[],[f13451]) ).
tcf(c_3071,plain,
r1_tarski(k1_numbers,k2_numbers),
inference(cnf_transformation,[],[f13452]) ).
tcf(c_3072,plain,
~ v1_xboole_0(k2_numbers),
inference(cnf_transformation,[],[f13453]) ).
tcf(c_3073,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| r2_hidden(X0,X2)
| ~ v1_classes2(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13454]) ).
tcf(c_3074,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(k2_tarski(X0,X0),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15255]) ).
tcf(c_3075,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(np__0,X0)
| ~ v1_classes2(X0) ),
inference(cnf_transformation,[],[f15256]) ).
tcf(c_3077,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| v1_classes2(k2_xboole_0(X0,X1))
| ~ v1_classes2(X1)
| ~ v1_classes2(X0) ),
inference(cnf_transformation,[],[f13459]) ).
tcf(c_3078,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_classes2(X1)
| ~ v1_classes2(X0)
| ~ v1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(cnf_transformation,[],[f15257]) ).
tcf(c_3079,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| v1_classes2(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| ~ v1_classes2(X1)
| ~ v1_classes2(X0) ),
inference(cnf_transformation,[],[f15258]) ).
tcf(c_3080,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| r2_hidden(X0,X2)
| ~ v1_classes2(X2)
| ~ v1_classes2(X1)
| ~ v1_classes2(X0)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13461]) ).
tcf(c_3081,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| r2_hidden(X1,X0)
| r1_tarski(X0,X1)
| ~ v1_classes2(X1)
| ~ v1_classes2(X0) ),
inference(cnf_transformation,[],[f13462]) ).
tcf(c_3082,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| r2_hidden(X1,X0)
| r2_hidden(X0,X1)
| ( X0 = X1 )
| ~ v1_classes2(X1)
| ~ v1_classes2(X0) ),
inference(cnf_transformation,[],[f13463]) ).
tcf(c_3083,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK495(X0),X0)
| ~ v1_classes2(X0) ),
inference(cnf_transformation,[],[f13465]) ).
tcf(c_3084,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_classes2(X0)
| ~ v1_xboole_0(sK495(X0)) ),
inference(cnf_transformation,[],[f13464]) ).
tcf(c_3085,plain,
! [X0: $i] :
( v1_int_1(X0)
| ~ r2_hidden(X0,k4_numbers) ),
inference(cnf_transformation,[],[f13467]) ).
tcf(c_3086,plain,
! [X0: $i] :
( r2_hidden(X0,k4_numbers)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f13466]) ).
tcf(c_3087,plain,
! [X0: $i] :
( v1_int_1(X0)
| ~ m1_subset_1(X0,k4_numbers) ),
inference(cnf_transformation,[],[f13468]) ).
tcf(c_3088,plain,
k5_numbers != k4_numbers,
inference(cnf_transformation,[],[f13469]) ).
tcf(c_3089,plain,
k1_numbers != k4_numbers,
inference(cnf_transformation,[],[f13470]) ).
tcf(c_3090,plain,
k4_numbers != k3_numbers,
inference(cnf_transformation,[],[f13471]) ).
tcf(c_3091,plain,
r1_tarski(k5_numbers,k4_numbers),
inference(cnf_transformation,[],[f13472]) ).
tcf(c_3092,plain,
r1_tarski(k4_numbers,k1_numbers),
inference(cnf_transformation,[],[f13473]) ).
tcf(c_3093,plain,
r1_tarski(k4_numbers,k3_numbers),
inference(cnf_transformation,[],[f13474]) ).
tcf(c_3094,plain,
~ v1_xboole_0(k4_numbers),
inference(cnf_transformation,[],[f13475]) ).
tcf(c_3095,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r2_hidden(k2_xboole_0(X0,X2),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13479]) ).
tcf(c_3096,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r2_hidden(k4_xboole_0(X0,k4_xboole_0(X0,X2)),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15259]) ).
tcf(c_3097,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r2_hidden(k4_xboole_0(X0,X2),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13477]) ).
tcf(c_3098,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r2_hidden(k5_xboole_0(X0,X2),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13476]) ).
tcf(c_3099,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_xboole_0(X0,X1))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f13481]) ).
tcf(c_3100,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_xboole_0(X0,X1))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f13480]) ).
tcf(c_3101,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_xboole_0(X0,X1))
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f13482]) ).
tcf(c_3102,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| ~ r2_hidden(k5_xboole_0(sK496(X0),sK497(X0)),X0)
| ~ r2_hidden(k2_xboole_0(sK496(X0),sK497(X0)),X0) ),
inference(cnf_transformation,[],[f13485]) ).
tcf(c_3103,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| m1_subset_1(sK497(X0),X0) ),
inference(cnf_transformation,[],[f13484]) ).
tcf(c_3104,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| m1_subset_1(sK496(X0),X0) ),
inference(cnf_transformation,[],[f13483]) ).
tcf(c_3105,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| ~ r2_hidden(k5_xboole_0(sK498(X0),sK499(X0)),X0)
| ~ r2_hidden(k4_xboole_0(sK498(X0),k4_xboole_0(sK498(X0),sK499(X0))),X0) ),
inference(cnf_transformation,[],[f15260]) ).
tcf(c_3106,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| m1_subset_1(sK499(X0),X0) ),
inference(cnf_transformation,[],[f13487]) ).
tcf(c_3107,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| m1_subset_1(sK498(X0),X0) ),
inference(cnf_transformation,[],[f13486]) ).
tcf(c_3108,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| ~ r2_hidden(k4_xboole_0(sK500(X0),sK501(X0)),X0)
| ~ r2_hidden(k5_xboole_0(sK500(X0),sK501(X0)),X0) ),
inference(cnf_transformation,[],[f13491]) ).
tcf(c_3109,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| m1_subset_1(sK501(X0),X0) ),
inference(cnf_transformation,[],[f13490]) ).
tcf(c_3110,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| m1_subset_1(sK500(X0),X0) ),
inference(cnf_transformation,[],[f13489]) ).
tcf(c_3111,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,[],[f13492]) ).
tcf(c_3113,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k5_xboole_0(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f13494]) ).
tcf(c_3114,plain,
! [X0: $i,X1: $i] : 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,[],[f13495]) ).
tcf(c_3115,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k5_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) = k2_tarski(X0,X1) ) ),
inference(cnf_transformation,[],[f15261]) ).
tcf(c_3116,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,[],[f15262]) ).
tcf(c_3117,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,[],[f13498]) ).
tcf(c_3118,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k5_xboole_0(X1,X2))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| ~ r1_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(cnf_transformation,[],[f15263]) ).
tcf(c_3119,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X1,X2))
| ~ r1_tarski(X0,k5_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f13500]) ).
tcf(c_3120,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,[],[f15264]) ).
tcf(c_3121,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,[],[f15265]) ).
tcf(c_3122,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k4_xboole_0(X0,k2_xboole_0(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,[],[f15266]) ).
tcf(c_3123,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k4_xboole_0(X0,k2_xboole_0(X1,X2)),k4_xboole_0(X1,k2_xboole_0(X0,X2))) = k4_xboole_0(k5_xboole_0(X0,X1),X2),
inference(cnf_transformation,[],[f13506]) ).
tcf(c_3124,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k4_xboole_0(X1,X0)) = k2_xboole_0(X0,X1),
inference(cnf_transformation,[],[f13507]) ).
tcf(c_3125,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,[],[f13508]) ).
tcf(c_3126,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),k5_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f13509]) ).
tcf(c_3127,plain,
! [X0: $i,X1: $i] : k5_xboole_0(k5_xboole_0(X0,X1),k2_xboole_0(X0,X1)) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f15267]) ).
tcf(c_3129,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k5_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1))) = k2_xboole_0(X0,X1),
inference(cnf_transformation,[],[f15269]) ).
tcf(c_3130,plain,
! [X0: $i] : k5_xboole_0(X0,X0) = np__0,
inference(cnf_transformation,[],[f15270]) ).
tcf(c_3131,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,[],[f13514]) ).
tcf(c_3132,plain,
! [X0: $i] : k5_xboole_0(X0,np__0) = X0,
inference(cnf_transformation,[],[f15271]) ).
tcf(c_3133,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,X1) = k5_xboole_0(X1,X0),
inference(cnf_transformation,[],[f13516]) ).
tcf(c_3134,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK502(X0,X1,X2),X0)
| ( k5_xboole_0(X1,X2) = X0 )
| ~ r2_hidden(sK502(X0,X1,X2),X2)
| ~ r2_hidden(sK502(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f13520]) ).
tcf(c_3135,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK502(X2,X0,X1),X2)
| r2_hidden(sK502(X2,X0,X1),X1)
| r2_hidden(sK502(X2,X0,X1),X0)
| ( k5_xboole_0(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f13519]) ).
tcf(c_3136,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK502(X0,X1,X2),X1)
| ( k5_xboole_0(X1,X2) = X0 )
| ~ r2_hidden(sK502(X0,X1,X2),X2)
| ~ r2_hidden(sK502(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f13518]) ).
tcf(c_3137,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK502(X0,X1,X2),X2)
| ( k5_xboole_0(X1,X2) = X0 )
| ~ r2_hidden(sK502(X0,X1,X2),X1)
| ~ r2_hidden(sK502(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f13517]) ).
tcf(c_3138,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,[],[f13524]) ).
tcf(c_3139,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,[],[f13523]) ).
tcf(c_3140,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,[],[f13522]) ).
tcf(c_3141,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,[],[f13521]) ).
tcf(c_3142,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)) = k5_xboole_0(X0,X1),
inference(cnf_transformation,[],[f13525]) ).
tcf(c_3143,plain,
k5_numbers != k3_numbers,
inference(cnf_transformation,[],[f13526]) ).
tcf(c_3144,plain,
k1_numbers != k3_numbers,
inference(cnf_transformation,[],[f13527]) ).
tcf(c_3145,plain,
r1_tarski(k5_numbers,k3_numbers),
inference(cnf_transformation,[],[f13528]) ).
tcf(c_3146,plain,
r1_tarski(k3_numbers,k1_numbers),
inference(cnf_transformation,[],[f13529]) ).
tcf(c_3147,plain,
~ v1_xboole_0(k3_numbers),
inference(cnf_transformation,[],[f13530]) ).
tcf(c_3149,plain,
! [X0: $i] :
( v1_ordinal1(X0)
| ~ v1_classes2(X0) ),
inference(cnf_transformation,[],[f13532]) ).
tcf(c_3150,plain,
! [X0: $i] :
( v2_classes1(X0)
| ~ v1_classes2(X0) ),
inference(cnf_transformation,[],[f13531]) ).
tcf(c_3151,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k4_classes1(k1_card_1(X1)))
| ~ v1_ordinal1(X0)
| ~ v2_classes1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13534]) ).
tcf(c_3152,plain,
! [X0: $i] : v2_classes1(k4_classes1(k1_card_1(k1_classes1(X0)))),
inference(cnf_transformation,[],[f13535]) ).
tcf(c_3153,plain,
! [X0: $i] :
( v2_classes1(k4_classes1(k1_card_1(X0)))
| ~ v2_classes1(X0) ),
inference(cnf_transformation,[],[f13536]) ).
tcf(c_3154,plain,
! [X0: $i,X1: $i] :
( r2_wellord2(X0,k4_classes1(k1_card_1(X1)))
| r2_hidden(X0,k4_classes1(k1_card_1(X1)))
| ~ v2_classes1(X1)
| ~ r1_tarski(X0,k4_classes1(k1_card_1(X1))) ),
inference(cnf_transformation,[],[f13537]) ).
tcf(c_3155,plain,
! [X0: $i] :
( ( k1_card_1(k4_classes1(k1_card_1(X0))) = k1_card_1(X0) )
| ~ v2_classes1(X0) ),
inference(cnf_transformation,[],[f13538]) ).
tcf(c_3156,plain,
! [X0: $i] :
( ( k4_classes1(k1_card_1(X0)) = X0 )
| ~ v1_ordinal1(X0)
| ~ v2_classes1(X0) ),
inference(cnf_transformation,[],[f13539]) ).
tcf(c_3157,plain,
! [X0: $i] :
( r1_tarski(X0,k4_classes1(k1_card_1(X0)))
| ~ v1_ordinal1(X0)
| ~ v2_classes1(X0) ),
inference(cnf_transformation,[],[f13540]) ).
tcf(c_3158,plain,
! [X0: $i] :
( r1_tarski(k4_classes1(k1_card_1(X0)),X0)
| ~ v2_classes1(X0) ),
inference(cnf_transformation,[],[f13541]) ).
tcf(c_3159,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_funct_2(X0,X1),X1)
| ~ v1_ordinal1(X1)
| ~ v2_classes1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13544]) ).
tcf(c_3160,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_funct_2(X0,X1),X1)
| ~ v2_classes1(X1)
| ~ r2_hidden(X0,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13543]) ).
tcf(c_3161,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_funct_2(X0,X1),X1)
| ~ v2_classes1(X1)
| ~ r1_tarski(X0,X1)
| ~ r2_hidden(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f13542]) ).
tcf(c_3165,plain,
! [X0: $i] :
( v4_ordinal1(k1_card_1(X0))
| ~ v2_classes1(X0) ),
inference(cnf_transformation,[],[f13548]) ).
tcf(c_3166,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_card_1(X0)
| ~ v2_classes1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13549]) ).
tcf(c_3168,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ~ v2_classes1(X1)
| ~ r2_hidden(X0,k1_card_1(X1)) ),
inference(cnf_transformation,[],[f13551]) ).
tcf(c_3169,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_card_1(X0),X1)
| ~ v2_classes1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13552]) ).
tcf(c_3170,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_classes1(X0),X1)
| ~ v2_classes1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13553]) ).
tcf(c_3171,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0)),X1)
| ~ v2_classes1(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15275]) ).
tcf(c_3172,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(X0,X0),X1)
| ~ v2_classes1(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15276]) ).
tcf(c_3173,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(X0,X2),X1)
| ~ v2_classes1(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13555]) ).
tcf(c_3174,plain,
! [X0: $i] :
( v1_classes2(X0)
| ~ v1_ordinal1(X0)
| ~ v2_classes1(X0) ),
inference(cnf_transformation,[],[f13557]) ).
tcf(c_3175,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| v1_finset_1(X0)
| ~ v1_card_1(X0) ),
inference(cnf_transformation,[],[f13558]) ).
tcf(c_3177,plain,
! [X0: $i] : k1_card_1(k1_classes1(X0)) != np__0,
inference(cnf_transformation,[],[f15277]) ).
tcf(c_3178,plain,
! [X0: $i] : v4_ordinal1(k1_card_1(k1_classes1(X0))),
inference(cnf_transformation,[],[f13559]) ).
tcf(c_3179,plain,
! [X0: $i] :
( v3_ordinal1(sK503(X0))
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f13564]) ).
tcf(c_3180,plain,
! [X0: $i] :
( r2_hidden(X0,sK503(X0))
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f13563]) ).
tcf(c_3181,plain,
! [X0: $i] :
( v4_ordinal1(sK503(X0))
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f13562]) ).
tcf(c_3182,plain,
v4_ordinal1(np__0),
inference(cnf_transformation,[],[f15278]) ).
tcf(c_3183,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| ( k3_tarski(X0) != X0 ) ),
inference(cnf_transformation,[],[f13567]) ).
tcf(c_3184,plain,
! [X0: $i] :
( ( k3_tarski(X0) = X0 )
| ~ v4_ordinal1(X0) ),
inference(cnf_transformation,[],[f13566]) ).
tcf(c_3185,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_group_6(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(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,sK504(X1,X0,X2)),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,sK505(X1,X0,X2))) != k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,k1_group_1(X1,sK504(X1,X0,X2),sK505(X1,X0,X2))) ) ),
inference(cnf_transformation,[],[f13571]) ).
tcf(c_3186,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_group_6(X0,X1,X2)
| m1_subset_1(sK505(X1,X2,X0),u1_struct_0(X1))
| ~ v1_funct_1(X0)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13570]) ).
tcf(c_3187,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_group_6(X0,X1,X2)
| m1_subset_1(sK504(X1,X2,X0),u1_struct_0(X1))
| ~ v1_funct_1(X0)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13569]) ).
tcf(c_3188,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)) )
| ~ v1_funct_1(X0)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_group_6(X0,X1,X2)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13568]) ).
tcf(c_3189,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(k1_group_1(X1,X0,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13572]) ).
tcf(c_3190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,k6_group_1(X0,X3,X2),X1) = k1_group_1(X0,X1,k6_group_1(X0,X3,X2)) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_int_1(X3)
| ~ 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) != k1_group_1(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f13573]) ).
tcf(c_3191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,k6_group_1(X0,X3,X1),k6_group_1(X0,X4,X2)) = k1_group_1(X0,k6_group_1(X0,X4,X2),k6_group_1(X0,X3,X1)) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_int_1(X4)
| ~ l1_group_1(X0)
| ~ m2_subset_1(X3,k1_numbers,k5_numbers)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X2) != k1_group_1(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f13574]) ).
tcf(c_3192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,k6_group_1(X0,X3,X1),k6_group_1(X0,X4,X2)) = k1_group_1(X0,k6_group_1(X0,X4,X2),k6_group_1(X0,X3,X1)) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_int_1(X4)
| ~ v1_int_1(X3)
| ~ 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) != k1_group_1(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f13575]) ).
tcf(c_3193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,k6_group_1(X0,X3,X1),k6_group_1(X0,X3,X2)) = k6_group_1(X0,X3,k1_group_1(X0,X1,X2)) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_int_1(X3)
| ~ 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) != k1_group_1(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f13576]) ).
tcf(c_3194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,k6_group_1(X0,X3,X1),k6_group_1(X0,X3,X2)) = k6_group_1(X0,X3,k1_group_1(X0,X1,X2)) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m2_subset_1(X3,k1_numbers,k5_numbers)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X2) != k1_group_1(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f13577]) ).
tcf(c_3195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,k6_group_1(X0,X3,X1),k6_group_1(X0,X4,X2)) = k1_group_1(X0,k6_group_1(X0,X4,X2),k6_group_1(X0,X3,X1)) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ~ m2_subset_1(X3,k1_numbers,k5_numbers)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X2) != k1_group_1(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f13578]) ).
tcf(c_3196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,k6_group_1(X0,X3,X2),X1) = k1_group_1(X0,X1,k6_group_1(X0,X3,X2)) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m2_subset_1(X3,k1_numbers,k5_numbers)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X2) != k1_group_1(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f13579]) ).
tcf(c_3197,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK506(X1,X0,X2),u1_struct_0(X1))
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13581]) ).
tcf(c_3198,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,sK506(X1,X0,X2),X0) = X2 )
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13580]) ).
tcf(c_3199,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK507(X1,X0,X2),u1_struct_0(X1))
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13583]) ).
tcf(c_3200,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,X0,sK507(X1,X0,X2)) = X2 )
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13582]) ).
tcf(c_3201,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,[],[f13585]) ).
tcf(c_3202,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,[],[f13584]) ).
tcf(c_3203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( X2 = X3 )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_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))
| ( k1_group_1(X0,X1,X2) != k1_group_1(X0,X1,X3) ) ),
inference(cnf_transformation,[],[f13587]) ).
tcf(c_3204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( X1 = X3 )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_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))
| ( k1_group_1(X0,X1,X2) != k1_group_1(X0,X3,X2) ) ),
inference(cnf_transformation,[],[f13586]) ).
tcf(c_3205,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,sK508(X0,X1)) != sK508(X0,X1) )
| ( k1_group_1(X0,sK508(X0,X1),X1) != sK508(X0,X1) ) ),
inference(cnf_transformation,[],[f13589]) ).
tcf(c_3206,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK508(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,[],[f13588]) ).
tcf(c_3211,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP33(X0)
| v4_group_1(X0)
| v3_struct_0(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,X2,sK512(X0)) != sK513(X0) )
| ( k1_group_1(X0,sK512(X0),X1) != sK513(X0) ) ),
inference(cnf_transformation,[],[f13599]) ).
tcf(c_3212,plain,
! [X0: $i] :
( sP33(X0)
| v4_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK513(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13598]) ).
tcf(c_3213,plain,
! [X0: $i] :
( sP33(X0)
| v4_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK512(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13597]) ).
tcf(c_3214,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP33(X0)
| v3_group_1(X0)
| v3_struct_0(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,X2,sK512(X0)) != sK513(X0) )
| ( k1_group_1(X0,sK512(X0),X1) != sK513(X0) ) ),
inference(cnf_transformation,[],[f13596]) ).
tcf(c_3215,plain,
! [X0: $i] :
( sP33(X0)
| v3_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK513(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13595]) ).
tcf(c_3216,plain,
! [X0: $i] :
( sP33(X0)
| v3_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK512(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13594]) ).
tcf(c_3221,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP34(X0)
| v3_group_1(X0)
| v3_struct_0(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,X2,sK517(X0,X1)) != X1 )
| ( k1_group_1(X0,X1,sK517(X0,X1)) != sK517(X0,X1) )
| ( k1_group_1(X0,sK517(X0,X1),X2) != X1 )
| ( k1_group_1(X0,sK517(X0,X1),X1) != sK517(X0,X1) ) ),
inference(cnf_transformation,[],[f13610]) ).
tcf(c_3222,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP34(X0)
| v4_group_1(X0)
| v3_struct_0(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,X2,sK517(X0,X1)) != X1 )
| ( k1_group_1(X0,X1,sK517(X0,X1)) != sK517(X0,X1) )
| ( k1_group_1(X0,sK517(X0,X1),X2) != X1 )
| ( k1_group_1(X0,sK517(X0,X1),X1) != sK517(X0,X1) ) ),
inference(cnf_transformation,[],[f13609]) ).
tcf(c_3223,plain,
! [X0: $i,X1: $i] :
( sP34(X1)
| v3_group_1(X1)
| v3_struct_0(X1)
| m1_subset_1(sK517(X1,X0),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13606]) ).
tcf(c_3224,plain,
! [X0: $i,X1: $i] :
( sP34(X1)
| v4_group_1(X1)
| v3_struct_0(X1)
| m1_subset_1(sK517(X1,X0),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13605]) ).
tcf(c_3225,plain,
! [X0: $i] :
( v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ( k1_group_1(X0,k1_group_1(X0,sK518(X0),sK519(X0)),sK520(X0)) != k1_group_1(X0,sK518(X0),k1_group_1(X0,sK519(X0),sK520(X0))) ) ),
inference(cnf_transformation,[],[f13616]) ).
tcf(c_3226,plain,
! [X0: $i] :
( v4_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK520(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13615]) ).
tcf(c_3227,plain,
! [X0: $i] :
( v4_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK519(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13614]) ).
tcf(c_3228,plain,
! [X0: $i] :
( v4_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK518(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13613]) ).
tcf(c_3229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,k1_group_1(X1,X3,X0),X2) = k1_group_1(X1,X3,k1_group_1(X1,X0,X2)) )
| ~ v4_group_1(X1)
| ~ l1_group_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,[],[f13612]) ).
tcf(c_3230,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_group_1(X0)
| v3_struct_0(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,X2,sK521(X0,X1)) != X1 )
| ( k1_group_1(X0,X1,sK521(X0,X1)) != sK521(X0,X1) )
| ( k1_group_1(X0,sK521(X0,X1),X2) != X1 )
| ( k1_group_1(X0,sK521(X0,X1),X1) != sK521(X0,X1) ) ),
inference(cnf_transformation,[],[f13624]) ).
tcf(c_3231,plain,
! [X0: $i,X1: $i] :
( v3_group_1(X1)
| v3_struct_0(X1)
| m1_subset_1(sK521(X1,X0),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13623]) ).
tcf(c_3232,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK522(X0),u1_struct_0(X0))
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13622]) ).
tcf(c_3233,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,X0,sK522(X1)) = X0 )
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13621]) ).
tcf(c_3234,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,sK522(X1),X0) = X0 )
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13620]) ).
tcf(c_3235,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK523(X1,X0),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13619]) ).
tcf(c_3236,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,X0,sK523(X1,X0)) = sK522(X1) )
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13618]) ).
tcf(c_3237,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,sK523(X1,X0),X0) = sK522(X1) )
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13617]) ).
tcf(c_3238,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)
| ~ v1_funct_1(X0)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_group_6(X0,X1,X2)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13625]) ).
tcf(c_3239,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_funct_1(X0)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_group_6(X0,X1,X2)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13626]) ).
tcf(c_3240,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(k6_group_1(X1,X2,X0),u1_struct_0(X1))
| ~ 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,[],[f13627]) ).
tcf(c_3241,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,[],[f13628]) ).
tcf(c_3243,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k6_group_1(X1,np__1,X0) = X0 )
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13630]) ).
tcf(c_3244,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,[],[f13631]) ).
tcf(c_3245,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,[],[f13632]) ).
tcf(c_3246,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X1,X0)
| r1_xreal_0(X0,k6_xcmplx_0(X1,np__1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f13633]) ).
tcf(c_3247,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X1,X0)
| ( k6_xcmplx_0(X1,X0) = sK524(X0,X1) )
| ~ v1_int_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13636]) ).
tcf(c_3248,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X1,X0)
| r1_xreal_0(np__1,sK524(X0,X1))
| ~ v1_int_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13635]) ).
tcf(c_3249,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X1,X0)
| m2_subset_1(sK524(X0,X1),k1_numbers,k5_numbers)
| ~ v1_int_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13634]) ).
tcf(c_3250,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xreal_0(X2,k6_xcmplx_0(X1,np__1))
| r1_xreal_0(X0,k6_xcmplx_0(X1,np__1))
| ( X0 = X2 )
| ~ v1_xreal_0(X1)
| ~ v1_int_1(X2)
| ~ v1_int_1(X0)
| ~ r1_xreal_0(X2,X1)
| ~ r1_xreal_0(X0,X1) ),
inference(cnf_transformation,[],[f13637]) ).
tcf(c_3251,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k6_xcmplx_0(X1,X0),k5_numbers)
| ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| ~ r1_xreal_0(X0,X1) ),
inference(cnf_transformation,[],[f13638]) ).
tcf(c_3252,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k6_xcmplx_0(X0,X1))
| ~ m1_subset_1(X1,k5_numbers)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13641]) ).
tcf(c_3253,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(k6_xcmplx_0(X0,X1))
| ~ m1_subset_1(X1,k5_numbers)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13640]) ).
tcf(c_3254,plain,
! [X0: $i,X1: $i] :
( v1_int_1(k6_xcmplx_0(X0,X1))
| ~ m1_subset_1(X1,k5_numbers)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13639]) ).
tcf(c_3255,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k6_xcmplx_0(X1,X0))
| ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13644]) ).
tcf(c_3256,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(k6_xcmplx_0(X1,X0))
| ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13643]) ).
tcf(c_3257,plain,
! [X0: $i,X1: $i] :
( v1_int_1(k6_xcmplx_0(X1,X0))
| ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13642]) ).
tcf(c_3258,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k6_xcmplx_0(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f13647]) ).
tcf(c_3259,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(k6_xcmplx_0(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f13646]) ).
tcf(c_3260,plain,
! [X0: $i,X1: $i] :
( v1_int_1(k6_xcmplx_0(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f13645]) ).
tcf(c_3261,plain,
! [X0: $i,X1: $i] :
( v3_xreal_0(X0)
| ~ v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f13652]) ).
tcf(c_3264,plain,
! [X0: $i,X1: $i] :
( v3_xreal_0(X1)
| v2_xreal_0(k6_xcmplx_0(X1,X0))
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13649]) ).
tcf(c_3265,plain,
! [X0: $i,X1: $i] :
( v3_xreal_0(X0)
| ~ v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v3_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f13648]) ).
tcf(c_3266,plain,
! [X0: $i,X1: $i] :
( v3_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f13657]) ).
tcf(c_3269,plain,
! [X0: $i,X1: $i] :
( v3_xreal_0(X1)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f13654]) ).
tcf(c_3270,plain,
! [X0: $i,X1: $i] :
( v3_xreal_0(X1)
| v3_xreal_0(k6_xcmplx_0(X0,X1))
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13653]) ).
tcf(c_3271,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X0)
| ~ v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f13662]) ).
tcf(c_3274,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X0)
| ~ v2_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f13659]) ).
tcf(c_3275,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X1)
| v3_xreal_0(k6_xcmplx_0(X1,X0))
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13658]) ).
tcf(c_3276,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f13667]) ).
tcf(c_3279,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X1)
| v2_xreal_0(k6_xcmplx_0(X0,X1))
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13664]) ).
tcf(c_3280,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X1)
| ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v3_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f13663]) ).
tcf(c_3283,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X0)
| v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f13668]) ).
tcf(c_3286,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X1)
| v3_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v3_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f13671]) ).
tcf(c_3287,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k6_xcmplx_0(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13675]) ).
tcf(c_3288,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(k6_xcmplx_0(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13674]) ).
tcf(c_3289,plain,
! [X0: $i] :
( v2_xreal_0(X0)
| r1_xreal_0(X0,np__0)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13677]) ).
tcf(c_3290,plain,
! [X0: $i] :
( ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ r1_xreal_0(X0,np__0) ),
inference(cnf_transformation,[],[f13676]) ).
tcf(c_3291,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X1)
| v2_xreal_0(X0)
| v1_xcmplx_0(k3_xcmplx_0(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13680]) ).
tcf(c_3292,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X1)
| v2_xreal_0(X0)
| v1_xreal_0(k3_xcmplx_0(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13679]) ).
tcf(c_3293,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X1)
| v2_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v3_xreal_0(k3_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f13678]) ).
tcf(c_3294,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X0)
| v3_xreal_0(X1)
| v1_xcmplx_0(k3_xcmplx_0(X1,X0))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13683]) ).
tcf(c_3295,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X0)
| v3_xreal_0(X1)
| v1_xreal_0(k3_xcmplx_0(X1,X0))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13682]) ).
tcf(c_3296,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X1)
| v3_xreal_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k3_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f13681]) ).
tcf(c_3297,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X0)
| v3_xreal_0(X1)
| v1_xcmplx_0(k3_xcmplx_0(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13686]) ).
tcf(c_3298,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X0)
| v3_xreal_0(X1)
| v1_xreal_0(k3_xcmplx_0(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13685]) ).
tcf(c_3299,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(X0)
| v3_xreal_0(X1)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k3_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f13684]) ).
tcf(c_3300,plain,
v1_xboole_0(sK525),
inference(cnf_transformation,[],[f13691]) ).
tcf(c_3301,plain,
v1_xcmplx_0(sK525),
inference(cnf_transformation,[],[f13690]) ).
tcf(c_3302,plain,
v1_xreal_0(sK525),
inference(cnf_transformation,[],[f13689]) ).
tcf(c_3303,plain,
~ v2_xreal_0(sK525),
inference(cnf_transformation,[],[f13688]) ).
tcf(c_3304,plain,
~ v3_xreal_0(sK525),
inference(cnf_transformation,[],[f13687]) ).
tcf(c_3305,plain,
~ v1_xboole_0(sK526),
inference(cnf_transformation,[],[f13696]) ).
tcf(c_3306,plain,
v1_xcmplx_0(sK526),
inference(cnf_transformation,[],[f13695]) ).
tcf(c_3307,plain,
v1_xreal_0(sK526),
inference(cnf_transformation,[],[f13694]) ).
tcf(c_3308,plain,
~ v2_xreal_0(sK526),
inference(cnf_transformation,[],[f13693]) ).
tcf(c_3309,plain,
v3_xreal_0(sK526),
inference(cnf_transformation,[],[f13692]) ).
tcf(c_3310,plain,
~ v1_xboole_0(sK527),
inference(cnf_transformation,[],[f13701]) ).
tcf(c_3311,plain,
v1_xcmplx_0(sK527),
inference(cnf_transformation,[],[f13700]) ).
tcf(c_3312,plain,
v1_xreal_0(sK527),
inference(cnf_transformation,[],[f13699]) ).
tcf(c_3313,plain,
v2_xreal_0(sK527),
inference(cnf_transformation,[],[f13698]) ).
tcf(c_3314,plain,
~ v3_xreal_0(sK527),
inference(cnf_transformation,[],[f13697]) ).
tcf(c_3322,plain,
! [X0: $i] :
( ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f13715]) ).
tcf(c_3326,plain,
! [X0: $i] :
( v2_xreal_0(X0)
| v3_xreal_0(X0)
| v1_xboole_0(X0)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13716]) ).
tcf(c_3327,plain,
! [X0: $i] :
( ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f13722]) ).
tcf(c_3329,plain,
! [X0: $i] :
( ~ v2_xreal_0(X0)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13719]) ).
tcf(c_3334,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13726]) ).
tcf(c_3344,plain,
! [X0: $i] :
( v1_card_1(X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13731]) ).
tcf(c_3345,plain,
! [X0: $i] :
( v1_ordinal1(X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13744]) ).
tcf(c_3346,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13743]) ).
tcf(c_3347,plain,
! [X0: $i] :
( v4_ordinal2(X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13742]) ).
tcf(c_3348,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13741]) ).
tcf(c_3349,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13740]) ).
tcf(c_3350,plain,
! [X0: $i] :
( ~ v3_xreal_0(X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13739]) ).
tcf(c_3351,plain,
! [X0: $i] :
( v1_int_1(X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13738]) ).
tcf(c_3352,plain,
! [X0: $i] :
( v3_xreal_0(X0)
| r1_xreal_0(np__0,X0)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13746]) ).
tcf(c_3353,plain,
! [X0: $i] :
( ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ r1_xreal_0(np__0,X0) ),
inference(cnf_transformation,[],[f13745]) ).
tcf(c_3354,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| ( k9_rlvect_1(X2,X0) = k9_rlvect_1(X2,X1) )
| ~ v3_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ l1_rlvect_1(X2)
| ~ v2_funct_1(X1)
| ~ v2_funct_1(X0)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k2_relat_1(X0) != k2_relat_1(X1) ) ),
inference(cnf_transformation,[],[f13747]) ).
tcf(c_3355,plain,
! [X0: $i,X1: $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(X1,u1_struct_0(X0))
| ( k5_rlvect_1(X0,X1) != k1_rlvect_1(X0) ) ),
inference(cnf_transformation,[],[f13748]) ).
tcf(c_3358,plain,
! [X0: $i] :
( sP36(X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13757]) ).
tcf(c_3359,plain,
! [X0: $i] :
( ~ sP36(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f13756]) ).
tcf(c_3360,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| ~ sP36(X0) ),
inference(cnf_transformation,[],[f13755]) ).
tcf(c_3361,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| ~ sP36(X0) ),
inference(cnf_transformation,[],[f13754]) ).
tcf(c_3362,plain,
! [X0: $i] :
( v5_rlvect_1(X0)
| ~ sP36(X0) ),
inference(cnf_transformation,[],[f13753]) ).
tcf(c_3363,plain,
! [X0: $i] :
( v6_rlvect_1(X0)
| ~ sP36(X0) ),
inference(cnf_transformation,[],[f13752]) ).
tcf(c_3364,plain,
! [X0: $i] :
( l1_rlvect_1(X0)
| ~ sP36(X0) ),
inference(cnf_transformation,[],[f13751]) ).
tcf(c_3374,plain,
! [X0: $i] :
( sP35(X0)
| v3_struct_0(X0)
| ~ sP36(X0)
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13768]) ).
tcf(c_3375,plain,
! [X0: $i] :
( sP36(X0)
| v3_struct_0(X0)
| ~ sP35(X0)
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13767]) ).
tcf(c_3376,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,k1_rlvect_1(X0)) = k1_rlvect_1(X0) )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13769]) ).
tcf(c_3377,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,[],[f13771]) ).
tcf(c_3378,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,[],[f13770]) ).
tcf(c_3379,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,[],[f13772]) ).
tcf(c_3381,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,[],[f13773]) ).
tcf(c_3382,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,[],[f13776]) ).
tcf(c_3385,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,[],[f13777]) ).
tcf(c_3386,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,sK532(X0),X1) != k1_rlvect_1(X0) ) ),
inference(cnf_transformation,[],[f13782]) ).
tcf(c_3387,plain,
! [X0: $i] :
( v6_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK532(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13781]) ).
tcf(c_3388,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK533(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,[],[f13780]) ).
tcf(c_3389,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,sK533(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,[],[f13779]) ).
tcf(c_3390,plain,
! [X0: $i] :
( v5_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_rlvect_1(X0)
| ( k2_rlvect_1(X0,sK534(X0),k1_rlvect_1(X0)) != sK534(X0) ) ),
inference(cnf_transformation,[],[f13785]) ).
tcf(c_3391,plain,
! [X0: $i] :
( v5_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK534(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13784]) ).
tcf(c_3392,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,[],[f13783]) ).
tcf(c_3393,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(k1_zfmisc_1(X0),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13788]) ).
tcf(c_3394,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(k3_tarski(X0),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13787]) ).
tcf(c_3395,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(k1_setfam_1(X0),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13786]) ).
tcf(c_3396,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_setfam_1(X1))
| ~ v4_membered(X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13789]) ).
tcf(c_3397,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(X1))
| ~ v3_membered(X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13790]) ).
tcf(c_3398,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(X1))
| ~ v2_membered(X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13791]) ).
tcf(c_3399,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(X1))
| ~ v1_membered(X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13792]) ).
tcf(c_3400,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| ~ v3_ordinal1(sK535(X0)) ),
inference(cnf_transformation,[],[f13794]) ).
tcf(c_3401,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| r2_hidden(sK535(X0),X0) ),
inference(cnf_transformation,[],[f13793]) ).
tcf(c_3402,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k1_setfam_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f15279]) ).
tcf(c_3403,plain,
! [X0: $i] : k1_setfam_1(k2_tarski(X0,X0)) = X0,
inference(cnf_transformation,[],[f15280]) ).
tcf(c_3404,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(k2_xboole_0(X0,X1)) ) ),
inference(cnf_transformation,[],[f15281]) ).
tcf(c_3405,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,[],[f13798]) ).
tcf(c_3406,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,[],[f13799]) ).
tcf(c_3407,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,[],[f15282]) ).
tcf(c_3408,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_setfam_1(X1))
| ( X1 = np__0 )
| ~ r1_tarski(X0,sK536(X1,X0)) ),
inference(cnf_transformation,[],[f15283]) ).
tcf(c_3409,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k1_setfam_1(X0))
| r2_hidden(sK536(X0,X1),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f15284]) ).
tcf(c_3410,plain,
! [X0: $i] :
( ( k1_setfam_1(X0) = np__0 )
| ~ r2_hidden(np__0,X0) ),
inference(cnf_transformation,[],[f15285]) ).
tcf(c_3411,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_setfam_1(X1),X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13804]) ).
tcf(c_3412,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(X0),k3_tarski(X0)),
inference(cnf_transformation,[],[f13805]) ).
tcf(c_3414,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k1_setfam_1(X0) = X1 )
| ~ r2_hidden(sK537(X0,X1),X1)
| ~ r2_hidden(sK537(X0,X1),sK538(X0,X1)) ),
inference(cnf_transformation,[],[f15287]) ).
tcf(c_3415,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK538(X0,X1),X0)
| ( X0 = np__0 )
| ( k1_setfam_1(X0) = X1 )
| ~ r2_hidden(sK537(X0,X1),X1) ),
inference(cnf_transformation,[],[f15288]) ).
tcf(c_3416,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK537(X1,X2),X2)
| r2_hidden(sK537(X1,X2),X0)
| ( X1 = np__0 )
| ( k1_setfam_1(X1) = X2 )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15289]) ).
tcf(c_3417,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_setfam_1(X1))
| ( X1 = np__0 )
| ~ r2_hidden(X0,sK539(X1,X0)) ),
inference(cnf_transformation,[],[f15629]) ).
tcf(c_3418,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k1_setfam_1(X0))
| r2_hidden(sK539(X0,X1),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f15630]) ).
tcf(c_3419,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,[],[f15631]) ).
tcf(c_3421,plain,
k1_setfam_1(np__0) = np__0,
inference(cnf_transformation,[],[f15635]) ).
tcf(c_3422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : v1_finset_1(k2_enumset1(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f13815]) ).
tcf(c_3423,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(cnf_transformation,[],[f15295]) ).
tcf(c_3424,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,[],[f15296]) ).
tcf(c_3425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X3,X2,X1,X0),
inference(cnf_transformation,[],[f13818]) ).
tcf(c_3426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X3,X1,X2,X0),
inference(cnf_transformation,[],[f13819]) ).
tcf(c_3427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X3,X1,X0),
inference(cnf_transformation,[],[f13820]) ).
tcf(c_3428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X3,X0,X1),
inference(cnf_transformation,[],[f13821]) ).
tcf(c_3429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X1,X3,X0),
inference(cnf_transformation,[],[f13822]) ).
tcf(c_3430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X1,X0,X3),
inference(cnf_transformation,[],[f13823]) ).
tcf(c_3431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X3,X2,X0),
inference(cnf_transformation,[],[f13824]) ).
tcf(c_3432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X3,X0,X2),
inference(cnf_transformation,[],[f13825]) ).
tcf(c_3433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X2,X3,X0),
inference(cnf_transformation,[],[f13826]) ).
tcf(c_3434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X2,X0,X3),
inference(cnf_transformation,[],[f13827]) ).
tcf(c_3435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X0,X3,X2),
inference(cnf_transformation,[],[f13828]) ).
tcf(c_3436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X0,X2,X3),
inference(cnf_transformation,[],[f13829]) ).
tcf(c_3437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X3,X2,X1),
inference(cnf_transformation,[],[f13830]) ).
tcf(c_3438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X2,X3,X1),
inference(cnf_transformation,[],[f13831]) ).
tcf(c_3439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X2,X1,X3),
inference(cnf_transformation,[],[f13832]) ).
tcf(c_3440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X1,X3,X2),
inference(cnf_transformation,[],[f13833]) ).
tcf(c_3442,plain,
! [X0: $i,X1: $i] : k2_enumset1(X0,X0,X0,X1) = k2_tarski(X0,X1),
inference(cnf_transformation,[],[f13835]) ).
tcf(c_3443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_xboole_0(k2_tarski(X0,X1),k2_tarski(X2,X3)) = k2_enumset1(X0,X1,X2,X3),
inference(cnf_transformation,[],[f13836]) ).
tcf(c_3454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_enumset1(X0,X1,X2,X3) = X4 )
| ~ sP37(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f13848]) ).
tcf(c_3455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : sP37(X0,X1,X2,X3,k2_enumset1(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f15640]) ).
tcf(c_3456,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r2_hidden(k2_zfmisc_1(X0,X2),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13850]) ).
tcf(c_3457,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r2_hidden(k1_funct_2(X0,X2),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13849]) ).
tcf(c_3458,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_funct_2(X0,k1_classes1(X1)),k1_classes1(X1))
| ~ v1_ordinal1(X1)
| ~ r2_hidden(X0,k1_classes1(X1)) ),
inference(cnf_transformation,[],[f13853]) ).
tcf(c_3459,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_funct_2(X0,k1_classes1(X1)),k1_classes1(X1))
| ~ r2_hidden(X0,k1_classes1(X1))
| ~ r1_tarski(X0,k1_classes1(X1)) ),
inference(cnf_transformation,[],[f13852]) ).
tcf(c_3460,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_funct_2(X0,k1_classes1(X1)),k1_classes1(X1))
| ~ r1_tarski(X0,k1_classes1(X1))
| ~ r2_hidden(k1_card_1(X0),k1_card_1(k1_classes1(X1))) ),
inference(cnf_transformation,[],[f13851]) ).
tcf(c_3461,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)) )
| ( k1_card_1(X2) != k1_card_1(X3) )
| ( k1_card_1(X0) != k1_card_1(X1) ) ),
inference(cnf_transformation,[],[f13854]) ).
tcf(c_3462,plain,
! [X0: $i] : k1_funct_2(np__0,X0) = k2_tarski(np__0,np__0),
inference(cnf_transformation,[],[f15298]) ).
tcf(c_3463,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_funct_2(X2,X0),k1_funct_2(X2,X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13856]) ).
tcf(c_3464,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_funct_2(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f13857]) ).
tcf(c_3465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_funct_1(X0)
| v1_xboole_0(X4)
| ( k1_funct_2(X1,X2) = np__0 )
| ~ r1_tarski(X2,X4)
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X0,k1_funct_2(X1,X2)) ),
inference(cnf_transformation,[],[f15299]) ).
tcf(c_3466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| m2_relset_1(X0,X3,X4)
| ( k1_funct_2(X1,X2) = np__0 )
| ~ r1_tarski(X2,X4)
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X0,k1_funct_2(X1,X2)) ),
inference(cnf_transformation,[],[f15300]) ).
tcf(c_3467,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_funct_2(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(cnf_transformation,[],[f13860]) ).
tcf(c_3468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_relat_1(X0) = X1 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X0,k1_funct_2(X1,X2)) ),
inference(cnf_transformation,[],[f13862]) ).
tcf(c_3469,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_relat_1(X0),X2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X0,k1_funct_2(X1,X2)) ),
inference(cnf_transformation,[],[f13861]) ).
tcf(c_3470,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(X0)
| ~ r2_hidden(X0,k1_funct_2(X1,X2)) ),
inference(cnf_transformation,[],[f13865]) ).
tcf(c_3471,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(X0,X1,X2)
| ~ r2_hidden(X0,k1_funct_2(X1,X2)) ),
inference(cnf_transformation,[],[f13864]) ).
tcf(c_3472,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ r2_hidden(X0,k1_funct_2(X1,X2)) ),
inference(cnf_transformation,[],[f13863]) ).
tcf(c_3473,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k1_funct_2(X0,np__0) = np__0 ) ),
inference(cnf_transformation,[],[f15301]) ).
tcf(c_3474,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_funct_2(X1,X1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f13867]) ).
tcf(c_3475,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_funct_2(np__0,X1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,np__0,X1)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f15641]) ).
tcf(c_3476,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_funct_2(X1,X2))
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f15303]) ).
tcf(c_3489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_2(X0,X1) = X2 )
| ~ sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f13883]) ).
tcf(c_3490,plain,
! [X0: $i,X1: $i] : sP38(X0,X1,k1_funct_2(X0,X1)),
inference(cnf_transformation,[],[f15645]) ).
tcf(c_3491,plain,
! [X0: $i] : ~ v1_xboole_0(k1_funct_2(X0,X0)),
inference(cnf_transformation,[],[f13884]) ).
tcf(c_3492,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ v1_xboole_0(k1_funct_2(X0,X1)) ),
inference(cnf_transformation,[],[f13885]) ).
tcf(c_3494,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v1_card_1(X1)
| ~ v1_card_1(X0)
| ~ v1_finset_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13886]) ).
tcf(c_3495,plain,
! [X0: $i] :
( r2_hidden(np__0,X0)
| ~ v1_card_1(X0)
| ~ r1_tarski(np__1,X0) ),
inference(cnf_transformation,[],[f13889]) ).
tcf(c_3496,plain,
! [X0: $i] :
( r1_tarski(np__1,X0)
| ~ v1_card_1(X0)
| ~ r2_hidden(np__0,X0) ),
inference(cnf_transformation,[],[f13888]) ).
tcf(c_3498,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| r2_hidden(X0,X1)
| ~ v1_card_1(X1)
| ~ v1_card_1(X0)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f13892]) ).
tcf(c_3499,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| r1_tarski(X0,X1)
| ~ v1_card_1(X1)
| ~ v1_card_1(X0)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f13891]) ).
tcf(c_3500,plain,
! [X0: $i] : v1_card_1(k1_card_1(X0)),
inference(cnf_transformation,[],[f13893]) ).
tcf(c_3501,plain,
! [X0: $i] :
( m2_subset_1(sK544(X0),k1_numbers,k5_numbers)
| ~ v1_card_1(X0)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f13895]) ).
tcf(c_3502,plain,
! [X0: $i] :
( ( k1_card_1(sK544(X0)) = X0 )
| ~ v1_card_1(X0)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f13894]) ).
tcf(c_3503,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_card_1(X0),X1)
| ~ v1_card_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13896]) ).
tcf(c_3504,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_card_1(X0),X1)
| ~ v1_card_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13897]) ).
tcf(c_3505,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| r1_tarski(X1,X0)
| ~ v1_card_1(X1)
| ~ v1_card_1(X0) ),
inference(cnf_transformation,[],[f13899]) ).
tcf(c_3507,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ( X0 = X1 )
| ~ v1_card_1(X1)
| ~ v1_card_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13902]) ).
tcf(c_3508,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_card_1(X1)
| ~ v1_card_1(X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13901]) ).
tcf(c_3509,plain,
! [X0: $i] :
( ~ v1_card_1(X0)
| ~ r2_hidden(X0,X0) ),
inference(cnf_transformation,[],[f15756]) ).
tcf(c_3510,plain,
v1_card_1(sK545),
inference(cnf_transformation,[],[f13903]) ).
tcf(c_3511,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X0,X1)
| ~ r1_ordinal1(X0,X1)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13905]) ).
tcf(c_3512,plain,
! [X0: $i,X1: $i] :
( r1_ordinal1(X0,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,[],[f13904]) ).
tcf(c_3513,plain,
! [X0: $i] :
( r1_ordinal1(k1_card_1(X0),X0)
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f13906]) ).
tcf(c_3514,plain,
! [X0: $i] :
( r1_ordinal1(k3_tarski(X0),X0)
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f13907]) ).
tcf(c_3515,plain,
! [X0: $i,X1: $i] :
( r1_ordinal1(X0,X1)
| ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| ~ r1_ordinal1(k2_xboole_0(X0,k2_tarski(X0,X0)),k2_xboole_0(X1,k2_tarski(X1,X1))) ),
inference(cnf_transformation,[],[f15304]) ).
tcf(c_3516,plain,
! [X0: $i,X1: $i] :
( r1_ordinal1(k2_xboole_0(X0,k2_tarski(X0,X0)),k2_xboole_0(X1,k2_tarski(X1,X1)))
| ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| ~ r1_ordinal1(X0,X1) ),
inference(cnf_transformation,[],[f15305]) ).
tcf(c_3517,plain,
! [X0: $i,X1: $i] :
( r1_ordinal1(X0,X1)
| ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13911]) ).
tcf(c_3518,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| ~ r1_ordinal1(X0,X1) ),
inference(cnf_transformation,[],[f13910]) ).
tcf(c_3519,plain,
! [X0: $i,X1: $i] :
( r1_ordinal1(X1,X0)
| r1_ordinal1(X0,X1)
| ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f13912]) ).
tcf(c_3520,plain,
! [X0: $i,X1: $i] :
( r1_ordinal1(X0,X0)
| ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f13913]) ).
tcf(c_3521,plain,
! [X0: $i] : v3_ordinal1(sK546(X0)),
inference(cnf_transformation,[],[f13916]) ).
tcf(c_3522,plain,
! [X0: $i] : ~ r2_hidden(sK546(X0),X0),
inference(cnf_transformation,[],[f13915]) ).
tcf(c_3523,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| r1_ordinal1(sK546(X1),X0)
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f13914]) ).
tcf(c_3524,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k2_xboole_0(X1,k2_tarski(X1,X1)))
| ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| ~ r1_ordinal1(X0,X1) ),
inference(cnf_transformation,[],[f15306]) ).
tcf(c_3525,plain,
! [X0: $i,X1: $i] :
( r1_ordinal1(X0,X1)
| ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| ~ r2_hidden(X0,k2_xboole_0(X1,k2_tarski(X1,X1))) ),
inference(cnf_transformation,[],[f15307]) ).
tcf(c_3526,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| ~ r1_ordinal1(k2_xboole_0(X0,k2_tarski(X0,X0)),X1) ),
inference(cnf_transformation,[],[f15308]) ).
tcf(c_3527,plain,
! [X0: $i,X1: $i] :
( r1_ordinal1(k2_xboole_0(X0,k2_tarski(X0,X0)),X1)
| ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15309]) ).
tcf(c_3528,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK547(X0),X0)
| ( X0 = np__0 )
| ~ v3_ordinal1(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f15310]) ).
tcf(c_3529,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_ordinal1(sK547(X0),X2)
| ( X0 = np__0 )
| ~ v3_ordinal1(X2)
| ~ v3_ordinal1(X1)
| ~ r2_hidden(X2,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f15311]) ).
tcf(c_3530,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(sK547(X0))
| ( X0 = np__0 )
| ~ v3_ordinal1(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f15312]) ).
tcf(c_3531,plain,
! [X0: $i,X1: $i] :
( r1_ordinal1(X0,X1)
| r2_hidden(X1,X0)
| ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f13924]) ).
tcf(c_3532,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,[],[f13925]) ).
tcf(c_3533,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,[],[f13926]) ).
tcf(c_3534,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,[],[f13927]) ).
tcf(c_3535,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,[],[f13928]) ).
tcf(c_3536,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,[],[f13930]) ).
tcf(c_3537,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,[],[f13929]) ).
tcf(c_3538,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK548(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,[],[f13932]) ).
tcf(c_3539,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,sK548(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,[],[f13931]) ).
tcf(c_3540,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_rlvect_1(X0)
| ( k2_rlvect_1(X0,k2_rlvect_1(X0,sK549(X0),sK550(X0)),sK551(X0)) != k2_rlvect_1(X0,sK549(X0),k2_rlvect_1(X0,sK550(X0),sK551(X0))) ) ),
inference(cnf_transformation,[],[f13937]) ).
tcf(c_3541,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK551(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13936]) ).
tcf(c_3542,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK550(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13935]) ).
tcf(c_3543,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK549(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13934]) ).
tcf(c_3544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k2_rlvect_1(X1,X3,X0),X2) = k2_rlvect_1(X1,X3,k2_rlvect_1(X1,X0,X2)) )
| ~ 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,[],[f13933]) ).
tcf(c_3545,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_rlvect_1(X0)
| ( k2_rlvect_1(X0,sK552(X0),sK553(X0)) != k2_rlvect_1(X0,sK553(X0),sK552(X0)) ) ),
inference(cnf_transformation,[],[f13941]) ).
tcf(c_3546,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK553(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13940]) ).
tcf(c_3547,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK552(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13939]) ).
tcf(c_3548,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,[],[f13938]) ).
tcf(c_3549,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,k15_qc_lang2(X1))
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r1_qc_lang2(X2,X0)
| ~ r2_hidden(X0,k15_qc_lang2(X1)) ),
inference(cnf_transformation,[],[f13944]) ).
tcf(c_3550,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,k15_qc_lang2(X1))
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r3_qc_lang2(X2,X0)
| ~ r2_hidden(X0,k15_qc_lang2(X1)) ),
inference(cnf_transformation,[],[f13943]) ).
tcf(c_3551,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,k15_qc_lang2(X1))
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_qc_lang2(X2,X0)
| ~ r2_hidden(X0,k15_qc_lang2(X1)) ),
inference(cnf_transformation,[],[f13942]) ).
tcf(c_3552,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_qc_lang2(X2,X1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r3_qc_lang2(X2,X0)
| ~ r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13950]) ).
tcf(c_3553,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_qc_lang2(X0,X2)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r3_qc_lang2(X1,X2)
| ~ r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13949]) ).
tcf(c_3554,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_qc_lang2(X0,X2)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r1_qc_lang2(X1,X2)
| ~ r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13948]) ).
tcf(c_3555,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_qc_lang2(X2,X1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r1_qc_lang2(X2,X0)
| ~ r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13947]) ).
tcf(c_3556,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_qc_lang2(X2,X1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r3_qc_lang2(X2,X0)
| ~ r1_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13946]) ).
tcf(c_3557,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_qc_lang2(X0,X2)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r3_qc_lang2(X1,X2)
| ~ r1_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13945]) ).
tcf(c_3558,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r3_qc_lang2(X1,X0)
| ~ r1_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13951]) ).
tcf(c_3559,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r1_qc_lang2(X1,X0)
| ~ r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13952]) ).
tcf(c_3560,plain,
! [X0: $i,X1: $i] :
( r1_qc_lang2(sK554(X1),X1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r3_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13954]) ).
tcf(c_3561,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK554(X1),k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r3_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13953]) ).
tcf(c_3562,plain,
! [X0: $i,X1: $i] :
( r3_qc_lang2(X0,X1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r1_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13955]) ).
tcf(c_3563,plain,
! [X0: $i,X1: $i] :
( r2_qc_lang2(X0,X1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r1_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13956]) ).
tcf(c_3564,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r1_qc_lang2(X1,X0)
| ~ r1_xreal_0(k3_finseq_1(k10_qc_lang1(X0)),k3_finseq_1(k10_qc_lang1(X1))) ),
inference(cnf_transformation,[],[f13957]) ).
tcf(c_3565,plain,
! [X0: $i,X1: $i] :
( r1_qc_lang2(X1,k14_qc_lang1(X0,X1))
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m2_subset_1(X0,k1_qc_lang1,k2_qc_lang1) ),
inference(cnf_transformation,[],[f15757]) ).
tcf(c_3566,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m2_subset_1(X1,k1_qc_lang1,k2_qc_lang1)
| ~ r1_qc_lang2(X0,k14_qc_lang1(X1,X2)) ),
inference(cnf_transformation,[],[f13958]) ).
tcf(c_3567,plain,
! [X0: $i,X1: $i] :
( r1_qc_lang2(X0,k13_qc_lang1(X0,X1))
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(cnf_transformation,[],[f15758]) ).
tcf(c_3568,plain,
! [X0: $i,X1: $i] :
( r1_qc_lang2(X1,k13_qc_lang1(X0,X1))
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(cnf_transformation,[],[f15759]) ).
tcf(c_3569,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r1_qc_lang2(X0,k13_qc_lang1(X1,X2)) ),
inference(cnf_transformation,[],[f13960]) ).
tcf(c_3570,plain,
! [X0: $i] :
( r1_qc_lang2(X0,k12_qc_lang1(X0))
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(cnf_transformation,[],[f15760]) ).
tcf(c_3571,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r1_qc_lang2(X0,k12_qc_lang1(X1)) ),
inference(cnf_transformation,[],[f13963]) ).
tcf(c_3572,plain,
! [X0: $i] :
( ~ r1_qc_lang2(X0,k11_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(cnf_transformation,[],[f13965]) ).
tcf(c_3577,plain,
! [X0: $i,X1: $i] :
( ( k12_qc_lang1(X0) = X1 )
| ( k13_qc_lang1(X0,sK555(X0,X1)) = X1 )
| ( k13_qc_lang1(sK555(X0,X1),X0) = X1 )
| ( k14_qc_lang1(sK556(X0,X1),X0) = X1 )
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r1_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13969]) ).
tcf(c_3578,plain,
! [X0: $i,X1: $i] :
( m2_subset_1(sK556(X0,X1),k1_qc_lang1,k2_qc_lang1)
| ( k12_qc_lang1(X0) = X1 )
| ( k13_qc_lang1(X0,sK555(X0,X1)) = X1 )
| ( k13_qc_lang1(sK555(X0,X1),X0) = X1 )
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r1_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13968]) ).
tcf(c_3579,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK555(X0,X1),k8_qc_lang1)
| ( k12_qc_lang1(X0) = X1 )
| ( k14_qc_lang1(sK556(X0,X1),X0) = X1 )
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r1_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13967]) ).
tcf(c_3580,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK555(X0,X1),k8_qc_lang1)
| m2_subset_1(sK556(X0,X1),k1_qc_lang1,k2_qc_lang1)
| ( k12_qc_lang1(X0) = X1 )
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r1_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13966]) ).
tcf(c_3581,plain,
! [X0: $i,X1: $i] :
( r2_qc_lang2(X0,X0)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(cnf_transformation,[],[f13974]) ).
tcf(c_3582,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k15_qc_lang2(X0),k15_qc_lang2(X1))
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13975]) ).
tcf(c_3583,plain,
! [X0: $i,X1: $i] :
( r2_qc_lang2(X0,X1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_hidden(X0,k15_qc_lang2(X1)) ),
inference(cnf_transformation,[],[f13976]) ).
tcf(c_3584,plain,
! [X0: $i,X1: $i] :
( ( k15_qc_lang2(X0) = X1 )
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m1_subset_1(sK557(X0,X1),k8_qc_lang1)
| ~ r2_qc_lang2(sK557(X0,X1),X0)
| ~ r2_hidden(sK557(X0,X1),X1) ),
inference(cnf_transformation,[],[f15655]) ).
tcf(c_3585,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK558(X0,X1),k8_qc_lang1)
| r2_hidden(sK557(X0,X1),X1)
| ( k15_qc_lang2(X0) = X1 )
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(cnf_transformation,[],[f13983]) ).
tcf(c_3586,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK557(X0,X1),X1)
| ( k15_qc_lang2(X0) = X1 )
| ( sK557(X0,X1) = sK558(X0,X1) )
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(cnf_transformation,[],[f13982]) ).
tcf(c_3587,plain,
! [X0: $i,X1: $i] :
( r2_qc_lang2(sK558(X0,X1),X0)
| r2_hidden(sK557(X0,X1),X1)
| ( k15_qc_lang2(X0) = X1 )
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(cnf_transformation,[],[f13981]) ).
tcf(c_3588,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k15_qc_lang2(X1))
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f15657]) ).
tcf(c_3589,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK559(X1,X0),k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_hidden(X0,k15_qc_lang2(X1)) ),
inference(cnf_transformation,[],[f15658]) ).
tcf(c_3590,plain,
! [X0: $i,X1: $i] :
( ( sK559(X1,X0) = X0 )
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_hidden(X0,k15_qc_lang2(X1)) ),
inference(cnf_transformation,[],[f15659]) ).
tcf(c_3591,plain,
! [X0: $i,X1: $i] :
( r2_qc_lang2(sK559(X1,X0),X1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_hidden(X0,k15_qc_lang2(X1)) ),
inference(cnf_transformation,[],[f15660]) ).
tcf(c_3592,plain,
( r2_qc_lang2(k11_qc_lang1,k11_qc_lang1)
| ~ m1_subset_1(k11_qc_lang1,k8_qc_lang1) ),
inference(cnf_transformation,[],[f15661]) ).
tcf(c_3593,plain,
! [X0: $i] :
( ( X0 = k11_qc_lang1 )
| ~ r2_qc_lang2(X0,k11_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(cnf_transformation,[],[f13985]) ).
tcf(c_3594,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_qc_lang2(X1,X2)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m2_subset_1(X0,k1_qc_lang1,k2_qc_lang1)
| ~ r2_qc_lang2(k14_qc_lang1(X0,X1),X2) ),
inference(cnf_transformation,[],[f13987]) ).
tcf(c_3595,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_qc_lang2(X0,X2)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ m2_subset_1(X1,k1_qc_lang1,k2_qc_lang1)
| ~ r3_qc_lang2(X0,k14_qc_lang1(X1,X2)) ),
inference(cnf_transformation,[],[f13989]) ).
tcf(c_3596,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_qc_lang2(X1,k14_qc_lang1(X0,X2))
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ r2_qc_lang2(X1,X2)
| ~ m2_subset_1(X0,k1_qc_lang1,k2_qc_lang1) ),
inference(cnf_transformation,[],[f13988]) ).
tcf(c_3597,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_qc_lang2(X0,X2)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_qc_lang2(k13_qc_lang1(X0,X1),X2) ),
inference(cnf_transformation,[],[f13991]) ).
tcf(c_3598,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_qc_lang2(X1,X2)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_qc_lang2(k13_qc_lang1(X0,X1),X2) ),
inference(cnf_transformation,[],[f13990]) ).
tcf(c_3599,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_qc_lang2(X0,X2)
| r2_qc_lang2(X0,X1)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r3_qc_lang2(X0,k13_qc_lang1(X1,X2)) ),
inference(cnf_transformation,[],[f13994]) ).
tcf(c_3600,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_qc_lang2(X0,k13_qc_lang1(X1,X2))
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13993]) ).
tcf(c_3601,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_qc_lang2(X0,k13_qc_lang1(X2,X1))
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13992]) ).
tcf(c_3602,plain,
! [X0: $i,X1: $i] :
( r3_qc_lang2(X0,X1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_qc_lang2(k12_qc_lang1(X0),X1) ),
inference(cnf_transformation,[],[f13995]) ).
tcf(c_3603,plain,
! [X0: $i,X1: $i] :
( r2_qc_lang2(X0,X1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r3_qc_lang2(X0,k12_qc_lang1(X1)) ),
inference(cnf_transformation,[],[f13997]) ).
tcf(c_3604,plain,
! [X0: $i,X1: $i] :
( r3_qc_lang2(X0,k12_qc_lang1(X1))
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13996]) ).
tcf(c_3605,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r3_qc_lang2(X1,X0)
| ~ r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13998]) ).
tcf(c_3606,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_qc_lang2(X1,X0)
| ~ r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f13999]) ).
tcf(c_3607,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_qc_lang2(X0,X2)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_qc_lang2(X1,X2)
| ~ r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f14000]) ).
tcf(c_3608,plain,
! [X0: $i,X1: $i] :
( r3_qc_lang2(X0,X1)
| ( X0 = X1 )
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f14003]) ).
tcf(c_3609,plain,
! [X0: $i,X1: $i] :
( r2_qc_lang2(X0,X1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r3_qc_lang2(X0,X1) ),
inference(cnf_transformation,[],[f14002]) ).
tcf(c_3610,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r3_qc_lang2(X0,X0) ),
inference(cnf_transformation,[],[f15761]) ).
tcf(c_3611,plain,
~ v1_xboole_0(k8_qc_lang1),
inference(cnf_transformation,[],[f14004]) ).
tcf(c_3612,plain,
! [X0: $i,X1: $i] :
( ( k7_finseq_1(k7_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__2,np__0),k2_tarski(np__2,np__2))),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__2,np__0),k2_tarski(np__2,np__2))),k2_tarski(np__1,np__1))),k10_qc_lang1(X0)),k10_qc_lang1(X1)) = k13_qc_lang1(X0,X1) )
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(cnf_transformation,[],[f15313]) ).
tcf(c_3613,plain,
! [X0: $i] :
( ( k7_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__1,np__0),k2_tarski(np__1,np__1))),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__1,np__0),k2_tarski(np__1,np__1))),k2_tarski(np__1,np__1))),k10_qc_lang1(X0)) = k12_qc_lang1(X0) )
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(cnf_transformation,[],[f15314]) ).
tcf(c_3614,plain,
k2_tarski(k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__0,np__0),k2_tarski(np__0,np__0))),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__0,np__0),k2_tarski(np__0,np__0))),k2_tarski(np__1,np__1))) = k11_qc_lang1,
inference(cnf_transformation,[],[f15315]) ).
tcf(c_3615,plain,
! [X0: $i] : v1_relat_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))),
inference(cnf_transformation,[],[f15316]) ).
tcf(c_3616,plain,
! [X0: $i] : v1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))),
inference(cnf_transformation,[],[f15317]) ).
tcf(c_3617,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k7_finseq_1(sK560(X0),k2_tarski(k2_tarski(k2_tarski(np__1,sK561(X0)),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,sK561(X0)),k2_tarski(np__1,np__1)))) = X0 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15318]) ).
tcf(c_3618,plain,
! [X0: $i] :
( v1_relat_1(sK560(X0))
| ( X0 = np__0 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15319]) ).
tcf(c_3619,plain,
! [X0: $i] :
( v1_funct_1(sK560(X0))
| ( X0 = np__0 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15320]) ).
tcf(c_3620,plain,
! [X0: $i] :
( v1_finseq_1(sK560(X0))
| ( X0 = np__0 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15321]) ).
tcf(c_3621,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(k7_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X1),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X1),k2_tarski(np__1,np__1))),X0),np__1) = X1 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15322]) ).
tcf(c_3622,plain,
! [X0: $i] :
( ( k2_tarski(k2_tarski(k2_tarski(np__1,k1_funct_1(X0,np__1)),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,k1_funct_1(X0,np__1)),k2_tarski(np__1,np__1))) = X0 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k3_finseq_1(X0) != np__1 ) ),
inference(cnf_transformation,[],[f15663]) ).
tcf(c_3624,plain,
! [X0: $i] :
( ( k1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))),np__1) = X0 )
| ~ v1_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| ~ v1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| ~ v1_relat_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) ),
inference(cnf_transformation,[],[f15665]) ).
tcf(c_3625,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))) = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( k3_finseq_1(X1) != np__1 )
| ( k2_tarski(X0,X0) != k2_relat_1(X1) ) ),
inference(cnf_transformation,[],[f15326]) ).
tcf(c_3626,plain,
! [X0: $i] :
( ( k3_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) = np__1 )
| ~ v1_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| ~ v1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| ~ v1_relat_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) ),
inference(cnf_transformation,[],[f15666]) ).
tcf(c_3628,plain,
! [X0: $i] :
( ( k2_tarski(k2_tarski(k2_tarski(np__1,k1_funct_1(X0,np__1)),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,k1_funct_1(X0,np__1)),k2_tarski(np__1,np__1))) = X0 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k1_relat_1(X0) != k2_finseq_1(np__1) ) ),
inference(cnf_transformation,[],[f15668]) ).
tcf(c_3629,plain,
! [X0: $i] :
( ( k1_relat_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) = k2_finseq_1(np__1) )
| ~ v1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| ~ v1_relat_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) ),
inference(cnf_transformation,[],[f15669]) ).
tcf(c_3630,plain,
! [X0: $i] :
( ( k1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))),np__1) = X0 )
| ~ v1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))))
| ~ v1_relat_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) ),
inference(cnf_transformation,[],[f15670]) ).
tcf(c_3631,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k6_rlvect_1(X1,X0,X2)) = k6_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,[],[f14025]) ).
tcf(c_3632,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(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,k5_rlvect_1(X0,X2)) != k1_rlvect_1(X0) ) ),
inference(cnf_transformation,[],[f14029]) ).
tcf(c_3633,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,[],[f15762]) ).
tcf(c_3634,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(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))
| ( k6_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(cnf_transformation,[],[f14027]) ).
tcf(c_3635,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k6_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,[],[f15763]) ).
tcf(c_3637,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k6_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,[],[f14030]) ).
tcf(c_3639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k2_rlvect_1(X1,X3,k5_rlvect_1(X1,X2))) = k6_rlvect_1(X1,X2,X3) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ 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,[],[f14035]) ).
tcf(c_3641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k6_rlvect_1(X1,k5_rlvect_1(X1,X2),X3)) = k2_rlvect_1(X1,X3,X2) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ 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,[],[f14033]) ).
tcf(c_3642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k6_rlvect_1(X1,k6_rlvect_1(X1,X0,X2),X3) = k6_rlvect_1(X1,X0,k2_rlvect_1(X1,X3,X2)) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ 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,[],[f14032]) ).
tcf(c_3643,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(k5_rlvect_1(X1,X0),u1_struct_0(X1))
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f14037]) ).
tcf(c_3644,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X2,k5_rlvect_1(X1,X0)) = k5_rlvect_1(X1,k6_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,[],[f14038]) ).
tcf(c_3645,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k6_rlvect_1(X1,k5_rlvect_1(X1,X0),X2) = k6_rlvect_1(X1,k5_rlvect_1(X1,X2),X0) )
| ~ v3_rlvect_1(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,[],[f14039]) ).
tcf(c_3646,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k2_rlvect_1(X1,X0,X2)) = k6_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,[],[f14040]) ).
tcf(c_3647,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(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))
| ( k5_rlvect_1(X0,X1) != k5_rlvect_1(X0,X2) ) ),
inference(cnf_transformation,[],[f14041]) ).
tcf(c_3648,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k5_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,[],[f14042]) ).
tcf(c_3649,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k6_rlvect_1(X1,k1_rlvect_1(X1),X0) = k5_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,[],[f14043]) ).
tcf(c_3650,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,k5_rlvect_1(X1,X2)) = k6_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,[],[f14044]) ).
tcf(c_3651,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(k3_rlvect_1(X1,X0,X2),u1_struct_0(X1))
| ~ l2_rlvect_1(X1)
| ~ m1_subset_1(X2,k1_numbers)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f14045]) ).
tcf(c_3652,plain,
l2_rlvect_1(sK562),
inference(cnf_transformation,[],[f14046]) ).
tcf(c_3653,plain,
! [X0: $i] :
( l1_rlvect_1(X0)
| ~ l2_rlvect_1(X0) ),
inference(cnf_transformation,[],[f14047]) ).
tcf(c_3654,plain,
l2_rlvect_1(sK563),
inference(cnf_transformation,[],[f14049]) ).
tcf(c_3655,plain,
~ v3_struct_0(sK563),
inference(cnf_transformation,[],[f14048]) ).
tcf(c_3656,plain,
! [X0: $i,X1: $i] :
( r1_rfinseq(X0,X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14050]) ).
tcf(c_3657,plain,
! [X0: $i,X1: $i] :
( r1_rfinseq(X1,X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f14051]) ).
tcf(c_3658,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK564(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_finset_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14055]) ).
tcf(c_3659,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK564(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_finset_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14054]) ).
tcf(c_3660,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(sK564(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_finset_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14053]) ).
tcf(c_3661,plain,
! [X0: $i,X1: $i] :
( r1_rfinseq(k7_relat_1(X0,X1),sK564(X0,X1))
| ~ v1_funct_1(X0)
| ~ v1_finset_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14052]) ).
tcf(c_3662,plain,
! [X0: $i,X1: $i] :
( r1_rfinseq(k5_relat_1(X0,X1),X1)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(k5_relat_1(X0,X1))
| ~ v1_funct_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(k5_relat_1(X0,X1))
| ~ v3_funct_2(X0,k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v1_funct_2(X0,k4_finseq_1(X1),k4_finseq_1(X1))
| ~ m2_relset_1(X0,k4_finseq_1(X1),k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f15673]) ).
tcf(c_3663,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK565(X0,X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f14060]) ).
tcf(c_3664,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(sK565(X0,X1),k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f14059]) ).
tcf(c_3665,plain,
! [X0: $i,X1: $i] :
( v3_funct_2(sK565(X0,X1),k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f14058]) ).
tcf(c_3666,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK565(X0,X1),k4_finseq_1(X1),k4_finseq_1(X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f14057]) ).
tcf(c_3667,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(sK565(X0,X1),X1) = X0 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f14056]) ).
tcf(c_3668,plain,
! [X0: $i,X1: $i] :
( r1_rfinseq(k7_finseq_1(X0,X1),k7_finseq_1(X1,X0))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14062]) ).
tcf(c_3669,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_rfinseq(X0,X2)
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(k7_finseq_1(X0,X1),k7_finseq_1(X2,X1)) ),
inference(cnf_transformation,[],[f14064]) ).
tcf(c_3670,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_rfinseq(k7_finseq_1(X0,X2),k7_finseq_1(X1,X2))
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f14063]) ).
tcf(c_3671,plain,
! [X0: $i,X1: $i] :
( ( k1_card_1(k1_relat_1(X0)) = k1_card_1(k1_relat_1(X1)) )
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f14065]) ).
tcf(c_3672,plain,
! [X0: $i,X1: $i] :
( r1_rfinseq(k5_relat_1(X0,X1),X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(k5_relat_1(X0,X1))
| ~ v3_funct_2(X0,k1_relat_1(k5_relat_1(X0,X1)),k1_relat_1(k5_relat_1(X0,X1)))
| ~ v1_funct_2(X0,k1_relat_1(k5_relat_1(X0,X1)),k1_relat_1(k5_relat_1(X0,X1)))
| ~ m2_relset_1(X0,k1_relat_1(k5_relat_1(X0,X1)),k1_relat_1(k5_relat_1(X0,X1)))
| ( k1_relat_1(k5_relat_1(X0,X1)) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f15674]) ).
tcf(c_3673,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK566(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1)
| ( k1_relat_1(X0) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f14070]) ).
tcf(c_3674,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(sK566(X0,X1),k1_relat_1(X0),k1_relat_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1)
| ( k1_relat_1(X0) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f14069]) ).
tcf(c_3675,plain,
! [X0: $i,X1: $i] :
( v3_funct_2(sK566(X0,X1),k1_relat_1(X0),k1_relat_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1)
| ( k1_relat_1(X0) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f14068]) ).
tcf(c_3676,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK566(X0,X1),k1_relat_1(X0),k1_relat_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1)
| ( k1_relat_1(X0) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f14067]) ).
tcf(c_3677,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(sK566(X0,X1),X1) = X0 )
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1)
| ( k1_relat_1(X0) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f14066]) ).
tcf(c_3678,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r1_rfinseq(X0,X2)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X2),X1)
| ~ r1_tarski(k2_relat_1(X0),X1)
| ( k1_card_1(k10_relat_1(X0,k2_tarski(sK567(X1,X0,X2),sK567(X1,X0,X2)))) != k1_card_1(k10_relat_1(X2,k2_tarski(sK567(X1,X0,X2),sK567(X1,X0,X2)))) ) ),
inference(cnf_transformation,[],[f15332]) ).
tcf(c_3679,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r1_rfinseq(X0,X2)
| m1_subset_1(sK567(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X2),X1)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f14073]) ).
tcf(c_3681,plain,
! [X0: $i,X1: $i] :
( r1_rfinseq(X0,X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k1_card_1(k10_relat_1(X0,sK568(X0,X1))) != k1_card_1(k10_relat_1(X1,sK568(X0,X1))) ) ),
inference(cnf_transformation,[],[f14076]) ).
tcf(c_3682,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_card_1(k10_relat_1(X0,X2)) = k1_card_1(k10_relat_1(X1,X2)) )
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f14075]) ).
tcf(c_3683,plain,
! [X0: $i,X1: $i] :
( r1_rfinseq(k5_relat_1(X1,X0),X0)
| ~ v2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(k5_relat_1(X1,X0))
| ~ v1_relat_1(k5_relat_1(X1,X0))
| ( k1_relat_1(X0) != k2_relat_1(X1) )
| ( k1_relat_1(k5_relat_1(X1,X0)) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f15675]) ).
tcf(c_3684,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK569(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f14082]) ).
tcf(c_3685,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK569(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f14081]) ).
tcf(c_3686,plain,
! [X0: $i,X1: $i] :
( ( k1_relat_1(sK569(X0,X1)) = k1_relat_1(X0) )
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f14080]) ).
tcf(c_3687,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(sK569(X0,X1)) = k1_relat_1(X1) )
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f14079]) ).
tcf(c_3688,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(sK569(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f14078]) ).
tcf(c_3689,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(sK569(X0,X1),X1) = X0 )
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f14077]) ).
tcf(c_3690,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_rfinseq(X1,X2)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X2)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f14084]) ).
tcf(c_3691,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(X0) = k2_relat_1(X1) )
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f14085]) ).
tcf(c_3692,plain,
! [X0: $i,X1: $i] :
( r1_rfinseq(X0,X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k1_card_1(k10_relat_1(X0,k2_tarski(sK570(X0,X1),sK570(X0,X1)))) != k1_card_1(k10_relat_1(X1,k2_tarski(sK570(X0,X1),sK570(X0,X1)))) ) ),
inference(cnf_transformation,[],[f15334]) ).
tcf(c_3693,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_card_1(k10_relat_1(X0,k2_tarski(X2,X2))) = k1_card_1(k10_relat_1(X1,k2_tarski(X2,X2))) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_rfinseq(X0,X1) ),
inference(cnf_transformation,[],[f15335]) ).
tcf(c_3694,plain,
l1_group_1(sK571),
inference(cnf_transformation,[],[f14093]) ).
tcf(c_3695,plain,
~ v3_struct_0(sK571),
inference(cnf_transformation,[],[f14092]) ).
tcf(c_3696,plain,
v2_group_1(sK571),
inference(cnf_transformation,[],[f14091]) ).
tcf(c_3697,plain,
v3_group_1(sK571),
inference(cnf_transformation,[],[f14090]) ).
tcf(c_3698,plain,
v4_group_1(sK571),
inference(cnf_transformation,[],[f14089]) ).
tcf(c_3699,plain,
v3_realset2(sK571),
inference(cnf_transformation,[],[f14088]) ).
tcf(c_3700,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,[],[f14094]) ).
tcf(c_3701,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,sK572(X0,X1)) != sK572(X0,X1) )
| ( k1_group_1(X0,sK572(X0,X1),X1) != sK572(X0,X1) ) ),
inference(cnf_transformation,[],[f14098]) ).
tcf(c_3702,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK572(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,[],[f14097]) ).
tcf(c_3703,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,[],[f15676]) ).
tcf(c_3704,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,[],[f15677]) ).
tcf(c_3705,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,sK573(X0,X1)) != sK573(X0,X1) )
| ( k1_group_1(X0,sK573(X0,X1),X1) != sK573(X0,X1) ) ),
inference(cnf_transformation,[],[f14103]) ).
tcf(c_3706,plain,
! [X0: $i,X1: $i] :
( v2_group_1(X1)
| v3_struct_0(X1)
| m1_subset_1(sK573(X1,X0),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f14102]) ).
tcf(c_3707,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK574(X0),u1_struct_0(X0))
| ~ v2_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14101]) ).
tcf(c_3708,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,X0,sK574(X1)) = X0 )
| ~ v2_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f14100]) ).
tcf(c_3709,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,sK574(X1),X0) = X0 )
| ~ v2_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f14099]) ).
tcf(c_3710,plain,
l1_group_1(sK575),
inference(cnf_transformation,[],[f14110]) ).
tcf(c_3711,plain,
~ v3_struct_0(sK575),
inference(cnf_transformation,[],[f14109]) ).
tcf(c_3712,plain,
v1_group_1(sK575),
inference(cnf_transformation,[],[f14108]) ).
tcf(c_3713,plain,
v2_group_1(sK575),
inference(cnf_transformation,[],[f14107]) ).
tcf(c_3714,plain,
v3_group_1(sK575),
inference(cnf_transformation,[],[f14106]) ).
tcf(c_3715,plain,
v4_group_1(sK575),
inference(cnf_transformation,[],[f14105]) ).
tcf(c_3717,plain,
l1_group_1(sK576),
inference(cnf_transformation,[],[f14116]) ).
tcf(c_3718,plain,
~ v3_struct_0(sK576),
inference(cnf_transformation,[],[f14115]) ).
tcf(c_3719,plain,
v1_group_1(sK576),
inference(cnf_transformation,[],[f14114]) ).
tcf(c_3720,plain,
v2_group_1(sK576),
inference(cnf_transformation,[],[f14113]) ).
tcf(c_3721,plain,
v3_group_1(sK576),
inference(cnf_transformation,[],[f14112]) ).
tcf(c_3722,plain,
v4_group_1(sK576),
inference(cnf_transformation,[],[f14111]) ).
tcf(c_3723,plain,
! [X0: $i] :
( v2_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14117]) ).
tcf(c_3724,plain,
! [X0: $i] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14121]) ).
tcf(c_3725,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,[],[f14120]) ).
tcf(c_3726,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,[],[f14119]) ).
tcf(c_3727,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,[],[f14122]) ).
tcf(c_3728,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,[],[f14123]) ).
tcf(c_3729,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)
| ~ v1_funct_1(X0)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_group_6(X0,X1,X2)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14124]) ).
tcf(c_3730,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,[],[f14125]) ).
tcf(c_3733,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,[],[f14127]) ).
tcf(c_3734,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,[],[f14126]) ).
tcf(c_3735,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,[],[f14130]) ).
tcf(c_3736,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,[],[f14131]) ).
tcf(c_3739,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,[],[f15678]) ).
tcf(c_3740,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,[],[f15679]) ).
tcf(c_3741,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)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l1_group_1(X4)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_group_6(X3,X2,X4)
| ~ v1_group_6(X0,X1,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))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14139]) ).
tcf(c_3742,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)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l1_group_1(X4)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_group_6(X3,X2,X4)
| ~ v1_group_6(X0,X1,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))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14138]) ).
tcf(c_3743,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)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l1_group_1(X4)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_group_6(X3,X2,X4)
| ~ v1_group_6(X0,X1,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))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14137]) ).
tcf(c_3744,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)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l1_group_1(X4)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_group_6(X3,X2,X4)
| ~ v1_group_6(X0,X1,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))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14136]) ).
tcf(c_3749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| sP39(X2,X4,X1,X3,X0)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X4,X0,X3)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X4,X0,X3)
| ~ m2_relset_1(X2,X0,X1)
| ( k8_funct_2(X0,X1,X2,sK578(X0,X3,X1,X4,X2)) != k8_funct_2(X0,X1,X2,sK579(X0,X3,X1,X4,X2)) ) ),
inference(cnf_transformation,[],[f14147]) ).
tcf(c_3750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP39(X3,X0,X4,X2,X1)
| ( k8_funct_2(X1,X2,X0,sK578(X1,X2,X4,X0,X3)) = k8_funct_2(X1,X2,X0,sK579(X1,X2,X4,X0,X3)) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X4)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14146]) ).
tcf(c_3751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP39(X3,X0,X4,X2,X1)
| m1_subset_1(sK579(X1,X2,X4,X0,X3),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X4)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14145]) ).
tcf(c_3752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP39(X3,X0,X4,X2,X1)
| m1_subset_1(sK578(X1,X2,X4,X0,X3),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X4)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14144]) ).
tcf(c_3754,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))
| ~ v1_funct_2(X4,X5,k5_finsub_1(X2))
| ~ v1_funct_2(X3,k5_finsub_1(X2),X0)
| ~ m2_relset_1(X4,X5,k5_finsub_1(X2))
| ~ m2_relset_1(X3,k5_finsub_1(X2),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,k8_funct_2(k5_finsub_1(X2),X0,X3,sK580(X0,X2,X1,X3)),k8_funct_2(k5_finsub_1(X2),X0,X3,sK581(X0,X2,X1,X3))) != k8_funct_2(k5_finsub_1(X2),X0,X3,k5_setwiseo(X2,sK580(X0,X2,X1,X3),sK581(X0,X2,X1,X3))) ) ),
inference(cnf_transformation,[],[f15336]) ).
tcf(c_3755,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(sK581(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))
| ~ v1_funct_2(X5,k5_finsub_1(X4),X1)
| ~ v1_funct_2(X2,X3,k5_finsub_1(X4))
| ~ m2_relset_1(X5,k5_finsub_1(X4),X1)
| ~ m2_relset_1(X2,X3,k5_finsub_1(X4))
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f15337]) ).
tcf(c_3756,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(sK580(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))
| ~ v1_funct_2(X5,k5_finsub_1(X4),X1)
| ~ v1_funct_2(X2,X3,k5_finsub_1(X4))
| ~ m2_relset_1(X5,k5_finsub_1(X4),X1)
| ~ m2_relset_1(X2,X3,k5_finsub_1(X4))
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f15338]) ).
tcf(c_3757,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,[],[f14152]) ).
tcf(c_3758,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,[],[f14155]) ).
tcf(c_3759,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,[],[f14154]) ).
tcf(c_3760,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,[],[f14153]) ).
tcf(c_3761,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,[],[f14156]) ).
tcf(c_3762,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)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14157]) ).
tcf(c_3763,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)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f14158]) ).
tcf(c_3764,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)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f15764]) ).
tcf(c_3765,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)
| ~ v10_lattices(X0)
| ~ v17_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,[],[f15765]) ).
tcf(c_3766,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,[],[f14161]) ).
tcf(c_3767,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)
| ~ v10_lattices(X0)
| ~ v17_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,[],[f14162]) ).
tcf(c_3768,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)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f14163]) ).
tcf(c_3769,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)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f14164]) ).
tcf(c_3770,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k7_lattices(X1,k7_lattices(X1,X0)) = X0 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f14165]) ).
tcf(c_3771,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_setwiseo(X1,X0,X2) = k2_xboole_0(X0,X2) )
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f14166]) ).
tcf(c_3772,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,[],[f14167]) ).
tcf(c_3773,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,[],[f14168]) ).
tcf(c_3774,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,[],[f14169]) ).
tcf(c_3775,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ( k2_tarski(X0,X0) = k2_setwiseo(X1,X0) )
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f15339]) ).
tcf(c_3776,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,[],[f14171]) ).
tcf(c_3777,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))
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X4,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ( k2_partfun1(X0,X1,X2,X3) != k2_partfun1(X0,X1,X4,X3) ) ),
inference(cnf_transformation,[],[f14172]) ).
tcf(c_3778,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)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ r1_tarski(k2_funct_2(X0,X1,X2,X3),X4) ),
inference(cnf_transformation,[],[f14175]) ).
tcf(c_3779,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)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ r1_tarski(k2_funct_2(X0,X1,X2,X3),X4) ),
inference(cnf_transformation,[],[f14174]) ).
tcf(c_3780,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)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ r1_tarski(k2_funct_2(X0,X1,X2,X3),X4) ),
inference(cnf_transformation,[],[f14173]) ).
tcf(c_3781,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))
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ( k2_funct_2(X0,X1,X2,X3) != np__0 ) ),
inference(cnf_transformation,[],[f15340]) ).
tcf(c_3782,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))
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ r2_hidden(k8_funct_2(X0,X1,X2,sK582(X0,X1,X3,X4,X2)),X4) ),
inference(cnf_transformation,[],[f14179]) ).
tcf(c_3783,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(sK582(X1,X2,X3,X4,X0),X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14178]) ).
tcf(c_3784,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(sK582(X1,X2,X3,X4,X0),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14177]) ).
tcf(c_3785,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)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f15341]) ).
tcf(c_3786,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))
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14181]) ).
tcf(c_3787,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,[],[f14182]) ).
tcf(c_3788,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,[],[f14183]) ).
tcf(c_3789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK583(X1,X4,X3,X0),X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f14186]) ).
tcf(c_3790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k1_funct_1(X3,sK583(X1,X4,X3,X0)) = X0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f14185]) ).
tcf(c_3791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m1_subset_1(sK583(X1,X4,X3,X0),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f14184]) ).
tcf(c_3792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK584(X1,X4,X3,X0),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f14189]) ).
tcf(c_3793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK584(X1,X4,X3,X0),X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f14188]) ).
tcf(c_3794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k1_funct_1(X3,sK584(X1,X4,X3,X0)) = X0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f14187]) ).
tcf(c_3795,plain,
! [X0: $i,X1: $i] :
( ( k2_funct_2(X1,X1,X0,X1) = k2_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f14190]) ).
tcf(c_3796,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)
| ~ v1_funct_2(X0,k2_tarski(X1,X1),X2)
| ~ m2_relset_1(X0,k2_tarski(X1,X1),X2) ),
inference(cnf_transformation,[],[f15342]) ).
tcf(c_3797,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_funct_2(np__0,X1,X0,X2) = np__0 )
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,np__0,X1)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f15343]) ).
tcf(c_3798,plain,
! [X0: $i,X1: $i] :
( ( k2_funct_2(np__0,X1,X0,np__0) = k2_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,np__0,X1)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f15680]) ).
tcf(c_3799,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)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f15345]) ).
tcf(c_3800,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,[],[f14195]) ).
tcf(c_3801,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,[],[f14196]) ).
tcf(c_3802,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,[],[f14200]) ).
tcf(c_3803,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,[],[f14199]) ).
tcf(c_3804,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,[],[f14198]) ).
tcf(c_3805,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,[],[f14197]) ).
tcf(c_3806,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,[],[f14202]) ).
tcf(c_3807,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,[],[f14201]) ).
tcf(c_3808,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,[],[f14203]) ).
tcf(c_3809,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,[],[f14204]) ).
tcf(c_3810,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,[],[f14205]) ).
tcf(c_3811,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,[],[f14206]) ).
tcf(c_3812,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,[],[f14207]) ).
tcf(c_3813,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,sK585(X0,X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f15766]) ).
tcf(c_3814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,k4_lattices(X0,X1,sK585(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,[],[f15767]) ).
tcf(c_3815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK585(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,[],[f15768]) ).
tcf(c_3816,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,[],[f15769]) ).
tcf(c_3817,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,[],[f15770]) ).
tcf(c_3818,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m1_lattice4(sK586(X0,X1),X0,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f14213]) ).
tcf(c_3819,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,[],[f14216]) ).
tcf(c_3820,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,[],[f14215]) ).
tcf(c_3821,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,[],[f14214]) ).
tcf(c_3822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X4)
| v3_struct_0(X0)
| r3_lattices(X4,k8_funct_2(u1_struct_0(X0),u1_struct_0(X4),X3,X1),k8_funct_2(u1_struct_0(X0),u1_struct_0(X4),X3,X2))
| ~ l3_lattices(X4)
| ~ l3_lattices(X0)
| ~ v10_lattices(X4)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_lattice4(X3,X0,X4)
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f14217]) ).
tcf(c_3823,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)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ( k3_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,sK587(X1,X0,X2)),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,sK588(X1,X0,X2))) != k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,k3_lattices(X1,sK587(X1,X0,X2),sK588(X1,X0,X2))) )
| ( k4_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,sK587(X1,X0,X2)),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,sK588(X1,X0,X2))) != k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,k4_lattices(X1,sK587(X1,X0,X2),sK588(X1,X0,X2))) ) ),
inference(cnf_transformation,[],[f14222]) ).
tcf(c_3824,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m1_lattice4(X0,X1,X2)
| m1_subset_1(sK588(X1,X2,X0),u1_struct_0(X1))
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14221]) ).
tcf(c_3825,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m1_lattice4(X0,X1,X2)
| m1_subset_1(sK587(X1,X2,X0),u1_struct_0(X1))
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14220]) ).
tcf(c_3826,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)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14219]) ).
tcf(c_3827,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)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14218]) ).
tcf(c_3828,plain,
! [X0: $i] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u1_cat_1(X0)) ),
inference(cnf_transformation,[],[f14223]) ).
tcf(c_3829,plain,
l1_cat_1(sK589),
inference(cnf_transformation,[],[f14224]) ).
tcf(c_3830,plain,
l1_cat_1(sK590),
inference(cnf_transformation,[],[f14226]) ).
tcf(c_3831,plain,
v2_cat_1(sK590),
inference(cnf_transformation,[],[f14225]) ).
tcf(c_3832,plain,
! [X0: $i] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u2_cat_1(X0)) ),
inference(cnf_transformation,[],[f14227]) ).
tcf(c_3833,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,[],[f14229]) ).
tcf(c_3834,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,[],[f14228]) ).
tcf(c_3835,plain,
! [X0: $i] :
( v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f14232]) ).
tcf(c_3836,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,[],[f14231]) ).
tcf(c_3837,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,[],[f14230]) ).
tcf(c_3838,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,[],[f14233]) ).
tcf(c_3839,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14234]) ).
tcf(c_3840,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k7_relat_1(k8_relat_1(X1,X0),X2),X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14235]) ).
tcf(c_3841,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(k8_relat_1(X1,X0),X2) = k3_partfun1(X0,X2,X1) )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14236]) ).
tcf(c_3842,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(k7_relat_1(k8_relat_1(X1,X0),X2))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14238]) ).
tcf(c_3843,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(k7_relat_1(k8_relat_1(X1,X0),X2),X2,X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14237]) ).
tcf(c_3844,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15346]) ).
tcf(c_3845,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(k8_relat_1(X1,X0),X2),k9_relat_1(X0,X2))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14240]) ).
tcf(c_3846,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(k8_relat_1(X1,X0))
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14241]) ).
tcf(c_3849,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(k8_relat_1(X1,X0)),k1_relat_1(X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14245]) ).
tcf(c_3851,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k8_relat_1(X1,X2),X0) = k1_funct_1(X2,X0) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_relat_1(k8_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f14246]) ).
tcf(c_3852,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,k1_relat_1(k8_relat_1(X2,X0)))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f14249]) ).
tcf(c_3853,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_relat_1(X2))
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_relat_1(k8_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f14248]) ).
tcf(c_3854,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X2,X0),X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_relat_1(k8_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f14247]) ).
tcf(c_3855,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_relat_1(X1,X0) = X2 )
| ~ sP41(X2,X1,X0)
| ~ sP40(X0,X1,X2) ),
inference(cnf_transformation,[],[f14251]) ).
tcf(c_3856,plain,
! [X0: $i,X1: $i] :
( sP40(X1,X0,k8_relat_1(X0,X1))
| ~ sP41(k8_relat_1(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f15683]) ).
tcf(c_3867,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP41(X0,X2,X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14262]) ).
tcf(c_3869,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k8_relat_1(X1,X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14263]) ).
tcf(c_3870,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k8_relat_1(X1,X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14265]) ).
tcf(c_3871,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,[],[f14266]) ).
tcf(c_3872,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,[],[f14267]) ).
tcf(c_3873,plain,
! [X0: $i] : k8_relat_1(X0,np__0) = np__0,
inference(cnf_transformation,[],[f15347]) ).
tcf(c_3874,plain,
! [X0: $i] :
( ( k8_relat_1(np__0,X0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15348]) ).
tcf(c_3875,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,[],[f14270]) ).
tcf(c_3876,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,[],[f15349]) ).
tcf(c_3877,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(k8_relat_1(X1,X0),k8_relat_1(X2,X0)) = k8_relat_1(k2_xboole_0(X1,X2),X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14272]) ).
tcf(c_3878,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,[],[f14273]) ).
tcf(c_3879,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,[],[f14274]) ).
tcf(c_3880,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,[],[f14275]) ).
tcf(c_3881,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,[],[f14276]) ).
tcf(c_3882,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,[],[f14277]) ).
tcf(c_3883,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,[],[f14278]) ).
tcf(c_3884,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,[],[f15350]) ).
tcf(c_3885,plain,
! [X0: $i] :
( ( k8_relat_1(k2_relat_1(X0),X0) = X0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14280]) ).
tcf(c_3886,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,[],[f14281]) ).
tcf(c_3887,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,[],[f15351]) ).
tcf(c_3888,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,[],[f14283]) ).
tcf(c_3889,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,[],[f14284]) ).
tcf(c_3890,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,[],[f14285]) ).
tcf(c_3891,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,[],[f15352]) ).
tcf(c_3892,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,[],[f14287]) ).
tcf(c_3893,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k8_relat_1(X1,X0),X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14288]) ).
tcf(c_3894,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(k8_relat_1(X1,X0)),X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14289]) ).
tcf(c_3895,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,[],[f14292]) ).
tcf(c_3896,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,[],[f14291]) ).
tcf(c_3897,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,[],[f14290]) ).
tcf(c_3898,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(sK594(X0,X1,X2),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK593(X0,X1,X2),sK594(X0,X1,X2)),k2_tarski(sK593(X0,X1,X2),sK593(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK593(X0,X1,X2),sK594(X0,X1,X2)),k2_tarski(sK593(X0,X1,X2),sK593(X0,X1,X2))),X1) ),
inference(cnf_transformation,[],[f15353]) ).
tcf(c_3899,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK594(X2,X0,X1),X2)
| r2_hidden(k2_tarski(k2_tarski(sK593(X2,X0,X1),sK594(X2,X0,X1)),k2_tarski(sK593(X2,X0,X1),sK593(X2,X0,X1))),X1)
| ( k8_relat_1(X2,X0) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15354]) ).
tcf(c_3900,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK593(X2,X0,X1),sK594(X2,X0,X1)),k2_tarski(sK593(X2,X0,X1),sK593(X2,X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK593(X2,X0,X1),sK594(X2,X0,X1)),k2_tarski(sK593(X2,X0,X1),sK593(X2,X0,X1))),X0)
| ( k8_relat_1(X2,X0) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15355]) ).
tcf(c_3901,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)
| ~ v1_relat_1(k8_relat_1(X3,X2))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(cnf_transformation,[],[f15684]) ).
tcf(c_3902,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_tarski(X0,X0)),k8_relat_1(X2,X3)) ),
inference(cnf_transformation,[],[f15685]) ).
tcf(c_3903,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)
| ~ v1_relat_1(k8_relat_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k8_relat_1(X2,X3)) ),
inference(cnf_transformation,[],[f15686]) ).
tcf(c_3904,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,[],[f15687]) ).
tcf(c_3905,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(cnf_transformation,[],[f15360]) ).
tcf(c_3907,plain,
! [X0: $i,X1: $i] :
( v1_relat_2(k2_xboole_0(X0,X1))
| ~ v1_relat_2(X1)
| ~ v1_relat_2(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14304]) ).
tcf(c_3908,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,[],[f15361]) ).
tcf(c_3909,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,[],[f14306]) ).
tcf(c_3910,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,[],[f14305]) ).
tcf(c_3911,plain,
! [X0: $i] :
( v1_relat_2(k4_relat_1(X0))
| ~ v1_relat_2(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14307]) ).
tcf(c_3912,plain,
! [X0: $i] :
( v1_relat_2(X0)
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14308]) ).
tcf(c_3913,plain,
! [X0: $i] :
( v8_relat_2(k4_relat_1(X0))
| ~ v8_relat_2(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14309]) ).
tcf(c_3914,plain,
! [X0: $i] :
( v3_relat_2(k4_relat_1(X0))
| ~ v3_relat_2(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14310]) ).
tcf(c_3915,plain,
! [X0: $i] :
( v3_relat_2(X0)
| ~ v1_relat_1(X0)
| ( k4_relat_1(X0) != X0 ) ),
inference(cnf_transformation,[],[f14312]) ).
tcf(c_3916,plain,
! [X0: $i] :
( ( k4_relat_1(X0) = X0 )
| ~ v3_relat_2(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14311]) ).
tcf(c_3917,plain,
! [X0: $i] :
( ( k4_relat_1(X0) = k2_funct_1(X0) )
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14313]) ).
tcf(c_3919,plain,
! [X0: $i] :
( v1_funct_1(k4_relat_1(X0))
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14314]) ).
tcf(c_3920,plain,
! [X0: $i] :
( ( k4_relat_1(k4_relat_1(X0)) = X0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14316]) ).
tcf(c_3921,plain,
! [X0: $i] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14317]) ).
tcf(c_3922,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,[],[f15362]) ).
tcf(c_3923,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,[],[f15363]) ).
tcf(c_3924,plain,
! [X0: $i] : k4_relat_1(k6_partfun1(X0)) = k6_partfun1(X0),
inference(cnf_transformation,[],[f15364]) ).
tcf(c_3925,plain,
k4_relat_1(np__0) = np__0,
inference(cnf_transformation,[],[f15365]) ).
tcf(c_3926,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,[],[f14322]) ).
tcf(c_3927,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,[],[f14323]) ).
tcf(c_3928,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k4_relat_1(X0),k4_relat_1(X1)) = k4_relat_1(k2_xboole_0(X0,X1)) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14324]) ).
tcf(c_3929,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,[],[f15366]) ).
tcf(c_3930,plain,
! [X0: $i] :
( ( k1_relat_1(k4_relat_1(X0)) = k2_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14327]) ).
tcf(c_3931,plain,
! [X0: $i] :
( ( k2_relat_1(k4_relat_1(X0)) = k1_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14326]) ).
tcf(c_3932,plain,
! [X0: $i,X1: $i] :
( ( k4_relat_1(X0) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK595(X0,X1),sK596(X0,X1)),k2_tarski(sK595(X0,X1),sK595(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK596(X0,X1),sK595(X0,X1)),k2_tarski(sK596(X0,X1),sK596(X0,X1))),X0) ),
inference(cnf_transformation,[],[f15367]) ).
tcf(c_3933,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK595(X0,X1),sK596(X0,X1)),k2_tarski(sK595(X0,X1),sK595(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK596(X0,X1),sK595(X0,X1)),k2_tarski(sK596(X0,X1),sK596(X0,X1))),X0)
| ( k4_relat_1(X0) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15368]) ).
tcf(c_3934,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)
| ~ v1_relat_1(k4_relat_1(X2))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(cnf_transformation,[],[f15688]) ).
tcf(c_3935,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,X0),k2_tarski(X1,X1)),X2)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(k4_relat_1(X2))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k4_relat_1(X2)) ),
inference(cnf_transformation,[],[f15689]) ).
tcf(c_3936,plain,
! [X0: $i] :
( v1_xboole_0(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f14333]) ).
tcf(c_3937,plain,
! [X0: $i] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f14332]) ).
tcf(c_3938,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)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(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,[],[f14336]) ).
tcf(c_3939,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)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(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,[],[f14335]) ).
tcf(c_3940,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(X3,X1),k1_domain_1(X3,X1,X4,X5),k7_filter_1(X3,X1,X2,X0))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X3)
| ~ r2_binop_1(X3,X4,X2)
| ~ r2_binop_1(X1,X5,X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14334]) ).
tcf(c_3941,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)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,sK597(X0,X2,X1),X2) != sK597(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f14339]) ).
tcf(c_3942,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r2_binop_1(X1,X2,X0)
| m1_subset_1(sK597(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14338]) ).
tcf(c_3943,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14337]) ).
tcf(c_3944,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14340]) ).
tcf(c_3945,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14342]) ).
tcf(c_3946,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14341]) ).
tcf(c_3947,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14344]) ).
tcf(c_3949,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14347]) ).
tcf(c_3950,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14346]) ).
tcf(c_3951,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14345]) ).
tcf(c_3952,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ( k1_binop_1(X0,sK598(X1,X2,X0),X2) != sK598(X1,X2,X0) ) ),
inference(cnf_transformation,[],[f14350]) ).
tcf(c_3953,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_binop_1(X1,X2,X0)
| m1_subset_1(sK598(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14349]) ).
tcf(c_3954,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14348]) ).
tcf(c_3955,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)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(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,[],[f14353]) ).
tcf(c_3956,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)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(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,[],[f14352]) ).
tcf(c_3957,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(X3,X1),k1_domain_1(X3,X1,X4,X5),k7_filter_1(X3,X1,X2,X0))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X3)
| ~ r1_binop_1(X3,X4,X2)
| ~ r1_binop_1(X1,X5,X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14351]) ).
tcf(c_3958,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)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,X2,sK599(X0,X2,X1)) != sK599(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f14356]) ).
tcf(c_3959,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r1_binop_1(X1,X2,X0)
| m1_subset_1(sK599(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14355]) ).
tcf(c_3960,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14354]) ).
tcf(c_3961,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14358]) ).
tcf(c_3963,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_binop_1(X2,X1,X0)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X1,X2)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ( k1_binop_1(X0,X1,sK600(X2,X1,X0)) != sK600(X2,X1,X0) ) ),
inference(cnf_transformation,[],[f14361]) ).
tcf(c_3964,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_binop_1(X1,X2,X0)
| m1_subset_1(sK600(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14360]) ).
tcf(c_3965,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)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14359]) ).
tcf(c_3967,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,[],[f14364]) ).
tcf(c_3968,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,[],[f14363]) ).
tcf(c_3970,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,[],[f14366]) ).
tcf(c_3972,plain,
! [X0: $i] : v3_relat_2(k6_partfun1(X0)),
inference(cnf_transformation,[],[f14371]) ).
tcf(c_3973,plain,
! [X0: $i] : v8_relat_2(k6_partfun1(X0)),
inference(cnf_transformation,[],[f14370]) ).
tcf(c_3976,plain,
! [X0: $i,X1: $i] : k1_funct_4(k6_partfun1(X0),k6_partfun1(X1)) = k6_partfun1(k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f14372]) ).
tcf(c_3977,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k6_partfun1(X0),k6_partfun1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14374]) ).
tcf(c_3978,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(k6_partfun1(X0),k6_partfun1(X1)) ),
inference(cnf_transformation,[],[f14373]) ).
tcf(c_3979,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)
| ~ v1_funct_2(X0,X1,k2_relat_1(X0))
| ~ m2_relset_1(X0,X1,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f15690]) ).
tcf(c_3980,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)
| ~ v1_funct_2(X0,X1,k2_relat_1(X0))
| ~ m2_relset_1(X0,X1,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f15691]) ).
tcf(c_3981,plain,
! [X0: $i] : v1_partfun1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f14379]) ).
tcf(c_3982,plain,
! [X0: $i] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f14378]) ).
tcf(c_3983,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m1_relset_1(sK601(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,[],[f14386]) ).
tcf(c_3984,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(sK601(X0,X1)) ),
inference(cnf_transformation,[],[f14385]) ).
tcf(c_3985,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_relat_1(sK601(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,[],[f14384]) ).
tcf(c_3986,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_1(sK601(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,[],[f14383]) ).
tcf(c_3987,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_2(sK601(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,[],[f14382]) ).
tcf(c_3988,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_partfun1(sK601(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,[],[f14381]) ).
tcf(c_3989,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_group_6(sK601(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,[],[f14380]) ).
tcf(c_3990,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)
| ~ v1_funct_1(X0)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ 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,[],[f14388]) ).
tcf(c_3991,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)
| ~ v1_funct_1(X0)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ 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,[],[f14387]) ).
tcf(c_3993,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)
| ~ v1_funct_1(X0)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_group_6(X0,X1,X2)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14392]) ).
tcf(c_3994,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)
| ~ v1_funct_1(X0)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_group_6(X0,X1,X2)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14391]) ).
tcf(c_3995,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)
| ~ v1_funct_1(X0)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_group_6(X0,X1,X2)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14390]) ).
tcf(c_3996,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)
| ~ v1_funct_1(X2)
| ~ l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ m1_group_2(X3,X1)
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(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,[],[f14395]) ).
tcf(c_3997,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)
| ~ v1_funct_1(X2)
| ~ l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v1_group_6(X2,X0,X1)
| ~ v1_group_1(k13_group_6(X0,X1,X2))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_group_2(k13_group_6(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f15692]) ).
tcf(c_3998,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))
| ~ v1_funct_2(X2,X1,X4)
| ~ v1_funct_2(X0,X1,X4)
| ~ m2_relset_1(X2,X1,X4)
| ~ m2_relset_1(X0,X1,X4)
| ( k1_funct_1(X0,sK602(X1,X0,X2,X3)) != k1_funct_1(X2,sK602(X1,X0,X2,X3)) ) ),
inference(cnf_transformation,[],[f14398]) ).
tcf(c_3999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| r2_hidden(sK602(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))
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14397]) ).
tcf(c_4000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| m1_subset_1(sK602(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))
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14396]) ).
tcf(c_4001,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))
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14399]) ).
tcf(c_4002,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))
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14400]) ).
tcf(c_4003,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))
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X4)
| ~ m2_relset_1(X3,X1,X4)
| ~ m2_relset_1(X0,X1,X4)
| ( k1_funct_1(X0,sK603(X1,X2,X0,X3)) != k1_funct_1(X3,sK603(X1,X2,X0,X3)) ) ),
inference(cnf_transformation,[],[f14403]) ).
tcf(c_4004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| r2_hidden(sK603(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))
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14402]) ).
tcf(c_4005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| m1_subset_1(sK603(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))
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14401]) ).
tcf(c_4006,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))
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14404]) ).
tcf(c_4007,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))
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14405]) ).
tcf(c_4008,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)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14408]) ).
tcf(c_4009,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)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14407]) ).
tcf(c_4010,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)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14406]) ).
tcf(c_4011,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))
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X4)
| ~ m2_relset_1(X3,X1,X4)
| ~ m2_relset_1(X0,X1,X4)
| ( k1_funct_1(X0,sK604(X1,X2,X0,X3)) != k1_funct_1(X3,sK604(X1,X2,X0,X3)) ) ),
inference(cnf_transformation,[],[f14412]) ).
tcf(c_4012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| r2_hidden(sK604(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))
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14411]) ).
tcf(c_4013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| m1_subset_1(sK604(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))
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14410]) ).
tcf(c_4014,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))
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X4,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ( k2_partfun1(X0,X1,X2,X3) != k2_partfun1(X0,X1,X4,X3) ) ),
inference(cnf_transformation,[],[f14409]) ).
tcf(c_4015,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))
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14413]) ).
tcf(c_4016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_partfun1(X1,X2,X0,X3) = X0 )
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,X3)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14414]) ).
tcf(c_4018,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)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f15374]) ).
tcf(c_4019,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)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f15375]) ).
tcf(c_4020,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)
| ~ v1_funct_2(X0,np__0,X1)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f15693]) ).
tcf(c_4021,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)
| ~ v1_funct_2(X0,np__0,X1)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f15694]) ).
tcf(c_4022,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)
| ~ v1_funct_2(X0,np__0,X1)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f15695]) ).
tcf(c_4023,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,[],[f14421]) ).
tcf(c_4024,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,[],[f14423]) ).
tcf(c_4025,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,[],[f14422]) ).
tcf(c_4026,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15379]) ).
tcf(c_4027,plain,
l3_vectsp_1(sK605),
inference(cnf_transformation,[],[f14425]) ).
tcf(c_4028,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(cnf_transformation,[],[f15380]) ).
tcf(c_4029,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k2_tarski(sK606(X0),sK606(X0)) = u1_struct_0(X0) )
| ~ v3_realset2(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f15381]) ).
tcf(c_4030,plain,
! [X0: $i] :
( v3_realset2(X0)
| ~ l1_struct_0(X0)
| ( sK607(X0) != sK608(X0) ) ),
inference(cnf_transformation,[],[f14431]) ).
tcf(c_4031,plain,
! [X0: $i] :
( v3_realset2(X0)
| m1_subset_1(sK608(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f14430]) ).
tcf(c_4032,plain,
! [X0: $i] :
( v3_realset2(X0)
| m1_subset_1(sK607(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f14429]) ).
tcf(c_4033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ v3_realset2(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f14428]) ).
tcf(c_4034,plain,
l1_struct_0(sK609),
inference(cnf_transformation,[],[f14433]) ).
tcf(c_4035,plain,
v3_realset2(sK609),
inference(cnf_transformation,[],[f14432]) ).
tcf(c_4036,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,[],[f14436]) ).
tcf(c_4037,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,[],[f14435]) ).
tcf(c_4038,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,[],[f14434]) ).
tcf(c_4039,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))
| ~ 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))
| ~ 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))
| ~ 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,[],[f15700]) ).
tcf(c_4040,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)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(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,[],[f15701]) ).
tcf(c_4041,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)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(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,[],[f15702]) ).
tcf(c_4042,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)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(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,[],[f15703]) ).
tcf(c_4043,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)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(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,[],[f15704]) ).
tcf(c_4044,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)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(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,[],[f15705]) ).
tcf(c_4045,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,[],[f14443]) ).
tcf(c_4046,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k3_filter_0(X1,k4_subset_1(u1_struct_0(X1),X0,X2)) = k3_filter_0(X1,k5_filter_0(X1,X0,X2)) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f14444]) ).
tcf(c_4047,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,[],[f14446]) ).
tcf(c_4048,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,[],[f14445]) ).
tcf(c_4049,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,[],[f14447]) ).
tcf(c_4050,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,[],[f14448]) ).
tcf(c_4051,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,sK610(X1,X2,X0)) ),
inference(cnf_transformation,[],[f14453]) ).
tcf(c_4052,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| r1_tarski(X0,sK610(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,[],[f14452]) ).
tcf(c_4053,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(sK610(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,[],[f14451]) ).
tcf(c_4054,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,[],[f15706]) ).
tcf(c_4055,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,[],[f15707]) ).
tcf(c_4088,plain,
m2_relset_1(np__0,np__0,np__0),
inference(instantiation,[status(thm)],[c_646]) ).
tcf(c_4396,plain,
( sP8(np__0)
| ~ v1_funct_1(np__0)
| ~ v1_relat_1(np__0) ),
inference(instantiation,[status(thm)],[c_931]) ).
tcf(c_4399,plain,
( sP7(np__0)
| ~ sP8(np__0)
| ~ v2_funct_1(np__0) ),
inference(instantiation,[status(thm)],[c_920]) ).
tcf(c_4473,plain,
( v1_xreal_0(np__0)
| ~ v2_membered(np__0)
| ~ m1_subset_1(np__0,np__0) ),
inference(instantiation,[status(thm)],[c_1722]) ).
tcf(c_4505,plain,
( m1_subset_1(np__0,np__0)
| ~ v1_xboole_0(np__0) ),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_4613,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_1807]) ).
tcf(c_6488,plain,
! [X0: $i] : r2_wellord2(X0,k1_card_1(X0)),
inference(global_subsumption_just,[status(thm)],[c_2413,c_3500,c_2413]) ).
tcf(c_6503,plain,
! [X0: $i] :
( sP35(X0)
| ~ sP36(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3374,c_3364,c_3359,c_3374]) ).
tcf(c_6508,plain,
! [X0: $i] :
( v1_int_1(k6_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2291,c_1725,c_2291]) ).
tcf(c_6511,plain,
! [X0: $i] :
( v1_int_1(k2_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2290,c_1725,c_2290]) ).
tcf(c_6527,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1833,c_440,c_435,c_1833]) ).
tcf(c_6570,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X0,X1)
| ~ v1_classes2(X1)
| r2_hidden(k1_setfam_1(X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_3395,c_426,c_3395]) ).
tcf(c_6571,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_setfam_1(X0),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_6570]) ).
tcf(c_6572,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X0,X1)
| ~ v1_classes2(X1)
| r2_hidden(k3_tarski(X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_3394,c_426,c_3394]) ).
tcf(c_6573,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k3_tarski(X0),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_6572]) ).
tcf(c_6574,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X0,X1)
| ~ v1_classes2(X1)
| r2_hidden(k1_zfmisc_1(X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_3393,c_426,c_3393]) ).
tcf(c_6575,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_zfmisc_1(X0),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_6574]) ).
tcf(c_6605,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X0,X1)
| ~ v1_classes2(X1)
| r2_hidden(k2_tarski(X0,X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_3074,c_426,c_3074]) ).
tcf(c_6606,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(X0,X0),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_6605]) ).
tcf(c_6613,plain,
k4_finseq_1(np__0) = np__0,
inference(global_subsumption_just,[status(thm)],[c_2522,c_2079,c_2078,c_2077,c_2522]) ).
tcf(c_6623,plain,
k3_finseq_1(np__0) = np__0,
inference(global_subsumption_just,[status(thm)],[c_2075,c_2079,c_2078,c_2077,c_2075]) ).
tcf(c_6632,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_757,c_765,c_98]) ).
tcf(c_6633,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_6632]) ).
tcf(c_6646,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_2873,c_377,c_2873]) ).
tcf(c_6658,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_868,c_377,c_868]) ).
tcf(c_6660,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_867,c_377,c_867]) ).
tcf(c_6662,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_relat_1(X0),X2)
| ~ r2_hidden(X0,k1_funct_2(X1,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_3469,c_832,c_3472]) ).
tcf(c_6673,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_371,c_374]) ).
tcf(c_6674,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_6673]) ).
tcf(c_6677,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_3879,c_377,c_3879]) ).
tcf(c_6679,plain,
! [X0: $i,X1: $i] :
( r1_ordinal1(k2_xboole_0(X0,k2_tarski(X0,X0)),X1)
| ~ v3_ordinal1(X1)
| ~ r2_hidden(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_3527,c_2262,c_3527]) ).
tcf(c_6681,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_relat_1(X0) = X1 )
| ~ r2_hidden(X0,k1_funct_2(X1,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_3468,c_3470,c_96,c_3472,c_95,c_3468]) ).
tcf(c_6683,plain,
! [X0: $i] :
( ~ v3_ordinal1(X0)
| ~ v4_ordinal1(k2_xboole_0(X0,k2_tarski(X0,X0))) ),
inference(global_subsumption_just,[status(thm)],[c_2269,c_2274,c_2269]) ).
tcf(c_6686,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_1963,c_377,c_1963]) ).
tcf(c_6688,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_1916,c_377,c_1916]) ).
tcf(c_6690,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_1863,c_377,c_1863]) ).
tcf(c_6696,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X2,X1)
| ~ v1_classes2(X1)
| r2_hidden(k1_funct_2(X0,X2),X1) ),
inference(global_subsumption_just,[status(thm)],[c_3457,c_426,c_3457]) ).
tcf(c_6697,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_2(X0,X2),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_6696]) ).
tcf(c_6698,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X2,X1)
| ~ v1_classes2(X1)
| r2_hidden(k2_zfmisc_1(X0,X2),X1) ),
inference(global_subsumption_just,[status(thm)],[c_3456,c_426,c_3456]) ).
tcf(c_6699,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_zfmisc_1(X0,X2),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_6698]) ).
tcf(c_6700,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X2,X1)
| ~ v1_classes2(X1)
| r2_hidden(k5_xboole_0(X0,X2),X1) ),
inference(global_subsumption_just,[status(thm)],[c_3098,c_426,c_3098]) ).
tcf(c_6701,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k5_xboole_0(X0,X2),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_6700]) ).
tcf(c_6702,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X2,X1)
| ~ v1_classes2(X1)
| r2_hidden(k4_xboole_0(X0,X2),X1) ),
inference(global_subsumption_just,[status(thm)],[c_3097,c_426,c_3097]) ).
tcf(c_6703,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k4_xboole_0(X0,X2),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_6702]) ).
tcf(c_6704,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X2,X1)
| ~ v1_classes2(X1)
| r2_hidden(k2_xboole_0(X0,X2),X1) ),
inference(global_subsumption_just,[status(thm)],[c_3095,c_426,c_3095]) ).
tcf(c_6705,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_xboole_0(X0,X2),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_6704]) ).
tcf(c_6710,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X2,X1)
| ~ v1_classes2(X1)
| r2_hidden(k2_tarski(X0,X2),X1) ),
inference(global_subsumption_just,[status(thm)],[c_1985,c_426,c_1985]) ).
tcf(c_6711,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(X0,X2),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_6710]) ).
tcf(c_6726,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(global_subsumption_just,[status(thm)],[c_1560,c_1556]) ).
tcf(c_6728,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(global_subsumption_just,[status(thm)],[c_1558,c_1555]) ).
tcf(c_6736,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X2,X1)
| ~ v1_classes2(X1)
| r2_hidden(k4_xboole_0(X0,k4_xboole_0(X0,X2)),X1) ),
inference(global_subsumption_just,[status(thm)],[c_3096,c_426,c_3096]) ).
tcf(c_6737,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k4_xboole_0(X0,k4_xboole_0(X0,X2)),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_6736]) ).
tcf(c_6738,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_xboole_0(X0,k2_tarski(X0,X0)),X1)
| ~ v4_ordinal1(X1)
| ~ v3_ordinal1(X1)
| ~ r2_hidden(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2273,c_2262,c_2273]) ).
tcf(c_6752,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_1453,c_435,c_1453]) ).
tcf(c_6753,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_6752]) ).
tcf(c_6754,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_1263,c_399]) ).
tcf(c_6755,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0)
| ~ r1_tarski(X0,X1) ),
inference(renaming,[status(thm)],[c_6754]) ).
tcf(c_6756,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_1221,c_67,c_1221]) ).
tcf(c_6759,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_974,c_377,c_974]) ).
tcf(c_6761,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_973,c_377,c_973]) ).
tcf(c_6765,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_369,c_372]) ).
tcf(c_6766,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_6765]) ).
tcf(c_6779,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X2,X1)
| ~ v1_classes2(X1)
| r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0)),X1) ),
inference(global_subsumption_just,[status(thm)],[c_1986,c_426,c_1986]) ).
tcf(c_6780,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0)),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_6779]) ).
tcf(c_6781,plain,
! [X0: $i] :
( ( k2_finseq_1(k3_finseq_1(X0)) = k1_relat_1(X0) )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1326,c_2064,c_1326]) ).
tcf(c_6784,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_368,c_375]) ).
tcf(c_6785,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_6784]) ).
tcf(c_6790,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_1530,c_1531]) ).
tcf(c_6791,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_6790]) ).
tcf(c_6796,plain,
! [X0: $i,X1: $i] :
( ~ m1_filter_0(X0,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| sP4(X0,X1)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_463,c_1207,c_1208,c_463]) ).
tcf(c_6797,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| sP4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(renaming,[status(thm)],[c_6796]) ).
tcf(c_6799,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_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_2506,c_2478]) ).
tcf(c_6800,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(k7_finseq_1(X0,X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(renaming,[status(thm)],[c_6799]) ).
tcf(c_6801,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_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_2504,c_2477]) ).
tcf(c_6802,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k7_finseq_1(X0,X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(renaming,[status(thm)],[c_6801]) ).
tcf(c_6803,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_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_2503,c_2476]) ).
tcf(c_6804,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k7_finseq_1(X0,X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(renaming,[status(thm)],[c_6803]) ).
tcf(c_6810,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_906,c_959]) ).
tcf(c_6811,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_6810]) ).
tcf(c_6816,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_365,c_373]) ).
tcf(c_6818,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| r2_hidden(X0,X2)
| ~ v1_classes2(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_3080,c_3073]) ).
tcf(c_6820,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_1404,c_1359,c_1415,c_1404]) ).
tcf(c_6821,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_6820]) ).
tcf(c_6823,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_1403,c_1359,c_1415,c_1403]) ).
tcf(c_6824,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_6823]) ).
tcf(c_6825,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_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1325,c_1327,c_1325]) ).
tcf(c_6826,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(X0) = X1 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ( k1_relat_1(X0) != k2_finseq_1(X1) ) ),
inference(renaming,[status(thm)],[c_6825]) ).
tcf(c_6827,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_990,c_996]) ).
tcf(c_6832,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_3839,c_377,c_3839]) ).
tcf(c_6834,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_3704,c_3730,c_3704]) ).
tcf(c_6835,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_6834]) ).
tcf(c_6837,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_3703,c_3730,c_3703]) ).
tcf(c_6838,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_6837]) ).
tcf(c_6848,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1288,c_377,c_1288]) ).
tcf(c_6850,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_972,c_377,c_972]) ).
tcf(c_6851,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_6850]) ).
tcf(c_6858,plain,
! [X0: $i,X1: $i] :
( sP30(X0,X1,k3_funct_4(X0,X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2757,c_2730,c_2729,c_2757]) ).
tcf(c_6861,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k1_lattices(X0,X1,k6_lattices(X0)) = k6_lattices(X0) )
| ~ l2_lattices(X0)
| ~ v14_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1670,c_2585,c_1670]) ).
tcf(c_6862,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_lattices(X1,X0,k6_lattices(X1)) = k6_lattices(X1) )
| ~ l2_lattices(X1)
| ~ v14_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_6861]) ).
tcf(c_6864,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k1_lattices(X0,k6_lattices(X0),X1) = k6_lattices(X0) )
| ~ l2_lattices(X0)
| ~ v14_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1669,c_2585,c_1669]) ).
tcf(c_6865,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_lattices(X1,k6_lattices(X1),X0) = k6_lattices(X1) )
| ~ l2_lattices(X1)
| ~ v14_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_6864]) ).
tcf(c_6867,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_1631,c_2546,c_1631]) ).
tcf(c_6868,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_6867]) ).
tcf(c_6870,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_1630,c_2546,c_1630]) ).
tcf(c_6871,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_6870]) ).
tcf(c_6875,plain,
! [X0: $i] :
( sP22(k1_funct_1(X0,np__1),k1_funct_1(X0,k3_finseq_1(X0)))
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_xreal_0(np__1,k3_finseq_1(X0))
| ~ sP21(k3_finseq_1(X0),X0) ),
inference(global_subsumption_just,[status(thm)],[c_2444,c_2064,c_2444]) ).
tcf(c_6884,plain,
! [X0: $i,X1: $i] : k3_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)))) = k2_tarski(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_2872,c_1044,c_2872]) ).
tcf(c_6887,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(global_subsumption_just,[status(thm)],[c_1988,c_1989,c_1988]) ).
tcf(c_6890,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(global_subsumption_just,[status(thm)],[c_1987,c_1989,c_1987]) ).
tcf(c_6897,plain,
! [X0: $i,X1: $i] :
( sP10(X0,k7_finseq_1(X0,X1),X1)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1318,c_2478,c_2477,c_2476,c_1318]) ).
tcf(c_6908,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_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_xreal_0(X1,k3_finseq_1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1319,c_1240,c_1239,c_1238,c_1319]) ).
tcf(c_6909,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_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_xreal_0(X0,k3_finseq_1(X1)) ),
inference(renaming,[status(thm)],[c_6908]) ).
tcf(c_6913,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_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_xreal_0(X1,k3_finseq_1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1320,c_1240,c_1239,c_1238,c_1320]) ).
tcf(c_6914,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_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_xreal_0(X0,k3_finseq_1(X1)) ),
inference(renaming,[status(thm)],[c_6913]) ).
tcf(c_6918,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,X3,X2),X0)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_462,c_1207,c_1208,c_471]) ).
tcf(c_6919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r2_hidden(k4_lattices(X1,X2,X0),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_6918]) ).
tcf(c_6924,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_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1316,c_2478,c_2477,c_2476,c_1316]) ).
tcf(c_6934,plain,
! [X0: $i] : k1_relat_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) = k2_finseq_1(np__1),
inference(global_subsumption_just,[status(thm)],[c_3629,c_3616,c_3615,c_3629]) ).
tcf(c_6939,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),k5_lopclset(X0),X2,X1) = k3_lopclset(X0,X2,X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m2_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_611,c_612,c_614,c_613,c_611]) ).
tcf(c_6940,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_binop_1(k1_lopclset(X1),k1_lopclset(X1),k1_lopclset(X1),k5_lopclset(X1),X2,X0) = k3_lopclset(X1,X2,X0) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ m2_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1)) ),
inference(renaming,[status(thm)],[c_6939]) ).
tcf(c_6942,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k2_binop_1(k1_lopclset(X0),k1_lopclset(X0),k1_lopclset(X0),k4_lopclset(X0),X2,X1) = k2_lopclset(X0,X2,X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m2_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_604,c_605,c_607,c_606,c_604]) ).
tcf(c_6943,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_binop_1(k1_lopclset(X1),k1_lopclset(X1),k1_lopclset(X1),k4_lopclset(X1),X2,X0) = k2_lopclset(X1,X2,X0) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ m2_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1)) ),
inference(renaming,[status(thm)],[c_6942]) ).
tcf(c_6945,plain,
! [X0: $i] :
( ( k3_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) = np__1 )
| ~ v1_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) ),
inference(global_subsumption_just,[status(thm)],[c_3626,c_3616,c_3615,c_3626]) ).
tcf(c_6950,plain,
! [X0: $i] : k1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1))),np__1) = X0,
inference(global_subsumption_just,[status(thm)],[c_3624,c_3616,c_3615,c_3630]) ).
tcf(c_6952,plain,
! [X0: $i] :
( ( k4_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) = k2_finseq_1(np__1) )
| ~ v1_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) ),
inference(global_subsumption_just,[status(thm)],[c_2517,c_3616,c_3615,c_2517]) ).
tcf(c_6960,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_3827,c_3819,c_3821,c_3820,c_3827]) ).
tcf(c_6961,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_6960]) ).
tcf(c_6963,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_3826,c_3819,c_3821,c_3820,c_3826]) ).
tcf(c_6964,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_6963]) ).
tcf(c_6966,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_573,c_1553,c_573]) ).
tcf(c_6967,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_6966]) ).
tcf(c_6969,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_298,c_3131,c_3133,c_543,c_546]) ).
tcf(c_6970,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X1,X2))),k4_xboole_0(k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X1,X2))),k2_xboole_0(X2,X0))) = k2_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k2_xboole_0(k4_xboole_0(X1,k4_xboole_0(X1,X2)),k4_xboole_0(X2,k4_xboole_0(X2,X0)))),
inference(theory_normalisation,[status(thm)],[c_308,c_3131,c_3133,c_543,c_546]) ).
tcf(c_6974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k2_xboole_0(X0,k2_xboole_0(X2,X3)),X1)
| ~ r1_xboole_0(X3,X1)
| ~ r1_xboole_0(X2,X1)
| ~ r1_xboole_0(X0,X1) ),
inference(theory_normalisation,[status(thm)],[c_692,c_3131,c_3133,c_543,c_546]) ).
tcf(c_6975,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k5_xboole_0(X1,k2_xboole_0(X0,X1))) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_3127,c_3131,c_3133,c_543,c_546]) ).
tcf(c_6979,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_99]) ).
tcf(c_6981,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_1622]) ).
tcf(c_6982,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_6981]) ).
tcf(c_6983,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_1621]) ).
tcf(c_6991,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_1625]) ).
tcf(c_6995,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X1,X2))
| ~ r1_tarski(k4_xboole_0(X0,X1),X2) ),
inference(prop_impl_just,[status(thm)],[c_524]) ).
tcf(c_7005,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_735]) ).
tcf(c_7006,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_7005]) ).
tcf(c_7007,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_736]) ).
tcf(c_7011,plain,
! [X0: $i,X1: $i] :
( ( k1_card_1(X0) = k1_card_1(X1) )
| ~ r2_wellord2(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_2411]) ).
tcf(c_7079,plain,
! [X0: $i] :
( m1_pre_topc(sK81(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_330]) ).
tcf(c_7085,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_6756]) ).
tcf(c_7115,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_6527]) ).
tcf(c_7135,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(prop_impl_just,[status(thm)],[c_426]) ).
tcf(c_7136,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_7135]) ).
tcf(c_7147,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_1621,c_95]) ).
tcf(c_7148,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_7147]) ).
tcf(c_7149,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_276]) ).
tcf(c_7151,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_278]) ).
tcf(c_7165,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_1844]) ).
tcf(c_7171,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_1866]) ).
tcf(c_7183,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_1874]) ).
tcf(c_7187,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_1905]) ).
tcf(c_7189,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_1890]) ).
tcf(c_7195,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_1927]) ).
tcf(c_7201,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_1913]) ).
tcf(c_7207,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_1921]) ).
tcf(c_7211,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_1925]) ).
tcf(c_7219,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_1966]) ).
tcf(c_7229,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_1973]) ).
tcf(c_7255,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k8_relat_1(X1,X0))
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3870]) ).
tcf(c_7263,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_3876]) ).
tcf(c_7269,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_3884]) ).
tcf(c_7273,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_3887]) ).
tcf(c_7275,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_3891]) ).
tcf(c_7281,plain,
! [X0: $i] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3921]) ).
tcf(c_7285,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_3922]) ).
tcf(c_7287,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_3923]) ).
tcf(c_7297,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X1,k4_xboole_0(X1,k2_tarski(X0,X0))) = k2_tarski(X0,X0) )
| ~ r2_hidden(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_289]) ).
tcf(c_7311,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X0,X0),X1)) = k2_tarski(X0,X0) )
| ~ r2_hidden(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_2012]) ).
tcf(c_7347,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k2_xboole_0(X0,X2),k4_xboole_0(k2_xboole_0(X0,X2),X1)) = k2_xboole_0(X0,k4_xboole_0(X2,k4_xboole_0(X2,X1))) )
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_303]) ).
tcf(c_7349,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_305]) ).
tcf(c_7351,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_307]) ).
tcf(c_7353,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_99,c_338]) ).
tcf(c_7355,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_99,c_339]) ).
tcf(c_7357,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_99,c_362]) ).
tcf(c_7359,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_99,c_363]) ).
tcf(c_7375,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK116(X1,X0))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_99,c_616]) ).
tcf(c_7377,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(sK116(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_99,c_617]) ).
tcf(c_7379,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK116(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_99,c_618]) ).
tcf(c_7397,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k6_partfun1(X1),X0) = X0 )
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_99,c_2814]) ).
tcf(c_7401,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_99,c_3970]) ).
tcf(c_7411,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X0,k5_finsub_1(X1))
| r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_100,c_765]) ).
tcf(c_7412,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(renaming,[status(thm)],[c_7411]) ).
tcf(c_7449,plain,
! [X0: $i,X1: $i] :
( sP2(X0,X1,k6_pre_topc(X0,X1))
| ~ sP3(k6_pre_topc(X0,X1),X1,X0) ),
inference(prop_impl_just,[status(thm)],[c_176]) ).
tcf(c_7465,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_266]) ).
tcf(c_7515,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK189(X0),sK190(X0)),k2_tarski(sK189(X0),sK189(X0))),X0)
| v1_funct_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_1029]) ).
tcf(c_7516,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK189(X0),sK190(X0)),k2_tarski(sK189(X0),sK189(X0))),X0) ),
inference(renaming,[status(thm)],[c_7515]) ).
tcf(c_7517,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK189(X0),sK191(X0)),k2_tarski(sK189(X0),sK189(X0))),X0)
| v1_funct_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_1030]) ).
tcf(c_7518,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK189(X0),sK191(X0)),k2_tarski(sK189(X0),sK189(X0))),X0) ),
inference(renaming,[status(thm)],[c_7517]) ).
tcf(c_7525,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK219(X0),sK220(X0)),k2_tarski(sK219(X0),sK219(X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_1079]) ).
tcf(c_7531,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK224(X1,X2,X0),sK225(X1,X2,X0)),k2_tarski(sK224(X1,X2,X0),sK224(X1,X2,X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_1093]) ).
tcf(c_7533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_tarski(k2_tarski(sK77(X0,X1,X2,X3,X4),sK78(X0,X1,X2,X3,X4)),k2_tarski(sK77(X0,X1,X2,X3,X4),sK77(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_285]) ).
tcf(c_7535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK77(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_286]) ).
tcf(c_7537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK78(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_287]) ).
tcf(c_7543,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| ( k4_xboole_0(X0,k4_xboole_0(X0,k2_tarski(X1,X1))) != k2_tarski(X1,X1) ) ),
inference(prop_impl_just,[status(thm)],[c_290]) ).
tcf(c_7545,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1))) != k2_tarski(X0,X0) ) ),
inference(prop_impl_just,[status(thm)],[c_291]) ).
tcf(c_7557,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_328]) ).
tcf(c_7558,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_7557]) ).
tcf(c_7565,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_2010]) ).
tcf(c_7566,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_7565]) ).
tcf(c_7575,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_731]) ).
tcf(c_7699,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_3119,c_525]) ).
tcf(c_7700,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_7699]) ).
tcf(c_7745,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))) = k4_xboole_0(X0,k4_xboole_0(X0,X2)) )
| ~ r1_xboole_0(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_708]) ).
tcf(c_7749,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_710]) ).
tcf(c_7759,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_1750]) ).
tcf(c_7783,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_711]) ).
tcf(c_7784,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_7783]) ).
tcf(c_7787,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK130(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r1_xboole_0(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_730]) ).
tcf(c_7788,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK130(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(renaming,[status(thm)],[c_7787]) ).
tcf(c_7813,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_3120]) ).
tcf(c_7814,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_7813]) ).
tcf(c_7845,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_1621,c_831]) ).
tcf(c_7846,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_7845]) ).
tcf(c_7847,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_relset_1(X0,X1,X2)
| r1_tarski(k2_relat_1(X0),X2) ),
inference(prop_impl_just,[status(thm)],[c_1621,c_832]) ).
tcf(c_7848,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_relat_1(X0),X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_7847]) ).
tcf(c_7849,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,k1_funct_2(X1,X2))
| r1_tarski(k2_relat_1(X0),X2) ),
inference(prop_impl_just,[status(thm)],[c_6662]) ).
tcf(c_7850,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_relat_1(X0),X2)
| ~ r2_hidden(X0,k1_funct_2(X1,X2)) ),
inference(renaming,[status(thm)],[c_7849]) ).
tcf(c_7967,plain,
! [X0: $i] :
( ( k4_xboole_0(k2_xboole_0(X0,k2_tarski(X0,X0)),k2_tarski(X0,X0)) = X0 )
| ~ v3_ordinal1(X0) ),
inference(prop_impl_just,[status(thm)],[c_2263]) ).
tcf(c_7973,plain,
! [X0: $i] :
( ~ v4_ordinal1(k2_xboole_0(X0,k2_tarski(X0,X0)))
| ~ v3_ordinal1(X0) ),
inference(prop_impl_just,[status(thm)],[c_6683]) ).
tcf(c_7974,plain,
! [X0: $i] :
( ~ v3_ordinal1(X0)
| ~ v4_ordinal1(k2_xboole_0(X0,k2_tarski(X0,X0))) ),
inference(renaming,[status(thm)],[c_7973]) ).
tcf(c_7995,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))) )
| ( sK238(X0,X1) != sK239(X0,X1) ) ),
inference(prop_impl_just,[status(thm)],[c_1180]) ).
tcf(c_7997,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(sK238(X0,X1),sK239(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_1181]) ).
tcf(c_8023,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_2134]) ).
tcf(c_8025,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_2135]) ).
tcf(c_8027,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_2136]) ).
tcf(c_8041,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_2137]) ).
tcf(c_8043,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_2138]) ).
tcf(c_8073,plain,
! [X0: $i] :
( v1_int_1(k2_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_6511]) ).
tcf(c_8075,plain,
! [X0: $i] :
( v1_int_1(k6_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_6508]) ).
tcf(c_8125,plain,
! [X0: $i] :
( ~ l2_rlvect_1(X0)
| l1_rlvect_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3653]) ).
tcf(c_8126,plain,
! [X0: $i] :
( l1_rlvect_1(X0)
| ~ l2_rlvect_1(X0) ),
inference(renaming,[status(thm)],[c_8125]) ).
tcf(c_8275,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_1621,c_2807]) ).
tcf(c_8277,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_1621,c_2808]) ).
tcf(c_8279,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_relat_1(X0),k2_xboole_0(X1,X2))
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_1621,c_2866]) ).
tcf(c_8281,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,k1_funct_2(X1,X2))
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_1622,c_3472]) ).
tcf(c_8282,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ r2_hidden(X0,k1_funct_2(X1,X2)) ),
inference(renaming,[status(thm)],[c_8281]) ).
tcf(c_8369,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_1746]) ).
tcf(c_8371,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_1747]) ).
tcf(c_8403,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_1740]) ).
tcf(c_8405,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_1741]) ).
tcf(c_8407,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_1742]) ).
tcf(c_8471,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_2144]) ).
tcf(c_8473,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_2145]) ).
tcf(c_8475,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_2146]) ).
tcf(c_8487,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_2147]) ).
tcf(c_8635,plain,
! [X0: $i] :
( ( k7_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__1,np__0),k2_tarski(np__1,np__1))),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__1,np__0),k2_tarski(np__1,np__1))),k2_tarski(np__1,np__1))),k10_qc_lang1(X0)) = k12_qc_lang1(X0) )
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(prop_impl_just,[status(thm)],[c_3613]) ).
tcf(c_8639,plain,
! [X0: $i] :
( ( k4_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) = k2_finseq_1(np__1) )
| ~ v1_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) ),
inference(prop_impl_just,[status(thm)],[c_6952]) ).
tcf(c_8643,plain,
! [X0: $i] :
( ( k3_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) = np__1 )
| ~ v1_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,np__1)))) ),
inference(prop_impl_just,[status(thm)],[c_6945]) ).
tcf(c_8779,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(k4_xboole_0(X0,k2_tarski(X1,X1)))
| v1_realset1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3026,c_3019]) ).
tcf(c_8780,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| ~ v1_xboole_0(k4_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(renaming,[status(thm)],[c_8779]) ).
tcf(c_8845,plain,
! [X0: $i] :
( sP35(X0)
| ~ sP36(X0) ),
inference(prop_impl_just,[status(thm)],[c_6503]) ).
tcf(c_8873,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_relat_1(X0) = X1 )
| ~ r2_hidden(X0,k1_funct_2(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_6681]) ).
tcf(c_8903,plain,
! [X0: $i,X1: $i] :
( sP40(X1,X0,k8_relat_1(X0,X1))
| ~ sP41(k8_relat_1(X0,X1),X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_3856]) ).
tcf(c_9973,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK238(X0,X1),k2_xboole_0(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_1182]) ).
tcf(c_9975,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK239(X0,X1),k2_xboole_0(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_1183]) ).
tcf(c_14778,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_91,c_6979]) ).
tcf(c_14779,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| m2_subset_1(sK46(X1,X0),X1,X0)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_93,c_6979]) ).
tcf(c_14780,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_97,c_6979]) ).
tcf(c_14781,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_98,c_6979]) ).
tcf(c_14782,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK48(X1,X0),X1)
| ( X0 = X1 )
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_105,c_6979]) ).
tcf(c_14783,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| m1_subset_1(sK49(X2,X0),X2)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_107,c_6979]) ).
tcf(c_14784,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK50(X1,X0),X0)
| ( X0 = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_108,c_6979]) ).
tcf(c_14785,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK50(X1,X0),X1)
| ( X0 = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_109,c_6979]) ).
tcf(c_14786,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK51(X1,X2,X0),X2)
| r2_hidden(sK51(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_111,c_6979]) ).
tcf(c_14787,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK51(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_112,c_6979]) ).
tcf(c_14788,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r2_hidden(sK52(X1,X2,X0),X2)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_114,c_6979]) ).
tcf(c_14789,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| m1_subset_1(sK52(X1,X2,X0),X1)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_115,c_6979]) ).
tcf(c_14790,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_subset_1(X1,X2,X0) = k2_xboole_0(X2,X0) )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_236,c_6979]) ).
tcf(c_14791,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_237,c_6979]) ).
tcf(c_14792,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_238,c_6979]) ).
tcf(c_14793,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_239,c_6979]) ).
tcf(c_14794,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_240,c_6979]) ).
tcf(c_14795,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_241,c_6979]) ).
tcf(c_14796,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_242,c_6979]) ).
tcf(c_14797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK69(X1,X3,X0,X2),X3)
| r2_hidden(sK69(X1,X3,X0,X2),X2)
| r2_hidden(sK69(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_245,c_6979]) ).
tcf(c_14798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK69(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_246,c_6979]) ).
tcf(c_14799,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK82(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_343,c_6979]) ).
tcf(c_14800,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK83(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_346,c_6979]) ).
tcf(c_14801,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK84(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_349,c_6979]) ).
tcf(c_14802,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_350,c_6979]) ).
tcf(c_14803,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_351,c_6979]) ).
tcf(c_14804,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_353,c_6979]) ).
tcf(c_14805,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_354,c_6979]) ).
tcf(c_14806,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_355,c_6979]) ).
tcf(c_14807,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_356,c_6979]) ).
tcf(c_14808,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_359,c_6979]) ).
tcf(c_14809,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_361,c_6979]) ).
tcf(c_14810,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_364,c_6983]) ).
tcf(c_14811,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_6766,c_6983]) ).
tcf(c_14812,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_6816,c_6983]) ).
tcf(c_14813,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_6674,c_6983]) ).
tcf(c_14814,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_6785,c_6983]) ).
tcf(c_14815,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_400,c_6979]) ).
tcf(c_14816,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_406,c_6979]) ).
tcf(c_14817,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_407,c_6979]) ).
tcf(c_14818,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_408,c_6979]) ).
tcf(c_14819,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_409,c_6979]) ).
tcf(c_14820,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_410,c_6979]) ).
tcf(c_14821,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_411,c_6979]) ).
tcf(c_14822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK86(X1,X3,X0,X2),X3)
| r2_hidden(sK86(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_413,c_6979]) ).
tcf(c_14823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK86(X1,X3,X0,X2),X3)
| r2_hidden(sK86(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_414,c_6979]) ).
tcf(c_14824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK86(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_415,c_6979]) ).
tcf(c_14825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r1_tarski(k2_xboole_0(X3,X0),k2_zfmisc_1(k2_xboole_0(X4,X1),k2_xboole_0(X5,X2)))
| ~ m1_relset_1(X3,X4,X5)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(bin_hyper_res,[status(thm)],[c_495,c_6991]) ).
tcf(c_14826,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(bin_hyper_res,[status(thm)],[c_643,c_6982]) ).
tcf(c_14827,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_644,c_6983]) ).
tcf(c_14828,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_645,c_6983]) ).
tcf(c_14829,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_713,c_6995]) ).
tcf(c_14830,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_764,c_6979]) ).
tcf(c_14831,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_773,c_7011]) ).
tcf(c_14833,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_830,c_6983]) ).
tcf(c_14834,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X2)
| ~ r1_tarski(k1_relat_1(X0),X1) ),
inference(bin_hyper_res,[status(thm)],[c_833,c_6982]) ).
tcf(c_14835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK160(X1,X3,X0),X1)
| ( X3 = X0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_886,c_6983]) ).
tcf(c_14836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK161(X1,X3,X0),X1)
| ( X3 = X0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_891,c_6983]) ).
tcf(c_14837,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK163(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_894,c_6983]) ).
tcf(c_14838,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_896,c_6983]) ).
tcf(c_14839,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_897,c_6983]) ).
tcf(c_14840,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_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X4)
| ~ r2_hidden(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_915,c_6983]) ).
tcf(c_14841,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_989,c_6983]) ).
tcf(c_14842,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k2_relat_1(X0) != np__0 ) ),
inference(bin_hyper_res,[status(thm)],[c_993,c_6982]) ).
tcf(c_14843,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_6827,c_6983]) ).
tcf(c_14844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK177(X1,X2,X3),sK178(X1,X2,X3)),k2_tarski(sK177(X1,X2,X3),sK177(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_1009,c_6991]) ).
tcf(c_14845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK178(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_1010,c_6991]) ).
tcf(c_14846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK177(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_1011,c_6991]) ).
tcf(c_14847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK183(X1,X2,X3),sK184(X1,X2,X3)),k2_tarski(sK183(X1,X2,X3),sK183(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_1018,c_6983]) ).
tcf(c_14848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK183(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_1019,c_6983]) ).
tcf(c_14849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK184(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_1020,c_6983]) ).
tcf(c_14850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK211(X3,X0),sK212(X3,X0)),k2_tarski(sK211(X3,X0),sK211(X3,X0))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK211(X3,X0),sK212(X3,X0)),k2_tarski(sK211(X3,X0),sK211(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_1067,c_6991]) ).
tcf(c_14851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X3)
| r2_hidden(k2_tarski(k2_tarski(sK213(X0,X3),sK214(X0,X3)),k2_tarski(sK213(X0,X3),sK213(X0,X3))),X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_1069,c_6991]) ).
tcf(c_14852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK217(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_1076,c_6991]) ).
tcf(c_14853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK218(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_1077,c_6991]) ).
tcf(c_14854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK217(X1,X2,X3),sK218(X1,X2,X3)),k2_tarski(sK217(X1,X2,X3),sK217(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_1078,c_6991]) ).
tcf(c_14855,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_1224,c_6979]) ).
tcf(c_14856,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_1225,c_6979]) ).
tcf(c_14857,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_subset_1(X1,k3_subset_1(X1,X2),X0) = k3_subset_1(X1,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_1226,c_6979]) ).
tcf(c_14858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK248(X1,X3,X0,X2),X3)
| r2_hidden(sK248(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_1228,c_6979]) ).
tcf(c_14859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK248(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_1230,c_6979]) ).
tcf(c_14860,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_1450,c_6983]) ).
tcf(c_14862,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1758,c_6979]) ).
tcf(c_14863,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1759,c_6979]) ).
tcf(c_14865,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1761,c_6979]) ).
tcf(c_14868,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,sK316(X1,X2,X0)) = k8_funct_2(X1,X2,X0,sK317(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_1775,c_6983]) ).
tcf(c_14869,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(sK317(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_1776,c_6983]) ).
tcf(c_14870,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(sK316(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_1777,c_6983]) ).
tcf(c_14871,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP18(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_1804,c_6983]) ).
tcf(c_14872,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_1838,c_6983]) ).
tcf(c_14873,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_1839,c_6983]) ).
tcf(c_14874,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_1843,c_6983]) ).
tcf(c_14875,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_1942,c_6983]) ).
tcf(c_14877,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_2161,c_6979]) ).
tcf(c_14878,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_2162,c_6979]) ).
tcf(c_14879,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_2163,c_6979]) ).
tcf(c_14880,plain,
! [X0: $i,X1: $i] :
( v4_membered(X0)
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_2164,c_6979]) ).
tcf(c_14882,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_2166,c_6979]) ).
tcf(c_14883,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_2167,c_6979]) ).
tcf(c_14884,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_2168,c_6979]) ).
tcf(c_14886,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| r2_hidden(sK482(X1,X0),X0)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_3004,c_6979]) ).
tcf(c_14887,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| r2_hidden(sK483(X1,X0),X0)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_3005,c_6979]) ).
tcf(c_14888,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| m1_subset_1(sK483(X1,X0),X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_3007,c_6979]) ).
tcf(c_14889,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| m1_subset_1(sK482(X1,X0),X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_3008,c_6979]) ).
tcf(c_14890,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_3118,c_6995]) ).
tcf(c_14891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_card_1(k1_funct_2(X2,X0)) = k1_card_1(k1_funct_2(X3,X1)) )
| ~ r2_wellord2(X2,X3)
| ( k1_card_1(X0) != k1_card_1(X1) ) ),
inference(bin_hyper_res,[status(thm)],[c_3461,c_7011]) ).
tcf(c_14892,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_funct_2(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_3476,c_6983]) ).
tcf(c_14893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP39(X0,X3,X2,X4,X1)
| ( k8_funct_2(X1,X4,X3,sK578(X1,X4,X2,X3,X0)) = k8_funct_2(X1,X4,X3,sK579(X1,X4,X2,X3,X0)) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X1,X4)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3750,c_6983]) ).
tcf(c_14894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP39(X0,X3,X2,X4,X1)
| m1_subset_1(sK579(X1,X4,X2,X3,X0),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X1,X4)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3751,c_6983]) ).
tcf(c_14895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP39(X0,X3,X2,X4,X1)
| m1_subset_1(sK578(X1,X4,X2,X3,X0),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X1,X4)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3752,c_6983]) ).
tcf(c_14896,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(sK582(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_3783,c_6983]) ).
tcf(c_14897,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(sK582(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_3784,c_6983]) ).
tcf(c_14898,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(bin_hyper_res,[status(thm)],[c_3785,c_6983]) ).
tcf(c_14899,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_3786,c_6983]) ).
tcf(c_14900,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_3799,c_6983]) ).
tcf(c_14901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| r2_hidden(sK602(X1,X3,X0,X4),X4)
| ( k1_funct_4(X0,k2_partfun1(X1,X2,X3,X4)) = X0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3999,c_6983]) ).
tcf(c_14902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| m1_subset_1(sK602(X1,X3,X0,X4),X1)
| ( k1_funct_4(X0,k2_partfun1(X1,X2,X3,X4)) = X0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_4000,c_6983]) ).
tcf(c_14903,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_4001,c_6983]) ).
tcf(c_14904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| ( k1_funct_4(k2_partfun1(X1,X2,X3,X4),X0) = X0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_4002,c_6983]) ).
tcf(c_14905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| r2_hidden(sK603(X1,X4,X3,X0),X4)
| ( k1_funct_4(X0,k2_partfun1(X1,X2,X3,X4)) = X0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_4004,c_6983]) ).
tcf(c_14906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| m1_subset_1(sK603(X1,X4,X3,X0),X1)
| ( k1_funct_4(X0,k2_partfun1(X1,X2,X3,X4)) = X0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_4005,c_6983]) ).
tcf(c_14907,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_4006,c_6983]) ).
tcf(c_14908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| ( k1_funct_4(k2_partfun1(X1,X2,X3,X4),X0) = X0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_4007,c_6983]) ).
tcf(c_14909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v1_funct_1(k1_funct_4(X3,k2_partfun1(X1,X2,X0,X4)))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_4008,c_6983]) ).
tcf(c_14910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v1_funct_2(k1_funct_4(X3,k2_partfun1(X1,X2,X0,X4)),X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_4009,c_6983]) ).
tcf(c_14911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| m2_relset_1(k1_funct_4(X3,k2_partfun1(X1,X2,X0,X4)),X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_4010,c_6983]) ).
tcf(c_14912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| r2_hidden(sK604(X1,X4,X3,X0),X4)
| ( k2_partfun1(X1,X2,X3,X4) = k2_partfun1(X1,X2,X0,X4) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_4012,c_6983]) ).
tcf(c_14913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| m1_subset_1(sK604(X1,X4,X3,X0),X1)
| ( k2_partfun1(X1,X2,X3,X4) = k2_partfun1(X1,X2,X0,X4) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_4013,c_6983]) ).
tcf(c_14914,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_4015,c_6983]) ).
tcf(c_14915,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_4016,c_6983]) ).
tcf(c_14916,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_4018,c_6983]) ).
tcf(c_14917,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_4019,c_6983]) ).
tcf(c_15394,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(backward_subsumption_resolution,[status(thm)],[c_2860,c_2832]) ).
tcf(c_15395,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(backward_subsumption_resolution,[status(thm)],[c_2859,c_2832]) ).
tcf(c_15396,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(backward_subsumption_resolution,[status(thm)],[c_2858,c_2832]) ).
tcf(c_15465,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_3904,c_642]) ).
tcf(c_16262,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(backward_subsumption_resolution,[status(thm)],[c_3935,c_7281]) ).
tcf(c_16263,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(backward_subsumption_resolution,[status(thm)],[c_3934,c_7281]) ).
tcf(c_16610,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_470,c_7136]) ).
tcf(c_16611,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_469,c_7136]) ).
tcf(c_16612,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ sP4(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_lattices(X0,sK96(X0,X1),sK97(X0,X1)),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_457,c_7136]) ).
tcf(c_16613,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| ~ r2_hidden(k5_xboole_0(sK496(X0),sK497(X0)),X0)
| ~ r2_hidden(k2_xboole_0(sK496(X0),sK497(X0)),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3102,c_7136]) ).
tcf(c_16614,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_3040,c_7136]) ).
tcf(c_16615,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(sK99(X0,X1),X1)
| ~ r2_hidden(sK98(X0,X1),X1)
| ~ r2_hidden(k4_lattices(X0,sK98(X0,X1),sK99(X0,X1)),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_464,c_7136]) ).
tcf(c_16616,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| ~ r2_hidden(k4_xboole_0(sK500(X0),sK501(X0)),X0)
| ~ r2_hidden(k5_xboole_0(sK500(X0),sK501(X0)),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3108,c_7136]) ).
tcf(c_16617,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| ~ r2_hidden(k5_xboole_0(sK498(X0),sK499(X0)),X0)
| ~ r2_hidden(k4_xboole_0(sK498(X0),k4_xboole_0(sK498(X0),sK499(X0))),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3105,c_7136]) ).
tcf(c_16618,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ v1_classes2(X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6818,c_7136]) ).
tcf(c_16637,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(backward_subsumption_resolution,[status(thm)],[c_1938,c_7187]) ).
tcf(c_16638,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(backward_subsumption_resolution,[status(thm)],[c_1939,c_7187]) ).
tcf(c_16639,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(backward_subsumption_resolution,[status(thm)],[c_1937,c_7187]) ).
tcf(c_16646,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(backward_subsumption_resolution,[status(thm)],[c_3902,c_7255]) ).
tcf(c_16647,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(backward_subsumption_resolution,[status(thm)],[c_3903,c_7255]) ).
tcf(c_16648,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(backward_subsumption_resolution,[status(thm)],[c_3901,c_7255]) ).
tcf(c_19102,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_1962,c_377]) ).
tcf(c_19103,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_6851,c_377]) ).
tcf(c_19104,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_3878,c_377]) ).
tcf(c_19105,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_1908,c_377]) ).
tcf(c_19106,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_1915,c_377]) ).
tcf(c_19107,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_1862,c_377]) ).
tcf(c_19504,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X1,X0) = k1_funct_1(X2,X0) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(k2_xboole_0(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_267,c_498]) ).
tcf(c_20058,plain,
! [X0: $i,X1: $i] :
( r1_rfinseq(k5_relat_1(X0,X1),X1)
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(k5_relat_1(X0,X1))
| ( k1_relat_1(X1) != k2_relat_1(X0) )
| ( k1_relat_1(k5_relat_1(X0,X1)) != k1_relat_1(X0) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3683,c_6811]) ).
tcf(c_20059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK173(X2,X3,X0,X1)),k2_tarski(X0,X0)),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(backward_subsumption_resolution,[status(thm)],[c_983,c_6811]) ).
tcf(c_20060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK173(X2,X3,X0,X1),X1),k2_tarski(sK173(X2,X3,X0,X1),sK173(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(backward_subsumption_resolution,[status(thm)],[c_984,c_6811]) ).
tcf(c_20061,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(backward_subsumption_resolution,[status(thm)],[c_982,c_6811]) ).
tcf(c_20066,plain,
! [X0: $i,X1: $i] :
( r1_rfinseq(k5_relat_1(X0,X1),X1)
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k1_relat_1(k5_relat_1(X0,X1)) != k1_relat_1(X0) )
| ( k1_relat_1(X1) != k2_relat_1(X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_20058,c_958,c_20058]) ).
tcf(c_20067,plain,
! [X0: $i,X1: $i] :
( r1_rfinseq(k5_relat_1(X0,X1),X1)
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k1_relat_1(X1) != k2_relat_1(X0) )
| ( k1_relat_1(k5_relat_1(X0,X1)) != k1_relat_1(X0) ) ),
inference(renaming,[status(thm)],[c_20066]) ).
tcf(c_20231,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)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k2_tarski(X2,X2)),k4_xboole_0(X1,k2_tarski(X2,X2)))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3037,c_3032]) ).
tcf(c_20648,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))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ m2_relset_1(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_2998,c_6633]) ).
tcf(c_20649,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))
| ~ v1_funct_2(X3,X2,u1_struct_0(X0))
| ~ m2_relset_1(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_2975,c_6633]) ).
tcf(c_20650,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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2999,c_6633]) ).
tcf(c_20651,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))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2976,c_6633]) ).
tcf(c_20652,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))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2994,c_6633]) ).
tcf(c_20653,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))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k2_lattice2(X1,X0,X2,X3),X4) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2971,c_6633]) ).
tcf(c_20654,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))
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2615,c_6633]) ).
tcf(c_20769,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))
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2614,c_756]) ).
tcf(c_21544,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)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k2_tarski(X2,X2)),k4_xboole_0(X1,k2_tarski(X2,X2)))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_20231,c_3033]) ).
tcf(c_21552,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(backward_subsumption_resolution,[status(thm)],[c_21544,c_3034]) ).
tcf(c_23434,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)
| ~ v1_funct_2(X6,k2_zfmisc_1(X0,X0),X0)
| ~ 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_2802,c_2893]) ).
tcf(c_24626,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_23434,c_2894]) ).
tcf(c_24635,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_24626,c_2895]) ).
tcf(c_25126,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_68,c_332]) ).
tcf(c_27394,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_1537,c_1525]) ).
tcf(c_27395,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_1538,c_1525]) ).
tcf(c_27396,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_1536,c_1525]) ).
tcf(c_27410,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_6967,c_1554]) ).
tcf(c_27533,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_tarski(k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0))))) )
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(k3_funct_4(X2,X5))
| ~ 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(backward_subsumption_resolution,[status(thm)],[c_2758,c_2729]) ).
tcf(c_27545,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_tarski(k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0))))) )
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X5)
| ~ v1_relat_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(backward_subsumption_resolution,[status(thm)],[c_27533,c_2730]) ).
tcf(c_27716,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_27410,c_6726]) ).
tcf(c_27728,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_27716,c_6728]) ).
tcf(c_27780,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_16611,c_1208]) ).
tcf(c_27781,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_16610,c_1208]) ).
tcf(c_28034,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(backward_subsumption_resolution,[status(thm)],[c_2927,c_2862]) ).
tcf(c_28535,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_27728,c_6791]) ).
tcf(c_30787,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_28535,c_1527]) ).
tcf(c_30801,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_30787,c_1528]) ).
tcf(c_30970,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_4054,c_4045]) ).
tcf(c_30971,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_4055,c_4045]) ).
tcf(c_31165,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_30801,c_1529]) ).
tcf(c_31743,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_3816,c_3809]) ).
tcf(c_31744,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_3817,c_3809]) ).
tcf(c_33650,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_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v1_funct_1(k7_finseq_1(X1,X2))
| ~ v1_relat_1(k7_finseq_1(X1,X2))
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1317,c_6800]) ).
tcf(c_33666,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_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_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_33650,c_6802]) ).
tcf(c_33682,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_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_33666,c_6804]) ).
tcf(c_47208,plain,
k1_zfmisc_1(np__0) = k5_finsub_1(np__0),
inference(light_normalisation,[status(thm)],[c_767,c_1112]) ).
tcf(c_47333,plain,
! [X0: $i] : k1_funct_2(np__0,X0) = k1_zfmisc_1(np__0),
inference(light_normalisation,[status(thm)],[c_3462,c_1112]) ).
tcf(c_47750,plain,
! [X0: $i] : k4_xboole_0(X0,X0) = np__0,
inference(light_normalisation,[status(thm)],[c_320,c_1153]) ).
tcf(c_49624,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k1_setfam_1(k2_tarski(X0,X1))) = X0,
inference(demodulation,[status(thm)],[c_311,c_3402]) ).
tcf(c_49625,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),k2_xboole_0(X0,X2)),
inference(demodulation,[status(thm)],[c_304,c_3402]) ).
tcf(c_49626,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_695,c_3402]) ).
tcf(c_49627,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_3121,c_3402]) ).
tcf(c_49628,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v1_finset_1(X0) ),
inference(demodulation,[status(thm)],[c_7465,c_3402]) ).
tcf(c_49629,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7151,c_3402]) ).
tcf(c_49630,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v3_membered(X0) ),
inference(demodulation,[status(thm)],[c_8403,c_3402]) ).
tcf(c_49631,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v3_membered(X0) ),
inference(demodulation,[status(thm)],[c_8405,c_3402]) ).
tcf(c_49632,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v3_membered(X0) ),
inference(demodulation,[status(thm)],[c_8407,c_3402]) ).
tcf(c_49633,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v2_membered(X0) ),
inference(demodulation,[status(thm)],[c_8369,c_3402]) ).
tcf(c_49634,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v2_membered(X0) ),
inference(demodulation,[status(thm)],[c_8371,c_3402]) ).
tcf(c_49635,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v1_membered(X0) ),
inference(demodulation,[status(thm)],[c_7759,c_3402]) ).
tcf(c_49636,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v5_membered(X0) ),
inference(demodulation,[status(thm)],[c_8023,c_3402]) ).
tcf(c_49637,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v5_membered(X0) ),
inference(demodulation,[status(thm)],[c_8025,c_3402]) ).
tcf(c_49638,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v5_membered(X0) ),
inference(demodulation,[status(thm)],[c_8027,c_3402]) ).
tcf(c_49639,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v5_membered(X0) ),
inference(demodulation,[status(thm)],[c_8041,c_3402]) ).
tcf(c_49640,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v5_membered(X0) ),
inference(demodulation,[status(thm)],[c_8043,c_3402]) ).
tcf(c_49641,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v4_membered(X0) ),
inference(demodulation,[status(thm)],[c_8471,c_3402]) ).
tcf(c_49642,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v4_membered(X0) ),
inference(demodulation,[status(thm)],[c_8473,c_3402]) ).
tcf(c_49643,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v4_membered(X0) ),
inference(demodulation,[status(thm)],[c_8475,c_3402]) ).
tcf(c_49644,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v4_membered(X0) ),
inference(demodulation,[status(thm)],[c_8487,c_3402]) ).
tcf(c_50019,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_7784,c_3402]) ).
tcf(c_50112,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_7558,c_3402]) ).
tcf(c_50199,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k4_xboole_0(X0,X1),X0) = X0,
inference(ac_demodulation,[status(thm)],[c_6969,c_529,c_543,c_546,c_3131,c_3133]) ).
tcf(c_50200,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k4_xboole_0(X0,X1)) = X0,
inference(theory_normalisation,[status(thm)],[c_50199,c_543,c_546,c_3131,c_3133]) ).
tcf(c_50865,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_7007,c_3402]) ).
tcf(c_50872,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_7006,c_3402]) ).
tcf(c_50885,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_7575,c_3402]) ).
tcf(c_50892,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK130(X0,X1),k1_setfam_1(k2_tarski(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_7788,c_3402]) ).
tcf(c_50955,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_322,c_3402]) ).
tcf(c_50956,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(k2_tarski(X1,X0)) = X0 )
| ~ r1_tarski(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_7349,c_50955]) ).
tcf(c_50963,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_301,c_50955]) ).
tcf(c_51044,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_50955]) ).
tcf(c_51289,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_7814,c_50955]) ).
tcf(c_51362,plain,
! [X0: $i,X1: $i] : k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)) = k6_partfun1(k1_setfam_1(k2_tarski(X0,X1))),
inference(light_normalisation,[status(thm)],[c_2819,c_50955]) ).
tcf(c_51683,plain,
! [X0: $i] : k2_tarski(X0,X0) != np__0,
inference(demodulation,[status(thm)],[c_1142,c_1995]) ).
tcf(c_51911,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k5_xboole_0(X1,k2_xboole_0(X0,X1))) = k1_setfam_1(k2_tarski(X1,X0)),
inference(light_normalisation,[status(thm)],[c_6975,c_50955]) ).
tcf(c_52058,plain,
! [X0: $i,X1: $i] : k2_enumset1(X0,X0,X1,X1) = k2_tarski(X0,X1),
inference(demodulation,[status(thm)],[c_50,c_3443]) ).
tcf(c_52185,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0))) = k2_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_3129,c_50955]) ).
tcf(c_52250,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X0,X1,X2,X2),
inference(ac_demodulation,[status(thm)],[c_2350,c_3443,c_543,c_546,c_3131,c_3133]) ).
tcf(c_52667,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(k1_zfmisc_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),
inference(light_normalisation,[status(thm)],[c_506,c_1112]) ).
tcf(c_52740,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0))) = k5_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_51,c_50955]) ).
tcf(c_53263,plain,
! [X0: $i] :
( ( k4_xboole_0(X0,k2_tarski(X0,X0)) = X0 )
| ~ v3_ordinal1(X0) ),
inference(demodulation,[status(thm)],[c_7967,c_528]) ).
tcf(c_53502,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_1188,c_50955]) ).
tcf(c_53503,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_53502,c_50955]) ).
tcf(c_53540,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK189(X0),sK189(X0)),k2_tarski(sK189(X0),sK191(X0))),X0) ),
inference(demodulation,[status(thm)],[c_7518,c_2041]) ).
tcf(c_53547,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK189(X0),sK189(X0)),k2_tarski(sK189(X0),sK190(X0))),X0) ),
inference(demodulation,[status(thm)],[c_7516,c_2041]) ).
tcf(c_53582,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_7749,c_50955]) ).
tcf(c_53589,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_709,c_50955]) ).
tcf(c_53664,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_326,c_50955]) ).
tcf(c_53674,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_316,c_50955]) ).
tcf(c_53684,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_7351,c_50955]) ).
tcf(c_53691,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X1,k4_xboole_0(X1,X2))),k2_xboole_0(X0,X2)),
inference(light_normalisation,[status(thm)],[c_302,c_50955]) ).
tcf(c_53692,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1))),k2_xboole_0(X0,X2)),
inference(demodulation,[status(thm)],[c_53691,c_50955]) ).
tcf(c_53693,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_7149,c_2041,c_50955]) ).
tcf(c_53869,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_7275,c_50955]) ).
tcf(c_53876,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_7273,c_2041,c_50955]) ).
tcf(c_54209,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| v1_classes2(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v1_classes2(X1)
| ~ v1_classes2(X0) ),
inference(light_normalisation,[status(thm)],[c_3079,c_50955]) ).
tcf(c_54478,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_7195,c_50955]) ).
tcf(c_54485,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_7211,c_2041,c_50955]) ).
tcf(c_54810,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_300,c_50955]) ).
tcf(c_54811,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_54810,c_50955]) ).
tcf(c_54812,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(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_297,c_50955]) ).
tcf(c_54813,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(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_295,c_50955]) ).
tcf(c_54814,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_7543,c_50955]) ).
tcf(c_54821,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_7297,c_50955]) ).
tcf(c_54828,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_288,c_50955]) ).
tcf(c_54829,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_54828,c_50955]) ).
tcf(c_54830,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_263,c_50955]) ).
tcf(c_54831,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_54830,c_50955]) ).
tcf(c_55002,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_7287,c_50955]) ).
tcf(c_55009,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_7285,c_50955]) ).
tcf(c_55016,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_7269,c_50955]) ).
tcf(c_55167,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_classes2(X1)
| ~ v1_classes2(X0)
| ~ v1_xboole_0(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_3078,c_50955]) ).
tcf(c_55261,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_7229,c_50955]) ).
tcf(c_55286,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_7207,c_50955]) ).
tcf(c_55313,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_7189,c_50955]) ).
tcf(c_55320,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_7183,c_50955]) ).
tcf(c_55711,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_setfam_1(k2_tarski(X2,X0)),X1)
| ~ v1_classes2(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_6737,c_50955]) ).
tcf(c_55740,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_3908,c_50955]) ).
tcf(c_55800,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_zfmisc_1(np__0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,np__0,X1)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(demodulation,[status(thm)],[c_3475,c_47333]) ).
tcf(c_55995,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_7311,c_50955]) ).
tcf(c_56002,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_7566,c_50955]) ).
tcf(c_56116,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_1449,c_50955]) ).
tcf(c_56132,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_1442,c_50955]) ).
tcf(c_56258,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(k2_xboole_0(X1,X2),X0)) = k1_setfam_1(k2_tarski(X2,X0)) )
| ~ r1_xboole_0(X0,X1) ),
inference(demodulation,[status(thm)],[c_7745,c_50955]) ).
tcf(c_56323,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(X0,k2_xboole_0(X1,k4_xboole_0(X0,k2_xboole_0(X1,k4_xboole_0(X0,X2))))) = k4_xboole_0(X0,k2_xboole_0(X1,X2)),
inference(demodulation,[status(thm)],[c_296,c_527]) ).
tcf(c_56373,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_14890,c_50955]) ).
tcf(c_56585,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_2582,c_629]) ).
tcf(c_56948,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,sK196(X1,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(demodulation,[status(thm)],[c_1036,c_2041]) ).
tcf(c_57006,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_306,c_50955]) ).
tcf(c_57138,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_14816,c_50955]) ).
tcf(c_57200,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_3844,c_50955]) ).
tcf(c_57340,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_2826,c_50955]) ).
tcf(c_57350,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_2584,c_629]) ).
tcf(c_57363,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_2583,c_629]) ).
tcf(c_57562,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK219(X0),sK219(X0)),k2_tarski(sK219(X0),sK220(X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_7525,c_2041]) ).
tcf(c_57569,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK192(X0),sK192(X0)),k2_tarski(sK192(X0),sK193(X0))),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_1032,c_2041]) ).
tcf(c_57753,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK80(X1,X0,X2),X2)
| r2_hidden(sK80(X1,X0,X2),X0)
| ( k1_setfam_1(k2_tarski(X0,X1)) = X2 ) ),
inference(light_normalisation,[status(thm)],[c_325,c_50955]) ).
tcf(c_57763,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK80(X1,X0,X2),X2)
| r2_hidden(sK80(X1,X0,X2),X1)
| ( k1_setfam_1(k2_tarski(X0,X1)) = X2 ) ),
inference(light_normalisation,[status(thm)],[c_324,c_50955]) ).
tcf(c_57773,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)))) = k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X2,X1))),
inference(ac_demodulation,[status(thm)],[c_310,c_54813,c_543,c_546,c_3131,c_3133]) ).
tcf(c_57774,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(X0,k4_xboole_0(k1_setfam_1(k2_tarski(X0,k4_xboole_0(X0,X1))),X2)) = k1_setfam_1(k2_tarski(k2_xboole_0(X1,X2),X0)),
inference(demodulation,[status(thm)],[c_57773,c_50955,c_54811]) ).
tcf(c_57775,plain,
! [X0: $i,X1: $i,X2: $i] : k1_setfam_1(k2_tarski(k2_xboole_0(X0,X1),k2_xboole_0(X0,X2))) = k2_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2))),
inference(demodulation,[status(thm)],[c_309,c_50955]) ).
tcf(c_57776,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_299,c_50955]) ).
tcf(c_57777,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_57776,c_50955,c_54811]) ).
tcf(c_57816,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| ~ r2_hidden(k5_xboole_0(sK498(X0),sK499(X0)),X0)
| ~ r2_hidden(k1_setfam_1(k2_tarski(sK498(X0),sK499(X0))),X0) ),
inference(demodulation,[status(thm)],[c_16617,c_2041,c_50955]) ).
tcf(c_57872,plain,
k2_tarski(np__1,np__1) = k2_finseq_1(np__1),
inference(demodulation,[status(thm)],[c_6934,c_6890]) ).
tcf(c_57873,plain,
! [X0: $i] : k1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_finseq_1(np__1)),k2_tarski(k2_tarski(np__1,X0),k2_finseq_1(np__1))),np__1) = X0,
inference(demodulation,[status(thm)],[c_6950,c_57872]) ).
tcf(c_57874,plain,
! [X0: $i] : v1_funct_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_finseq_1(np__1)),k2_tarski(k2_tarski(np__1,X0),k2_finseq_1(np__1)))),
inference(demodulation,[status(thm)],[c_3616,c_57872]) ).
tcf(c_57875,plain,
! [X0: $i] : v1_funct_1(k2_tarski(k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0)),k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0)))),
inference(demodulation,[status(thm)],[c_57874,c_2041]) ).
tcf(c_57876,plain,
! [X0: $i] : k1_funct_1(k2_tarski(k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0)),k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0))),np__1) = X0,
inference(demodulation,[status(thm)],[c_57873,c_2041]) ).
tcf(c_58051,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_2870,c_50955]) ).
tcf(c_58052,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_58051,c_50955]) ).
tcf(c_58132,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_2011,c_50955]) ).
tcf(c_58142,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,sK352(X1,X2,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_1983,c_2041]) ).
tcf(c_58160,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,sK349(X0,X2,X1))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_1977,c_2041]) ).
tcf(c_58186,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_1847,c_50955]) ).
tcf(c_58268,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k2_tarski(sK202(X0),sK202(X0)),k2_tarski(sK202(X0),sK203(X0))) = X0 )
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_1047,c_2041]) ).
tcf(c_58398,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_7545,c_50955]) ).
tcf(c_58405,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_277,c_50955]) ).
tcf(c_58406,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_58405,c_50955]) ).
tcf(c_58416,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_275,c_50955]) ).
tcf(c_58417,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_58416,c_50955]) ).
tcf(c_58503,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_3929,c_50955]) ).
tcf(c_58504,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_58503,c_50955]) ).
tcf(c_58624,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(k2_xboole_0(X1,X0)) ) ),
inference(demodulation,[status(thm)],[c_3404,c_50955]) ).
tcf(c_58666,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_3116,c_50955]) ).
tcf(c_58667,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_58666,c_50955]) ).
tcf(c_58758,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_2014,c_50955]) ).
tcf(c_58776,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_7219,c_50955]) ).
tcf(c_58811,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_7171,c_50955]) ).
tcf(c_58828,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_7165,c_50955]) ).
tcf(c_59087,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,k1_funct_1(X1,X0))),X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(demodulation,[status(thm)],[c_899,c_2041]) ).
tcf(c_59110,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK79(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_315,c_50955]) ).
tcf(c_59123,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK79(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_314,c_50955]) ).
tcf(c_59136,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2))) = k1_setfam_1(k2_tarski(X1,k2_xboole_0(X0,X2))) )
| ~ r1_tarski(X0,X1) ),
inference(demodulation,[status(thm)],[c_7347,c_50955]) ).
tcf(c_59143,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_292,c_50955]) ).
tcf(c_59144,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(X0,k2_xboole_0(X1,k4_xboole_0(X0,k2_xboole_0(X1,X2)))) = k4_xboole_0(k1_setfam_1(k2_tarski(X2,X0)),k1_setfam_1(k2_tarski(X2,X1))),
inference(demodulation,[status(thm)],[c_59143,c_527,c_50955]) ).
tcf(c_59227,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_7263,c_50955]) ).
tcf(c_59508,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_2013,c_50955]) ).
tcf(c_59518,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_7201,c_50955]) ).
tcf(c_59753,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK239(X0,X1),k2_xboole_0(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_9975,c_50955]) ).
tcf(c_59754,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK239(X1,X0),k2_xboole_0(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_59753,c_50955]) ).
tcf(c_59761,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK238(X0,X1),k2_xboole_0(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_9973,c_50955]) ).
tcf(c_59762,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK238(X1,X0),k2_xboole_0(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_59761,c_50955]) ).
tcf(c_59773,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK176(X1,X0)),k2_tarski(sK176(X1,X0),sK176(X1,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(demodulation,[status(thm)],[c_1005,c_2041]) ).
tcf(c_59873,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(sK79(X0,X1,X2),X0) ),
inference(demodulation,[status(thm)],[c_313,c_50955]) ).
tcf(c_59972,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_4026,c_50955]) ).
tcf(c_60276,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_6884,c_2027]) ).
tcf(c_60363,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(sK238(X0,X1),sK239(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_7997,c_50955]) ).
tcf(c_60364,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(sK238(X0,X1),sK239(X0,X1)) ),
inference(demodulation,[status(thm)],[c_60363,c_50955]) ).
tcf(c_60371,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK208(X0),X0)
| r2_hidden(k2_tarski(k2_tarski(sK209(X0,X1),sK209(X0,X1)),k2_tarski(sK209(X0,X1),sK210(X0,X1))),X0) ),
inference(demodulation,[status(thm)],[c_1063,c_2041]) ).
tcf(c_60439,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_319,c_50955]) ).
tcf(c_60440,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_60439,c_50955,c_54811]) ).
tcf(c_60441,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_282,c_50955]) ).
tcf(c_60442,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_281,c_50955]) ).
tcf(c_60520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X3)
| r2_hidden(k2_tarski(k2_tarski(sK213(X0,X3),sK213(X0,X3)),k2_tarski(sK213(X0,X3),sK214(X0,X3))),X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_14851,c_2041]) ).
tcf(c_61006,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_1846,c_50955]) ).
tcf(c_61088,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))) )
| ( sK238(X0,X1) != sK239(X0,X1) ) ),
inference(light_normalisation,[status(thm)],[c_7995,c_50955]) ).
tcf(c_61089,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))) )
| ( sK238(X0,X1) != sK239(X0,X1) ) ),
inference(demodulation,[status(thm)],[c_61088,c_50955]) ).
tcf(c_61096,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK208(X0),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK209(X0,X1),sK209(X0,X1)),k2_tarski(sK209(X0,X1),sK210(X0,X1))),X1) ),
inference(demodulation,[status(thm)],[c_1062,c_2041]) ).
tcf(c_61469,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k4_xboole_0(X0,k2_xboole_0(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_3122,c_50955]) ).
tcf(c_61470,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k4_xboole_0(X0,k2_xboole_0(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_61469,c_50955]) ).
tcf(c_61573,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_1955,c_50955]) ).
tcf(c_61595,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_relat_1(X2,X1),X0) = k1_funct_1(X2,X0) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_setfam_1(k2_tarski(X1,k1_relat_1(X2)))) ),
inference(demodulation,[status(thm)],[c_1897,c_50955]) ).
tcf(c_61608,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_1845,c_50955]) ).
tcf(c_61768,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(k2_tarski(k2_tarski(sK197(X0,X1),sK197(X0,X1)),k2_tarski(sK197(X0,X1),sK198(X0,X1))),X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_1038,c_2041]) ).
tcf(c_61781,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_1017,c_2026]) ).
tcf(c_61889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK78(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_7537,c_50955]) ).
tcf(c_61896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK77(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_7535,c_50955]) ).
tcf(c_62161,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k5_relat_1(k6_partfun1(X1),X2),X0) = k1_funct_1(X2,X0) )
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_setfam_1(k2_tarski(X1,k1_relat_1(X2)))) ),
inference(demodulation,[status(thm)],[c_2825,c_50955]) ).
tcf(c_62242,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK343(X1,X2,X0)),k2_tarski(sK343(X1,X2,X0),sK343(X1,X2,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_1884,c_2041]) ).
tcf(c_62252,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK340(X0,X2,X1)),k2_tarski(sK340(X0,X2,X1),sK340(X0,X2,X1))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_1878,c_2041]) ).
tcf(c_62378,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(sK213(X0,X1),sK213(X0,X1)),k2_tarski(sK213(X0,X1),sK214(X0,X1))),X1) ),
inference(demodulation,[status(thm)],[c_1068,c_2041]) ).
tcf(c_62388,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK197(X0,X1),sK197(X0,X1)),k2_tarski(sK197(X0,X1),sK198(X0,X1))),X1) ),
inference(demodulation,[status(thm)],[c_1037,c_2041]) ).
tcf(c_62487,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_25126,c_50955]) ).
tcf(c_62548,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_14815,c_50955]) ).
tcf(c_63001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK224(X1,X2,X0),sK224(X1,X2,X0)),k2_tarski(sK224(X1,X2,X0),sK225(X1,X2,X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_7531,c_2041]) ).
tcf(c_63150,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_274,c_50955]) ).
tcf(c_63163,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK76(X0,X1))
| r2_hidden(sK75(X0,X1),k1_setfam_1(k2_tarski(k1_relat_1(X1),k1_relat_1(X0))))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_273,c_50955]) ).
tcf(c_63182,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK76(X0,X1))
| r2_hidden(sK75(X0,X1),k1_setfam_1(k2_tarski(k1_relat_1(X1),k1_relat_1(X0))))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_272,c_50955]) ).
tcf(c_63527,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_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_1823,c_50955]) ).
tcf(c_63540,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k3_lopclset(X1,X0,X2) = k1_setfam_1(k2_tarski(X2,X0)) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_lopclset(X1))
| ~ m1_subset_1(X0,k1_lopclset(X1)) ),
inference(demodulation,[status(thm)],[c_1660,c_50955]) ).
tcf(c_63739,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(X1,X0)) = X2 )
| ~ r2_hidden(sK80(X0,X1,X2),X2)
| ~ r2_hidden(sK80(X0,X1,X2),X1)
| ~ r2_hidden(sK80(X0,X1,X2),X0) ),
inference(light_normalisation,[status(thm)],[c_323,c_50955]) ).
tcf(c_63982,plain,
k2_tarski(k2_tarski(k2_tarski(np__1,k2_tarski(k1_zfmisc_1(np__0),k1_zfmisc_1(np__0))),k2_finseq_1(np__1)),k2_tarski(k2_tarski(np__1,k2_tarski(k1_zfmisc_1(np__0),k1_zfmisc_1(np__0))),k2_finseq_1(np__1))) = k11_qc_lang1,
inference(light_normalisation,[status(thm)],[c_3614,c_1112,c_57872]) ).
tcf(c_63983,plain,
k2_tarski(k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,k2_tarski(k1_zfmisc_1(np__0),k1_zfmisc_1(np__0)))),k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,k2_tarski(k1_zfmisc_1(np__0),k1_zfmisc_1(np__0))))) = k11_qc_lang1,
inference(demodulation,[status(thm)],[c_63982,c_2041]) ).
tcf(c_64024,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK458(X1,X0),X1)
| r2_hidden(k2_tarski(k2_tarski(sK458(X1,X0),sK458(X1,X0)),k2_tarski(sK458(X1,X0),sK459(X1,X0))),X0)
| ( k6_partfun1(X1) = X0 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_2856,c_2041]) ).
tcf(c_64157,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK194(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK194(X0,X1),sK194(X0,X1)),k2_tarski(sK194(X0,X1),sK195(X0,X1))),X0)
| ( k1_relat_1(X0) = X1 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_1034,c_2041]) ).
tcf(c_64178,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK174(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK174(X0,X1),sK175(X0,X1)),k2_tarski(sK175(X0,X1),sK175(X0,X1))),X0)
| ( k2_relat_1(X0) = X1 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_1003,c_2041]) ).
tcf(c_64349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,sK173(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_20059,c_2041]) ).
tcf(c_64362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK217(X1,X2,X3),sK217(X1,X2,X3)),k2_tarski(sK217(X1,X2,X3),sK218(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_14854,c_2041]) ).
tcf(c_64372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK183(X1,X2,X3),sK183(X1,X2,X3)),k2_tarski(sK183(X1,X2,X3),sK184(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_14847,c_2041]) ).
tcf(c_64382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK177(X1,X2,X3),sK177(X1,X2,X3)),k2_tarski(sK177(X1,X2,X3),sK178(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_14844,c_2041]) ).
tcf(c_64524,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(k7_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X1),k2_finseq_1(np__1)),k2_tarski(k2_tarski(np__1,X1),k2_finseq_1(np__1))),X0),np__1) = X1 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(light_normalisation,[status(thm)],[c_3621,c_57872]) ).
tcf(c_64525,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(k7_finseq_1(k2_tarski(k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X1)),k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X1))),X0),np__1) = X1 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_64524,c_2041]) ).
tcf(c_65172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| r2_hidden(k2_tarski(k2_tarski(sK209(X2,X3),sK209(X2,X3)),k2_tarski(sK209(X2,X3),sK210(X2,X3))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK208(X2) ) ),
inference(demodulation,[status(thm)],[c_1065,c_2041]) ).
tcf(c_65238,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK75(X0,X1),k1_setfam_1(k2_tarski(k1_relat_1(X1),k1_relat_1(X0))))
| ( k2_xboole_0(X0,X1) = sK76(X0,X1) )
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_271,c_50955]) ).
tcf(c_65301,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_85,c_50955]) ).
tcf(c_65320,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(k2_pre_topc(X1),sK45(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_72,c_50955]) ).
tcf(c_65478,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK458(X1,X0),sK458(X1,X0)),k2_tarski(sK458(X1,X0),sK459(X1,X0))),X0)
| ( k6_partfun1(X1) = X0 )
| ( sK458(X1,X0) = sK459(X1,X0) )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_2857,c_2041]) ).
tcf(c_65517,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k2_tarski(sK404(X0,X1),sK404(X0,X1)),k2_tarski(sK404(X0,X1),k1_funct_1(X1,sK404(X0,X1)))) = X0 )
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_2527,c_2041]) ).
tcf(c_65573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK209(X2,X3),sK209(X2,X3)),k2_tarski(sK209(X2,X3),sK210(X2,X3))),X3)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK208(X2) ) ),
inference(demodulation,[status(thm)],[c_1064,c_2041]) ).
tcf(c_65877,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(k7_finseq_1(X0,k2_tarski(k2_tarski(k2_tarski(np__1,X1),k2_finseq_1(np__1)),k2_tarski(k2_tarski(np__1,X1),k2_finseq_1(np__1)))),k1_nat_1(k3_finseq_1(X0),np__1)) = X1 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(light_normalisation,[status(thm)],[c_2465,c_57872]) ).
tcf(c_65878,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(k7_finseq_1(X0,k2_tarski(k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X1)),k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X1)))),k1_nat_1(k3_finseq_1(X0),np__1)) = X1 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_65877,c_2041]) ).
tcf(c_66189,plain,
! [X0: $i] :
( ( k2_tarski(k2_tarski(k2_tarski(np__1,k1_funct_1(X0,np__1)),k2_finseq_1(np__1)),k2_tarski(k2_tarski(np__1,k1_funct_1(X0,np__1)),k2_finseq_1(np__1))) = X0 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k1_relat_1(X0) != k2_finseq_1(np__1) ) ),
inference(light_normalisation,[status(thm)],[c_3628,c_57872]) ).
tcf(c_66190,plain,
! [X0: $i] :
( ( k2_tarski(k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,k1_funct_1(X0,np__1))),k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,k1_funct_1(X0,np__1)))) = X0 )
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k1_relat_1(X0) != k2_finseq_1(np__1) ) ),
inference(demodulation,[status(thm)],[c_66189,c_2041]) ).
tcf(c_66333,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k1_setfam_1(k2_tarski(k9_relat_1(X0,sK332(X0)),k9_relat_1(X0,sK333(X0)))) != k9_relat_1(X0,k1_setfam_1(k2_tarski(sK332(X0),sK333(X0)))) ) ),
inference(demodulation,[status(thm)],[c_1822,c_2041,c_50955]) ).
tcf(c_66590,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X1,X0) = k1_funct_1(X2,X0) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(k2_xboole_0(X2,X1))
| ~ r2_hidden(X0,k1_setfam_1(k2_tarski(k1_relat_1(X1),k1_relat_1(X2)))) ),
inference(demodulation,[status(thm)],[c_19504,c_50955]) ).
tcf(c_66660,plain,
! [X0: $i] :
( ( k3_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_finseq_1(np__1)),k2_tarski(k2_tarski(np__1,X0),k2_finseq_1(np__1)))) = np__1 )
| ~ v1_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_finseq_1(np__1)),k2_tarski(k2_tarski(np__1,X0),k2_finseq_1(np__1)))) ),
inference(light_normalisation,[status(thm)],[c_8643,c_57872]) ).
tcf(c_66661,plain,
! [X0: $i] :
( ( k3_finseq_1(k2_tarski(k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0)),k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0)))) = np__1 )
| ~ v1_finseq_1(k2_tarski(k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0)),k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0)))) ),
inference(demodulation,[status(thm)],[c_66660,c_2041]) ).
tcf(c_66792,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k7_finseq_1(sK560(X0),k2_tarski(k2_tarski(k2_tarski(np__1,sK561(X0)),k2_finseq_1(np__1)),k2_tarski(k2_tarski(np__1,sK561(X0)),k2_finseq_1(np__1)))) = X0 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(light_normalisation,[status(thm)],[c_3617,c_57872]) ).
tcf(c_66793,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k7_finseq_1(sK560(X0),k2_tarski(k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,sK561(X0))),k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,sK561(X0))))) = X0 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_66792,c_2041]) ).
tcf(c_66901,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK350(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK350(X0,X1,X2),sK350(X0,X1,X2)),k2_tarski(sK350(X0,X1,X2),sK351(X0,X1,X2))),X0)
| ( k10_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_1980,c_2041]) ).
tcf(c_66936,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK344(X2,X1),k1_relat_1(X2))
| ( k7_relat_1(X1,X0) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ( k1_setfam_1(k2_tarski(X0,k1_relat_1(X1))) != k1_relat_1(X2) ) ),
inference(demodulation,[status(thm)],[c_1900,c_50955]) ).
tcf(c_66958,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK341(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK341(X0,X1,X2),sK342(X0,X1,X2)),k2_tarski(sK342(X0,X1,X2),sK342(X0,X1,X2))),X0)
| ( k9_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_1881,c_2041]) ).
tcf(c_67019,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_69,c_50955]) ).
tcf(c_67094,plain,
! [X0: $i] :
( ( k4_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_finseq_1(np__1)),k2_tarski(k2_tarski(np__1,X0),k2_finseq_1(np__1)))) = k2_finseq_1(np__1) )
| ~ v1_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_finseq_1(np__1)),k2_tarski(k2_tarski(np__1,X0),k2_finseq_1(np__1)))) ),
inference(light_normalisation,[status(thm)],[c_8639,c_57872]) ).
tcf(c_67095,plain,
! [X0: $i] :
( ( k4_finseq_1(k2_tarski(k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0)),k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0)))) = k2_finseq_1(np__1) )
| ~ v1_finseq_1(k2_tarski(k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0)),k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0)))) ),
inference(demodulation,[status(thm)],[c_67094,c_2041]) ).
tcf(c_67244,plain,
! [X0: $i] :
( ( k2_tarski(k2_tarski(k2_tarski(np__1,k1_funct_1(X0,np__1)),k2_finseq_1(np__1)),k2_tarski(k2_tarski(np__1,k1_funct_1(X0,np__1)),k2_finseq_1(np__1))) = X0 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k3_finseq_1(X0) != np__1 ) ),
inference(light_normalisation,[status(thm)],[c_3622,c_57872]) ).
tcf(c_67245,plain,
! [X0: $i] :
( ( k2_tarski(k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,k1_funct_1(X0,np__1))),k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,k1_funct_1(X0,np__1)))) = X0 )
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k3_finseq_1(X0) != np__1 ) ),
inference(demodulation,[status(thm)],[c_67244,c_2041]) ).
tcf(c_67471,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK221(X0,X1,X2),X2)
| ( k2_zfmisc_1(X0,X1) = X2 )
| ( k2_tarski(k2_tarski(sK222(X0,X1,X2),sK222(X0,X1,X2)),k2_tarski(sK222(X0,X1,X2),sK223(X0,X1,X2))) = sK221(X0,X1,X2) ) ),
inference(demodulation,[status(thm)],[c_1089,c_2041]) ).
tcf(c_67679,plain,
! [X0: $i] :
( ( k7_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__1,np__0),k2_finseq_1(np__1))),k2_finseq_1(np__1)),k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__1,np__0),k2_finseq_1(np__1))),k2_finseq_1(np__1))),k10_qc_lang1(X0)) = k12_qc_lang1(X0) )
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(light_normalisation,[status(thm)],[c_8635,c_57872]) ).
tcf(c_67680,plain,
! [X0: $i] :
( ( k7_finseq_1(k2_tarski(k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,k2_tarski(k2_finseq_1(np__1),k2_tarski(np__0,np__1)))),k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,k2_tarski(k2_finseq_1(np__1),k2_tarski(np__0,np__1))))),k10_qc_lang1(X0)) = k12_qc_lang1(X0) )
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(demodulation,[status(thm)],[c_67679,c_2041]) ).
tcf(c_68019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,sK173(X2,X3,X0,X1)),k2_tarski(sK173(X2,X3,X0,X1),sK173(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_20060,c_2041]) ).
tcf(c_68088,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK594(X2,X0,X1),X2)
| r2_hidden(k2_tarski(k2_tarski(sK593(X2,X0,X1),sK593(X2,X0,X1)),k2_tarski(sK593(X2,X0,X1),sK594(X2,X0,X1))),X1)
| ( k8_relat_1(X2,X0) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_3899,c_2041]) ).
tcf(c_68480,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK345(X0,X2,X1),X2)
| r2_hidden(k2_tarski(k2_tarski(sK345(X0,X2,X1),sK345(X0,X2,X1)),k2_tarski(sK345(X0,X2,X1),sK346(X0,X2,X1))),X1)
| ( k7_relat_1(X0,X2) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_1935,c_2041]) ).
tcf(c_69044,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_finseq_1(np__1)),k2_tarski(k2_tarski(np__1,X0),k2_finseq_1(np__1))) = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( k3_finseq_1(X1) != np__1 )
| ( k2_tarski(X0,X0) != k2_relat_1(X1) ) ),
inference(light_normalisation,[status(thm)],[c_3625,c_57872]) ).
tcf(c_69045,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0)),k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0))) = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( k3_finseq_1(X1) != np__1 )
| ( k2_tarski(X0,X0) != k2_relat_1(X1) ) ),
inference(demodulation,[status(thm)],[c_69044,c_2041]) ).
tcf(c_69158,plain,
! [X0: $i,X1: $i] :
( ( k6_partfun1(X0) = X1 )
| ~ v1_relat_1(X1)
| ~ r2_hidden(sK458(X0,X1),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK458(X0,X1),sK458(X0,X1)),k2_tarski(sK458(X0,X1),sK459(X0,X1))),X1)
| ( sK458(X0,X1) != sK459(X0,X1) ) ),
inference(demodulation,[status(thm)],[c_2855,c_2041]) ).
tcf(c_69554,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k2_tarski(k2_tarski(np__1,X0),k2_finseq_1(np__1)),k2_tarski(k2_tarski(np__1,X0),k2_finseq_1(np__1))) = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( k4_finseq_1(X1) != k2_finseq_1(np__1) )
| ( k2_tarski(X0,X0) != k2_relat_1(X1) ) ),
inference(light_normalisation,[status(thm)],[c_2516,c_57872]) ).
tcf(c_69555,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0)),k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0))) = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( k4_finseq_1(X1) != k2_finseq_1(np__1) )
| ( k2_tarski(X0,X0) != k2_relat_1(X1) ) ),
inference(demodulation,[status(thm)],[c_69554,c_2041]) ).
tcf(c_69884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(X1,X2) = X0 )
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ( k1_setfam_1(k2_tarski(X2,k1_relat_1(X1))) != k1_relat_1(X0) )
| ( k1_funct_1(X0,sK344(X0,X1)) != k1_funct_1(X1,sK344(X0,X1)) ) ),
inference(demodulation,[status(thm)],[c_1899,c_50955]) ).
tcf(c_70162,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK199(X0,X1),sK199(X0,X1)),k2_tarski(sK199(X0,X1),sK200(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK199(X0,X1),sK199(X0,X1)),k2_tarski(sK199(X0,X1),sK200(X0,X1))),X0)
| ( X0 = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_1041,c_2041]) ).
tcf(c_70178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_tarski(k2_tarski(sK77(X0,X3,X4,X1,X2),sK77(X0,X3,X4,X1,X2)),k2_tarski(sK77(X0,X3,X4,X1,X2),sK78(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_7533,c_2041,c_50955]) ).
tcf(c_70185,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK596(X0,X1),sK595(X0,X1)),k2_tarski(sK595(X0,X1),sK595(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK596(X0,X1),sK596(X0,X1)),k2_tarski(sK596(X0,X1),sK595(X0,X1))),X0)
| ( k4_relat_1(X0) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_3933,c_2041]) ).
tcf(c_70661,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X1,X2))),k4_xboole_0(k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X1,X2))),k2_xboole_0(X2,X0))) = k2_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),k2_xboole_0(k4_xboole_0(X1,k4_xboole_0(X1,X2)),k4_xboole_0(X2,k4_xboole_0(X2,X0)))),
inference(light_normalisation,[status(thm)],[c_6970,c_50955]) ).
tcf(c_70662,plain,
! [X0: $i,X1: $i,X2: $i] : k1_setfam_1(k2_tarski(k2_xboole_0(X0,X1),k1_setfam_1(k2_tarski(k2_xboole_0(X1,X2),k2_xboole_0(X2,k2_xboole_0(X0,k4_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X1,X2)))))))) = k2_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),k2_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),k1_setfam_1(k2_tarski(X0,X2)))),
inference(demodulation,[status(thm)],[c_70661,c_527,c_543,c_546,c_2041,c_50955,c_54813]) ).
tcf(c_70663,plain,
! [X0: $i,X1: $i] :
( ( k7_finseq_1(k7_finseq_1(k2_tarski(k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__2,np__0),k2_tarski(np__2,np__2))),k2_finseq_1(np__1)),k2_tarski(k2_tarski(np__1,k2_tarski(k2_tarski(np__2,np__0),k2_tarski(np__2,np__2))),k2_finseq_1(np__1))),k10_qc_lang1(X0)),k10_qc_lang1(X1)) = k13_qc_lang1(X0,X1) )
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(light_normalisation,[status(thm)],[c_3612,c_57872]) ).
tcf(c_70664,plain,
! [X0: $i,X1: $i] :
( ( k7_finseq_1(k7_finseq_1(k2_tarski(k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,k2_tarski(k2_tarski(np__0,np__2),k2_tarski(np__2,np__2)))),k2_tarski(k2_finseq_1(np__1),k2_tarski(np__1,k2_tarski(k2_tarski(np__0,np__2),k2_tarski(np__2,np__2))))),k10_qc_lang1(X0)),k10_qc_lang1(X1)) = k13_qc_lang1(X0,X1) )
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(demodulation,[status(thm)],[c_70663,c_2041]) ).
tcf(c_70674,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK205(X1),X1)
| r2_hidden(sK204(X0),X0)
| r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK206(X0,X1)),k2_tarski(sK206(X0,X1),sK207(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK206(X0,X1)),k2_tarski(sK206(X0,X1),sK207(X0,X1))),X0)
| ( X0 = X1 ) ),
inference(demodulation,[status(thm)],[c_1055,c_2041]) ).
tcf(c_70690,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK199(X0,X1),sK199(X0,X1)),k2_tarski(sK199(X0,X1),sK200(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK199(X0,X1),sK199(X0,X1)),k2_tarski(sK199(X0,X1),sK200(X0,X1))),X0) ),
inference(demodulation,[status(thm)],[c_1040,c_2041]) ).
tcf(c_70780,plain,
! [X0: $i,X1: $i] :
( ( k4_relat_1(X0) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK596(X0,X1),sK595(X0,X1)),k2_tarski(sK595(X0,X1),sK595(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK596(X0,X1),sK596(X0,X1)),k2_tarski(sK596(X0,X1),sK595(X0,X1))),X0) ),
inference(demodulation,[status(thm)],[c_3932,c_2041]) ).
tcf(c_71070,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK205(X1),X1)
| r2_hidden(sK204(X0),X0)
| ( X0 = X1 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK206(X0,X1)),k2_tarski(sK206(X0,X1),sK207(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X0,X1),sK206(X0,X1)),k2_tarski(sK206(X0,X1),sK207(X0,X1))),X0) ),
inference(demodulation,[status(thm)],[c_1054,c_2041]) ).
tcf(c_71166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK211(X3,X0),sK211(X3,X0)),k2_tarski(sK211(X3,X0),sK212(X3,X0))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK211(X3,X0),sK211(X3,X0)),k2_tarski(sK211(X3,X0),sK212(X3,X0))),X0)
| ( X0 = X3 )
| ~ m1_relset_1(X3,X4,X5)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_14850,c_2041]) ).
tcf(c_71802,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK438(X0,X1,X2),sK438(X0,X1,X2)),k2_tarski(sK438(X0,X1,X2),sK439(X0,X1,X2))),k1_relat_1(X1))
| ( k3_funct_4(X0,X1) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ sP30(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_2756,c_2041]) ).
tcf(c_71830,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK437(X0,X1,X2))),k1_relat_1(X0))
| ( k3_funct_4(X0,X1) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ sP30(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_2755,c_2041]) ).
tcf(c_72248,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(sK211(X0,X1),sK211(X0,X1)),k2_tarski(sK211(X0,X1),sK212(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK211(X0,X1),sK211(X0,X1)),k2_tarski(sK211(X0,X1),sK212(X0,X1))),X0) ),
inference(demodulation,[status(thm)],[c_1066,c_2041]) ).
tcf(c_72370,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK593(X2,X0,X1),sK593(X2,X0,X1)),k2_tarski(sK593(X2,X0,X1),sK594(X2,X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK593(X2,X0,X1),sK593(X2,X0,X1)),k2_tarski(sK593(X2,X0,X1),sK594(X2,X0,X1))),X0)
| ( k8_relat_1(X2,X0) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_3900,c_2041]) ).
tcf(c_72534,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK345(X0,X2,X1),sK345(X0,X2,X1)),k2_tarski(sK345(X0,X2,X1),sK346(X0,X2,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK345(X0,X2,X1),sK345(X0,X2,X1)),k2_tarski(sK345(X0,X2,X1),sK346(X0,X2,X1))),X0)
| ( k7_relat_1(X0,X2) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_1936,c_2041]) ).
tcf(c_72568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK205(X3),X3)
| r2_hidden(k2_tarski(k2_tarski(sK206(X2,X3),sK206(X2,X3)),k2_tarski(sK206(X2,X3),sK207(X2,X3))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK206(X2,X3),sK206(X2,X3)),k2_tarski(sK206(X2,X3),sK207(X2,X3))),X2)
| ( X2 = X3 )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK204(X2) ) ),
inference(demodulation,[status(thm)],[c_1059,c_2041]) ).
tcf(c_72584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK204(X3),X3)
| r2_hidden(k2_tarski(k2_tarski(sK206(X3,X2),sK206(X3,X2)),k2_tarski(sK206(X3,X2),sK207(X3,X2))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK206(X3,X2),sK206(X3,X2)),k2_tarski(sK206(X3,X2),sK207(X3,X2))),X2)
| ( X2 = X3 )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK205(X2) ) ),
inference(demodulation,[status(thm)],[c_1057,c_2041]) ).
tcf(c_73160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK205(X3),X3)
| ( X2 = X3 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X2,X3),sK206(X2,X3)),k2_tarski(sK206(X2,X3),sK207(X2,X3))),X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X2,X3),sK206(X2,X3)),k2_tarski(sK206(X2,X3),sK207(X2,X3))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK204(X2) ) ),
inference(demodulation,[status(thm)],[c_1058,c_2041]) ).
tcf(c_73176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK204(X3),X3)
| ( X2 = X3 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X3,X2),sK206(X3,X2)),k2_tarski(sK206(X3,X2),sK207(X3,X2))),X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X3,X2),sK206(X3,X2)),k2_tarski(sK206(X3,X2),sK207(X3,X2))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK205(X2) ) ),
inference(demodulation,[status(thm)],[c_1056,c_2041]) ).
tcf(c_73342,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK171(X0,X1,X2),sK172(X0,X1,X2)),k2_tarski(sK172(X0,X1,X2),sK172(X0,X1,X2))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK170(X0,X1,X2),sK170(X0,X1,X2)),k2_tarski(sK170(X0,X1,X2),sK171(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_981,c_2041]) ).
tcf(c_73361,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK170(X0,X1,X2),sK170(X0,X1,X2)),k2_tarski(sK170(X0,X1,X2),sK172(X0,X1,X2))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK170(X0,X1,X2),sK170(X0,X1,X2)),k2_tarski(sK170(X0,X1,X2),sK171(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_980,c_2041]) ).
tcf(c_73520,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_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_relat_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_2745,c_2026]) ).
tcf(c_73539,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_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_relat_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_2744,c_2026]) ).
tcf(c_74147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK215(X0,X1,X2,X3),sK215(X0,X1,X2,X3)),k2_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| r2_hidden(k2_tarski(k2_tarski(sK215(X0,X1,X2,X3),sK215(X0,X1,X2,X3)),k2_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1))
| ( k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ) ),
inference(demodulation,[status(thm)],[c_1071,c_2041]) ).
tcf(c_74157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK206(X2,X5),sK206(X2,X5)),k2_tarski(sK206(X2,X5),sK207(X2,X5))),X5)
| r2_hidden(k2_tarski(k2_tarski(sK206(X2,X5),sK206(X2,X5)),k2_tarski(sK206(X2,X5),sK207(X2,X5))),X2)
| ( X2 = X5 )
| ( k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)) != sK205(X5) )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK204(X2) ) ),
inference(demodulation,[status(thm)],[c_1061,c_2041]) ).
tcf(c_74227,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(sK594(X0,X1,X2),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK593(X0,X1,X2),sK593(X0,X1,X2)),k2_tarski(sK593(X0,X1,X2),sK594(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK593(X0,X1,X2),sK593(X0,X1,X2)),k2_tarski(sK593(X0,X1,X2),sK594(X0,X1,X2))),X1) ),
inference(demodulation,[status(thm)],[c_3898,c_2041]) ).
tcf(c_74286,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK345(X0,X1,X2),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK345(X0,X1,X2),sK345(X0,X1,X2)),k2_tarski(sK345(X0,X1,X2),sK346(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK345(X0,X1,X2),sK345(X0,X1,X2)),k2_tarski(sK345(X0,X1,X2),sK346(X0,X1,X2))),X0) ),
inference(demodulation,[status(thm)],[c_1934,c_2041]) ).
tcf(c_74355,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(sK215(X0,X1,X2,X3),sK215(X0,X1,X2,X3)),k2_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(sK215(X0,X1,X2,X3),sK215(X0,X1,X2,X3)),k2_tarski(sK215(X0,X1,X2,X3),sK216(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1)) ),
inference(demodulation,[status(thm)],[c_1070,c_2041]) ).
tcf(c_74365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X5 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X2,X5),sK206(X2,X5)),k2_tarski(sK206(X2,X5),sK207(X2,X5))),X5)
| ~ r2_hidden(k2_tarski(k2_tarski(sK206(X2,X5),sK206(X2,X5)),k2_tarski(sK206(X2,X5),sK207(X2,X5))),X2)
| ( k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)) != sK205(X5) )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK204(X2) ) ),
inference(demodulation,[status(thm)],[c_1060,c_2041]) ).
tcf(c_75015,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,sK171(X0,X1,X2)),k2_tarski(X3,X3)),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK170(X0,X1,X2),X3),k2_tarski(sK170(X0,X1,X2),sK170(X0,X1,X2))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK170(X0,X1,X2),sK170(X0,X1,X2)),k2_tarski(sK170(X0,X1,X2),sK171(X0,X1,X2))),X2) ),
inference(demodulation,[status(thm)],[c_979,c_2041]) ).
tcf(c_75187,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_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X5)
| ~ v1_relat_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_2743,c_2026]) ).
tcf(c_76015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_relat_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(sK154(X1,X2,X0,X3),sK154(X1,X2,X0,X3)),k2_tarski(sK154(X1,X2,X0,X3),sK155(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK154(X1,X2,X0,X3),sK154(X1,X2,X0,X3)),k2_tarski(sK154(X1,X2,X0,X3),sK155(X1,X2,X0,X3)))) ) ),
inference(demodulation,[status(thm)],[c_875,c_2041]) ).
tcf(c_76526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X2),X4)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X4)
| ( k1_funct_1(X0,k2_tarski(k2_tarski(sK158(X1,X2,X0,X3),sK158(X1,X2,X0,X3)),k2_tarski(sK158(X1,X2,X0,X3),sK159(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK158(X1,X2,X0,X3),sK158(X1,X2,X0,X3)),k2_tarski(sK158(X1,X2,X0,X3),sK159(X1,X2,X0,X3)))) ) ),
inference(demodulation,[status(thm)],[c_882,c_2041]) ).
tcf(c_76551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X2),X4)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X4)
| ( k1_funct_1(X0,k2_tarski(k2_tarski(sK156(X1,X2,X0,X3),sK156(X1,X2,X0,X3)),k2_tarski(sK156(X1,X2,X0,X3),sK157(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK156(X1,X2,X0,X3),sK156(X1,X2,X0,X3)),k2_tarski(sK156(X1,X2,X0,X3),sK157(X1,X2,X0,X3)))) ) ),
inference(demodulation,[status(thm)],[c_878,c_2041]) ).
tcf(c_76924,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_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X5)
| ~ v1_relat_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_27545,c_2026]) ).
tcf(c_77022,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_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_relat_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_2742,c_2026]) ).
tcf(c_77389,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_funct_4(X0,X1) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ sP30(X0,X1,X2)
| ( k2_tarski(k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK437(X0,X1,X2)))),k1_funct_1(X1,k2_tarski(k2_tarski(sK438(X0,X1,X2),sK438(X0,X1,X2)),k2_tarski(sK438(X0,X1,X2),sK439(X0,X1,X2))))),k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK437(X0,X1,X2)))),k1_funct_1(X0,k2_tarski(k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK437(X0,X1,X2)))))) != k1_funct_1(X2,k2_tarski(k2_zfmisc_1(k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2)),k2_tarski(sK438(X0,X1,X2),sK438(X0,X1,X2))),k2_tarski(k2_tarski(k2_tarski(sK436(X0,X1,X2),sK436(X0,X1,X2)),k2_tarski(sK436(X0,X1,X2),sK438(X0,X1,X2))),k2_tarski(k2_tarski(sK437(X0,X1,X2),sK437(X0,X1,X2)),k2_tarski(sK437(X0,X1,X2),sK439(X0,X1,X2)))))) ) ),
inference(demodulation,[status(thm)],[c_2754,c_2026,c_2041]) ).
tcf(c_77855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP22(X1,X3)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_qc_lang2(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_2463,c_2443]) ).
tcf(c_77856,plain,
! [X0: $i,X1: $i] :
( sP22(X0,X1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ r2_qc_lang2(X0,X1) ),
inference(unflattening,[status(thm)],[c_77855]) ).
tcf(c_77870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_qc_lang2(X1,X3)
| ~ m1_subset_1(X2,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ sP22(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_2463,c_2442]) ).
tcf(c_77871,plain,
! [X0: $i,X1: $i] :
( r2_qc_lang2(X0,X1)
| ~ m1_subset_1(X1,k8_qc_lang1)
| ~ m1_subset_1(X0,k8_qc_lang1)
| ~ sP22(X0,X1) ),
inference(unflattening,[status(thm)],[c_77870]) ).
tcf(c_77893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k6_pre_topc(X0,X2) = X4 )
| ~ l1_pre_topc(X1)
| ~ sP2(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_175,c_188]) ).
tcf(c_77894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_pre_topc(X1,X0) = X2 )
| ~ l1_pre_topc(X1)
| ~ sP2(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_77893]) ).
tcf(c_77911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP2(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_7449,c_188]) ).
tcf(c_77912,plain,
! [X0: $i,X1: $i] :
( sP2(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_77911]) ).
tcf(c_77922,plain,
! [X0: $i,X1: $i] :
( sP2(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_77912,c_220]) ).
tcf(c_77981,plain,
! [X0: $i] :
( l1_rlvect_1(X0)
| ( X0 != sK562 ) ),
inference(resolution_lifted,[status(thm)],[c_8126,c_3652]) ).
tcf(c_77982,plain,
l1_rlvect_1(sK562),
inference(unflattening,[status(thm)],[c_77981]) ).
tcf(c_77986,plain,
! [X0: $i] :
( l1_rlvect_1(X0)
| ( X0 != sK563 ) ),
inference(resolution_lifted,[status(thm)],[c_8126,c_3654]) ).
tcf(c_77987,plain,
l1_rlvect_1(sK563),
inference(unflattening,[status(thm)],[c_77986]) ).
tcf(c_77991,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| m1_subset_1(k3_rlvect_1(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,k1_numbers)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK562 ) ),
inference(resolution_lifted,[status(thm)],[c_3651,c_3652]) ).
tcf(c_77992,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK562)
| m1_subset_1(k3_rlvect_1(sK562,X0,X1),u1_struct_0(sK562))
| ~ m1_subset_1(X1,k1_numbers)
| ~ m1_subset_1(X0,u1_struct_0(sK562)) ),
inference(unflattening,[status(thm)],[c_77991]) ).
tcf(c_78006,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| m1_subset_1(k3_rlvect_1(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,k1_numbers)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK563 ) ),
inference(resolution_lifted,[status(thm)],[c_3651,c_3654]) ).
tcf(c_78007,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK563)
| m1_subset_1(k3_rlvect_1(sK563,X0,X1),u1_struct_0(sK563))
| ~ m1_subset_1(X1,k1_numbers)
| ~ m1_subset_1(X0,u1_struct_0(sK563)) ),
inference(unflattening,[status(thm)],[c_78006]) ).
tcf(c_78009,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X0,u1_struct_0(sK563))
| ~ m1_subset_1(X1,k1_numbers)
| m1_subset_1(k3_rlvect_1(sK563,X0,X1),u1_struct_0(sK563)) ),
inference(global_subsumption_just,[status(thm)],[c_78007,c_3655,c_78007]) ).
tcf(c_78010,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k3_rlvect_1(sK563,X0,X1),u1_struct_0(sK563))
| ~ m1_subset_1(X1,k1_numbers)
| ~ m1_subset_1(X0,u1_struct_0(sK563)) ),
inference(renaming,[status(thm)],[c_78009]) ).
tcf(c_78030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| sP11(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))
| ~ v10_lattices(k8_filter_1(X1,X3))
| ~ v17_lattices(k8_filter_1(X1,X3))
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_1378,c_1364]) ).
tcf(c_78031,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP11(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))
| ~ v10_lattices(k8_filter_1(X0,X1))
| ~ v17_lattices(k8_filter_1(X0,X1)) ),
inference(unflattening,[status(thm)],[c_78030]) ).
tcf(c_78033,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP11(X0,X1)
| ~ v10_lattices(k8_filter_1(X0,X1))
| ~ v17_lattices(k8_filter_1(X0,X1))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1) ),
inference(global_subsumption_just,[status(thm)],[c_78031,c_1359,c_1415,c_1378,c_1404,c_1403,c_1364]) ).
tcf(c_78034,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP11(X0,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(k8_filter_1(X0,X1))
| ~ v17_lattices(k8_filter_1(X0,X1)) ),
inference(renaming,[status(thm)],[c_78033]) ).
tcf(c_78064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| sP13(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_1402,c_1388]) ).
tcf(c_78065,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP13(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_78064]) ).
tcf(c_78067,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP13(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_78065,c_1359,c_1415,c_1402,c_1404,c_1403,c_1388]) ).
tcf(c_78068,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP13(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_78067]) ).
tcf(c_78148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k8_relat_1(X2,X0) = X4 )
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X1)
| ~ sP40(X0,X2,X4)
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3855,c_3867]) ).
tcf(c_78149,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_relat_1(X1,X0) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ sP40(X0,X1,X2) ),
inference(unflattening,[status(thm)],[c_78148]) ).
tcf(c_78168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP40(X1,X0,k8_relat_1(X0,X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X2)
| ( X1 != X4 )
| ( X0 != X3 )
| ( k8_relat_1(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_8903,c_3867]) ).
tcf(c_78169,plain,
! [X0: $i,X1: $i] :
( sP40(X1,X0,k8_relat_1(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(unflattening,[status(thm)],[c_78168]) ).
tcf(c_78181,plain,
! [X0: $i,X1: $i] :
( sP40(X0,X1,k8_relat_1(X1,X0))
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78169,c_3869,c_7255]) ).
tcf(c_78195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| sP27(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_2651,c_2634]) ).
tcf(c_78196,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP27(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_78195]) ).
tcf(c_78198,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP27(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_78196,c_1359,c_1415,c_2651,c_1404,c_1403,c_2634]) ).
tcf(c_78199,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP27(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_78198]) ).
tcf(c_78758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_setfam_1(k2_tarski(k2_pre_topc(X1),sK45(X2,X1,X3))) = X3 )
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ~ v4_pre_topc(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ( X0 != X2 )
| ( sK81(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_65320,c_7079]) ).
tcf(c_78759,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(k2_tarski(k2_pre_topc(sK81(X1)),sK45(X1,sK81(X1),X0))) = X0 )
| ~ l1_pre_topc(X1)
| ~ v4_pre_topc(X0,sK81(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK81(X1)))) ),
inference(unflattening,[status(thm)],[c_78758]) ).
tcf(c_78773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_setfam_1(k2_tarski(k2_pre_topc(X1),k6_pre_topc(X2,X3))) = k6_pre_topc(X1,X3) )
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ( X0 != X2 )
| ( sK81(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_62487,c_7079]) ).
tcf(c_78774,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(k2_tarski(k2_pre_topc(sK81(X1)),k6_pre_topc(X1,X0))) = k6_pre_topc(sK81(X1),X0) )
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK81(X1)))) ),
inference(unflattening,[status(thm)],[c_78773]) ).
tcf(c_78785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ( X0 != X2 )
| ( sK81(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_332,c_7079]) ).
tcf(c_78786,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK81(X1)))) ),
inference(unflattening,[status(thm)],[c_78785]) ).
tcf(c_78797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v4_pre_topc(sK45(X2,X1,X3),X2)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ~ v4_pre_topc(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ( X0 != X2 )
| ( sK81(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_71,c_7079]) ).
tcf(c_78798,plain,
! [X0: $i,X1: $i] :
( v4_pre_topc(sK45(X1,sK81(X1),X0),X1)
| ~ l1_pre_topc(X1)
| ~ v4_pre_topc(X0,sK81(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK81(X1)))) ),
inference(unflattening,[status(thm)],[c_78797]) ).
tcf(c_78812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK45(X2,X1,X3),k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ~ v4_pre_topc(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ( X0 != X2 )
| ( sK81(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_70,c_7079]) ).
tcf(c_78813,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK45(X1,sK81(X1),X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v4_pre_topc(X0,sK81(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK81(X1)))) ),
inference(unflattening,[status(thm)],[c_78812]) ).
tcf(c_78827,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X2)
| ( X0 != X2 )
| ( sK81(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_333,c_7079]) ).
tcf(c_78828,plain,
! [X0: $i] :
( v2_pre_topc(sK81(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_78827]) ).
tcf(c_78839,plain,
! [X0: $i,X1: $i,X2: $i] :
( l1_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ( X0 != X2 )
| ( sK81(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_331,c_7079]) ).
tcf(c_78840,plain,
! [X0: $i] :
( l1_pre_topc(sK81(X0))
| ~ l1_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_78839]) ).
tcf(c_78848,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ( X0 != X2 )
| ( sK81(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_329,c_7079]) ).
tcf(c_78849,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK81(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_78848]) ).
tcf(c_78857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v4_pre_topc(k1_setfam_1(k2_tarski(k2_pre_topc(X1),X3)),X1)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ~ v4_pre_topc(X3,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(k1_setfam_1(k2_tarski(k2_pre_topc(X1),X3)),k1_zfmisc_1(u1_struct_0(X1)))
| ( X0 != X2 )
| ( sK81(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_7079,c_67019]) ).
tcf(c_78858,plain,
! [X0: $i,X1: $i] :
( v4_pre_topc(k1_setfam_1(k2_tarski(k2_pre_topc(sK81(X0)),X1)),sK81(X0))
| ~ l1_pre_topc(X0)
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(k1_setfam_1(k2_tarski(k2_pre_topc(sK81(X0)),X1)),k1_zfmisc_1(u1_struct_0(sK81(X0)))) ),
inference(unflattening,[status(thm)],[c_78857]) ).
tcf(c_122710,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ v1_relat_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_3656]) ).
tcf(c_122711,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ v1_relat_1(X0)
| r1_rfinseq(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_3656]) ).
tcf(c_122712,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_3656]) ).
tcf(c_122713,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ m1_subset_1(X0,k8_qc_lang1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_3581]) ).
tcf(c_122714,plain,
! [X0: $i] :
( ~ iPr_def_13
| ~ m1_subset_1(X0,k8_qc_lang1)
| r2_qc_lang2(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_3581]) ).
tcf(c_122715,plain,
( iPr_def_13
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_3581]) ).
tcf(c_122716,plain,
! [X0: $i] :
( ~ iPr_def_14
| ~ v3_ordinal1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_3520]) ).
tcf(c_122717,plain,
! [X0: $i] :
( ~ iPr_def_15
| ~ v3_ordinal1(X0)
| r1_ordinal1(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_3520]) ).
tcf(c_122718,plain,
( iPr_def_15
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_3520]) ).
tcf(c_122719,plain,
! [X0: $i] :
( ~ iPr_def_16
| ~ v1_xreal_0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_1299]) ).
tcf(c_122720,plain,
! [X0: $i] :
( ~ iPr_def_17
| ~ v1_xreal_0(X0)
| r1_xreal_0(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_1299]) ).
tcf(c_122721,plain,
( iPr_def_17
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1299]) ).
tcf(c_122722,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_18
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_196]) ).
tcf(c_122723,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_19
| ( 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_19])],[c_196]) ).
tcf(c_122724,plain,
( iPr_def_19
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_196]) ).
tcf(c_122725,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_20
| ( 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_20])],[c_195]) ).
tcf(c_122726,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_21
| ~ 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_21])],[c_195]) ).
tcf(c_122727,plain,
( iPr_def_21
| iPr_def_20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_195]) ).
tcf(c_123045,plain,
( ~ iPr_def_10
| ~ v1_relat_1(np__0) ),
inference(instantiation,[status(thm)],[c_122710]) ).
tcf(c_123047,plain,
( ~ iPr_def_14
| ~ v3_ordinal1(np__0) ),
inference(instantiation,[status(thm)],[c_122716]) ).
tcf(c_123048,plain,
( ~ iPr_def_16
| ~ v1_xreal_0(np__0) ),
inference(instantiation,[status(thm)],[c_122719]) ).
tcf(c_163167,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(X0,k2_xboole_0(X1,X2)) = k2_xboole_0(X1,k2_xboole_0(X0,X2)),
inference(superposition,[status(thm)],[c_543,c_546]) ).
tcf(c_163168,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_3131,c_3133]) ).
tcf(c_163200,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(k2_xboole_0(X0,X0),X1) = k2_zfmisc_1(X0,k2_xboole_0(X1,X1)),
inference(superposition,[status(thm)],[c_503,c_504]) ).
tcf(c_163202,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(X0,k2_xboole_0(X1,X1)) = k2_zfmisc_1(X0,X1),
inference(light_normalisation,[status(thm)],[c_163200,c_545]) ).
tcf(c_163212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_tarski(X3,X3) = np__0 )
| ( k2_enumset1(X0,X0,X1,X2) = np__0 )
| ( k2_enumset1(X0,X0,X1,X2) = k2_tarski(X3,X3) )
| ( k2_enumset1(X0,X1,X2,X3) != k2_tarski(X4,X4) ) ),
inference(superposition,[status(thm)],[c_53,c_511]) ).
tcf(c_163213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_zfmisc_1(X0,k4_xboole_0(X1,X3)) = np__0 )
| ( k2_zfmisc_1(k4_xboole_0(X0,X2),X1) = np__0 )
| ( k2_zfmisc_1(k4_xboole_0(X0,X2),X1) = k2_zfmisc_1(X0,k4_xboole_0(X1,X3)) )
| ( k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)) != k2_tarski(X4,X4) ) ),
inference(superposition,[status(thm)],[c_501,c_511]) ).
tcf(c_163214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_zfmisc_1(X0,X2) = np__0 )
| ( k2_zfmisc_1(X0,X1) = np__0 )
| ( k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X0,X2) )
| ( k2_zfmisc_1(X0,k2_xboole_0(X1,X2)) != k2_tarski(X3,X3) ) ),
inference(superposition,[status(thm)],[c_504,c_511]) ).
tcf(c_163215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_zfmisc_1(X1,X2) = np__0 )
| ( k2_zfmisc_1(X0,X2) = np__0 )
| ( k2_zfmisc_1(X0,X2) = k2_zfmisc_1(X1,X2) )
| ( k2_zfmisc_1(k2_xboole_0(X0,X1),X2) != k2_tarski(X3,X3) ) ),
inference(superposition,[status(thm)],[c_503,c_511]) ).
tcf(c_163233,plain,
iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_122712,c_2077,c_123045,c_122712]) ).
tcf(c_163239,plain,
iPr_def_15,
inference(global_subsumption_just,[status(thm)],[c_122718,c_2260,c_123047,c_122718]) ).
tcf(c_163241,plain,
iPr_def_17,
inference(global_subsumption_just,[status(thm)],[c_122721,c_2189,c_2187,c_4473,c_4505,c_123048,c_122721]) ).
tcf(c_163253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_enumset1(X0,X0,X1,X2) = np__0 )
| ( k2_enumset1(X0,X0,X1,X2) = k2_tarski(X4,X4) )
| ( k2_enumset1(X0,X1,X2,X3) != k2_tarski(X4,X4) ) ),
inference(superposition,[status(thm)],[c_53,c_512]) ).
tcf(c_163254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_zfmisc_1(k4_xboole_0(X0,X2),X1) = np__0 )
| ( k2_zfmisc_1(k4_xboole_0(X0,X2),X1) = k2_tarski(X4,X4) )
| ( k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)) != k2_tarski(X4,X4) ) ),
inference(superposition,[status(thm)],[c_501,c_512]) ).
tcf(c_163255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_zfmisc_1(X0,X1) = np__0 )
| ( k2_tarski(X3,X3) = k2_zfmisc_1(X0,X1) )
| ( k2_zfmisc_1(X0,k2_xboole_0(X1,X2)) != k2_tarski(X3,X3) ) ),
inference(superposition,[status(thm)],[c_504,c_512]) ).
tcf(c_163256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_zfmisc_1(X0,X2) = np__0 )
| ( k2_tarski(X3,X3) = k2_zfmisc_1(X0,X2) )
| ( k2_zfmisc_1(k2_xboole_0(X0,X1),X2) != k2_tarski(X3,X3) ) ),
inference(superposition,[status(thm)],[c_503,c_512]) ).
tcf(c_163280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_tarski(X3,X3) = k2_tarski(X4,X4) )
| ( k2_enumset1(X0,X0,X1,X2) = k2_tarski(X4,X4) )
| ( k2_enumset1(X0,X1,X2,X3) != k2_tarski(X4,X4) ) ),
inference(superposition,[status(thm)],[c_53,c_518]) ).
tcf(c_163281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_zfmisc_1(X0,k4_xboole_0(X1,X3)) = k2_tarski(X4,X4) )
| ( k2_zfmisc_1(k4_xboole_0(X0,X2),X1) = k2_tarski(X4,X4) )
| ( k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)) != k2_tarski(X4,X4) ) ),
inference(superposition,[status(thm)],[c_501,c_518]) ).
tcf(c_163282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(X3,X3) = k2_zfmisc_1(X0,X2) )
| ( k2_tarski(X3,X3) = k2_zfmisc_1(X0,X1) )
| ( k2_zfmisc_1(X0,k2_xboole_0(X1,X2)) != k2_tarski(X3,X3) ) ),
inference(superposition,[status(thm)],[c_504,c_518]) ).
tcf(c_163283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(X3,X3) = k2_zfmisc_1(X1,X2) )
| ( k2_tarski(X3,X3) = k2_zfmisc_1(X0,X2) )
| ( k2_zfmisc_1(k2_xboole_0(X0,X1),X2) != k2_tarski(X3,X3) ) ),
inference(superposition,[status(thm)],[c_503,c_518]) ).
tcf(c_163305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_tarski(X3,X3) = np__0 )
| ( k2_tarski(X3,X3) = k2_tarski(X4,X4) )
| ( k2_enumset1(X0,X1,X2,X3) != k2_tarski(X4,X4) ) ),
inference(superposition,[status(thm)],[c_53,c_519]) ).
tcf(c_163306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_zfmisc_1(X0,k4_xboole_0(X1,X3)) = np__0 )
| ( k2_zfmisc_1(X0,k4_xboole_0(X1,X3)) = k2_tarski(X4,X4) )
| ( k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)) != k2_tarski(X4,X4) ) ),
inference(superposition,[status(thm)],[c_501,c_519]) ).
tcf(c_163307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_zfmisc_1(X0,X2) = np__0 )
| ( k2_tarski(X3,X3) = k2_zfmisc_1(X0,X2) )
| ( k2_zfmisc_1(X0,k2_xboole_0(X1,X2)) != k2_tarski(X3,X3) ) ),
inference(superposition,[status(thm)],[c_504,c_519]) ).
tcf(c_163308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_zfmisc_1(X1,X2) = np__0 )
| ( k2_tarski(X3,X3) = k2_zfmisc_1(X1,X2) )
| ( k2_zfmisc_1(k2_xboole_0(X0,X1),X2) != k2_tarski(X3,X3) ) ),
inference(superposition,[status(thm)],[c_503,c_519]) ).
tcf(c_163322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_enumset1(X0,X0,X1,X2),k2_enumset1(X0,X1,X2,X3)) = np__0,
inference(superposition,[status(thm)],[c_53,c_522]) ).
tcf(c_163323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3))) = np__0,
inference(superposition,[status(thm)],[c_501,c_522]) ).
tcf(c_163324,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,k2_xboole_0(X1,X2))) = np__0,
inference(superposition,[status(thm)],[c_504,c_522]) ).
tcf(c_163325,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k2_xboole_0(X0,X2),X1)) = np__0,
inference(superposition,[status(thm)],[c_503,c_522]) ).
tcf(c_163326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k2_xboole_0(X0,X2),X3)) = k2_xboole_0(k2_zfmisc_1(np__0,X1),k2_zfmisc_1(X0,k4_xboole_0(X1,X3))),
inference(superposition,[status(thm)],[c_522,c_501]) ).
tcf(c_163327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,k2_xboole_0(X1,X3))) = k2_xboole_0(k2_zfmisc_1(k4_xboole_0(X0,X2),X1),k2_zfmisc_1(X0,np__0)),
inference(superposition,[status(thm)],[c_522,c_501]) ).
tcf(c_163328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,k2_xboole_0(X1,X3))) = k2_xboole_0(k2_zfmisc_1(X0,np__0),k2_zfmisc_1(k4_xboole_0(X0,X2),X1)),
inference(theory_normalisation,[status(thm)],[c_163327,c_543,c_546,c_3131,c_3133]) ).
tcf(c_163329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,k2_xboole_0(X1,X3))) = k2_xboole_0(np__0,k2_zfmisc_1(k4_xboole_0(X0,X2),X1)),
inference(light_normalisation,[status(thm)],[c_163328,c_630]) ).
tcf(c_163336,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X0,X2)) = k2_xboole_0(np__0,k4_xboole_0(X1,k2_xboole_0(X0,X2))),
inference(superposition,[status(thm)],[c_522,c_526]) ).
tcf(c_163337,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,k2_xboole_0(X1,X2)),np__0),
inference(superposition,[status(thm)],[c_522,c_526]) ).
tcf(c_163338,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(k2_xboole_0(X0,X2),X1)) = np__0,
inference(superposition,[status(thm)],[c_526,c_522]) ).
tcf(c_163339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k4_xboole_0(X1,X2) = np__0 )
| ( k2_tarski(X3,X3) = k4_xboole_0(X1,X2) )
| ( k4_xboole_0(k2_xboole_0(X0,X1),X2) != k2_tarski(X3,X3) ) ),
inference(superposition,[status(thm)],[c_526,c_519]) ).
tcf(c_163340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(X3,X3) = k4_xboole_0(X1,X2) )
| ( k2_tarski(X3,X3) = k4_xboole_0(X0,X2) )
| ( k4_xboole_0(k2_xboole_0(X0,X1),X2) != k2_tarski(X3,X3) ) ),
inference(superposition,[status(thm)],[c_526,c_518]) ).
tcf(c_163341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k4_xboole_0(X0,X2) = np__0 )
| ( k2_tarski(X3,X3) = k4_xboole_0(X0,X2) )
| ( k4_xboole_0(k2_xboole_0(X0,X1),X2) != k2_tarski(X3,X3) ) ),
inference(superposition,[status(thm)],[c_526,c_512]) ).
tcf(c_163342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k4_xboole_0(X1,X2) = np__0 )
| ( k4_xboole_0(X0,X2) = np__0 )
| ( k4_xboole_0(X0,X2) = k4_xboole_0(X1,X2) )
| ( k4_xboole_0(k2_xboole_0(X0,X1),X2) != k2_tarski(X3,X3) ) ),
inference(superposition,[status(thm)],[c_526,c_511]) ).
tcf(c_163343,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X1,X2)) = k2_xboole_0(np__0,k4_xboole_0(X0,k2_xboole_0(X1,X2))),
inference(theory_normalisation,[status(thm)],[c_163337,c_543,c_546,c_3131,c_3133]) ).
tcf(c_163360,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_58,c_78786]) ).
tcf(c_163364,plain,
! [X0: $i] :
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_116,c_78786]) ).
tcf(c_163369,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_163360,c_78786]) ).
tcf(c_163374,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(X0))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_117,c_78786]) ).
tcf(c_163382,plain,
l1_struct_0(sK133),
inference(superposition,[status(thm)],[c_753,c_247]) ).
tcf(c_163383,plain,
l1_struct_0(sK571),
inference(superposition,[status(thm)],[c_3694,c_247]) ).
tcf(c_163384,plain,
l1_struct_0(sK575),
inference(superposition,[status(thm)],[c_3710,c_247]) ).
tcf(c_163385,plain,
l1_struct_0(sK576),
inference(superposition,[status(thm)],[c_3717,c_247]) ).
tcf(c_163390,plain,
l1_struct_0(sK42),
inference(superposition,[status(thm)],[c_57,c_248]) ).
tcf(c_163391,plain,
l1_struct_0(sK44),
inference(superposition,[status(thm)],[c_59,c_248]) ).
tcf(c_163392,plain,
! [X0: $i] :
( l1_struct_0(sK81(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_78840,c_248]) ).
tcf(c_163400,plain,
! [X0: $i] : v1_funct_1(sK53(X0)),
inference(superposition,[status(thm)],[c_118,c_435]) ).
tcf(c_163403,plain,
v1_funct_1(sK91),
inference(superposition,[status(thm)],[c_441,c_435]) ).
tcf(c_163404,plain,
v1_funct_1(sK93),
inference(superposition,[status(thm)],[c_448,c_435]) ).
tcf(c_163405,plain,
! [X0: $i] : v1_funct_1(sK136(X0)),
inference(superposition,[status(thm)],[c_762,c_435]) ).
tcf(c_163409,plain,
v1_funct_1(sK525),
inference(superposition,[status(thm)],[c_3300,c_435]) ).
tcf(c_163412,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_163369,c_78840,c_163369]) ).
tcf(c_163419,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_163412,c_78786]) ).
tcf(c_163428,plain,
! [X0: $i] : v1_relat_1(sK53(X0)),
inference(superposition,[status(thm)],[c_118,c_440]) ).
tcf(c_163432,plain,
v1_relat_1(sK93),
inference(superposition,[status(thm)],[c_448,c_440]) ).
tcf(c_163433,plain,
! [X0: $i] : v1_relat_1(sK136(X0)),
inference(superposition,[status(thm)],[c_762,c_440]) ).
tcf(c_163437,plain,
v1_relat_1(sK525),
inference(superposition,[status(thm)],[c_3300,c_440]) ).
tcf(c_163440,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_53,c_540]) ).
tcf(c_163441,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_501,c_540]) ).
tcf(c_163442,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,k2_xboole_0(X1,X2))),
inference(superposition,[status(thm)],[c_504,c_540]) ).
tcf(c_163443,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k2_xboole_0(X0,X2),X1)),
inference(superposition,[status(thm)],[c_503,c_540]) ).
tcf(c_163444,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,X1),k4_xboole_0(k2_xboole_0(X0,X2),X1)),
inference(superposition,[status(thm)],[c_526,c_540]) ).
tcf(c_163450,plain,
! [X0: $i,X1: $i] : r1_xboole_0(np__0,k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_522,c_707]) ).
tcf(c_163464,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_163374,c_78786]) ).
tcf(c_163477,plain,
! [X0: $i] : v1_finset_1(sK53(X0)),
inference(superposition,[status(thm)],[c_118,c_816]) ).
tcf(c_163478,plain,
v1_finset_1(sK89),
inference(superposition,[status(thm)],[c_433,c_816]) ).
tcf(c_163479,plain,
v1_finset_1(np__0),
inference(superposition,[status(thm)],[c_2187,c_816]) ).
tcf(c_163480,plain,
v1_finset_1(sK91),
inference(superposition,[status(thm)],[c_441,c_816]) ).
tcf(c_163481,plain,
v1_finset_1(sK93),
inference(superposition,[status(thm)],[c_448,c_816]) ).
tcf(c_163485,plain,
v1_finset_1(sK324),
inference(superposition,[status(thm)],[c_1811,c_816]) ).
tcf(c_163486,plain,
v1_finset_1(sK525),
inference(superposition,[status(thm)],[c_3300,c_816]) ).
tcf(c_163505,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_163419,c_78840,c_163419]) ).
tcf(c_163512,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_163505,c_78786]) ).
tcf(c_163517,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_tarski(X0,X1),k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_49,c_1184]) ).
tcf(c_163519,plain,
r1_tarski(np__0,k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_1196,c_1184]) ).
tcf(c_163533,plain,
v1_xcmplx_0(sK383),
inference(superposition,[status(thm)],[c_2360,c_1724]) ).
tcf(c_163539,plain,
v1_xreal_0(sK383),
inference(superposition,[status(thm)],[c_2360,c_1725]) ).
tcf(c_163560,plain,
v1_card_1(np__0),
inference(superposition,[status(thm)],[c_2055,c_3500]) ).
tcf(c_163561,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_163464,c_78840,c_163464]) ).
tcf(c_163568,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(X0))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_163561,c_78786]) ).
tcf(c_163577,plain,
! [X0: $i] : v1_membered(sK53(X0)),
inference(superposition,[status(thm)],[c_118,c_2182]) ).
tcf(c_163578,plain,
v1_membered(sK89),
inference(superposition,[status(thm)],[c_433,c_2182]) ).
tcf(c_163580,plain,
v1_membered(sK91),
inference(superposition,[status(thm)],[c_441,c_2182]) ).
tcf(c_163581,plain,
v1_membered(sK93),
inference(superposition,[status(thm)],[c_448,c_2182]) ).
tcf(c_163582,plain,
! [X0: $i] : v1_membered(sK136(X0)),
inference(superposition,[status(thm)],[c_762,c_2182]) ).
tcf(c_163583,plain,
v1_membered(sK139),
inference(superposition,[status(thm)],[c_784,c_2182]) ).
tcf(c_163584,plain,
v1_membered(sK318),
inference(superposition,[status(thm)],[c_1780,c_2182]) ).
tcf(c_163585,plain,
v1_membered(sK324),
inference(superposition,[status(thm)],[c_1811,c_2182]) ).
tcf(c_163586,plain,
v1_membered(sK525),
inference(superposition,[status(thm)],[c_3300,c_2182]) ).
tcf(c_163593,plain,
! [X0: $i] : v2_membered(sK53(X0)),
inference(superposition,[status(thm)],[c_118,c_2183]) ).
tcf(c_163594,plain,
v2_membered(sK89),
inference(superposition,[status(thm)],[c_433,c_2183]) ).
tcf(c_163596,plain,
v2_membered(sK91),
inference(superposition,[status(thm)],[c_441,c_2183]) ).
tcf(c_163597,plain,
v2_membered(sK93),
inference(superposition,[status(thm)],[c_448,c_2183]) ).
tcf(c_163598,plain,
! [X0: $i] : v2_membered(sK136(X0)),
inference(superposition,[status(thm)],[c_762,c_2183]) ).
tcf(c_163599,plain,
v2_membered(sK139),
inference(superposition,[status(thm)],[c_784,c_2183]) ).
tcf(c_163600,plain,
v2_membered(sK318),
inference(superposition,[status(thm)],[c_1780,c_2183]) ).
tcf(c_163601,plain,
v2_membered(sK324),
inference(superposition,[status(thm)],[c_1811,c_2183]) ).
tcf(c_163602,plain,
v2_membered(sK525),
inference(superposition,[status(thm)],[c_3300,c_2183]) ).
tcf(c_163609,plain,
! [X0: $i] : v3_membered(sK53(X0)),
inference(superposition,[status(thm)],[c_118,c_2184]) ).
tcf(c_163610,plain,
v3_membered(sK89),
inference(superposition,[status(thm)],[c_433,c_2184]) ).
tcf(c_163612,plain,
v3_membered(sK91),
inference(superposition,[status(thm)],[c_441,c_2184]) ).
tcf(c_163613,plain,
v3_membered(sK93),
inference(superposition,[status(thm)],[c_448,c_2184]) ).
tcf(c_163614,plain,
! [X0: $i] : v3_membered(sK136(X0)),
inference(superposition,[status(thm)],[c_762,c_2184]) ).
tcf(c_163615,plain,
v3_membered(sK139),
inference(superposition,[status(thm)],[c_784,c_2184]) ).
tcf(c_163616,plain,
v3_membered(sK318),
inference(superposition,[status(thm)],[c_1780,c_2184]) ).
tcf(c_163617,plain,
v3_membered(sK324),
inference(superposition,[status(thm)],[c_1811,c_2184]) ).
tcf(c_163618,plain,
v3_membered(sK525),
inference(superposition,[status(thm)],[c_3300,c_2184]) ).
tcf(c_163626,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_163512,c_78840,c_163512]) ).
tcf(c_163633,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_163626,c_78786]) ).
tcf(c_163642,plain,
! [X0: $i] : v4_membered(sK53(X0)),
inference(superposition,[status(thm)],[c_118,c_2185]) ).
tcf(c_163643,plain,
v4_membered(sK89),
inference(superposition,[status(thm)],[c_433,c_2185]) ).
tcf(c_163645,plain,
v4_membered(sK91),
inference(superposition,[status(thm)],[c_441,c_2185]) ).
tcf(c_163646,plain,
v4_membered(sK93),
inference(superposition,[status(thm)],[c_448,c_2185]) ).
tcf(c_163647,plain,
! [X0: $i] : v4_membered(sK136(X0)),
inference(superposition,[status(thm)],[c_762,c_2185]) ).
tcf(c_163648,plain,
v4_membered(sK139),
inference(superposition,[status(thm)],[c_784,c_2185]) ).
tcf(c_163649,plain,
v4_membered(sK318),
inference(superposition,[status(thm)],[c_1780,c_2185]) ).
tcf(c_163650,plain,
v4_membered(sK324),
inference(superposition,[status(thm)],[c_1811,c_2185]) ).
tcf(c_163651,plain,
v4_membered(sK525),
inference(superposition,[status(thm)],[c_3300,c_2185]) ).
tcf(c_163658,plain,
! [X0: $i] : v5_membered(sK53(X0)),
inference(superposition,[status(thm)],[c_118,c_2186]) ).
tcf(c_163659,plain,
v5_membered(sK89),
inference(superposition,[status(thm)],[c_433,c_2186]) ).
tcf(c_163661,plain,
v5_membered(sK91),
inference(superposition,[status(thm)],[c_441,c_2186]) ).
tcf(c_163662,plain,
v5_membered(sK93),
inference(superposition,[status(thm)],[c_448,c_2186]) ).
tcf(c_163663,plain,
! [X0: $i] : v5_membered(sK136(X0)),
inference(superposition,[status(thm)],[c_762,c_2186]) ).
tcf(c_163664,plain,
v5_membered(sK139),
inference(superposition,[status(thm)],[c_784,c_2186]) ).
tcf(c_163665,plain,
v5_membered(sK318),
inference(superposition,[status(thm)],[c_1780,c_2186]) ).
tcf(c_163666,plain,
v5_membered(sK324),
inference(superposition,[status(thm)],[c_1811,c_2186]) ).
tcf(c_163667,plain,
v5_membered(sK525),
inference(superposition,[status(thm)],[c_3300,c_2186]) ).
tcf(c_163688,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(X0))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_163568,c_78840,c_163568]) ).
tcf(c_163695,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(X0)))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_163688,c_78786]) ).
tcf(c_163719,plain,
l1_lattices(sK115),
inference(superposition,[status(thm)],[c_615,c_2588]) ).
tcf(c_163720,plain,
l1_lattices(sK265),
inference(superposition,[status(thm)],[c_1484,c_2588]) ).
tcf(c_163721,plain,
l1_lattices(sK266),
inference(superposition,[status(thm)],[c_1495,c_2588]) ).
tcf(c_163722,plain,
l1_lattices(sK267),
inference(superposition,[status(thm)],[c_1508,c_2588]) ).
tcf(c_163723,plain,
l1_lattices(sK268),
inference(superposition,[status(thm)],[c_1518,c_2588]) ).
tcf(c_163724,plain,
l1_lattices(sK269),
inference(superposition,[status(thm)],[c_1521,c_2588]) ).
tcf(c_163725,plain,
l1_lattices(sK421),
inference(superposition,[status(thm)],[c_2671,c_2588]) ).
tcf(c_163726,plain,
l1_lattices(sK422),
inference(superposition,[status(thm)],[c_2693,c_2588]) ).
tcf(c_163738,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_163633,c_78840,c_163633]) ).
tcf(c_163745,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_163738,c_78786]) ).
tcf(c_163754,plain,
l2_lattices(sK115),
inference(superposition,[status(thm)],[c_615,c_2589]) ).
tcf(c_163755,plain,
l2_lattices(sK265),
inference(superposition,[status(thm)],[c_1484,c_2589]) ).
tcf(c_163756,plain,
l2_lattices(sK266),
inference(superposition,[status(thm)],[c_1495,c_2589]) ).
tcf(c_163757,plain,
l2_lattices(sK267),
inference(superposition,[status(thm)],[c_1508,c_2589]) ).
tcf(c_163758,plain,
l2_lattices(sK268),
inference(superposition,[status(thm)],[c_1518,c_2589]) ).
tcf(c_163759,plain,
l2_lattices(sK269),
inference(superposition,[status(thm)],[c_1521,c_2589]) ).
tcf(c_163760,plain,
l2_lattices(sK421),
inference(superposition,[status(thm)],[c_2671,c_2589]) ).
tcf(c_163761,plain,
l2_lattices(sK422),
inference(superposition,[status(thm)],[c_2693,c_2589]) ).
tcf(c_163766,plain,
l1_struct_0(sK414),
inference(superposition,[status(thm)],[c_2590,c_2591]) ).
tcf(c_163767,plain,
v8_relat_2(np__0),
inference(superposition,[status(thm)],[c_2838,c_3973]) ).
tcf(c_163768,plain,
v3_relat_2(np__0),
inference(superposition,[status(thm)],[c_2838,c_3972]) ).
tcf(c_163771,plain,
v2_funct_1(np__0),
inference(superposition,[status(thm)],[c_2838,c_2816]) ).
tcf(c_163776,plain,
! [X0: $i] : v1_realset1(sK53(X0)),
inference(superposition,[status(thm)],[c_118,c_3026]) ).
tcf(c_163777,plain,
v1_realset1(sK89),
inference(superposition,[status(thm)],[c_433,c_3026]) ).
tcf(c_163778,plain,
v1_realset1(np__0),
inference(superposition,[status(thm)],[c_2187,c_3026]) ).
tcf(c_163779,plain,
v1_realset1(sK91),
inference(superposition,[status(thm)],[c_441,c_3026]) ).
tcf(c_163780,plain,
v1_realset1(sK93),
inference(superposition,[status(thm)],[c_448,c_3026]) ).
tcf(c_163781,plain,
! [X0: $i] : v1_realset1(sK136(X0)),
inference(superposition,[status(thm)],[c_762,c_3026]) ).
tcf(c_163782,plain,
v1_realset1(sK139),
inference(superposition,[status(thm)],[c_784,c_3026]) ).
tcf(c_163783,plain,
v1_realset1(sK318),
inference(superposition,[status(thm)],[c_1780,c_3026]) ).
tcf(c_163784,plain,
v1_realset1(sK324),
inference(superposition,[status(thm)],[c_1811,c_3026]) ).
tcf(c_163785,plain,
v1_realset1(sK525),
inference(superposition,[status(thm)],[c_3300,c_3026]) ).
tcf(c_163788,plain,
l1_struct_0(sK115),
inference(superposition,[status(thm)],[c_163754,c_2591]) ).
tcf(c_163789,plain,
l1_struct_0(sK265),
inference(superposition,[status(thm)],[c_163755,c_2591]) ).
tcf(c_163790,plain,
l1_struct_0(sK266),
inference(superposition,[status(thm)],[c_163756,c_2591]) ).
tcf(c_163791,plain,
l1_struct_0(sK267),
inference(superposition,[status(thm)],[c_163757,c_2591]) ).
tcf(c_163792,plain,
l1_struct_0(sK268),
inference(superposition,[status(thm)],[c_163758,c_2591]) ).
tcf(c_163793,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(X0)))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_163695,c_78840,c_163695]) ).
tcf(c_163800,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_163793,c_78786]) ).
tcf(c_163809,plain,
l1_struct_0(sK494),
inference(superposition,[status(thm)],[c_3058,c_3059]) ).
tcf(c_163813,plain,
l1_struct_0(sK421),
inference(superposition,[status(thm)],[c_163725,c_3059]) ).
tcf(c_163814,plain,
l1_struct_0(sK422),
inference(superposition,[status(thm)],[c_163726,c_3059]) ).
tcf(c_163817,plain,
l1_struct_0(sK269),
inference(superposition,[status(thm)],[c_163724,c_3059]) ).
tcf(c_163821,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_163745,c_78840,c_163745]) ).
tcf(c_163828,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_163821,c_78786]) ).
tcf(c_163833,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_163800,c_78840,c_163800]) ).
tcf(c_163840,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_163833,c_78786]) ).
tcf(c_163861,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_163828,c_78840,c_163828]) ).
tcf(c_163868,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_163861,c_78786]) ).
tcf(c_163893,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_49,c_3412]) ).
tcf(c_163894,plain,
r1_tarski(k1_setfam_1(np__0),np__0),
inference(superposition,[status(thm)],[c_1196,c_3412]) ).
tcf(c_163895,plain,
r1_tarski(np__0,np__0),
inference(light_normalisation,[status(thm)],[c_163894,c_3421]) ).
tcf(c_163896,plain,
r1_tarski(np__0,k3_tarski(np__0)),
inference(superposition,[status(thm)],[c_3421,c_3412]) ).
tcf(c_163898,plain,
v1_partfun1(np__0,np__0,np__0),
inference(superposition,[status(thm)],[c_2838,c_3981]) ).
tcf(c_163899,plain,
m2_relset_1(np__0,np__0,np__0),
inference(superposition,[status(thm)],[c_2838,c_3982]) ).
tcf(c_163900,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_163840,c_78840,c_163840]) ).
tcf(c_163907,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_163900,c_78786]) ).
tcf(c_163916,plain,
! [X0: $i] : v2_funct_1(sK53(X0)),
inference(superposition,[status(thm)],[c_118,c_7115]) ).
tcf(c_163917,plain,
v2_funct_1(sK89),
inference(superposition,[status(thm)],[c_433,c_7115]) ).
tcf(c_163919,plain,
v2_funct_1(sK91),
inference(superposition,[status(thm)],[c_441,c_7115]) ).
tcf(c_163920,plain,
v2_funct_1(sK93),
inference(superposition,[status(thm)],[c_448,c_7115]) ).
tcf(c_163921,plain,
! [X0: $i] : v2_funct_1(sK136(X0)),
inference(superposition,[status(thm)],[c_762,c_7115]) ).
tcf(c_163925,plain,
v2_funct_1(sK525),
inference(superposition,[status(thm)],[c_3300,c_7115]) ).
tcf(c_163942,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_122710,c_2077,c_123045]) ).
tcf(c_163944,plain,
~ iPr_def_14,
inference(global_subsumption_just,[status(thm)],[c_122716,c_2260,c_123047]) ).
tcf(c_163946,plain,
~ iPr_def_16,
inference(global_subsumption_just,[status(thm)],[c_122719,c_2189,c_2187,c_4473,c_4505,c_123048]) ).
tcf(c_163953,plain,
! [X0: $i] : r1_xboole_0(np__0,X0),
inference(superposition,[status(thm)],[c_544,c_163450]) ).
tcf(c_163964,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(k2_xboole_0(X0,X0),X1) = k2_zfmisc_1(X0,X1),
inference(superposition,[status(thm)],[c_545,c_503]) ).
tcf(c_163965,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(X0,X0),X1) = k4_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_545,c_526]) ).
tcf(c_163968,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_163868,c_78840,c_163868]) ).
tcf(c_163975,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_163968,c_78786]) ).
tcf(c_163981,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(np__0,k2_xboole_0(X0,X1)) = k2_xboole_0(np__0,k2_zfmisc_1(np__0,X1)),
inference(superposition,[status(thm)],[c_629,c_504]) ).
tcf(c_163982,plain,
! [X0: $i,X1: $i] : k2_xboole_0(np__0,k2_zfmisc_1(X0,X1)) = k2_zfmisc_1(k2_xboole_0(np__0,X0),X1),
inference(superposition,[status(thm)],[c_629,c_503]) ).
tcf(c_163983,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(np__0,k2_xboole_0(X0,X1)) = k2_xboole_0(k2_zfmisc_1(np__0,X0),np__0),
inference(superposition,[status(thm)],[c_629,c_504]) ).
tcf(c_163984,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_zfmisc_1(X0,X1),np__0) = k2_zfmisc_1(k2_xboole_0(X0,np__0),X1),
inference(superposition,[status(thm)],[c_629,c_503]) ).
tcf(c_163985,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(np__0,X0),k2_zfmisc_1(X1,X2)) = k2_xboole_0(k2_zfmisc_1(k4_xboole_0(np__0,X1),X0),np__0),
inference(superposition,[status(thm)],[c_629,c_501]) ).
tcf(c_163986,plain,
! [X0: $i,X1: $i] : k2_xboole_0(np__0,k2_zfmisc_1(X0,X1)) = k2_zfmisc_1(k2_xboole_0(X0,np__0),X1),
inference(theory_normalisation,[status(thm)],[c_163984,c_543,c_546,c_3131,c_3133]) ).
tcf(c_163987,plain,
! [X0: $i,X1: $i] : k2_xboole_0(np__0,k2_zfmisc_1(X0,X1)) = k2_zfmisc_1(X0,X1),
inference(light_normalisation,[status(thm)],[c_163986,c_544]) ).
tcf(c_163988,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(np__0,k2_xboole_0(X0,X1)) = k2_xboole_0(np__0,k2_zfmisc_1(np__0,X0)),
inference(theory_normalisation,[status(thm)],[c_163983,c_543,c_546,c_3131,c_3133]) ).
tcf(c_163989,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(np__0,k2_xboole_0(X0,X1)) = k2_xboole_0(np__0,np__0),
inference(light_normalisation,[status(thm)],[c_163988,c_629]) ).
tcf(c_163990,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(np__0,X0),k2_zfmisc_1(X1,X2)) = k2_xboole_0(np__0,k2_zfmisc_1(k4_xboole_0(np__0,X1),X0)),
inference(theory_normalisation,[status(thm)],[c_163985,c_543,c_546,c_3131,c_3133]) ).
tcf(c_163991,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(np__0,k2_zfmisc_1(k4_xboole_0(np__0,X0),X1)) = k4_xboole_0(np__0,k2_zfmisc_1(X0,X2)),
inference(light_normalisation,[status(thm)],[c_163990,c_629]) ).
tcf(c_163992,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(np__0,k2_zfmisc_1(X0,X1)) = k2_xboole_0(np__0,k2_zfmisc_1(np__0,X2)),
inference(light_normalisation,[status(thm)],[c_163991,c_1152]) ).
tcf(c_163999,plain,
! [X0: $i,X1: $i] : k2_xboole_0(np__0,k2_zfmisc_1(X0,X1)) = k2_zfmisc_1(X0,k2_xboole_0(np__0,X1)),
inference(superposition,[status(thm)],[c_630,c_504]) ).
tcf(c_164000,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(k2_xboole_0(X0,X1),np__0) = k2_xboole_0(np__0,k2_zfmisc_1(X1,np__0)),
inference(superposition,[status(thm)],[c_630,c_503]) ).
tcf(c_164001,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_zfmisc_1(X0,X1),np__0) = k2_zfmisc_1(X0,k2_xboole_0(X1,np__0)),
inference(superposition,[status(thm)],[c_630,c_504]) ).
tcf(c_164002,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(k2_xboole_0(X0,X1),np__0) = k2_xboole_0(k2_zfmisc_1(X0,np__0),np__0),
inference(superposition,[status(thm)],[c_630,c_503]) ).
tcf(c_164003,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(X0,np__0),k2_zfmisc_1(X1,X2)) = k2_xboole_0(np__0,k2_zfmisc_1(X0,k4_xboole_0(np__0,X2))),
inference(superposition,[status(thm)],[c_630,c_501]) ).
tcf(c_164004,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(k2_xboole_0(X0,X1),np__0) = k2_xboole_0(np__0,k2_zfmisc_1(X0,np__0)),
inference(theory_normalisation,[status(thm)],[c_164002,c_543,c_546,c_3131,c_3133]) ).
tcf(c_164005,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(k2_xboole_0(X0,X1),np__0) = k2_xboole_0(np__0,np__0),
inference(light_normalisation,[status(thm)],[c_164004,c_630]) ).
tcf(c_164006,plain,
! [X0: $i,X1: $i] : k2_xboole_0(np__0,k2_zfmisc_1(X0,X1)) = k2_zfmisc_1(X0,k2_xboole_0(X1,np__0)),
inference(theory_normalisation,[status(thm)],[c_164001,c_543,c_546,c_3131,c_3133]) ).
tcf(c_164007,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(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_164003,c_630]) ).
tcf(c_164049,plain,
! [X0: $i] :
( v2_funct_1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_872,c_7115]) ).
tcf(c_164050,plain,
! [X0: $i] :
( v1_realset1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_872,c_3026]) ).
tcf(c_164051,plain,
! [X0: $i] :
( v5_membered(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_872,c_2186]) ).
tcf(c_164052,plain,
! [X0: $i] :
( v4_membered(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_872,c_2185]) ).
tcf(c_164053,plain,
! [X0: $i] :
( v3_membered(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_872,c_2184]) ).
tcf(c_164054,plain,
! [X0: $i] :
( v2_membered(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_872,c_2183]) ).
tcf(c_164055,plain,
! [X0: $i] :
( v1_membered(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_872,c_2182]) ).
tcf(c_164056,plain,
! [X0: $i] :
( v1_finset_1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_872,c_816]) ).
tcf(c_164058,plain,
! [X0: $i] :
( v1_funct_1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_872,c_435]) ).
tcf(c_164096,plain,
! [X0: $i] :
( v2_funct_1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1006,c_7115]) ).
tcf(c_164097,plain,
! [X0: $i] :
( v1_realset1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1006,c_3026]) ).
tcf(c_164098,plain,
! [X0: $i] :
( v5_membered(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1006,c_2186]) ).
tcf(c_164099,plain,
! [X0: $i] :
( v4_membered(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1006,c_2185]) ).
tcf(c_164100,plain,
! [X0: $i] :
( v3_membered(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1006,c_2184]) ).
tcf(c_164101,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1006,c_2183]) ).
tcf(c_164102,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1006,c_2182]) ).
tcf(c_164103,plain,
! [X0: $i] :
( v1_finset_1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1006,c_816]) ).
tcf(c_164105,plain,
! [X0: $i] :
( v1_funct_1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1006,c_435]) ).
tcf(c_164143,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_163907,c_78840,c_163907]) ).
tcf(c_164150,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_164143,c_78786]) ).
tcf(c_164157,plain,
! [X0: $i,X1: $i] : k2_xboole_0(np__0,k4_xboole_0(X0,X1)) = k4_xboole_0(k2_xboole_0(np__0,X0),X1),
inference(superposition,[status(thm)],[c_1152,c_526]) ).
tcf(c_164158,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(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_1152,c_501]) ).
tcf(c_164159,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(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_1152,c_501]) ).
tcf(c_164160,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k4_xboole_0(X0,X1),np__0) = k4_xboole_0(k2_xboole_0(X0,np__0),X1),
inference(superposition,[status(thm)],[c_1152,c_526]) ).
tcf(c_164161,plain,
! [X0: $i,X1: $i] : k2_xboole_0(np__0,k4_xboole_0(X0,X1)) = k4_xboole_0(k2_xboole_0(X0,np__0),X1),
inference(theory_normalisation,[status(thm)],[c_164160,c_543,c_546,c_3131,c_3133]) ).
tcf(c_164162,plain,
! [X0: $i,X1: $i] : k2_xboole_0(np__0,k4_xboole_0(X0,X1)) = k4_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_164161,c_544]) ).
tcf(c_164163,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_zfmisc_1(X0,np__0),k2_zfmisc_1(k4_xboole_0(X0,X1),np__0)) = k4_xboole_0(k2_zfmisc_1(X0,np__0),k2_zfmisc_1(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_164159,c_543,c_546,c_3131,c_3133]) ).
tcf(c_164164,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(np__0,k2_zfmisc_1(k4_xboole_0(X0,X1),np__0)) = k4_xboole_0(np__0,k2_zfmisc_1(X1,X2)),
inference(light_normalisation,[status(thm)],[c_164163,c_630]) ).
tcf(c_164165,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(np__0,k2_zfmisc_1(np__0,k4_xboole_0(X0,X1))) = k4_xboole_0(np__0,k2_zfmisc_1(X2,X1)),
inference(light_normalisation,[status(thm)],[c_164158,c_629]) ).
tcf(c_164171,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k4_xboole_0(X1,np__0)) = k4_xboole_0(k2_xboole_0(X0,X1),np__0),
inference(superposition,[status(thm)],[c_1153,c_526]) ).
tcf(c_164172,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(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_1153,c_501]) ).
tcf(c_164173,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(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_1153,c_501]) ).
tcf(c_164174,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k4_xboole_0(X0,np__0),X1) = k4_xboole_0(k2_xboole_0(X0,X1),np__0),
inference(superposition,[status(thm)],[c_1153,c_526]) ).
tcf(c_164175,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(X0,X1),np__0) = k2_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_164174,c_1153]) ).
tcf(c_164176,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k4_xboole_0(X0,X2),X1)) = k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,np__0)),
inference(theory_normalisation,[status(thm)],[c_164173,c_543,c_546,c_3131,c_3133]) ).
tcf(c_164189,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k2_xboole_0(X0,X1))
| ~ v3_ordinal1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_49,c_1176]) ).
tcf(c_164194,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v3_ordinal1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1185,c_1176]) ).
tcf(c_164196,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_1185,c_3412]) ).
tcf(c_164197,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_1185,c_1184]) ).
tcf(c_164238,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_163975,c_78840,c_163975]) ).
tcf(c_164245,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_164238,c_78786]) ).
tcf(c_164282,plain,
! [X0: $i] :
( l2_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_1460,c_2589]) ).
tcf(c_164283,plain,
! [X0: $i] :
( l1_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_1460,c_2588]) ).
tcf(c_164322,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_164150,c_78840,c_164150]) ).
tcf(c_164329,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_164322,c_78786]) ).
tcf(c_164343,plain,
r2_hidden(np__0,k1_card_1(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_2055,c_2056]) ).
tcf(c_164348,plain,
! [X0: $i] : v1_funct_1(sK380(X0)),
inference(superposition,[status(thm)],[c_2326,c_2065]) ).
tcf(c_164355,plain,
! [X0: $i] : v1_finseq_1(sK380(X0)),
inference(superposition,[status(thm)],[c_2326,c_2066]) ).
tcf(c_164362,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_164245,c_78840,c_164245]) ).
tcf(c_164369,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_164362,c_78786]) ).
tcf(c_164425,plain,
( v1_relat_1(k1_numbers)
| v1_xreal_0(sK201(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1045,c_2361]) ).
tcf(c_164426,plain,
( v5_membered(k1_numbers)
| v1_xreal_0(sK255(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1269,c_2361]) ).
tcf(c_164428,plain,
( v4_membered(k1_numbers)
| v1_xreal_0(sK365(k1_numbers)) ),
inference(superposition,[status(thm)],[c_2114,c_2361]) ).
tcf(c_164430,plain,
( v3_ordinal1(k1_numbers)
| v1_xreal_0(sK377(k1_numbers)) ),
inference(superposition,[status(thm)],[c_2259,c_2361]) ).
tcf(c_164443,plain,
( v1_relat_1(k1_numbers)
| v1_xcmplx_0(sK201(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164425,c_1732]) ).
tcf(c_164450,plain,
( v5_membered(k1_numbers)
| v1_xcmplx_0(sK255(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164426,c_1732]) ).
tcf(c_164457,plain,
( v4_membered(k1_numbers)
| v1_xcmplx_0(sK365(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164428,c_1732]) ).
tcf(c_164464,plain,
( v3_ordinal1(k1_numbers)
| v1_xcmplx_0(sK377(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164430,c_1732]) ).
tcf(c_164467,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_164329,c_78840,c_164329]) ).
tcf(c_164474,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_164467,c_78786]) ).
tcf(c_164483,plain,
~ v1_xreal_0(sK373(k1_numbers)),
inference(superposition,[status(thm)],[c_2362,c_2250]) ).
tcf(c_164485,plain,
~ v1_xreal_0(sK546(k1_numbers)),
inference(superposition,[status(thm)],[c_2362,c_3522]) ).
tcf(c_164538,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_164369,c_78840,c_164369]) ).
tcf(c_164545,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_164538,c_78786]) ).
tcf(c_164554,plain,
r1_tarski(np__0,k2_zfmisc_1(np__0,np__0)),
inference(superposition,[status(thm)],[c_2838,c_2813]) ).
tcf(c_164555,plain,
r1_tarski(k6_partfun1(np__0),np__0),
inference(superposition,[status(thm)],[c_629,c_2813]) ).
tcf(c_164559,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2853,c_873]) ).
tcf(c_164560,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2853,c_872]) ).
tcf(c_164573,plain,
( v1_realset1(k1_numbers)
| v1_xreal_0(sK484(k1_numbers)) ),
inference(superposition,[status(thm)],[c_3010,c_2361]) ).
tcf(c_164580,plain,
( v1_realset1(k1_numbers)
| v1_xcmplx_0(sK484(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164573,c_1732]) ).
tcf(c_164592,plain,
( v1_realset1(k1_numbers)
| v1_xreal_0(sK485(k1_numbers)) ),
inference(superposition,[status(thm)],[c_3011,c_2361]) ).
tcf(c_164599,plain,
( v1_realset1(k1_numbers)
| v1_xcmplx_0(sK485(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164592,c_1732]) ).
tcf(c_164618,plain,
( v1_relat_1(k4_numbers)
| v1_int_1(sK201(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1045,c_3085]) ).
tcf(c_164619,plain,
( v5_membered(k4_numbers)
| v1_int_1(sK255(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1269,c_3085]) ).
tcf(c_164623,plain,
( v3_ordinal1(k4_numbers)
| v1_int_1(sK377(k4_numbers)) ),
inference(superposition,[status(thm)],[c_2259,c_3085]) ).
tcf(c_164624,plain,
( v1_realset1(k4_numbers)
| v1_int_1(sK484(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3010,c_3085]) ).
tcf(c_164625,plain,
( v1_realset1(k4_numbers)
| v1_int_1(sK485(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3011,c_3085]) ).
tcf(c_164640,plain,
( v1_relat_1(k4_numbers)
| v1_xreal_0(sK201(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164618,c_1725]) ).
tcf(c_164641,plain,
( v1_relat_1(k4_numbers)
| v1_xcmplx_0(sK201(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164618,c_1724]) ).
tcf(c_164650,plain,
( v5_membered(k4_numbers)
| v1_xreal_0(sK255(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164619,c_1725]) ).
tcf(c_164651,plain,
( v5_membered(k4_numbers)
| v1_xcmplx_0(sK255(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164619,c_1724]) ).
tcf(c_164660,plain,
( v3_ordinal1(k4_numbers)
| v1_xreal_0(sK377(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164623,c_1725]) ).
tcf(c_164661,plain,
( v3_ordinal1(k4_numbers)
| v1_xcmplx_0(sK377(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164623,c_1724]) ).
tcf(c_164666,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_164474,c_78840,c_164474]) ).
tcf(c_164673,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_164666,c_78786]) ).
tcf(c_164682,plain,
~ v1_int_1(sK373(k4_numbers)),
inference(superposition,[status(thm)],[c_3086,c_2250]) ).
tcf(c_164684,plain,
~ v1_int_1(sK546(k4_numbers)),
inference(superposition,[status(thm)],[c_3086,c_3522]) ).
tcf(c_164689,plain,
v1_int_1(sK43(k4_numbers)),
inference(superposition,[status(thm)],[c_58,c_3087]) ).
tcf(c_164690,plain,
v1_xreal_0(sK43(k4_numbers)),
inference(superposition,[status(thm)],[c_164689,c_1725]) ).
tcf(c_164691,plain,
v1_xcmplx_0(sK43(k4_numbers)),
inference(superposition,[status(thm)],[c_164689,c_1724]) ).
tcf(c_164697,plain,
( v1_realset1(k4_numbers)
| v1_xreal_0(sK484(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164624,c_1725]) ).
tcf(c_164698,plain,
( v1_realset1(k4_numbers)
| v1_xcmplx_0(sK484(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164624,c_1724]) ).
tcf(c_164707,plain,
( v1_realset1(k4_numbers)
| v1_xreal_0(sK485(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164625,c_1725]) ).
tcf(c_164708,plain,
( v1_realset1(k4_numbers)
| v1_xcmplx_0(sK485(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164625,c_1724]) ).
tcf(c_164736,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_164545,c_78840,c_164545]) ).
tcf(c_164743,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_164736,c_78786]) ).
tcf(c_164765,plain,
v1_finset_1(sK43(k5_numbers)),
inference(superposition,[status(thm)],[c_58,c_3334]) ).
tcf(c_164792,plain,
v1_card_1(sK43(k5_numbers)),
inference(superposition,[status(thm)],[c_58,c_3344]) ).
tcf(c_164797,plain,
v1_ordinal1(sK43(k5_numbers)),
inference(superposition,[status(thm)],[c_58,c_3345]) ).
tcf(c_164802,plain,
v3_ordinal1(sK43(k5_numbers)),
inference(superposition,[status(thm)],[c_58,c_3346]) ).
tcf(c_164803,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_164673,c_78840,c_164673]) ).
tcf(c_164810,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_164803,c_78786]) ).
tcf(c_164819,plain,
v4_ordinal2(sK43(k5_numbers)),
inference(superposition,[status(thm)],[c_58,c_3347]) ).
tcf(c_164824,plain,
v1_xcmplx_0(sK43(k5_numbers)),
inference(superposition,[status(thm)],[c_58,c_3348]) ).
tcf(c_164829,plain,
v1_xreal_0(sK43(k5_numbers)),
inference(superposition,[status(thm)],[c_58,c_3349]) ).
tcf(c_164834,plain,
v1_int_1(sK43(k5_numbers)),
inference(superposition,[status(thm)],[c_58,c_3351]) ).
tcf(c_164862,plain,
! [X0: $i] :
( v2_funct_1(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3936,c_7115]) ).
tcf(c_164863,plain,
! [X0: $i] :
( v1_realset1(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3936,c_3026]) ).
tcf(c_164864,plain,
! [X0: $i] :
( v5_membered(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3936,c_2186]) ).
tcf(c_164865,plain,
! [X0: $i] :
( v4_membered(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3936,c_2185]) ).
tcf(c_164866,plain,
! [X0: $i] :
( v3_membered(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3936,c_2184]) ).
tcf(c_164867,plain,
! [X0: $i] :
( v2_membered(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3936,c_2183]) ).
tcf(c_164868,plain,
! [X0: $i] :
( v1_membered(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3936,c_2182]) ).
tcf(c_164869,plain,
! [X0: $i] :
( v1_finset_1(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3936,c_816]) ).
tcf(c_164871,plain,
! [X0: $i] :
( v1_funct_1(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3936,c_435]) ).
tcf(c_164899,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_164743,c_78840,c_164743]) ).
tcf(c_164906,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_164899,c_78786]) ).
tcf(c_164916,plain,
r1_tarski(k1_zfmisc_1(np__0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_47208,c_769]) ).
tcf(c_164917,plain,
m1_subset_1(sK136(np__0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_47208,c_761]) ).
tcf(c_164920,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(X0,X1),X0) = k2_xboole_0(np__0,k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_47750,c_526]) ).
tcf(c_164921,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(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_47750,c_501]) ).
tcf(c_164922,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(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_47750,c_501]) ).
tcf(c_164923,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(X0,X1),X1) = k2_xboole_0(k4_xboole_0(X0,X1),np__0),
inference(superposition,[status(thm)],[c_47750,c_526]) ).
tcf(c_164924,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(X0,X1),X1) = k2_xboole_0(np__0,k4_xboole_0(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_164923,c_543,c_546,c_3131,c_3133]) ).
tcf(c_164926,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_zfmisc_1(X0,np__0),k2_zfmisc_1(k4_xboole_0(X0,X1),X2)) = k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_164922,c_543,c_546,c_3131,c_3133]) ).
tcf(c_164927,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1)) = k2_xboole_0(np__0,k2_zfmisc_1(k4_xboole_0(X0,X2),X1)),
inference(light_normalisation,[status(thm)],[c_164926,c_630]) ).
tcf(c_164928,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(np__0,k2_zfmisc_1(k4_xboole_0(X0,X1),X2)) = k2_zfmisc_1(k4_xboole_0(X0,X1),X2),
inference(light_normalisation,[status(thm)],[c_164927,c_1126]) ).
tcf(c_164929,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)) = k2_xboole_0(np__0,k2_zfmisc_1(X0,k4_xboole_0(X1,X2))),
inference(light_normalisation,[status(thm)],[c_164921,c_629]) ).
tcf(c_164930,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(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_164929,c_1127]) ).
tcf(c_164938,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK81(X0)))
| m1_subset_1(sK54(u1_struct_0(sK81(X0))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_119,c_78786]) ).
tcf(c_164947,plain,
~ iPr_def_12,
inference(superposition,[status(thm)],[c_58,c_122713]) ).
tcf(c_164948,plain,
iPr_def_13,
inference(backward_subsumption_resolution,[status(thm)],[c_122715,c_164947]) ).
tcf(c_164958,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2853,c_164049]) ).
tcf(c_164966,plain,
! [X0: $i] :
( v1_realset1(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2853,c_164050]) ).
tcf(c_164974,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2853,c_164051]) ).
tcf(c_164983,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2853,c_164052]) ).
tcf(c_164992,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2853,c_164053]) ).
tcf(c_165001,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2853,c_164054]) ).
tcf(c_165010,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2853,c_164055]) ).
tcf(c_165013,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_164810,c_78840,c_164810]) ).
tcf(c_165020,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_165013,c_78786]) ).
tcf(c_165029,plain,
! [X0: $i] :
( v1_relat_1(X0)
| m1_subset_1(sK201(X0),X0) ),
inference(superposition,[status(thm)],[c_1045,c_421]) ).
tcf(c_165030,plain,
! [X0: $i] :
( v5_membered(X0)
| m1_subset_1(sK255(X0),X0) ),
inference(superposition,[status(thm)],[c_1269,c_421]) ).
tcf(c_165031,plain,
! [X0: $i] :
( v1_membered(X0)
| m1_subset_1(sK313(X0),X0) ),
inference(superposition,[status(thm)],[c_1717,c_421]) ).
tcf(c_165032,plain,
! [X0: $i,X1: $i] : m1_subset_1(X0,k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_2045,c_421]) ).
tcf(c_165033,plain,
! [X0: $i,X1: $i] : m1_subset_1(X0,k2_tarski(X1,X0)),
inference(superposition,[status(thm)],[c_2046,c_421]) ).
tcf(c_165034,plain,
! [X0: $i] : m1_subset_1(k1_card_1(X0),k1_card_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_2056,c_421]) ).
tcf(c_165035,plain,
! [X0: $i] :
( v4_membered(X0)
| m1_subset_1(sK365(X0),X0) ),
inference(superposition,[status(thm)],[c_2114,c_421]) ).
tcf(c_165036,plain,
! [X0: $i] :
( v2_membered(X0)
| m1_subset_1(sK372(X0),X0) ),
inference(superposition,[status(thm)],[c_2248,c_421]) ).
tcf(c_165037,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| m1_subset_1(sK377(X0),X0) ),
inference(superposition,[status(thm)],[c_2259,c_421]) ).
tcf(c_165038,plain,
! [X0: $i] :
( m1_subset_1(X0,k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_2362,c_421]) ).
tcf(c_165039,plain,
! [X0: $i] :
( v1_realset1(X0)
| m1_subset_1(sK484(X0),X0) ),
inference(superposition,[status(thm)],[c_3010,c_421]) ).
tcf(c_165040,plain,
! [X0: $i] :
( v1_realset1(X0)
| m1_subset_1(sK485(X0),X0) ),
inference(superposition,[status(thm)],[c_3011,c_421]) ).
tcf(c_165041,plain,
! [X0: $i] :
( m1_subset_1(X0,k4_numbers)
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_3086,c_421]) ).
tcf(c_165042,plain,
m1_subset_1(np__0,k1_card_1(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_164343,c_421]) ).
tcf(c_165076,plain,
! [X0: $i] : ~ v1_xboole_0(k1_card_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_2056,c_426]) ).
tcf(c_165079,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_2259,c_426]) ).
tcf(c_165092,plain,
! [X0: $i] : sK53(X0) = np__0,
inference(superposition,[status(thm)],[c_118,c_446]) ).
tcf(c_165093,plain,
np__0 = sK89,
inference(superposition,[status(thm)],[c_433,c_446]) ).
tcf(c_165095,plain,
np__0 = sK91,
inference(superposition,[status(thm)],[c_441,c_446]) ).
tcf(c_165096,plain,
np__0 = sK93,
inference(superposition,[status(thm)],[c_448,c_446]) ).
tcf(c_165097,plain,
! [X0: $i] : sK136(X0) = np__0,
inference(superposition,[status(thm)],[c_762,c_446]) ).
tcf(c_165098,plain,
np__0 = sK139,
inference(superposition,[status(thm)],[c_784,c_446]) ).
tcf(c_165099,plain,
! [X0: $i] :
( ( k1_relat_1(X0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_872,c_446]) ).
tcf(c_165100,plain,
! [X0: $i] :
( ( k2_relat_1(X0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1006,c_446]) ).
tcf(c_165101,plain,
np__0 = sK318,
inference(superposition,[status(thm)],[c_1780,c_446]) ).
tcf(c_165102,plain,
np__0 = sK324,
inference(superposition,[status(thm)],[c_1811,c_446]) ).
tcf(c_165103,plain,
np__0 = sK525,
inference(superposition,[status(thm)],[c_3300,c_446]) ).
tcf(c_165104,plain,
! [X0: $i] :
( ( k4_relat_1(X0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3936,c_446]) ).
tcf(c_165175,plain,
! [X0: $i] : m1_subset_1(np__0,k5_finsub_1(X0)),
inference(demodulation,[status(thm)],[c_761,c_165097]) ).
tcf(c_165180,plain,
m1_subset_1(np__0,k1_zfmisc_1(np__0)),
inference(demodulation,[status(thm)],[c_164917,c_165097]) ).
tcf(c_165225,plain,
~ v3_xreal_0(np__0),
inference(demodulation,[status(thm)],[c_3304,c_165103]) ).
tcf(c_165226,plain,
~ v2_xreal_0(np__0),
inference(demodulation,[status(thm)],[c_3303,c_165103]) ).
tcf(c_165227,plain,
v1_xreal_0(np__0),
inference(demodulation,[status(thm)],[c_3302,c_165103]) ).
tcf(c_165228,plain,
v1_xcmplx_0(np__0),
inference(demodulation,[status(thm)],[c_3301,c_165103]) ).
tcf(c_165234,plain,
! [X0: $i] : r2_hidden(X0,k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_545,c_489]) ).
tcf(c_165235,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k2_xboole_0(X0,k2_tarski(X1,X1))),
inference(superposition,[status(thm)],[c_489,c_426]) ).
tcf(c_165236,plain,
! [X0: $i,X1: $i] : m1_subset_1(X0,k2_xboole_0(X1,k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_489,c_421]) ).
tcf(c_165240,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_164906,c_78840,c_164906]) ).
tcf(c_165247,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_165240,c_78786]) ).
tcf(c_165256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(k2_tarski(X3,X3))
| ~ v1_xboole_0(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_53,c_553]) ).
tcf(c_165257,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_501,c_553]) ).
tcf(c_165258,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X2))
| ~ v1_xboole_0(k2_zfmisc_1(X0,k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_504,c_553]) ).
tcf(c_165259,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ v1_xboole_0(k2_zfmisc_1(k2_xboole_0(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_503,c_553]) ).
tcf(c_165260,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k4_xboole_0(X1,X2))
| ~ v1_xboole_0(k4_xboole_0(k2_xboole_0(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_526,c_553]) ).
tcf(c_165269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ v1_xboole_0(k2_enumset1(X0,X1,X2,X3)),
inference(forward_subsumption_resolution,[status(thm)],[c_165256,c_1991]) ).
tcf(c_165282,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_501,c_554]) ).
tcf(c_165283,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_504,c_554]) ).
tcf(c_165284,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X2))
| ~ v1_xboole_0(k2_zfmisc_1(k2_xboole_0(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_503,c_554]) ).
tcf(c_165285,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k4_xboole_0(X0,X2))
| ~ v1_xboole_0(k4_xboole_0(k2_xboole_0(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_526,c_554]) ).
tcf(c_165310,plain,
! [X0: $i] :
( v3_ordinal1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_872,c_165079]) ).
tcf(c_165311,plain,
! [X0: $i] :
( v3_ordinal1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1006,c_165079]) ).
tcf(c_165312,plain,
! [X0: $i] :
( v3_ordinal1(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3936,c_165079]) ).
tcf(c_165327,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2853,c_164056]) ).
tcf(c_165335,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2853,c_164058]) ).
tcf(c_165357,plain,
! [X0: $i] :
( m1_subset_1(sK53(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_165020,c_78840,c_165020]) ).
tcf(c_165369,plain,
! [X0: $i,X1: $i] : r1_xboole_0(np__0,k4_xboole_0(k2_xboole_0(X0,X1),X0)),
inference(superposition,[status(thm)],[c_522,c_704]) ).
tcf(c_165370,plain,
! [X0: $i] : r1_xboole_0(X0,k4_xboole_0(np__0,X0)),
inference(superposition,[status(thm)],[c_1153,c_704]) ).
tcf(c_165372,plain,
! [X0: $i] : r1_xboole_0(np__0,k4_xboole_0(X0,np__0)),
inference(superposition,[status(thm)],[c_1152,c_704]) ).
tcf(c_165373,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(k2_xboole_0(X0,X1),X0),np__0),
inference(superposition,[status(thm)],[c_522,c_704]) ).
tcf(c_165374,plain,
! [X0: $i] : r1_xboole_0(k4_xboole_0(np__0,X0),X0),
inference(superposition,[status(thm)],[c_1153,c_704]) ).
tcf(c_165375,plain,
r1_xboole_0(np__0,np__0),
inference(superposition,[status(thm)],[c_47750,c_704]) ).
tcf(c_165376,plain,
! [X0: $i] : r1_xboole_0(k4_xboole_0(X0,np__0),np__0),
inference(superposition,[status(thm)],[c_1152,c_704]) ).
tcf(c_165386,plain,
! [X0: $i,X1: $i] : r1_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_707,c_727]) ).
tcf(c_165390,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k2_xboole_0(X0,X1),np__0),
inference(superposition,[status(thm)],[c_522,c_165386]) ).
tcf(c_165442,plain,
! [X0: $i] :
( l1_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_164282,c_2591]) ).
tcf(c_165461,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_165247,c_78840,c_165247]) ).
tcf(c_165468,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_165461,c_78786]) ).
tcf(c_165482,plain,
! [X0: $i] : v1_finset_1(sK43(k5_finsub_1(X0))),
inference(superposition,[status(thm)],[c_58,c_771]) ).
tcf(c_165485,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_47208,c_771]) ).
tcf(c_165497,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK81(X0)))
| m1_subset_1(sK141(u1_struct_0(sK81(X0))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_803,c_78786]) ).
tcf(c_165502,plain,
v1_finset_1(sK43(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_47208,c_165482]) ).
tcf(c_165557,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_165468,c_78840,c_165468]) ).
tcf(c_165564,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_165557,c_78786]) ).
tcf(c_165581,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK81(X0)))
| m1_subset_1(sK142(u1_struct_0(sK81(X0))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_811,c_78786]) ).
tcf(c_165599,plain,
~ v1_xboole_0(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_1112,c_1991]) ).
tcf(c_165600,plain,
v1_finset_1(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_1112,c_810]) ).
tcf(c_165601,plain,
k2_xboole_0(np__0,np__0) = k3_tarski(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_1112,c_49]) ).
tcf(c_165602,plain,
! [X0: $i] : r2_hidden(np__0,k2_xboole_0(X0,k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_1112,c_489]) ).
tcf(c_165604,plain,
v1_realset1(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_1112,c_3025]) ).
tcf(c_165605,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_enumset1(X0,X0,X1,X2),k1_zfmisc_1(np__0)) = k2_enumset1(X0,X1,X2,np__0),
inference(superposition,[status(thm)],[c_1112,c_53]) ).
tcf(c_165607,plain,
r2_hidden(np__0,k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_1112,c_2046]) ).
tcf(c_165608,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k1_zfmisc_1(np__0),k2_enumset1(X0,X0,X1,X2)) = k2_enumset1(X0,X1,X2,np__0),
inference(theory_normalisation,[status(thm)],[c_165605,c_543,c_546,c_3131,c_3133]) ).
tcf(c_165648,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| v1_finset_1(sK201(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_165029,c_771]) ).
tcf(c_165649,plain,
( v1_relat_1(k5_numbers)
| v1_int_1(sK201(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165029,c_3351]) ).
tcf(c_165650,plain,
( v1_relat_1(k5_numbers)
| v1_xreal_0(sK201(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165029,c_3349]) ).
tcf(c_165651,plain,
( v1_relat_1(k5_numbers)
| v1_xcmplx_0(sK201(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165029,c_3348]) ).
tcf(c_165652,plain,
( v1_relat_1(k5_numbers)
| v4_ordinal2(sK201(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165029,c_3347]) ).
tcf(c_165653,plain,
( v1_relat_1(k5_numbers)
| v3_ordinal1(sK201(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165029,c_3346]) ).
tcf(c_165654,plain,
( v1_relat_1(k5_numbers)
| v1_ordinal1(sK201(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165029,c_3345]) ).
tcf(c_165655,plain,
( v1_relat_1(k5_numbers)
| v1_card_1(sK201(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165029,c_3344]) ).
tcf(c_165656,plain,
( v1_relat_1(k5_numbers)
| v1_finset_1(sK201(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165029,c_3334]) ).
tcf(c_165658,plain,
! [X0: $i] :
( v1_relat_1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK201(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165029,c_78786]) ).
tcf(c_165693,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_165564,c_78840,c_165564]) ).
tcf(c_165700,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_165693,c_78786]) ).
tcf(c_165721,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1162,c_426]) ).
tcf(c_165722,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| m1_subset_1(sK231(X0),X0) ),
inference(superposition,[status(thm)],[c_1162,c_421]) ).
tcf(c_165723,plain,
v4_membered(k3_tarski(np__0)),
inference(superposition,[status(thm)],[c_1162,c_655]) ).
tcf(c_165724,plain,
( v1_xreal_0(sK231(k1_numbers))
| v4_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1162,c_2361]) ).
tcf(c_165725,plain,
( v1_int_1(sK231(k4_numbers))
| v4_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1162,c_3085]) ).
tcf(c_165771,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| v1_finset_1(sK255(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_165030,c_771]) ).
tcf(c_165772,plain,
( v5_membered(k5_numbers)
| v1_int_1(sK255(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165030,c_3351]) ).
tcf(c_165773,plain,
( v5_membered(k5_numbers)
| v1_xreal_0(sK255(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165030,c_3349]) ).
tcf(c_165774,plain,
( v5_membered(k5_numbers)
| v1_xcmplx_0(sK255(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165030,c_3348]) ).
tcf(c_165775,plain,
( v5_membered(k5_numbers)
| v4_ordinal2(sK255(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165030,c_3347]) ).
tcf(c_165776,plain,
( v5_membered(k5_numbers)
| v3_ordinal1(sK255(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165030,c_3346]) ).
tcf(c_165777,plain,
( v5_membered(k5_numbers)
| v1_ordinal1(sK255(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165030,c_3345]) ).
tcf(c_165778,plain,
( v5_membered(k5_numbers)
| v1_card_1(sK255(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165030,c_3344]) ).
tcf(c_165779,plain,
( v5_membered(k5_numbers)
| v1_finset_1(sK255(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165030,c_3334]) ).
tcf(c_165781,plain,
! [X0: $i] :
( v5_membered(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK255(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165030,c_78786]) ).
tcf(c_165822,plain,
v5_membered(k5_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_165775,c_1268]) ).
tcf(c_165823,plain,
v4_membered(k5_numbers),
inference(superposition,[status(thm)],[c_165822,c_2214]) ).
tcf(c_165824,plain,
v3_membered(k5_numbers),
inference(superposition,[status(thm)],[c_165823,c_2213]) ).
tcf(c_165825,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_165700,c_78840,c_165700]) ).
tcf(c_165832,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_165825,c_78786]) ).
tcf(c_165841,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1164,c_426]) ).
tcf(c_165842,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| m1_subset_1(sK232(X0),X0) ),
inference(superposition,[status(thm)],[c_1164,c_421]) ).
tcf(c_165843,plain,
v3_membered(k3_tarski(np__0)),
inference(superposition,[status(thm)],[c_1164,c_655]) ).
tcf(c_165844,plain,
( v1_xreal_0(sK232(k1_numbers))
| v3_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1164,c_2361]) ).
tcf(c_165845,plain,
( v1_int_1(sK232(k4_numbers))
| v3_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1164,c_3085]) ).
tcf(c_165865,plain,
! [X0: $i] :
( v2_membered(k3_tarski(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1166,c_426]) ).
tcf(c_165866,plain,
! [X0: $i] :
( v2_membered(k3_tarski(X0))
| m1_subset_1(sK233(X0),X0) ),
inference(superposition,[status(thm)],[c_1166,c_421]) ).
tcf(c_165867,plain,
v2_membered(k3_tarski(np__0)),
inference(superposition,[status(thm)],[c_1166,c_655]) ).
tcf(c_165868,plain,
( v1_xreal_0(sK233(k1_numbers))
| v2_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1166,c_2361]) ).
tcf(c_165869,plain,
( v1_int_1(sK233(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1166,c_3085]) ).
tcf(c_165885,plain,
v2_membered(k5_numbers),
inference(superposition,[status(thm)],[c_165824,c_2227]) ).
tcf(c_165886,plain,
v1_membered(k5_numbers),
inference(superposition,[status(thm)],[c_165885,c_1773]) ).
tcf(c_165891,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| v1_finset_1(sK313(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_165031,c_771]) ).
tcf(c_165901,plain,
! [X0: $i] :
( v1_membered(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK313(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165031,c_78786]) ).
tcf(c_165914,plain,
! [X0: $i] :
( v4_membered(k5_finsub_1(X0))
| v1_finset_1(sK365(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_165035,c_771]) ).
tcf(c_165924,plain,
! [X0: $i] :
( v4_membered(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK365(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165035,c_78786]) ).
tcf(c_165936,plain,
! [X0: $i] :
( v2_membered(k5_finsub_1(X0))
| v1_finset_1(sK372(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_165036,c_771]) ).
tcf(c_165946,plain,
! [X0: $i] :
( v2_membered(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK372(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165036,c_78786]) ).
tcf(c_165958,plain,
! [X0: $i] :
( v3_ordinal1(k5_finsub_1(X0))
| v1_finset_1(sK377(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_165037,c_771]) ).
tcf(c_165959,plain,
( v3_ordinal1(k5_numbers)
| v1_int_1(sK377(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165037,c_3351]) ).
tcf(c_165960,plain,
( v3_ordinal1(k5_numbers)
| v1_xreal_0(sK377(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165037,c_3349]) ).
tcf(c_165961,plain,
( v3_ordinal1(k5_numbers)
| v1_xcmplx_0(sK377(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165037,c_3348]) ).
tcf(c_165962,plain,
( v3_ordinal1(k5_numbers)
| v4_ordinal2(sK377(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165037,c_3347]) ).
tcf(c_165963,plain,
( v3_ordinal1(k5_numbers)
| v3_ordinal1(sK377(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165037,c_3346]) ).
tcf(c_165964,plain,
( v3_ordinal1(k5_numbers)
| v1_ordinal1(sK377(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165037,c_3345]) ).
tcf(c_165965,plain,
( v3_ordinal1(k5_numbers)
| v1_card_1(sK377(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165037,c_3344]) ).
tcf(c_165966,plain,
( v3_ordinal1(k5_numbers)
| v1_finset_1(sK377(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165037,c_3334]) ).
tcf(c_165968,plain,
! [X0: $i] :
( v3_ordinal1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK377(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165037,c_78786]) ).
tcf(c_165992,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_165832,c_78840,c_165832]) ).
tcf(c_165999,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_165992,c_78786]) ).
tcf(c_166008,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1168,c_426]) ).
tcf(c_166009,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| m1_subset_1(sK234(X0),X0) ),
inference(superposition,[status(thm)],[c_1168,c_421]) ).
tcf(c_166010,plain,
v1_membered(k3_tarski(np__0)),
inference(superposition,[status(thm)],[c_1168,c_655]) ).
tcf(c_166011,plain,
( v1_xreal_0(sK234(k1_numbers))
| v1_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1168,c_2361]) ).
tcf(c_166012,plain,
( v1_int_1(sK234(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1168,c_3085]) ).
tcf(c_166032,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1175,c_426]) ).
tcf(c_166033,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| m1_subset_1(sK236(X0),X0) ),
inference(superposition,[status(thm)],[c_1175,c_421]) ).
tcf(c_166034,plain,
v3_ordinal1(k3_tarski(np__0)),
inference(superposition,[status(thm)],[c_1175,c_655]) ).
tcf(c_166035,plain,
( v1_xreal_0(sK236(k1_numbers))
| v3_ordinal1(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1175,c_2361]) ).
tcf(c_166036,plain,
( v1_int_1(sK236(k4_numbers))
| v3_ordinal1(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1175,c_3085]) ).
tcf(c_166052,plain,
( v1_membered(k1_zfmisc_1(np__0))
| ~ v4_ordinal2(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_1281]) ).
tcf(c_166100,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| v1_finset_1(sK484(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_165039,c_771]) ).
tcf(c_166101,plain,
( v1_realset1(k5_numbers)
| v1_int_1(sK484(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165039,c_3351]) ).
tcf(c_166102,plain,
( v1_realset1(k5_numbers)
| v1_xreal_0(sK484(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165039,c_3349]) ).
tcf(c_166103,plain,
( v1_realset1(k5_numbers)
| v1_xcmplx_0(sK484(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165039,c_3348]) ).
tcf(c_166104,plain,
( v1_realset1(k5_numbers)
| v4_ordinal2(sK484(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165039,c_3347]) ).
tcf(c_166105,plain,
( v1_realset1(k5_numbers)
| v3_ordinal1(sK484(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165039,c_3346]) ).
tcf(c_166106,plain,
( v1_realset1(k5_numbers)
| v1_ordinal1(sK484(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165039,c_3345]) ).
tcf(c_166107,plain,
( v1_realset1(k5_numbers)
| v1_card_1(sK484(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165039,c_3344]) ).
tcf(c_166108,plain,
( v1_realset1(k5_numbers)
| v1_finset_1(sK484(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165039,c_3334]) ).
tcf(c_166110,plain,
! [X0: $i] :
( v1_realset1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK484(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165039,c_78786]) ).
tcf(c_166145,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_165999,c_78840,c_165999]) ).
tcf(c_166152,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_166145,c_78786]) ).
tcf(c_166161,plain,
( v2_membered(k1_zfmisc_1(np__0))
| ~ v4_ordinal2(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_1282]) ).
tcf(c_166169,plain,
( v3_membered(k1_zfmisc_1(np__0))
| ~ v4_ordinal2(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_1283]) ).
tcf(c_166177,plain,
( v4_membered(k1_zfmisc_1(np__0))
| ~ v4_ordinal2(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_1284]) ).
tcf(c_166185,plain,
( v5_membered(k1_zfmisc_1(np__0))
| ~ v4_ordinal2(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_1285]) ).
tcf(c_166219,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| v1_finset_1(sK485(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_165040,c_771]) ).
tcf(c_166220,plain,
( v1_realset1(k5_numbers)
| v1_int_1(sK485(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165040,c_3351]) ).
tcf(c_166221,plain,
( v1_realset1(k5_numbers)
| v1_xreal_0(sK485(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165040,c_3349]) ).
tcf(c_166222,plain,
( v1_realset1(k5_numbers)
| v1_xcmplx_0(sK485(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165040,c_3348]) ).
tcf(c_166223,plain,
( v1_realset1(k5_numbers)
| v4_ordinal2(sK485(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165040,c_3347]) ).
tcf(c_166224,plain,
( v1_realset1(k5_numbers)
| v3_ordinal1(sK485(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165040,c_3346]) ).
tcf(c_166225,plain,
( v1_realset1(k5_numbers)
| v1_ordinal1(sK485(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165040,c_3345]) ).
tcf(c_166226,plain,
( v1_realset1(k5_numbers)
| v1_card_1(sK485(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165040,c_3344]) ).
tcf(c_166227,plain,
( v1_realset1(k5_numbers)
| v1_finset_1(sK485(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165040,c_3334]) ).
tcf(c_166229,plain,
! [X0: $i] :
( v1_realset1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK485(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165040,c_78786]) ).
tcf(c_166278,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_166152,c_78840,c_166152]) ).
tcf(c_166285,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_166278,c_78786]) ).
tcf(c_166329,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2853,c_165310]) ).
tcf(c_166358,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(X0,k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_165602,c_426]) ).
tcf(c_166359,plain,
! [X0: $i] : m1_subset_1(np__0,k2_xboole_0(X0,k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_165602,c_421]) ).
tcf(c_166370,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_166285,c_78840,c_166285]) ).
tcf(c_166377,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_166370,c_78786]) ).
tcf(c_166394,plain,
( v1_membered(k1_zfmisc_1(np__0))
| ~ v1_xcmplx_0(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_1720]) ).
tcf(c_166395,plain,
v1_membered(k1_zfmisc_1(np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_166394,c_165228]) ).
tcf(c_166401,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_1153,c_1734]) ).
tcf(c_166423,plain,
( v1_xreal_0(sK231(k1_numbers))
| v3_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_165724,c_2213]) ).
tcf(c_166430,plain,
( v1_int_1(sK231(k4_numbers))
| v3_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_165725,c_2213]) ).
tcf(c_166446,plain,
( v1_xreal_0(sK232(k1_numbers))
| v1_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_165844,c_166401]) ).
tcf(c_166447,plain,
( v1_xreal_0(sK232(k1_numbers))
| v2_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_165844,c_2227]) ).
tcf(c_166456,plain,
( v1_int_1(sK232(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_165845,c_166401]) ).
tcf(c_166457,plain,
( v1_int_1(sK232(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_165845,c_2227]) ).
tcf(c_166474,plain,
( v1_xreal_0(sK233(k1_numbers))
| v1_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_165868,c_1773]) ).
tcf(c_166481,plain,
( v1_xreal_0(sK233(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_165869,c_1725]) ).
tcf(c_166482,plain,
( v2_membered(k3_tarski(k4_numbers))
| v1_xcmplx_0(sK233(k4_numbers)) ),
inference(superposition,[status(thm)],[c_165869,c_1724]) ).
tcf(c_166498,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_166377,c_78840,c_166377]) ).
tcf(c_166505,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_166498,c_78786]) ).
tcf(c_166550,plain,
( v1_xreal_0(sK234(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_166012,c_1725]) ).
tcf(c_166551,plain,
( v1_xcmplx_0(sK234(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_166012,c_1724]) ).
tcf(c_166601,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_166505,c_78840,c_166505]) ).
tcf(c_166608,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_166601,c_78786]) ).
tcf(c_166630,plain,
( v2_membered(k1_zfmisc_1(np__0))
| ~ v1_xreal_0(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_1767]) ).
tcf(c_166632,plain,
v2_membered(k1_zfmisc_1(np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_166630,c_165227]) ).
tcf(c_166637,plain,
v1_membered(sK43(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_58,c_1771]) ).
tcf(c_166639,plain,
( v1_xboole_0(k1_numbers)
| v1_membered(sK54(k1_numbers)) ),
inference(superposition,[status(thm)],[c_119,c_1771]) ).
tcf(c_166640,plain,
( v1_xboole_0(k1_numbers)
| v1_membered(sK141(k1_numbers)) ),
inference(superposition,[status(thm)],[c_803,c_1771]) ).
tcf(c_166641,plain,
( v1_xboole_0(k1_numbers)
| v1_membered(sK142(k1_numbers)) ),
inference(superposition,[status(thm)],[c_811,c_1771]) ).
tcf(c_166643,plain,
( v1_relat_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK201(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165029,c_1771]) ).
tcf(c_166644,plain,
( v5_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK255(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165030,c_1771]) ).
tcf(c_166645,plain,
( v1_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK313(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165031,c_1771]) ).
tcf(c_166646,plain,
( v4_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK365(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165035,c_1771]) ).
tcf(c_166647,plain,
( v2_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK372(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165036,c_1771]) ).
tcf(c_166648,plain,
( v3_ordinal1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK377(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165037,c_1771]) ).
tcf(c_166649,plain,
( v1_realset1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK484(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165039,c_1771]) ).
tcf(c_166650,plain,
( v1_realset1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK485(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165040,c_1771]) ).
tcf(c_166651,plain,
v1_membered(sK142(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_166641,c_2048]) ).
tcf(c_166652,plain,
v1_membered(sK141(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_166640,c_2048]) ).
tcf(c_166653,plain,
v1_membered(sK54(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_166639,c_2048]) ).
tcf(c_166675,plain,
( v1_xreal_0(sK231(k1_numbers))
| v1_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_166423,c_166401]) ).
tcf(c_166676,plain,
( v1_xreal_0(sK231(k1_numbers))
| v2_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_166423,c_2227]) ).
tcf(c_166685,plain,
( v1_int_1(sK231(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_166430,c_166401]) ).
tcf(c_166686,plain,
( v1_int_1(sK231(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_166430,c_2227]) ).
tcf(c_166704,plain,
( v1_xreal_0(sK232(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_166456,c_1725]) ).
tcf(c_166705,plain,
( v1_xcmplx_0(sK232(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_166456,c_1724]) ).
tcf(c_166714,plain,
( v1_xreal_0(sK232(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_166457,c_1725]) ).
tcf(c_166715,plain,
( v2_membered(k3_tarski(k4_numbers))
| v1_xcmplx_0(sK232(k4_numbers)) ),
inference(superposition,[status(thm)],[c_166457,c_1724]) ).
tcf(c_166724,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_166608,c_78840,c_166608]) ).
tcf(c_166731,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_166724,c_78786]) ).
tcf(c_166740,plain,
v2_membered(sK43(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_58,c_1772]) ).
tcf(c_166742,plain,
( v1_xboole_0(k1_numbers)
| v2_membered(sK54(k1_numbers)) ),
inference(superposition,[status(thm)],[c_119,c_1772]) ).
tcf(c_166743,plain,
( v1_xboole_0(k1_numbers)
| v2_membered(sK141(k1_numbers)) ),
inference(superposition,[status(thm)],[c_803,c_1772]) ).
tcf(c_166744,plain,
( v1_xboole_0(k1_numbers)
| v2_membered(sK142(k1_numbers)) ),
inference(superposition,[status(thm)],[c_811,c_1772]) ).
tcf(c_166746,plain,
( v1_relat_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK201(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165029,c_1772]) ).
tcf(c_166747,plain,
( v5_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK255(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165030,c_1772]) ).
tcf(c_166748,plain,
( v1_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK313(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165031,c_1772]) ).
tcf(c_166749,plain,
( v4_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK365(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165035,c_1772]) ).
tcf(c_166750,plain,
( v2_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK372(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165036,c_1772]) ).
tcf(c_166751,plain,
( v3_ordinal1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK377(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165037,c_1772]) ).
tcf(c_166752,plain,
( v1_realset1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK484(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165039,c_1772]) ).
tcf(c_166753,plain,
( v1_realset1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK485(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165040,c_1772]) ).
tcf(c_166754,plain,
v2_membered(sK142(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_166744,c_2048]) ).
tcf(c_166755,plain,
v2_membered(sK141(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_166743,c_2048]) ).
tcf(c_166756,plain,
v2_membered(sK54(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_166742,c_2048]) ).
tcf(c_166778,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(np__0),k2_tarski(X0,np__0)),
inference(superposition,[status(thm)],[c_1112,c_2020]) ).
tcf(c_166781,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(np__0),k2_tarski(np__0,X0)),
inference(superposition,[status(thm)],[c_1112,c_2037]) ).
tcf(c_166791,plain,
( v1_xreal_0(sK233(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_166481,c_1773]) ).
tcf(c_166819,plain,
( v1_xreal_0(sK231(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_166685,c_1725]) ).
tcf(c_166820,plain,
( v1_xcmplx_0(sK231(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_166685,c_1724]) ).
tcf(c_166829,plain,
( v1_xreal_0(sK231(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_166686,c_1725]) ).
tcf(c_166830,plain,
( v2_membered(k3_tarski(k4_numbers))
| v1_xcmplx_0(sK231(k4_numbers)) ),
inference(superposition,[status(thm)],[c_166686,c_1724]) ).
tcf(c_166835,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_166731,c_78840,c_166731]) ).
tcf(c_166842,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_166835,c_78786]) ).
tcf(c_166852,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1153,c_2125]) ).
tcf(c_166862,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1153,c_2126]) ).
tcf(c_166873,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1153,c_2127]) ).
tcf(c_166956,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_166842,c_78840,c_166842]) ).
tcf(c_166963,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_166956,c_78786]) ).
tcf(c_166985,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1153,c_2130]) ).
tcf(c_166995,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1153,c_2131]) ).
tcf(c_167080,plain,
( v3_membered(k1_zfmisc_1(np__0))
| ~ v1_int_1(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_2180]) ).
tcf(c_167095,plain,
( v4_membered(k1_zfmisc_1(np__0))
| ~ v1_int_1(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_2181]) ).
tcf(c_167112,plain,
v1_membered(sK43(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_58,c_2198]) ).
tcf(c_167114,plain,
( v1_xboole_0(k5_numbers)
| v1_membered(sK54(k5_numbers)) ),
inference(superposition,[status(thm)],[c_119,c_2198]) ).
tcf(c_167115,plain,
( v1_xboole_0(k5_numbers)
| v1_membered(sK141(k5_numbers)) ),
inference(superposition,[status(thm)],[c_803,c_2198]) ).
tcf(c_167116,plain,
( v1_xboole_0(k5_numbers)
| v1_membered(sK142(k5_numbers)) ),
inference(superposition,[status(thm)],[c_811,c_2198]) ).
tcf(c_167117,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK201(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165029,c_2198]) ).
tcf(c_167118,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v1_membered(sK255(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165030,c_2198]) ).
tcf(c_167119,plain,
( v1_membered(k1_zfmisc_1(k5_numbers))
| v1_membered(sK313(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165031,c_2198]) ).
tcf(c_167120,plain,
( v4_membered(k1_zfmisc_1(k5_numbers))
| v1_membered(sK365(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165035,c_2198]) ).
tcf(c_167121,plain,
( v2_membered(k1_zfmisc_1(k5_numbers))
| v1_membered(sK372(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165036,c_2198]) ).
tcf(c_167122,plain,
( v3_ordinal1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK377(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165037,c_2198]) ).
tcf(c_167123,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK484(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165039,c_2198]) ).
tcf(c_167124,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK485(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165040,c_2198]) ).
tcf(c_167147,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_166963,c_78840,c_166963]) ).
tcf(c_167154,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_167147,c_78786]) ).
tcf(c_167163,plain,
v2_membered(sK43(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_58,c_2199]) ).
tcf(c_167165,plain,
( v1_xboole_0(k5_numbers)
| v2_membered(sK54(k5_numbers)) ),
inference(superposition,[status(thm)],[c_119,c_2199]) ).
tcf(c_167166,plain,
( v1_xboole_0(k5_numbers)
| v2_membered(sK141(k5_numbers)) ),
inference(superposition,[status(thm)],[c_803,c_2199]) ).
tcf(c_167167,plain,
( v1_xboole_0(k5_numbers)
| v2_membered(sK142(k5_numbers)) ),
inference(superposition,[status(thm)],[c_811,c_2199]) ).
tcf(c_167168,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK201(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165029,c_2199]) ).
tcf(c_167169,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v2_membered(sK255(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165030,c_2199]) ).
tcf(c_167170,plain,
( v1_membered(k1_zfmisc_1(k5_numbers))
| v2_membered(sK313(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165031,c_2199]) ).
tcf(c_167171,plain,
( v4_membered(k1_zfmisc_1(k5_numbers))
| v2_membered(sK365(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165035,c_2199]) ).
tcf(c_167172,plain,
( v2_membered(k1_zfmisc_1(k5_numbers))
| v2_membered(sK372(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165036,c_2199]) ).
tcf(c_167173,plain,
( v3_ordinal1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK377(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165037,c_2199]) ).
tcf(c_167174,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK484(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165039,c_2199]) ).
tcf(c_167175,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK485(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165040,c_2199]) ).
tcf(c_167202,plain,
v3_membered(sK43(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_58,c_2200]) ).
tcf(c_167204,plain,
( v1_xboole_0(k5_numbers)
| v3_membered(sK54(k5_numbers)) ),
inference(superposition,[status(thm)],[c_119,c_2200]) ).
tcf(c_167205,plain,
( v1_xboole_0(k5_numbers)
| v3_membered(sK141(k5_numbers)) ),
inference(superposition,[status(thm)],[c_803,c_2200]) ).
tcf(c_167206,plain,
( v1_xboole_0(k5_numbers)
| v3_membered(sK142(k5_numbers)) ),
inference(superposition,[status(thm)],[c_811,c_2200]) ).
tcf(c_167207,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK201(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165029,c_2200]) ).
tcf(c_167208,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v3_membered(sK255(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165030,c_2200]) ).
tcf(c_167209,plain,
( v1_membered(k1_zfmisc_1(k5_numbers))
| v3_membered(sK313(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165031,c_2200]) ).
tcf(c_167210,plain,
( v4_membered(k1_zfmisc_1(k5_numbers))
| v3_membered(sK365(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165035,c_2200]) ).
tcf(c_167211,plain,
( v2_membered(k1_zfmisc_1(k5_numbers))
| v3_membered(sK372(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165036,c_2200]) ).
tcf(c_167212,plain,
( v3_ordinal1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK377(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165037,c_2200]) ).
tcf(c_167213,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK484(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165039,c_2200]) ).
tcf(c_167214,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK485(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165040,c_2200]) ).
tcf(c_167241,plain,
v4_membered(sK43(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_58,c_2201]) ).
tcf(c_167243,plain,
( v1_xboole_0(k5_numbers)
| v4_membered(sK54(k5_numbers)) ),
inference(superposition,[status(thm)],[c_119,c_2201]) ).
tcf(c_167244,plain,
( v1_xboole_0(k5_numbers)
| v4_membered(sK141(k5_numbers)) ),
inference(superposition,[status(thm)],[c_803,c_2201]) ).
tcf(c_167245,plain,
( v1_xboole_0(k5_numbers)
| v4_membered(sK142(k5_numbers)) ),
inference(superposition,[status(thm)],[c_811,c_2201]) ).
tcf(c_167246,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK201(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165029,c_2201]) ).
tcf(c_167247,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v4_membered(sK255(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165030,c_2201]) ).
tcf(c_167248,plain,
( v1_membered(k1_zfmisc_1(k5_numbers))
| v4_membered(sK313(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165031,c_2201]) ).
tcf(c_167249,plain,
( v4_membered(k1_zfmisc_1(k5_numbers))
| v4_membered(sK365(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165035,c_2201]) ).
tcf(c_167250,plain,
( v2_membered(k1_zfmisc_1(k5_numbers))
| v4_membered(sK372(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165036,c_2201]) ).
tcf(c_167251,plain,
( v3_ordinal1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK377(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165037,c_2201]) ).
tcf(c_167252,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK484(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165039,c_2201]) ).
tcf(c_167253,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK485(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165040,c_2201]) ).
tcf(c_167280,plain,
v5_membered(sK43(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_58,c_2202]) ).
tcf(c_167282,plain,
( v1_xboole_0(k5_numbers)
| v5_membered(sK54(k5_numbers)) ),
inference(superposition,[status(thm)],[c_119,c_2202]) ).
tcf(c_167283,plain,
( v1_xboole_0(k5_numbers)
| v5_membered(sK141(k5_numbers)) ),
inference(superposition,[status(thm)],[c_803,c_2202]) ).
tcf(c_167284,plain,
( v1_xboole_0(k5_numbers)
| v5_membered(sK142(k5_numbers)) ),
inference(superposition,[status(thm)],[c_811,c_2202]) ).
tcf(c_167285,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK201(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165029,c_2202]) ).
tcf(c_167286,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v5_membered(sK255(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165030,c_2202]) ).
tcf(c_167287,plain,
( v1_membered(k1_zfmisc_1(k5_numbers))
| v5_membered(sK313(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165031,c_2202]) ).
tcf(c_167288,plain,
( v4_membered(k1_zfmisc_1(k5_numbers))
| v5_membered(sK365(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165035,c_2202]) ).
tcf(c_167289,plain,
( v2_membered(k1_zfmisc_1(k5_numbers))
| v5_membered(sK372(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165036,c_2202]) ).
tcf(c_167290,plain,
( v3_ordinal1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK377(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165037,c_2202]) ).
tcf(c_167291,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK484(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165039,c_2202]) ).
tcf(c_167292,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK485(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165040,c_2202]) ).
tcf(c_167358,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_167154,c_78840,c_167154]) ).
tcf(c_167365,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_167358,c_78786]) ).
tcf(c_167374,plain,
v1_membered(sK43(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_58,c_2203]) ).
tcf(c_167376,plain,
( v1_xboole_0(k4_numbers)
| v1_membered(sK54(k4_numbers)) ),
inference(superposition,[status(thm)],[c_119,c_2203]) ).
tcf(c_167377,plain,
( v1_xboole_0(k4_numbers)
| v1_membered(sK141(k4_numbers)) ),
inference(superposition,[status(thm)],[c_803,c_2203]) ).
tcf(c_167378,plain,
( v1_xboole_0(k4_numbers)
| v1_membered(sK142(k4_numbers)) ),
inference(superposition,[status(thm)],[c_811,c_2203]) ).
tcf(c_167379,plain,
( v1_relat_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK201(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165029,c_2203]) ).
tcf(c_167380,plain,
( v5_membered(k1_zfmisc_1(k4_numbers))
| v1_membered(sK255(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165030,c_2203]) ).
tcf(c_167381,plain,
( v1_membered(k1_zfmisc_1(k4_numbers))
| v1_membered(sK313(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165031,c_2203]) ).
tcf(c_167382,plain,
( v4_membered(k1_zfmisc_1(k4_numbers))
| v1_membered(sK365(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165035,c_2203]) ).
tcf(c_167383,plain,
( v2_membered(k1_zfmisc_1(k4_numbers))
| v1_membered(sK372(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165036,c_2203]) ).
tcf(c_167384,plain,
( v3_ordinal1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK377(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165037,c_2203]) ).
tcf(c_167385,plain,
( v1_realset1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK484(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165039,c_2203]) ).
tcf(c_167386,plain,
( v1_realset1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK485(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165040,c_2203]) ).
tcf(c_167387,plain,
v1_membered(sK142(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167378,c_3094]) ).
tcf(c_167388,plain,
v1_membered(sK141(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167377,c_3094]) ).
tcf(c_167389,plain,
v1_membered(sK54(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167376,c_3094]) ).
tcf(c_167410,plain,
v2_membered(sK43(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_58,c_2204]) ).
tcf(c_167412,plain,
( v1_xboole_0(k4_numbers)
| v2_membered(sK54(k4_numbers)) ),
inference(superposition,[status(thm)],[c_119,c_2204]) ).
tcf(c_167413,plain,
( v1_xboole_0(k4_numbers)
| v2_membered(sK141(k4_numbers)) ),
inference(superposition,[status(thm)],[c_803,c_2204]) ).
tcf(c_167414,plain,
( v1_xboole_0(k4_numbers)
| v2_membered(sK142(k4_numbers)) ),
inference(superposition,[status(thm)],[c_811,c_2204]) ).
tcf(c_167415,plain,
( v1_relat_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK201(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165029,c_2204]) ).
tcf(c_167416,plain,
( v5_membered(k1_zfmisc_1(k4_numbers))
| v2_membered(sK255(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165030,c_2204]) ).
tcf(c_167417,plain,
( v1_membered(k1_zfmisc_1(k4_numbers))
| v2_membered(sK313(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165031,c_2204]) ).
tcf(c_167418,plain,
( v4_membered(k1_zfmisc_1(k4_numbers))
| v2_membered(sK365(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165035,c_2204]) ).
tcf(c_167419,plain,
( v2_membered(k1_zfmisc_1(k4_numbers))
| v2_membered(sK372(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165036,c_2204]) ).
tcf(c_167420,plain,
( v3_ordinal1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK377(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165037,c_2204]) ).
tcf(c_167421,plain,
( v1_realset1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK484(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165039,c_2204]) ).
tcf(c_167422,plain,
( v1_realset1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK485(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165040,c_2204]) ).
tcf(c_167423,plain,
v2_membered(sK142(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167414,c_3094]) ).
tcf(c_167424,plain,
v2_membered(sK141(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167413,c_3094]) ).
tcf(c_167425,plain,
v2_membered(sK54(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167412,c_3094]) ).
tcf(c_167446,plain,
v3_membered(sK43(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_58,c_2205]) ).
tcf(c_167448,plain,
( v1_xboole_0(k4_numbers)
| v3_membered(sK54(k4_numbers)) ),
inference(superposition,[status(thm)],[c_119,c_2205]) ).
tcf(c_167449,plain,
( v1_xboole_0(k4_numbers)
| v3_membered(sK141(k4_numbers)) ),
inference(superposition,[status(thm)],[c_803,c_2205]) ).
tcf(c_167450,plain,
( v1_xboole_0(k4_numbers)
| v3_membered(sK142(k4_numbers)) ),
inference(superposition,[status(thm)],[c_811,c_2205]) ).
tcf(c_167451,plain,
( v1_relat_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK201(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165029,c_2205]) ).
tcf(c_167452,plain,
( v5_membered(k1_zfmisc_1(k4_numbers))
| v3_membered(sK255(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165030,c_2205]) ).
tcf(c_167453,plain,
( v1_membered(k1_zfmisc_1(k4_numbers))
| v3_membered(sK313(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165031,c_2205]) ).
tcf(c_167454,plain,
( v4_membered(k1_zfmisc_1(k4_numbers))
| v3_membered(sK365(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165035,c_2205]) ).
tcf(c_167455,plain,
( v2_membered(k1_zfmisc_1(k4_numbers))
| v3_membered(sK372(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165036,c_2205]) ).
tcf(c_167456,plain,
( v3_ordinal1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK377(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165037,c_2205]) ).
tcf(c_167457,plain,
( v1_realset1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK484(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165039,c_2205]) ).
tcf(c_167458,plain,
( v1_realset1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK485(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165040,c_2205]) ).
tcf(c_167459,plain,
v3_membered(sK142(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167450,c_3094]) ).
tcf(c_167460,plain,
v3_membered(sK141(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167449,c_3094]) ).
tcf(c_167461,plain,
v3_membered(sK54(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167448,c_3094]) ).
tcf(c_167482,plain,
v4_membered(sK43(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_58,c_2206]) ).
tcf(c_167484,plain,
( v1_xboole_0(k4_numbers)
| v4_membered(sK54(k4_numbers)) ),
inference(superposition,[status(thm)],[c_119,c_2206]) ).
tcf(c_167485,plain,
( v1_xboole_0(k4_numbers)
| v4_membered(sK141(k4_numbers)) ),
inference(superposition,[status(thm)],[c_803,c_2206]) ).
tcf(c_167486,plain,
( v1_xboole_0(k4_numbers)
| v4_membered(sK142(k4_numbers)) ),
inference(superposition,[status(thm)],[c_811,c_2206]) ).
tcf(c_167487,plain,
( v1_relat_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK201(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165029,c_2206]) ).
tcf(c_167488,plain,
( v5_membered(k1_zfmisc_1(k4_numbers))
| v4_membered(sK255(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165030,c_2206]) ).
tcf(c_167489,plain,
( v1_membered(k1_zfmisc_1(k4_numbers))
| v4_membered(sK313(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165031,c_2206]) ).
tcf(c_167490,plain,
( v4_membered(k1_zfmisc_1(k4_numbers))
| v4_membered(sK365(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165035,c_2206]) ).
tcf(c_167491,plain,
( v2_membered(k1_zfmisc_1(k4_numbers))
| v4_membered(sK372(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165036,c_2206]) ).
tcf(c_167492,plain,
( v3_ordinal1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK377(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165037,c_2206]) ).
tcf(c_167493,plain,
( v1_realset1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK484(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165039,c_2206]) ).
tcf(c_167494,plain,
( v1_realset1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK485(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165040,c_2206]) ).
tcf(c_167495,plain,
v4_membered(sK142(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167486,c_3094]) ).
tcf(c_167496,plain,
v4_membered(sK141(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167485,c_3094]) ).
tcf(c_167497,plain,
v4_membered(sK54(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167484,c_3094]) ).
tcf(c_167532,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_167365,c_78840,c_167365]) ).
tcf(c_167539,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_167532,c_78786]) ).
tcf(c_167548,plain,
v1_membered(sK43(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_58,c_2224]) ).
tcf(c_167550,plain,
( v1_xboole_0(k3_numbers)
| v1_membered(sK54(k3_numbers)) ),
inference(superposition,[status(thm)],[c_119,c_2224]) ).
tcf(c_167551,plain,
( v1_xboole_0(k3_numbers)
| v1_membered(sK141(k3_numbers)) ),
inference(superposition,[status(thm)],[c_803,c_2224]) ).
tcf(c_167552,plain,
( v1_xboole_0(k3_numbers)
| v1_membered(sK142(k3_numbers)) ),
inference(superposition,[status(thm)],[c_811,c_2224]) ).
tcf(c_167553,plain,
( v1_relat_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK201(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165029,c_2224]) ).
tcf(c_167554,plain,
( v5_membered(k1_zfmisc_1(k3_numbers))
| v1_membered(sK255(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165030,c_2224]) ).
tcf(c_167555,plain,
( v1_membered(k1_zfmisc_1(k3_numbers))
| v1_membered(sK313(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165031,c_2224]) ).
tcf(c_167556,plain,
( v4_membered(k1_zfmisc_1(k3_numbers))
| v1_membered(sK365(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165035,c_2224]) ).
tcf(c_167557,plain,
( v2_membered(k1_zfmisc_1(k3_numbers))
| v1_membered(sK372(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165036,c_2224]) ).
tcf(c_167558,plain,
( v3_ordinal1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK377(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165037,c_2224]) ).
tcf(c_167559,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK484(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165039,c_2224]) ).
tcf(c_167560,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK485(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165040,c_2224]) ).
tcf(c_167561,plain,
v1_membered(sK142(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167552,c_3147]) ).
tcf(c_167562,plain,
v1_membered(sK141(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167551,c_3147]) ).
tcf(c_167563,plain,
v1_membered(sK54(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167550,c_3147]) ).
tcf(c_167584,plain,
v2_membered(sK43(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_58,c_2225]) ).
tcf(c_167586,plain,
( v1_xboole_0(k3_numbers)
| v2_membered(sK54(k3_numbers)) ),
inference(superposition,[status(thm)],[c_119,c_2225]) ).
tcf(c_167587,plain,
( v1_xboole_0(k3_numbers)
| v2_membered(sK141(k3_numbers)) ),
inference(superposition,[status(thm)],[c_803,c_2225]) ).
tcf(c_167588,plain,
( v1_xboole_0(k3_numbers)
| v2_membered(sK142(k3_numbers)) ),
inference(superposition,[status(thm)],[c_811,c_2225]) ).
tcf(c_167589,plain,
( v1_relat_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK201(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165029,c_2225]) ).
tcf(c_167590,plain,
( v5_membered(k1_zfmisc_1(k3_numbers))
| v2_membered(sK255(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165030,c_2225]) ).
tcf(c_167591,plain,
( v1_membered(k1_zfmisc_1(k3_numbers))
| v2_membered(sK313(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165031,c_2225]) ).
tcf(c_167592,plain,
( v4_membered(k1_zfmisc_1(k3_numbers))
| v2_membered(sK365(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165035,c_2225]) ).
tcf(c_167593,plain,
( v2_membered(k1_zfmisc_1(k3_numbers))
| v2_membered(sK372(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165036,c_2225]) ).
tcf(c_167594,plain,
( v3_ordinal1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK377(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165037,c_2225]) ).
tcf(c_167595,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK484(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165039,c_2225]) ).
tcf(c_167596,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK485(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165040,c_2225]) ).
tcf(c_167597,plain,
v2_membered(sK142(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167588,c_3147]) ).
tcf(c_167598,plain,
v2_membered(sK141(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167587,c_3147]) ).
tcf(c_167599,plain,
v2_membered(sK54(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167586,c_3147]) ).
tcf(c_167620,plain,
v3_membered(sK43(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_58,c_2226]) ).
tcf(c_167622,plain,
( v1_xboole_0(k3_numbers)
| v3_membered(sK54(k3_numbers)) ),
inference(superposition,[status(thm)],[c_119,c_2226]) ).
tcf(c_167623,plain,
( v1_xboole_0(k3_numbers)
| v3_membered(sK141(k3_numbers)) ),
inference(superposition,[status(thm)],[c_803,c_2226]) ).
tcf(c_167624,plain,
( v1_xboole_0(k3_numbers)
| v3_membered(sK142(k3_numbers)) ),
inference(superposition,[status(thm)],[c_811,c_2226]) ).
tcf(c_167625,plain,
( v1_relat_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK201(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165029,c_2226]) ).
tcf(c_167626,plain,
( v5_membered(k1_zfmisc_1(k3_numbers))
| v3_membered(sK255(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165030,c_2226]) ).
tcf(c_167627,plain,
( v1_membered(k1_zfmisc_1(k3_numbers))
| v3_membered(sK313(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165031,c_2226]) ).
tcf(c_167628,plain,
( v4_membered(k1_zfmisc_1(k3_numbers))
| v3_membered(sK365(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165035,c_2226]) ).
tcf(c_167629,plain,
( v2_membered(k1_zfmisc_1(k3_numbers))
| v3_membered(sK372(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165036,c_2226]) ).
tcf(c_167630,plain,
( v3_ordinal1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK377(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165037,c_2226]) ).
tcf(c_167631,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK484(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165039,c_2226]) ).
tcf(c_167632,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK485(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165040,c_2226]) ).
tcf(c_167633,plain,
v3_membered(sK142(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167624,c_3147]) ).
tcf(c_167634,plain,
v3_membered(sK141(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167623,c_3147]) ).
tcf(c_167635,plain,
v3_membered(sK54(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167622,c_3147]) ).
tcf(c_167656,plain,
! [X0: $i] :
( v3_ordinal1(sK374(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_2253,c_426]) ).
tcf(c_167657,plain,
! [X0: $i] :
( v3_ordinal1(sK374(X0))
| m1_subset_1(sK374(X0),X0) ),
inference(superposition,[status(thm)],[c_2253,c_421]) ).
tcf(c_167658,plain,
v3_ordinal1(sK374(np__0)),
inference(superposition,[status(thm)],[c_2253,c_655]) ).
tcf(c_167659,plain,
( v1_xreal_0(sK374(k1_numbers))
| v3_ordinal1(sK374(k1_numbers)) ),
inference(superposition,[status(thm)],[c_2253,c_2361]) ).
tcf(c_167660,plain,
( v1_int_1(sK374(k4_numbers))
| v3_ordinal1(sK374(k4_numbers)) ),
inference(superposition,[status(thm)],[c_2253,c_3085]) ).
tcf(c_167679,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_167539,c_78840,c_167539]) ).
tcf(c_167686,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_167679,c_78786]) ).
tcf(c_167699,plain,
! [X0: $i] :
( v3_ordinal1(sK376(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_2257,c_426]) ).
tcf(c_167700,plain,
! [X0: $i] :
( v3_ordinal1(sK376(X0))
| m1_subset_1(sK375(X0),X0) ),
inference(superposition,[status(thm)],[c_2257,c_421]) ).
tcf(c_167701,plain,
v3_ordinal1(sK376(np__0)),
inference(superposition,[status(thm)],[c_2257,c_655]) ).
tcf(c_167702,plain,
( v1_xreal_0(sK375(k1_numbers))
| v3_ordinal1(sK376(k1_numbers)) ),
inference(superposition,[status(thm)],[c_2257,c_2361]) ).
tcf(c_167703,plain,
( v1_int_1(sK375(k4_numbers))
| v3_ordinal1(sK376(k4_numbers)) ),
inference(superposition,[status(thm)],[c_2257,c_3085]) ).
tcf(c_167712,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_53,c_2281]) ).
tcf(c_167713,plain,
~ v1_xboole_0(k2_xboole_0(np__0,k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_1112,c_2281]) ).
tcf(c_167768,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_167686,c_78840,c_167686]) ).
tcf(c_167775,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_167768,c_78786]) ).
tcf(c_167784,plain,
! [X0: $i] :
( v5_membered(k3_tarski(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_2332,c_426]) ).
tcf(c_167785,plain,
! [X0: $i] :
( v5_membered(k3_tarski(X0))
| m1_subset_1(sK381(X0),X0) ),
inference(superposition,[status(thm)],[c_2332,c_421]) ).
tcf(c_167786,plain,
v5_membered(k3_tarski(np__0)),
inference(superposition,[status(thm)],[c_2332,c_655]) ).
tcf(c_167787,plain,
( v1_xreal_0(sK381(k1_numbers))
| v5_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_2332,c_2361]) ).
tcf(c_167788,plain,
( v1_int_1(sK381(k4_numbers))
| v5_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_2332,c_3085]) ).
tcf(c_167806,plain,
! [X0: $i] : r2_wellord2(X0,k1_funct_2(k1_zfmisc_1(np__0),X0)),
inference(superposition,[status(thm)],[c_1112,c_2391]) ).
tcf(c_167867,plain,
( v1_xreal_0(sK381(k1_numbers))
| v3_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_167787,c_166873]) ).
tcf(c_167868,plain,
( v1_xreal_0(sK381(k1_numbers))
| v2_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_167787,c_166862]) ).
tcf(c_167869,plain,
( v1_xreal_0(sK381(k1_numbers))
| v1_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_167787,c_166852]) ).
tcf(c_167870,plain,
( v1_xreal_0(sK381(k1_numbers))
| v4_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_167787,c_2214]) ).
tcf(c_167883,plain,
( v1_int_1(sK381(k4_numbers))
| v3_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_167788,c_166873]) ).
tcf(c_167884,plain,
( v1_int_1(sK381(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_167788,c_166862]) ).
tcf(c_167885,plain,
( v1_int_1(sK381(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_167788,c_166852]) ).
tcf(c_167886,plain,
( v1_int_1(sK381(k4_numbers))
| v4_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_167788,c_2214]) ).
tcf(c_167895,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_167775,c_78840,c_167775]) ).
tcf(c_167902,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_167895,c_78786]) ).
tcf(c_167907,plain,
! [X0: $i] : r2_wellord2(k1_zfmisc_1(np__0),k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_1112,c_2401]) ).
tcf(c_167908,plain,
! [X0: $i] : r2_wellord2(k2_tarski(X0,X0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_1112,c_2401]) ).
tcf(c_167923,plain,
v1_membered(sK43(k1_zfmisc_1(k2_numbers))),
inference(superposition,[status(thm)],[c_58,c_3063]) ).
tcf(c_167925,plain,
( v1_xboole_0(k2_numbers)
| v1_membered(sK54(k2_numbers)) ),
inference(superposition,[status(thm)],[c_119,c_3063]) ).
tcf(c_167926,plain,
( v1_xboole_0(k2_numbers)
| v1_membered(sK141(k2_numbers)) ),
inference(superposition,[status(thm)],[c_803,c_3063]) ).
tcf(c_167927,plain,
( v1_xboole_0(k2_numbers)
| v1_membered(sK142(k2_numbers)) ),
inference(superposition,[status(thm)],[c_811,c_3063]) ).
tcf(c_167928,plain,
( v1_relat_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK201(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_165029,c_3063]) ).
tcf(c_167929,plain,
( v5_membered(k1_zfmisc_1(k2_numbers))
| v1_membered(sK255(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_165030,c_3063]) ).
tcf(c_167930,plain,
( v1_membered(k1_zfmisc_1(k2_numbers))
| v1_membered(sK313(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_165031,c_3063]) ).
tcf(c_167931,plain,
( v4_membered(k1_zfmisc_1(k2_numbers))
| v1_membered(sK365(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_165035,c_3063]) ).
tcf(c_167932,plain,
( v2_membered(k1_zfmisc_1(k2_numbers))
| v1_membered(sK372(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_165036,c_3063]) ).
tcf(c_167933,plain,
( v3_ordinal1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK377(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_165037,c_3063]) ).
tcf(c_167934,plain,
( v1_realset1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK484(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_165039,c_3063]) ).
tcf(c_167935,plain,
( v1_realset1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK485(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_165040,c_3063]) ).
tcf(c_167936,plain,
v1_membered(sK142(k2_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167927,c_3072]) ).
tcf(c_167937,plain,
v1_membered(sK141(k2_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167926,c_3072]) ).
tcf(c_167938,plain,
v1_membered(sK54(k2_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_167925,c_3072]) ).
tcf(c_167987,plain,
( v1_xreal_0(sK381(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_167884,c_1725]) ).
tcf(c_167988,plain,
( v2_membered(k3_tarski(k4_numbers))
| v1_xcmplx_0(sK381(k4_numbers)) ),
inference(superposition,[status(thm)],[c_167884,c_1724]) ).
tcf(c_167997,plain,
( v1_xreal_0(sK381(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_167885,c_1725]) ).
tcf(c_167998,plain,
( v1_xcmplx_0(sK381(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_167885,c_1724]) ).
tcf(c_168010,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_167902,c_78840,c_167902]) ).
tcf(c_168017,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_168010,c_78786]) ).
tcf(c_168022,plain,
! [X0: $i,X1: $i] : r1_tarski(np__0,k5_xboole_0(X0,k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_522,c_3126]) ).
tcf(c_168023,plain,
! [X0: $i] : r1_tarski(X0,k5_xboole_0(X0,np__0)),
inference(superposition,[status(thm)],[c_1153,c_3126]) ).
tcf(c_168024,plain,
! [X0: $i] : r1_tarski(np__0,k5_xboole_0(X0,X0)),
inference(superposition,[status(thm)],[c_47750,c_3126]) ).
tcf(c_168025,plain,
! [X0: $i] : r1_tarski(np__0,k5_xboole_0(np__0,X0)),
inference(superposition,[status(thm)],[c_1152,c_3126]) ).
tcf(c_168026,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(X0,X0),np__0),
inference(superposition,[status(thm)],[c_3130,c_3126]) ).
tcf(c_168027,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(X0,np__0),X0),
inference(superposition,[status(thm)],[c_3132,c_3126]) ).
tcf(c_168036,plain,
( v2_classes1(k4_classes1(np__0))
| ~ v2_classes1(np__0) ),
inference(superposition,[status(thm)],[c_2055,c_3153]) ).
tcf(c_168045,plain,
! [X0: $i] :
( v4_ordinal1(k1_card_1(X0))
| v1_finset_1(k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_3500,c_3175]) ).
tcf(c_168046,plain,
( v4_ordinal1(sK545)
| v1_finset_1(sK545) ),
inference(superposition,[status(thm)],[c_3510,c_3175]) ).
tcf(c_168049,plain,
( v1_relat_1(k5_numbers)
| v4_ordinal1(sK201(k5_numbers))
| v1_finset_1(sK201(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165655,c_3175]) ).
tcf(c_168050,plain,
( v3_ordinal1(k5_numbers)
| v4_ordinal1(sK377(k5_numbers))
| v1_finset_1(sK377(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165965,c_3175]) ).
tcf(c_168051,plain,
( v1_realset1(k5_numbers)
| v4_ordinal1(sK484(k5_numbers))
| v1_finset_1(sK484(k5_numbers)) ),
inference(superposition,[status(thm)],[c_166107,c_3175]) ).
tcf(c_168052,plain,
( v1_realset1(k5_numbers)
| v4_ordinal1(sK485(k5_numbers))
| v1_finset_1(sK485(k5_numbers)) ),
inference(superposition,[status(thm)],[c_166226,c_3175]) ).
tcf(c_168074,plain,
r2_wellord2(k1_zfmisc_1(np__0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_1112,c_167907]) ).
tcf(c_168106,plain,
! [X0: $i] :
( ~ v3_ordinal1(X0)
| ~ v1_xboole_0(sK503(X0)) ),
inference(superposition,[status(thm)],[c_3180,c_426]) ).
tcf(c_168107,plain,
! [X0: $i] :
( m1_subset_1(X0,sK503(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_3180,c_421]) ).
tcf(c_168118,plain,
~ v3_xreal_0(sK43(k5_numbers)),
inference(superposition,[status(thm)],[c_58,c_3350]) ).
tcf(c_168119,plain,
( v1_relat_1(k5_numbers)
| ~ v3_xreal_0(sK201(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165029,c_3350]) ).
tcf(c_168124,plain,
( v3_ordinal1(k5_numbers)
| ~ v3_xreal_0(sK377(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165037,c_3350]) ).
tcf(c_168125,plain,
( v1_realset1(k5_numbers)
| ~ v3_xreal_0(sK484(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165039,c_3350]) ).
tcf(c_168126,plain,
( v1_realset1(k5_numbers)
| ~ v3_xreal_0(sK485(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165040,c_3350]) ).
tcf(c_168135,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_168017,c_78840,c_168017]) ).
tcf(c_168142,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_168135,c_78786]) ).
tcf(c_168183,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3401,c_426]) ).
tcf(c_168184,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| m1_subset_1(sK535(X0),X0) ),
inference(superposition,[status(thm)],[c_3401,c_421]) ).
tcf(c_168185,plain,
v3_ordinal1(k1_setfam_1(np__0)),
inference(superposition,[status(thm)],[c_3401,c_655]) ).
tcf(c_168186,plain,
( v1_xreal_0(sK535(k1_numbers))
| v3_ordinal1(k1_setfam_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_3401,c_2361]) ).
tcf(c_168187,plain,
( v1_int_1(sK535(k4_numbers))
| v3_ordinal1(k1_setfam_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3401,c_3085]) ).
tcf(c_168212,plain,
k1_setfam_1(k1_zfmisc_1(np__0)) = np__0,
inference(superposition,[status(thm)],[c_1112,c_3403]) ).
tcf(c_168213,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v1_xboole_0(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_3403,c_168183]) ).
tcf(c_168214,plain,
! [X0: $i] : r1_tarski(X0,k3_tarski(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_3403,c_3412]) ).
tcf(c_168217,plain,
r1_tarski(np__0,k3_tarski(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_168212,c_3412]) ).
tcf(c_168219,plain,
r1_tarski(np__0,k2_xboole_0(np__0,np__0)),
inference(light_normalisation,[status(thm)],[c_168217,c_165601]) ).
tcf(c_168221,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_168142,c_78840,c_168142]) ).
tcf(c_168228,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_168221,c_78786]) ).
tcf(c_168241,plain,
( ~ v1_card_1(k1_numbers)
| ~ v1_xreal_0(k1_numbers) ),
inference(superposition,[status(thm)],[c_2362,c_3509]) ).
tcf(c_168242,plain,
( ~ v1_card_1(k4_numbers)
| ~ v1_int_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3086,c_3509]) ).
tcf(c_168251,plain,
( r1_ordinal1(np__0,np__0)
| ~ v3_ordinal1(np__0) ),
inference(superposition,[status(thm)],[c_2055,c_3513]) ).
tcf(c_168252,plain,
r1_ordinal1(np__0,np__0),
inference(forward_subsumption_resolution,[status(thm)],[c_168251,c_2260]) ).
tcf(c_168257,plain,
! [X0: $i,X1: $i] :
( r1_ordinal1(k2_xboole_0(X0,X1),k2_tarski(X0,X1))
| ~ v3_ordinal1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_49,c_3514]) ).
tcf(c_168258,plain,
! [X0: $i] :
( r1_ordinal1(X0,k1_zfmisc_1(X0))
| ~ v3_ordinal1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1185,c_3514]) ).
tcf(c_168292,plain,
! [X0: $i] :
( v3_ordinal1(k6_partfun1(X0))
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_3924,c_165312]) ).
tcf(c_168294,plain,
! [X0: $i] :
( v1_finset_1(k6_partfun1(X0))
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_3924,c_164869]) ).
tcf(c_168295,plain,
! [X0: $i] :
( v1_membered(k6_partfun1(X0))
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_3924,c_164868]) ).
tcf(c_168296,plain,
! [X0: $i] :
( v2_membered(k6_partfun1(X0))
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_3924,c_164867]) ).
tcf(c_168297,plain,
! [X0: $i] :
( v3_membered(k6_partfun1(X0))
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_3924,c_164866]) ).
tcf(c_168298,plain,
! [X0: $i] :
( v4_membered(k6_partfun1(X0))
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_3924,c_164865]) ).
tcf(c_168299,plain,
! [X0: $i] :
( v5_membered(k6_partfun1(X0))
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_3924,c_164864]) ).
tcf(c_168300,plain,
! [X0: $i] :
( v1_realset1(k6_partfun1(X0))
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_3924,c_164863]) ).
tcf(c_168333,plain,
! [X0: $i] :
( v1_xreal_0(k2_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_8073,c_1725]) ).
tcf(c_168334,plain,
! [X0: $i] :
( v1_xcmplx_0(k2_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_8073,c_1724]) ).
tcf(c_168345,plain,
! [X0: $i] :
( v1_xreal_0(k6_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_8075,c_1725]) ).
tcf(c_168346,plain,
! [X0: $i] :
( v1_xcmplx_0(k6_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_8075,c_1724]) ).
tcf(c_168353,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_47333,c_3492]) ).
tcf(c_168354,plain,
! [X0: $i] : sP38(np__0,X0,k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_47333,c_3490]) ).
tcf(c_168357,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_168228,c_78840,c_168228]) ).
tcf(c_168364,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_168357,c_78786]) ).
tcf(c_168369,plain,
k1_zfmisc_1(np__0) != np__0,
inference(superposition,[status(thm)],[c_1112,c_51683]) ).
tcf(c_168373,plain,
~ v1_xboole_0(k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_57872,c_1991]) ).
tcf(c_168374,plain,
v1_finset_1(k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_57872,c_810]) ).
tcf(c_168375,plain,
k2_xboole_0(np__1,np__1) = k3_tarski(k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_57872,c_49]) ).
tcf(c_168376,plain,
k2_finseq_1(np__1) != np__0,
inference(superposition,[status(thm)],[c_57872,c_51683]) ).
tcf(c_168377,plain,
k1_setfam_1(k2_finseq_1(np__1)) = np__1,
inference(superposition,[status(thm)],[c_57872,c_3403]) ).
tcf(c_168378,plain,
r2_wellord2(k2_finseq_1(np__1),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_57872,c_167908]) ).
tcf(c_168379,plain,
r2_wellord2(k1_zfmisc_1(np__0),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_57872,c_167907]) ).
tcf(c_168380,plain,
! [X0: $i] : r2_wellord2(k2_finseq_1(np__1),k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_57872,c_2401]) ).
tcf(c_168381,plain,
~ v1_xboole_0(k2_xboole_0(np__1,k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_57872,c_2281]) ).
tcf(c_168382,plain,
( v4_membered(k2_finseq_1(np__1))
| ~ v1_int_1(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_2181]) ).
tcf(c_168383,plain,
( v3_membered(k2_finseq_1(np__1))
| ~ v1_int_1(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_2180]) ).
tcf(c_168384,plain,
( v2_membered(k2_finseq_1(np__1))
| ~ v1_int_1(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_2179]) ).
tcf(c_168385,plain,
( v1_membered(k2_finseq_1(np__1))
| ~ v1_int_1(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_2178]) ).
tcf(c_168386,plain,
! [X0: $i] : r1_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0)),
inference(superposition,[status(thm)],[c_57872,c_2037]) ).
tcf(c_168387,plain,
! [X0: $i] : r1_tarski(k2_finseq_1(np__1),k2_tarski(X0,np__1)),
inference(superposition,[status(thm)],[c_57872,c_2020]) ).
tcf(c_168388,plain,
( v2_membered(k2_finseq_1(np__1))
| ~ v1_xreal_0(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_1767]) ).
tcf(c_168389,plain,
( v1_membered(k2_finseq_1(np__1))
| ~ v1_xreal_0(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_1766]) ).
tcf(c_168390,plain,
( v1_membered(k2_finseq_1(np__1))
| ~ v1_xcmplx_0(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_1720]) ).
tcf(c_168391,plain,
( v5_membered(k2_finseq_1(np__1))
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_1285]) ).
tcf(c_168392,plain,
( v4_membered(k2_finseq_1(np__1))
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_1284]) ).
tcf(c_168393,plain,
( v3_membered(k2_finseq_1(np__1))
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_1283]) ).
tcf(c_168394,plain,
( v2_membered(k2_finseq_1(np__1))
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_1282]) ).
tcf(c_168395,plain,
( v1_membered(k2_finseq_1(np__1))
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_1281]) ).
tcf(c_168396,plain,
! [X0: $i] : r2_hidden(np__1,k2_xboole_0(X0,k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_57872,c_489]) ).
tcf(c_168397,plain,
r1_tarski(k2_finseq_1(np__1),k1_zfmisc_1(np__1)),
inference(superposition,[status(thm)],[c_57872,c_1102]) ).
tcf(c_168398,plain,
v1_realset1(k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_57872,c_3025]) ).
tcf(c_168399,plain,
! [X0: $i] : r2_wellord2(k2_tarski(X0,X0),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_57872,c_2401]) ).
tcf(c_168400,plain,
! [X0: $i] : r2_wellord2(X0,k1_funct_2(k2_finseq_1(np__1),X0)),
inference(superposition,[status(thm)],[c_57872,c_2391]) ).
tcf(c_168401,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_enumset1(X0,X0,X1,X2),k2_finseq_1(np__1)) = k2_enumset1(X0,X1,X2,np__1),
inference(superposition,[status(thm)],[c_57872,c_53]) ).
tcf(c_168402,plain,
r1_tarski(k2_finseq_1(np__1),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_57872,c_2020]) ).
tcf(c_168403,plain,
m1_subset_1(np__1,k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_57872,c_165033]) ).
tcf(c_168404,plain,
r2_hidden(np__1,k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_57872,c_2046]) ).
tcf(c_168429,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_finseq_1(np__1),k2_enumset1(X0,X0,X1,X2)) = k2_enumset1(X0,X1,X2,np__1),
inference(theory_normalisation,[status(thm)],[c_168401,c_543,c_546,c_3131,c_3133]) ).
tcf(c_168441,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ r1_tarski(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_99,c_1772]) ).
tcf(c_168442,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ r1_tarski(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_99,c_1771]) ).
tcf(c_168443,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_99,c_2202]) ).
tcf(c_168444,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_99,c_2201]) ).
tcf(c_168445,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_99,c_2200]) ).
tcf(c_168446,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_99,c_2199]) ).
tcf(c_168447,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_99,c_2198]) ).
tcf(c_168448,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ r1_tarski(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_99,c_2206]) ).
tcf(c_168449,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ r1_tarski(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_99,c_2205]) ).
tcf(c_168450,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ r1_tarski(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_99,c_2204]) ).
tcf(c_168451,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ r1_tarski(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_99,c_2203]) ).
tcf(c_168452,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ r1_tarski(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_99,c_2226]) ).
tcf(c_168453,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ r1_tarski(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_99,c_2225]) ).
tcf(c_168454,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ r1_tarski(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_99,c_2224]) ).
tcf(c_168455,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ r1_tarski(X0,k2_numbers) ),
inference(superposition,[status(thm)],[c_99,c_3063]) ).
tcf(c_168456,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ r1_tarski(X0,u1_struct_0(sK81(X1))) ),
inference(superposition,[status(thm)],[c_99,c_78786]) ).
tcf(c_168495,plain,
! [X0: $i] : r1_tarski(sK43(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_58,c_100]) ).
tcf(c_168498,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK54(X0),X0) ),
inference(superposition,[status(thm)],[c_119,c_100]) ).
tcf(c_168499,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK141(X0),X0) ),
inference(superposition,[status(thm)],[c_803,c_100]) ).
tcf(c_168500,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK142(X0),X0) ),
inference(superposition,[status(thm)],[c_811,c_100]) ).
tcf(c_168502,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(X0)))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_163360,c_100]) ).
tcf(c_168503,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_163412,c_100]) ).
tcf(c_168504,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_163505,c_100]) ).
tcf(c_168505,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_163626,c_100]) ).
tcf(c_168506,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_163738,c_100]) ).
tcf(c_168507,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_163821,c_100]) ).
tcf(c_168508,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_163861,c_100]) ).
tcf(c_168509,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_163968,c_100]) ).
tcf(c_168510,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_164238,c_100]) ).
tcf(c_168511,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_164362,c_100]) ).
tcf(c_168512,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_164538,c_100]) ).
tcf(c_168513,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_164736,c_100]) ).
tcf(c_168514,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_164899,c_100]) ).
tcf(c_168515,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165240,c_100]) ).
tcf(c_168516,plain,
! [X0: $i] :
( v1_relat_1(k1_zfmisc_1(X0))
| r1_tarski(sK201(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_165029,c_100]) ).
tcf(c_168517,plain,
! [X0: $i] :
( v5_membered(k1_zfmisc_1(X0))
| r1_tarski(sK255(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_165030,c_100]) ).
tcf(c_168518,plain,
! [X0: $i] :
( v1_membered(k1_zfmisc_1(X0))
| r1_tarski(sK313(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_165031,c_100]) ).
tcf(c_168519,plain,
! [X0: $i] :
( v4_membered(k1_zfmisc_1(X0))
| r1_tarski(sK365(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_165035,c_100]) ).
tcf(c_168520,plain,
! [X0: $i] :
( v2_membered(k1_zfmisc_1(X0))
| r1_tarski(sK372(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_165036,c_100]) ).
tcf(c_168521,plain,
! [X0: $i] :
( v3_ordinal1(k1_zfmisc_1(X0))
| r1_tarski(sK377(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_165037,c_100]) ).
tcf(c_168522,plain,
! [X0: $i] :
( v1_realset1(k1_zfmisc_1(X0))
| r1_tarski(sK484(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_165039,c_100]) ).
tcf(c_168523,plain,
! [X0: $i] :
( v1_realset1(k1_zfmisc_1(X0))
| r1_tarski(sK485(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_165040,c_100]) ).
tcf(c_168524,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165461,c_100]) ).
tcf(c_168525,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165557,c_100]) ).
tcf(c_168526,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165693,c_100]) ).
tcf(c_168527,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165825,c_100]) ).
tcf(c_168528,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165992,c_100]) ).
tcf(c_168529,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_166145,c_100]) ).
tcf(c_168530,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_166278,c_100]) ).
tcf(c_168531,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_166370,c_100]) ).
tcf(c_168532,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_166498,c_100]) ).
tcf(c_168533,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_166601,c_100]) ).
tcf(c_168534,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_166724,c_100]) ).
tcf(c_168535,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_166835,c_100]) ).
tcf(c_168536,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_166956,c_100]) ).
tcf(c_168537,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_167147,c_100]) ).
tcf(c_168538,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_167358,c_100]) ).
tcf(c_168539,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_167532,c_100]) ).
tcf(c_168540,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_167679,c_100]) ).
tcf(c_168541,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_167768,c_100]) ).
tcf(c_168542,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_167895,c_100]) ).
tcf(c_168543,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_168010,c_100]) ).
tcf(c_168544,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_168135,c_100]) ).
tcf(c_168545,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_168221,c_100]) ).
tcf(c_168546,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_168357,c_100]) ).
tcf(c_168688,plain,
r1_tarski(np__1,k3_tarski(k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_168377,c_3412]) ).
tcf(c_168689,plain,
r1_tarski(np__1,k2_xboole_0(np__1,np__1)),
inference(light_normalisation,[status(thm)],[c_168688,c_168375]) ).
tcf(c_168690,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_168364,c_78840,c_168364]) ).
tcf(c_168697,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_168690,c_100]) ).
tcf(c_168698,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_168690,c_78786]) ).
tcf(c_168710,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_125,c_426]) ).
tcf(c_168712,plain,
! [X0: $i] : ~ r1_tarski(sK373(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_125,c_2250]) ).
tcf(c_168713,plain,
! [X0: $i] :
( ~ v1_card_1(k1_zfmisc_1(X0))
| ~ r1_tarski(k1_zfmisc_1(X0),X0) ),
inference(superposition,[status(thm)],[c_125,c_3509]) ).
tcf(c_168714,plain,
! [X0: $i] : ~ r1_tarski(sK546(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_125,c_3522]) ).
tcf(c_168726,plain,
! [X0: $i] :
( v4_membered(k3_tarski(k1_zfmisc_1(X0)))
| r1_tarski(sK231(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1162,c_126]) ).
tcf(c_168727,plain,
! [X0: $i] :
( v3_membered(k3_tarski(k1_zfmisc_1(X0)))
| r1_tarski(sK232(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1164,c_126]) ).
tcf(c_168728,plain,
! [X0: $i] :
( v2_membered(k3_tarski(k1_zfmisc_1(X0)))
| r1_tarski(sK233(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1166,c_126]) ).
tcf(c_168729,plain,
! [X0: $i] :
( v1_membered(k3_tarski(k1_zfmisc_1(X0)))
| r1_tarski(sK234(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1168,c_126]) ).
tcf(c_168730,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(k1_zfmisc_1(X0)))
| r1_tarski(sK236(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1175,c_126]) ).
tcf(c_168735,plain,
! [X0: $i] :
( v3_ordinal1(sK374(k1_zfmisc_1(X0)))
| r1_tarski(sK374(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_2253,c_126]) ).
tcf(c_168736,plain,
! [X0: $i] :
( v3_ordinal1(sK376(k1_zfmisc_1(X0)))
| r1_tarski(sK375(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_2257,c_126]) ).
tcf(c_168738,plain,
! [X0: $i] :
( v5_membered(k3_tarski(k1_zfmisc_1(X0)))
| r1_tarski(sK381(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_2332,c_126]) ).
tcf(c_168741,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(k1_zfmisc_1(X0)))
| r1_tarski(sK535(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_3401,c_126]) ).
tcf(c_168745,plain,
! [X0: $i] :
( v5_membered(X0)
| r1_tarski(sK381(k1_zfmisc_1(X0)),X0) ),
inference(light_normalisation,[status(thm)],[c_168738,c_1185]) ).
tcf(c_168752,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| r1_tarski(sK236(k1_zfmisc_1(X0)),X0) ),
inference(light_normalisation,[status(thm)],[c_168730,c_1185]) ).
tcf(c_168755,plain,
! [X0: $i] :
( v1_membered(X0)
| r1_tarski(sK234(k1_zfmisc_1(X0)),X0) ),
inference(light_normalisation,[status(thm)],[c_168729,c_1185]) ).
tcf(c_168758,plain,
! [X0: $i] :
( v2_membered(X0)
| r1_tarski(sK233(k1_zfmisc_1(X0)),X0) ),
inference(light_normalisation,[status(thm)],[c_168728,c_1185]) ).
tcf(c_168761,plain,
! [X0: $i] :
( v3_membered(X0)
| r1_tarski(sK232(k1_zfmisc_1(X0)),X0) ),
inference(light_normalisation,[status(thm)],[c_168727,c_1185]) ).
tcf(c_168764,plain,
! [X0: $i] :
( v4_membered(X0)
| r1_tarski(sK231(k1_zfmisc_1(X0)),X0) ),
inference(light_normalisation,[status(thm)],[c_168726,c_1185]) ).
tcf(c_168775,plain,
! [X0: $i] : ~ r2_hidden(X0,X0),
inference(superposition,[status(thm)],[c_396,c_376]) ).
tcf(c_168776,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(X0,X1),X0),
inference(superposition,[status(thm)],[c_540,c_376]) ).
tcf(c_168777,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k5_finsub_1(X0)),
inference(superposition,[status(thm)],[c_769,c_376]) ).
tcf(c_168778,plain,
! [X0: $i] : ~ r2_hidden(X0,k2_relat_1(sK146(X0,np__0))),
inference(superposition,[status(thm)],[c_843,c_376]) ).
tcf(c_168779,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_1102,c_376]) ).
tcf(c_168780,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(X0,k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_1147,c_376]) ).
tcf(c_168781,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(k3_tarski(X0)),X0),
inference(superposition,[status(thm)],[c_1184,c_376]) ).
tcf(c_168782,plain,
~ r2_hidden(k1_numbers,k5_numbers),
inference(superposition,[status(thm)],[c_1302,c_376]) ).
tcf(c_168783,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_tarski(X0,X1),k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_2037,c_376]) ).
tcf(c_168784,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_tarski(X0,X1),k2_tarski(X1,X1)),
inference(superposition,[status(thm)],[c_2020,c_376]) ).
tcf(c_168785,plain,
! [X0: $i] :
( ~ v4_membered(X0)
| ~ r2_hidden(k4_numbers,X0) ),
inference(superposition,[status(thm)],[c_2112,c_376]) ).
tcf(c_168786,plain,
! [X0: $i] :
( ~ v3_membered(X0)
| ~ r2_hidden(k3_numbers,X0) ),
inference(superposition,[status(thm)],[c_2216,c_376]) ).
tcf(c_168787,plain,
! [X0: $i] :
( ~ v2_membered(X0)
| ~ r2_hidden(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_2246,c_376]) ).
tcf(c_168788,plain,
! [X0: $i] :
( ~ v5_membered(X0)
| ~ r2_hidden(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_2334,c_376]) ).
tcf(c_168789,plain,
! [X0: $i] : ~ r2_hidden(k2_zfmisc_1(X0,X0),k6_partfun1(X0)),
inference(superposition,[status(thm)],[c_2813,c_376]) ).
tcf(c_168790,plain,
! [X0: $i] :
( ~ v1_membered(X0)
| ~ r2_hidden(k2_numbers,X0) ),
inference(superposition,[status(thm)],[c_3060,c_376]) ).
tcf(c_168791,plain,
~ r2_hidden(k2_numbers,k5_numbers),
inference(superposition,[status(thm)],[c_3068,c_376]) ).
tcf(c_168792,plain,
~ r2_hidden(k2_numbers,k4_numbers),
inference(superposition,[status(thm)],[c_3069,c_376]) ).
tcf(c_168793,plain,
~ r2_hidden(k2_numbers,k3_numbers),
inference(superposition,[status(thm)],[c_3070,c_376]) ).
tcf(c_168794,plain,
~ r2_hidden(k2_numbers,k1_numbers),
inference(superposition,[status(thm)],[c_3071,c_376]) ).
tcf(c_168795,plain,
~ r2_hidden(k4_numbers,k5_numbers),
inference(superposition,[status(thm)],[c_3091,c_376]) ).
tcf(c_168796,plain,
~ r2_hidden(k1_numbers,k4_numbers),
inference(superposition,[status(thm)],[c_3092,c_376]) ).
tcf(c_168797,plain,
~ r2_hidden(k3_numbers,k4_numbers),
inference(superposition,[status(thm)],[c_3093,c_376]) ).
tcf(c_168798,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k5_xboole_0(X0,X1),k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_3126,c_376]) ).
tcf(c_168799,plain,
~ r2_hidden(k3_numbers,k5_numbers),
inference(superposition,[status(thm)],[c_3145,c_376]) ).
tcf(c_168800,plain,
~ r2_hidden(k1_numbers,k3_numbers),
inference(superposition,[status(thm)],[c_3146,c_376]) ).
tcf(c_168801,plain,
! [X0: $i] : ~ r2_hidden(k3_tarski(X0),k1_setfam_1(X0)),
inference(superposition,[status(thm)],[c_3412,c_376]) ).
tcf(c_168802,plain,
! [X0: $i] : ~ r2_hidden(X0,k1_setfam_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_164196,c_376]) ).
tcf(c_168803,plain,
! [X0: $i] : ~ r2_hidden(k2_tarski(X0,np__0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_166778,c_376]) ).
tcf(c_168804,plain,
! [X0: $i] : ~ r2_hidden(k2_tarski(np__0,X0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_166781,c_376]) ).
tcf(c_168805,plain,
~ r2_hidden(k1_zfmisc_1(np__1),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_168397,c_376]) ).
tcf(c_168806,plain,
! [X0: $i] : ~ r2_hidden(X0,sK43(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_168495,c_376]) ).
tcf(c_168841,plain,
k2_relat_1(sK146(np__0,np__0)) = np__0,
inference(superposition,[status(thm)],[c_843,c_390]) ).
tcf(c_168844,plain,
sK43(k1_zfmisc_1(np__0)) = np__0,
inference(superposition,[status(thm)],[c_168495,c_390]) ).
tcf(c_168846,plain,
! [X0: $i] : ~ r1_tarski(k1_zfmisc_1(X0),X0),
inference(superposition,[status(thm)],[c_125,c_168775]) ).
tcf(c_168847,plain,
~ v1_xreal_0(k1_numbers),
inference(superposition,[status(thm)],[c_2362,c_168775]) ).
tcf(c_168848,plain,
~ v1_int_1(k4_numbers),
inference(superposition,[status(thm)],[c_3086,c_168775]) ).
tcf(c_168850,plain,
~ v1_int_1(k2_numbers),
inference(superposition,[status(thm)],[c_3086,c_168792]) ).
tcf(c_168851,plain,
~ v1_xreal_0(k2_numbers),
inference(superposition,[status(thm)],[c_2362,c_168794]) ).
tcf(c_168852,plain,
~ v1_int_1(k1_numbers),
inference(superposition,[status(thm)],[c_3086,c_168796]) ).
tcf(c_168853,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_168698,c_78840,c_168698]) ).
tcf(c_168860,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_168853,c_100]) ).
tcf(c_168861,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_168853,c_78786]) ).
tcf(c_168873,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_398,c_426]) ).
tcf(c_168874,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| m1_subset_1(sK85(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_398,c_421]) ).
tcf(c_168875,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| r1_tarski(sK85(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_398,c_126]) ).
tcf(c_168877,plain,
! [X0: $i] :
( r1_tarski(k1_numbers,X0)
| v1_xreal_0(sK85(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_398,c_2361]) ).
tcf(c_168878,plain,
! [X0: $i] :
( r1_tarski(k4_numbers,X0)
| v1_int_1(sK85(k4_numbers,X0)) ),
inference(superposition,[status(thm)],[c_398,c_3085]) ).
tcf(c_168896,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK87(k1_zfmisc_1(X1)),k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_125,c_427]) ).
tcf(c_168897,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_398,c_427]) ).
tcf(c_168898,plain,
! [X0: $i,X1: $i] : r2_hidden(sK87(k2_xboole_0(X0,k2_tarski(X1,X1))),k2_xboole_0(X0,k2_tarski(X1,X1))),
inference(superposition,[status(thm)],[c_489,c_427]) ).
tcf(c_168899,plain,
! [X0: $i] :
( v1_relat_1(X0)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_1045,c_427]) ).
tcf(c_168900,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_1162,c_427]) ).
tcf(c_168901,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_1164,c_427]) ).
tcf(c_168902,plain,
! [X0: $i] :
( v2_membered(k3_tarski(X0))
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_1166,c_427]) ).
tcf(c_168903,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_1168,c_427]) ).
tcf(c_168904,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_1175,c_427]) ).
tcf(c_168905,plain,
! [X0: $i] :
( v5_membered(X0)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_1269,c_427]) ).
tcf(c_168906,plain,
! [X0: $i] :
( v1_membered(X0)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_1717,c_427]) ).
tcf(c_168907,plain,
! [X0: $i,X1: $i] : r2_hidden(sK87(k2_tarski(X0,X1)),k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_2045,c_427]) ).
tcf(c_168909,plain,
! [X0: $i] : r2_hidden(sK87(k1_card_1(k1_zfmisc_1(X0))),k1_card_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_2056,c_427]) ).
tcf(c_168910,plain,
! [X0: $i] :
( v4_membered(X0)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_2114,c_427]) ).
tcf(c_168911,plain,
! [X0: $i] :
( v2_membered(X0)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_2248,c_427]) ).
tcf(c_168912,plain,
! [X0: $i] :
( v3_ordinal1(sK374(X0))
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_2253,c_427]) ).
tcf(c_168913,plain,
! [X0: $i] :
( v3_ordinal1(sK376(X0))
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_2257,c_427]) ).
tcf(c_168914,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_2259,c_427]) ).
tcf(c_168915,plain,
! [X0: $i] :
( v5_membered(k3_tarski(X0))
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_2332,c_427]) ).
tcf(c_168916,plain,
! [X0: $i] :
( r2_hidden(sK87(k1_numbers),k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_2362,c_427]) ).
tcf(c_168917,plain,
! [X0: $i] :
( v1_realset1(X0)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_3010,c_427]) ).
tcf(c_168919,plain,
! [X0: $i] :
( r2_hidden(sK87(k4_numbers),k4_numbers)
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_3086,c_427]) ).
tcf(c_168920,plain,
! [X0: $i] :
( r2_hidden(sK87(sK503(X0)),sK503(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_3180,c_427]) ).
tcf(c_168921,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_3401,c_427]) ).
tcf(c_168922,plain,
r2_hidden(sK87(k1_zfmisc_1(np__0)),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_165607,c_427]) ).
tcf(c_168924,plain,
! [X0: $i] : r2_hidden(sK87(k2_xboole_0(X0,k1_zfmisc_1(np__0))),k2_xboole_0(X0,k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_165602,c_427]) ).
tcf(c_168925,plain,
r2_hidden(sK87(k2_finseq_1(np__1)),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_168404,c_427]) ).
tcf(c_168986,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_125,c_431]) ).
tcf(c_168987,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(X0,sK85(X0,X1)) ),
inference(superposition,[status(thm)],[c_398,c_431]) ).
tcf(c_168988,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(X0,k2_tarski(X1,X1)),X1),
inference(superposition,[status(thm)],[c_489,c_431]) ).
tcf(c_168989,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ r2_hidden(X0,sK201(X0)) ),
inference(superposition,[status(thm)],[c_1045,c_431]) ).
tcf(c_168990,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| ~ r2_hidden(X0,sK231(X0)) ),
inference(superposition,[status(thm)],[c_1162,c_431]) ).
tcf(c_168991,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| ~ r2_hidden(X0,sK232(X0)) ),
inference(superposition,[status(thm)],[c_1164,c_431]) ).
tcf(c_168992,plain,
! [X0: $i] :
( v2_membered(k3_tarski(X0))
| ~ r2_hidden(X0,sK233(X0)) ),
inference(superposition,[status(thm)],[c_1166,c_431]) ).
tcf(c_168993,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| ~ r2_hidden(X0,sK234(X0)) ),
inference(superposition,[status(thm)],[c_1168,c_431]) ).
tcf(c_168994,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| ~ r2_hidden(X0,sK236(X0)) ),
inference(superposition,[status(thm)],[c_1175,c_431]) ).
tcf(c_168995,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ r2_hidden(X0,sK255(X0)) ),
inference(superposition,[status(thm)],[c_1269,c_431]) ).
tcf(c_168996,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ r2_hidden(X0,sK313(X0)) ),
inference(superposition,[status(thm)],[c_1717,c_431]) ).
tcf(c_168997,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_tarski(X0,X1),X0),
inference(superposition,[status(thm)],[c_2045,c_431]) ).
tcf(c_168998,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_tarski(X0,X1),X1),
inference(superposition,[status(thm)],[c_2046,c_431]) ).
tcf(c_168999,plain,
! [X0: $i] : ~ r2_hidden(k1_card_1(k1_zfmisc_1(X0)),k1_card_1(X0)),
inference(superposition,[status(thm)],[c_2056,c_431]) ).
tcf(c_169000,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ r2_hidden(X0,sK365(X0)) ),
inference(superposition,[status(thm)],[c_2114,c_431]) ).
tcf(c_169001,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ r2_hidden(X0,sK372(X0)) ),
inference(superposition,[status(thm)],[c_2248,c_431]) ).
tcf(c_169002,plain,
! [X0: $i] :
( v3_ordinal1(sK374(X0))
| ~ r2_hidden(X0,sK374(X0)) ),
inference(superposition,[status(thm)],[c_2253,c_431]) ).
tcf(c_169003,plain,
! [X0: $i] :
( v3_ordinal1(sK376(X0))
| ~ r2_hidden(X0,sK375(X0)) ),
inference(superposition,[status(thm)],[c_2257,c_431]) ).
tcf(c_169004,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ r2_hidden(X0,sK377(X0)) ),
inference(superposition,[status(thm)],[c_2259,c_431]) ).
tcf(c_169005,plain,
! [X0: $i] :
( v5_membered(k3_tarski(X0))
| ~ r2_hidden(X0,sK381(X0)) ),
inference(superposition,[status(thm)],[c_2332,c_431]) ).
tcf(c_169006,plain,
! [X0: $i] :
( ~ v1_xreal_0(X0)
| ~ r2_hidden(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_2362,c_431]) ).
tcf(c_169007,plain,
! [X0: $i] :
( v1_realset1(X0)
| ~ r2_hidden(X0,sK484(X0)) ),
inference(superposition,[status(thm)],[c_3010,c_431]) ).
tcf(c_169008,plain,
! [X0: $i] :
( v1_realset1(X0)
| ~ r2_hidden(X0,sK485(X0)) ),
inference(superposition,[status(thm)],[c_3011,c_431]) ).
tcf(c_169009,plain,
! [X0: $i] :
( ~ v1_int_1(X0)
| ~ r2_hidden(k4_numbers,X0) ),
inference(superposition,[status(thm)],[c_3086,c_431]) ).
tcf(c_169010,plain,
! [X0: $i] :
( ~ v3_ordinal1(X0)
| ~ r2_hidden(sK503(X0),X0) ),
inference(superposition,[status(thm)],[c_3180,c_431]) ).
tcf(c_169011,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| ~ r2_hidden(X0,sK535(X0)) ),
inference(superposition,[status(thm)],[c_3401,c_431]) ).
tcf(c_169012,plain,
~ r2_hidden(k1_zfmisc_1(np__0),np__0),
inference(superposition,[status(thm)],[c_165607,c_431]) ).
tcf(c_169013,plain,
~ r2_hidden(k1_card_1(k1_zfmisc_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_164343,c_431]) ).
tcf(c_169014,plain,
! [X0: $i] : ~ r2_hidden(k2_xboole_0(X0,k1_zfmisc_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_165602,c_431]) ).
tcf(c_169015,plain,
~ r2_hidden(k2_finseq_1(np__1),np__1),
inference(superposition,[status(thm)],[c_168404,c_431]) ).
tcf(c_169104,plain,
~ v1_int_1(k3_numbers),
inference(superposition,[status(thm)],[c_3086,c_168797]) ).
tcf(c_169105,plain,
~ v4_membered(k1_zfmisc_1(k4_numbers)),
inference(superposition,[status(thm)],[c_2112,c_168846]) ).
tcf(c_169106,plain,
~ v3_membered(k1_zfmisc_1(k3_numbers)),
inference(superposition,[status(thm)],[c_2216,c_168846]) ).
tcf(c_169107,plain,
~ v2_membered(k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_2246,c_168846]) ).
tcf(c_169108,plain,
~ v5_membered(k1_zfmisc_1(k5_numbers)),
inference(superposition,[status(thm)],[c_2334,c_168846]) ).
tcf(c_169109,plain,
~ v1_membered(k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_3060,c_168846]) ).
tcf(c_169110,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_168861,c_78840,c_168861]) ).
tcf(c_169117,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_169110,c_100]) ).
tcf(c_169118,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_169110,c_78786]) ).
tcf(c_169158,plain,
! [X0: $i,X1: $i] : r1_tarski(X0,k2_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_546,c_540]) ).
tcf(c_169159,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k2_xboole_0(X1,X0)) = np__0,
inference(superposition,[status(thm)],[c_546,c_522]) ).
tcf(c_169164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_xboole_0(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3)) = k2_enumset1(X1,X2,X3,X0),
inference(superposition,[status(thm)],[c_546,c_53]) ).
tcf(c_169165,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k2_xboole_0(k2_tarski(X0,X0),X1)),
inference(superposition,[status(thm)],[c_546,c_489]) ).
tcf(c_169166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_xboole_0(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_546,c_501]) ).
tcf(c_169167,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)) = k2_zfmisc_1(X0,k2_xboole_0(X2,X1)),
inference(superposition,[status(thm)],[c_546,c_504]) ).
tcf(c_169168,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1)) = k2_zfmisc_1(k2_xboole_0(X2,X0),X1),
inference(superposition,[status(thm)],[c_546,c_503]) ).
tcf(c_169169,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1)) = k4_xboole_0(k2_xboole_0(X2,X0),X1),
inference(superposition,[status(thm)],[c_546,c_526]) ).
tcf(c_169170,plain,
! [X0: $i] : k2_xboole_0(np__0,X0) = X0,
inference(superposition,[status(thm)],[c_546,c_544]) ).
tcf(c_169171,plain,
! [X0: $i] : m1_subset_1(np__0,k2_xboole_0(k1_zfmisc_1(np__0),X0)),
inference(superposition,[status(thm)],[c_546,c_166359]) ).
tcf(c_169172,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(k1_zfmisc_1(np__0),X0)),
inference(superposition,[status(thm)],[c_546,c_166358]) ).
tcf(c_169173,plain,
! [X0: $i] : r2_hidden(np__0,k2_xboole_0(k1_zfmisc_1(np__0),X0)),
inference(superposition,[status(thm)],[c_546,c_165602]) ).
tcf(c_169183,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK122(X0)) ),
inference(superposition,[status(thm)],[c_654,c_431]) ).
tcf(c_169184,plain,
! [X0: $i] :
( r2_hidden(sK87(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_654,c_427]) ).
tcf(c_169186,plain,
! [X0: $i] :
( m1_subset_1(sK122(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_654,c_421]) ).
tcf(c_169187,plain,
! [X0: $i] :
( r1_tarski(sK122(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_654,c_126]) ).
tcf(c_169189,plain,
( v1_xreal_0(sK122(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_654,c_2361]) ).
tcf(c_169190,plain,
( v1_int_1(sK122(k4_numbers))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_654,c_3085]) ).
tcf(c_169208,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK124(X0)) ),
inference(superposition,[status(thm)],[c_660,c_431]) ).
tcf(c_169211,plain,
! [X0: $i] :
( m1_subset_1(sK124(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_660,c_421]) ).
tcf(c_169212,plain,
! [X0: $i] :
( r1_tarski(sK124(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_660,c_126]) ).
tcf(c_169214,plain,
( v1_xreal_0(sK124(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_660,c_2361]) ).
tcf(c_169215,plain,
( v1_int_1(sK124(k4_numbers))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_660,c_3085]) ).
tcf(c_169231,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK125(X0)) ),
inference(superposition,[status(thm)],[c_662,c_431]) ).
tcf(c_169234,plain,
! [X0: $i] :
( m1_subset_1(sK125(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_662,c_421]) ).
tcf(c_169235,plain,
! [X0: $i] :
( r1_tarski(sK125(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_662,c_126]) ).
tcf(c_169237,plain,
( v1_xreal_0(sK125(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_662,c_2361]) ).
tcf(c_169238,plain,
( v1_int_1(sK125(k4_numbers))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_662,c_3085]) ).
tcf(c_169251,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_53,c_169158]) ).
tcf(c_169252,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_501,c_169158]) ).
tcf(c_169253,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,k2_xboole_0(X2,X1))),
inference(superposition,[status(thm)],[c_504,c_169158]) ).
tcf(c_169254,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k2_xboole_0(X2,X0),X1)),
inference(superposition,[status(thm)],[c_503,c_169158]) ).
tcf(c_169255,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,X1),k4_xboole_0(k2_xboole_0(X2,X0),X1)),
inference(superposition,[status(thm)],[c_526,c_169158]) ).
tcf(c_169259,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(X0,X1),X1),
inference(superposition,[status(thm)],[c_169158,c_376]) ).
tcf(c_169262,plain,
r2_wellord2(k2_finseq_1(np__1),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_57872,c_168380]) ).
tcf(c_169286,plain,
! [X0: $i] : ~ r2_hidden(k2_tarski(np__1,X0),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_168386,c_376]) ).
tcf(c_169289,plain,
! [X0: $i] : ~ r2_hidden(k2_tarski(X0,np__1),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_168387,c_376]) ).
tcf(c_169296,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_169118,c_78840,c_169118]) ).
tcf(c_169303,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_169296,c_100]) ).
tcf(c_169304,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_169296,c_78786]) ).
tcf(c_169316,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK126(X0)) ),
inference(superposition,[status(thm)],[c_664,c_431]) ).
tcf(c_169319,plain,
! [X0: $i] :
( m1_subset_1(sK126(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_664,c_421]) ).
tcf(c_169320,plain,
! [X0: $i] :
( r1_tarski(sK126(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_664,c_126]) ).
tcf(c_169322,plain,
( v1_xreal_0(sK126(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_664,c_2361]) ).
tcf(c_169323,plain,
( v1_int_1(sK126(k4_numbers))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_664,c_3085]) ).
tcf(c_169339,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK127(X0)) ),
inference(superposition,[status(thm)],[c_666,c_431]) ).
tcf(c_169342,plain,
! [X0: $i] :
( m1_subset_1(sK127(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_666,c_421]) ).
tcf(c_169343,plain,
! [X0: $i] :
( r1_tarski(sK127(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_666,c_126]) ).
tcf(c_169345,plain,
( v1_xreal_0(sK127(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_666,c_2361]) ).
tcf(c_169346,plain,
( v1_int_1(sK127(k4_numbers))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_666,c_3085]) ).
tcf(c_169362,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK128(X0)) ),
inference(superposition,[status(thm)],[c_668,c_431]) ).
tcf(c_169365,plain,
! [X0: $i] :
( m1_subset_1(sK128(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_668,c_421]) ).
tcf(c_169366,plain,
! [X0: $i] :
( r1_tarski(sK128(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_668,c_126]) ).
tcf(c_169368,plain,
( v1_xreal_0(sK128(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_668,c_2361]) ).
tcf(c_169369,plain,
( v1_int_1(sK128(k4_numbers))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_668,c_3085]) ).
tcf(c_169385,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK129(X0)) ),
inference(superposition,[status(thm)],[c_670,c_431]) ).
tcf(c_169388,plain,
! [X0: $i] :
( m1_subset_1(sK129(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_670,c_421]) ).
tcf(c_169389,plain,
! [X0: $i] :
( r1_tarski(sK129(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_670,c_126]) ).
tcf(c_169391,plain,
( v1_xreal_0(sK129(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_670,c_2361]) ).
tcf(c_169392,plain,
( v1_int_1(sK129(k4_numbers))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_670,c_3085]) ).
tcf(c_169444,plain,
! [X0: $i] : r2_hidden(np__1,k2_xboole_0(k2_finseq_1(np__1),X0)),
inference(superposition,[status(thm)],[c_546,c_168396]) ).
tcf(c_169445,plain,
! [X0: $i] : ~ r2_hidden(k2_xboole_0(X0,k2_finseq_1(np__1)),np__1),
inference(superposition,[status(thm)],[c_168396,c_431]) ).
tcf(c_169446,plain,
! [X0: $i] : r2_hidden(sK87(k2_xboole_0(X0,k2_finseq_1(np__1))),k2_xboole_0(X0,k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_168396,c_427]) ).
tcf(c_169447,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(X0,k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_168396,c_426]) ).
tcf(c_169448,plain,
! [X0: $i] : m1_subset_1(np__1,k2_xboole_0(X0,k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_168396,c_421]) ).
tcf(c_169462,plain,
v2_membered(k2_relat_1(sK146(k1_numbers,np__0))),
inference(superposition,[status(thm)],[c_843,c_168441]) ).
tcf(c_169463,plain,
! [X0: $i] : v2_membered(k4_xboole_0(k1_numbers,X0)),
inference(superposition,[status(thm)],[c_1147,c_168441]) ).
tcf(c_169468,plain,
v2_membered(k1_setfam_1(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_164196,c_168441]) ).
tcf(c_169474,plain,
! [X0: $i] : v1_membered(k4_xboole_0(k1_numbers,X0)),
inference(superposition,[status(thm)],[c_169463,c_1773]) ).
tcf(c_169476,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_169304,c_78840,c_169304]) ).
tcf(c_169483,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_169476,c_100]) ).
tcf(c_169484,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_169476,c_78786]) ).
tcf(c_169496,plain,
! [X0: $i] :
( r1_xboole_0(X0,sK129(X0))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_671,c_727]) ).
tcf(c_169503,plain,
! [X0: $i] :
( r2_hidden(np__0,X0)
| r1_xboole_0(k1_zfmisc_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_1112,c_687]) ).
tcf(c_169504,plain,
! [X0: $i] :
( r2_hidden(np__1,X0)
| r1_xboole_0(k2_finseq_1(np__1),X0) ),
inference(superposition,[status(thm)],[c_57872,c_687]) ).
tcf(c_169505,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| r1_xboole_0(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_687,c_727]) ).
tcf(c_169518,plain,
~ r1_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_1112,c_691]) ).
tcf(c_169519,plain,
~ r1_xboole_0(k2_finseq_1(np__1),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_57872,c_691]) ).
tcf(c_169524,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tarski(X0,X0))
| ( k2_tarski(X0,X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_687,c_723]) ).
tcf(c_169528,plain,
v1_membered(k1_setfam_1(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_169468,c_1773]) ).
tcf(c_169532,plain,
v1_membered(k2_relat_1(sK146(k1_numbers,np__0))),
inference(superposition,[status(thm)],[c_169462,c_1773]) ).
tcf(c_169553,plain,
v5_membered(k2_relat_1(sK146(k5_numbers,np__0))),
inference(superposition,[status(thm)],[c_843,c_168443]) ).
tcf(c_169554,plain,
! [X0: $i] : v5_membered(k4_xboole_0(k5_numbers,X0)),
inference(superposition,[status(thm)],[c_1147,c_168443]) ).
tcf(c_169556,plain,
v5_membered(k1_setfam_1(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_164196,c_168443]) ).
tcf(c_169562,plain,
! [X0: $i] : v3_membered(k4_xboole_0(k5_numbers,X0)),
inference(superposition,[status(thm)],[c_169554,c_166873]) ).
tcf(c_169563,plain,
! [X0: $i] : v2_membered(k4_xboole_0(k5_numbers,X0)),
inference(superposition,[status(thm)],[c_169554,c_166862]) ).
tcf(c_169564,plain,
! [X0: $i] : v1_membered(k4_xboole_0(k5_numbers,X0)),
inference(superposition,[status(thm)],[c_169554,c_166852]) ).
tcf(c_169565,plain,
! [X0: $i] : v4_membered(k4_xboole_0(k5_numbers,X0)),
inference(superposition,[status(thm)],[c_169554,c_2214]) ).
tcf(c_169570,plain,
v3_membered(k1_setfam_1(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_169556,c_166873]) ).
tcf(c_169571,plain,
v2_membered(k1_setfam_1(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_169556,c_166862]) ).
tcf(c_169572,plain,
v1_membered(k1_setfam_1(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_169556,c_166852]) ).
tcf(c_169573,plain,
v4_membered(k1_setfam_1(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_169556,c_2214]) ).
tcf(c_169586,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_169484,c_78840,c_169484]) ).
tcf(c_169593,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_169586,c_100]) ).
tcf(c_169594,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_169586,c_78786]) ).
tcf(c_169606,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ~ r2_hidden(X0,sK131(X0,X1)) ),
inference(superposition,[status(thm)],[c_732,c_431]) ).
tcf(c_169607,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_732,c_427]) ).
tcf(c_169608,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_732,c_426]) ).
tcf(c_169609,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| m1_subset_1(sK131(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_732,c_421]) ).
tcf(c_169610,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k1_zfmisc_1(X0),X1)
| r1_tarski(sK131(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_732,c_126]) ).
tcf(c_169612,plain,
! [X0: $i] :
( r1_xboole_0(k1_numbers,X0)
| v1_xreal_0(sK131(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_732,c_2361]) ).
tcf(c_169613,plain,
! [X0: $i] :
( r1_xboole_0(k4_numbers,X0)
| v1_int_1(sK131(k4_numbers,X0)) ),
inference(superposition,[status(thm)],[c_732,c_3085]) ).
tcf(c_169635,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| ~ r2_hidden(X0,sK131(X1,X0)) ),
inference(superposition,[status(thm)],[c_733,c_431]) ).
tcf(c_169636,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_733,c_427]) ).
tcf(c_169637,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_733,c_426]) ).
tcf(c_169638,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| m1_subset_1(sK131(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_733,c_421]) ).
tcf(c_169639,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,k1_zfmisc_1(X1))
| r1_tarski(sK131(X0,k1_zfmisc_1(X1)),X1) ),
inference(superposition,[status(thm)],[c_733,c_126]) ).
tcf(c_169641,plain,
! [X0: $i] :
( r1_xboole_0(X0,k1_numbers)
| v1_xreal_0(sK131(X0,k1_numbers)) ),
inference(superposition,[status(thm)],[c_733,c_2361]) ).
tcf(c_169642,plain,
! [X0: $i] :
( r1_xboole_0(X0,k4_numbers)
| v1_int_1(sK131(X0,k4_numbers)) ),
inference(superposition,[status(thm)],[c_733,c_3085]) ).
tcf(c_169664,plain,
! [X0: $i] :
( v1_finset_1(sK137(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_774,c_789]) ).
tcf(c_169684,plain,
v3_membered(k2_relat_1(sK146(k5_numbers,np__0))),
inference(superposition,[status(thm)],[c_169553,c_166873]) ).
tcf(c_169685,plain,
v2_membered(k2_relat_1(sK146(k5_numbers,np__0))),
inference(superposition,[status(thm)],[c_169553,c_166862]) ).
tcf(c_169686,plain,
v1_membered(k2_relat_1(sK146(k5_numbers,np__0))),
inference(superposition,[status(thm)],[c_169553,c_166852]) ).
tcf(c_169687,plain,
v4_membered(k2_relat_1(sK146(k5_numbers,np__0))),
inference(superposition,[status(thm)],[c_169553,c_2214]) ).
tcf(c_169716,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_169594,c_78840,c_169594]) ).
tcf(c_169723,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_169716,c_100]) ).
tcf(c_169724,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_169716,c_78786]) ).
tcf(c_169778,plain,
v4_membered(k2_relat_1(sK146(k4_numbers,np__0))),
inference(superposition,[status(thm)],[c_843,c_168448]) ).
tcf(c_169779,plain,
! [X0: $i] : v4_membered(k4_xboole_0(k4_numbers,X0)),
inference(superposition,[status(thm)],[c_1147,c_168448]) ).
tcf(c_169782,plain,
v4_membered(k1_setfam_1(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_164196,c_168448]) ).
tcf(c_169788,plain,
! [X0: $i] : v2_membered(k4_xboole_0(k4_numbers,X0)),
inference(superposition,[status(thm)],[c_169779,c_166995]) ).
tcf(c_169789,plain,
! [X0: $i] : v1_membered(k4_xboole_0(k4_numbers,X0)),
inference(superposition,[status(thm)],[c_169779,c_166985]) ).
tcf(c_169790,plain,
! [X0: $i] : v3_membered(k4_xboole_0(k4_numbers,X0)),
inference(superposition,[status(thm)],[c_169779,c_2213]) ).
tcf(c_169794,plain,
v2_membered(k1_setfam_1(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_169782,c_166995]) ).
tcf(c_169795,plain,
v1_membered(k1_setfam_1(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_169782,c_166985]) ).
tcf(c_169796,plain,
v3_membered(k1_setfam_1(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_169782,c_2213]) ).
tcf(c_169812,plain,
v2_membered(k2_relat_1(sK146(k4_numbers,np__0))),
inference(superposition,[status(thm)],[c_169778,c_166995]) ).
tcf(c_169813,plain,
v1_membered(k2_relat_1(sK146(k4_numbers,np__0))),
inference(superposition,[status(thm)],[c_169778,c_166985]) ).
tcf(c_169814,plain,
v3_membered(k2_relat_1(sK146(k4_numbers,np__0))),
inference(superposition,[status(thm)],[c_169778,c_2213]) ).
tcf(c_169815,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_169724,c_78840,c_169724]) ).
tcf(c_169822,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_169815,c_100]) ).
tcf(c_169823,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_169815,c_78786]) ).
tcf(c_169837,plain,
( sP7(sK336)
| ~ sP8(sK336) ),
inference(superposition,[status(thm)],[c_1832,c_920]) ).
tcf(c_169838,plain,
! [X0: $i] :
( sP7(k6_partfun1(X0))
| ~ sP8(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2816,c_920]) ).
tcf(c_169839,plain,
( sP7(np__0)
| ~ sP8(np__0) ),
inference(superposition,[status(thm)],[c_163771,c_920]) ).
tcf(c_169840,plain,
! [X0: $i] :
( sP7(k1_relat_1(X0))
| ~ v1_xboole_0(X0)
| ~ sP8(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_164049,c_920]) ).
tcf(c_169841,plain,
! [X0: $i] :
( sP7(k2_relat_1(X0))
| ~ v1_xboole_0(X0)
| ~ sP8(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_164096,c_920]) ).
tcf(c_169842,plain,
! [X0: $i] :
( sP7(k4_relat_1(X0))
| ~ v1_xboole_0(X0)
| ~ sP8(k4_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_164862,c_920]) ).
tcf(c_169906,plain,
( sP8(sK90)
| ~ v1_funct_1(sK90) ),
inference(superposition,[status(thm)],[c_437,c_931]) ).
tcf(c_169907,plain,
( sP8(np__0)
| ~ v1_funct_1(np__0) ),
inference(superposition,[status(thm)],[c_2077,c_931]) ).
tcf(c_169908,plain,
! [X0: $i,X1: $i] :
( sP8(k2_zfmisc_1(X0,X1))
| ~ v1_funct_1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_623,c_931]) ).
tcf(c_169909,plain,
( sP8(sK119)
| ~ v1_funct_1(sK119) ),
inference(superposition,[status(thm)],[c_633,c_931]) ).
tcf(c_169910,plain,
! [X0: $i] :
( sP8(sK121(X0))
| ( X0 = np__0 )
| ~ v1_funct_1(sK121(X0)) ),
inference(superposition,[status(thm)],[c_650,c_931]) ).
tcf(c_169911,plain,
! [X0: $i] :
( sP8(sK120(X0))
| ( X0 = np__0 )
| ~ v1_funct_1(sK120(X0)) ),
inference(superposition,[status(thm)],[c_652,c_931]) ).
tcf(c_169912,plain,
( sP8(sK138)
| ~ v1_funct_1(sK138) ),
inference(superposition,[status(thm)],[c_781,c_931]) ).
tcf(c_169913,plain,
! [X0: $i,X1: $i] :
( sP8(sK146(X0,X1))
| ( X0 = np__0 )
| ~ v1_funct_1(sK146(X0,X1)) ),
inference(superposition,[status(thm)],[c_840,c_931]) ).
tcf(c_169914,plain,
! [X0: $i] :
( sP8(sK146(X0,np__0))
| ~ v1_funct_1(sK146(X0,np__0)) ),
inference(superposition,[status(thm)],[c_844,c_931]) ).
tcf(c_169915,plain,
! [X0: $i,X1: $i] :
( sP8(sK147(X0,X1))
| ( X0 = np__0 )
| ~ v1_funct_1(sK147(X0,X1)) ),
inference(superposition,[status(thm)],[c_847,c_931]) ).
tcf(c_169916,plain,
! [X0: $i] :
( sP8(k1_relat_1(X0))
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_873,c_931]) ).
tcf(c_169919,plain,
! [X0: $i] :
( sP8(k2_relat_1(X0))
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1007,c_931]) ).
tcf(c_169920,plain,
! [X0: $i,X1: $i] :
( sP8(k4_xboole_0(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1124,c_931]) ).
tcf(c_169921,plain,
! [X0: $i,X1: $i] :
( sP8(k1_realset1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(k1_realset1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1593,c_931]) ).
tcf(c_169922,plain,
! [X0: $i,X1: $i] :
( sP8(sK276(X0,X1))
| ~ v1_funct_1(sK276(X0,X1)) ),
inference(superposition,[status(thm)],[c_1615,c_931]) ).
tcf(c_169923,plain,
! [X0: $i,X1: $i] :
( sP8(sK277(X0,X1))
| ~ v1_funct_1(sK277(X0,X1)) ),
inference(superposition,[status(thm)],[c_1619,c_931]) ).
tcf(c_169924,plain,
( sP8(sK336)
| ~ v1_funct_1(sK336) ),
inference(superposition,[status(thm)],[c_1830,c_931]) ).
tcf(c_169925,plain,
! [X0: $i,X1: $i] :
( sP8(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(k7_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1905,c_931]) ).
tcf(c_169926,plain,
! [X0: $i] :
( sP8(sK356(X0))
| ~ v1_finset_1(X0)
| ~ v1_funct_1(sK356(X0)) ),
inference(superposition,[status(thm)],[c_2069,c_931]) ).
tcf(c_169927,plain,
( sP8(sK357)
| ~ v1_funct_1(sK357) ),
inference(superposition,[status(thm)],[c_2081,c_931]) ).
tcf(c_169928,plain,
! [X0: $i] :
( sP8(sK358(X0))
| ~ v1_funct_1(sK358(X0)) ),
inference(superposition,[status(thm)],[c_2086,c_931]) ).
tcf(c_169929,plain,
( sP8(sK359)
| ~ v1_funct_1(sK359) ),
inference(superposition,[status(thm)],[c_2091,c_931]) ).
tcf(c_169930,plain,
! [X0: $i] :
( sP8(k6_partfun1(X0))
| ~ v1_funct_1(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2834,c_931]) ).
tcf(c_169931,plain,
! [X0: $i,X1: $i] :
( sP8(k8_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(k8_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_3870,c_931]) ).
tcf(c_169932,plain,
! [X0: $i] :
( sP8(k4_relat_1(X0))
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(k4_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3937,c_931]) ).
tcf(c_169933,plain,
! [X0: $i] :
( sP8(k4_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(k4_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3921,c_931]) ).
tcf(c_169934,plain,
sP8(sK359),
inference(forward_subsumption_resolution,[status(thm)],[c_169929,c_2092]) ).
tcf(c_169935,plain,
sP8(sK357),
inference(forward_subsumption_resolution,[status(thm)],[c_169927,c_2082]) ).
tcf(c_169936,plain,
sP8(sK336),
inference(forward_subsumption_resolution,[status(thm)],[c_169924,c_1831]) ).
tcf(c_169937,plain,
sP8(sK138),
inference(forward_subsumption_resolution,[status(thm)],[c_169912,c_782]) ).
tcf(c_169938,plain,
sP8(sK119),
inference(forward_subsumption_resolution,[status(thm)],[c_169909,c_634]) ).
tcf(c_169939,plain,
sP8(np__0),
inference(forward_subsumption_resolution,[status(thm)],[c_169907,c_2078]) ).
tcf(c_169942,plain,
! [X0: $i] : sP8(k6_partfun1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_169930,c_2833]) ).
tcf(c_169943,plain,
! [X0: $i] : sP8(sK358(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_169928,c_2087]) ).
tcf(c_169944,plain,
! [X0: $i,X1: $i] : sP8(sK277(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_169923,c_1620]) ).
tcf(c_169945,plain,
! [X0: $i,X1: $i] : sP8(sK276(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_169922,c_1616]) ).
tcf(c_169952,plain,
! [X0: $i] : sP8(sK146(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_169914,c_845]) ).
tcf(c_170013,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_169823,c_78840,c_169823]) ).
tcf(c_170020,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170013,c_100]) ).
tcf(c_170021,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_170013,c_78786]) ).
tcf(c_170033,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK182(X0)) ),
inference(superposition,[status(thm)],[c_1014,c_431]) ).
tcf(c_170036,plain,
! [X0: $i] :
( m1_subset_1(sK182(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_1014,c_421]) ).
tcf(c_170037,plain,
! [X0: $i] :
( r1_tarski(sK182(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_1014,c_126]) ).
tcf(c_170039,plain,
( v1_xreal_0(sK182(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_1014,c_2361]) ).
tcf(c_170040,plain,
( v1_int_1(sK182(k4_numbers))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_1014,c_3085]) ).
tcf(c_170058,plain,
! [X0: $i] :
( sP9(X0)
| v1_relat_1(X0)
| ~ r2_hidden(X0,sK188(X0)) ),
inference(superposition,[status(thm)],[c_1024,c_431]) ).
tcf(c_170061,plain,
! [X0: $i] :
( sP9(X0)
| v1_relat_1(X0)
| m1_subset_1(sK188(X0),X0) ),
inference(superposition,[status(thm)],[c_1024,c_421]) ).
tcf(c_170062,plain,
! [X0: $i] :
( sP9(k1_zfmisc_1(X0))
| v1_relat_1(k1_zfmisc_1(X0))
| r1_tarski(sK188(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1024,c_126]) ).
tcf(c_170064,plain,
( sP9(k1_numbers)
| v1_relat_1(k1_numbers)
| v1_xreal_0(sK188(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1024,c_2361]) ).
tcf(c_170065,plain,
( sP9(k4_numbers)
| v1_relat_1(k4_numbers)
| v1_int_1(sK188(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1024,c_3085]) ).
tcf(c_170088,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| ~ r2_hidden(X0,sK188(X0)) ),
inference(superposition,[status(thm)],[c_1026,c_431]) ).
tcf(c_170089,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_1026,c_427]) ).
tcf(c_170091,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| m1_subset_1(sK188(X0),X0) ),
inference(superposition,[status(thm)],[c_1026,c_421]) ).
tcf(c_170092,plain,
! [X0: $i] :
( sP9(k1_zfmisc_1(X0))
| v1_funct_1(k1_zfmisc_1(X0))
| r1_tarski(sK188(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1026,c_126]) ).
tcf(c_170094,plain,
( sP9(k1_numbers)
| v1_funct_1(k1_numbers)
| v1_xreal_0(sK188(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1026,c_2361]) ).
tcf(c_170095,plain,
( sP9(k4_numbers)
| v1_funct_1(k4_numbers)
| v1_int_1(sK188(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1026,c_3085]) ).
tcf(c_170121,plain,
sP7(sK336),
inference(global_subsumption_just,[status(thm)],[c_169837,c_169837,c_169936]) ).
tcf(c_170124,plain,
sP7(np__0),
inference(global_subsumption_just,[status(thm)],[c_169839,c_2078,c_2077,c_4088,c_4396,c_4399,c_4613]) ).
tcf(c_170173,plain,
v3_membered(k2_relat_1(sK146(k3_numbers,np__0))),
inference(superposition,[status(thm)],[c_843,c_168452]) ).
tcf(c_170174,plain,
! [X0: $i] : v3_membered(k4_xboole_0(k3_numbers,X0)),
inference(superposition,[status(thm)],[c_1147,c_168452]) ).
tcf(c_170178,plain,
v3_membered(k1_setfam_1(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_164196,c_168452]) ).
tcf(c_170184,plain,
! [X0: $i] : v1_membered(k4_xboole_0(k3_numbers,X0)),
inference(superposition,[status(thm)],[c_170174,c_166401]) ).
tcf(c_170185,plain,
! [X0: $i] : v2_membered(k4_xboole_0(k3_numbers,X0)),
inference(superposition,[status(thm)],[c_170174,c_2227]) ).
tcf(c_170188,plain,
v1_membered(k1_setfam_1(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_170178,c_166401]) ).
tcf(c_170189,plain,
v2_membered(k1_setfam_1(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_170178,c_2227]) ).
tcf(c_170193,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_170021,c_78840,c_170021]) ).
tcf(c_170200,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170193,c_100]) ).
tcf(c_170201,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_170193,c_78786]) ).
tcf(c_170211,plain,
! [X0: $i] : ~ r2_hidden(np__0,k4_xboole_0(X0,k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_1112,c_1138]) ).
tcf(c_170212,plain,
! [X0: $i] : ~ r2_hidden(np__1,k4_xboole_0(X0,k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_57872,c_1138]) ).
tcf(c_170219,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X1,X2))
| ~ r2_hidden(X0,k2_tarski(X1,X2)) ),
inference(superposition,[status(thm)],[c_49,c_1193]) ).
tcf(c_170222,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(k3_tarski(X0),X1) ),
inference(superposition,[status(thm)],[c_1193,c_376]) ).
tcf(c_170232,plain,
! [X0: $i] :
( r1_tarski(k2_finseq_1(X0),k5_numbers)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_1231,c_100]) ).
tcf(c_170233,plain,
! [X0: $i] :
( v5_membered(k2_finseq_1(X0))
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_1231,c_2202]) ).
tcf(c_170234,plain,
! [X0: $i] :
( v4_membered(k2_finseq_1(X0))
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_1231,c_2201]) ).
tcf(c_170235,plain,
! [X0: $i] :
( v3_membered(k2_finseq_1(X0))
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_1231,c_2200]) ).
tcf(c_170236,plain,
! [X0: $i] :
( v2_membered(k2_finseq_1(X0))
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_1231,c_2199]) ).
tcf(c_170237,plain,
! [X0: $i] :
( v1_membered(k2_finseq_1(X0))
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_1231,c_2198]) ).
tcf(c_170262,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK254(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1266,c_1287]) ).
tcf(c_170263,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_int_1(sK254(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1266,c_1286]) ).
tcf(c_170275,plain,
v1_membered(k2_relat_1(sK146(k3_numbers,np__0))),
inference(superposition,[status(thm)],[c_170173,c_166401]) ).
tcf(c_170276,plain,
v2_membered(k2_relat_1(sK146(k3_numbers,np__0))),
inference(superposition,[status(thm)],[c_170173,c_2227]) ).
tcf(c_170310,plain,
v1_membered(k2_relat_1(sK146(k2_numbers,np__0))),
inference(superposition,[status(thm)],[c_843,c_168455]) ).
tcf(c_170311,plain,
! [X0: $i] : v1_membered(k4_xboole_0(k2_numbers,X0)),
inference(superposition,[status(thm)],[c_1147,c_168455]) ).
tcf(c_170317,plain,
v1_membered(k1_setfam_1(k1_zfmisc_1(k2_numbers))),
inference(superposition,[status(thm)],[c_164196,c_168455]) ).
tcf(c_170323,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_170201,c_78840,c_170201]) ).
tcf(c_170330,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170323,c_100]) ).
tcf(c_170331,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_170323,c_78786]) ).
tcf(c_170347,plain,
! [X0: $i] :
( v1_finset_1(sK257(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1305,c_789]) ).
tcf(c_170363,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK54(X0)) ),
inference(superposition,[status(thm)],[c_168498,c_376]) ).
tcf(c_170386,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK141(X0)) ),
inference(superposition,[status(thm)],[c_168499,c_376]) ).
tcf(c_170409,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK142(X0)) ),
inference(superposition,[status(thm)],[c_168500,c_376]) ).
tcf(c_170428,plain,
! [X0: $i] : ~ r2_hidden(sK373(k1_zfmisc_1(k3_tarski(X0))),X0),
inference(superposition,[status(thm)],[c_1193,c_168712]) ).
tcf(c_170429,plain,
~ v4_membered(sK373(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_2112,c_168712]) ).
tcf(c_170430,plain,
~ v3_membered(sK373(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_2216,c_168712]) ).
tcf(c_170431,plain,
~ v2_membered(sK373(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_2246,c_168712]) ).
tcf(c_170432,plain,
~ v5_membered(sK373(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_2334,c_168712]) ).
tcf(c_170433,plain,
~ v1_membered(sK373(k1_zfmisc_1(k2_numbers))),
inference(superposition,[status(thm)],[c_3060,c_168712]) ).
tcf(c_170435,plain,
! [X0: $i] : ~ r2_hidden(sK546(k1_zfmisc_1(k3_tarski(X0))),X0),
inference(superposition,[status(thm)],[c_1193,c_168714]) ).
tcf(c_170436,plain,
~ v4_membered(sK546(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_2112,c_168714]) ).
tcf(c_170437,plain,
~ v3_membered(sK546(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_2216,c_168714]) ).
tcf(c_170438,plain,
~ v2_membered(sK546(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_2246,c_168714]) ).
tcf(c_170439,plain,
~ v5_membered(sK546(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_2334,c_168714]) ).
tcf(c_170440,plain,
~ v1_membered(sK546(k1_zfmisc_1(k2_numbers))),
inference(superposition,[status(thm)],[c_3060,c_168714]) ).
tcf(c_170442,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_170331,c_78840,c_170331]) ).
tcf(c_170449,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170442,c_100]) ).
tcf(c_170450,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_170442,c_78786]) ).
tcf(c_170474,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),X1),X0),
inference(superposition,[status(thm)],[c_125,c_168776]) ).
tcf(c_170475,plain,
! [X0: $i] : ~ v1_xreal_0(k2_xboole_0(k1_numbers,X0)),
inference(superposition,[status(thm)],[c_2362,c_168776]) ).
tcf(c_170476,plain,
! [X0: $i] : ~ v1_int_1(k2_xboole_0(k4_numbers,X0)),
inference(superposition,[status(thm)],[c_3086,c_168776]) ).
tcf(c_170478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k2_enumset1(X0,X1,X2,X3),k2_enumset1(X0,X0,X1,X2)),
inference(superposition,[status(thm)],[c_53,c_168776]) ).
tcf(c_170479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)),k2_zfmisc_1(k4_xboole_0(X0,X2),X1)),
inference(superposition,[status(thm)],[c_501,c_168776]) ).
tcf(c_170480,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_zfmisc_1(X0,k2_xboole_0(X1,X2)),k2_zfmisc_1(X0,X1)),
inference(superposition,[status(thm)],[c_504,c_168776]) ).
tcf(c_170481,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_zfmisc_1(k2_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,X2)),
inference(superposition,[status(thm)],[c_503,c_168776]) ).
tcf(c_170482,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k4_xboole_0(k2_xboole_0(X0,X1),X2),k4_xboole_0(X0,X2)),
inference(superposition,[status(thm)],[c_526,c_168776]) ).
tcf(c_170497,plain,
! [X0: $i] : ~ v1_xreal_0(k2_xboole_0(X0,k1_numbers)),
inference(superposition,[status(thm)],[c_546,c_170475]) ).
tcf(c_170502,plain,
! [X0: $i] : ~ v1_int_1(k2_xboole_0(X0,k4_numbers)),
inference(superposition,[status(thm)],[c_546,c_170476]) ).
tcf(c_170510,plain,
~ r2_hidden(k1_zfmisc_1(np__0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_47208,c_168777]) ).
tcf(c_170514,plain,
~ r2_hidden(np__0,np__0),
inference(superposition,[status(thm)],[c_1152,c_168780]) ).
tcf(c_170515,plain,
! [X0: $i] : ~ r1_tarski(k1_zfmisc_1(k3_tarski(k1_zfmisc_1(X0))),X0),
inference(superposition,[status(thm)],[c_125,c_168781]) ).
tcf(c_170516,plain,
~ v1_xreal_0(k1_zfmisc_1(k3_tarski(k1_numbers))),
inference(superposition,[status(thm)],[c_2362,c_168781]) ).
tcf(c_170517,plain,
~ v1_int_1(k1_zfmisc_1(k3_tarski(k4_numbers))),
inference(superposition,[status(thm)],[c_3086,c_168781]) ).
tcf(c_170518,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k2_xboole_0(X0,X1)),k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_49,c_168781]) ).
tcf(c_170519,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_1185,c_168781]) ).
tcf(c_170523,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_170450,c_78840,c_170450]) ).
tcf(c_170530,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170523,c_100]) ).
tcf(c_170531,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_170523,c_78786]) ).
tcf(c_170555,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_49,c_168801]) ).
tcf(c_170557,plain,
~ r2_hidden(np__0,k1_setfam_1(np__0)),
inference(superposition,[status(thm)],[c_1196,c_168801]) ).
tcf(c_170558,plain,
! [X0: $i] : ~ r2_hidden(k3_tarski(k2_tarski(X0,X0)),X0),
inference(superposition,[status(thm)],[c_3403,c_168801]) ).
tcf(c_170559,plain,
~ r2_hidden(k3_tarski(np__0),np__0),
inference(superposition,[status(thm)],[c_3421,c_168801]) ).
tcf(c_170560,plain,
~ r2_hidden(k3_tarski(k1_zfmisc_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_168212,c_168801]) ).
tcf(c_170561,plain,
~ r2_hidden(k3_tarski(k2_finseq_1(np__1)),np__1),
inference(superposition,[status(thm)],[c_168377,c_168801]) ).
tcf(c_170564,plain,
~ r2_hidden(k2_xboole_0(np__1,np__1),np__1),
inference(light_normalisation,[status(thm)],[c_170561,c_168375]) ).
tcf(c_170565,plain,
~ r2_hidden(k2_xboole_0(np__0,np__0),np__0),
inference(light_normalisation,[status(thm)],[c_170560,c_165601]) ).
tcf(c_170593,plain,
! [X0: $i] : ~ v1_xboole_0(sK373(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_168873,c_168712]) ).
tcf(c_170595,plain,
! [X0: $i] : ~ v1_xboole_0(sK546(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_168873,c_168714]) ).
tcf(c_170602,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ r2_hidden(X0,sK87(X0)) ),
inference(superposition,[status(thm)],[c_168899,c_431]) ).
tcf(c_170605,plain,
! [X0: $i] :
( v1_relat_1(X0)
| m1_subset_1(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_168899,c_421]) ).
tcf(c_170606,plain,
! [X0: $i] :
( v1_relat_1(k1_zfmisc_1(X0))
| r1_tarski(sK87(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_168899,c_126]) ).
tcf(c_170608,plain,
( v1_relat_1(k1_numbers)
| v1_xreal_0(sK87(k1_numbers)) ),
inference(superposition,[status(thm)],[c_168899,c_2361]) ).
tcf(c_170609,plain,
( v1_relat_1(k4_numbers)
| v1_int_1(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_168899,c_3085]) ).
tcf(c_170625,plain,
( v1_relat_1(k1_numbers)
| v1_xcmplx_0(sK87(k1_numbers)) ),
inference(superposition,[status(thm)],[c_170608,c_1732]) ).
tcf(c_170632,plain,
( v1_relat_1(k4_numbers)
| v1_xreal_0(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170609,c_1725]) ).
tcf(c_170633,plain,
( v1_relat_1(k4_numbers)
| v1_xcmplx_0(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170609,c_1724]) ).
tcf(c_170638,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_170531,c_78840,c_170531]) ).
tcf(c_170645,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170638,c_100]) ).
tcf(c_170646,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_170638,c_78786]) ).
tcf(c_170687,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ r2_hidden(X0,sK87(X0)) ),
inference(superposition,[status(thm)],[c_168905,c_431]) ).
tcf(c_170690,plain,
! [X0: $i] :
( v5_membered(X0)
| m1_subset_1(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_168905,c_421]) ).
tcf(c_170691,plain,
! [X0: $i] :
( v5_membered(k1_zfmisc_1(X0))
| r1_tarski(sK87(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_168905,c_126]) ).
tcf(c_170693,plain,
( v5_membered(k1_numbers)
| v1_xreal_0(sK87(k1_numbers)) ),
inference(superposition,[status(thm)],[c_168905,c_2361]) ).
tcf(c_170694,plain,
( v5_membered(k4_numbers)
| v1_int_1(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_168905,c_3085]) ).
tcf(c_170710,plain,
( v5_membered(k1_numbers)
| v1_xcmplx_0(sK87(k1_numbers)) ),
inference(superposition,[status(thm)],[c_170693,c_1732]) ).
tcf(c_170717,plain,
( v5_membered(k4_numbers)
| v1_xreal_0(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170694,c_1725]) ).
tcf(c_170718,plain,
( v5_membered(k4_numbers)
| v1_xcmplx_0(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170694,c_1724]) ).
tcf(c_170740,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ r2_hidden(X0,sK87(X0)) ),
inference(superposition,[status(thm)],[c_168906,c_431]) ).
tcf(c_170743,plain,
! [X0: $i] :
( v1_membered(X0)
| m1_subset_1(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_168906,c_421]) ).
tcf(c_170744,plain,
! [X0: $i] :
( v1_membered(k1_zfmisc_1(X0))
| r1_tarski(sK87(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_168906,c_126]) ).
tcf(c_170758,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ r2_hidden(X0,sK87(X0)) ),
inference(superposition,[status(thm)],[c_168910,c_431]) ).
tcf(c_170761,plain,
! [X0: $i] :
( v4_membered(X0)
| m1_subset_1(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_168910,c_421]) ).
tcf(c_170762,plain,
! [X0: $i] :
( v4_membered(k1_zfmisc_1(X0))
| r1_tarski(sK87(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_168910,c_126]) ).
tcf(c_170764,plain,
( v4_membered(k1_numbers)
| v1_xreal_0(sK87(k1_numbers)) ),
inference(superposition,[status(thm)],[c_168910,c_2361]) ).
tcf(c_170779,plain,
( v4_membered(k1_numbers)
| v1_xcmplx_0(sK87(k1_numbers)) ),
inference(superposition,[status(thm)],[c_170764,c_1732]) ).
tcf(c_170782,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_170646,c_78840,c_170646]) ).
tcf(c_170789,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170782,c_100]) ).
tcf(c_170790,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_170782,c_78786]) ).
tcf(c_170816,plain,
( r1_tarski(np__0,np__0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_1910,c_1929]) ).
tcf(c_170817,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X0,k7_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1929,c_376]) ).
tcf(c_170819,plain,
! [X0: $i] :
( v1_membered(k7_relat_1(k4_numbers,X0))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_1929,c_168451]) ).
tcf(c_170820,plain,
! [X0: $i] :
( v2_membered(k7_relat_1(k4_numbers,X0))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_1929,c_168450]) ).
tcf(c_170821,plain,
! [X0: $i] :
( v3_membered(k7_relat_1(k4_numbers,X0))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_1929,c_168449]) ).
tcf(c_170822,plain,
! [X0: $i] :
( v4_membered(k7_relat_1(k4_numbers,X0))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_1929,c_168448]) ).
tcf(c_170823,plain,
! [X0: $i] :
( v1_membered(k7_relat_1(k3_numbers,X0))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_1929,c_168454]) ).
tcf(c_170824,plain,
! [X0: $i] :
( v2_membered(k7_relat_1(k3_numbers,X0))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_1929,c_168453]) ).
tcf(c_170825,plain,
! [X0: $i] :
( v3_membered(k7_relat_1(k3_numbers,X0))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_1929,c_168452]) ).
tcf(c_170826,plain,
! [X0: $i] :
( v1_membered(k7_relat_1(k1_numbers,X0))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_1929,c_168442]) ).
tcf(c_170827,plain,
! [X0: $i] :
( v2_membered(k7_relat_1(k1_numbers,X0))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_1929,c_168441]) ).
tcf(c_170828,plain,
! [X0: $i] :
( v1_membered(k7_relat_1(k5_numbers,X0))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_1929,c_168447]) ).
tcf(c_170829,plain,
! [X0: $i] :
( v2_membered(k7_relat_1(k5_numbers,X0))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_1929,c_168446]) ).
tcf(c_170830,plain,
! [X0: $i] :
( v3_membered(k7_relat_1(k5_numbers,X0))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_1929,c_168445]) ).
tcf(c_170831,plain,
! [X0: $i] :
( v4_membered(k7_relat_1(k5_numbers,X0))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_1929,c_168444]) ).
tcf(c_170832,plain,
! [X0: $i] :
( v5_membered(k7_relat_1(k5_numbers,X0))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_1929,c_168443]) ).
tcf(c_170833,plain,
! [X0: $i] :
( v1_membered(k7_relat_1(k2_numbers,X0))
| ~ v1_relat_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_1929,c_168455]) ).
tcf(c_170890,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ r2_hidden(X0,sK87(X0)) ),
inference(superposition,[status(thm)],[c_168911,c_431]) ).
tcf(c_170893,plain,
! [X0: $i] :
( v2_membered(X0)
| m1_subset_1(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_168911,c_421]) ).
tcf(c_170894,plain,
! [X0: $i] :
( v2_membered(k1_zfmisc_1(X0))
| r1_tarski(sK87(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_168911,c_126]) ).
tcf(c_170908,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ r2_hidden(X0,sK87(X0)) ),
inference(superposition,[status(thm)],[c_168914,c_431]) ).
tcf(c_170911,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| m1_subset_1(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_168914,c_421]) ).
tcf(c_170912,plain,
! [X0: $i] :
( v3_ordinal1(k1_zfmisc_1(X0))
| r1_tarski(sK87(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_168914,c_126]) ).
tcf(c_170914,plain,
( v3_ordinal1(k1_numbers)
| v1_xreal_0(sK87(k1_numbers)) ),
inference(superposition,[status(thm)],[c_168914,c_2361]) ).
tcf(c_170915,plain,
( v3_ordinal1(k4_numbers)
| v1_int_1(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_168914,c_3085]) ).
tcf(c_170931,plain,
( v3_ordinal1(k1_numbers)
| v1_xcmplx_0(sK87(k1_numbers)) ),
inference(superposition,[status(thm)],[c_170914,c_1732]) ).
tcf(c_170938,plain,
( v3_ordinal1(k4_numbers)
| v1_xreal_0(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170915,c_1725]) ).
tcf(c_170939,plain,
( v3_ordinal1(k4_numbers)
| v1_xcmplx_0(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170915,c_1724]) ).
tcf(c_170961,plain,
! [X0: $i] :
( v1_realset1(X0)
| ~ r2_hidden(X0,sK87(X0)) ),
inference(superposition,[status(thm)],[c_168917,c_431]) ).
tcf(c_170964,plain,
! [X0: $i] :
( v1_realset1(X0)
| m1_subset_1(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_168917,c_421]) ).
tcf(c_170965,plain,
! [X0: $i] :
( v1_realset1(k1_zfmisc_1(X0))
| r1_tarski(sK87(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_168917,c_126]) ).
tcf(c_170967,plain,
( v1_realset1(k1_numbers)
| v1_xreal_0(sK87(k1_numbers)) ),
inference(superposition,[status(thm)],[c_168917,c_2361]) ).
tcf(c_170968,plain,
( v1_realset1(k4_numbers)
| v1_int_1(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_168917,c_3085]) ).
tcf(c_170983,plain,
( v1_realset1(k1_numbers)
| v1_xcmplx_0(sK87(k1_numbers)) ),
inference(superposition,[status(thm)],[c_170967,c_1732]) ).
tcf(c_170990,plain,
( v1_realset1(k4_numbers)
| v1_xreal_0(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170968,c_1725]) ).
tcf(c_170991,plain,
( v1_realset1(k4_numbers)
| v1_xcmplx_0(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170968,c_1724]) ).
tcf(c_171000,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_170790,c_78840,c_170790]) ).
tcf(c_171007,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_171000,c_100]) ).
tcf(c_171008,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_171000,c_78786]) ).
tcf(c_171034,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,X1)) = k2_xboole_0(X1,X0),
inference(superposition,[status(thm)],[c_2041,c_49]) ).
tcf(c_171052,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK364(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2110,c_1725]) ).
tcf(c_171053,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK364(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2110,c_1724]) ).
tcf(c_171066,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK371(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2244,c_1732]) ).
tcf(c_171079,plain,
~ r2_hidden(k1_zfmisc_1(np__0),sK87(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_168922,c_431]) ).
tcf(c_171082,plain,
m1_subset_1(sK87(k1_zfmisc_1(np__0)),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_168922,c_421]) ).
tcf(c_171083,plain,
r1_tarski(sK87(k1_zfmisc_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_168922,c_126]) ).
tcf(c_171084,plain,
~ r2_hidden(np__0,sK87(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_171083,c_376]) ).
tcf(c_171085,plain,
sK87(k1_zfmisc_1(np__0)) = np__0,
inference(superposition,[status(thm)],[c_171083,c_390]) ).
tcf(c_171088,plain,
~ r2_hidden(k2_finseq_1(np__1),sK87(k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_168925,c_431]) ).
tcf(c_171091,plain,
m1_subset_1(sK87(k2_finseq_1(np__1)),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_168925,c_421]) ).
tcf(c_171092,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k2_tarski(k1_zfmisc_1(X0),X1),X0),
inference(superposition,[status(thm)],[c_125,c_168997]) ).
tcf(c_171093,plain,
! [X0: $i] : ~ v1_xreal_0(k2_tarski(k1_numbers,X0)),
inference(superposition,[status(thm)],[c_2362,c_168997]) ).
tcf(c_171094,plain,
! [X0: $i] : ~ v1_int_1(k2_tarski(k4_numbers,X0)),
inference(superposition,[status(thm)],[c_3086,c_168997]) ).
tcf(c_171102,plain,
! [X0: $i] : ~ v1_xreal_0(k2_tarski(X0,k1_numbers)),
inference(superposition,[status(thm)],[c_2041,c_171093]) ).
tcf(c_171105,plain,
! [X0: $i] : ~ v1_int_1(k2_tarski(X0,k4_numbers)),
inference(superposition,[status(thm)],[c_2041,c_171094]) ).
tcf(c_171112,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k2_tarski(X0,k1_zfmisc_1(X1)),X1),
inference(superposition,[status(thm)],[c_125,c_168998]) ).
tcf(c_171124,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_171008,c_78840,c_171008]) ).
tcf(c_171131,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_171124,c_100]) ).
tcf(c_171132,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_171124,c_78786]) ).
tcf(c_171144,plain,
! [X0: $i] :
( ~ v3_ordinal1(sK375(X0))
| ~ r2_hidden(sK376(X0),X0) ),
inference(superposition,[status(thm)],[c_2254,c_376]) ).
tcf(c_171152,plain,
! [X0: $i] :
( r2_hidden(sK375(X0),X0)
| ~ r2_hidden(sK376(X0),X0) ),
inference(superposition,[status(thm)],[c_2256,c_376]) ).
tcf(c_171183,plain,
~ v1_xboole_0(k2_tarski(np__0,np__0)),
inference(superposition,[status(thm)],[c_169170,c_2281]) ).
tcf(c_171203,plain,
! [X0: $i] : ~ r2_hidden(k2_xboole_0(k1_zfmisc_1(np__0),X0),np__0),
inference(superposition,[status(thm)],[c_169173,c_431]) ).
tcf(c_171204,plain,
! [X0: $i] : r2_hidden(sK87(k2_xboole_0(k1_zfmisc_1(np__0),X0)),k2_xboole_0(k1_zfmisc_1(np__0),X0)),
inference(superposition,[status(thm)],[c_169173,c_427]) ).
tcf(c_171208,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k2_xboole_0(X0,k1_zfmisc_1(X1)),X1),
inference(superposition,[status(thm)],[c_125,c_169259]) ).
tcf(c_171212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k2_enumset1(X0,X1,X2,X3),k2_tarski(X3,X3)),
inference(superposition,[status(thm)],[c_53,c_169259]) ).
tcf(c_171213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)),k2_zfmisc_1(X0,k4_xboole_0(X1,X3))),
inference(superposition,[status(thm)],[c_501,c_169259]) ).
tcf(c_171214,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_zfmisc_1(X0,k2_xboole_0(X1,X2)),k2_zfmisc_1(X0,X2)),
inference(superposition,[status(thm)],[c_504,c_169259]) ).
tcf(c_171215,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_zfmisc_1(k2_xboole_0(X0,X1),X2),k2_zfmisc_1(X1,X2)),
inference(superposition,[status(thm)],[c_503,c_169259]) ).
tcf(c_171216,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k4_xboole_0(k2_xboole_0(X0,X1),X2),k4_xboole_0(X1,X2)),
inference(superposition,[status(thm)],[c_526,c_169259]) ).
tcf(c_171228,plain,
! [X0: $i] : ~ r2_hidden(k2_xboole_0(k2_finseq_1(np__1),X0),np__1),
inference(superposition,[status(thm)],[c_169444,c_431]) ).
tcf(c_171229,plain,
! [X0: $i] : r2_hidden(sK87(k2_xboole_0(k2_finseq_1(np__1),X0)),k2_xboole_0(k2_finseq_1(np__1),X0)),
inference(superposition,[status(thm)],[c_169444,c_427]) ).
tcf(c_171230,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(k2_finseq_1(np__1),X0)),
inference(superposition,[status(thm)],[c_169444,c_426]) ).
tcf(c_171231,plain,
! [X0: $i] : m1_subset_1(np__1,k2_xboole_0(k2_finseq_1(np__1),X0)),
inference(superposition,[status(thm)],[c_169444,c_421]) ).
tcf(c_171249,plain,
! [X0: $i] : ~ v1_xboole_0(k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_169608,c_691]) ).
tcf(c_171262,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_171132,c_78840,c_171132]) ).
tcf(c_171269,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_171262,c_100]) ).
tcf(c_171270,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_171262,c_78786]) ).
tcf(c_171282,plain,
! [X0: $i] :
( v1_finset_1(sK385(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2394,c_789]) ).
tcf(c_171303,plain,
! [X0: $i] : sK389(k1_card_1(X0)) = k1_card_1(X0),
inference(superposition,[status(thm)],[c_3500,c_2422]) ).
tcf(c_171304,plain,
sK389(sK545) = sK545,
inference(superposition,[status(thm)],[c_3510,c_2422]) ).
tcf(c_171305,plain,
sK389(np__0) = np__0,
inference(superposition,[status(thm)],[c_163560,c_2422]) ).
tcf(c_171306,plain,
sK389(sK43(k5_numbers)) = sK43(k5_numbers),
inference(superposition,[status(thm)],[c_164792,c_2422]) ).
tcf(c_171307,plain,
( v1_relat_1(k5_numbers)
| ( sK389(sK201(k5_numbers)) = sK201(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_165655,c_2422]) ).
tcf(c_171308,plain,
( v3_ordinal1(k5_numbers)
| ( sK389(sK377(k5_numbers)) = sK377(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_165965,c_2422]) ).
tcf(c_171309,plain,
( v1_realset1(k5_numbers)
| ( sK389(sK484(k5_numbers)) = sK484(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_166107,c_2422]) ).
tcf(c_171310,plain,
( v1_realset1(k5_numbers)
| ( sK389(sK485(k5_numbers)) = sK485(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_166226,c_2422]) ).
tcf(c_171320,plain,
( v3_ordinal1(sK545)
| ~ v1_card_1(sK545) ),
inference(superposition,[status(thm)],[c_171304,c_2421]) ).
tcf(c_171321,plain,
v3_ordinal1(sK545),
inference(forward_subsumption_resolution,[status(thm)],[c_171320,c_3510]) ).
tcf(c_171366,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| v1_finset_1(sK87(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_170605,c_771]) ).
tcf(c_171367,plain,
( v1_relat_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK87(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170605,c_1772]) ).
tcf(c_171368,plain,
( v1_relat_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK87(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170605,c_1771]) ).
tcf(c_171369,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK87(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170605,c_2202]) ).
tcf(c_171370,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK87(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170605,c_2201]) ).
tcf(c_171371,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK87(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170605,c_2200]) ).
tcf(c_171372,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK87(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170605,c_2199]) ).
tcf(c_171373,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK87(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170605,c_2198]) ).
tcf(c_171374,plain,
( v1_relat_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK87(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170605,c_2206]) ).
tcf(c_171375,plain,
( v1_relat_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK87(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170605,c_2205]) ).
tcf(c_171376,plain,
( v1_relat_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK87(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170605,c_2204]) ).
tcf(c_171377,plain,
( v1_relat_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK87(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170605,c_2203]) ).
tcf(c_171378,plain,
( v1_relat_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170605,c_2226]) ).
tcf(c_171379,plain,
( v1_relat_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170605,c_2225]) ).
tcf(c_171380,plain,
( v1_relat_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170605,c_2224]) ).
tcf(c_171381,plain,
( v1_relat_1(k5_numbers)
| ~ v3_xreal_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170605,c_3350]) ).
tcf(c_171382,plain,
( v1_relat_1(k5_numbers)
| v1_int_1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170605,c_3351]) ).
tcf(c_171383,plain,
( v1_relat_1(k5_numbers)
| v1_xreal_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170605,c_3349]) ).
tcf(c_171384,plain,
( v1_relat_1(k5_numbers)
| v1_xcmplx_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170605,c_3348]) ).
tcf(c_171385,plain,
( v1_relat_1(k5_numbers)
| v4_ordinal2(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170605,c_3347]) ).
tcf(c_171386,plain,
( v1_relat_1(k5_numbers)
| v3_ordinal1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170605,c_3346]) ).
tcf(c_171387,plain,
( v1_relat_1(k5_numbers)
| v1_ordinal1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170605,c_3345]) ).
tcf(c_171388,plain,
( v1_relat_1(k5_numbers)
| v1_card_1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170605,c_3344]) ).
tcf(c_171389,plain,
( v1_relat_1(k5_numbers)
| v1_finset_1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170605,c_3334]) ).
tcf(c_171390,plain,
( v1_relat_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK87(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_170605,c_3063]) ).
tcf(c_171392,plain,
! [X0: $i] :
( v1_relat_1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170605,c_78786]) ).
tcf(c_171454,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_171270,c_78840,c_171270]) ).
tcf(c_171461,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_171454,c_100]) ).
tcf(c_171462,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_171454,c_78786]) ).
tcf(c_171474,plain,
! [X0: $i,X1: $i] :
( sP8(sK394(X0,X1))
| ~ sP22(X0,X1)
| ~ v1_funct_1(sK394(X0,X1)) ),
inference(superposition,[status(thm)],[c_2446,c_931]) ).
tcf(c_171518,plain,
( v1_relat_1(k5_numbers)
| ( sK389(sK87(k5_numbers)) = sK87(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_171388,c_2422]) ).
tcf(c_171519,plain,
( v1_relat_1(k5_numbers)
| v4_ordinal1(sK87(k5_numbers))
| v1_finset_1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_171388,c_3175]) ).
tcf(c_171534,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| v1_finset_1(sK87(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_170690,c_771]) ).
tcf(c_171535,plain,
( v5_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK87(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170690,c_1772]) ).
tcf(c_171536,plain,
( v5_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK87(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170690,c_1771]) ).
tcf(c_171537,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v5_membered(sK87(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170690,c_2202]) ).
tcf(c_171538,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v4_membered(sK87(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170690,c_2201]) ).
tcf(c_171539,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v3_membered(sK87(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170690,c_2200]) ).
tcf(c_171540,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v2_membered(sK87(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170690,c_2199]) ).
tcf(c_171541,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v1_membered(sK87(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170690,c_2198]) ).
tcf(c_171542,plain,
( v5_membered(k1_zfmisc_1(k4_numbers))
| v4_membered(sK87(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170690,c_2206]) ).
tcf(c_171543,plain,
( v5_membered(k1_zfmisc_1(k4_numbers))
| v3_membered(sK87(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170690,c_2205]) ).
tcf(c_171544,plain,
( v5_membered(k1_zfmisc_1(k4_numbers))
| v2_membered(sK87(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170690,c_2204]) ).
tcf(c_171545,plain,
( v5_membered(k1_zfmisc_1(k4_numbers))
| v1_membered(sK87(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170690,c_2203]) ).
tcf(c_171546,plain,
( v5_membered(k1_zfmisc_1(k3_numbers))
| v3_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170690,c_2226]) ).
tcf(c_171547,plain,
( v5_membered(k1_zfmisc_1(k3_numbers))
| v2_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170690,c_2225]) ).
tcf(c_171548,plain,
( v5_membered(k1_zfmisc_1(k3_numbers))
| v1_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170690,c_2224]) ).
tcf(c_171558,plain,
( v5_membered(k1_zfmisc_1(k2_numbers))
| v1_membered(sK87(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_170690,c_3063]) ).
tcf(c_171560,plain,
! [X0: $i] :
( v5_membered(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170690,c_78786]) ).
tcf(c_171577,plain,
v1_membered(sK87(k1_zfmisc_1(k5_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_171541,c_169108]) ).
tcf(c_171578,plain,
v2_membered(sK87(k1_zfmisc_1(k5_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_171540,c_169108]) ).
tcf(c_171579,plain,
v3_membered(sK87(k1_zfmisc_1(k5_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_171539,c_169108]) ).
tcf(c_171580,plain,
v4_membered(sK87(k1_zfmisc_1(k5_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_171538,c_169108]) ).
tcf(c_171581,plain,
v5_membered(sK87(k1_zfmisc_1(k5_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_171537,c_169108]) ).
tcf(c_171599,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_171462,c_78840,c_171462]) ).
tcf(c_171606,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_171599,c_100]) ).
tcf(c_171607,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_171599,c_78786]) ).
tcf(c_171624,plain,
! [X0: $i] :
( r1_tarski(np__0,k3_relat_1(sK146(X0,np__0)))
| ~ v1_relat_1(sK146(X0,np__0)) ),
inference(superposition,[status(thm)],[c_842,c_2876]) ).
tcf(c_171625,plain,
( r1_tarski(np__0,k3_relat_1(np__0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_865,c_2876]) ).
tcf(c_171626,plain,
! [X0: $i] :
( r1_tarski(X0,k3_relat_1(k6_partfun1(X0)))
| ~ v1_relat_1(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2853,c_2876]) ).
tcf(c_171627,plain,
! [X0: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(k3_relat_1(X0),k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2876,c_376]) ).
tcf(c_171630,plain,
! [X0: $i] : r1_tarski(X0,k3_relat_1(k6_partfun1(X0))),
inference(forward_subsumption_resolution,[status(thm)],[c_171626,c_2834]) ).
tcf(c_171639,plain,
! [X0: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(k3_relat_1(X0),k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2877,c_376]) ).
tcf(c_171650,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK87(X0),X0)
| ~ v1_classes2(X0) ),
inference(superposition,[status(thm)],[c_3075,c_427]) ).
tcf(c_171652,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(np__0,X0)
| ~ v1_classes2(X0) ),
inference(superposition,[status(thm)],[c_3075,c_421]) ).
tcf(c_171655,plain,
! [X0: $i] :
( v1_xboole_0(k4_xboole_0(X0,k2_tarski(np__0,np__0)))
| ~ v1_classes2(k4_xboole_0(X0,k2_tarski(np__0,np__0))) ),
inference(superposition,[status(thm)],[c_3075,c_1138]) ).
tcf(c_171657,plain,
( v1_int_1(np__0)
| v1_xboole_0(k4_numbers)
| ~ v1_classes2(k4_numbers) ),
inference(superposition,[status(thm)],[c_3075,c_3085]) ).
tcf(c_171659,plain,
! [X0: $i] :
( v1_xboole_0(k4_xboole_0(np__0,X0))
| ~ v1_classes2(k4_xboole_0(np__0,X0)) ),
inference(superposition,[status(thm)],[c_3075,c_168780]) ).
tcf(c_171660,plain,
( v1_xboole_0(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v1_classes2(k1_setfam_1(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_3075,c_168802]) ).
tcf(c_171661,plain,
( v1_xboole_0(sK43(k1_zfmisc_1(np__0)))
| ~ v1_classes2(sK43(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_3075,c_168806]) ).
tcf(c_171662,plain,
( v1_int_1(np__0)
| ~ v1_classes2(k4_numbers) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171657,c_3094]) ).
tcf(c_171668,plain,
( v1_xboole_0(np__0)
| ~ v1_classes2(np__0) ),
inference(light_normalisation,[status(thm)],[c_171661,c_168844]) ).
tcf(c_171674,plain,
! [X0: $i] :
( v1_xboole_0(k4_xboole_0(X0,k1_zfmisc_1(np__0)))
| ~ v1_classes2(k4_xboole_0(X0,k1_zfmisc_1(np__0))) ),
inference(light_normalisation,[status(thm)],[c_171655,c_1112]) ).
tcf(c_171682,plain,
r1_tarski(np__0,k3_relat_1(np__0)),
inference(superposition,[status(thm)],[c_2838,c_171630]) ).
tcf(c_171683,plain,
! [X0: $i] : ~ r2_hidden(k3_relat_1(k6_partfun1(X0)),X0),
inference(superposition,[status(thm)],[c_171630,c_376]) ).
tcf(c_171694,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| v1_finset_1(sK87(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_170743,c_771]) ).
tcf(c_171695,plain,
( v1_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK87(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170743,c_1772]) ).
tcf(c_171696,plain,
( v1_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK87(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170743,c_1771]) ).
tcf(c_171702,plain,
( v1_membered(k1_zfmisc_1(k4_numbers))
| v4_membered(sK87(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170743,c_2206]) ).
tcf(c_171703,plain,
( v1_membered(k1_zfmisc_1(k4_numbers))
| v3_membered(sK87(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170743,c_2205]) ).
tcf(c_171704,plain,
( v1_membered(k1_zfmisc_1(k4_numbers))
| v2_membered(sK87(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170743,c_2204]) ).
tcf(c_171705,plain,
( v1_membered(k1_zfmisc_1(k4_numbers))
| v1_membered(sK87(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170743,c_2203]) ).
tcf(c_171706,plain,
( v1_membered(k1_zfmisc_1(k3_numbers))
| v3_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170743,c_2226]) ).
tcf(c_171707,plain,
( v1_membered(k1_zfmisc_1(k3_numbers))
| v2_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170743,c_2225]) ).
tcf(c_171708,plain,
( v1_membered(k1_zfmisc_1(k3_numbers))
| v1_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170743,c_2224]) ).
tcf(c_171718,plain,
( v1_membered(k1_zfmisc_1(k2_numbers))
| v1_membered(sK87(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_170743,c_3063]) ).
tcf(c_171720,plain,
! [X0: $i] :
( v1_membered(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170743,c_78786]) ).
tcf(c_171721,plain,
v1_membered(sK87(k1_zfmisc_1(k2_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_171718,c_169109]) ).
tcf(c_171752,plain,
! [X0: $i] :
( v4_membered(k5_finsub_1(X0))
| v1_finset_1(sK87(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_170761,c_771]) ).
tcf(c_171753,plain,
( v4_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK87(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170761,c_1772]) ).
tcf(c_171754,plain,
( v4_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK87(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170761,c_1771]) ).
tcf(c_171760,plain,
( v4_membered(k1_zfmisc_1(k4_numbers))
| v4_membered(sK87(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170761,c_2206]) ).
tcf(c_171761,plain,
( v4_membered(k1_zfmisc_1(k4_numbers))
| v3_membered(sK87(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170761,c_2205]) ).
tcf(c_171762,plain,
( v4_membered(k1_zfmisc_1(k4_numbers))
| v2_membered(sK87(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170761,c_2204]) ).
tcf(c_171763,plain,
( v4_membered(k1_zfmisc_1(k4_numbers))
| v1_membered(sK87(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170761,c_2203]) ).
tcf(c_171764,plain,
( v4_membered(k1_zfmisc_1(k3_numbers))
| v3_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170761,c_2226]) ).
tcf(c_171765,plain,
( v4_membered(k1_zfmisc_1(k3_numbers))
| v2_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170761,c_2225]) ).
tcf(c_171766,plain,
( v4_membered(k1_zfmisc_1(k3_numbers))
| v1_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170761,c_2224]) ).
tcf(c_171778,plain,
! [X0: $i] :
( v4_membered(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170761,c_78786]) ).
tcf(c_171785,plain,
v1_membered(sK87(k1_zfmisc_1(k4_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_171763,c_169105]) ).
tcf(c_171786,plain,
v2_membered(sK87(k1_zfmisc_1(k4_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_171762,c_169105]) ).
tcf(c_171787,plain,
v3_membered(sK87(k1_zfmisc_1(k4_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_171761,c_169105]) ).
tcf(c_171788,plain,
v4_membered(sK87(k1_zfmisc_1(k4_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_171760,c_169105]) ).
tcf(c_171811,plain,
! [X0: $i] :
( v2_membered(k5_finsub_1(X0))
| v1_finset_1(sK87(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_170893,c_771]) ).
tcf(c_171812,plain,
( v2_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK87(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170893,c_1772]) ).
tcf(c_171813,plain,
( v2_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK87(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170893,c_1771]) ).
tcf(c_171823,plain,
( v2_membered(k1_zfmisc_1(k3_numbers))
| v3_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170893,c_2226]) ).
tcf(c_171824,plain,
( v2_membered(k1_zfmisc_1(k3_numbers))
| v2_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170893,c_2225]) ).
tcf(c_171825,plain,
( v2_membered(k1_zfmisc_1(k3_numbers))
| v1_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170893,c_2224]) ).
tcf(c_171837,plain,
! [X0: $i] :
( v2_membered(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170893,c_78786]) ).
tcf(c_171844,plain,
v1_membered(sK87(k1_zfmisc_1(k1_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_171813,c_169107]) ).
tcf(c_171845,plain,
v2_membered(sK87(k1_zfmisc_1(k1_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_171812,c_169107]) ).
tcf(c_171853,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_171607,c_78840,c_171607]) ).
tcf(c_171860,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_171853,c_100]) ).
tcf(c_171861,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_171853,c_78786]) ).
tcf(c_171875,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK497(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_3103,c_100]) ).
tcf(c_171876,plain,
! [X0: $i] :
( v4_finsub_1(k5_finsub_1(X0))
| v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK497(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_3103,c_771]) ).
tcf(c_171877,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v2_membered(sK497(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_3103,c_1772]) ).
tcf(c_171878,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v1_membered(sK497(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_3103,c_1771]) ).
tcf(c_171879,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v5_membered(sK497(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3103,c_2202]) ).
tcf(c_171880,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v4_membered(sK497(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3103,c_2201]) ).
tcf(c_171881,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v3_membered(sK497(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3103,c_2200]) ).
tcf(c_171882,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v2_membered(sK497(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3103,c_2199]) ).
tcf(c_171883,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v1_membered(sK497(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3103,c_2198]) ).
tcf(c_171884,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v4_membered(sK497(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3103,c_2206]) ).
tcf(c_171885,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v3_membered(sK497(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3103,c_2205]) ).
tcf(c_171886,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v2_membered(sK497(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3103,c_2204]) ).
tcf(c_171887,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v1_membered(sK497(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3103,c_2203]) ).
tcf(c_171888,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v3_membered(sK497(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3103,c_2226]) ).
tcf(c_171889,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v2_membered(sK497(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3103,c_2225]) ).
tcf(c_171890,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v1_membered(sK497(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3103,c_2224]) ).
tcf(c_171891,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| ~ v3_xreal_0(sK497(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3103,c_3350]) ).
tcf(c_171892,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_int_1(sK497(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3103,c_3351]) ).
tcf(c_171893,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_xreal_0(sK497(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3103,c_3349]) ).
tcf(c_171894,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_xcmplx_0(sK497(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3103,c_3348]) ).
tcf(c_171895,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v4_ordinal2(sK497(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3103,c_3347]) ).
tcf(c_171896,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v3_ordinal1(sK497(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3103,c_3346]) ).
tcf(c_171897,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_ordinal1(sK497(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3103,c_3345]) ).
tcf(c_171898,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_card_1(sK497(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3103,c_3344]) ).
tcf(c_171899,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_finset_1(sK497(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3103,c_3334]) ).
tcf(c_171900,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_xboole_0(k1_zfmisc_1(k2_numbers))
| v1_membered(sK497(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_3103,c_3063]) ).
tcf(c_171901,plain,
( v4_finsub_1(k4_numbers)
| v1_xboole_0(k4_numbers)
| v1_int_1(sK497(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3103,c_3087]) ).
tcf(c_171902,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK497(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_3103,c_78786]) ).
tcf(c_171903,plain,
( v4_finsub_1(k4_numbers)
| v1_int_1(sK497(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171901,c_3094]) ).
tcf(c_171933,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK497(k1_zfmisc_1(k2_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171900,c_121]) ).
tcf(c_171936,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK497(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171890,c_121]) ).
tcf(c_171939,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK497(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171889,c_121]) ).
tcf(c_171942,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK497(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171888,c_121]) ).
tcf(c_171945,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK497(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171887,c_121]) ).
tcf(c_171948,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK497(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171886,c_121]) ).
tcf(c_171951,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK497(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171885,c_121]) ).
tcf(c_171954,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK497(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171884,c_121]) ).
tcf(c_171957,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK497(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171883,c_121]) ).
tcf(c_171960,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK497(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171882,c_121]) ).
tcf(c_171963,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK497(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171881,c_121]) ).
tcf(c_171966,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK497(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171880,c_121]) ).
tcf(c_171969,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK497(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171879,c_121]) ).
tcf(c_171972,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK497(k1_zfmisc_1(k1_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171878,c_121]) ).
tcf(c_171975,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK497(k1_zfmisc_1(k1_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171877,c_121]) ).
tcf(c_171981,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(X0))
| r1_tarski(sK497(k1_zfmisc_1(X0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171875,c_121]) ).
tcf(c_171984,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK497(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171902,c_121]) ).
tcf(c_171997,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK496(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_3104,c_100]) ).
tcf(c_171998,plain,
! [X0: $i] :
( v4_finsub_1(k5_finsub_1(X0))
| v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK496(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_3104,c_771]) ).
tcf(c_171999,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v2_membered(sK496(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_3104,c_1772]) ).
tcf(c_172000,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v1_membered(sK496(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_3104,c_1771]) ).
tcf(c_172001,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v5_membered(sK496(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3104,c_2202]) ).
tcf(c_172002,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v4_membered(sK496(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3104,c_2201]) ).
tcf(c_172003,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v3_membered(sK496(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3104,c_2200]) ).
tcf(c_172004,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v2_membered(sK496(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3104,c_2199]) ).
tcf(c_172005,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v1_membered(sK496(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3104,c_2198]) ).
tcf(c_172006,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v4_membered(sK496(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3104,c_2206]) ).
tcf(c_172007,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v3_membered(sK496(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3104,c_2205]) ).
tcf(c_172008,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v2_membered(sK496(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3104,c_2204]) ).
tcf(c_172009,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v1_membered(sK496(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3104,c_2203]) ).
tcf(c_172010,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v3_membered(sK496(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3104,c_2226]) ).
tcf(c_172011,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v2_membered(sK496(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3104,c_2225]) ).
tcf(c_172012,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v1_membered(sK496(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3104,c_2224]) ).
tcf(c_172013,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| ~ v3_xreal_0(sK496(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3104,c_3350]) ).
tcf(c_172014,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_int_1(sK496(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3104,c_3351]) ).
tcf(c_172015,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_xreal_0(sK496(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3104,c_3349]) ).
tcf(c_172016,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_xcmplx_0(sK496(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3104,c_3348]) ).
tcf(c_172017,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v4_ordinal2(sK496(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3104,c_3347]) ).
tcf(c_172018,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v3_ordinal1(sK496(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3104,c_3346]) ).
tcf(c_172019,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_ordinal1(sK496(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3104,c_3345]) ).
tcf(c_172020,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_card_1(sK496(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3104,c_3344]) ).
tcf(c_172021,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_finset_1(sK496(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3104,c_3334]) ).
tcf(c_172022,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_xboole_0(k1_zfmisc_1(k2_numbers))
| v1_membered(sK496(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_3104,c_3063]) ).
tcf(c_172023,plain,
( v4_finsub_1(k4_numbers)
| v1_xboole_0(k4_numbers)
| v1_int_1(sK496(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3104,c_3087]) ).
tcf(c_172024,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK496(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_3104,c_78786]) ).
tcf(c_172025,plain,
( v4_finsub_1(k4_numbers)
| v1_int_1(sK496(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172023,c_3094]) ).
tcf(c_172055,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK496(k1_zfmisc_1(k2_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172022,c_121]) ).
tcf(c_172058,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK496(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172012,c_121]) ).
tcf(c_172061,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK496(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172011,c_121]) ).
tcf(c_172064,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK496(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172010,c_121]) ).
tcf(c_172067,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK496(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172009,c_121]) ).
tcf(c_172070,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK496(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172008,c_121]) ).
tcf(c_172073,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK496(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172007,c_121]) ).
tcf(c_172076,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK496(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172006,c_121]) ).
tcf(c_172079,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK496(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172005,c_121]) ).
tcf(c_172082,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK496(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172004,c_121]) ).
tcf(c_172085,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK496(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172003,c_121]) ).
tcf(c_172088,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK496(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172002,c_121]) ).
tcf(c_172091,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK496(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172001,c_121]) ).
tcf(c_172094,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK496(k1_zfmisc_1(k1_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172000,c_121]) ).
tcf(c_172097,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK496(k1_zfmisc_1(k1_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171999,c_121]) ).
tcf(c_172103,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(X0))
| r1_tarski(sK496(k1_zfmisc_1(X0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171997,c_121]) ).
tcf(c_172106,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK496(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172024,c_121]) ).
tcf(c_172119,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK499(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_3106,c_100]) ).
tcf(c_172120,plain,
! [X0: $i] :
( v4_finsub_1(k5_finsub_1(X0))
| v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK499(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_3106,c_771]) ).
tcf(c_172121,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v2_membered(sK499(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_3106,c_1772]) ).
tcf(c_172122,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v1_membered(sK499(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_3106,c_1771]) ).
tcf(c_172123,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v5_membered(sK499(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3106,c_2202]) ).
tcf(c_172124,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v4_membered(sK499(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3106,c_2201]) ).
tcf(c_172125,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v3_membered(sK499(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3106,c_2200]) ).
tcf(c_172126,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v2_membered(sK499(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3106,c_2199]) ).
tcf(c_172127,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v1_membered(sK499(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3106,c_2198]) ).
tcf(c_172128,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v4_membered(sK499(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3106,c_2206]) ).
tcf(c_172129,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v3_membered(sK499(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3106,c_2205]) ).
tcf(c_172130,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v2_membered(sK499(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3106,c_2204]) ).
tcf(c_172131,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v1_membered(sK499(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3106,c_2203]) ).
tcf(c_172132,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v3_membered(sK499(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3106,c_2226]) ).
tcf(c_172133,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v2_membered(sK499(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3106,c_2225]) ).
tcf(c_172134,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v1_membered(sK499(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3106,c_2224]) ).
tcf(c_172135,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| ~ v3_xreal_0(sK499(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3106,c_3350]) ).
tcf(c_172136,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_int_1(sK499(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3106,c_3351]) ).
tcf(c_172137,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_xreal_0(sK499(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3106,c_3349]) ).
tcf(c_172138,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_xcmplx_0(sK499(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3106,c_3348]) ).
tcf(c_172139,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v4_ordinal2(sK499(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3106,c_3347]) ).
tcf(c_172140,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v3_ordinal1(sK499(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3106,c_3346]) ).
tcf(c_172141,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_ordinal1(sK499(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3106,c_3345]) ).
tcf(c_172142,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_card_1(sK499(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3106,c_3344]) ).
tcf(c_172143,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_finset_1(sK499(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3106,c_3334]) ).
tcf(c_172144,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_xboole_0(k1_zfmisc_1(k2_numbers))
| v1_membered(sK499(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_3106,c_3063]) ).
tcf(c_172145,plain,
( v4_finsub_1(k4_numbers)
| v1_xboole_0(k4_numbers)
| v1_int_1(sK499(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3106,c_3087]) ).
tcf(c_172146,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK499(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_3106,c_78786]) ).
tcf(c_172147,plain,
( v4_finsub_1(k4_numbers)
| v1_int_1(sK499(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172145,c_3094]) ).
tcf(c_172177,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK499(k1_zfmisc_1(k2_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172144,c_121]) ).
tcf(c_172180,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK499(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172134,c_121]) ).
tcf(c_172183,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK499(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172133,c_121]) ).
tcf(c_172186,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK499(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172132,c_121]) ).
tcf(c_172189,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK499(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172131,c_121]) ).
tcf(c_172192,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK499(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172130,c_121]) ).
tcf(c_172195,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK499(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172129,c_121]) ).
tcf(c_172198,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK499(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172128,c_121]) ).
tcf(c_172201,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK499(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172127,c_121]) ).
tcf(c_172204,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK499(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172126,c_121]) ).
tcf(c_172207,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK499(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172125,c_121]) ).
tcf(c_172210,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK499(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172124,c_121]) ).
tcf(c_172213,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK499(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172123,c_121]) ).
tcf(c_172216,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK499(k1_zfmisc_1(k1_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172122,c_121]) ).
tcf(c_172219,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK499(k1_zfmisc_1(k1_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172121,c_121]) ).
tcf(c_172225,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(X0))
| r1_tarski(sK499(k1_zfmisc_1(X0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172119,c_121]) ).
tcf(c_172228,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK499(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172146,c_121]) ).
tcf(c_172241,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK498(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_3107,c_100]) ).
tcf(c_172242,plain,
! [X0: $i] :
( v4_finsub_1(k5_finsub_1(X0))
| v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK498(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_3107,c_771]) ).
tcf(c_172243,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v2_membered(sK498(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_3107,c_1772]) ).
tcf(c_172244,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v1_membered(sK498(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_3107,c_1771]) ).
tcf(c_172245,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v5_membered(sK498(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3107,c_2202]) ).
tcf(c_172246,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v4_membered(sK498(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3107,c_2201]) ).
tcf(c_172247,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v3_membered(sK498(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3107,c_2200]) ).
tcf(c_172248,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v2_membered(sK498(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3107,c_2199]) ).
tcf(c_172249,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v1_membered(sK498(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3107,c_2198]) ).
tcf(c_172250,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v4_membered(sK498(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3107,c_2206]) ).
tcf(c_172251,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v3_membered(sK498(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3107,c_2205]) ).
tcf(c_172252,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v2_membered(sK498(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3107,c_2204]) ).
tcf(c_172253,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v1_membered(sK498(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3107,c_2203]) ).
tcf(c_172254,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v3_membered(sK498(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3107,c_2226]) ).
tcf(c_172255,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v2_membered(sK498(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3107,c_2225]) ).
tcf(c_172256,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v1_membered(sK498(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3107,c_2224]) ).
tcf(c_172257,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| ~ v3_xreal_0(sK498(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3107,c_3350]) ).
tcf(c_172258,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_int_1(sK498(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3107,c_3351]) ).
tcf(c_172259,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_xreal_0(sK498(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3107,c_3349]) ).
tcf(c_172260,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_xcmplx_0(sK498(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3107,c_3348]) ).
tcf(c_172261,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v4_ordinal2(sK498(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3107,c_3347]) ).
tcf(c_172262,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v3_ordinal1(sK498(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3107,c_3346]) ).
tcf(c_172263,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_ordinal1(sK498(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3107,c_3345]) ).
tcf(c_172264,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_card_1(sK498(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3107,c_3344]) ).
tcf(c_172265,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_finset_1(sK498(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3107,c_3334]) ).
tcf(c_172266,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_xboole_0(k1_zfmisc_1(k2_numbers))
| v1_membered(sK498(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_3107,c_3063]) ).
tcf(c_172267,plain,
( v4_finsub_1(k4_numbers)
| v1_xboole_0(k4_numbers)
| v1_int_1(sK498(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3107,c_3087]) ).
tcf(c_172268,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK498(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_3107,c_78786]) ).
tcf(c_172269,plain,
( v4_finsub_1(k4_numbers)
| v1_int_1(sK498(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172267,c_3094]) ).
tcf(c_172299,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK498(k1_zfmisc_1(k2_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172266,c_121]) ).
tcf(c_172302,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK498(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172256,c_121]) ).
tcf(c_172305,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK498(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172255,c_121]) ).
tcf(c_172308,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK498(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172254,c_121]) ).
tcf(c_172311,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK498(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172253,c_121]) ).
tcf(c_172314,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK498(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172252,c_121]) ).
tcf(c_172317,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK498(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172251,c_121]) ).
tcf(c_172320,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK498(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172250,c_121]) ).
tcf(c_172323,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK498(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172249,c_121]) ).
tcf(c_172326,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK498(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172248,c_121]) ).
tcf(c_172329,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK498(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172247,c_121]) ).
tcf(c_172332,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK498(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172246,c_121]) ).
tcf(c_172335,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK498(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172245,c_121]) ).
tcf(c_172338,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK498(k1_zfmisc_1(k1_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172244,c_121]) ).
tcf(c_172341,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK498(k1_zfmisc_1(k1_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172243,c_121]) ).
tcf(c_172347,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(X0))
| r1_tarski(sK498(k1_zfmisc_1(X0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172241,c_121]) ).
tcf(c_172350,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK498(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172268,c_121]) ).
tcf(c_172362,plain,
( v4_finsub_1(k4_numbers)
| v1_xreal_0(sK497(k4_numbers)) ),
inference(superposition,[status(thm)],[c_171903,c_1725]) ).
tcf(c_172363,plain,
( v4_finsub_1(k4_numbers)
| v1_xcmplx_0(sK497(k4_numbers)) ),
inference(superposition,[status(thm)],[c_171903,c_1724]) ).
tcf(c_172372,plain,
( v4_finsub_1(k4_numbers)
| v1_xreal_0(sK496(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172025,c_1725]) ).
tcf(c_172373,plain,
( v4_finsub_1(k4_numbers)
| v1_xcmplx_0(sK496(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172025,c_1724]) ).
tcf(c_172382,plain,
( v4_finsub_1(k4_numbers)
| v1_xreal_0(sK499(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172147,c_1725]) ).
tcf(c_172383,plain,
( v4_finsub_1(k4_numbers)
| v1_xcmplx_0(sK499(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172147,c_1724]) ).
tcf(c_172392,plain,
( v4_finsub_1(k4_numbers)
| v1_xreal_0(sK498(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172269,c_1725]) ).
tcf(c_172393,plain,
( v4_finsub_1(k4_numbers)
| v1_xcmplx_0(sK498(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172269,c_1724]) ).
tcf(c_172430,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_171861,c_78840,c_171861]) ).
tcf(c_172437,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_172430,c_100]) ).
tcf(c_172438,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_172430,c_78786]) ).
tcf(c_172452,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK501(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_3109,c_100]) ).
tcf(c_172453,plain,
! [X0: $i] :
( v4_finsub_1(k5_finsub_1(X0))
| v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK501(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_3109,c_771]) ).
tcf(c_172454,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v2_membered(sK501(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_3109,c_1772]) ).
tcf(c_172455,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v1_membered(sK501(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_3109,c_1771]) ).
tcf(c_172456,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v5_membered(sK501(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3109,c_2202]) ).
tcf(c_172457,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v4_membered(sK501(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3109,c_2201]) ).
tcf(c_172458,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v3_membered(sK501(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3109,c_2200]) ).
tcf(c_172459,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v2_membered(sK501(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3109,c_2199]) ).
tcf(c_172460,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v1_membered(sK501(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3109,c_2198]) ).
tcf(c_172461,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v4_membered(sK501(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3109,c_2206]) ).
tcf(c_172462,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v3_membered(sK501(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3109,c_2205]) ).
tcf(c_172463,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v2_membered(sK501(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3109,c_2204]) ).
tcf(c_172464,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v1_membered(sK501(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3109,c_2203]) ).
tcf(c_172465,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v3_membered(sK501(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3109,c_2226]) ).
tcf(c_172466,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v2_membered(sK501(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3109,c_2225]) ).
tcf(c_172467,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v1_membered(sK501(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3109,c_2224]) ).
tcf(c_172468,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| ~ v3_xreal_0(sK501(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3109,c_3350]) ).
tcf(c_172469,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_int_1(sK501(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3109,c_3351]) ).
tcf(c_172470,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_xreal_0(sK501(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3109,c_3349]) ).
tcf(c_172471,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_xcmplx_0(sK501(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3109,c_3348]) ).
tcf(c_172472,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v4_ordinal2(sK501(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3109,c_3347]) ).
tcf(c_172473,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v3_ordinal1(sK501(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3109,c_3346]) ).
tcf(c_172474,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_ordinal1(sK501(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3109,c_3345]) ).
tcf(c_172475,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_card_1(sK501(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3109,c_3344]) ).
tcf(c_172476,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_finset_1(sK501(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3109,c_3334]) ).
tcf(c_172477,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_xboole_0(k1_zfmisc_1(k2_numbers))
| v1_membered(sK501(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_3109,c_3063]) ).
tcf(c_172478,plain,
( v4_finsub_1(k4_numbers)
| v1_xboole_0(k4_numbers)
| v1_int_1(sK501(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3109,c_3087]) ).
tcf(c_172479,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK501(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_3109,c_78786]) ).
tcf(c_172480,plain,
( v4_finsub_1(k4_numbers)
| v1_int_1(sK501(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172478,c_3094]) ).
tcf(c_172510,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK501(k1_zfmisc_1(k2_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172477,c_121]) ).
tcf(c_172513,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK501(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172467,c_121]) ).
tcf(c_172516,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK501(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172466,c_121]) ).
tcf(c_172519,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK501(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172465,c_121]) ).
tcf(c_172522,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK501(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172464,c_121]) ).
tcf(c_172525,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK501(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172463,c_121]) ).
tcf(c_172528,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK501(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172462,c_121]) ).
tcf(c_172531,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK501(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172461,c_121]) ).
tcf(c_172534,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK501(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172460,c_121]) ).
tcf(c_172537,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK501(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172459,c_121]) ).
tcf(c_172540,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK501(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172458,c_121]) ).
tcf(c_172543,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK501(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172457,c_121]) ).
tcf(c_172546,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK501(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172456,c_121]) ).
tcf(c_172549,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK501(k1_zfmisc_1(k1_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172455,c_121]) ).
tcf(c_172552,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK501(k1_zfmisc_1(k1_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172454,c_121]) ).
tcf(c_172558,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(X0))
| r1_tarski(sK501(k1_zfmisc_1(X0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172452,c_121]) ).
tcf(c_172561,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK501(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172479,c_121]) ).
tcf(c_172574,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK500(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_3110,c_100]) ).
tcf(c_172575,plain,
! [X0: $i] :
( v4_finsub_1(k5_finsub_1(X0))
| v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK500(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_3110,c_771]) ).
tcf(c_172576,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v2_membered(sK500(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_3110,c_1772]) ).
tcf(c_172577,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v1_membered(sK500(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_3110,c_1771]) ).
tcf(c_172578,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v5_membered(sK500(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3110,c_2202]) ).
tcf(c_172579,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v4_membered(sK500(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3110,c_2201]) ).
tcf(c_172580,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v3_membered(sK500(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3110,c_2200]) ).
tcf(c_172581,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v2_membered(sK500(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3110,c_2199]) ).
tcf(c_172582,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v1_membered(sK500(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_3110,c_2198]) ).
tcf(c_172583,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v4_membered(sK500(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3110,c_2206]) ).
tcf(c_172584,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v3_membered(sK500(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3110,c_2205]) ).
tcf(c_172585,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v2_membered(sK500(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3110,c_2204]) ).
tcf(c_172586,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v1_membered(sK500(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_3110,c_2203]) ).
tcf(c_172587,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v3_membered(sK500(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3110,c_2226]) ).
tcf(c_172588,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v2_membered(sK500(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3110,c_2225]) ).
tcf(c_172589,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v1_membered(sK500(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_3110,c_2224]) ).
tcf(c_172590,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| ~ v3_xreal_0(sK500(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3110,c_3350]) ).
tcf(c_172591,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_int_1(sK500(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3110,c_3351]) ).
tcf(c_172592,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_xreal_0(sK500(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3110,c_3349]) ).
tcf(c_172593,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_xcmplx_0(sK500(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3110,c_3348]) ).
tcf(c_172594,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v4_ordinal2(sK500(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3110,c_3347]) ).
tcf(c_172595,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v3_ordinal1(sK500(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3110,c_3346]) ).
tcf(c_172596,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_ordinal1(sK500(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3110,c_3345]) ).
tcf(c_172597,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_card_1(sK500(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3110,c_3344]) ).
tcf(c_172598,plain,
( v4_finsub_1(k5_numbers)
| v1_xboole_0(k5_numbers)
| v1_finset_1(sK500(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3110,c_3334]) ).
tcf(c_172599,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_xboole_0(k1_zfmisc_1(k2_numbers))
| v1_membered(sK500(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_3110,c_3063]) ).
tcf(c_172600,plain,
( v4_finsub_1(k4_numbers)
| v1_xboole_0(k4_numbers)
| v1_int_1(sK500(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3110,c_3087]) ).
tcf(c_172601,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK500(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_3110,c_78786]) ).
tcf(c_172602,plain,
( v4_finsub_1(k4_numbers)
| v1_int_1(sK500(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172600,c_3094]) ).
tcf(c_172632,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK500(k1_zfmisc_1(k2_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172599,c_121]) ).
tcf(c_172635,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK500(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172589,c_121]) ).
tcf(c_172638,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK500(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172588,c_121]) ).
tcf(c_172641,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK500(k1_zfmisc_1(k3_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172587,c_121]) ).
tcf(c_172644,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK500(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172586,c_121]) ).
tcf(c_172647,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK500(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172585,c_121]) ).
tcf(c_172650,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK500(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172584,c_121]) ).
tcf(c_172653,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK500(k1_zfmisc_1(k4_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172583,c_121]) ).
tcf(c_172656,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK500(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172582,c_121]) ).
tcf(c_172659,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK500(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172581,c_121]) ).
tcf(c_172662,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK500(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172580,c_121]) ).
tcf(c_172665,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK500(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172579,c_121]) ).
tcf(c_172668,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK500(k1_zfmisc_1(k5_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172578,c_121]) ).
tcf(c_172671,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK500(k1_zfmisc_1(k1_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172577,c_121]) ).
tcf(c_172674,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK500(k1_zfmisc_1(k1_numbers))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172576,c_121]) ).
tcf(c_172680,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(X0))
| r1_tarski(sK500(k1_zfmisc_1(X0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172574,c_121]) ).
tcf(c_172683,plain,
! [X0: $i] :
( v4_finsub_1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK500(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172601,c_121]) ).
tcf(c_172694,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),k5_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_3133,c_3126]) ).
tcf(c_172695,plain,
! [X0: $i] : k5_xboole_0(np__0,X0) = X0,
inference(superposition,[status(thm)],[c_3133,c_3132]) ).
tcf(c_172700,plain,
( r1_tarski(k4_classes1(np__0),np__0)
| ~ v2_classes1(np__0) ),
inference(superposition,[status(thm)],[c_2055,c_3158]) ).
tcf(c_172701,plain,
! [X0: $i] :
( ~ v2_classes1(X0)
| ~ r2_hidden(X0,k4_classes1(k1_card_1(X0))) ),
inference(superposition,[status(thm)],[c_3158,c_376]) ).
tcf(c_172702,plain,
( ( k4_classes1(k1_card_1(np__0)) = np__0 )
| ~ v2_classes1(np__0) ),
inference(superposition,[status(thm)],[c_3158,c_390]) ).
tcf(c_172703,plain,
( v1_membered(k4_classes1(k1_card_1(k4_numbers)))
| ~ v2_classes1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3158,c_168451]) ).
tcf(c_172704,plain,
( v2_membered(k4_classes1(k1_card_1(k4_numbers)))
| ~ v2_classes1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3158,c_168450]) ).
tcf(c_172705,plain,
( v3_membered(k4_classes1(k1_card_1(k4_numbers)))
| ~ v2_classes1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3158,c_168449]) ).
tcf(c_172706,plain,
( v4_membered(k4_classes1(k1_card_1(k4_numbers)))
| ~ v2_classes1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3158,c_168448]) ).
tcf(c_172707,plain,
( v1_membered(k4_classes1(k1_card_1(k3_numbers)))
| ~ v2_classes1(k3_numbers) ),
inference(superposition,[status(thm)],[c_3158,c_168454]) ).
tcf(c_172708,plain,
( v2_membered(k4_classes1(k1_card_1(k3_numbers)))
| ~ v2_classes1(k3_numbers) ),
inference(superposition,[status(thm)],[c_3158,c_168453]) ).
tcf(c_172709,plain,
( v3_membered(k4_classes1(k1_card_1(k3_numbers)))
| ~ v2_classes1(k3_numbers) ),
inference(superposition,[status(thm)],[c_3158,c_168452]) ).
tcf(c_172710,plain,
( v1_membered(k4_classes1(k1_card_1(k1_numbers)))
| ~ v2_classes1(k1_numbers) ),
inference(superposition,[status(thm)],[c_3158,c_168442]) ).
tcf(c_172711,plain,
( v2_membered(k4_classes1(k1_card_1(k1_numbers)))
| ~ v2_classes1(k1_numbers) ),
inference(superposition,[status(thm)],[c_3158,c_168441]) ).
tcf(c_172712,plain,
( v1_membered(k4_classes1(k1_card_1(k5_numbers)))
| ~ v2_classes1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3158,c_168447]) ).
tcf(c_172713,plain,
( v2_membered(k4_classes1(k1_card_1(k5_numbers)))
| ~ v2_classes1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3158,c_168446]) ).
tcf(c_172714,plain,
( v3_membered(k4_classes1(k1_card_1(k5_numbers)))
| ~ v2_classes1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3158,c_168445]) ).
tcf(c_172715,plain,
( v4_membered(k4_classes1(k1_card_1(k5_numbers)))
| ~ v2_classes1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3158,c_168444]) ).
tcf(c_172716,plain,
( v5_membered(k4_classes1(k1_card_1(k5_numbers)))
| ~ v2_classes1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3158,c_168443]) ).
tcf(c_172717,plain,
( v1_membered(k4_classes1(k1_card_1(k2_numbers)))
| ~ v2_classes1(k2_numbers) ),
inference(superposition,[status(thm)],[c_3158,c_168455]) ).
tcf(c_172750,plain,
( ( k4_classes1(np__0) = np__0 )
| ~ v2_classes1(np__0) ),
inference(light_normalisation,[status(thm)],[c_172702,c_2055]) ).
tcf(c_172764,plain,
( v4_finsub_1(k4_numbers)
| v1_xreal_0(sK501(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172480,c_1725]) ).
tcf(c_172765,plain,
( v4_finsub_1(k4_numbers)
| v1_xcmplx_0(sK501(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172480,c_1724]) ).
tcf(c_172774,plain,
( v4_finsub_1(k4_numbers)
| v1_xreal_0(sK500(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172602,c_1725]) ).
tcf(c_172775,plain,
( v4_finsub_1(k4_numbers)
| v1_xcmplx_0(sK500(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172602,c_1724]) ).
tcf(c_172803,plain,
! [X0: $i] :
( v3_ordinal1(k5_finsub_1(X0))
| v1_finset_1(sK87(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_170911,c_771]) ).
tcf(c_172815,plain,
( v3_ordinal1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170911,c_2226]) ).
tcf(c_172816,plain,
( v3_ordinal1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170911,c_2225]) ).
tcf(c_172817,plain,
( v3_ordinal1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170911,c_2224]) ).
tcf(c_172818,plain,
( v3_ordinal1(k5_numbers)
| ~ v3_xreal_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170911,c_3350]) ).
tcf(c_172819,plain,
( v3_ordinal1(k5_numbers)
| v1_int_1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170911,c_3351]) ).
tcf(c_172820,plain,
( v3_ordinal1(k5_numbers)
| v1_xreal_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170911,c_3349]) ).
tcf(c_172821,plain,
( v3_ordinal1(k5_numbers)
| v1_xcmplx_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170911,c_3348]) ).
tcf(c_172822,plain,
( v3_ordinal1(k5_numbers)
| v4_ordinal2(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170911,c_3347]) ).
tcf(c_172823,plain,
( v3_ordinal1(k5_numbers)
| v3_ordinal1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170911,c_3346]) ).
tcf(c_172824,plain,
( v3_ordinal1(k5_numbers)
| v1_ordinal1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170911,c_3345]) ).
tcf(c_172825,plain,
( v3_ordinal1(k5_numbers)
| v1_card_1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170911,c_3344]) ).
tcf(c_172826,plain,
( v3_ordinal1(k5_numbers)
| v1_finset_1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170911,c_3334]) ).
tcf(c_172829,plain,
! [X0: $i] :
( v3_ordinal1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170911,c_78786]) ).
tcf(c_172882,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_172438,c_78840,c_172438]) ).
tcf(c_172889,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_172882,c_100]) ).
tcf(c_172890,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_172882,c_78786]) ).
tcf(c_172904,plain,
( v1_classes2(sK43(k5_numbers))
| ~ v2_classes1(sK43(k5_numbers)) ),
inference(superposition,[status(thm)],[c_164797,c_3174]) ).
tcf(c_172905,plain,
( v1_relat_1(k5_numbers)
| v1_classes2(sK201(k5_numbers))
| ~ v2_classes1(sK201(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165654,c_3174]) ).
tcf(c_172906,plain,
( v3_ordinal1(k5_numbers)
| v1_classes2(sK377(k5_numbers))
| ~ v2_classes1(sK377(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165964,c_3174]) ).
tcf(c_172907,plain,
( v1_realset1(k5_numbers)
| v1_classes2(sK484(k5_numbers))
| ~ v2_classes1(sK484(k5_numbers)) ),
inference(superposition,[status(thm)],[c_166106,c_3174]) ).
tcf(c_172908,plain,
( v1_realset1(k5_numbers)
| v1_classes2(sK485(k5_numbers))
| ~ v2_classes1(sK485(k5_numbers)) ),
inference(superposition,[status(thm)],[c_166225,c_3174]) ).
tcf(c_172909,plain,
( v1_relat_1(k5_numbers)
| v1_classes2(sK87(k5_numbers))
| ~ v2_classes1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_171387,c_3174]) ).
tcf(c_172931,plain,
! [X0: $i,X1: $i] :
( v4_ordinal1(k2_tarski(X0,X1))
| ( k2_xboole_0(X0,X1) != k2_tarski(X0,X1) ) ),
inference(superposition,[status(thm)],[c_49,c_3183]) ).
tcf(c_172932,plain,
! [X0: $i] :
( v4_ordinal1(k1_zfmisc_1(X0))
| ( k1_zfmisc_1(X0) != X0 ) ),
inference(superposition,[status(thm)],[c_1185,c_3183]) ).
tcf(c_172943,plain,
! [X0: $i] :
( v1_finset_1(k1_card_1(X0))
| ( k3_tarski(k1_card_1(X0)) = k1_card_1(X0) ) ),
inference(superposition,[status(thm)],[c_168045,c_3184]) ).
tcf(c_172944,plain,
! [X0: $i] :
( ( k3_tarski(k1_card_1(X0)) = k1_card_1(X0) )
| ~ v2_classes1(X0) ),
inference(superposition,[status(thm)],[c_3165,c_3184]) ).
tcf(c_172945,plain,
! [X0: $i] : k3_tarski(k1_card_1(k1_classes1(X0))) = k1_card_1(k1_classes1(X0)),
inference(superposition,[status(thm)],[c_3178,c_3184]) ).
tcf(c_172946,plain,
! [X0: $i] :
( ( k3_tarski(sK503(X0)) = sK503(X0) )
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_3181,c_3184]) ).
tcf(c_172948,plain,
( v1_finset_1(sK545)
| ( k3_tarski(sK545) = sK545 ) ),
inference(superposition,[status(thm)],[c_168046,c_3184]) ).
tcf(c_172970,plain,
( v3_ordinal1(k5_numbers)
| v1_classes2(sK87(k5_numbers))
| ~ v2_classes1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_172824,c_3174]) ).
tcf(c_172978,plain,
( v3_ordinal1(k5_numbers)
| ( sK389(sK87(k5_numbers)) = sK87(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_172825,c_2422]) ).
tcf(c_172979,plain,
( v3_ordinal1(k5_numbers)
| v4_ordinal1(sK87(k5_numbers))
| v1_finset_1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_172825,c_3175]) ).
tcf(c_172994,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| v1_finset_1(sK87(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_170964,c_771]) ).
tcf(c_173006,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170964,c_2226]) ).
tcf(c_173007,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170964,c_2225]) ).
tcf(c_173008,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK87(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170964,c_2224]) ).
tcf(c_173009,plain,
( v1_realset1(k5_numbers)
| ~ v3_xreal_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170964,c_3350]) ).
tcf(c_173010,plain,
( v1_realset1(k5_numbers)
| v1_int_1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170964,c_3351]) ).
tcf(c_173011,plain,
( v1_realset1(k5_numbers)
| v1_xreal_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170964,c_3349]) ).
tcf(c_173012,plain,
( v1_realset1(k5_numbers)
| v1_xcmplx_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170964,c_3348]) ).
tcf(c_173013,plain,
( v1_realset1(k5_numbers)
| v4_ordinal2(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170964,c_3347]) ).
tcf(c_173014,plain,
( v1_realset1(k5_numbers)
| v3_ordinal1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170964,c_3346]) ).
tcf(c_173015,plain,
( v1_realset1(k5_numbers)
| v1_ordinal1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170964,c_3345]) ).
tcf(c_173016,plain,
( v1_realset1(k5_numbers)
| v1_card_1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170964,c_3344]) ).
tcf(c_173017,plain,
( v1_realset1(k5_numbers)
| v1_finset_1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_170964,c_3334]) ).
tcf(c_173020,plain,
! [X0: $i] :
( v1_realset1(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170964,c_78786]) ).
tcf(c_173081,plain,
( v1_realset1(k5_numbers)
| v1_classes2(sK87(k5_numbers))
| ~ v2_classes1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_173015,c_3174]) ).
tcf(c_173089,plain,
( v1_realset1(k5_numbers)
| ( sK389(sK87(k5_numbers)) = sK87(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_173016,c_2422]) ).
tcf(c_173090,plain,
( v1_realset1(k5_numbers)
| v4_ordinal1(sK87(k5_numbers))
| v1_finset_1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_173016,c_3175]) ).
tcf(c_173096,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_172890,c_78840,c_172890]) ).
tcf(c_173103,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_173096,c_100]) ).
tcf(c_173104,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_173096,c_78786]) ).
tcf(c_173135,plain,
( v3_ordinal1(k1_zfmisc_1(np__0))
| m1_subset_1(np__0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_171085,c_170911]) ).
tcf(c_173137,plain,
( v4_membered(k1_zfmisc_1(np__0))
| m1_subset_1(np__0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_171085,c_170761]) ).
tcf(c_173139,plain,
( v5_membered(k1_zfmisc_1(np__0))
| m1_subset_1(np__0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_171085,c_170690]) ).
tcf(c_173140,plain,
( v1_relat_1(k1_zfmisc_1(np__0))
| m1_subset_1(np__0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_171085,c_170605]) ).
tcf(c_173164,plain,
! [X0: $i] : ~ r1_tarski(k3_relat_1(k6_partfun1(k1_zfmisc_1(X0))),X0),
inference(superposition,[status(thm)],[c_125,c_171683]) ).
tcf(c_173165,plain,
~ v1_xreal_0(k3_relat_1(k6_partfun1(k1_numbers))),
inference(superposition,[status(thm)],[c_2362,c_171683]) ).
tcf(c_173166,plain,
~ v1_int_1(k3_relat_1(k6_partfun1(k4_numbers))),
inference(superposition,[status(thm)],[c_3086,c_171683]) ).
tcf(c_173167,plain,
~ r2_hidden(k3_relat_1(np__0),np__0),
inference(superposition,[status(thm)],[c_2838,c_171683]) ).
tcf(c_173169,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_173104,c_78840,c_173104]) ).
tcf(c_173176,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_173169,c_100]) ).
tcf(c_173177,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_173169,c_78786]) ).
tcf(c_173205,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| ~ r2_hidden(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_3403,c_3411]) ).
tcf(c_173208,plain,
! [X0: $i] :
( r1_tarski(np__1,X0)
| ~ r2_hidden(X0,k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_168377,c_3411]) ).
tcf(c_173209,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,k1_setfam_1(X1)) ),
inference(superposition,[status(thm)],[c_3411,c_376]) ).
tcf(c_173211,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(X0))
| ~ r2_hidden(k4_numbers,X0) ),
inference(superposition,[status(thm)],[c_3411,c_168451]) ).
tcf(c_173212,plain,
! [X0: $i] :
( v2_membered(k1_setfam_1(X0))
| ~ r2_hidden(k4_numbers,X0) ),
inference(superposition,[status(thm)],[c_3411,c_168450]) ).
tcf(c_173213,plain,
! [X0: $i] :
( v3_membered(k1_setfam_1(X0))
| ~ r2_hidden(k4_numbers,X0) ),
inference(superposition,[status(thm)],[c_3411,c_168449]) ).
tcf(c_173214,plain,
! [X0: $i] :
( v4_membered(k1_setfam_1(X0))
| ~ r2_hidden(k4_numbers,X0) ),
inference(superposition,[status(thm)],[c_3411,c_168448]) ).
tcf(c_173215,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(X0))
| ~ r2_hidden(k3_numbers,X0) ),
inference(superposition,[status(thm)],[c_3411,c_168454]) ).
tcf(c_173216,plain,
! [X0: $i] :
( v2_membered(k1_setfam_1(X0))
| ~ r2_hidden(k3_numbers,X0) ),
inference(superposition,[status(thm)],[c_3411,c_168453]) ).
tcf(c_173217,plain,
! [X0: $i] :
( v3_membered(k1_setfam_1(X0))
| ~ r2_hidden(k3_numbers,X0) ),
inference(superposition,[status(thm)],[c_3411,c_168452]) ).
tcf(c_173218,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(X0))
| ~ r2_hidden(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_3411,c_168442]) ).
tcf(c_173219,plain,
! [X0: $i] :
( v2_membered(k1_setfam_1(X0))
| ~ r2_hidden(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_3411,c_168441]) ).
tcf(c_173220,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(X0))
| ~ r2_hidden(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_3411,c_168447]) ).
tcf(c_173221,plain,
! [X0: $i] :
( v2_membered(k1_setfam_1(X0))
| ~ r2_hidden(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_3411,c_168446]) ).
tcf(c_173222,plain,
! [X0: $i] :
( v3_membered(k1_setfam_1(X0))
| ~ r2_hidden(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_3411,c_168445]) ).
tcf(c_173223,plain,
! [X0: $i] :
( v4_membered(k1_setfam_1(X0))
| ~ r2_hidden(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_3411,c_168444]) ).
tcf(c_173224,plain,
! [X0: $i] :
( v5_membered(k1_setfam_1(X0))
| ~ r2_hidden(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_3411,c_168443]) ).
tcf(c_173225,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(X0))
| ~ r2_hidden(k2_numbers,X0) ),
inference(superposition,[status(thm)],[c_3411,c_168455]) ).
tcf(c_173281,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(np__0,X0),X0),
inference(superposition,[status(thm)],[c_172695,c_3126]) ).
tcf(c_173310,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k2_xboole_0(k2_tarski(X0,X0),X1)),
inference(superposition,[status(thm)],[c_546,c_165235]) ).
tcf(c_173318,plain,
! [X0: $i,X1: $i] : m1_subset_1(X0,k2_xboole_0(k2_tarski(X0,X0),X1)),
inference(superposition,[status(thm)],[c_546,c_165236]) ).
tcf(c_173319,plain,
! [X0: $i] : m1_subset_1(X0,k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_169170,c_165236]) ).
tcf(c_173328,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_99,c_165485]) ).
tcf(c_173333,plain,
( v4_finsub_1(k1_zfmisc_1(np__0))
| v1_xboole_0(k1_zfmisc_1(np__0))
| v1_finset_1(sK497(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_3103,c_165485]) ).
tcf(c_173334,plain,
( v4_finsub_1(k1_zfmisc_1(np__0))
| v1_xboole_0(k1_zfmisc_1(np__0))
| v1_finset_1(sK496(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_3104,c_165485]) ).
tcf(c_173335,plain,
( v4_finsub_1(k1_zfmisc_1(np__0))
| v1_xboole_0(k1_zfmisc_1(np__0))
| v1_finset_1(sK499(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_3106,c_165485]) ).
tcf(c_173336,plain,
( v4_finsub_1(k1_zfmisc_1(np__0))
| v1_xboole_0(k1_zfmisc_1(np__0))
| v1_finset_1(sK498(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_3107,c_165485]) ).
tcf(c_173337,plain,
( v4_finsub_1(k1_zfmisc_1(np__0))
| v1_xboole_0(k1_zfmisc_1(np__0))
| v1_finset_1(sK501(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_3109,c_165485]) ).
tcf(c_173338,plain,
( v4_finsub_1(k1_zfmisc_1(np__0))
| v1_xboole_0(k1_zfmisc_1(np__0))
| v1_finset_1(sK500(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_3110,c_165485]) ).
tcf(c_173339,plain,
( v1_relat_1(k1_zfmisc_1(np__0))
| v1_finset_1(sK201(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_165029,c_165485]) ).
tcf(c_173340,plain,
( v5_membered(k1_zfmisc_1(np__0))
| v1_finset_1(sK255(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_165030,c_165485]) ).
tcf(c_173342,plain,
( v4_membered(k1_zfmisc_1(np__0))
| v1_finset_1(sK365(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_165035,c_165485]) ).
tcf(c_173344,plain,
( v3_ordinal1(k1_zfmisc_1(np__0))
| v1_finset_1(sK377(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_165037,c_165485]) ).
tcf(c_173348,plain,
( v3_ordinal1(k1_zfmisc_1(np__0))
| v1_finset_1(sK87(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_170911,c_165485]) ).
tcf(c_173350,plain,
( v4_membered(k1_zfmisc_1(np__0))
| v1_finset_1(sK87(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_170761,c_165485]) ).
tcf(c_173352,plain,
( v5_membered(k1_zfmisc_1(np__0))
| v1_finset_1(sK87(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_170690,c_165485]) ).
tcf(c_173353,plain,
( v1_relat_1(k1_zfmisc_1(np__0))
| v1_finset_1(sK87(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_170605,c_165485]) ).
tcf(c_173356,plain,
( v1_finset_1(np__0)
| v1_relat_1(k1_zfmisc_1(np__0)) ),
inference(light_normalisation,[status(thm)],[c_173353,c_171085]) ).
tcf(c_173357,plain,
( v1_finset_1(np__0)
| v5_membered(k1_zfmisc_1(np__0)) ),
inference(light_normalisation,[status(thm)],[c_173352,c_171085]) ).
tcf(c_173358,plain,
( v1_finset_1(np__0)
| v4_membered(k1_zfmisc_1(np__0)) ),
inference(light_normalisation,[status(thm)],[c_173350,c_171085]) ).
tcf(c_173359,plain,
( v1_finset_1(np__0)
| v3_ordinal1(k1_zfmisc_1(np__0)) ),
inference(light_normalisation,[status(thm)],[c_173348,c_171085]) ).
tcf(c_173368,plain,
( v4_finsub_1(k1_zfmisc_1(np__0))
| v1_finset_1(sK500(k1_zfmisc_1(np__0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173338,c_121]) ).
tcf(c_173371,plain,
( v4_finsub_1(k1_zfmisc_1(np__0))
| v1_finset_1(sK501(k1_zfmisc_1(np__0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173337,c_121]) ).
tcf(c_173374,plain,
( v4_finsub_1(k1_zfmisc_1(np__0))
| v1_finset_1(sK498(k1_zfmisc_1(np__0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173336,c_121]) ).
tcf(c_173377,plain,
( v4_finsub_1(k1_zfmisc_1(np__0))
| v1_finset_1(sK499(k1_zfmisc_1(np__0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173335,c_121]) ).
tcf(c_173380,plain,
( v4_finsub_1(k1_zfmisc_1(np__0))
| v1_finset_1(sK496(k1_zfmisc_1(np__0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173334,c_121]) ).
tcf(c_173383,plain,
( v4_finsub_1(k1_zfmisc_1(np__0))
| v1_finset_1(sK497(k1_zfmisc_1(np__0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173333,c_121]) ).
tcf(c_173393,plain,
v1_finset_1(k2_relat_1(sK146(np__0,np__0))),
inference(superposition,[status(thm)],[c_843,c_173328]) ).
tcf(c_173394,plain,
! [X0: $i] : v1_finset_1(k4_xboole_0(np__0,X0)),
inference(superposition,[status(thm)],[c_1147,c_173328]) ).
tcf(c_173395,plain,
! [X0: $i] :
( v1_finset_1(k7_relat_1(np__0,X0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_1929,c_173328]) ).
tcf(c_173396,plain,
( v1_finset_1(k4_classes1(k1_card_1(np__0)))
| ~ v2_classes1(np__0) ),
inference(superposition,[status(thm)],[c_3158,c_173328]) ).
tcf(c_173397,plain,
! [X0: $i] :
( v1_finset_1(k1_setfam_1(X0))
| ~ r2_hidden(np__0,X0) ),
inference(superposition,[status(thm)],[c_3411,c_173328]) ).
tcf(c_173401,plain,
v1_finset_1(k1_setfam_1(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_164196,c_173328]) ).
tcf(c_173408,plain,
( v1_finset_1(k4_classes1(np__0))
| ~ v2_classes1(np__0) ),
inference(light_normalisation,[status(thm)],[c_173396,c_2055]) ).
tcf(c_173411,plain,
( v1_finset_1(np__0)
| ~ v1_relat_1(np__0) ),
inference(light_normalisation,[status(thm)],[c_173395,c_1910]) ).
tcf(c_173416,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_173177,c_78840,c_173177]) ).
tcf(c_173423,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_173416,c_100]) ).
tcf(c_173424,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_173416,c_78786]) ).
tcf(c_173432,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(np__0),k1_zfmisc_1(k2_zfmisc_1(np__0,X0))),
inference(superposition,[status(thm)],[c_47333,c_3467]) ).
tcf(c_173433,plain,
! [X0: $i] : r1_tarski(k1_funct_2(np__0,X0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_629,c_3467]) ).
tcf(c_173434,plain,
! [X0: $i] : r1_tarski(k1_funct_2(X0,np__0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_630,c_3467]) ).
tcf(c_173435,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k1_funct_2(X0,X1)),
inference(superposition,[status(thm)],[c_3467,c_376]) ).
tcf(c_173444,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_funct_2(X0,X1),X2)
| v1_funct_1(sK85(k1_funct_2(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_398,c_3470]) ).
tcf(c_173446,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK122(k1_funct_2(X0,X1)))
| ( k1_funct_2(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_654,c_3470]) ).
tcf(c_173447,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK124(k1_funct_2(X0,X1)))
| ( k1_funct_2(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_660,c_3470]) ).
tcf(c_173448,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK125(k1_funct_2(X0,X1)))
| ( k1_funct_2(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_662,c_3470]) ).
tcf(c_173449,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK126(k1_funct_2(X0,X1)))
| ( k1_funct_2(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_664,c_3470]) ).
tcf(c_173450,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK127(k1_funct_2(X0,X1)))
| ( k1_funct_2(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_666,c_3470]) ).
tcf(c_173451,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK128(k1_funct_2(X0,X1)))
| ( k1_funct_2(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_668,c_3470]) ).
tcf(c_173452,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK129(k1_funct_2(X0,X1)))
| ( k1_funct_2(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_670,c_3470]) ).
tcf(c_173453,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k1_funct_2(X0,X1),X2)
| v1_funct_1(sK131(k1_funct_2(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_732,c_3470]) ).
tcf(c_173454,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k1_funct_2(X1,X2))
| v1_funct_1(sK131(X0,k1_funct_2(X1,X2))) ),
inference(superposition,[status(thm)],[c_733,c_3470]) ).
tcf(c_173455,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK182(k1_funct_2(X0,X1)))
| ( k1_funct_2(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_1014,c_3470]) ).
tcf(c_173456,plain,
! [X0: $i,X1: $i] :
( sP9(k1_funct_2(X0,X1))
| v1_funct_1(k1_funct_2(X0,X1))
| v1_funct_1(sK188(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_1026,c_3470]) ).
tcf(c_173457,plain,
! [X0: $i,X1: $i] :
( sP9(k1_funct_2(X0,X1))
| v1_relat_1(k1_funct_2(X0,X1))
| v1_funct_1(sK188(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_1024,c_3470]) ).
tcf(c_173458,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_funct_2(X0,X1))
| v1_funct_1(sK201(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_1045,c_3470]) ).
tcf(c_173459,plain,
! [X0: $i,X1: $i] :
( v4_membered(k3_tarski(k1_funct_2(X0,X1)))
| v1_funct_1(sK231(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_1162,c_3470]) ).
tcf(c_173460,plain,
! [X0: $i,X1: $i] :
( v3_membered(k3_tarski(k1_funct_2(X0,X1)))
| v1_funct_1(sK232(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_1164,c_3470]) ).
tcf(c_173461,plain,
! [X0: $i,X1: $i] :
( v2_membered(k3_tarski(k1_funct_2(X0,X1)))
| v1_funct_1(sK233(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_1166,c_3470]) ).
tcf(c_173462,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k1_funct_2(X0,X1)))
| v1_funct_1(sK234(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_1168,c_3470]) ).
tcf(c_173463,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k3_tarski(k1_funct_2(X0,X1)))
| v1_funct_1(sK236(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_1175,c_3470]) ).
tcf(c_173464,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_funct_2(X0,X1))
| v1_funct_1(sK255(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_1269,c_3470]) ).
tcf(c_173465,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_funct_2(X0,X1))
| v1_funct_1(sK313(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_1717,c_3470]) ).
tcf(c_173466,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_funct_2(X0,X1))
| v1_funct_1(sK365(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_2114,c_3470]) ).
tcf(c_173467,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_funct_2(X0,X1))
| v1_funct_1(sK372(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_2248,c_3470]) ).
tcf(c_173468,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(sK374(k1_funct_2(X0,X1)))
| v1_funct_1(sK374(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_2253,c_3470]) ).
tcf(c_173469,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(sK376(k1_funct_2(X0,X1)))
| v1_funct_1(sK375(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_2257,c_3470]) ).
tcf(c_173470,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k1_funct_2(X0,X1))
| v1_funct_1(sK377(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_2259,c_3470]) ).
tcf(c_173471,plain,
! [X0: $i,X1: $i] :
( v5_membered(k3_tarski(k1_funct_2(X0,X1)))
| v1_funct_1(sK381(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_2332,c_3470]) ).
tcf(c_173472,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k1_funct_2(X0,X1))
| v1_funct_1(sK484(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_3010,c_3470]) ).
tcf(c_173473,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k1_funct_2(X0,X1))
| v1_funct_1(sK485(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_3011,c_3470]) ).
tcf(c_173475,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k1_setfam_1(k1_funct_2(X0,X1)))
| v1_funct_1(sK535(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_3401,c_3470]) ).
tcf(c_173476,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k1_funct_2(X0,X1))
| v1_funct_1(sK87(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_168917,c_3470]) ).
tcf(c_173477,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k1_funct_2(X0,X1))
| v1_funct_1(sK87(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_168914,c_3470]) ).
tcf(c_173478,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_funct_2(X0,X1))
| v1_funct_1(sK87(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_168911,c_3470]) ).
tcf(c_173479,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_funct_2(X0,X1))
| v1_funct_1(sK87(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_168910,c_3470]) ).
tcf(c_173480,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_funct_2(X0,X1))
| v1_funct_1(sK87(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_168906,c_3470]) ).
tcf(c_173481,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_funct_2(X0,X1))
| v1_funct_1(sK87(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_168905,c_3470]) ).
tcf(c_173482,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_funct_2(X0,X1))
| v1_funct_1(sK87(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_168899,c_3470]) ).
tcf(c_173483,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ~ r2_hidden(X0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_47333,c_3470]) ).
tcf(c_173610,plain,
~ r1_qc_lang2(sK43(k8_qc_lang1),k11_qc_lang1),
inference(superposition,[status(thm)],[c_58,c_3572]) ).
tcf(c_173611,plain,
( v4_finsub_1(k8_qc_lang1)
| v1_xboole_0(k8_qc_lang1)
| ~ r1_qc_lang2(sK497(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_3103,c_3572]) ).
tcf(c_173612,plain,
( v4_finsub_1(k8_qc_lang1)
| v1_xboole_0(k8_qc_lang1)
| ~ r1_qc_lang2(sK496(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_3104,c_3572]) ).
tcf(c_173613,plain,
( v4_finsub_1(k8_qc_lang1)
| v1_xboole_0(k8_qc_lang1)
| ~ r1_qc_lang2(sK499(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_3106,c_3572]) ).
tcf(c_173614,plain,
( v4_finsub_1(k8_qc_lang1)
| v1_xboole_0(k8_qc_lang1)
| ~ r1_qc_lang2(sK498(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_3107,c_3572]) ).
tcf(c_173615,plain,
( v4_finsub_1(k8_qc_lang1)
| v1_xboole_0(k8_qc_lang1)
| ~ r1_qc_lang2(sK501(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_3109,c_3572]) ).
tcf(c_173616,plain,
( v4_finsub_1(k8_qc_lang1)
| v1_xboole_0(k8_qc_lang1)
| ~ r1_qc_lang2(sK500(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_3110,c_3572]) ).
tcf(c_173617,plain,
( v1_relat_1(k8_qc_lang1)
| ~ r1_qc_lang2(sK201(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_165029,c_3572]) ).
tcf(c_173618,plain,
( v5_membered(k8_qc_lang1)
| ~ r1_qc_lang2(sK255(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_165030,c_3572]) ).
tcf(c_173619,plain,
( v1_membered(k8_qc_lang1)
| ~ r1_qc_lang2(sK313(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_165031,c_3572]) ).
tcf(c_173620,plain,
( v4_membered(k8_qc_lang1)
| ~ r1_qc_lang2(sK365(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_165035,c_3572]) ).
tcf(c_173621,plain,
( v2_membered(k8_qc_lang1)
| ~ r1_qc_lang2(sK372(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_165036,c_3572]) ).
tcf(c_173622,plain,
( v3_ordinal1(k8_qc_lang1)
| ~ r1_qc_lang2(sK377(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_165037,c_3572]) ).
tcf(c_173623,plain,
( v1_realset1(k8_qc_lang1)
| ~ r1_qc_lang2(sK484(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_165039,c_3572]) ).
tcf(c_173624,plain,
( v1_realset1(k8_qc_lang1)
| ~ r1_qc_lang2(sK485(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_165040,c_3572]) ).
tcf(c_173625,plain,
( v1_realset1(k8_qc_lang1)
| ~ r1_qc_lang2(sK87(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_170964,c_3572]) ).
tcf(c_173626,plain,
( v3_ordinal1(k8_qc_lang1)
| ~ r1_qc_lang2(sK87(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_170911,c_3572]) ).
tcf(c_173627,plain,
( v2_membered(k8_qc_lang1)
| ~ r1_qc_lang2(sK87(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_170893,c_3572]) ).
tcf(c_173628,plain,
( v4_membered(k8_qc_lang1)
| ~ r1_qc_lang2(sK87(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_170761,c_3572]) ).
tcf(c_173629,plain,
( v1_membered(k8_qc_lang1)
| ~ r1_qc_lang2(sK87(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_170743,c_3572]) ).
tcf(c_173630,plain,
( v5_membered(k8_qc_lang1)
| ~ r1_qc_lang2(sK87(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_170690,c_3572]) ).
tcf(c_173631,plain,
( v1_relat_1(k8_qc_lang1)
| ~ r1_qc_lang2(sK87(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_170605,c_3572]) ).
tcf(c_173662,plain,
( v4_finsub_1(k8_qc_lang1)
| ~ r1_qc_lang2(sK500(k8_qc_lang1),k11_qc_lang1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173616,c_3611]) ).
tcf(c_173665,plain,
( v4_finsub_1(k8_qc_lang1)
| ~ r1_qc_lang2(sK501(k8_qc_lang1),k11_qc_lang1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173615,c_3611]) ).
tcf(c_173668,plain,
( v4_finsub_1(k8_qc_lang1)
| ~ r1_qc_lang2(sK498(k8_qc_lang1),k11_qc_lang1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173614,c_3611]) ).
tcf(c_173671,plain,
( v4_finsub_1(k8_qc_lang1)
| ~ r1_qc_lang2(sK499(k8_qc_lang1),k11_qc_lang1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173613,c_3611]) ).
tcf(c_173674,plain,
( v4_finsub_1(k8_qc_lang1)
| ~ r1_qc_lang2(sK496(k8_qc_lang1),k11_qc_lang1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173612,c_3611]) ).
tcf(c_173677,plain,
( v4_finsub_1(k8_qc_lang1)
| ~ r1_qc_lang2(sK497(k8_qc_lang1),k11_qc_lang1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173611,c_3611]) ).
tcf(c_173681,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(np__0),k1_funct_2(X0,np__0)),
inference(superposition,[status(thm)],[c_173434,c_376]) ).
tcf(c_173687,plain,
( v1_relat_1(k5_finsub_1(np__0))
| v1_finset_1(sK201(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_47208,c_165648]) ).
tcf(c_173694,plain,
! [X0: $i] :
( v4_membered(k3_tarski(k5_finsub_1(X0)))
| v1_finset_1(sK231(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_165722,c_771]) ).
tcf(c_173695,plain,
( v2_membered(sK231(k1_zfmisc_1(k1_numbers)))
| v4_membered(k3_tarski(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165722,c_1772]) ).
tcf(c_173696,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(k1_numbers)))
| v1_membered(sK231(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165722,c_1771]) ).
tcf(c_173697,plain,
( v5_membered(sK231(k1_zfmisc_1(k5_numbers)))
| v4_membered(k3_tarski(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165722,c_2202]) ).
tcf(c_173698,plain,
( v4_membered(sK231(k1_zfmisc_1(k5_numbers)))
| v4_membered(k3_tarski(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165722,c_2201]) ).
tcf(c_173699,plain,
( v3_membered(sK231(k1_zfmisc_1(k5_numbers)))
| v4_membered(k3_tarski(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165722,c_2200]) ).
tcf(c_173700,plain,
( v2_membered(sK231(k1_zfmisc_1(k5_numbers)))
| v4_membered(k3_tarski(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165722,c_2199]) ).
tcf(c_173701,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(k5_numbers)))
| v1_membered(sK231(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165722,c_2198]) ).
tcf(c_173702,plain,
( v4_membered(sK231(k1_zfmisc_1(k4_numbers)))
| v4_membered(k3_tarski(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165722,c_2206]) ).
tcf(c_173703,plain,
( v3_membered(sK231(k1_zfmisc_1(k4_numbers)))
| v4_membered(k3_tarski(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165722,c_2205]) ).
tcf(c_173704,plain,
( v2_membered(sK231(k1_zfmisc_1(k4_numbers)))
| v4_membered(k3_tarski(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165722,c_2204]) ).
tcf(c_173705,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(k4_numbers)))
| v1_membered(sK231(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165722,c_2203]) ).
tcf(c_173706,plain,
( v3_membered(sK231(k1_zfmisc_1(k3_numbers)))
| v4_membered(k3_tarski(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165722,c_2226]) ).
tcf(c_173707,plain,
( v2_membered(sK231(k1_zfmisc_1(k3_numbers)))
| v4_membered(k3_tarski(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165722,c_2225]) ).
tcf(c_173708,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(k3_numbers)))
| v1_membered(sK231(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165722,c_2224]) ).
tcf(c_173709,plain,
( v4_membered(k3_tarski(k5_numbers))
| ~ v3_xreal_0(sK231(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165722,c_3350]) ).
tcf(c_173710,plain,
( v1_int_1(sK231(k5_numbers))
| v4_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165722,c_3351]) ).
tcf(c_173711,plain,
( v1_xreal_0(sK231(k5_numbers))
| v4_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165722,c_3349]) ).
tcf(c_173712,plain,
( v4_membered(k3_tarski(k5_numbers))
| v1_xcmplx_0(sK231(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165722,c_3348]) ).
tcf(c_173713,plain,
( v4_membered(k3_tarski(k5_numbers))
| v4_ordinal2(sK231(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165722,c_3347]) ).
tcf(c_173714,plain,
( v3_ordinal1(sK231(k5_numbers))
| v4_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165722,c_3346]) ).
tcf(c_173715,plain,
( v1_ordinal1(sK231(k5_numbers))
| v4_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165722,c_3345]) ).
tcf(c_173716,plain,
( v1_card_1(sK231(k5_numbers))
| v4_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165722,c_3344]) ).
tcf(c_173717,plain,
( v4_membered(k3_tarski(k5_numbers))
| v1_finset_1(sK231(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165722,c_3334]) ).
tcf(c_173718,plain,
( v4_membered(k3_tarski(k8_qc_lang1))
| ~ r1_qc_lang2(sK231(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_165722,c_3572]) ).
tcf(c_173719,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(k2_numbers)))
| v1_membered(sK231(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_165722,c_3063]) ).
tcf(c_173721,plain,
! [X0: $i] :
( v4_membered(k3_tarski(k1_zfmisc_1(u1_struct_0(sK81(X0)))))
| m1_subset_1(sK231(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165722,c_78786]) ).
tcf(c_173722,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(np__0)))
| v1_finset_1(sK231(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_165722,c_165485]) ).
tcf(c_173741,plain,
( v4_membered(k2_xboole_0(np__0,np__0))
| v1_finset_1(sK231(k1_zfmisc_1(np__0))) ),
inference(light_normalisation,[status(thm)],[c_173722,c_165601]) ).
tcf(c_173787,plain,
( v1_int_1(sK231(k5_numbers))
| v2_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_173710,c_166995]) ).
tcf(c_173788,plain,
( v1_int_1(sK231(k5_numbers))
| v1_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_173710,c_166985]) ).
tcf(c_173789,plain,
( v1_int_1(sK231(k5_numbers))
| v3_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_173710,c_2213]) ).
tcf(c_173800,plain,
( v1_xreal_0(sK231(k5_numbers))
| v2_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_173711,c_166995]) ).
tcf(c_173801,plain,
( v1_xreal_0(sK231(k5_numbers))
| v1_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_173711,c_166985]) ).
tcf(c_173802,plain,
( v1_xreal_0(sK231(k5_numbers))
| v3_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_173711,c_2213]) ).
tcf(c_173827,plain,
( v1_classes2(sK231(k5_numbers))
| v4_membered(k3_tarski(k5_numbers))
| ~ v2_classes1(sK231(k5_numbers)) ),
inference(superposition,[status(thm)],[c_173715,c_3174]) ).
tcf(c_173835,plain,
( v4_membered(k3_tarski(k5_numbers))
| ( sK389(sK231(k5_numbers)) = sK231(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_173716,c_2422]) ).
tcf(c_173843,plain,
( v2_membered(k3_tarski(k5_numbers))
| v1_finset_1(sK231(k5_numbers)) ),
inference(superposition,[status(thm)],[c_173717,c_166995]) ).
tcf(c_173844,plain,
( v1_membered(k3_tarski(k5_numbers))
| v1_finset_1(sK231(k5_numbers)) ),
inference(superposition,[status(thm)],[c_173717,c_166985]) ).
tcf(c_173845,plain,
( v3_membered(k3_tarski(k5_numbers))
| v1_finset_1(sK231(k5_numbers)) ),
inference(superposition,[status(thm)],[c_173717,c_2213]) ).
tcf(c_173852,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_173424,c_78840,c_173424]) ).
tcf(c_173859,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_173852,c_100]) ).
tcf(c_173860,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_173852,c_78786]) ).
tcf(c_173872,plain,
~ r3_qc_lang2(sK43(k8_qc_lang1),sK43(k8_qc_lang1)),
inference(superposition,[status(thm)],[c_58,c_3610]) ).
tcf(c_173873,plain,
( v4_finsub_1(k8_qc_lang1)
| v1_xboole_0(k8_qc_lang1)
| ~ r3_qc_lang2(sK497(k8_qc_lang1),sK497(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_3103,c_3610]) ).
tcf(c_173874,plain,
( v4_finsub_1(k8_qc_lang1)
| v1_xboole_0(k8_qc_lang1)
| ~ r3_qc_lang2(sK496(k8_qc_lang1),sK496(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_3104,c_3610]) ).
tcf(c_173875,plain,
( v4_finsub_1(k8_qc_lang1)
| v1_xboole_0(k8_qc_lang1)
| ~ r3_qc_lang2(sK499(k8_qc_lang1),sK499(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_3106,c_3610]) ).
tcf(c_173876,plain,
( v4_finsub_1(k8_qc_lang1)
| v1_xboole_0(k8_qc_lang1)
| ~ r3_qc_lang2(sK498(k8_qc_lang1),sK498(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_3107,c_3610]) ).
tcf(c_173877,plain,
( v4_finsub_1(k8_qc_lang1)
| v1_xboole_0(k8_qc_lang1)
| ~ r3_qc_lang2(sK501(k8_qc_lang1),sK501(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_3109,c_3610]) ).
tcf(c_173878,plain,
( v4_finsub_1(k8_qc_lang1)
| v1_xboole_0(k8_qc_lang1)
| ~ r3_qc_lang2(sK500(k8_qc_lang1),sK500(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_3110,c_3610]) ).
tcf(c_173879,plain,
( v1_relat_1(k8_qc_lang1)
| ~ r3_qc_lang2(sK201(k8_qc_lang1),sK201(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_165029,c_3610]) ).
tcf(c_173880,plain,
( v5_membered(k8_qc_lang1)
| ~ r3_qc_lang2(sK255(k8_qc_lang1),sK255(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_165030,c_3610]) ).
tcf(c_173881,plain,
( v1_membered(k8_qc_lang1)
| ~ r3_qc_lang2(sK313(k8_qc_lang1),sK313(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_165031,c_3610]) ).
tcf(c_173882,plain,
( v4_membered(k8_qc_lang1)
| ~ r3_qc_lang2(sK365(k8_qc_lang1),sK365(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_165035,c_3610]) ).
tcf(c_173883,plain,
( v2_membered(k8_qc_lang1)
| ~ r3_qc_lang2(sK372(k8_qc_lang1),sK372(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_165036,c_3610]) ).
tcf(c_173884,plain,
( v3_ordinal1(k8_qc_lang1)
| ~ r3_qc_lang2(sK377(k8_qc_lang1),sK377(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_165037,c_3610]) ).
tcf(c_173885,plain,
( v1_realset1(k8_qc_lang1)
| ~ r3_qc_lang2(sK484(k8_qc_lang1),sK484(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_165039,c_3610]) ).
tcf(c_173886,plain,
( v1_realset1(k8_qc_lang1)
| ~ r3_qc_lang2(sK485(k8_qc_lang1),sK485(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_165040,c_3610]) ).
tcf(c_173887,plain,
( v4_membered(k3_tarski(k8_qc_lang1))
| ~ r3_qc_lang2(sK231(k8_qc_lang1),sK231(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_165722,c_3610]) ).
tcf(c_173888,plain,
( v1_realset1(k8_qc_lang1)
| ~ r3_qc_lang2(sK87(k8_qc_lang1),sK87(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_170964,c_3610]) ).
tcf(c_173889,plain,
( v3_ordinal1(k8_qc_lang1)
| ~ r3_qc_lang2(sK87(k8_qc_lang1),sK87(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_170911,c_3610]) ).
tcf(c_173890,plain,
( v2_membered(k8_qc_lang1)
| ~ r3_qc_lang2(sK87(k8_qc_lang1),sK87(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_170893,c_3610]) ).
tcf(c_173891,plain,
( v4_membered(k8_qc_lang1)
| ~ r3_qc_lang2(sK87(k8_qc_lang1),sK87(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_170761,c_3610]) ).
tcf(c_173892,plain,
( v1_membered(k8_qc_lang1)
| ~ r3_qc_lang2(sK87(k8_qc_lang1),sK87(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_170743,c_3610]) ).
tcf(c_173893,plain,
( v5_membered(k8_qc_lang1)
| ~ r3_qc_lang2(sK87(k8_qc_lang1),sK87(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_170690,c_3610]) ).
tcf(c_173894,plain,
( v1_relat_1(k8_qc_lang1)
| ~ r3_qc_lang2(sK87(k8_qc_lang1),sK87(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_170605,c_3610]) ).
tcf(c_173927,plain,
( v4_finsub_1(k8_qc_lang1)
| ~ r3_qc_lang2(sK500(k8_qc_lang1),sK500(k8_qc_lang1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173878,c_3611]) ).
tcf(c_173930,plain,
( v4_finsub_1(k8_qc_lang1)
| ~ r3_qc_lang2(sK501(k8_qc_lang1),sK501(k8_qc_lang1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173877,c_3611]) ).
tcf(c_173933,plain,
( v4_finsub_1(k8_qc_lang1)
| ~ r3_qc_lang2(sK498(k8_qc_lang1),sK498(k8_qc_lang1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173876,c_3611]) ).
tcf(c_173936,plain,
( v4_finsub_1(k8_qc_lang1)
| ~ r3_qc_lang2(sK499(k8_qc_lang1),sK499(k8_qc_lang1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173875,c_3611]) ).
tcf(c_173939,plain,
( v4_finsub_1(k8_qc_lang1)
| ~ r3_qc_lang2(sK496(k8_qc_lang1),sK496(k8_qc_lang1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173874,c_3611]) ).
tcf(c_173942,plain,
( v4_finsub_1(k8_qc_lang1)
| ~ r3_qc_lang2(sK497(k8_qc_lang1),sK497(k8_qc_lang1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173873,c_3611]) ).
tcf(c_173950,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X0,k8_relat_1(X1,X0)) ),
inference(superposition,[status(thm)],[c_3893,c_376]) ).
tcf(c_173951,plain,
! [X0: $i] :
( v1_finset_1(k8_relat_1(X0,np__0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_3893,c_173328]) ).
tcf(c_173953,plain,
! [X0: $i] :
( v1_membered(k8_relat_1(X0,k4_numbers))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3893,c_168451]) ).
tcf(c_173954,plain,
! [X0: $i] :
( v2_membered(k8_relat_1(X0,k4_numbers))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3893,c_168450]) ).
tcf(c_173955,plain,
! [X0: $i] :
( v3_membered(k8_relat_1(X0,k4_numbers))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3893,c_168449]) ).
tcf(c_173956,plain,
! [X0: $i] :
( v4_membered(k8_relat_1(X0,k4_numbers))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3893,c_168448]) ).
tcf(c_173957,plain,
! [X0: $i] :
( v1_membered(k8_relat_1(X0,k3_numbers))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_3893,c_168454]) ).
tcf(c_173958,plain,
! [X0: $i] :
( v2_membered(k8_relat_1(X0,k3_numbers))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_3893,c_168453]) ).
tcf(c_173959,plain,
! [X0: $i] :
( v3_membered(k8_relat_1(X0,k3_numbers))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_3893,c_168452]) ).
tcf(c_173960,plain,
! [X0: $i] :
( v1_membered(k8_relat_1(X0,k1_numbers))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_3893,c_168442]) ).
tcf(c_173961,plain,
! [X0: $i] :
( v2_membered(k8_relat_1(X0,k1_numbers))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_3893,c_168441]) ).
tcf(c_173962,plain,
! [X0: $i] :
( v1_membered(k8_relat_1(X0,k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3893,c_168447]) ).
tcf(c_173963,plain,
! [X0: $i] :
( v2_membered(k8_relat_1(X0,k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3893,c_168446]) ).
tcf(c_173964,plain,
! [X0: $i] :
( v3_membered(k8_relat_1(X0,k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3893,c_168445]) ).
tcf(c_173965,plain,
! [X0: $i] :
( v4_membered(k8_relat_1(X0,k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3893,c_168444]) ).
tcf(c_173966,plain,
! [X0: $i] :
( v5_membered(k8_relat_1(X0,k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3893,c_168443]) ).
tcf(c_173967,plain,
! [X0: $i] :
( v1_membered(k8_relat_1(X0,k2_numbers))
| ~ v1_relat_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_3893,c_168455]) ).
tcf(c_174023,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k1_zfmisc_1(np__0)),k2_xboole_0(np__0,X0)),
inference(superposition,[status(thm)],[c_1112,c_49625]) ).
tcf(c_174024,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),k2_xboole_0(X1,X2)),
inference(superposition,[status(thm)],[c_2041,c_49625]) ).
tcf(c_174025,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k2_finseq_1(np__1)),k2_xboole_0(np__1,X0)),
inference(superposition,[status(thm)],[c_57872,c_49625]) ).
tcf(c_174027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : r1_tarski(k1_setfam_1(k2_tarski(k2_enumset1(X0,X0,X1,X2),X3)),k2_enumset1(X0,X1,X2,X4)),
inference(superposition,[status(thm)],[c_53,c_49625]) ).
tcf(c_174028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : r1_tarski(k1_setfam_1(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),X3)),k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X4))),
inference(superposition,[status(thm)],[c_501,c_49625]) ).
tcf(c_174029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,X1),X2)),k2_zfmisc_1(X0,k2_xboole_0(X1,X3))),
inference(superposition,[status(thm)],[c_504,c_49625]) ).
tcf(c_174030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,X1),X2)),k2_zfmisc_1(k2_xboole_0(X0,X3),X1)),
inference(superposition,[status(thm)],[c_503,c_49625]) ).
tcf(c_174031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),X2)),k4_xboole_0(k2_xboole_0(X0,X3),X1)),
inference(superposition,[status(thm)],[c_526,c_49625]) ).
tcf(c_174032,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),X0),
inference(superposition,[status(thm)],[c_544,c_49625]) ).
tcf(c_174034,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),k2_xboole_0(X2,X0)),
inference(superposition,[status(thm)],[c_546,c_49625]) ).
tcf(c_174035,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k2_tarski(np__0,X0)),X1),
inference(superposition,[status(thm)],[c_169170,c_49625]) ).
tcf(c_174036,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X0,X2))),
inference(superposition,[status(thm)],[c_49625,c_376]) ).
tcf(c_174037,plain,
! [X0: $i] : r1_tarski(np__1,k2_xboole_0(np__1,X0)),
inference(light_normalisation,[status(thm)],[c_174025,c_168377]) ).
tcf(c_174050,plain,
( v2_membered(k3_tarski(k5_numbers))
| v1_xcmplx_0(sK231(k5_numbers)) ),
inference(superposition,[status(thm)],[c_173787,c_1724]) ).
tcf(c_174058,plain,
( v1_xcmplx_0(sK231(k5_numbers))
| v1_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_173788,c_1724]) ).
tcf(c_174099,plain,
r1_tarski(k1_setfam_1(k1_zfmisc_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_1112,c_174032]) ).
tcf(c_174100,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),X1),
inference(superposition,[status(thm)],[c_2041,c_174032]) ).
tcf(c_174101,plain,
r1_tarski(k1_setfam_1(k2_finseq_1(np__1)),np__1),
inference(superposition,[status(thm)],[c_57872,c_174032]) ).
tcf(c_174102,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(X0,k1_setfam_1(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_174032,c_376]) ).
tcf(c_174103,plain,
! [X0: $i] : v1_finset_1(k1_setfam_1(k2_tarski(np__0,X0))),
inference(superposition,[status(thm)],[c_174032,c_173328]) ).
tcf(c_174104,plain,
! [X0: $i] : k1_setfam_1(k2_tarski(np__0,X0)) = np__0,
inference(superposition,[status(thm)],[c_174032,c_390]) ).
tcf(c_174105,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(k4_numbers,X0))),
inference(superposition,[status(thm)],[c_174032,c_168451]) ).
tcf(c_174106,plain,
! [X0: $i] : v2_membered(k1_setfam_1(k2_tarski(k4_numbers,X0))),
inference(superposition,[status(thm)],[c_174032,c_168450]) ).
tcf(c_174107,plain,
! [X0: $i] : v3_membered(k1_setfam_1(k2_tarski(k4_numbers,X0))),
inference(superposition,[status(thm)],[c_174032,c_168449]) ).
tcf(c_174108,plain,
! [X0: $i] : v4_membered(k1_setfam_1(k2_tarski(k4_numbers,X0))),
inference(superposition,[status(thm)],[c_174032,c_168448]) ).
tcf(c_174109,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(k3_numbers,X0))),
inference(superposition,[status(thm)],[c_174032,c_168454]) ).
tcf(c_174110,plain,
! [X0: $i] : v2_membered(k1_setfam_1(k2_tarski(k3_numbers,X0))),
inference(superposition,[status(thm)],[c_174032,c_168453]) ).
tcf(c_174111,plain,
! [X0: $i] : v3_membered(k1_setfam_1(k2_tarski(k3_numbers,X0))),
inference(superposition,[status(thm)],[c_174032,c_168452]) ).
tcf(c_174112,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(k1_numbers,X0))),
inference(superposition,[status(thm)],[c_174032,c_168442]) ).
tcf(c_174113,plain,
! [X0: $i] : v2_membered(k1_setfam_1(k2_tarski(k1_numbers,X0))),
inference(superposition,[status(thm)],[c_174032,c_168441]) ).
tcf(c_174114,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(k5_numbers,X0))),
inference(superposition,[status(thm)],[c_174032,c_168447]) ).
tcf(c_174115,plain,
! [X0: $i] : v2_membered(k1_setfam_1(k2_tarski(k5_numbers,X0))),
inference(superposition,[status(thm)],[c_174032,c_168446]) ).
tcf(c_174116,plain,
! [X0: $i] : v3_membered(k1_setfam_1(k2_tarski(k5_numbers,X0))),
inference(superposition,[status(thm)],[c_174032,c_168445]) ).
tcf(c_174117,plain,
! [X0: $i] : v4_membered(k1_setfam_1(k2_tarski(k5_numbers,X0))),
inference(superposition,[status(thm)],[c_174032,c_168444]) ).
tcf(c_174118,plain,
! [X0: $i] : v5_membered(k1_setfam_1(k2_tarski(k5_numbers,X0))),
inference(superposition,[status(thm)],[c_174032,c_168443]) ).
tcf(c_174119,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(k2_numbers,X0))),
inference(superposition,[status(thm)],[c_174032,c_168455]) ).
tcf(c_174120,plain,
r1_tarski(np__1,np__1),
inference(light_normalisation,[status(thm)],[c_174101,c_168377]) ).
tcf(c_174140,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_173860,c_78840,c_173860]) ).
tcf(c_174147,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_174140,c_100]) ).
tcf(c_174148,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_174140,c_78786]) ).
tcf(c_174157,plain,
! [X0: $i] : r1_xboole_0(k4_xboole_0(X0,X0),X0),
inference(superposition,[status(thm)],[c_3403,c_49626]) ).
tcf(c_174159,plain,
r1_xboole_0(k4_xboole_0(np__0,k1_setfam_1(k1_zfmisc_1(np__0))),np__0),
inference(superposition,[status(thm)],[c_1112,c_49626]) ).
tcf(c_174160,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X0))),X1),
inference(superposition,[status(thm)],[c_2041,c_49626]) ).
tcf(c_174161,plain,
r1_xboole_0(k4_xboole_0(np__1,k1_setfam_1(k2_finseq_1(np__1))),np__1),
inference(superposition,[status(thm)],[c_57872,c_49626]) ).
tcf(c_174162,plain,
! [X0: $i,X1: $i] : r1_xboole_0(X0,k4_xboole_0(X1,k1_setfam_1(k2_tarski(X1,X0)))),
inference(superposition,[status(thm)],[c_49626,c_727]) ).
tcf(c_174164,plain,
r1_xboole_0(k4_xboole_0(np__1,np__1),np__1),
inference(light_normalisation,[status(thm)],[c_174161,c_168377]) ).
tcf(c_174165,plain,
r1_xboole_0(k4_xboole_0(np__0,np__0),np__0),
inference(light_normalisation,[status(thm)],[c_174159,c_168212]) ).
tcf(c_174168,plain,
! [X0: $i] : r1_xboole_0(X0,k5_xboole_0(X0,X0)),
inference(superposition,[status(thm)],[c_3403,c_49627]) ).
tcf(c_174170,plain,
r1_xboole_0(k1_setfam_1(k1_zfmisc_1(np__0)),k5_xboole_0(np__0,np__0)),
inference(superposition,[status(thm)],[c_1112,c_49627]) ).
tcf(c_174172,plain,
r1_xboole_0(k1_setfam_1(k2_finseq_1(np__1)),k5_xboole_0(np__1,np__1)),
inference(superposition,[status(thm)],[c_57872,c_49627]) ).
tcf(c_174174,plain,
! [X0: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(X0,X0)),np__0),
inference(superposition,[status(thm)],[c_3130,c_49627]) ).
tcf(c_174175,plain,
! [X0: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(X0,np__0)),X0),
inference(superposition,[status(thm)],[c_3132,c_49627]) ).
tcf(c_174176,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_3133,c_49627]) ).
tcf(c_174177,plain,
! [X0: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(np__0,X0)),X0),
inference(superposition,[status(thm)],[c_172695,c_49627]) ).
tcf(c_174178,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_49627,c_727]) ).
tcf(c_174182,plain,
r1_xboole_0(np__1,k5_xboole_0(np__1,np__1)),
inference(light_normalisation,[status(thm)],[c_174172,c_168377]) ).
tcf(c_174183,plain,
r1_xboole_0(np__0,k5_xboole_0(np__0,np__0)),
inference(light_normalisation,[status(thm)],[c_174170,c_168212]) ).
tcf(c_174192,plain,
( v1_finset_1(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v1_finset_1(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_49628]) ).
tcf(c_174193,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2041,c_49628]) ).
tcf(c_174194,plain,
( v1_finset_1(k1_setfam_1(k2_finseq_1(np__1)))
| ~ v1_finset_1(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_49628]) ).
tcf(c_174205,plain,
( v1_relat_1(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_49629]) ).
tcf(c_174206,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2041,c_49629]) ).
tcf(c_174207,plain,
( v1_relat_1(k1_setfam_1(k2_finseq_1(np__1)))
| ~ v1_relat_1(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_49629]) ).
tcf(c_174208,plain,
! [X0: $i,X1: $i] :
( sP8(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_49629,c_931]) ).
tcf(c_174218,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(X0,k4_numbers))),
inference(superposition,[status(thm)],[c_2041,c_174105]) ).
tcf(c_174222,plain,
! [X0: $i] : v2_membered(k1_setfam_1(k2_tarski(X0,k4_numbers))),
inference(superposition,[status(thm)],[c_2041,c_174106]) ).
tcf(c_174227,plain,
! [X0: $i] : v3_membered(k1_setfam_1(k2_tarski(X0,k4_numbers))),
inference(superposition,[status(thm)],[c_2041,c_174107]) ).
tcf(c_174233,plain,
! [X0: $i] : v4_membered(k1_setfam_1(k2_tarski(X0,k4_numbers))),
inference(superposition,[status(thm)],[c_2041,c_174108]) ).
tcf(c_174240,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(X0,k3_numbers))),
inference(superposition,[status(thm)],[c_2041,c_174109]) ).
tcf(c_174244,plain,
! [X0: $i] : v2_membered(k1_setfam_1(k2_tarski(X0,k3_numbers))),
inference(superposition,[status(thm)],[c_2041,c_174110]) ).
tcf(c_174249,plain,
! [X0: $i] : v3_membered(k1_setfam_1(k2_tarski(X0,k3_numbers))),
inference(superposition,[status(thm)],[c_2041,c_174111]) ).
tcf(c_174255,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(X0,k1_numbers))),
inference(superposition,[status(thm)],[c_2041,c_174112]) ).
tcf(c_174259,plain,
! [X0: $i] : v2_membered(k1_setfam_1(k2_tarski(X0,k1_numbers))),
inference(superposition,[status(thm)],[c_2041,c_174113]) ).
tcf(c_174264,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(X0,k5_numbers))),
inference(superposition,[status(thm)],[c_2041,c_174114]) ).
tcf(c_174268,plain,
! [X0: $i] : v2_membered(k1_setfam_1(k2_tarski(X0,k5_numbers))),
inference(superposition,[status(thm)],[c_2041,c_174115]) ).
tcf(c_174273,plain,
! [X0: $i] : v3_membered(k1_setfam_1(k2_tarski(X0,k5_numbers))),
inference(superposition,[status(thm)],[c_2041,c_174116]) ).
tcf(c_174278,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_174148,c_78840,c_174148]) ).
tcf(c_174285,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_174278,c_100]) ).
tcf(c_174286,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_174278,c_78786]) ).
tcf(c_174300,plain,
( v1_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v3_membered(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_49630]) ).
tcf(c_174301,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_2041,c_49630]) ).
tcf(c_174302,plain,
( v1_membered(k1_setfam_1(k2_finseq_1(np__1)))
| ~ v3_membered(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_49630]) ).
tcf(c_174303,plain,
( v1_membered(np__1)
| ~ v3_membered(np__1) ),
inference(light_normalisation,[status(thm)],[c_174302,c_168377]) ).
tcf(c_174306,plain,
( v1_membered(np__0)
| ~ v3_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_174300,c_168212]) ).
tcf(c_174315,plain,
( v2_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v3_membered(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_49631]) ).
tcf(c_174316,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_2041,c_49631]) ).
tcf(c_174317,plain,
( v2_membered(k1_setfam_1(k2_finseq_1(np__1)))
| ~ v3_membered(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_49631]) ).
tcf(c_174319,plain,
( v2_membered(np__1)
| ~ v3_membered(np__1) ),
inference(light_normalisation,[status(thm)],[c_174317,c_168377]) ).
tcf(c_174322,plain,
( v2_membered(np__0)
| ~ v3_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_174315,c_168212]) ).
tcf(c_174331,plain,
( v3_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v3_membered(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_49632]) ).
tcf(c_174332,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_2041,c_49632]) ).
tcf(c_174333,plain,
( v3_membered(k1_setfam_1(k2_finseq_1(np__1)))
| ~ v3_membered(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_49632]) ).
tcf(c_174346,plain,
( v1_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v2_membered(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_49633]) ).
tcf(c_174347,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2041,c_49633]) ).
tcf(c_174348,plain,
( v1_membered(k1_setfam_1(k2_finseq_1(np__1)))
| ~ v2_membered(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_49633]) ).
tcf(c_174349,plain,
( v1_membered(np__1)
| ~ v2_membered(np__1) ),
inference(light_normalisation,[status(thm)],[c_174348,c_168377]) ).
tcf(c_174352,plain,
( v1_membered(np__0)
| ~ v2_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_174346,c_168212]) ).
tcf(c_174356,plain,
! [X0: $i] : v4_membered(k1_setfam_1(k2_tarski(X0,k5_numbers))),
inference(superposition,[status(thm)],[c_2041,c_174117]) ).
tcf(c_174363,plain,
! [X0: $i] : v5_membered(k1_setfam_1(k2_tarski(X0,k5_numbers))),
inference(superposition,[status(thm)],[c_2041,c_174118]) ).
tcf(c_174371,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(X0,k2_numbers))),
inference(superposition,[status(thm)],[c_2041,c_174119]) ).
tcf(c_174374,plain,
r1_xboole_0(np__1,np__0),
inference(demodulation,[status(thm)],[c_174182,c_3130]) ).
tcf(c_174408,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_174286,c_78840,c_174286]) ).
tcf(c_174415,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_174408,c_100]) ).
tcf(c_174416,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_174408,c_78786]) ).
tcf(c_174430,plain,
( v2_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v2_membered(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_49634]) ).
tcf(c_174431,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2041,c_49634]) ).
tcf(c_174432,plain,
( v2_membered(k1_setfam_1(k2_finseq_1(np__1)))
| ~ v2_membered(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_49634]) ).
tcf(c_174444,plain,
( v1_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v1_membered(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_49635]) ).
tcf(c_174445,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2041,c_49635]) ).
tcf(c_174446,plain,
( v1_membered(k1_setfam_1(k2_finseq_1(np__1)))
| ~ v1_membered(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_49635]) ).
tcf(c_174457,plain,
( v1_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v5_membered(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_49636]) ).
tcf(c_174458,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2041,c_49636]) ).
tcf(c_174459,plain,
( v1_membered(k1_setfam_1(k2_finseq_1(np__1)))
| ~ v5_membered(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_49636]) ).
tcf(c_174460,plain,
( v1_membered(np__1)
| ~ v5_membered(np__1) ),
inference(light_normalisation,[status(thm)],[c_174459,c_168377]) ).
tcf(c_174463,plain,
( v1_membered(np__0)
| ~ v5_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_174457,c_168212]) ).
tcf(c_174472,plain,
( v2_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v5_membered(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_49637]) ).
tcf(c_174473,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2041,c_49637]) ).
tcf(c_174474,plain,
( v2_membered(k1_setfam_1(k2_finseq_1(np__1)))
| ~ v5_membered(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_49637]) ).
tcf(c_174476,plain,
( v2_membered(np__1)
| ~ v5_membered(np__1) ),
inference(light_normalisation,[status(thm)],[c_174474,c_168377]) ).
tcf(c_174479,plain,
( v2_membered(np__0)
| ~ v5_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_174472,c_168212]) ).
tcf(c_174514,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_174416,c_78840,c_174416]) ).
tcf(c_174521,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_174514,c_100]) ).
tcf(c_174522,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_174514,c_78786]) ).
tcf(c_174536,plain,
( v3_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v5_membered(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_49638]) ).
tcf(c_174537,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2041,c_49638]) ).
tcf(c_174538,plain,
( v3_membered(k1_setfam_1(k2_finseq_1(np__1)))
| ~ v5_membered(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_49638]) ).
tcf(c_174541,plain,
( v3_membered(np__1)
| ~ v5_membered(np__1) ),
inference(light_normalisation,[status(thm)],[c_174538,c_168377]) ).
tcf(c_174544,plain,
( v3_membered(np__0)
| ~ v5_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_174536,c_168212]) ).
tcf(c_174553,plain,
( v4_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v5_membered(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_49639]) ).
tcf(c_174554,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2041,c_49639]) ).
tcf(c_174555,plain,
( v4_membered(k1_setfam_1(k2_finseq_1(np__1)))
| ~ v5_membered(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_49639]) ).
tcf(c_174559,plain,
( v4_membered(np__1)
| ~ v5_membered(np__1) ),
inference(light_normalisation,[status(thm)],[c_174555,c_168377]) ).
tcf(c_174562,plain,
( v4_membered(np__0)
| ~ v5_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_174553,c_168212]) ).
tcf(c_174571,plain,
( v5_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v5_membered(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_49640]) ).
tcf(c_174572,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2041,c_49640]) ).
tcf(c_174573,plain,
( v5_membered(k1_setfam_1(k2_finseq_1(np__1)))
| ~ v5_membered(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_49640]) ).
tcf(c_174588,plain,
( v1_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v4_membered(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_49641]) ).
tcf(c_174589,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2041,c_49641]) ).
tcf(c_174590,plain,
( v1_membered(k1_setfam_1(k2_finseq_1(np__1)))
| ~ v4_membered(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_49641]) ).
tcf(c_174591,plain,
( v1_membered(np__1)
| ~ v4_membered(np__1) ),
inference(light_normalisation,[status(thm)],[c_174590,c_168377]) ).
tcf(c_174594,plain,
( v1_membered(np__0)
| ~ v4_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_174588,c_168212]) ).
tcf(c_174611,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(X0,k1_setfam_1(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_174100,c_376]) ).
tcf(c_174612,plain,
! [X0: $i] : v1_finset_1(k1_setfam_1(k2_tarski(X0,np__0))),
inference(superposition,[status(thm)],[c_174100,c_173328]) ).
tcf(c_174613,plain,
! [X0: $i] : k1_setfam_1(k2_tarski(X0,np__0)) = np__0,
inference(superposition,[status(thm)],[c_174100,c_390]) ).
tcf(c_174635,plain,
( v5_membered(k5_finsub_1(np__0))
| v1_finset_1(sK255(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_47208,c_165771]) ).
tcf(c_174642,plain,
! [X0: $i] :
( v3_membered(k3_tarski(k5_finsub_1(X0)))
| v1_finset_1(sK232(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_165842,c_771]) ).
tcf(c_174643,plain,
( v2_membered(sK232(k1_zfmisc_1(k1_numbers)))
| v3_membered(k3_tarski(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165842,c_1772]) ).
tcf(c_174644,plain,
( v3_membered(k3_tarski(k1_zfmisc_1(k1_numbers)))
| v1_membered(sK232(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_165842,c_1771]) ).
tcf(c_174645,plain,
( v5_membered(sK232(k1_zfmisc_1(k5_numbers)))
| v3_membered(k3_tarski(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165842,c_2202]) ).
tcf(c_174646,plain,
( v3_membered(k3_tarski(k1_zfmisc_1(k5_numbers)))
| v4_membered(sK232(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165842,c_2201]) ).
tcf(c_174647,plain,
( v3_membered(sK232(k1_zfmisc_1(k5_numbers)))
| v3_membered(k3_tarski(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165842,c_2200]) ).
tcf(c_174648,plain,
( v2_membered(sK232(k1_zfmisc_1(k5_numbers)))
| v3_membered(k3_tarski(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165842,c_2199]) ).
tcf(c_174649,plain,
( v3_membered(k3_tarski(k1_zfmisc_1(k5_numbers)))
| v1_membered(sK232(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_165842,c_2198]) ).
tcf(c_174650,plain,
( v3_membered(k3_tarski(k1_zfmisc_1(k4_numbers)))
| v4_membered(sK232(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165842,c_2206]) ).
tcf(c_174651,plain,
( v3_membered(sK232(k1_zfmisc_1(k4_numbers)))
| v3_membered(k3_tarski(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165842,c_2205]) ).
tcf(c_174652,plain,
( v2_membered(sK232(k1_zfmisc_1(k4_numbers)))
| v3_membered(k3_tarski(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165842,c_2204]) ).
tcf(c_174653,plain,
( v3_membered(k3_tarski(k1_zfmisc_1(k4_numbers)))
| v1_membered(sK232(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_165842,c_2203]) ).
tcf(c_174654,plain,
( v3_membered(sK232(k1_zfmisc_1(k3_numbers)))
| v3_membered(k3_tarski(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165842,c_2226]) ).
tcf(c_174655,plain,
( v2_membered(sK232(k1_zfmisc_1(k3_numbers)))
| v3_membered(k3_tarski(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165842,c_2225]) ).
tcf(c_174656,plain,
( v3_membered(k3_tarski(k1_zfmisc_1(k3_numbers)))
| v1_membered(sK232(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_165842,c_2224]) ).
tcf(c_174657,plain,
( v3_membered(k3_tarski(k5_numbers))
| ~ v3_xreal_0(sK232(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165842,c_3350]) ).
tcf(c_174658,plain,
( v1_int_1(sK232(k5_numbers))
| v3_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165842,c_3351]) ).
tcf(c_174659,plain,
( v1_xreal_0(sK232(k5_numbers))
| v3_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165842,c_3349]) ).
tcf(c_174660,plain,
( v3_membered(k3_tarski(k5_numbers))
| v1_xcmplx_0(sK232(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165842,c_3348]) ).
tcf(c_174661,plain,
( v3_membered(k3_tarski(k5_numbers))
| v4_ordinal2(sK232(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165842,c_3347]) ).
tcf(c_174662,plain,
( v3_ordinal1(sK232(k5_numbers))
| v3_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165842,c_3346]) ).
tcf(c_174663,plain,
( v1_ordinal1(sK232(k5_numbers))
| v3_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165842,c_3345]) ).
tcf(c_174664,plain,
( v1_card_1(sK232(k5_numbers))
| v3_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165842,c_3344]) ).
tcf(c_174665,plain,
( v3_membered(k3_tarski(k5_numbers))
| v1_finset_1(sK232(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165842,c_3334]) ).
tcf(c_174666,plain,
( v3_membered(k3_tarski(k8_qc_lang1))
| ~ r3_qc_lang2(sK232(k8_qc_lang1),sK232(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_165842,c_3610]) ).
tcf(c_174667,plain,
( v3_membered(k3_tarski(k8_qc_lang1))
| ~ r1_qc_lang2(sK232(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_165842,c_3572]) ).
tcf(c_174668,plain,
( v3_membered(k3_tarski(k1_zfmisc_1(k2_numbers)))
| v1_membered(sK232(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_165842,c_3063]) ).
tcf(c_174670,plain,
! [X0: $i] :
( v3_membered(k3_tarski(k1_zfmisc_1(u1_struct_0(sK81(X0)))))
| m1_subset_1(sK232(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165842,c_78786]) ).
tcf(c_174671,plain,
( v3_membered(k3_tarski(k1_zfmisc_1(np__0)))
| v1_finset_1(sK232(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_165842,c_165485]) ).
tcf(c_174690,plain,
( v3_membered(k2_xboole_0(np__0,np__0))
| v1_finset_1(sK232(k1_zfmisc_1(np__0))) ),
inference(light_normalisation,[status(thm)],[c_174671,c_165601]) ).
tcf(c_174738,plain,
( v1_int_1(sK232(k5_numbers))
| v1_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_174658,c_166401]) ).
tcf(c_174739,plain,
( v1_int_1(sK232(k5_numbers))
| v2_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_174658,c_2227]) ).
tcf(c_174744,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_174522,c_78840,c_174522]) ).
tcf(c_174751,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_174744,c_100]) ).
tcf(c_174752,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_174744,c_78786]) ).
tcf(c_174766,plain,
( v2_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v4_membered(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_49642]) ).
tcf(c_174767,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2041,c_49642]) ).
tcf(c_174768,plain,
( v2_membered(k1_setfam_1(k2_finseq_1(np__1)))
| ~ v4_membered(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_49642]) ).
tcf(c_174770,plain,
( v2_membered(np__1)
| ~ v4_membered(np__1) ),
inference(light_normalisation,[status(thm)],[c_174768,c_168377]) ).
tcf(c_174773,plain,
( v2_membered(np__0)
| ~ v4_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_174766,c_168212]) ).
tcf(c_174782,plain,
( v3_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v4_membered(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_49643]) ).
tcf(c_174783,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2041,c_49643]) ).
tcf(c_174784,plain,
( v3_membered(k1_setfam_1(k2_finseq_1(np__1)))
| ~ v4_membered(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_49643]) ).
tcf(c_174787,plain,
( v3_membered(np__1)
| ~ v4_membered(np__1) ),
inference(light_normalisation,[status(thm)],[c_174784,c_168377]) ).
tcf(c_174790,plain,
( v3_membered(np__0)
| ~ v4_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_174782,c_168212]) ).
tcf(c_174799,plain,
( v4_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v4_membered(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_49644]) ).
tcf(c_174800,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2041,c_49644]) ).
tcf(c_174801,plain,
( v4_membered(k1_setfam_1(k2_finseq_1(np__1)))
| ~ v4_membered(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_49644]) ).
tcf(c_174814,plain,
k2_xboole_0(np__0,np__0) = np__0,
inference(superposition,[status(thm)],[c_1152,c_50200]) ).
tcf(c_174818,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_50200,c_553]) ).
tcf(c_174821,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X1,X2) = np__0 )
| ( k2_tarski(X0,X0) = k4_xboole_0(X1,X2) )
| ( k2_tarski(X0,X0) != X1 ) ),
inference(superposition,[status(thm)],[c_50200,c_519]) ).
tcf(c_174824,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( k4_xboole_0(X1,X2) = np__0 )
| ( k4_xboole_0(X1,X2) = X1 )
| ( k2_tarski(X0,X0) != X1 ) ),
inference(superposition,[status(thm)],[c_50200,c_511]) ).
tcf(c_174826,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(X0,k4_xboole_0(X0,X1)),X1) = k4_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_50200,c_526]) ).
tcf(c_174852,plain,
( v1_xreal_0(sK232(k5_numbers))
| v1_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_174659,c_166401]) ).
tcf(c_174853,plain,
( v1_xreal_0(sK232(k5_numbers))
| v2_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_174659,c_2227]) ).
tcf(c_174866,plain,
( v1_membered(k3_tarski(k5_numbers))
| v4_ordinal2(sK232(k5_numbers)) ),
inference(superposition,[status(thm)],[c_174661,c_166401]) ).
tcf(c_174867,plain,
( v2_membered(k3_tarski(k5_numbers))
| v4_ordinal2(sK232(k5_numbers)) ),
inference(superposition,[status(thm)],[c_174661,c_2227]) ).
tcf(c_174876,plain,
( v3_ordinal1(sK232(k5_numbers))
| v1_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_174662,c_166401]) ).
tcf(c_174877,plain,
( v3_ordinal1(sK232(k5_numbers))
| v2_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_174662,c_2227]) ).
tcf(c_174886,plain,
( v1_classes2(sK232(k5_numbers))
| v3_membered(k3_tarski(k5_numbers))
| ~ v2_classes1(sK232(k5_numbers)) ),
inference(superposition,[status(thm)],[c_174663,c_3174]) ).
tcf(c_174894,plain,
( v3_membered(k3_tarski(k5_numbers))
| ( sK389(sK232(k5_numbers)) = sK232(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_174664,c_2422]) ).
tcf(c_174902,plain,
( v1_membered(k3_tarski(k5_numbers))
| v1_finset_1(sK232(k5_numbers)) ),
inference(superposition,[status(thm)],[c_174665,c_166401]) ).
tcf(c_174903,plain,
( v2_membered(k3_tarski(k5_numbers))
| v1_finset_1(sK232(k5_numbers)) ),
inference(superposition,[status(thm)],[c_174665,c_2227]) ).
tcf(c_174913,plain,
( v1_xcmplx_0(sK232(k5_numbers))
| v1_membered(k3_tarski(k5_numbers)) ),
inference(superposition,[status(thm)],[c_174738,c_1724]) ).
tcf(c_174921,plain,
( v2_membered(k3_tarski(k5_numbers))
| v1_xcmplx_0(sK232(k5_numbers)) ),
inference(superposition,[status(thm)],[c_174739,c_1724]) ).
tcf(c_174928,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_174752,c_78840,c_174752]) ).
tcf(c_174935,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_174928,c_100]) ).
tcf(c_174936,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_174928,c_78786]) ).
tcf(c_174948,plain,
! [X0: $i] :
( r1_tarski(k2_pre_topc(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_67,c_100]) ).
tcf(c_174949,plain,
! [X0: $i] :
( m1_subset_1(k2_pre_topc(sK81(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_struct_0(sK81(X0)) ),
inference(superposition,[status(thm)],[c_67,c_78786]) ).
tcf(c_174961,plain,
k2_pre_topc(sK70) = u1_struct_0(sK70),
inference(superposition,[status(thm)],[c_249,c_80]) ).
tcf(c_174962,plain,
k2_pre_topc(sK72) = u1_struct_0(sK72),
inference(superposition,[status(thm)],[c_255,c_80]) ).
tcf(c_174963,plain,
k2_pre_topc(sK609) = u1_struct_0(sK609),
inference(superposition,[status(thm)],[c_4034,c_80]) ).
tcf(c_174964,plain,
k2_pre_topc(sK414) = u1_struct_0(sK414),
inference(superposition,[status(thm)],[c_163766,c_80]) ).
tcf(c_174965,plain,
k2_pre_topc(sK494) = u1_struct_0(sK494),
inference(superposition,[status(thm)],[c_163809,c_80]) ).
tcf(c_174966,plain,
k2_pre_topc(sK571) = u1_struct_0(sK571),
inference(superposition,[status(thm)],[c_163383,c_80]) ).
tcf(c_174967,plain,
k2_pre_topc(sK133) = u1_struct_0(sK133),
inference(superposition,[status(thm)],[c_163382,c_80]) ).
tcf(c_174968,plain,
k2_pre_topc(sK575) = u1_struct_0(sK575),
inference(superposition,[status(thm)],[c_163384,c_80]) ).
tcf(c_174969,plain,
k2_pre_topc(sK576) = u1_struct_0(sK576),
inference(superposition,[status(thm)],[c_163385,c_80]) ).
tcf(c_174970,plain,
k2_pre_topc(sK42) = u1_struct_0(sK42),
inference(superposition,[status(thm)],[c_163390,c_80]) ).
tcf(c_174971,plain,
k2_pre_topc(sK44) = u1_struct_0(sK44),
inference(superposition,[status(thm)],[c_163391,c_80]) ).
tcf(c_174972,plain,
! [X0: $i] :
( ( k2_pre_topc(sK81(X0)) = u1_struct_0(sK81(X0)) )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_163392,c_80]) ).
tcf(c_174973,plain,
k2_pre_topc(sK115) = u1_struct_0(sK115),
inference(superposition,[status(thm)],[c_163788,c_80]) ).
tcf(c_174974,plain,
k2_pre_topc(sK265) = u1_struct_0(sK265),
inference(superposition,[status(thm)],[c_163789,c_80]) ).
tcf(c_174975,plain,
k2_pre_topc(sK266) = u1_struct_0(sK266),
inference(superposition,[status(thm)],[c_163790,c_80]) ).
tcf(c_174976,plain,
k2_pre_topc(sK267) = u1_struct_0(sK267),
inference(superposition,[status(thm)],[c_163791,c_80]) ).
tcf(c_174977,plain,
k2_pre_topc(sK268) = u1_struct_0(sK268),
inference(superposition,[status(thm)],[c_163792,c_80]) ).
tcf(c_174978,plain,
k2_pre_topc(sK421) = u1_struct_0(sK421),
inference(superposition,[status(thm)],[c_163813,c_80]) ).
tcf(c_174979,plain,
k2_pre_topc(sK422) = u1_struct_0(sK422),
inference(superposition,[status(thm)],[c_163814,c_80]) ).
tcf(c_174980,plain,
k2_pre_topc(sK269) = u1_struct_0(sK269),
inference(superposition,[status(thm)],[c_163817,c_80]) ).
tcf(c_174981,plain,
! [X0: $i] :
( ( k2_pre_topc(k1_lattice2(X0)) = u1_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_165442,c_80]) ).
tcf(c_174986,plain,
~ m1_subset_1(u1_struct_0(sK42),u1_struct_0(k6_lopclset(sK42))),
inference(demodulation,[status(thm)],[c_54,c_174970]) ).
tcf(c_174999,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK43(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),
inference(superposition,[status(thm)],[c_58,c_96]) ).
tcf(c_175000,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_99,c_96]) ).
tcf(c_175002,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_relat_1(sK54(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_119,c_96]) ).
tcf(c_175003,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_relat_1(sK141(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_803,c_96]) ).
tcf(c_175004,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_relat_1(sK142(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_811,c_96]) ).
tcf(c_175005,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK497(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_3103,c_96]) ).
tcf(c_175006,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK496(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_3104,c_96]) ).
tcf(c_175007,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK499(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_3106,c_96]) ).
tcf(c_175008,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK498(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_3107,c_96]) ).
tcf(c_175009,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK501(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_3109,c_96]) ).
tcf(c_175010,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK500(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_3110,c_96]) ).
tcf(c_175011,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK201(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_165029,c_96]) ).
tcf(c_175012,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK255(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_165030,c_96]) ).
tcf(c_175013,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK313(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_165031,c_96]) ).
tcf(c_175014,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK365(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_165035,c_96]) ).
tcf(c_175015,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK372(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_165036,c_96]) ).
tcf(c_175016,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK377(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_165037,c_96]) ).
tcf(c_175017,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK484(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_165039,c_96]) ).
tcf(c_175018,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK485(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_165040,c_96]) ).
tcf(c_175019,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_165722,c_96]) ).
tcf(c_175020,plain,
! [X0: $i,X1: $i] :
( v3_membered(k3_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| v1_relat_1(sK232(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_165842,c_96]) ).
tcf(c_175021,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_170964,c_96]) ).
tcf(c_175022,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_170911,c_96]) ).
tcf(c_175023,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_170893,c_96]) ).
tcf(c_175024,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_170761,c_96]) ).
tcf(c_175025,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_170743,c_96]) ).
tcf(c_175026,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_170690,c_96]) ).
tcf(c_175027,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_170605,c_96]) ).
tcf(c_175028,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_629,c_96]) ).
tcf(c_175074,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK500(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175010,c_121]) ).
tcf(c_175077,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK501(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175009,c_121]) ).
tcf(c_175080,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK498(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175008,c_121]) ).
tcf(c_175083,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK499(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175007,c_121]) ).
tcf(c_175086,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK496(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175006,c_121]) ).
tcf(c_175089,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK497(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175005,c_121]) ).
tcf(c_175140,plain,
( v3_struct_0(sK42)
| ~ l1_struct_0(sK42)
| ~ v1_xboole_0(u1_struct_0(sK42)) ),
inference(superposition,[status(thm)],[c_174970,c_82]) ).
tcf(c_175141,plain,
( m1_subset_1(u1_struct_0(sK42),k1_zfmisc_1(u1_struct_0(sK42)))
| ~ l1_struct_0(sK42) ),
inference(superposition,[status(thm)],[c_174970,c_67]) ).
tcf(c_175142,plain,
m1_subset_1(u1_struct_0(sK42),k1_zfmisc_1(u1_struct_0(sK42))),
inference(forward_subsumption_resolution,[status(thm)],[c_175141,c_163390]) ).
tcf(c_175143,plain,
~ v1_xboole_0(u1_struct_0(sK42)),
inference(forward_subsumption_resolution,[status(thm)],[c_175140,c_55,c_163390]) ).
tcf(c_175144,plain,
r1_tarski(u1_struct_0(sK42),u1_struct_0(sK42)),
inference(superposition,[status(thm)],[c_175142,c_100]) ).
tcf(c_175162,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_174936,c_78840,c_174936]) ).
tcf(c_175169,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_175162,c_100]) ).
tcf(c_175170,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_175162,c_78786]) ).
tcf(c_175182,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_122,c_376]) ).
tcf(c_175193,plain,
! [X0: $i] :
( v3_ordinal1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_251,c_165079]) ).
tcf(c_175194,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = np__0 )
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_251,c_446]) ).
tcf(c_175195,plain,
! [X0: $i] :
( v2_funct_1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_251,c_7115]) ).
tcf(c_175196,plain,
! [X0: $i] :
( v1_realset1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_251,c_3026]) ).
tcf(c_175197,plain,
! [X0: $i] :
( v5_membered(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_251,c_2186]) ).
tcf(c_175198,plain,
! [X0: $i] :
( v4_membered(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_251,c_2185]) ).
tcf(c_175199,plain,
! [X0: $i] :
( v3_membered(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_251,c_2184]) ).
tcf(c_175200,plain,
! [X0: $i] :
( v2_membered(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_251,c_2183]) ).
tcf(c_175201,plain,
! [X0: $i] :
( v1_membered(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_251,c_2182]) ).
tcf(c_175202,plain,
! [X0: $i] :
( v1_finset_1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_251,c_816]) ).
tcf(c_175203,plain,
! [X0: $i] :
( v1_relat_1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_251,c_440]) ).
tcf(c_175204,plain,
! [X0: $i] :
( v1_funct_1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_251,c_435]) ).
tcf(c_175271,plain,
( v3_struct_0(sK70)
| ~ l1_struct_0(sK70)
| ~ v1_xboole_0(u1_struct_0(sK70)) ),
inference(superposition,[status(thm)],[c_174961,c_82]) ).
tcf(c_175272,plain,
( m1_subset_1(u1_struct_0(sK70),k1_zfmisc_1(u1_struct_0(sK70)))
| ~ l1_struct_0(sK70) ),
inference(superposition,[status(thm)],[c_174961,c_67]) ).
tcf(c_175273,plain,
m1_subset_1(u1_struct_0(sK70),k1_zfmisc_1(u1_struct_0(sK70))),
inference(forward_subsumption_resolution,[status(thm)],[c_175272,c_249]) ).
tcf(c_175274,plain,
( v3_struct_0(sK70)
| ~ v1_xboole_0(u1_struct_0(sK70)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175271,c_249]) ).
tcf(c_175277,plain,
( v3_struct_0(sK72)
| ~ l1_struct_0(sK72)
| ~ v1_xboole_0(u1_struct_0(sK72)) ),
inference(superposition,[status(thm)],[c_174962,c_82]) ).
tcf(c_175278,plain,
( m1_subset_1(u1_struct_0(sK72),k1_zfmisc_1(u1_struct_0(sK72)))
| ~ l1_struct_0(sK72) ),
inference(superposition,[status(thm)],[c_174962,c_67]) ).
tcf(c_175279,plain,
m1_subset_1(u1_struct_0(sK72),k1_zfmisc_1(u1_struct_0(sK72))),
inference(forward_subsumption_resolution,[status(thm)],[c_175278,c_255]) ).
tcf(c_175280,plain,
~ v1_xboole_0(u1_struct_0(sK72)),
inference(forward_subsumption_resolution,[status(thm)],[c_175277,c_256,c_255]) ).
tcf(c_175282,plain,
( v3_struct_0(sK609)
| ~ l1_struct_0(sK609)
| ~ v1_xboole_0(u1_struct_0(sK609)) ),
inference(superposition,[status(thm)],[c_174963,c_82]) ).
tcf(c_175283,plain,
( m1_subset_1(u1_struct_0(sK609),k1_zfmisc_1(u1_struct_0(sK609)))
| ~ l1_struct_0(sK609) ),
inference(superposition,[status(thm)],[c_174963,c_67]) ).
tcf(c_175284,plain,
m1_subset_1(u1_struct_0(sK609),k1_zfmisc_1(u1_struct_0(sK609))),
inference(forward_subsumption_resolution,[status(thm)],[c_175283,c_4034]) ).
tcf(c_175285,plain,
( v3_struct_0(sK609)
| ~ v1_xboole_0(u1_struct_0(sK609)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175282,c_4034]) ).
tcf(c_175288,plain,
( v3_struct_0(sK414)
| ~ l1_struct_0(sK414)
| ~ v1_xboole_0(u1_struct_0(sK414)) ),
inference(superposition,[status(thm)],[c_174964,c_82]) ).
tcf(c_175289,plain,
( m1_subset_1(u1_struct_0(sK414),k1_zfmisc_1(u1_struct_0(sK414)))
| ~ l1_struct_0(sK414) ),
inference(superposition,[status(thm)],[c_174964,c_67]) ).
tcf(c_175290,plain,
m1_subset_1(u1_struct_0(sK414),k1_zfmisc_1(u1_struct_0(sK414))),
inference(forward_subsumption_resolution,[status(thm)],[c_175289,c_163766]) ).
tcf(c_175291,plain,
( v3_struct_0(sK414)
| ~ v1_xboole_0(u1_struct_0(sK414)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175288,c_163766]) ).
tcf(c_175294,plain,
( v3_struct_0(sK494)
| ~ l1_struct_0(sK494)
| ~ v1_xboole_0(u1_struct_0(sK494)) ),
inference(superposition,[status(thm)],[c_174965,c_82]) ).
tcf(c_175295,plain,
( m1_subset_1(u1_struct_0(sK494),k1_zfmisc_1(u1_struct_0(sK494)))
| ~ l1_struct_0(sK494) ),
inference(superposition,[status(thm)],[c_174965,c_67]) ).
tcf(c_175296,plain,
m1_subset_1(u1_struct_0(sK494),k1_zfmisc_1(u1_struct_0(sK494))),
inference(forward_subsumption_resolution,[status(thm)],[c_175295,c_163809]) ).
tcf(c_175297,plain,
( v3_struct_0(sK494)
| ~ v1_xboole_0(u1_struct_0(sK494)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175294,c_163809]) ).
tcf(c_175300,plain,
( v3_struct_0(sK571)
| ~ l1_struct_0(sK571)
| ~ v1_xboole_0(u1_struct_0(sK571)) ),
inference(superposition,[status(thm)],[c_174966,c_82]) ).
tcf(c_175301,plain,
( m1_subset_1(u1_struct_0(sK571),k1_zfmisc_1(u1_struct_0(sK571)))
| ~ l1_struct_0(sK571) ),
inference(superposition,[status(thm)],[c_174966,c_67]) ).
tcf(c_175302,plain,
m1_subset_1(u1_struct_0(sK571),k1_zfmisc_1(u1_struct_0(sK571))),
inference(forward_subsumption_resolution,[status(thm)],[c_175301,c_163383]) ).
tcf(c_175303,plain,
~ v1_xboole_0(u1_struct_0(sK571)),
inference(forward_subsumption_resolution,[status(thm)],[c_175300,c_3695,c_163383]) ).
tcf(c_175305,plain,
( v3_struct_0(sK133)
| ~ l1_struct_0(sK133)
| ~ v1_xboole_0(u1_struct_0(sK133)) ),
inference(superposition,[status(thm)],[c_174967,c_82]) ).
tcf(c_175306,plain,
( m1_subset_1(u1_struct_0(sK133),k1_zfmisc_1(u1_struct_0(sK133)))
| ~ l1_struct_0(sK133) ),
inference(superposition,[status(thm)],[c_174967,c_67]) ).
tcf(c_175307,plain,
m1_subset_1(u1_struct_0(sK133),k1_zfmisc_1(u1_struct_0(sK133))),
inference(forward_subsumption_resolution,[status(thm)],[c_175306,c_163382]) ).
tcf(c_175308,plain,
( v3_struct_0(sK133)
| ~ v1_xboole_0(u1_struct_0(sK133)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175305,c_163382]) ).
tcf(c_175311,plain,
( v3_struct_0(sK575)
| ~ l1_struct_0(sK575)
| ~ v1_xboole_0(u1_struct_0(sK575)) ),
inference(superposition,[status(thm)],[c_174968,c_82]) ).
tcf(c_175312,plain,
( m1_subset_1(u1_struct_0(sK575),k1_zfmisc_1(u1_struct_0(sK575)))
| ~ l1_struct_0(sK575) ),
inference(superposition,[status(thm)],[c_174968,c_67]) ).
tcf(c_175313,plain,
m1_subset_1(u1_struct_0(sK575),k1_zfmisc_1(u1_struct_0(sK575))),
inference(forward_subsumption_resolution,[status(thm)],[c_175312,c_163384]) ).
tcf(c_175314,plain,
~ v1_xboole_0(u1_struct_0(sK575)),
inference(forward_subsumption_resolution,[status(thm)],[c_175311,c_3711,c_163384]) ).
tcf(c_175316,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_175170,c_78840,c_175170]) ).
tcf(c_175323,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_175316,c_100]) ).
tcf(c_175324,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_175316,c_78786]) ).
tcf(c_175338,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168873,c_377]) ).
tcf(c_175339,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_122,c_377]) ).
tcf(c_175342,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_540,c_377]) ).
tcf(c_175343,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| ~ v1_relat_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_769,c_377]) ).
tcf(c_175344,plain,
! [X0: $i] :
( v1_relat_1(k2_relat_1(sK146(X0,np__0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_843,c_377]) ).
tcf(c_175347,plain,
! [X0: $i] :
( v1_relat_1(k2_tarski(X0,X0))
| ~ v1_relat_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1102,c_377]) ).
tcf(c_175349,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k3_tarski(X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1193,c_377]) ).
tcf(c_175350,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k1_zfmisc_1(k3_tarski(X0))) ),
inference(superposition,[status(thm)],[c_1184,c_377]) ).
tcf(c_175351,plain,
( v1_relat_1(k5_numbers)
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_1302,c_377]) ).
tcf(c_175353,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_tarski(X0,X0))
| ~ v1_relat_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2037,c_377]) ).
tcf(c_175354,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_tarski(X1,X1))
| ~ v1_relat_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2020,c_377]) ).
tcf(c_175355,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k4_numbers)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2112,c_377]) ).
tcf(c_175356,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k3_numbers)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_2216,c_377]) ).
tcf(c_175357,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k1_numbers)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2246,c_377]) ).
tcf(c_175358,plain,
! [X0: $i] :
( v1_relat_1(X0)
| r2_hidden(sK375(X0),X0)
| ~ v1_relat_1(sK376(X0)) ),
inference(superposition,[status(thm)],[c_2256,c_377]) ).
tcf(c_175359,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v3_ordinal1(sK375(X0))
| ~ v1_relat_1(sK376(X0)) ),
inference(superposition,[status(thm)],[c_2254,c_377]) ).
tcf(c_175360,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k5_numbers)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2334,c_377]) ).
tcf(c_175362,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_2876,c_377]) ).
tcf(c_175363,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_2877,c_377]) ).
tcf(c_175364,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k2_numbers)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3060,c_377]) ).
tcf(c_175365,plain,
( v1_relat_1(k5_numbers)
| ~ v1_relat_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_3068,c_377]) ).
tcf(c_175366,plain,
( v1_relat_1(k4_numbers)
| ~ v1_relat_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_3069,c_377]) ).
tcf(c_175367,plain,
( v1_relat_1(k3_numbers)
| ~ v1_relat_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_3070,c_377]) ).
tcf(c_175368,plain,
( v1_relat_1(k1_numbers)
| ~ v1_relat_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_3071,c_377]) ).
tcf(c_175369,plain,
( v1_relat_1(k5_numbers)
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3091,c_377]) ).
tcf(c_175370,plain,
( v1_relat_1(k4_numbers)
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_3092,c_377]) ).
tcf(c_175371,plain,
( v1_relat_1(k4_numbers)
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_3093,c_377]) ).
tcf(c_175372,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_3126,c_377]) ).
tcf(c_175373,plain,
( v1_relat_1(k5_numbers)
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_3145,c_377]) ).
tcf(c_175374,plain,
( v1_relat_1(k3_numbers)
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_3146,c_377]) ).
tcf(c_175375,plain,
! [X0: $i] :
( v1_relat_1(k4_classes1(k1_card_1(X0)))
| ~ v2_classes1(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3158,c_377]) ).
tcf(c_175376,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_3411,c_377]) ).
tcf(c_175377,plain,
! [X0: $i] :
( v1_relat_1(k1_setfam_1(X0))
| ~ v1_relat_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_3412,c_377]) ).
tcf(c_175378,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_funct_2(X0,X1))
| ~ v1_relat_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_3467,c_377]) ).
tcf(c_175380,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_relat_1(sK54(X0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_168498,c_377]) ).
tcf(c_175381,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_relat_1(sK141(X0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_168499,c_377]) ).
tcf(c_175382,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_relat_1(sK142(X0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_168500,c_377]) ).
tcf(c_175383,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k1_setfam_1(k2_tarski(X0,X2)))
| ~ v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_49625,c_377]) ).
tcf(c_175384,plain,
! [X0: $i] :
( v1_relat_1(k1_setfam_1(k1_zfmisc_1(X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_164196,c_377]) ).
tcf(c_175385,plain,
! [X0: $i] :
( v1_relat_1(k1_zfmisc_1(np__0))
| ~ v1_relat_1(k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_166778,c_377]) ).
tcf(c_175386,plain,
! [X0: $i] :
( v1_relat_1(k1_zfmisc_1(np__0))
| ~ v1_relat_1(k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_166781,c_377]) ).
tcf(c_175387,plain,
! [X0: $i] :
( v1_relat_1(k2_finseq_1(np__1))
| ~ v1_relat_1(k2_tarski(np__1,X0)) ),
inference(superposition,[status(thm)],[c_168386,c_377]) ).
tcf(c_175388,plain,
! [X0: $i] :
( v1_relat_1(k2_finseq_1(np__1))
| ~ v1_relat_1(k2_tarski(X0,np__1)) ),
inference(superposition,[status(thm)],[c_168387,c_377]) ).
tcf(c_175389,plain,
( v1_relat_1(k2_finseq_1(np__1))
| ~ v1_relat_1(k1_zfmisc_1(np__1)) ),
inference(superposition,[status(thm)],[c_168397,c_377]) ).
tcf(c_175390,plain,
! [X0: $i] :
( v1_relat_1(sK43(k1_zfmisc_1(X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_168495,c_377]) ).
tcf(c_175391,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X1)
| ~ v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_169158,c_377]) ).
tcf(c_175392,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k3_relat_1(k6_partfun1(X0))) ),
inference(superposition,[status(thm)],[c_171630,c_377]) ).
tcf(c_175393,plain,
! [X0: $i] :
( v1_relat_1(k1_funct_2(X0,np__0))
| ~ v1_relat_1(k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173434,c_377]) ).
tcf(c_175535,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(sK85(X0,k1_zfmisc_1(X1)),X1) ),
inference(superposition,[status(thm)],[c_125,c_397]) ).
tcf(c_175537,plain,
! [X0: $i] :
( r1_tarski(X0,k1_numbers)
| ~ v1_xreal_0(sK85(X0,k1_numbers)) ),
inference(superposition,[status(thm)],[c_2362,c_397]) ).
tcf(c_175538,plain,
! [X0: $i] :
( r1_tarski(X0,k4_numbers)
| ~ v1_int_1(sK85(X0,k4_numbers)) ),
inference(superposition,[status(thm)],[c_3086,c_397]) ).
tcf(c_175554,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK43(X0),X0) ),
inference(superposition,[status(thm)],[c_58,c_423]) ).
tcf(c_175555,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_67,c_423]) ).
tcf(c_175557,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(np__0,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_116,c_423]) ).
tcf(c_175558,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK54(X0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_119,c_423]) ).
tcf(c_175559,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k5_finsub_1(X0))
| r2_hidden(sK135(X0),k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_758,c_423]) ).
tcf(c_175560,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK141(X0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_803,c_423]) ).
tcf(c_175561,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK142(X0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_811,c_423]) ).
tcf(c_175562,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_1231,c_423]) ).
tcf(c_175563,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| r2_hidden(k5_numbers,k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1300,c_423]) ).
tcf(c_175564,plain,
( v1_xboole_0(k1_numbers)
| r2_hidden(sK314,k1_numbers) ),
inference(superposition,[status(thm)],[c_1726,c_423]) ).
tcf(c_175566,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK497(X0),X0) ),
inference(superposition,[status(thm)],[c_3103,c_423]) ).
tcf(c_175567,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK496(X0),X0) ),
inference(superposition,[status(thm)],[c_3104,c_423]) ).
tcf(c_175568,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK499(X0),X0) ),
inference(superposition,[status(thm)],[c_3106,c_423]) ).
tcf(c_175569,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK498(X0),X0) ),
inference(superposition,[status(thm)],[c_3107,c_423]) ).
tcf(c_175570,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK501(X0),X0) ),
inference(superposition,[status(thm)],[c_3109,c_423]) ).
tcf(c_175571,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK500(X0),X0) ),
inference(superposition,[status(thm)],[c_3110,c_423]) ).
tcf(c_175581,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK562)
| v1_xboole_0(u1_struct_0(sK562))
| r2_hidden(k3_rlvect_1(sK562,X0,X1),u1_struct_0(sK562))
| ~ m1_subset_1(X1,k1_numbers)
| ~ m1_subset_1(X0,u1_struct_0(sK562)) ),
inference(superposition,[status(thm)],[c_77992,c_423]) ).
tcf(c_175582,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(sK563))
| r2_hidden(k3_rlvect_1(sK563,X0,X1),u1_struct_0(sK563))
| ~ m1_subset_1(X1,k1_numbers)
| ~ m1_subset_1(X0,u1_struct_0(sK563)) ),
inference(superposition,[status(thm)],[c_78010,c_423]) ).
tcf(c_175583,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_163360,c_423]) ).
tcf(c_175584,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_163412,c_423]) ).
tcf(c_175585,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_163505,c_423]) ).
tcf(c_175586,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_163626,c_423]) ).
tcf(c_175587,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_163738,c_423]) ).
tcf(c_175588,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_163821,c_423]) ).
tcf(c_175589,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_163861,c_423]) ).
tcf(c_175590,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_163968,c_423]) ).
tcf(c_175591,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_164238,c_423]) ).
tcf(c_175592,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_164362,c_423]) ).
tcf(c_175593,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_164538,c_423]) ).
tcf(c_175594,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_164736,c_423]) ).
tcf(c_175595,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_164899,c_423]) ).
tcf(c_175596,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165240,c_423]) ).
tcf(c_175597,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK201(X0),X0) ),
inference(superposition,[status(thm)],[c_165029,c_423]) ).
tcf(c_175598,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK255(X0),X0) ),
inference(superposition,[status(thm)],[c_165030,c_423]) ).
tcf(c_175599,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK313(X0),X0) ),
inference(superposition,[status(thm)],[c_165031,c_423]) ).
tcf(c_175603,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK365(X0),X0) ),
inference(superposition,[status(thm)],[c_165035,c_423]) ).
tcf(c_175604,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK372(X0),X0) ),
inference(superposition,[status(thm)],[c_165036,c_423]) ).
tcf(c_175605,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK377(X0),X0) ),
inference(superposition,[status(thm)],[c_165037,c_423]) ).
tcf(c_175607,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK484(X0),X0) ),
inference(superposition,[status(thm)],[c_165039,c_423]) ).
tcf(c_175608,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK485(X0),X0) ),
inference(superposition,[status(thm)],[c_165040,c_423]) ).
tcf(c_175610,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| r2_hidden(np__0,k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_165175,c_423]) ).
tcf(c_175612,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165461,c_423]) ).
tcf(c_175613,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165557,c_423]) ).
tcf(c_175614,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165693,c_423]) ).
tcf(c_175615,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165825,c_423]) ).
tcf(c_175617,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_165992,c_423]) ).
tcf(c_175619,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_166145,c_423]) ).
tcf(c_175620,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_166278,c_423]) ).
tcf(c_175621,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_166370,c_423]) ).
tcf(c_175623,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_166498,c_423]) ).
tcf(c_175624,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_166601,c_423]) ).
tcf(c_175625,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_166724,c_423]) ).
tcf(c_175626,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_166835,c_423]) ).
tcf(c_175627,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_166956,c_423]) ).
tcf(c_175628,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_167147,c_423]) ).
tcf(c_175629,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_167358,c_423]) ).
tcf(c_175630,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_167532,c_423]) ).
tcf(c_175631,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_167679,c_423]) ).
tcf(c_175632,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_167768,c_423]) ).
tcf(c_175633,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_167895,c_423]) ).
tcf(c_175634,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_168010,c_423]) ).
tcf(c_175635,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_168135,c_423]) ).
tcf(c_175636,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_168221,c_423]) ).
tcf(c_175637,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_168357,c_423]) ).
tcf(c_175638,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_168690,c_423]) ).
tcf(c_175640,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_168853,c_423]) ).
tcf(c_175641,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_169110,c_423]) ).
tcf(c_175642,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_169296,c_423]) ).
tcf(c_175644,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_169476,c_423]) ).
tcf(c_175646,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_169586,c_423]) ).
tcf(c_175647,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_169716,c_423]) ).
tcf(c_175648,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_169815,c_423]) ).
tcf(c_175649,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170013,c_423]) ).
tcf(c_175650,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170193,c_423]) ).
tcf(c_175651,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170323,c_423]) ).
tcf(c_175652,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170442,c_423]) ).
tcf(c_175653,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170523,c_423]) ).
tcf(c_175654,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170638,c_423]) ).
tcf(c_175655,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_170964,c_423]) ).
tcf(c_175656,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_170911,c_423]) ).
tcf(c_175657,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_170893,c_423]) ).
tcf(c_175658,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_170761,c_423]) ).
tcf(c_175659,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_170743,c_423]) ).
tcf(c_175660,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_170690,c_423]) ).
tcf(c_175661,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_170605,c_423]) ).
tcf(c_175662,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_170782,c_423]) ).
tcf(c_175663,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_171000,c_423]) ).
tcf(c_175664,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_171124,c_423]) ).
tcf(c_175666,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_171262,c_423]) ).
tcf(c_175668,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_171454,c_423]) ).
tcf(c_175669,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_171599,c_423]) ).
tcf(c_175670,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_171853,c_423]) ).
tcf(c_175671,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_172430,c_423]) ).
tcf(c_175672,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_172882,c_423]) ).
tcf(c_175673,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_173096,c_423]) ).
tcf(c_175674,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_173169,c_423]) ).
tcf(c_175675,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_173416,c_423]) ).
tcf(c_175676,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_173852,c_423]) ).
tcf(c_175677,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_174140,c_423]) ).
tcf(c_175678,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_174278,c_423]) ).
tcf(c_175679,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_174408,c_423]) ).
tcf(c_175680,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_174514,c_423]) ).
tcf(c_175681,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_174744,c_423]) ).
tcf(c_175682,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_174928,c_423]) ).
tcf(c_175683,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_175162,c_423]) ).
tcf(c_175684,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK42)))
| r2_hidden(u1_struct_0(sK42),k1_zfmisc_1(u1_struct_0(sK42))) ),
inference(superposition,[status(thm)],[c_175142,c_423]) ).
tcf(c_175685,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_175316,c_423]) ).
tcf(c_175686,plain,
r2_hidden(sK314,k1_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_175564,c_2048]) ).
tcf(c_175691,plain,
r2_hidden(k5_numbers,k1_zfmisc_1(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_175563,c_121]) ).
tcf(c_175692,plain,
! [X0: $i] : r2_hidden(np__0,k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_175557,c_121]) ).
tcf(c_175756,plain,
r2_hidden(u1_struct_0(sK42),k1_zfmisc_1(u1_struct_0(sK42))),
inference(forward_subsumption_resolution,[status(thm)],[c_175684,c_121]) ).
tcf(c_175766,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK142(X0),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175561,c_121]) ).
tcf(c_175769,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK141(X0),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175560,c_121]) ).
tcf(c_175775,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK54(X0),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175558,c_121]) ).
tcf(c_175796,plain,
! [X0: $i] :
( r2_hidden(k2_finseq_1(X0),k1_zfmisc_1(k5_numbers))
| ~ v4_ordinal2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175562,c_121]) ).
tcf(c_175799,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_175555,c_121]) ).
tcf(c_175802,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175583,c_121]) ).
tcf(c_175805,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175584,c_121]) ).
tcf(c_175808,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175585,c_121]) ).
tcf(c_175811,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175586,c_121]) ).
tcf(c_175818,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175587,c_121]) ).
tcf(c_175821,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175588,c_121]) ).
tcf(c_175829,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175589,c_121]) ).
tcf(c_175832,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175590,c_121]) ).
tcf(c_175835,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175591,c_121]) ).
tcf(c_175838,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175592,c_121]) ).
tcf(c_175841,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175593,c_121]) ).
tcf(c_175844,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175594,c_121]) ).
tcf(c_175847,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175595,c_121]) ).
tcf(c_175850,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175596,c_121]) ).
tcf(c_175853,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175612,c_121]) ).
tcf(c_175856,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175613,c_121]) ).
tcf(c_175859,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175614,c_121]) ).
tcf(c_175862,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175615,c_121]) ).
tcf(c_175865,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175617,c_121]) ).
tcf(c_175868,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175619,c_121]) ).
tcf(c_175871,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175620,c_121]) ).
tcf(c_175874,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175621,c_121]) ).
tcf(c_175877,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175623,c_121]) ).
tcf(c_175880,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175624,c_121]) ).
tcf(c_175883,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175625,c_121]) ).
tcf(c_175886,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175626,c_121]) ).
tcf(c_175889,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175627,c_121]) ).
tcf(c_175892,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175628,c_121]) ).
tcf(c_175895,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175629,c_121]) ).
tcf(c_175898,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175630,c_121]) ).
tcf(c_175901,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175631,c_121]) ).
tcf(c_175904,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175632,c_121]) ).
tcf(c_175907,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175633,c_121]) ).
tcf(c_175910,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175634,c_121]) ).
tcf(c_175913,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175635,c_121]) ).
tcf(c_175916,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175636,c_121]) ).
tcf(c_175919,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175637,c_121]) ).
tcf(c_175922,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175638,c_121]) ).
tcf(c_175925,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175640,c_121]) ).
tcf(c_175928,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175641,c_121]) ).
tcf(c_175931,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175642,c_121]) ).
tcf(c_175934,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175644,c_121]) ).
tcf(c_175937,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175646,c_121]) ).
tcf(c_175940,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175647,c_121]) ).
tcf(c_175943,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175648,c_121]) ).
tcf(c_175946,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175649,c_121]) ).
tcf(c_175949,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175650,c_121]) ).
tcf(c_175952,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175651,c_121]) ).
tcf(c_175955,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175652,c_121]) ).
tcf(c_175958,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175653,c_121]) ).
tcf(c_175961,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175654,c_121]) ).
tcf(c_175964,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175662,c_121]) ).
tcf(c_175967,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175663,c_121]) ).
tcf(c_175970,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175664,c_121]) ).
tcf(c_175973,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175666,c_121]) ).
tcf(c_175976,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175668,c_121]) ).
tcf(c_175979,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175669,c_121]) ).
tcf(c_175982,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175670,c_121]) ).
tcf(c_175985,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175671,c_121]) ).
tcf(c_175988,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175672,c_121]) ).
tcf(c_175991,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175673,c_121]) ).
tcf(c_175994,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175674,c_121]) ).
tcf(c_175997,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175675,c_121]) ).
tcf(c_176000,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175676,c_121]) ).
tcf(c_176003,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175677,c_121]) ).
tcf(c_176006,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175678,c_121]) ).
tcf(c_176009,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175679,c_121]) ).
tcf(c_176012,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175680,c_121]) ).
tcf(c_176015,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175681,c_121]) ).
tcf(c_176018,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175682,c_121]) ).
tcf(c_176021,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175683,c_121]) ).
tcf(c_176024,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175685,c_121]) ).
tcf(c_176121,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_424,c_96]) ).
tcf(c_176122,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_424,c_771]) ).
tcf(c_176137,plain,
! [X0: $i] :
( ~ v1_xboole_0(k5_numbers)
| ~ v3_xreal_0(X0)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_424,c_3350]) ).
tcf(c_176138,plain,
! [X0: $i] :
( v1_int_1(X0)
| ~ v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_424,c_3351]) ).
tcf(c_176139,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_424,c_3349]) ).
tcf(c_176140,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_424,c_3348]) ).
tcf(c_176141,plain,
! [X0: $i] :
( v4_ordinal2(X0)
| ~ v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_424,c_3347]) ).
tcf(c_176142,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_424,c_3346]) ).
tcf(c_176143,plain,
! [X0: $i] :
( v1_ordinal1(X0)
| ~ v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_424,c_3345]) ).
tcf(c_176144,plain,
! [X0: $i] :
( v1_card_1(X0)
| ~ v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_424,c_3344]) ).
tcf(c_176145,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_424,c_3334]) ).
tcf(c_176151,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK81(X0)))) ),
inference(superposition,[status(thm)],[c_424,c_78786]) ).
tcf(c_176187,plain,
~ r2_hidden(k1_numbers,sK314),
inference(superposition,[status(thm)],[c_175686,c_431]) ).
tcf(c_176188,plain,
r2_hidden(sK87(k1_numbers),k1_numbers),
inference(superposition,[status(thm)],[c_175686,c_427]) ).
tcf(c_176192,plain,
~ r2_hidden(k1_zfmisc_1(k1_numbers),k5_numbers),
inference(superposition,[status(thm)],[c_175691,c_431]) ).
tcf(c_176193,plain,
r2_hidden(sK87(k1_zfmisc_1(k1_numbers)),k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_175691,c_427]) ).
tcf(c_176194,plain,
~ v1_xboole_0(k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_175691,c_426]) ).
tcf(c_176197,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),np__0),
inference(superposition,[status(thm)],[c_175692,c_431]) ).
tcf(c_176198,plain,
! [X0: $i] : r2_hidden(sK87(k1_zfmisc_1(X0)),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_175692,c_427]) ).
tcf(c_176202,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK42)),u1_struct_0(sK42)),
inference(superposition,[status(thm)],[c_175756,c_431]) ).
tcf(c_176203,plain,
r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK42))),k1_zfmisc_1(u1_struct_0(sK42))),
inference(superposition,[status(thm)],[c_175756,c_427]) ).
tcf(c_176204,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK42))),
inference(superposition,[status(thm)],[c_175756,c_426]) ).
tcf(c_176207,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK42)),sK87(k1_zfmisc_1(u1_struct_0(sK42)))),
inference(superposition,[status(thm)],[c_176203,c_431]) ).
tcf(c_176210,plain,
m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK42))),k1_zfmisc_1(u1_struct_0(sK42))),
inference(superposition,[status(thm)],[c_176203,c_421]) ).
tcf(c_176211,plain,
r1_tarski(sK87(k1_zfmisc_1(u1_struct_0(sK42))),u1_struct_0(sK42)),
inference(superposition,[status(thm)],[c_176203,c_126]) ).
tcf(c_176212,plain,
( v1_relat_1(sK87(k1_zfmisc_1(u1_struct_0(sK42))))
| ~ v1_relat_1(u1_struct_0(sK42)) ),
inference(superposition,[status(thm)],[c_176211,c_377]) ).
tcf(c_176213,plain,
~ r2_hidden(u1_struct_0(sK42),sK87(k1_zfmisc_1(u1_struct_0(sK42)))),
inference(superposition,[status(thm)],[c_176211,c_376]) ).
tcf(c_176222,plain,
( sP8(sK87(k1_zfmisc_1(u1_struct_0(sK42))))
| ~ v1_relat_1(u1_struct_0(sK42))
| ~ v1_funct_1(sK87(k1_zfmisc_1(u1_struct_0(sK42)))) ),
inference(superposition,[status(thm)],[c_176212,c_931]) ).
tcf(c_176226,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_175324,c_78840,c_175324]) ).
tcf(c_176233,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_176226,c_100]) ).
tcf(c_176234,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_176226,c_423]) ).
tcf(c_176235,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_176226,c_78786]) ).
tcf(c_176238,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176234,c_121]) ).
tcf(c_176253,plain,
! [X0: $i] :
( v1_xboole_0(sK43(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_58,c_425]) ).
tcf(c_176254,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_67,c_425]) ).
tcf(c_176255,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_99,c_425]) ).
tcf(c_176259,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK135(X0))
| ~ v1_xboole_0(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_758,c_425]) ).
tcf(c_176262,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_1231,c_425]) ).
tcf(c_176263,plain,
( v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1300,c_425]) ).
tcf(c_176281,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK562)
| v1_xboole_0(k3_rlvect_1(sK562,X0,X1))
| ~ v1_xboole_0(u1_struct_0(sK562))
| ~ m1_subset_1(X1,k1_numbers)
| ~ m1_subset_1(X0,u1_struct_0(sK562)) ),
inference(superposition,[status(thm)],[c_77992,c_425]) ).
tcf(c_176282,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k3_rlvect_1(sK563,X0,X1))
| ~ v1_xboole_0(u1_struct_0(sK563))
| ~ m1_subset_1(X1,k1_numbers)
| ~ m1_subset_1(X0,u1_struct_0(sK563)) ),
inference(superposition,[status(thm)],[c_78010,c_425]) ).
tcf(c_176283,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(X0)))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163360,c_425]) ).
tcf(c_176284,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163412,c_425]) ).
tcf(c_176285,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163505,c_425]) ).
tcf(c_176286,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163626,c_425]) ).
tcf(c_176287,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163738,c_425]) ).
tcf(c_176288,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163821,c_425]) ).
tcf(c_176289,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163861,c_425]) ).
tcf(c_176290,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163968,c_425]) ).
tcf(c_176291,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164238,c_425]) ).
tcf(c_176292,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164362,c_425]) ).
tcf(c_176293,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164538,c_425]) ).
tcf(c_176294,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164736,c_425]) ).
tcf(c_176295,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164899,c_425]) ).
tcf(c_176296,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165240,c_425]) ).
tcf(c_176297,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xboole_0(sK201(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_165029,c_425]) ).
tcf(c_176298,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xboole_0(sK255(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_165030,c_425]) ).
tcf(c_176299,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xboole_0(sK313(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_165031,c_425]) ).
tcf(c_176303,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xboole_0(sK365(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_165035,c_425]) ).
tcf(c_176304,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_xboole_0(sK372(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_165036,c_425]) ).
tcf(c_176305,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xboole_0(sK377(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_165037,c_425]) ).
tcf(c_176307,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(sK484(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_165039,c_425]) ).
tcf(c_176308,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(sK485(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_165040,c_425]) ).
tcf(c_176312,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165461,c_425]) ).
tcf(c_176313,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165557,c_425]) ).
tcf(c_176314,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165693,c_425]) ).
tcf(c_176315,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165825,c_425]) ).
tcf(c_176316,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| v1_xboole_0(sK231(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_165722,c_425]) ).
tcf(c_176317,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165992,c_425]) ).
tcf(c_176318,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| v1_xboole_0(sK232(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_165842,c_425]) ).
tcf(c_176319,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166145,c_425]) ).
tcf(c_176320,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166278,c_425]) ).
tcf(c_176321,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166370,c_425]) ).
tcf(c_176323,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166498,c_425]) ).
tcf(c_176324,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166601,c_425]) ).
tcf(c_176325,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166724,c_425]) ).
tcf(c_176326,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166835,c_425]) ).
tcf(c_176327,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166956,c_425]) ).
tcf(c_176328,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167147,c_425]) ).
tcf(c_176329,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167358,c_425]) ).
tcf(c_176330,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167532,c_425]) ).
tcf(c_176331,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167679,c_425]) ).
tcf(c_176332,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167768,c_425]) ).
tcf(c_176333,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167895,c_425]) ).
tcf(c_176334,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168010,c_425]) ).
tcf(c_176335,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168135,c_425]) ).
tcf(c_176336,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168221,c_425]) ).
tcf(c_176337,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168357,c_425]) ).
tcf(c_176338,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168690,c_425]) ).
tcf(c_176340,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168853,c_425]) ).
tcf(c_176341,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169110,c_425]) ).
tcf(c_176342,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169296,c_425]) ).
tcf(c_176344,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169476,c_425]) ).
tcf(c_176346,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169586,c_425]) ).
tcf(c_176347,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169716,c_425]) ).
tcf(c_176348,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169815,c_425]) ).
tcf(c_176349,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170013,c_425]) ).
tcf(c_176350,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170193,c_425]) ).
tcf(c_176351,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170323,c_425]) ).
tcf(c_176352,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170442,c_425]) ).
tcf(c_176353,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170523,c_425]) ).
tcf(c_176354,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170638,c_425]) ).
tcf(c_176355,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(sK87(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_170964,c_425]) ).
tcf(c_176356,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xboole_0(sK87(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_170911,c_425]) ).
tcf(c_176357,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_xboole_0(sK87(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_170893,c_425]) ).
tcf(c_176358,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xboole_0(sK87(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_170761,c_425]) ).
tcf(c_176359,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xboole_0(sK87(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_170743,c_425]) ).
tcf(c_176360,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xboole_0(sK87(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_170690,c_425]) ).
tcf(c_176361,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xboole_0(sK87(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_170605,c_425]) ).
tcf(c_176362,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170782,c_425]) ).
tcf(c_176363,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171000,c_425]) ).
tcf(c_176364,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171124,c_425]) ).
tcf(c_176366,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171262,c_425]) ).
tcf(c_176368,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171454,c_425]) ).
tcf(c_176369,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171599,c_425]) ).
tcf(c_176370,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171853,c_425]) ).
tcf(c_176371,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_172430,c_425]) ).
tcf(c_176372,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_172882,c_425]) ).
tcf(c_176373,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_173096,c_425]) ).
tcf(c_176374,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_173169,c_425]) ).
tcf(c_176375,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_173416,c_425]) ).
tcf(c_176376,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_173852,c_425]) ).
tcf(c_176377,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174140,c_425]) ).
tcf(c_176378,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174278,c_425]) ).
tcf(c_176379,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174408,c_425]) ).
tcf(c_176380,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174514,c_425]) ).
tcf(c_176381,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174744,c_425]) ).
tcf(c_176382,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174928,c_425]) ).
tcf(c_176383,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_175162,c_425]) ).
tcf(c_176384,plain,
( v1_xboole_0(u1_struct_0(sK42))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK42))) ),
inference(superposition,[status(thm)],[c_175142,c_425]) ).
tcf(c_176385,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_175316,c_425]) ).
tcf(c_176386,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_176226,c_425]) ).
tcf(c_176387,plain,
( v1_xboole_0(sK87(k1_zfmisc_1(u1_struct_0(sK42))))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK42))) ),
inference(superposition,[status(thm)],[c_176210,c_425]) ).
tcf(c_176532,plain,
~ r2_hidden(k1_numbers,sK87(k1_numbers)),
inference(superposition,[status(thm)],[c_176188,c_431]) ).
tcf(c_176535,plain,
m1_subset_1(sK87(k1_numbers),k1_numbers),
inference(superposition,[status(thm)],[c_176188,c_421]) ).
tcf(c_176536,plain,
v1_xreal_0(sK87(k1_numbers)),
inference(superposition,[status(thm)],[c_176188,c_2361]) ).
tcf(c_176537,plain,
v1_xcmplx_0(sK87(k1_numbers)),
inference(superposition,[status(thm)],[c_176536,c_1732]) ).
tcf(c_176574,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_176235,c_78840,c_176235]) ).
tcf(c_176581,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_176574,c_100]) ).
tcf(c_176582,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_176574,c_425]) ).
tcf(c_176583,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_176574,c_423]) ).
tcf(c_176584,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_176574,c_78786]) ).
tcf(c_176587,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176583,c_121]) ).
tcf(c_176596,plain,
! [X0: $i] : r1_tarski(np__0,k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(np__0,X0)))),
inference(superposition,[status(thm)],[c_629,c_505]) ).
tcf(c_176597,plain,
! [X0: $i] : r1_tarski(np__0,k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,np__0)))),
inference(superposition,[status(thm)],[c_630,c_505]) ).
tcf(c_176599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_zfmisc_1(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3)),k1_zfmisc_1(k1_zfmisc_1(k2_enumset1(X0,X1,X2,X3)))),
inference(superposition,[status(thm)],[c_53,c_505]) ).
tcf(c_176600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_zfmisc_1(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k4_xboole_0(X2,X3))),k1_zfmisc_1(k1_zfmisc_1(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3))))),
inference(superposition,[status(thm)],[c_501,c_505]) ).
tcf(c_176601,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_zfmisc_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)),k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,k2_xboole_0(X1,X2))))),
inference(superposition,[status(thm)],[c_504,c_505]) ).
tcf(c_176602,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_zfmisc_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1)),k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(X0,X2),X1)))),
inference(superposition,[status(thm)],[c_503,c_505]) ).
tcf(c_176603,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1)),k1_zfmisc_1(k1_zfmisc_1(k4_xboole_0(k2_xboole_0(X0,X2),X1)))),
inference(superposition,[status(thm)],[c_526,c_505]) ).
tcf(c_176604,plain,
! [X0: $i] : r1_tarski(k2_zfmisc_1(X0,np__0),k1_zfmisc_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_544,c_505]) ).
tcf(c_176605,plain,
! [X0: $i] : r1_tarski(k2_zfmisc_1(X0,X0),k1_zfmisc_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_545,c_505]) ).
tcf(c_176606,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_zfmisc_1(X0,X1),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X1,X0)))),
inference(superposition,[status(thm)],[c_546,c_505]) ).
tcf(c_176607,plain,
! [X0: $i] : r1_tarski(k2_zfmisc_1(np__0,X0),k1_zfmisc_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_169170,c_505]) ).
tcf(c_176608,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_zfmisc_1(X0,k4_xboole_0(X0,X1)),k1_zfmisc_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_50200,c_505]) ).
tcf(c_176610,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1))),k2_zfmisc_1(X0,X1)),
inference(superposition,[status(thm)],[c_505,c_376]) ).
tcf(c_176611,plain,
! [X0: $i] : r1_tarski(np__0,k1_zfmisc_1(k1_zfmisc_1(X0))),
inference(light_normalisation,[status(thm)],[c_176607,c_629]) ).
tcf(c_176627,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_168873,c_536]) ).
tcf(c_176629,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(X0,k2_xboole_0(k2_xboole_0(X0,X1),X2)),
inference(superposition,[status(thm)],[c_540,c_536]) ).
tcf(c_176630,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k3_tarski(X2))
| ~ r2_hidden(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1193,c_536]) ).
tcf(c_176631,plain,
! [X0: $i,X1: $i] : r1_tarski(X0,k1_zfmisc_1(k3_tarski(k2_xboole_0(X0,X1)))),
inference(superposition,[status(thm)],[c_1184,c_536]) ).
tcf(c_176632,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k4_numbers)
| ~ v4_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2112,c_536]) ).
tcf(c_176633,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k3_numbers)
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2216,c_536]) ).
tcf(c_176634,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_numbers)
| ~ v2_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2246,c_536]) ).
tcf(c_176635,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK376(k2_xboole_0(X0,X1)))
| r2_hidden(sK375(k2_xboole_0(X0,X1)),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2256,c_536]) ).
tcf(c_176636,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK376(k2_xboole_0(X0,X1)))
| ~ v3_ordinal1(sK375(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_2254,c_536]) ).
tcf(c_176637,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k5_numbers)
| ~ v5_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2334,c_536]) ).
tcf(c_176638,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_numbers)
| ~ v1_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_3060,c_536]) ).
tcf(c_176639,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(X0,k2_xboole_0(X1,k2_xboole_0(X0,X2))),
inference(superposition,[status(thm)],[c_169158,c_536]) ).
tcf(c_176640,plain,
! [X0: $i,X1: $i] : r1_tarski(X0,k3_relat_1(k6_partfun1(k2_xboole_0(X0,X1)))),
inference(superposition,[status(thm)],[c_171630,c_536]) ).
tcf(c_176642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k2_enumset1(X0,X0,X1,X2),X4)
| ~ r1_tarski(k2_enumset1(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_53,c_536]) ).
tcf(c_176643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k2_zfmisc_1(k4_xboole_0(X0,X2),X1),X4)
| ~ r1_tarski(k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_501,c_536]) ).
tcf(c_176644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k2_zfmisc_1(X0,X1),X3)
| ~ r1_tarski(k2_zfmisc_1(X0,k2_xboole_0(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_504,c_536]) ).
tcf(c_176645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k2_zfmisc_1(X0,X2),X3)
| ~ r1_tarski(k2_zfmisc_1(k2_xboole_0(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_503,c_536]) ).
tcf(c_176646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k4_xboole_0(X0,X2),X3)
| ~ r1_tarski(k4_xboole_0(k2_xboole_0(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_526,c_536]) ).
tcf(c_176649,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ~ r1_tarski(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_546,c_536]) ).
tcf(c_176650,plain,
! [X0: $i,X1: $i] :
( r1_tarski(np__0,X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_169170,c_536]) ).
tcf(c_176652,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(X0,k2_xboole_0(X0,k2_xboole_0(X1,X2))),
inference(theory_normalisation,[status(thm)],[c_176629,c_543,c_546,c_3131,c_3133]) ).
tcf(c_176701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X0,k2_enumset1(X2,X3,X4,X1))
| ~ r1_tarski(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_53,c_537]) ).
tcf(c_176702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X0,k4_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X4,X3)))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,k4_xboole_0(X2,X3))) ),
inference(superposition,[status(thm)],[c_501,c_537]) ).
tcf(c_176703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_zfmisc_1(X1,k2_xboole_0(X3,X2)))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_504,c_537]) ).
tcf(c_176704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_zfmisc_1(k2_xboole_0(X3,X1),X2))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_503,c_537]) ).
tcf(c_176705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(k2_xboole_0(X3,X1),X2))
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_526,c_537]) ).
tcf(c_176706,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_544,c_537]) ).
tcf(c_176708,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_546,c_537]) ).
tcf(c_176711,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X2)
| ~ r1_tarski(X2,X1)
| ~ v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_537,c_377]) ).
tcf(c_176712,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_tarski(X2,X1)
| ~ r2_hidden(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_537,c_376]) ).
tcf(c_176713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_xboole_0(X3,X2))
| ~ r1_tarski(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_537,c_536]) ).
tcf(c_176714,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(sK373(k1_zfmisc_1(k2_xboole_0(X0,X1))),X1),
inference(superposition,[status(thm)],[c_537,c_168712]) ).
tcf(c_176715,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),X1),
inference(superposition,[status(thm)],[c_537,c_168846]) ).
tcf(c_176716,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(sK546(k1_zfmisc_1(k2_xboole_0(X0,X1))),X1),
inference(superposition,[status(thm)],[c_537,c_168714]) ).
tcf(c_176751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X0,k2_enumset1(X1,X2,X3,X4))
| ~ r2_hidden(X0,k2_enumset1(X1,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_53,c_550]) ).
tcf(c_176752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X0,k4_xboole_0(k2_zfmisc_1(X1,X3),k2_zfmisc_1(X2,X4)))
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_501,c_550]) ).
tcf(c_176753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k2_zfmisc_1(X1,k2_xboole_0(X2,X3)))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_504,c_550]) ).
tcf(c_176754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k2_zfmisc_1(k2_xboole_0(X1,X3),X2))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_503,c_550]) ).
tcf(c_176755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k4_xboole_0(k2_xboole_0(X1,X3),X2))
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_526,c_550]) ).
tcf(c_176761,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_550,c_431]) ).
tcf(c_176762,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK87(k2_xboole_0(X1,X2)),k2_xboole_0(X1,X2))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_550,c_427]) ).
tcf(c_176763,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X2,X0)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_550,c_426]) ).
tcf(c_176764,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k2_xboole_0(X1,X2))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_550,c_421]) ).
tcf(c_176765,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X1,X2))
| ~ r2_hidden(sK85(X0,k2_xboole_0(X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_550,c_397]) ).
tcf(c_176767,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(sK373(k2_xboole_0(X0,X1)),X0),
inference(superposition,[status(thm)],[c_550,c_2250]) ).
tcf(c_176769,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(sK546(k2_xboole_0(X0,X1)),X0),
inference(superposition,[status(thm)],[c_550,c_3522]) ).
tcf(c_176770,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_xboole_0(k2_xboole_0(X0,X1),X2),X0),
inference(superposition,[status(thm)],[c_550,c_168776]) ).
tcf(c_176771,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k3_tarski(k2_xboole_0(X0,X1))),X0),
inference(superposition,[status(thm)],[c_550,c_168781]) ).
tcf(c_176772,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_tarski(k2_xboole_0(X0,X1),X2),X0),
inference(superposition,[status(thm)],[c_550,c_168997]) ).
tcf(c_176773,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_tarski(X0,k2_xboole_0(X1,X2)),X1),
inference(superposition,[status(thm)],[c_550,c_168998]) ).
tcf(c_176774,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_xboole_0(X0,k2_xboole_0(X1,X2)),X1),
inference(superposition,[status(thm)],[c_550,c_169259]) ).
tcf(c_176775,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k3_relat_1(k6_partfun1(k2_xboole_0(X0,X1))),X0),
inference(superposition,[status(thm)],[c_550,c_171683]) ).
tcf(c_176776,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_xboole_0(X0,k2_xboole_0(X1,X2)),X0),
inference(theory_normalisation,[status(thm)],[c_176770,c_543,c_546,c_3131,c_3133]) ).
tcf(c_176822,plain,
( v3_struct_0(sK576)
| ~ l1_struct_0(sK576)
| ~ v1_xboole_0(u1_struct_0(sK576)) ),
inference(superposition,[status(thm)],[c_174969,c_82]) ).
tcf(c_176823,plain,
( m1_subset_1(u1_struct_0(sK576),k1_zfmisc_1(u1_struct_0(sK576)))
| ~ l1_struct_0(sK576) ),
inference(superposition,[status(thm)],[c_174969,c_67]) ).
tcf(c_176824,plain,
m1_subset_1(u1_struct_0(sK576),k1_zfmisc_1(u1_struct_0(sK576))),
inference(forward_subsumption_resolution,[status(thm)],[c_176823,c_163385]) ).
tcf(c_176825,plain,
~ v1_xboole_0(u1_struct_0(sK576)),
inference(forward_subsumption_resolution,[status(thm)],[c_176822,c_3718,c_163385]) ).
tcf(c_176827,plain,
( v3_struct_0(sK44)
| ~ l1_struct_0(sK44)
| ~ v1_xboole_0(u1_struct_0(sK44)) ),
inference(superposition,[status(thm)],[c_174971,c_82]) ).
tcf(c_176828,plain,
( m1_subset_1(u1_struct_0(sK44),k1_zfmisc_1(u1_struct_0(sK44)))
| ~ l1_struct_0(sK44) ),
inference(superposition,[status(thm)],[c_174971,c_67]) ).
tcf(c_176829,plain,
m1_subset_1(u1_struct_0(sK44),k1_zfmisc_1(u1_struct_0(sK44))),
inference(forward_subsumption_resolution,[status(thm)],[c_176828,c_163391]) ).
tcf(c_176830,plain,
( v3_struct_0(sK44)
| ~ v1_xboole_0(u1_struct_0(sK44)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176827,c_163391]) ).
tcf(c_176833,plain,
( v3_struct_0(sK115)
| ~ l1_struct_0(sK115)
| ~ v1_xboole_0(u1_struct_0(sK115)) ),
inference(superposition,[status(thm)],[c_174973,c_82]) ).
tcf(c_176834,plain,
( m1_subset_1(u1_struct_0(sK115),k1_zfmisc_1(u1_struct_0(sK115)))
| ~ l1_struct_0(sK115) ),
inference(superposition,[status(thm)],[c_174973,c_67]) ).
tcf(c_176835,plain,
m1_subset_1(u1_struct_0(sK115),k1_zfmisc_1(u1_struct_0(sK115))),
inference(forward_subsumption_resolution,[status(thm)],[c_176834,c_163788]) ).
tcf(c_176836,plain,
( v3_struct_0(sK115)
| ~ v1_xboole_0(u1_struct_0(sK115)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176833,c_163788]) ).
tcf(c_176839,plain,
( v3_struct_0(sK265)
| ~ l1_struct_0(sK265)
| ~ v1_xboole_0(u1_struct_0(sK265)) ),
inference(superposition,[status(thm)],[c_174974,c_82]) ).
tcf(c_176840,plain,
( m1_subset_1(u1_struct_0(sK265),k1_zfmisc_1(u1_struct_0(sK265)))
| ~ l1_struct_0(sK265) ),
inference(superposition,[status(thm)],[c_174974,c_67]) ).
tcf(c_176841,plain,
m1_subset_1(u1_struct_0(sK265),k1_zfmisc_1(u1_struct_0(sK265))),
inference(forward_subsumption_resolution,[status(thm)],[c_176840,c_163789]) ).
tcf(c_176842,plain,
~ v1_xboole_0(u1_struct_0(sK265)),
inference(forward_subsumption_resolution,[status(thm)],[c_176839,c_1485,c_163789]) ).
tcf(c_176844,plain,
( v3_struct_0(sK266)
| ~ l1_struct_0(sK266)
| ~ v1_xboole_0(u1_struct_0(sK266)) ),
inference(superposition,[status(thm)],[c_174975,c_82]) ).
tcf(c_176845,plain,
( m1_subset_1(u1_struct_0(sK266),k1_zfmisc_1(u1_struct_0(sK266)))
| ~ l1_struct_0(sK266) ),
inference(superposition,[status(thm)],[c_174975,c_67]) ).
tcf(c_176846,plain,
m1_subset_1(u1_struct_0(sK266),k1_zfmisc_1(u1_struct_0(sK266))),
inference(forward_subsumption_resolution,[status(thm)],[c_176845,c_163790]) ).
tcf(c_176847,plain,
~ v1_xboole_0(u1_struct_0(sK266)),
inference(forward_subsumption_resolution,[status(thm)],[c_176844,c_1496,c_163790]) ).
tcf(c_176848,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_176584,c_78840,c_176584]) ).
tcf(c_176855,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_176848,c_100]) ).
tcf(c_176856,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_176848,c_425]) ).
tcf(c_176857,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_176848,c_423]) ).
tcf(c_176858,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_176848,c_78786]) ).
tcf(c_176861,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176857,c_121]) ).
tcf(c_176875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X0,k2_enumset1(X2,X3,X4,X1))
| ~ r2_hidden(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_53,c_551]) ).
tcf(c_176876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X0,k4_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X4,X3)))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,k4_xboole_0(X2,X3))) ),
inference(superposition,[status(thm)],[c_501,c_551]) ).
tcf(c_176877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k2_zfmisc_1(X1,k2_xboole_0(X3,X2)))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_504,c_551]) ).
tcf(c_176878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k2_zfmisc_1(k2_xboole_0(X3,X1),X2))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_503,c_551]) ).
tcf(c_176879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k4_xboole_0(k2_xboole_0(X3,X1),X2))
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_526,c_551]) ).
tcf(c_176885,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_551,c_431]) ).
tcf(c_176886,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK87(k2_xboole_0(X2,X1)),k2_xboole_0(X2,X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_551,c_427]) ).
tcf(c_176887,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X2,X1)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_551,c_426]) ).
tcf(c_176888,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k2_xboole_0(X2,X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_551,c_421]) ).
tcf(c_176889,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X1,X2))
| ~ r2_hidden(sK85(X0,k2_xboole_0(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_551,c_397]) ).
tcf(c_176891,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(sK373(k2_xboole_0(X0,X1)),X1),
inference(superposition,[status(thm)],[c_551,c_2250]) ).
tcf(c_176893,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(sK546(k2_xboole_0(X0,X1)),X1),
inference(superposition,[status(thm)],[c_551,c_3522]) ).
tcf(c_176895,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k3_tarski(k2_xboole_0(X0,X1))),X1),
inference(superposition,[status(thm)],[c_551,c_168781]) ).
tcf(c_176896,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_tarski(k2_xboole_0(X0,X1),X2),X1),
inference(superposition,[status(thm)],[c_551,c_168997]) ).
tcf(c_176897,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_tarski(X0,k2_xboole_0(X1,X2)),X2),
inference(superposition,[status(thm)],[c_551,c_168998]) ).
tcf(c_176898,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_xboole_0(X0,k2_xboole_0(X1,X2)),X2),
inference(superposition,[status(thm)],[c_551,c_169259]) ).
tcf(c_176899,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k3_relat_1(k6_partfun1(k2_xboole_0(X0,X1))),X1),
inference(superposition,[status(thm)],[c_551,c_171683]) ).
tcf(c_176939,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_relat_1(sK146(k4_xboole_0(X0,X1),np__0)),X0),
inference(superposition,[status(thm)],[c_843,c_693]) ).
tcf(c_176940,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k4_xboole_0(X0,X1),X2),X0),
inference(superposition,[status(thm)],[c_1147,c_693]) ).
tcf(c_176941,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_1929,c_693]) ).
tcf(c_176942,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_classes1(k1_card_1(k4_xboole_0(X0,X1))),X0)
| ~ v2_classes1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_3158,c_693]) ).
tcf(c_176943,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_3411,c_693]) ).
tcf(c_176944,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_3893,c_693]) ).
tcf(c_176945,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_tarski(sK54(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_168498,c_693]) ).
tcf(c_176946,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_tarski(sK141(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_168499,c_693]) ).
tcf(c_176947,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_tarski(sK142(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_168500,c_693]) ).
tcf(c_176948,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k1_zfmisc_1(k4_xboole_0(X0,X1))),X0),
inference(superposition,[status(thm)],[c_164196,c_693]) ).
tcf(c_176949,plain,
! [X0: $i,X1: $i] : r1_tarski(sK43(k1_zfmisc_1(k4_xboole_0(X0,X1))),X0),
inference(superposition,[status(thm)],[c_168495,c_693]) ).
tcf(c_176950,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_174032,c_693]) ).
tcf(c_176951,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_174100,c_693]) ).
tcf(c_176956,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k2_xboole_0(X1,X2)),X0),
inference(light_normalisation,[status(thm)],[c_176940,c_527]) ).
tcf(c_176990,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k2_relat_1(sK146(k4_xboole_0(X0,X1),np__0)),X1),
inference(superposition,[status(thm)],[c_843,c_694]) ).
tcf(c_176991,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_1147,c_694]) ).
tcf(c_176992,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_1929,c_694]) ).
tcf(c_176993,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k4_classes1(k1_card_1(k4_xboole_0(X0,X1))),X1)
| ~ v2_classes1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_3158,c_694]) ).
tcf(c_176994,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_3411,c_694]) ).
tcf(c_176995,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_3893,c_694]) ).
tcf(c_176996,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_xboole_0(sK54(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_168498,c_694]) ).
tcf(c_176997,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_xboole_0(sK141(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_168499,c_694]) ).
tcf(c_176998,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_xboole_0(sK142(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_168500,c_694]) ).
tcf(c_176999,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_164196,c_694]) ).
tcf(c_177000,plain,
! [X0: $i,X1: $i] : r1_xboole_0(sK43(k1_zfmisc_1(k4_xboole_0(X0,X1))),X1),
inference(superposition,[status(thm)],[c_168495,c_694]) ).
tcf(c_177001,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_174032,c_694]) ).
tcf(c_177002,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_174100,c_694]) ).
tcf(c_177003,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k2_xboole_0(X1,X2))
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_522,c_694]) ).
tcf(c_177005,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_47750,c_694]) ).
tcf(c_177009,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(X0,k2_xboole_0(X1,X2)),X1),
inference(light_normalisation,[status(thm)],[c_176991,c_527]) ).
tcf(c_177040,plain,
( v3_struct_0(sK267)
| ~ l1_struct_0(sK267)
| ~ v1_xboole_0(u1_struct_0(sK267)) ),
inference(superposition,[status(thm)],[c_174976,c_82]) ).
tcf(c_177041,plain,
( m1_subset_1(u1_struct_0(sK267),k1_zfmisc_1(u1_struct_0(sK267)))
| ~ l1_struct_0(sK267) ),
inference(superposition,[status(thm)],[c_174976,c_67]) ).
tcf(c_177042,plain,
m1_subset_1(u1_struct_0(sK267),k1_zfmisc_1(u1_struct_0(sK267))),
inference(forward_subsumption_resolution,[status(thm)],[c_177041,c_163791]) ).
tcf(c_177043,plain,
~ v1_xboole_0(u1_struct_0(sK267)),
inference(forward_subsumption_resolution,[status(thm)],[c_177040,c_1509,c_163791]) ).
tcf(c_177045,plain,
( v3_struct_0(sK268)
| ~ l1_struct_0(sK268)
| ~ v1_xboole_0(u1_struct_0(sK268)) ),
inference(superposition,[status(thm)],[c_174977,c_82]) ).
tcf(c_177046,plain,
( m1_subset_1(u1_struct_0(sK268),k1_zfmisc_1(u1_struct_0(sK268)))
| ~ l1_struct_0(sK268) ),
inference(superposition,[status(thm)],[c_174977,c_67]) ).
tcf(c_177047,plain,
m1_subset_1(u1_struct_0(sK268),k1_zfmisc_1(u1_struct_0(sK268))),
inference(forward_subsumption_resolution,[status(thm)],[c_177046,c_163792]) ).
tcf(c_177048,plain,
~ v1_xboole_0(u1_struct_0(sK268)),
inference(forward_subsumption_resolution,[status(thm)],[c_177045,c_1519,c_163792]) ).
tcf(c_177050,plain,
( v3_struct_0(sK421)
| ~ l1_struct_0(sK421)
| ~ v1_xboole_0(u1_struct_0(sK421)) ),
inference(superposition,[status(thm)],[c_174978,c_82]) ).
tcf(c_177051,plain,
( m1_subset_1(u1_struct_0(sK421),k1_zfmisc_1(u1_struct_0(sK421)))
| ~ l1_struct_0(sK421) ),
inference(superposition,[status(thm)],[c_174978,c_67]) ).
tcf(c_177052,plain,
m1_subset_1(u1_struct_0(sK421),k1_zfmisc_1(u1_struct_0(sK421))),
inference(forward_subsumption_resolution,[status(thm)],[c_177051,c_163813]) ).
tcf(c_177053,plain,
~ v1_xboole_0(u1_struct_0(sK421)),
inference(forward_subsumption_resolution,[status(thm)],[c_177050,c_2672,c_163813]) ).
tcf(c_177055,plain,
( v3_struct_0(sK422)
| ~ l1_struct_0(sK422)
| ~ v1_xboole_0(u1_struct_0(sK422)) ),
inference(superposition,[status(thm)],[c_174979,c_82]) ).
tcf(c_177056,plain,
( m1_subset_1(u1_struct_0(sK422),k1_zfmisc_1(u1_struct_0(sK422)))
| ~ l1_struct_0(sK422) ),
inference(superposition,[status(thm)],[c_174979,c_67]) ).
tcf(c_177057,plain,
m1_subset_1(u1_struct_0(sK422),k1_zfmisc_1(u1_struct_0(sK422))),
inference(forward_subsumption_resolution,[status(thm)],[c_177056,c_163814]) ).
tcf(c_177058,plain,
~ v1_xboole_0(u1_struct_0(sK422)),
inference(forward_subsumption_resolution,[status(thm)],[c_177055,c_2694,c_163814]) ).
tcf(c_177060,plain,
( v3_struct_0(sK269)
| ~ l1_struct_0(sK269)
| ~ v1_xboole_0(u1_struct_0(sK269)) ),
inference(superposition,[status(thm)],[c_174980,c_82]) ).
tcf(c_177061,plain,
( m1_subset_1(u1_struct_0(sK269),k1_zfmisc_1(u1_struct_0(sK269)))
| ~ l1_struct_0(sK269) ),
inference(superposition,[status(thm)],[c_174980,c_67]) ).
tcf(c_177062,plain,
m1_subset_1(u1_struct_0(sK269),k1_zfmisc_1(u1_struct_0(sK269))),
inference(forward_subsumption_resolution,[status(thm)],[c_177061,c_163817]) ).
tcf(c_177063,plain,
( v3_struct_0(sK269)
| ~ v1_xboole_0(u1_struct_0(sK269)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177060,c_163817]) ).
tcf(c_177066,plain,
v1_relat_1(sK43(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_629,c_174999]) ).
tcf(c_177068,plain,
! [X0: $i,X1: $i] :
( sP8(sK43(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_funct_1(sK43(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_174999,c_931]) ).
tcf(c_177073,plain,
r1_tarski(u1_struct_0(sK70),u1_struct_0(sK70)),
inference(superposition,[status(thm)],[c_175273,c_100]) ).
tcf(c_177074,plain,
( v1_xboole_0(u1_struct_0(sK70))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK70))) ),
inference(superposition,[status(thm)],[c_175273,c_425]) ).
tcf(c_177075,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK70)))
| r2_hidden(u1_struct_0(sK70),k1_zfmisc_1(u1_struct_0(sK70))) ),
inference(superposition,[status(thm)],[c_175273,c_423]) ).
tcf(c_177076,plain,
r2_hidden(u1_struct_0(sK70),k1_zfmisc_1(u1_struct_0(sK70))),
inference(forward_subsumption_resolution,[status(thm)],[c_177075,c_121]) ).
tcf(c_177077,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_176858,c_78840,c_176858]) ).
tcf(c_177084,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_177077,c_100]) ).
tcf(c_177085,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_177077,c_425]) ).
tcf(c_177086,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_177077,c_423]) ).
tcf(c_177087,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_177077,c_78786]) ).
tcf(c_177090,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177086,c_121]) ).
tcf(c_177107,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_700,c_727]) ).
tcf(c_177108,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_700,c_723]) ).
tcf(c_177121,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_706,c_727]) ).
tcf(c_177122,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_706,c_723]) ).
tcf(c_177132,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK129(k2_xboole_0(X0,X1)),X0)
| ( k2_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_671,c_717]) ).
tcf(c_177133,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_tarski(X0,X0),X1)
| r2_hidden(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_687,c_717]) ).
tcf(c_177135,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X2,X0)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_169637,c_717]) ).
tcf(c_177137,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X0,k2_xboole_0(X1,X2)))),X1),
inference(superposition,[status(thm)],[c_49626,c_717]) ).
tcf(c_177139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_xboole_0(X0,k2_enumset1(X1,X1,X2,X3))
| ~ r1_xboole_0(X0,k2_enumset1(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_53,c_717]) ).
tcf(c_177140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_xboole_0(X0,k2_zfmisc_1(k4_xboole_0(X1,X3),X2))
| ~ r1_xboole_0(X0,k4_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4))) ),
inference(superposition,[status(thm)],[c_501,c_717]) ).
tcf(c_177141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k2_zfmisc_1(X1,X2))
| ~ r1_xboole_0(X0,k2_zfmisc_1(X1,k2_xboole_0(X2,X3))) ),
inference(superposition,[status(thm)],[c_504,c_717]) ).
tcf(c_177142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k2_zfmisc_1(X1,X3))
| ~ r1_xboole_0(X0,k2_zfmisc_1(k2_xboole_0(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_503,c_717]) ).
tcf(c_177143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k4_xboole_0(X1,X3))
| ~ r1_xboole_0(X0,k4_xboole_0(k2_xboole_0(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_526,c_717]) ).
tcf(c_177175,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK129(k2_xboole_0(X0,X1)),X1)
| ( k2_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_671,c_718]) ).
tcf(c_177176,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_tarski(X0,X0),X2)
| r2_hidden(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_687,c_718]) ).
tcf(c_177177,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(X0,k2_xboole_0(X1,X2)),X2),
inference(superposition,[status(thm)],[c_707,c_718]) ).
tcf(c_177178,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X2,X1)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_169637,c_718]) ).
tcf(c_177180,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X0,k2_xboole_0(X1,X2)))),X2),
inference(superposition,[status(thm)],[c_49626,c_718]) ).
tcf(c_177182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_xboole_0(X0,k2_tarski(X4,X4))
| ~ r1_xboole_0(X0,k2_enumset1(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_53,c_718]) ).
tcf(c_177183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_xboole_0(X0,k2_zfmisc_1(X1,k4_xboole_0(X2,X4)))
| ~ r1_xboole_0(X0,k4_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4))) ),
inference(superposition,[status(thm)],[c_501,c_718]) ).
tcf(c_177184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k2_zfmisc_1(X1,X3))
| ~ r1_xboole_0(X0,k2_zfmisc_1(X1,k2_xboole_0(X2,X3))) ),
inference(superposition,[status(thm)],[c_504,c_718]) ).
tcf(c_177185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k2_zfmisc_1(X2,X3))
| ~ r1_xboole_0(X0,k2_zfmisc_1(k2_xboole_0(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_503,c_718]) ).
tcf(c_177186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k4_xboole_0(X2,X3))
| ~ r1_xboole_0(X0,k4_xboole_0(k2_xboole_0(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_526,c_718]) ).
tcf(c_177215,plain,
r1_tarski(u1_struct_0(sK72),u1_struct_0(sK72)),
inference(superposition,[status(thm)],[c_175279,c_100]) ).
tcf(c_177216,plain,
( v1_xboole_0(u1_struct_0(sK72))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK72))) ),
inference(superposition,[status(thm)],[c_175279,c_425]) ).
tcf(c_177217,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK72)))
| r2_hidden(u1_struct_0(sK72),k1_zfmisc_1(u1_struct_0(sK72))) ),
inference(superposition,[status(thm)],[c_175279,c_423]) ).
tcf(c_177218,plain,
r2_hidden(u1_struct_0(sK72),k1_zfmisc_1(u1_struct_0(sK72))),
inference(forward_subsumption_resolution,[status(thm)],[c_177217,c_121]) ).
tcf(c_177219,plain,
r1_tarski(u1_struct_0(sK609),u1_struct_0(sK609)),
inference(superposition,[status(thm)],[c_175284,c_100]) ).
tcf(c_177220,plain,
( v1_xboole_0(u1_struct_0(sK609))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK609))) ),
inference(superposition,[status(thm)],[c_175284,c_425]) ).
tcf(c_177221,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK609)))
| r2_hidden(u1_struct_0(sK609),k1_zfmisc_1(u1_struct_0(sK609))) ),
inference(superposition,[status(thm)],[c_175284,c_423]) ).
tcf(c_177222,plain,
r2_hidden(u1_struct_0(sK609),k1_zfmisc_1(u1_struct_0(sK609))),
inference(forward_subsumption_resolution,[status(thm)],[c_177221,c_121]) ).
tcf(c_177228,plain,
r1_tarski(u1_struct_0(sK414),u1_struct_0(sK414)),
inference(superposition,[status(thm)],[c_175290,c_100]) ).
tcf(c_177229,plain,
( v1_xboole_0(u1_struct_0(sK414))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK414))) ),
inference(superposition,[status(thm)],[c_175290,c_425]) ).
tcf(c_177230,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK414)))
| r2_hidden(u1_struct_0(sK414),k1_zfmisc_1(u1_struct_0(sK414))) ),
inference(superposition,[status(thm)],[c_175290,c_423]) ).
tcf(c_177231,plain,
r2_hidden(u1_struct_0(sK414),k1_zfmisc_1(u1_struct_0(sK414))),
inference(forward_subsumption_resolution,[status(thm)],[c_177230,c_121]) ).
tcf(c_177237,plain,
r1_tarski(u1_struct_0(sK494),u1_struct_0(sK494)),
inference(superposition,[status(thm)],[c_175296,c_100]) ).
tcf(c_177238,plain,
( v1_xboole_0(u1_struct_0(sK494))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK494))) ),
inference(superposition,[status(thm)],[c_175296,c_425]) ).
tcf(c_177239,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK494)))
| r2_hidden(u1_struct_0(sK494),k1_zfmisc_1(u1_struct_0(sK494))) ),
inference(superposition,[status(thm)],[c_175296,c_423]) ).
tcf(c_177240,plain,
r2_hidden(u1_struct_0(sK494),k1_zfmisc_1(u1_struct_0(sK494))),
inference(forward_subsumption_resolution,[status(thm)],[c_177239,c_121]) ).
tcf(c_177246,plain,
r1_tarski(u1_struct_0(sK571),u1_struct_0(sK571)),
inference(superposition,[status(thm)],[c_175302,c_100]) ).
tcf(c_177247,plain,
( v1_xboole_0(u1_struct_0(sK571))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK571))) ),
inference(superposition,[status(thm)],[c_175302,c_425]) ).
tcf(c_177248,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK571)))
| r2_hidden(u1_struct_0(sK571),k1_zfmisc_1(u1_struct_0(sK571))) ),
inference(superposition,[status(thm)],[c_175302,c_423]) ).
tcf(c_177249,plain,
r2_hidden(u1_struct_0(sK571),k1_zfmisc_1(u1_struct_0(sK571))),
inference(forward_subsumption_resolution,[status(thm)],[c_177248,c_121]) ).
tcf(c_177250,plain,
r1_tarski(u1_struct_0(sK133),u1_struct_0(sK133)),
inference(superposition,[status(thm)],[c_175307,c_100]) ).
tcf(c_177251,plain,
( v1_xboole_0(u1_struct_0(sK133))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK133))) ),
inference(superposition,[status(thm)],[c_175307,c_425]) ).
tcf(c_177252,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK133)))
| r2_hidden(u1_struct_0(sK133),k1_zfmisc_1(u1_struct_0(sK133))) ),
inference(superposition,[status(thm)],[c_175307,c_423]) ).
tcf(c_177253,plain,
r2_hidden(u1_struct_0(sK133),k1_zfmisc_1(u1_struct_0(sK133))),
inference(forward_subsumption_resolution,[status(thm)],[c_177252,c_121]) ).
tcf(c_177259,plain,
r1_tarski(u1_struct_0(sK575),u1_struct_0(sK575)),
inference(superposition,[status(thm)],[c_175313,c_100]) ).
tcf(c_177260,plain,
( v1_xboole_0(u1_struct_0(sK575))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK575))) ),
inference(superposition,[status(thm)],[c_175313,c_425]) ).
tcf(c_177261,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK575)))
| r2_hidden(u1_struct_0(sK575),k1_zfmisc_1(u1_struct_0(sK575))) ),
inference(superposition,[status(thm)],[c_175313,c_423]) ).
tcf(c_177262,plain,
r2_hidden(u1_struct_0(sK575),k1_zfmisc_1(u1_struct_0(sK575))),
inference(forward_subsumption_resolution,[status(thm)],[c_177261,c_121]) ).
tcf(c_177263,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_177087,c_78840,c_177087]) ).
tcf(c_177270,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_177263,c_100]) ).
tcf(c_177271,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_177263,c_425]) ).
tcf(c_177272,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_177263,c_423]) ).
tcf(c_177273,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_177263,c_78786]) ).
tcf(c_177276,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177272,c_121]) ).
tcf(c_177289,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_zfmisc_1(sK135(X0)) = k5_finsub_1(sK135(X0)) ) ),
inference(superposition,[status(thm)],[c_760,c_768]) ).
tcf(c_177290,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_777,c_768]) ).
tcf(c_177291,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_164056,c_768]) ).
tcf(c_177292,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_164103,c_768]) ).
tcf(c_177293,plain,
k1_zfmisc_1(sK138) = k5_finsub_1(sK138),
inference(superposition,[status(thm)],[c_783,c_768]) ).
tcf(c_177294,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_795,c_768]) ).
tcf(c_177295,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_807,c_768]) ).
tcf(c_177296,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_zfmisc_1(sK141(X0)) = k5_finsub_1(sK141(X0)) ) ),
inference(superposition,[status(thm)],[c_805,c_768]) ).
tcf(c_177297,plain,
! [X0: $i,X1: $i] : k1_zfmisc_1(k2_tarski(X0,X1)) = k5_finsub_1(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_810,c_768]) ).
tcf(c_177298,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_zfmisc_1(sK142(X0)) = k5_finsub_1(sK142(X0)) ) ),
inference(superposition,[status(thm)],[c_813,c_768]) ).
tcf(c_177299,plain,
k1_zfmisc_1(sK143) = k5_finsub_1(sK143),
inference(superposition,[status(thm)],[c_818,c_768]) ).
tcf(c_177300,plain,
k1_zfmisc_1(sK357) = k5_finsub_1(sK357),
inference(superposition,[status(thm)],[c_2083,c_768]) ).
tcf(c_177301,plain,
! [X0: $i] : k1_zfmisc_1(sK358(X0)) = k5_finsub_1(sK358(X0)),
inference(superposition,[status(thm)],[c_2088,c_768]) ).
tcf(c_177302,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_3422,c_768]) ).
tcf(c_177304,plain,
k1_zfmisc_1(k1_zfmisc_1(np__0)) = k5_finsub_1(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_165600,c_768]) ).
tcf(c_177305,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_49628,c_768]) ).
tcf(c_177306,plain,
k1_zfmisc_1(sK43(k5_numbers)) = k5_finsub_1(sK43(k5_numbers)),
inference(superposition,[status(thm)],[c_164765,c_768]) ).
tcf(c_177307,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_164869,c_768]) ).
tcf(c_177308,plain,
! [X0: $i] : k1_zfmisc_1(sK43(k5_finsub_1(X0))) = k5_finsub_1(sK43(k5_finsub_1(X0))),
inference(superposition,[status(thm)],[c_165482,c_768]) ).
tcf(c_177309,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| ( k1_zfmisc_1(sK201(k5_finsub_1(X0))) = k5_finsub_1(sK201(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_165648,c_768]) ).
tcf(c_177310,plain,
( v1_relat_1(k5_numbers)
| ( k1_zfmisc_1(sK201(k5_numbers)) = k5_finsub_1(sK201(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_165656,c_768]) ).
tcf(c_177311,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| ( k1_zfmisc_1(sK255(k5_finsub_1(X0))) = k5_finsub_1(sK255(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_165771,c_768]) ).
tcf(c_177312,plain,
( v3_ordinal1(k5_numbers)
| ( k1_zfmisc_1(sK377(k5_numbers)) = k5_finsub_1(sK377(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_165966,c_768]) ).
tcf(c_177313,plain,
( v1_realset1(k5_numbers)
| ( k1_zfmisc_1(sK484(k5_numbers)) = k5_finsub_1(sK484(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_166108,c_768]) ).
tcf(c_177314,plain,
( v1_realset1(k5_numbers)
| ( k1_zfmisc_1(sK485(k5_numbers)) = k5_finsub_1(sK485(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_166227,c_768]) ).
tcf(c_177315,plain,
k1_zfmisc_1(k2_finseq_1(np__1)) = k5_finsub_1(k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_168374,c_768]) ).
tcf(c_177316,plain,
! [X0: $i] :
( ( k1_zfmisc_1(sK137(X0)) = k5_finsub_1(sK137(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_169664,c_768]) ).
tcf(c_177317,plain,
! [X0: $i] :
( ( k1_zfmisc_1(sK257(X0)) = k5_finsub_1(sK257(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_170347,c_768]) ).
tcf(c_177318,plain,
! [X0: $i] :
( ( k1_zfmisc_1(sK385(X0)) = k5_finsub_1(sK385(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_171282,c_768]) ).
tcf(c_177319,plain,
( v1_realset1(k5_numbers)
| ( k1_zfmisc_1(sK87(k5_numbers)) = k5_finsub_1(sK87(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_173017,c_768]) ).
tcf(c_177320,plain,
( v3_ordinal1(k5_numbers)
| ( k1_zfmisc_1(sK87(k5_numbers)) = k5_finsub_1(sK87(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_172826,c_768]) ).
tcf(c_177321,plain,
( v1_relat_1(k5_numbers)
| ( k1_zfmisc_1(sK87(k5_numbers)) = k5_finsub_1(sK87(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_171389,c_768]) ).
tcf(c_177322,plain,
( ( k1_zfmisc_1(k4_classes1(np__0)) = k5_finsub_1(k4_classes1(np__0)) )
| ~ v2_classes1(np__0) ),
inference(superposition,[status(thm)],[c_173408,c_768]) ).
tcf(c_177388,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k5_finsub_1(X0))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_47208,c_770]) ).
tcf(c_177389,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(X0),k1_zfmisc_1(np__0))
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_47208,c_770]) ).
tcf(c_177390,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_770,c_377]) ).
tcf(c_177391,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k5_finsub_1(X0),k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_770,c_376]) ).
tcf(c_177394,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(np__0),k5_finsub_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_177388,c_391]) ).
tcf(c_177409,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k6_partfun1(X0))
| ~ v1_relat_1(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2854,c_779]) ).
tcf(c_177410,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_779,c_768]) ).
tcf(c_177411,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k6_partfun1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177409,c_2834]) ).
tcf(c_177424,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168873,c_802]) ).
tcf(c_177425,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_122,c_802]) ).
tcf(c_177428,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_zfmisc_1(X0,X1))
| ~ v1_finset_1(k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))) ),
inference(superposition,[status(thm)],[c_505,c_802]) ).
tcf(c_177429,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(X2)
| ~ r1_tarski(X2,X1)
| ~ v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_537,c_802]) ).
tcf(c_177430,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_540,c_802]) ).
tcf(c_177431,plain,
! [X0: $i] :
( v1_finset_1(k5_finsub_1(X0))
| ~ v1_finset_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_769,c_802]) ).
tcf(c_177432,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_770,c_802]) ).
tcf(c_177433,plain,
! [X0: $i] :
( v1_finset_1(k2_relat_1(sK146(X0,np__0)))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_843,c_802]) ).
tcf(c_177436,plain,
! [X0: $i] :
( v1_finset_1(k2_tarski(X0,X0))
| ~ v1_finset_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1102,c_802]) ).
tcf(c_177439,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k1_zfmisc_1(k3_tarski(X0))) ),
inference(superposition,[status(thm)],[c_1184,c_802]) ).
tcf(c_177441,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_1929,c_802]) ).
tcf(c_177442,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(X0,X0))
| ~ v1_finset_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2037,c_802]) ).
tcf(c_177443,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(X1,X1))
| ~ v1_finset_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2020,c_802]) ).
tcf(c_177447,plain,
! [X0: $i] :
( v1_finset_1(X0)
| r2_hidden(sK375(X0),X0)
| ~ v1_finset_1(sK376(X0)) ),
inference(superposition,[status(thm)],[c_2256,c_802]) ).
tcf(c_177448,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v3_ordinal1(sK375(X0))
| ~ v1_finset_1(sK376(X0)) ),
inference(superposition,[status(thm)],[c_2254,c_802]) ).
tcf(c_177450,plain,
! [X0: $i] :
( v1_finset_1(k6_partfun1(X0))
| ~ v1_finset_1(k2_zfmisc_1(X0,X0)) ),
inference(superposition,[status(thm)],[c_2813,c_802]) ).
tcf(c_177451,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_2876,c_802]) ).
tcf(c_177452,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_2877,c_802]) ).
tcf(c_177457,plain,
( v1_finset_1(k1_numbers)
| ~ v1_finset_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_3071,c_802]) ).
tcf(c_177458,plain,
( v1_finset_1(k5_numbers)
| ~ v1_finset_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3091,c_802]) ).
tcf(c_177461,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_3126,c_802]) ).
tcf(c_177462,plain,
( v1_finset_1(k5_numbers)
| ~ v1_finset_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_3145,c_802]) ).
tcf(c_177463,plain,
( v1_finset_1(k3_numbers)
| ~ v1_finset_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_3146,c_802]) ).
tcf(c_177464,plain,
! [X0: $i] :
( v1_finset_1(k4_classes1(k1_card_1(X0)))
| ~ v2_classes1(X0)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_3158,c_802]) ).
tcf(c_177465,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_3411,c_802]) ).
tcf(c_177466,plain,
! [X0: $i] :
( v1_finset_1(k1_setfam_1(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_3412,c_802]) ).
tcf(c_177467,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_funct_2(X0,X1))
| ~ v1_finset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_3467,c_802]) ).
tcf(c_177468,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_3893,c_802]) ).
tcf(c_177469,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK54(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_168498,c_802]) ).
tcf(c_177472,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k1_setfam_1(k2_tarski(X0,X2)))
| ~ v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_49625,c_802]) ).
tcf(c_177473,plain,
! [X0: $i] :
( v1_finset_1(k1_setfam_1(k1_zfmisc_1(X0)))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_164196,c_802]) ).
tcf(c_177479,plain,
! [X0: $i] :
( v1_finset_1(sK43(k1_zfmisc_1(X0)))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_168495,c_802]) ).
tcf(c_177480,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ~ v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_169158,c_802]) ).
tcf(c_177481,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k3_relat_1(k6_partfun1(X0))) ),
inference(superposition,[status(thm)],[c_171630,c_802]) ).
tcf(c_177482,plain,
! [X0: $i] :
( v1_finset_1(k1_funct_2(X0,np__0))
| ~ v1_finset_1(k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173434,c_802]) ).
tcf(c_177485,plain,
( v1_finset_1(sK87(k1_zfmisc_1(u1_struct_0(sK42))))
| ~ v1_finset_1(u1_struct_0(sK42)) ),
inference(superposition,[status(thm)],[c_176211,c_802]) ).
tcf(c_177488,plain,
~ v1_finset_1(k3_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_177462,c_772]) ).
tcf(c_177489,plain,
~ v1_finset_1(k1_numbers),
inference(backward_subsumption_resolution,[status(thm)],[c_177463,c_177488]) ).
tcf(c_177490,plain,
~ v1_finset_1(k4_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_177458,c_772]) ).
tcf(c_177491,plain,
~ v1_finset_1(k2_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_177457,c_177489]) ).
tcf(c_177508,plain,
! [X0: $i] : v1_finset_1(k1_funct_2(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_177482,c_165600]) ).
tcf(c_177585,plain,
( ( k1_zfmisc_1(sK87(k1_zfmisc_1(u1_struct_0(sK42)))) = k5_finsub_1(sK87(k1_zfmisc_1(u1_struct_0(sK42)))) )
| ~ v1_finset_1(u1_struct_0(sK42)) ),
inference(superposition,[status(thm)],[c_177485,c_768]) ).
tcf(c_177593,plain,
! [X0: $i] : k1_zfmisc_1(k1_funct_2(X0,np__0)) = k5_finsub_1(k1_funct_2(X0,np__0)),
inference(superposition,[status(thm)],[c_177508,c_768]) ).
tcf(c_177597,plain,
! [X0: $i] :
( v1_relat_1(k1_zfmisc_1(np__0))
| ~ v1_relat_1(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_177394,c_377]) ).
tcf(c_177598,plain,
! [X0: $i] : ~ r2_hidden(k5_finsub_1(X0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_177394,c_376]) ).
tcf(c_177607,plain,
( v1_xboole_0(k1_zfmisc_1(np__0))
| r2_hidden(np__0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_168844,c_175554]) ).
tcf(c_177608,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK43(X0)) ),
inference(superposition,[status(thm)],[c_175554,c_431]) ).
tcf(c_177609,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_175554,c_427]) ).
tcf(c_177614,plain,
( v1_xboole_0(k1_numbers)
| v1_xreal_0(sK43(k1_numbers)) ),
inference(superposition,[status(thm)],[c_175554,c_2361]) ).
tcf(c_177616,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_funct_2(X0,X1))
| v1_funct_1(sK43(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_175554,c_3470]) ).
tcf(c_177617,plain,
v1_xreal_0(sK43(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_177614,c_2048]) ).
tcf(c_177625,plain,
v1_xcmplx_0(sK43(k1_numbers)),
inference(superposition,[status(thm)],[c_177617,c_1732]) ).
tcf(c_177626,plain,
~ r2_hidden(k1_zfmisc_1(k1_numbers),sK87(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_176193,c_431]) ).
tcf(c_177629,plain,
m1_subset_1(sK87(k1_zfmisc_1(k1_numbers)),k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_176193,c_421]) ).
tcf(c_177630,plain,
r1_tarski(sK87(k1_zfmisc_1(k1_numbers)),k1_numbers),
inference(superposition,[status(thm)],[c_176193,c_126]) ).
tcf(c_177631,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_177273,c_78840,c_177273]) ).
tcf(c_177638,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_177631,c_100]) ).
tcf(c_177639,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_177631,c_425]) ).
tcf(c_177640,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_177631,c_423]) ).
tcf(c_177641,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_177631,c_78786]) ).
tcf(c_177644,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177640,c_121]) ).
tcf(c_177660,plain,
! [X0: $i] :
( v1_xboole_0(sK146(X0,np__0))
| ~ v1_xboole_0(np__0)
| ~ v1_relat_1(sK146(X0,np__0)) ),
inference(superposition,[status(thm)],[c_842,c_874]) ).
tcf(c_177662,plain,
! [X0: $i] :
( v1_xboole_0(k6_partfun1(X0))
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2853,c_874]) ).
tcf(c_177663,plain,
! [X0: $i] :
( v1_xboole_0(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177662,c_2834]) ).
tcf(c_177666,plain,
! [X0: $i] : v1_xboole_0(sK146(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_177660,c_2187,c_844]) ).
tcf(c_177677,plain,
k5_relat_1(np__0,sK90) = np__0,
inference(superposition,[status(thm)],[c_437,c_967]) ).
tcf(c_177678,plain,
k5_relat_1(np__0,np__0) = np__0,
inference(superposition,[status(thm)],[c_2077,c_967]) ).
tcf(c_177679,plain,
! [X0: $i,X1: $i] : k5_relat_1(np__0,k2_zfmisc_1(X0,X1)) = np__0,
inference(superposition,[status(thm)],[c_623,c_967]) ).
tcf(c_177680,plain,
k5_relat_1(np__0,sK119) = np__0,
inference(superposition,[status(thm)],[c_633,c_967]) ).
tcf(c_177681,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(np__0,sK121(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_650,c_967]) ).
tcf(c_177682,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(np__0,sK120(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_652,c_967]) ).
tcf(c_177683,plain,
k5_relat_1(np__0,sK138) = np__0,
inference(superposition,[status(thm)],[c_781,c_967]) ).
tcf(c_177684,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(np__0,sK146(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_840,c_967]) ).
tcf(c_177685,plain,
! [X0: $i] : k5_relat_1(np__0,sK146(X0,np__0)) = np__0,
inference(superposition,[status(thm)],[c_844,c_967]) ).
tcf(c_177686,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(np__0,sK147(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_847,c_967]) ).
tcf(c_177687,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,k1_relat_1(X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_873,c_967]) ).
tcf(c_177690,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,k2_relat_1(X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1007,c_967]) ).
tcf(c_177691,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_1124,c_967]) ).
tcf(c_177692,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_1593,c_967]) ).
tcf(c_177693,plain,
! [X0: $i,X1: $i] : k5_relat_1(np__0,sK276(X0,X1)) = np__0,
inference(superposition,[status(thm)],[c_1615,c_967]) ).
tcf(c_177694,plain,
! [X0: $i,X1: $i] : k5_relat_1(np__0,sK277(X0,X1)) = np__0,
inference(superposition,[status(thm)],[c_1619,c_967]) ).
tcf(c_177695,plain,
k5_relat_1(np__0,sK336) = np__0,
inference(superposition,[status(thm)],[c_1830,c_967]) ).
tcf(c_177696,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_1905,c_967]) ).
tcf(c_177697,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,sK356(X0)) = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2069,c_967]) ).
tcf(c_177698,plain,
k5_relat_1(np__0,sK357) = np__0,
inference(superposition,[status(thm)],[c_2081,c_967]) ).
tcf(c_177699,plain,
! [X0: $i] : k5_relat_1(np__0,sK358(X0)) = np__0,
inference(superposition,[status(thm)],[c_2086,c_967]) ).
tcf(c_177700,plain,
k5_relat_1(np__0,sK359) = np__0,
inference(superposition,[status(thm)],[c_2091,c_967]) ).
tcf(c_177701,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(np__0,sK394(X0,X1)) = np__0 )
| ~ sP22(X0,X1) ),
inference(superposition,[status(thm)],[c_2446,c_967]) ).
tcf(c_177702,plain,
! [X0: $i] : k5_relat_1(np__0,k6_partfun1(X0)) = np__0,
inference(superposition,[status(thm)],[c_2834,c_967]) ).
tcf(c_177703,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_3870,c_967]) ).
tcf(c_177704,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,k4_relat_1(X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3937,c_967]) ).
tcf(c_177705,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,k4_relat_1(X0)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3921,c_967]) ).
tcf(c_177706,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_49629,c_967]) ).
tcf(c_177707,plain,
! [X0: $i,X1: $i] : k5_relat_1(np__0,sK43(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = np__0,
inference(superposition,[status(thm)],[c_174999,c_967]) ).
tcf(c_177708,plain,
( ( k5_relat_1(np__0,sK87(k1_zfmisc_1(u1_struct_0(sK42)))) = np__0 )
| ~ v1_relat_1(u1_struct_0(sK42)) ),
inference(superposition,[status(thm)],[c_176212,c_967]) ).
tcf(c_177767,plain,
k5_relat_1(sK90,np__0) = np__0,
inference(superposition,[status(thm)],[c_437,c_968]) ).
tcf(c_177769,plain,
! [X0: $i,X1: $i] : k5_relat_1(k2_zfmisc_1(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_623,c_968]) ).
tcf(c_177770,plain,
k5_relat_1(sK119,np__0) = np__0,
inference(superposition,[status(thm)],[c_633,c_968]) ).
tcf(c_177771,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(sK121(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_650,c_968]) ).
tcf(c_177772,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(sK120(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_652,c_968]) ).
tcf(c_177773,plain,
k5_relat_1(sK138,np__0) = np__0,
inference(superposition,[status(thm)],[c_781,c_968]) ).
tcf(c_177774,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(sK146(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_840,c_968]) ).
tcf(c_177775,plain,
! [X0: $i] : k5_relat_1(sK146(X0,np__0),np__0) = np__0,
inference(superposition,[status(thm)],[c_844,c_968]) ).
tcf(c_177776,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(sK147(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_847,c_968]) ).
tcf(c_177777,plain,
! [X0: $i] :
( ( k5_relat_1(k1_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_873,c_968]) ).
tcf(c_177780,plain,
! [X0: $i] :
( ( k5_relat_1(k2_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1007,c_968]) ).
tcf(c_177781,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_1124,c_968]) ).
tcf(c_177782,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_1593,c_968]) ).
tcf(c_177783,plain,
! [X0: $i,X1: $i] : k5_relat_1(sK276(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_1615,c_968]) ).
tcf(c_177784,plain,
! [X0: $i,X1: $i] : k5_relat_1(sK277(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_1619,c_968]) ).
tcf(c_177785,plain,
k5_relat_1(sK336,np__0) = np__0,
inference(superposition,[status(thm)],[c_1830,c_968]) ).
tcf(c_177786,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_1905,c_968]) ).
tcf(c_177787,plain,
! [X0: $i] :
( ( k5_relat_1(sK356(X0),np__0) = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2069,c_968]) ).
tcf(c_177788,plain,
k5_relat_1(sK357,np__0) = np__0,
inference(superposition,[status(thm)],[c_2081,c_968]) ).
tcf(c_177789,plain,
! [X0: $i] : k5_relat_1(sK358(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_2086,c_968]) ).
tcf(c_177790,plain,
k5_relat_1(sK359,np__0) = np__0,
inference(superposition,[status(thm)],[c_2091,c_968]) ).
tcf(c_177791,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(sK394(X0,X1),np__0) = np__0 )
| ~ sP22(X0,X1) ),
inference(superposition,[status(thm)],[c_2446,c_968]) ).
tcf(c_177792,plain,
! [X0: $i] : k5_relat_1(k6_partfun1(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_2834,c_968]) ).
tcf(c_177793,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_3870,c_968]) ).
tcf(c_177794,plain,
! [X0: $i] :
( ( k5_relat_1(k4_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3937,c_968]) ).
tcf(c_177795,plain,
! [X0: $i] :
( ( k5_relat_1(k4_relat_1(X0),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3921,c_968]) ).
tcf(c_177796,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_49629,c_968]) ).
tcf(c_177797,plain,
! [X0: $i,X1: $i] : k5_relat_1(sK43(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_174999,c_968]) ).
tcf(c_177798,plain,
( ( k5_relat_1(sK87(k1_zfmisc_1(u1_struct_0(sK42))),np__0) = np__0 )
| ~ v1_relat_1(u1_struct_0(sK42)) ),
inference(superposition,[status(thm)],[c_176212,c_968]) ).
tcf(c_177853,plain,
! [X0: $i] : v3_ordinal1(sK146(X0,np__0)),
inference(superposition,[status(thm)],[c_177666,c_165079]) ).
tcf(c_177854,plain,
! [X0: $i] : sK146(X0,np__0) = np__0,
inference(superposition,[status(thm)],[c_177666,c_446]) ).
tcf(c_177855,plain,
! [X0: $i] : v2_funct_1(sK146(X0,np__0)),
inference(superposition,[status(thm)],[c_177666,c_7115]) ).
tcf(c_177856,plain,
! [X0: $i] : v1_realset1(sK146(X0,np__0)),
inference(superposition,[status(thm)],[c_177666,c_3026]) ).
tcf(c_177857,plain,
! [X0: $i] : v5_membered(sK146(X0,np__0)),
inference(superposition,[status(thm)],[c_177666,c_2186]) ).
tcf(c_177858,plain,
! [X0: $i] : v4_membered(sK146(X0,np__0)),
inference(superposition,[status(thm)],[c_177666,c_2185]) ).
tcf(c_177859,plain,
! [X0: $i] : v3_membered(sK146(X0,np__0)),
inference(superposition,[status(thm)],[c_177666,c_2184]) ).
tcf(c_177860,plain,
! [X0: $i] : v2_membered(sK146(X0,np__0)),
inference(superposition,[status(thm)],[c_177666,c_2183]) ).
tcf(c_177861,plain,
! [X0: $i] : v1_membered(sK146(X0,np__0)),
inference(superposition,[status(thm)],[c_177666,c_2182]) ).
tcf(c_177862,plain,
! [X0: $i] : v1_finset_1(sK146(X0,np__0)),
inference(superposition,[status(thm)],[c_177666,c_816]) ).
tcf(c_177868,plain,
! [X0: $i] : r1_tarski(k2_relat_1(np__0),X0),
inference(demodulation,[status(thm)],[c_843,c_177854]) ).
tcf(c_177875,plain,
v5_membered(k2_relat_1(np__0)),
inference(demodulation,[status(thm)],[c_169553,c_177854]) ).
tcf(c_177882,plain,
v4_membered(k2_relat_1(np__0)),
inference(demodulation,[status(thm)],[c_169778,c_177854]) ).
tcf(c_177883,plain,
v2_membered(k2_relat_1(np__0)),
inference(demodulation,[status(thm)],[c_170276,c_177854]) ).
tcf(c_177884,plain,
v1_membered(k2_relat_1(np__0)),
inference(demodulation,[status(thm)],[c_170275,c_177854]) ).
tcf(c_177885,plain,
v3_membered(k2_relat_1(np__0)),
inference(demodulation,[status(thm)],[c_170173,c_177854]) ).
tcf(c_177919,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_177641,c_78840,c_177641]) ).
tcf(c_177926,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_177919,c_100]) ).
tcf(c_177927,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_177919,c_425]) ).
tcf(c_177928,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_177919,c_423]) ).
tcf(c_177929,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_177919,c_78786]) ).
tcf(c_177932,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177928,c_121]) ).
tcf(c_177958,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(np__0),X0)
| ~ r2_hidden(np__0,X0) ),
inference(superposition,[status(thm)],[c_1112,c_1108]) ).
tcf(c_177959,plain,
! [X0: $i] :
( r1_tarski(k2_finseq_1(np__1),X0)
| ~ r2_hidden(np__1,X0) ),
inference(superposition,[status(thm)],[c_57872,c_1108]) ).
tcf(c_177960,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(X0,X0))
| ~ v1_finset_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1108,c_802]) ).
tcf(c_177961,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_tarski(X0,X0))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1108,c_377]) ).
tcf(c_177962,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_1108,c_376]) ).
tcf(c_177965,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_tarski(X0,X0),X2)
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_1108,c_694]) ).
tcf(c_177966,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_tarski(X0,X0),X1)
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_1108,c_693]) ).
tcf(c_177967,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_1108,c_168451]) ).
tcf(c_177968,plain,
! [X0: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_1108,c_168450]) ).
tcf(c_177969,plain,
! [X0: $i] :
( v3_membered(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_1108,c_168449]) ).
tcf(c_177970,plain,
! [X0: $i] :
( v4_membered(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_1108,c_168448]) ).
tcf(c_177971,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_1108,c_168454]) ).
tcf(c_177972,plain,
! [X0: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_1108,c_168453]) ).
tcf(c_177973,plain,
! [X0: $i] :
( v3_membered(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_1108,c_168452]) ).
tcf(c_177974,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_1108,c_168442]) ).
tcf(c_177975,plain,
! [X0: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_1108,c_168441]) ).
tcf(c_177976,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_1108,c_168447]) ).
tcf(c_177977,plain,
! [X0: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_1108,c_168446]) ).
tcf(c_177978,plain,
! [X0: $i] :
( v3_membered(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_1108,c_168445]) ).
tcf(c_177979,plain,
! [X0: $i] :
( v4_membered(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_1108,c_168444]) ).
tcf(c_177980,plain,
! [X0: $i] :
( v5_membered(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_1108,c_168443]) ).
tcf(c_177981,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k2_numbers) ),
inference(superposition,[status(thm)],[c_1108,c_168455]) ).
tcf(c_178049,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_1143,c_802]) ).
tcf(c_178050,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_1143,c_377]) ).
tcf(c_178051,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_1143,c_376]) ).
tcf(c_178052,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_1143,c_173328]) ).
tcf(c_178053,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_1143,c_390]) ).
tcf(c_178054,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_1143,c_694]) ).
tcf(c_178055,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_1143,c_693]) ).
tcf(c_178056,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_1143,c_168451]) ).
tcf(c_178057,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_1143,c_168450]) ).
tcf(c_178058,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_1143,c_168449]) ).
tcf(c_178059,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_1143,c_168448]) ).
tcf(c_178060,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_1143,c_168454]) ).
tcf(c_178061,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_1143,c_168453]) ).
tcf(c_178062,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_1143,c_168452]) ).
tcf(c_178063,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_1143,c_168442]) ).
tcf(c_178064,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_1143,c_168441]) ).
tcf(c_178065,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_1143,c_168447]) ).
tcf(c_178066,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_1143,c_168446]) ).
tcf(c_178067,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_1143,c_168445]) ).
tcf(c_178068,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_1143,c_168444]) ).
tcf(c_178069,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_1143,c_168443]) ).
tcf(c_178070,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k2_numbers) ),
inference(superposition,[status(thm)],[c_1143,c_168455]) ).
tcf(c_178135,plain,
( v1_relat_1(sK87(k1_zfmisc_1(k1_numbers)))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_177630,c_377]) ).
tcf(c_178136,plain,
~ r2_hidden(k1_numbers,sK87(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_177630,c_376]) ).
tcf(c_178142,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),sK87(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_176198,c_431]) ).
tcf(c_178145,plain,
! [X0: $i] : m1_subset_1(sK87(k1_zfmisc_1(X0)),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_176198,c_421]) ).
tcf(c_178146,plain,
! [X0: $i] : r1_tarski(sK87(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_176198,c_126]) ).
tcf(c_178148,plain,
! [X0: $i] :
( v1_finset_1(sK87(k1_zfmisc_1(X0)))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_178146,c_802]) ).
tcf(c_178149,plain,
! [X0: $i] :
( v1_relat_1(sK87(k1_zfmisc_1(X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_178146,c_377]) ).
tcf(c_178150,plain,
! [X0: $i] : ~ r2_hidden(X0,sK87(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_178146,c_376]) ).
tcf(c_178151,plain,
v1_finset_1(sK87(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_178146,c_173328]) ).
tcf(c_178153,plain,
! [X0: $i,X1: $i] : r1_xboole_0(sK87(k1_zfmisc_1(k4_xboole_0(X0,X1))),X1),
inference(superposition,[status(thm)],[c_178146,c_694]) ).
tcf(c_178154,plain,
! [X0: $i,X1: $i] : r1_tarski(sK87(k1_zfmisc_1(k4_xboole_0(X0,X1))),X0),
inference(superposition,[status(thm)],[c_178146,c_693]) ).
tcf(c_178159,plain,
v1_membered(sK87(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_178146,c_168454]) ).
tcf(c_178160,plain,
v2_membered(sK87(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_178146,c_168453]) ).
tcf(c_178161,plain,
v3_membered(sK87(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_178146,c_168452]) ).
tcf(c_178187,plain,
! [X0: $i] :
( v3_ordinal1(sK43(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_176253,c_165079]) ).
tcf(c_178188,plain,
! [X0: $i] :
( ( sK43(X0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_176253,c_446]) ).
tcf(c_178189,plain,
! [X0: $i] :
( v2_funct_1(sK43(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_176253,c_7115]) ).
tcf(c_178190,plain,
! [X0: $i] :
( v1_realset1(sK43(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_176253,c_3026]) ).
tcf(c_178191,plain,
! [X0: $i] :
( v5_membered(sK43(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_176253,c_2186]) ).
tcf(c_178192,plain,
! [X0: $i] :
( v4_membered(sK43(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_176253,c_2185]) ).
tcf(c_178193,plain,
! [X0: $i] :
( v3_membered(sK43(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_176253,c_2184]) ).
tcf(c_178194,plain,
! [X0: $i] :
( v2_membered(sK43(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_176253,c_2183]) ).
tcf(c_178195,plain,
! [X0: $i] :
( v1_membered(sK43(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_176253,c_2182]) ).
tcf(c_178196,plain,
! [X0: $i] :
( v1_finset_1(sK43(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_176253,c_816]) ).
tcf(c_178197,plain,
! [X0: $i] :
( v1_relat_1(sK43(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_176253,c_440]) ).
tcf(c_178198,plain,
! [X0: $i] :
( v1_funct_1(sK43(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_176253,c_435]) ).
tcf(c_178235,plain,
r1_tarski(u1_struct_0(sK576),u1_struct_0(sK576)),
inference(superposition,[status(thm)],[c_176824,c_100]) ).
tcf(c_178236,plain,
( v1_xboole_0(u1_struct_0(sK576))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK576))) ),
inference(superposition,[status(thm)],[c_176824,c_425]) ).
tcf(c_178237,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK576)))
| r2_hidden(u1_struct_0(sK576),k1_zfmisc_1(u1_struct_0(sK576))) ),
inference(superposition,[status(thm)],[c_176824,c_423]) ).
tcf(c_178238,plain,
r2_hidden(u1_struct_0(sK576),k1_zfmisc_1(u1_struct_0(sK576))),
inference(forward_subsumption_resolution,[status(thm)],[c_178237,c_121]) ).
tcf(c_178239,plain,
r1_tarski(u1_struct_0(sK44),u1_struct_0(sK44)),
inference(superposition,[status(thm)],[c_176829,c_100]) ).
tcf(c_178240,plain,
( v1_xboole_0(u1_struct_0(sK44))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK44))) ),
inference(superposition,[status(thm)],[c_176829,c_425]) ).
tcf(c_178241,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK44)))
| r2_hidden(u1_struct_0(sK44),k1_zfmisc_1(u1_struct_0(sK44))) ),
inference(superposition,[status(thm)],[c_176829,c_423]) ).
tcf(c_178242,plain,
r2_hidden(u1_struct_0(sK44),k1_zfmisc_1(u1_struct_0(sK44))),
inference(forward_subsumption_resolution,[status(thm)],[c_178241,c_121]) ).
tcf(c_178248,plain,
r1_tarski(u1_struct_0(sK115),u1_struct_0(sK115)),
inference(superposition,[status(thm)],[c_176835,c_100]) ).
tcf(c_178249,plain,
( v1_xboole_0(u1_struct_0(sK115))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK115))) ),
inference(superposition,[status(thm)],[c_176835,c_425]) ).
tcf(c_178250,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK115)))
| r2_hidden(u1_struct_0(sK115),k1_zfmisc_1(u1_struct_0(sK115))) ),
inference(superposition,[status(thm)],[c_176835,c_423]) ).
tcf(c_178251,plain,
r2_hidden(u1_struct_0(sK115),k1_zfmisc_1(u1_struct_0(sK115))),
inference(forward_subsumption_resolution,[status(thm)],[c_178250,c_121]) ).
tcf(c_178257,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_177929,c_78840,c_177929]) ).
tcf(c_178264,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_178257,c_100]) ).
tcf(c_178265,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_178257,c_425]) ).
tcf(c_178266,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_178257,c_423]) ).
tcf(c_178267,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_178257,c_78786]) ).
tcf(c_178270,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178266,c_121]) ).
tcf(c_178283,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| r2_hidden(sK85(k4_xboole_0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_398,c_1158]) ).
tcf(c_178285,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK122(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_654,c_1158]) ).
tcf(c_178286,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK124(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_660,c_1158]) ).
tcf(c_178287,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK125(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_662,c_1158]) ).
tcf(c_178288,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK126(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_664,c_1158]) ).
tcf(c_178289,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_666,c_1158]) ).
tcf(c_178290,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK128(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_668,c_1158]) ).
tcf(c_178291,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK129(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_670,c_1158]) ).
tcf(c_178292,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k4_xboole_0(X0,X1),X2)
| r2_hidden(sK131(k4_xboole_0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_732,c_1158]) ).
tcf(c_178293,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X1,X2))
| r2_hidden(sK131(X0,k4_xboole_0(X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_733,c_1158]) ).
tcf(c_178294,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK182(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_1014,c_1158]) ).
tcf(c_178295,plain,
! [X0: $i,X1: $i] :
( sP9(k4_xboole_0(X0,X1))
| v1_funct_1(k4_xboole_0(X0,X1))
| r2_hidden(sK188(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1026,c_1158]) ).
tcf(c_178296,plain,
! [X0: $i,X1: $i] :
( sP9(k4_xboole_0(X0,X1))
| v1_relat_1(k4_xboole_0(X0,X1))
| r2_hidden(sK188(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1024,c_1158]) ).
tcf(c_178297,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| r2_hidden(sK201(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1045,c_1158]) ).
tcf(c_178298,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_1162,c_1158]) ).
tcf(c_178299,plain,
! [X0: $i,X1: $i] :
( v3_membered(k3_tarski(k4_xboole_0(X0,X1)))
| r2_hidden(sK232(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1164,c_1158]) ).
tcf(c_178300,plain,
! [X0: $i,X1: $i] :
( v2_membered(k3_tarski(k4_xboole_0(X0,X1)))
| r2_hidden(sK233(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1166,c_1158]) ).
tcf(c_178301,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k4_xboole_0(X0,X1)))
| r2_hidden(sK234(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1168,c_1158]) ).
tcf(c_178302,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k3_tarski(k4_xboole_0(X0,X1)))
| r2_hidden(sK236(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1175,c_1158]) ).
tcf(c_178303,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK255(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1269,c_1158]) ).
tcf(c_178304,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK313(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1717,c_1158]) ).
tcf(c_178305,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK365(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_2114,c_1158]) ).
tcf(c_178306,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK372(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_2248,c_1158]) ).
tcf(c_178307,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(sK374(k4_xboole_0(X0,X1)))
| r2_hidden(sK374(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_2253,c_1158]) ).
tcf(c_178308,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(sK376(k4_xboole_0(X0,X1)))
| r2_hidden(sK375(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_2257,c_1158]) ).
tcf(c_178309,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k4_xboole_0(X0,X1))
| r2_hidden(sK377(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_2259,c_1158]) ).
tcf(c_178310,plain,
! [X0: $i,X1: $i] :
( v5_membered(k3_tarski(k4_xboole_0(X0,X1)))
| r2_hidden(sK381(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_2332,c_1158]) ).
tcf(c_178311,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,X1))
| r2_hidden(sK484(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_3010,c_1158]) ).
tcf(c_178312,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,X1))
| r2_hidden(sK485(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_3011,c_1158]) ).
tcf(c_178313,plain,
! [X0: $i,X1: $i] :
( r2_hidden(np__0,X0)
| v1_xboole_0(k4_xboole_0(X0,X1))
| ~ v1_classes2(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_3075,c_1158]) ).
tcf(c_178314,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k1_setfam_1(k4_xboole_0(X0,X1)))
| r2_hidden(sK535(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_3401,c_1158]) ).
tcf(c_178315,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,X1))
| r2_hidden(sK87(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_168917,c_1158]) ).
tcf(c_178316,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k4_xboole_0(X0,X1))
| r2_hidden(sK87(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_168914,c_1158]) ).
tcf(c_178317,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK87(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_168911,c_1158]) ).
tcf(c_178318,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK87(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_168910,c_1158]) ).
tcf(c_178319,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK87(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_168906,c_1158]) ).
tcf(c_178320,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK87(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_168905,c_1158]) ).
tcf(c_178321,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| r2_hidden(sK87(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_168899,c_1158]) ).
tcf(c_178322,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r2_hidden(sK43(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_175554,c_1158]) ).
tcf(c_178443,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(X0),X1)
| ~ r2_hidden(X0,sK240(X0,X1)) ),
inference(superposition,[status(thm)],[c_1187,c_431]) ).
tcf(c_178444,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(X0),X1)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_1187,c_427]) ).
tcf(c_178445,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(X0),X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1187,c_426]) ).
tcf(c_178446,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(X0),X1)
| m1_subset_1(sK240(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_1187,c_421]) ).
tcf(c_178447,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(k1_zfmisc_1(X0)),X1)
| r1_tarski(sK240(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_1187,c_126]) ).
tcf(c_178448,plain,
! [X0: $i] : r1_xboole_0(k3_tarski(np__0),X0),
inference(superposition,[status(thm)],[c_1187,c_655]) ).
tcf(c_178449,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k3_tarski(k4_xboole_0(X0,X1)),X2)
| r2_hidden(sK240(k4_xboole_0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_1187,c_1158]) ).
tcf(c_178450,plain,
! [X0: $i] :
( v1_xreal_0(sK240(k1_numbers,X0))
| r1_xboole_0(k3_tarski(k1_numbers),X0) ),
inference(superposition,[status(thm)],[c_1187,c_2361]) ).
tcf(c_178451,plain,
! [X0: $i] :
( v1_int_1(sK240(k4_numbers,X0))
| r1_xboole_0(k3_tarski(k4_numbers),X0) ),
inference(superposition,[status(thm)],[c_1187,c_3085]) ).
tcf(c_178452,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(sK240(k1_funct_2(X0,X1),X2))
| r1_xboole_0(k3_tarski(k1_funct_2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_1187,c_3470]) ).
tcf(c_178466,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r1_tarski(sK240(k1_zfmisc_1(X0),X1),X0) ),
inference(light_normalisation,[status(thm)],[c_178447,c_1185]) ).
tcf(c_178485,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_xboole_0(X0,X1),k3_tarski(X2))
| ~ r1_tarski(k2_tarski(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_49,c_1190]) ).
tcf(c_178486,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k3_tarski(X1))
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_1185,c_1190]) ).
tcf(c_178487,plain,
! [X0: $i] :
( r1_tarski(np__0,k3_tarski(X0))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_1196,c_1190]) ).
tcf(c_178488,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(X0),k2_xboole_0(X1,X2))
| ~ r1_tarski(X0,k2_tarski(X1,X2)) ),
inference(superposition,[status(thm)],[c_49,c_1190]) ).
tcf(c_178489,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),X1)
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_1185,c_1190]) ).
tcf(c_178490,plain,
! [X0: $i] :
( r1_tarski(k3_tarski(X0),np__0)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_1196,c_1190]) ).
tcf(c_178491,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_1190,c_802]) ).
tcf(c_178492,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_1190,c_377]) ).
tcf(c_178493,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k3_tarski(X0),k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1190,c_376]) ).
tcf(c_178521,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),X1)
| ~ r2_hidden(X0,sK241(X0,X1)) ),
inference(superposition,[status(thm)],[c_1192,c_431]) ).
tcf(c_178522,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK87(X0),X0)
| r1_tarski(k3_tarski(X0),X1) ),
inference(superposition,[status(thm)],[c_1192,c_427]) ).
tcf(c_178523,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1192,c_426]) ).
tcf(c_178524,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),X1)
| m1_subset_1(sK241(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_1192,c_421]) ).
tcf(c_178525,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(k1_zfmisc_1(X0)),X1)
| r1_tarski(sK241(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_1192,c_126]) ).
tcf(c_178526,plain,
! [X0: $i] : r1_tarski(k3_tarski(np__0),X0),
inference(superposition,[status(thm)],[c_1192,c_655]) ).
tcf(c_178527,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(k4_xboole_0(X0,X1)),X2)
| r2_hidden(sK241(k4_xboole_0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_1192,c_1158]) ).
tcf(c_178528,plain,
! [X0: $i] :
( v1_xreal_0(sK241(k1_numbers,X0))
| r1_tarski(k3_tarski(k1_numbers),X0) ),
inference(superposition,[status(thm)],[c_1192,c_2361]) ).
tcf(c_178529,plain,
! [X0: $i] :
( v1_int_1(sK241(k4_numbers,X0))
| r1_tarski(k3_tarski(k4_numbers),X0) ),
inference(superposition,[status(thm)],[c_1192,c_3085]) ).
tcf(c_178530,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(sK241(k1_funct_2(X0,X1),X2))
| r1_tarski(k3_tarski(k1_funct_2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_1192,c_3470]) ).
tcf(c_178544,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_tarski(sK241(k1_zfmisc_1(X0),X1),X0) ),
inference(light_normalisation,[status(thm)],[c_178525,c_1185]) ).
tcf(c_178559,plain,
r1_tarski(u1_struct_0(sK265),u1_struct_0(sK265)),
inference(superposition,[status(thm)],[c_176841,c_100]) ).
tcf(c_178560,plain,
( v1_xboole_0(u1_struct_0(sK265))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK265))) ),
inference(superposition,[status(thm)],[c_176841,c_425]) ).
tcf(c_178561,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK265)))
| r2_hidden(u1_struct_0(sK265),k1_zfmisc_1(u1_struct_0(sK265))) ),
inference(superposition,[status(thm)],[c_176841,c_423]) ).
tcf(c_178562,plain,
r2_hidden(u1_struct_0(sK265),k1_zfmisc_1(u1_struct_0(sK265))),
inference(forward_subsumption_resolution,[status(thm)],[c_178561,c_121]) ).
tcf(c_178563,plain,
r1_tarski(u1_struct_0(sK266),u1_struct_0(sK266)),
inference(superposition,[status(thm)],[c_176846,c_100]) ).
tcf(c_178564,plain,
( v1_xboole_0(u1_struct_0(sK266))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK266))) ),
inference(superposition,[status(thm)],[c_176846,c_425]) ).
tcf(c_178565,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK266)))
| r2_hidden(u1_struct_0(sK266),k1_zfmisc_1(u1_struct_0(sK266))) ),
inference(superposition,[status(thm)],[c_176846,c_423]) ).
tcf(c_178566,plain,
r2_hidden(u1_struct_0(sK266),k1_zfmisc_1(u1_struct_0(sK266))),
inference(forward_subsumption_resolution,[status(thm)],[c_178565,c_121]) ).
tcf(c_178567,plain,
r1_tarski(u1_struct_0(sK267),u1_struct_0(sK267)),
inference(superposition,[status(thm)],[c_177042,c_100]) ).
tcf(c_178568,plain,
( v1_xboole_0(u1_struct_0(sK267))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK267))) ),
inference(superposition,[status(thm)],[c_177042,c_425]) ).
tcf(c_178569,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK267)))
| r2_hidden(u1_struct_0(sK267),k1_zfmisc_1(u1_struct_0(sK267))) ),
inference(superposition,[status(thm)],[c_177042,c_423]) ).
tcf(c_178570,plain,
r2_hidden(u1_struct_0(sK267),k1_zfmisc_1(u1_struct_0(sK267))),
inference(forward_subsumption_resolution,[status(thm)],[c_178569,c_121]) ).
tcf(c_178571,plain,
r1_tarski(u1_struct_0(sK268),u1_struct_0(sK268)),
inference(superposition,[status(thm)],[c_177047,c_100]) ).
tcf(c_178572,plain,
( v1_xboole_0(u1_struct_0(sK268))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK268))) ),
inference(superposition,[status(thm)],[c_177047,c_425]) ).
tcf(c_178573,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK268)))
| r2_hidden(u1_struct_0(sK268),k1_zfmisc_1(u1_struct_0(sK268))) ),
inference(superposition,[status(thm)],[c_177047,c_423]) ).
tcf(c_178574,plain,
r2_hidden(u1_struct_0(sK268),k1_zfmisc_1(u1_struct_0(sK268))),
inference(forward_subsumption_resolution,[status(thm)],[c_178573,c_121]) ).
tcf(c_178575,plain,
r1_tarski(u1_struct_0(sK421),u1_struct_0(sK421)),
inference(superposition,[status(thm)],[c_177052,c_100]) ).
tcf(c_178576,plain,
( v1_xboole_0(u1_struct_0(sK421))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK421))) ),
inference(superposition,[status(thm)],[c_177052,c_425]) ).
tcf(c_178577,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK421)))
| r2_hidden(u1_struct_0(sK421),k1_zfmisc_1(u1_struct_0(sK421))) ),
inference(superposition,[status(thm)],[c_177052,c_423]) ).
tcf(c_178578,plain,
r2_hidden(u1_struct_0(sK421),k1_zfmisc_1(u1_struct_0(sK421))),
inference(forward_subsumption_resolution,[status(thm)],[c_178577,c_121]) ).
tcf(c_178579,plain,
r1_tarski(u1_struct_0(sK422),u1_struct_0(sK422)),
inference(superposition,[status(thm)],[c_177057,c_100]) ).
tcf(c_178580,plain,
( v1_xboole_0(u1_struct_0(sK422))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK422))) ),
inference(superposition,[status(thm)],[c_177057,c_425]) ).
tcf(c_178581,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK422)))
| r2_hidden(u1_struct_0(sK422),k1_zfmisc_1(u1_struct_0(sK422))) ),
inference(superposition,[status(thm)],[c_177057,c_423]) ).
tcf(c_178582,plain,
r2_hidden(u1_struct_0(sK422),k1_zfmisc_1(u1_struct_0(sK422))),
inference(forward_subsumption_resolution,[status(thm)],[c_178581,c_121]) ).
tcf(c_178583,plain,
r1_tarski(u1_struct_0(sK269),u1_struct_0(sK269)),
inference(superposition,[status(thm)],[c_177062,c_100]) ).
tcf(c_178584,plain,
( v1_xboole_0(u1_struct_0(sK269))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK269))) ),
inference(superposition,[status(thm)],[c_177062,c_425]) ).
tcf(c_178585,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK269)))
| r2_hidden(u1_struct_0(sK269),k1_zfmisc_1(u1_struct_0(sK269))) ),
inference(superposition,[status(thm)],[c_177062,c_423]) ).
tcf(c_178586,plain,
r2_hidden(u1_struct_0(sK269),k1_zfmisc_1(u1_struct_0(sK269))),
inference(forward_subsumption_resolution,[status(thm)],[c_178585,c_121]) ).
tcf(c_178592,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK70)),u1_struct_0(sK70)),
inference(superposition,[status(thm)],[c_177076,c_431]) ).
tcf(c_178593,plain,
r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK70))),k1_zfmisc_1(u1_struct_0(sK70))),
inference(superposition,[status(thm)],[c_177076,c_427]) ).
tcf(c_178594,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK70))),
inference(superposition,[status(thm)],[c_177076,c_426]) ).
tcf(c_178597,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK72)),u1_struct_0(sK72)),
inference(superposition,[status(thm)],[c_177218,c_431]) ).
tcf(c_178598,plain,
r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK72))),k1_zfmisc_1(u1_struct_0(sK72))),
inference(superposition,[status(thm)],[c_177218,c_427]) ).
tcf(c_178599,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK72))),
inference(superposition,[status(thm)],[c_177218,c_426]) ).
tcf(c_178602,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK609)),u1_struct_0(sK609)),
inference(superposition,[status(thm)],[c_177222,c_431]) ).
tcf(c_178603,plain,
r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK609))),k1_zfmisc_1(u1_struct_0(sK609))),
inference(superposition,[status(thm)],[c_177222,c_427]) ).
tcf(c_178604,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK609))),
inference(superposition,[status(thm)],[c_177222,c_426]) ).
tcf(c_178607,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK414)),u1_struct_0(sK414)),
inference(superposition,[status(thm)],[c_177231,c_431]) ).
tcf(c_178608,plain,
r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK414))),k1_zfmisc_1(u1_struct_0(sK414))),
inference(superposition,[status(thm)],[c_177231,c_427]) ).
tcf(c_178609,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK414))),
inference(superposition,[status(thm)],[c_177231,c_426]) ).
tcf(c_178612,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_178267,c_78840,c_178267]) ).
tcf(c_178619,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_178612,c_100]) ).
tcf(c_178620,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_178612,c_425]) ).
tcf(c_178621,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_178612,c_423]) ).
tcf(c_178622,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_178612,c_78786]) ).
tcf(c_178625,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178621,c_121]) ).
tcf(c_178638,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(X1))
| ~ m1_eqrel_1(X0,X1) ),
inference(superposition,[status(thm)],[c_1204,c_100]) ).
tcf(c_178639,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_1204,c_425]) ).
tcf(c_178640,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_1204,c_423]) ).
tcf(c_178643,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_178640,c_121]) ).
tcf(c_178654,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK245(X0)) ),
inference(superposition,[status(thm)],[c_1203,c_1205]) ).
tcf(c_178663,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v5_membered(X0)
| ~ r2_hidden(X0,sK254(X0)) ),
inference(superposition,[status(thm)],[c_1267,c_431]) ).
tcf(c_178666,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK254(X0),X0)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1267,c_421]) ).
tcf(c_178667,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK254(k1_zfmisc_1(X0)),X0)
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1267,c_126]) ).
tcf(c_178669,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r2_hidden(sK254(k4_xboole_0(X0,X1)),X0)
| ~ v5_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1267,c_1158]) ).
tcf(c_178670,plain,
( v1_xboole_0(k1_numbers)
| v1_xreal_0(sK254(k1_numbers))
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_1267,c_2361]) ).
tcf(c_178671,plain,
( v1_xboole_0(k4_numbers)
| v1_int_1(sK254(k4_numbers))
| ~ v5_membered(k4_numbers) ),
inference(superposition,[status(thm)],[c_1267,c_3085]) ).
tcf(c_178672,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_funct_2(X0,X1))
| v1_funct_1(sK254(k1_funct_2(X0,X1)))
| ~ v5_membered(k1_funct_2(X0,X1)) ),
inference(superposition,[status(thm)],[c_1267,c_3470]) ).
tcf(c_178673,plain,
( v1_int_1(sK254(k4_numbers))
| ~ v5_membered(k4_numbers) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178671,c_3094]) ).
tcf(c_178676,plain,
( v1_xreal_0(sK254(k1_numbers))
| ~ v5_membered(k1_numbers) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178670,c_2048]) ).
tcf(c_178685,plain,
! [X0: $i] :
( r1_tarski(sK254(k1_zfmisc_1(X0)),X0)
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178667,c_121]) ).
tcf(c_178703,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_125,c_1270]) ).
tcf(c_178704,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v4_ordinal2(sK85(X0,X1))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_398,c_1270]) ).
tcf(c_178706,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X1)
| ~ v5_membered(k2_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(superposition,[status(thm)],[c_489,c_1270]) ).
tcf(c_178707,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_ordinal2(X2)
| ~ r2_hidden(X2,X0)
| ~ v5_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_550,c_1270]) ).
tcf(c_178708,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_ordinal2(X2)
| ~ r2_hidden(X2,X1)
| ~ v5_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_551,c_1270]) ).
tcf(c_178709,plain,
! [X0: $i] :
( v4_ordinal2(sK122(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_654,c_1270]) ).
tcf(c_178710,plain,
! [X0: $i] :
( v4_ordinal2(sK124(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_660,c_1270]) ).
tcf(c_178711,plain,
! [X0: $i] :
( v4_ordinal2(sK125(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_662,c_1270]) ).
tcf(c_178712,plain,
! [X0: $i] :
( v4_ordinal2(sK126(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_664,c_1270]) ).
tcf(c_178713,plain,
! [X0: $i] :
( v4_ordinal2(sK127(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_666,c_1270]) ).
tcf(c_178714,plain,
! [X0: $i] :
( v4_ordinal2(sK128(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_668,c_1270]) ).
tcf(c_178715,plain,
! [X0: $i] :
( v4_ordinal2(sK129(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_670,c_1270]) ).
tcf(c_178716,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v4_ordinal2(sK131(X0,X1))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_732,c_1270]) ).
tcf(c_178717,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| v4_ordinal2(sK131(X1,X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_733,c_1270]) ).
tcf(c_178718,plain,
! [X0: $i] :
( v4_ordinal2(sK182(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1014,c_1270]) ).
tcf(c_178719,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| v4_ordinal2(sK188(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1026,c_1270]) ).
tcf(c_178720,plain,
! [X0: $i] :
( sP9(X0)
| v1_relat_1(X0)
| v4_ordinal2(sK188(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1024,c_1270]) ).
tcf(c_178721,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v4_ordinal2(sK201(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1045,c_1270]) ).
tcf(c_178722,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| v4_ordinal2(sK231(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1162,c_1270]) ).
tcf(c_178723,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| v4_ordinal2(sK232(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1164,c_1270]) ).
tcf(c_178724,plain,
! [X0: $i] :
( v2_membered(k3_tarski(X0))
| v4_ordinal2(sK233(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1166,c_1270]) ).
tcf(c_178725,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| v4_ordinal2(sK234(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1168,c_1270]) ).
tcf(c_178726,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| v4_ordinal2(sK236(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1175,c_1270]) ).
tcf(c_178727,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(sK240(X0,X1))
| r1_xboole_0(k3_tarski(X0),X1)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1187,c_1270]) ).
tcf(c_178728,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(sK241(X0,X1))
| r1_tarski(k3_tarski(X0),X1)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1192,c_1270]) ).
tcf(c_178731,plain,
! [X0: $i] :
( v1_membered(X0)
| v4_ordinal2(sK313(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1717,c_1270]) ).
tcf(c_178732,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2045,c_1270]) ).
tcf(c_178733,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X1)
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2046,c_1270]) ).
tcf(c_178734,plain,
! [X0: $i] :
( v4_ordinal2(k1_card_1(X0))
| ~ v5_membered(k1_card_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_2056,c_1270]) ).
tcf(c_178735,plain,
! [X0: $i] :
( v4_membered(X0)
| v4_ordinal2(sK365(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2114,c_1270]) ).
tcf(c_178736,plain,
! [X0: $i] :
( v2_membered(X0)
| v4_ordinal2(sK372(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2248,c_1270]) ).
tcf(c_178737,plain,
! [X0: $i] :
( v3_ordinal1(sK374(X0))
| v4_ordinal2(sK374(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2253,c_1270]) ).
tcf(c_178738,plain,
! [X0: $i] :
( v3_ordinal1(sK376(X0))
| v4_ordinal2(sK375(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2257,c_1270]) ).
tcf(c_178739,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v4_ordinal2(sK377(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2259,c_1270]) ).
tcf(c_178740,plain,
! [X0: $i] :
( v5_membered(k3_tarski(X0))
| v4_ordinal2(sK381(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2332,c_1270]) ).
tcf(c_178741,plain,
! [X0: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_2362,c_1270]) ).
tcf(c_178742,plain,
! [X0: $i] :
( v1_realset1(X0)
| v4_ordinal2(sK484(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_3010,c_1270]) ).
tcf(c_178743,plain,
! [X0: $i] :
( v1_realset1(X0)
| v4_ordinal2(sK485(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_3011,c_1270]) ).
tcf(c_178744,plain,
! [X0: $i] :
( v4_ordinal2(np__0)
| v1_xboole_0(X0)
| ~ v1_classes2(X0)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_3075,c_1270]) ).
tcf(c_178745,plain,
! [X0: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(k4_numbers)
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_3086,c_1270]) ).
tcf(c_178746,plain,
! [X0: $i] :
( v4_ordinal2(X0)
| ~ v3_ordinal1(X0)
| ~ v5_membered(sK503(X0)) ),
inference(superposition,[status(thm)],[c_3180,c_1270]) ).
tcf(c_178747,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| v4_ordinal2(sK535(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_3401,c_1270]) ).
tcf(c_178751,plain,
( v4_ordinal2(np__0)
| ~ v5_membered(k1_card_1(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_164343,c_1270]) ).
tcf(c_178752,plain,
! [X0: $i] :
( v4_ordinal2(np__0)
| ~ v5_membered(k2_xboole_0(X0,k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_165602,c_1270]) ).
tcf(c_178753,plain,
( v4_ordinal2(np__1)
| ~ v5_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_168404,c_1270]) ).
tcf(c_178754,plain,
! [X0: $i] :
( v4_ordinal2(np__1)
| ~ v5_membered(k2_xboole_0(X0,k2_finseq_1(np__1))) ),
inference(superposition,[status(thm)],[c_168396,c_1270]) ).
tcf(c_178755,plain,
! [X0: $i] :
( v1_realset1(X0)
| v4_ordinal2(sK87(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_168917,c_1270]) ).
tcf(c_178756,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v4_ordinal2(sK87(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_168914,c_1270]) ).
tcf(c_178757,plain,
! [X0: $i] :
( v2_membered(X0)
| v4_ordinal2(sK87(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_168911,c_1270]) ).
tcf(c_178758,plain,
! [X0: $i] :
( v4_membered(X0)
| v4_ordinal2(sK87(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_168910,c_1270]) ).
tcf(c_178759,plain,
! [X0: $i] :
( v1_membered(X0)
| v4_ordinal2(sK87(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_168906,c_1270]) ).
tcf(c_178761,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v4_ordinal2(sK87(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_168899,c_1270]) ).
tcf(c_178762,plain,
( v4_ordinal2(sK87(k1_numbers))
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_176188,c_1270]) ).
tcf(c_178763,plain,
( v4_ordinal2(sK87(k2_finseq_1(np__1)))
| ~ v5_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_168925,c_1270]) ).
tcf(c_178764,plain,
! [X0: $i] :
( v4_ordinal2(np__0)
| ~ v5_membered(k2_xboole_0(k1_zfmisc_1(np__0),X0)) ),
inference(superposition,[status(thm)],[c_169173,c_1270]) ).
tcf(c_178765,plain,
! [X0: $i] :
( v4_ordinal2(np__1)
| ~ v5_membered(k2_xboole_0(k2_finseq_1(np__1),X0)) ),
inference(superposition,[status(thm)],[c_169444,c_1270]) ).
tcf(c_178766,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK43(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_175554,c_1270]) ).
tcf(c_178767,plain,
! [X0: $i] :
( v4_ordinal2(np__0)
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_175692,c_1270]) ).
tcf(c_178768,plain,
( v4_ordinal2(k5_numbers)
| ~ v5_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_175691,c_1270]) ).
tcf(c_178769,plain,
( v4_ordinal2(sK314)
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_175686,c_1270]) ).
tcf(c_178770,plain,
( v4_ordinal2(u1_struct_0(sK42))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK42))) ),
inference(superposition,[status(thm)],[c_175756,c_1270]) ).
tcf(c_178771,plain,
! [X0: $i] :
( v4_ordinal2(sK87(k1_zfmisc_1(X0)))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_176198,c_1270]) ).
tcf(c_178772,plain,
( v4_ordinal2(u1_struct_0(sK70))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK70))) ),
inference(superposition,[status(thm)],[c_177076,c_1270]) ).
tcf(c_178773,plain,
( v4_ordinal2(u1_struct_0(sK72))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK72))) ),
inference(superposition,[status(thm)],[c_177218,c_1270]) ).
tcf(c_178774,plain,
( v4_ordinal2(u1_struct_0(sK609))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK609))) ),
inference(superposition,[status(thm)],[c_177222,c_1270]) ).
tcf(c_178775,plain,
( v4_ordinal2(u1_struct_0(sK414))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK414))) ),
inference(superposition,[status(thm)],[c_177231,c_1270]) ).
tcf(c_178991,plain,
( v4_ordinal2(u1_struct_0(sK494))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK494))) ),
inference(superposition,[status(thm)],[c_177240,c_1270]) ).
tcf(c_178992,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK494)),u1_struct_0(sK494)),
inference(superposition,[status(thm)],[c_177240,c_431]) ).
tcf(c_178993,plain,
r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK494))),k1_zfmisc_1(u1_struct_0(sK494))),
inference(superposition,[status(thm)],[c_177240,c_427]) ).
tcf(c_178994,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK494))),
inference(superposition,[status(thm)],[c_177240,c_426]) ).
tcf(c_178999,plain,
( v4_ordinal2(u1_struct_0(sK571))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK571))) ),
inference(superposition,[status(thm)],[c_177249,c_1270]) ).
tcf(c_179000,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK571)),u1_struct_0(sK571)),
inference(superposition,[status(thm)],[c_177249,c_431]) ).
tcf(c_179001,plain,
r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK571))),k1_zfmisc_1(u1_struct_0(sK571))),
inference(superposition,[status(thm)],[c_177249,c_427]) ).
tcf(c_179002,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK571))),
inference(superposition,[status(thm)],[c_177249,c_426]) ).
tcf(c_179007,plain,
( v4_ordinal2(u1_struct_0(sK133))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK133))) ),
inference(superposition,[status(thm)],[c_177253,c_1270]) ).
tcf(c_179008,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK133)),u1_struct_0(sK133)),
inference(superposition,[status(thm)],[c_177253,c_431]) ).
tcf(c_179009,plain,
r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK133))),k1_zfmisc_1(u1_struct_0(sK133))),
inference(superposition,[status(thm)],[c_177253,c_427]) ).
tcf(c_179010,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK133))),
inference(superposition,[status(thm)],[c_177253,c_426]) ).
tcf(c_179019,plain,
( v4_ordinal2(u1_struct_0(sK575))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK575))) ),
inference(superposition,[status(thm)],[c_177262,c_1270]) ).
tcf(c_179020,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK575)),u1_struct_0(sK575)),
inference(superposition,[status(thm)],[c_177262,c_431]) ).
tcf(c_179021,plain,
r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK575))),k1_zfmisc_1(u1_struct_0(sK575))),
inference(superposition,[status(thm)],[c_177262,c_427]) ).
tcf(c_179022,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK575))),
inference(superposition,[status(thm)],[c_177262,c_426]) ).
tcf(c_179027,plain,
r1_tarski(k1_zfmisc_1(np__0),k1_zfmisc_1(sK138)),
inference(superposition,[status(thm)],[c_177293,c_177394]) ).
tcf(c_179028,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(sK138),k5_finsub_1(X0))
| ~ r1_tarski(sK138,X0) ),
inference(superposition,[status(thm)],[c_177293,c_770]) ).
tcf(c_179029,plain,
( v5_membered(k5_finsub_1(sK138))
| v1_finset_1(sK255(k1_zfmisc_1(sK138))) ),
inference(superposition,[status(thm)],[c_177293,c_165771]) ).
tcf(c_179030,plain,
( v1_relat_1(k5_finsub_1(sK138))
| v1_finset_1(sK201(k1_zfmisc_1(sK138))) ),
inference(superposition,[status(thm)],[c_177293,c_165648]) ).
tcf(c_179031,plain,
~ r2_hidden(k1_zfmisc_1(sK138),k1_zfmisc_1(sK138)),
inference(superposition,[status(thm)],[c_177293,c_168777]) ).
tcf(c_179032,plain,
v1_finset_1(sK43(k1_zfmisc_1(sK138))),
inference(superposition,[status(thm)],[c_177293,c_165482]) ).
tcf(c_179033,plain,
( v1_xboole_0(sK138)
| m1_subset_1(sK135(sK138),k1_zfmisc_1(sK138)) ),
inference(superposition,[status(thm)],[c_177293,c_758]) ).
tcf(c_179034,plain,
m1_subset_1(np__0,k1_zfmisc_1(sK138)),
inference(superposition,[status(thm)],[c_177293,c_165175]) ).
tcf(c_179035,plain,
r1_tarski(k1_zfmisc_1(sK138),k1_zfmisc_1(sK138)),
inference(superposition,[status(thm)],[c_177293,c_769]) ).
tcf(c_179036,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(X0),k1_zfmisc_1(sK138))
| ~ r1_tarski(X0,sK138) ),
inference(superposition,[status(thm)],[c_177293,c_770]) ).
tcf(c_179037,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK138)) ),
inference(superposition,[status(thm)],[c_177293,c_771]) ).
tcf(c_179040,plain,
m1_subset_1(sK135(sK138),k1_zfmisc_1(sK138)),
inference(forward_subsumption_resolution,[status(thm)],[c_179033,c_780]) ).
tcf(c_179041,plain,
( v1_relat_1(k1_zfmisc_1(sK138))
| v1_finset_1(sK201(k1_zfmisc_1(sK138))) ),
inference(light_normalisation,[status(thm)],[c_179030,c_177293]) ).
tcf(c_179044,plain,
( v5_membered(k1_zfmisc_1(sK138))
| v1_finset_1(sK255(k1_zfmisc_1(sK138))) ),
inference(light_normalisation,[status(thm)],[c_179029,c_177293]) ).
tcf(c_179053,plain,
k1_zfmisc_1(sK43(k1_zfmisc_1(sK138))) = k5_finsub_1(sK43(k1_zfmisc_1(sK138))),
inference(superposition,[status(thm)],[c_179032,c_768]) ).
tcf(c_179055,plain,
( v1_relat_1(k1_zfmisc_1(np__0))
| ~ v1_relat_1(k1_zfmisc_1(sK138)) ),
inference(superposition,[status(thm)],[c_179027,c_377]) ).
tcf(c_179056,plain,
~ r2_hidden(k1_zfmisc_1(sK138),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_179027,c_376]) ).
tcf(c_179059,plain,
r1_tarski(sK135(sK138),sK138),
inference(superposition,[status(thm)],[c_179040,c_100]) ).
tcf(c_179060,plain,
( v1_xboole_0(sK135(sK138))
| ~ v1_xboole_0(k1_zfmisc_1(sK138)) ),
inference(superposition,[status(thm)],[c_179040,c_425]) ).
tcf(c_179061,plain,
( v1_xboole_0(k1_zfmisc_1(sK138))
| r2_hidden(sK135(sK138),k1_zfmisc_1(sK138)) ),
inference(superposition,[status(thm)],[c_179040,c_423]) ).
tcf(c_179062,plain,
r2_hidden(sK135(sK138),k1_zfmisc_1(sK138)),
inference(forward_subsumption_resolution,[status(thm)],[c_179061,c_121]) ).
tcf(c_179063,plain,
( v1_finset_1(sK135(sK138))
| ~ v1_finset_1(sK138) ),
inference(superposition,[status(thm)],[c_179059,c_802]) ).
tcf(c_179064,plain,
( v1_relat_1(sK135(sK138))
| ~ v1_relat_1(sK138) ),
inference(superposition,[status(thm)],[c_179059,c_377]) ).
tcf(c_179065,plain,
~ r2_hidden(sK138,sK135(sK138)),
inference(superposition,[status(thm)],[c_179059,c_376]) ).
tcf(c_179066,plain,
v1_relat_1(sK135(sK138)),
inference(forward_subsumption_resolution,[status(thm)],[c_179064,c_781]) ).
tcf(c_179067,plain,
v1_finset_1(sK135(sK138)),
inference(forward_subsumption_resolution,[status(thm)],[c_179063,c_783]) ).
tcf(c_179068,plain,
k5_relat_1(sK135(sK138),np__0) = np__0,
inference(superposition,[status(thm)],[c_179066,c_968]) ).
tcf(c_179069,plain,
k5_relat_1(np__0,sK135(sK138)) = np__0,
inference(superposition,[status(thm)],[c_179066,c_967]) ).
tcf(c_179070,plain,
( sP8(sK135(sK138))
| ~ v1_funct_1(sK135(sK138)) ),
inference(superposition,[status(thm)],[c_179066,c_931]) ).
tcf(c_179073,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_178622,c_78840,c_178622]) ).
tcf(c_179080,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_179073,c_100]) ).
tcf(c_179081,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_179073,c_425]) ).
tcf(c_179082,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_179073,c_423]) ).
tcf(c_179083,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_179073,c_78786]) ).
tcf(c_179086,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179082,c_121]) ).
tcf(c_179099,plain,
! [X0: $i] :
( r2_wellord2(k2_finseq_1(sK137(X0)),sK137(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_774,c_1307]) ).
tcf(c_179100,plain,
! [X0: $i] :
( r2_wellord2(k2_finseq_1(sK257(X0)),sK257(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1305,c_1307]) ).
tcf(c_179101,plain,
! [X0: $i] :
( r2_wellord2(k2_finseq_1(sK385(X0)),sK385(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2394,c_1307]) ).
tcf(c_179119,plain,
! [X0: $i] : v3_relat_2(sK264(X0,sK118(X0,X0))),
inference(superposition,[status(thm)],[c_632,c_1434]) ).
tcf(c_179120,plain,
! [X0: $i] : v3_relat_2(sK264(X0,np__0)),
inference(superposition,[status(thm)],[c_646,c_1434]) ).
tcf(c_179121,plain,
! [X0: $i] :
( v3_relat_2(sK264(k5_numbers,X0))
| ~ m2_finseq_1(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_1434]) ).
tcf(c_179122,plain,
! [X0: $i] : v3_relat_2(sK264(X0,k6_partfun1(X0))),
inference(superposition,[status(thm)],[c_3982,c_1434]) ).
tcf(c_179133,plain,
! [X0: $i] : v8_relat_2(sK264(X0,sK118(X0,X0))),
inference(superposition,[status(thm)],[c_632,c_1435]) ).
tcf(c_179134,plain,
! [X0: $i] : v8_relat_2(sK264(X0,np__0)),
inference(superposition,[status(thm)],[c_646,c_1435]) ).
tcf(c_179135,plain,
! [X0: $i] :
( v8_relat_2(sK264(k5_numbers,X0))
| ~ m2_finseq_1(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_1435]) ).
tcf(c_179136,plain,
! [X0: $i] : v8_relat_2(sK264(X0,k6_partfun1(X0))),
inference(superposition,[status(thm)],[c_3982,c_1435]) ).
tcf(c_179143,plain,
k1_zfmisc_1(sK135(sK138)) = k5_finsub_1(sK135(sK138)),
inference(superposition,[status(thm)],[c_179067,c_768]) ).
tcf(c_179144,plain,
( v4_ordinal2(sK135(sK138))
| ~ v5_membered(k1_zfmisc_1(sK138)) ),
inference(superposition,[status(thm)],[c_179062,c_1270]) ).
tcf(c_179145,plain,
~ r2_hidden(k1_zfmisc_1(sK138),sK135(sK138)),
inference(superposition,[status(thm)],[c_179062,c_431]) ).
tcf(c_179146,plain,
r2_hidden(sK87(k1_zfmisc_1(sK138)),k1_zfmisc_1(sK138)),
inference(superposition,[status(thm)],[c_179062,c_427]) ).
tcf(c_179147,plain,
~ v1_xboole_0(k1_zfmisc_1(sK138)),
inference(superposition,[status(thm)],[c_179062,c_426]) ).
tcf(c_179152,plain,
v3_relat_2(sK264(np__0,np__0)),
inference(superposition,[status(thm)],[c_2838,c_179122]) ).
tcf(c_179153,plain,
v8_relat_2(sK264(np__0,np__0)),
inference(superposition,[status(thm)],[c_2838,c_179136]) ).
tcf(c_179154,plain,
r1_tarski(k1_zfmisc_1(np__0),k1_zfmisc_1(sK143)),
inference(superposition,[status(thm)],[c_177299,c_177394]) ).
tcf(c_179155,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(sK143),k5_finsub_1(X0))
| ~ r1_tarski(sK143,X0) ),
inference(superposition,[status(thm)],[c_177299,c_770]) ).
tcf(c_179156,plain,
( v5_membered(k5_finsub_1(sK143))
| v1_finset_1(sK255(k1_zfmisc_1(sK143))) ),
inference(superposition,[status(thm)],[c_177299,c_165771]) ).
tcf(c_179157,plain,
( v1_relat_1(k5_finsub_1(sK143))
| v1_finset_1(sK201(k1_zfmisc_1(sK143))) ),
inference(superposition,[status(thm)],[c_177299,c_165648]) ).
tcf(c_179158,plain,
~ r2_hidden(k1_zfmisc_1(sK143),k1_zfmisc_1(sK143)),
inference(superposition,[status(thm)],[c_177299,c_168777]) ).
tcf(c_179159,plain,
v1_finset_1(sK43(k1_zfmisc_1(sK143))),
inference(superposition,[status(thm)],[c_177299,c_165482]) ).
tcf(c_179160,plain,
( v1_xboole_0(sK143)
| m1_subset_1(sK135(sK143),k1_zfmisc_1(sK143)) ),
inference(superposition,[status(thm)],[c_177299,c_758]) ).
tcf(c_179161,plain,
m1_subset_1(np__0,k1_zfmisc_1(sK143)),
inference(superposition,[status(thm)],[c_177299,c_165175]) ).
tcf(c_179162,plain,
r1_tarski(k1_zfmisc_1(sK143),k1_zfmisc_1(sK143)),
inference(superposition,[status(thm)],[c_177299,c_769]) ).
tcf(c_179163,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(X0),k1_zfmisc_1(sK143))
| ~ r1_tarski(X0,sK143) ),
inference(superposition,[status(thm)],[c_177299,c_770]) ).
tcf(c_179164,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK143)) ),
inference(superposition,[status(thm)],[c_177299,c_771]) ).
tcf(c_179167,plain,
m1_subset_1(sK135(sK143),k1_zfmisc_1(sK143)),
inference(forward_subsumption_resolution,[status(thm)],[c_179160,c_817]) ).
tcf(c_179168,plain,
( v1_relat_1(k1_zfmisc_1(sK143))
| v1_finset_1(sK201(k1_zfmisc_1(sK143))) ),
inference(light_normalisation,[status(thm)],[c_179157,c_177299]) ).
tcf(c_179171,plain,
( v5_membered(k1_zfmisc_1(sK143))
| v1_finset_1(sK255(k1_zfmisc_1(sK143))) ),
inference(light_normalisation,[status(thm)],[c_179156,c_177299]) ).
tcf(c_179180,plain,
k1_zfmisc_1(sK43(k1_zfmisc_1(sK143))) = k5_finsub_1(sK43(k1_zfmisc_1(sK143))),
inference(superposition,[status(thm)],[c_179159,c_768]) ).
tcf(c_179182,plain,
( v1_relat_1(k1_zfmisc_1(np__0))
| ~ v1_relat_1(k1_zfmisc_1(sK143)) ),
inference(superposition,[status(thm)],[c_179154,c_377]) ).
tcf(c_179183,plain,
~ r2_hidden(k1_zfmisc_1(sK143),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_179154,c_376]) ).
tcf(c_179186,plain,
r1_tarski(sK135(sK143),sK143),
inference(superposition,[status(thm)],[c_179167,c_100]) ).
tcf(c_179187,plain,
( v1_xboole_0(sK135(sK143))
| ~ v1_xboole_0(k1_zfmisc_1(sK143)) ),
inference(superposition,[status(thm)],[c_179167,c_425]) ).
tcf(c_179188,plain,
( v1_xboole_0(k1_zfmisc_1(sK143))
| r2_hidden(sK135(sK143),k1_zfmisc_1(sK143)) ),
inference(superposition,[status(thm)],[c_179167,c_423]) ).
tcf(c_179189,plain,
r2_hidden(sK135(sK143),k1_zfmisc_1(sK143)),
inference(forward_subsumption_resolution,[status(thm)],[c_179188,c_121]) ).
tcf(c_179190,plain,
( v1_finset_1(sK135(sK143))
| ~ v1_finset_1(sK143) ),
inference(superposition,[status(thm)],[c_179186,c_802]) ).
tcf(c_179191,plain,
( v1_relat_1(sK135(sK143))
| ~ v1_relat_1(sK143) ),
inference(superposition,[status(thm)],[c_179186,c_377]) ).
tcf(c_179192,plain,
~ r2_hidden(sK143,sK135(sK143)),
inference(superposition,[status(thm)],[c_179186,c_376]) ).
tcf(c_179195,plain,
v1_finset_1(sK135(sK143)),
inference(forward_subsumption_resolution,[status(thm)],[c_179190,c_818]) ).
tcf(c_179196,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_179083,c_78840,c_179083]) ).
tcf(c_179203,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_179196,c_100]) ).
tcf(c_179204,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_179196,c_425]) ).
tcf(c_179205,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_179196,c_423]) ).
tcf(c_179206,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_179196,c_78786]) ).
tcf(c_179209,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179205,c_121]) ).
tcf(c_179232,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK276(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_1614,c_1621]) ).
tcf(c_179233,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK277(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_1618,c_1621]) ).
tcf(c_179234,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK278(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_1623,c_1621]) ).
tcf(c_179235,plain,
! [X0: $i] : m2_relset_1(sK358(X0),k5_numbers,X0),
inference(superposition,[status(thm)],[c_2085,c_1621]) ).
tcf(c_179244,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK118(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_632,c_1622]) ).
tcf(c_179245,plain,
! [X0: $i,X1: $i] : m1_relset_1(np__0,X0,X1),
inference(superposition,[status(thm)],[c_646,c_1622]) ).
tcf(c_179246,plain,
! [X0: $i,X1: $i] :
( m1_relset_1(X0,k5_numbers,X1)
| ~ m2_finseq_1(X0,X1) ),
inference(superposition,[status(thm)],[c_2067,c_1622]) ).
tcf(c_179247,plain,
! [X0: $i] : m1_relset_1(k6_partfun1(X0),X0,X0),
inference(superposition,[status(thm)],[c_3982,c_1622]) ).
tcf(c_179254,plain,
k1_zfmisc_1(sK135(sK143)) = k5_finsub_1(sK135(sK143)),
inference(superposition,[status(thm)],[c_179195,c_768]) ).
tcf(c_179256,plain,
( v4_ordinal2(sK135(sK143))
| ~ v5_membered(k1_zfmisc_1(sK143)) ),
inference(superposition,[status(thm)],[c_179189,c_1270]) ).
tcf(c_179257,plain,
~ r2_hidden(k1_zfmisc_1(sK143),sK135(sK143)),
inference(superposition,[status(thm)],[c_179189,c_431]) ).
tcf(c_179258,plain,
r2_hidden(sK87(k1_zfmisc_1(sK143)),k1_zfmisc_1(sK143)),
inference(superposition,[status(thm)],[c_179189,c_427]) ).
tcf(c_179259,plain,
~ v1_xboole_0(k1_zfmisc_1(sK143)),
inference(superposition,[status(thm)],[c_179189,c_426]) ).
tcf(c_179265,plain,
v8_relat_2(sK264(k5_numbers,sK358(k5_numbers))),
inference(superposition,[status(thm)],[c_179235,c_1435]) ).
tcf(c_179266,plain,
v3_relat_2(sK264(k5_numbers,sK358(k5_numbers))),
inference(superposition,[status(thm)],[c_179235,c_1434]) ).
tcf(c_179267,plain,
m1_relset_1(np__0,np__0,np__0),
inference(superposition,[status(thm)],[c_2838,c_179247]) ).
tcf(c_179269,plain,
r1_tarski(k1_zfmisc_1(np__0),k1_zfmisc_1(sK357)),
inference(superposition,[status(thm)],[c_177300,c_177394]) ).
tcf(c_179270,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(sK357),k5_finsub_1(X0))
| ~ r1_tarski(sK357,X0) ),
inference(superposition,[status(thm)],[c_177300,c_770]) ).
tcf(c_179271,plain,
( v5_membered(k5_finsub_1(sK357))
| v1_finset_1(sK255(k1_zfmisc_1(sK357))) ),
inference(superposition,[status(thm)],[c_177300,c_165771]) ).
tcf(c_179272,plain,
( v1_relat_1(k5_finsub_1(sK357))
| v1_finset_1(sK201(k1_zfmisc_1(sK357))) ),
inference(superposition,[status(thm)],[c_177300,c_165648]) ).
tcf(c_179273,plain,
~ r2_hidden(k1_zfmisc_1(sK357),k1_zfmisc_1(sK357)),
inference(superposition,[status(thm)],[c_177300,c_168777]) ).
tcf(c_179274,plain,
v1_finset_1(sK43(k1_zfmisc_1(sK357))),
inference(superposition,[status(thm)],[c_177300,c_165482]) ).
tcf(c_179275,plain,
( v1_xboole_0(sK357)
| m1_subset_1(sK135(sK357),k1_zfmisc_1(sK357)) ),
inference(superposition,[status(thm)],[c_177300,c_758]) ).
tcf(c_179276,plain,
m1_subset_1(np__0,k1_zfmisc_1(sK357)),
inference(superposition,[status(thm)],[c_177300,c_165175]) ).
tcf(c_179277,plain,
r1_tarski(k1_zfmisc_1(sK357),k1_zfmisc_1(sK357)),
inference(superposition,[status(thm)],[c_177300,c_769]) ).
tcf(c_179278,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(X0),k1_zfmisc_1(sK357))
| ~ r1_tarski(X0,sK357) ),
inference(superposition,[status(thm)],[c_177300,c_770]) ).
tcf(c_179279,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK357)) ),
inference(superposition,[status(thm)],[c_177300,c_771]) ).
tcf(c_179282,plain,
m1_subset_1(sK135(sK357),k1_zfmisc_1(sK357)),
inference(forward_subsumption_resolution,[status(thm)],[c_179275,c_2080]) ).
tcf(c_179283,plain,
( v1_relat_1(k1_zfmisc_1(sK357))
| v1_finset_1(sK201(k1_zfmisc_1(sK357))) ),
inference(light_normalisation,[status(thm)],[c_179272,c_177300]) ).
tcf(c_179286,plain,
( v5_membered(k1_zfmisc_1(sK357))
| v1_finset_1(sK255(k1_zfmisc_1(sK357))) ),
inference(light_normalisation,[status(thm)],[c_179271,c_177300]) ).
tcf(c_179295,plain,
k1_zfmisc_1(sK43(k1_zfmisc_1(sK357))) = k5_finsub_1(sK43(k1_zfmisc_1(sK357))),
inference(superposition,[status(thm)],[c_179274,c_768]) ).
tcf(c_179297,plain,
( v1_relat_1(k1_zfmisc_1(np__0))
| ~ v1_relat_1(k1_zfmisc_1(sK357)) ),
inference(superposition,[status(thm)],[c_179269,c_377]) ).
tcf(c_179298,plain,
~ r2_hidden(k1_zfmisc_1(sK357),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_179269,c_376]) ).
tcf(c_179301,plain,
r1_tarski(sK135(sK357),sK357),
inference(superposition,[status(thm)],[c_179282,c_100]) ).
tcf(c_179302,plain,
( v1_xboole_0(sK135(sK357))
| ~ v1_xboole_0(k1_zfmisc_1(sK357)) ),
inference(superposition,[status(thm)],[c_179282,c_425]) ).
tcf(c_179303,plain,
( v1_xboole_0(k1_zfmisc_1(sK357))
| r2_hidden(sK135(sK357),k1_zfmisc_1(sK357)) ),
inference(superposition,[status(thm)],[c_179282,c_423]) ).
tcf(c_179304,plain,
r2_hidden(sK135(sK357),k1_zfmisc_1(sK357)),
inference(forward_subsumption_resolution,[status(thm)],[c_179303,c_121]) ).
tcf(c_179305,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_179206,c_78840,c_179206]) ).
tcf(c_179312,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_179305,c_100]) ).
tcf(c_179313,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_179305,c_425]) ).
tcf(c_179314,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_179305,c_423]) ).
tcf(c_179315,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_179305,c_78786]) ).
tcf(c_179318,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179314,c_121]) ).
tcf(c_179333,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK312(X0))
| ~ v5_membered(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1715,c_1270]) ).
tcf(c_179334,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_membered(X0)
| ~ r2_hidden(X0,sK312(X0)) ),
inference(superposition,[status(thm)],[c_1715,c_431]) ).
tcf(c_179337,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK312(X0),X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1715,c_421]) ).
tcf(c_179338,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK312(k1_zfmisc_1(X0)),X0)
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1715,c_126]) ).
tcf(c_179340,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r2_hidden(sK312(k4_xboole_0(X0,X1)),X0)
| ~ v1_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1715,c_1158]) ).
tcf(c_179341,plain,
( v1_xboole_0(k1_numbers)
| v1_xreal_0(sK312(k1_numbers))
| ~ v1_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_1715,c_2361]) ).
tcf(c_179342,plain,
( v1_xboole_0(k4_numbers)
| v1_int_1(sK312(k4_numbers))
| ~ v1_membered(k4_numbers) ),
inference(superposition,[status(thm)],[c_1715,c_3085]) ).
tcf(c_179343,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_funct_2(X0,X1))
| v1_funct_1(sK312(k1_funct_2(X0,X1)))
| ~ v1_membered(k1_funct_2(X0,X1)) ),
inference(superposition,[status(thm)],[c_1715,c_3470]) ).
tcf(c_179344,plain,
v1_int_1(sK312(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_179342,c_3094,c_2194]) ).
tcf(c_179345,plain,
v1_xreal_0(sK312(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_179341,c_2048,c_1769]) ).
tcf(c_179356,plain,
! [X0: $i] :
( r1_tarski(sK312(k1_zfmisc_1(X0)),X0)
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179338,c_121]) ).
tcf(c_179374,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_125,c_1718]) ).
tcf(c_179375,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_xcmplx_0(sK85(X0,X1))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_398,c_1718]) ).
tcf(c_179377,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ v1_membered(k2_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(superposition,[status(thm)],[c_489,c_1718]) ).
tcf(c_179378,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xcmplx_0(X2)
| ~ r2_hidden(X2,X0)
| ~ v1_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_550,c_1718]) ).
tcf(c_179379,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xcmplx_0(X2)
| ~ r2_hidden(X2,X1)
| ~ v1_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_551,c_1718]) ).
tcf(c_179380,plain,
! [X0: $i] :
( v1_xcmplx_0(sK122(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_654,c_1718]) ).
tcf(c_179381,plain,
! [X0: $i] :
( v1_xcmplx_0(sK124(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_660,c_1718]) ).
tcf(c_179382,plain,
! [X0: $i] :
( v1_xcmplx_0(sK125(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_662,c_1718]) ).
tcf(c_179383,plain,
! [X0: $i] :
( v1_xcmplx_0(sK126(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_664,c_1718]) ).
tcf(c_179384,plain,
! [X0: $i] :
( v1_xcmplx_0(sK127(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_666,c_1718]) ).
tcf(c_179385,plain,
! [X0: $i] :
( v1_xcmplx_0(sK128(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_668,c_1718]) ).
tcf(c_179386,plain,
! [X0: $i] :
( v1_xcmplx_0(sK129(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_670,c_1718]) ).
tcf(c_179387,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v1_xcmplx_0(sK131(X0,X1))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_732,c_1718]) ).
tcf(c_179388,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| v1_xcmplx_0(sK131(X1,X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_733,c_1718]) ).
tcf(c_179389,plain,
! [X0: $i] :
( v1_xcmplx_0(sK182(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1014,c_1718]) ).
tcf(c_179390,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| v1_xcmplx_0(sK188(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1026,c_1718]) ).
tcf(c_179391,plain,
! [X0: $i] :
( sP9(X0)
| v1_relat_1(X0)
| v1_xcmplx_0(sK188(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1024,c_1718]) ).
tcf(c_179392,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xcmplx_0(sK201(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1045,c_1718]) ).
tcf(c_179393,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| v1_xcmplx_0(sK231(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1162,c_1718]) ).
tcf(c_179394,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| v1_xcmplx_0(sK232(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1164,c_1718]) ).
tcf(c_179395,plain,
! [X0: $i] :
( v2_membered(k3_tarski(X0))
| v1_xcmplx_0(sK233(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1166,c_1718]) ).
tcf(c_179396,plain,
! [X0: $i] :
( v1_xcmplx_0(sK234(X0))
| v1_membered(k3_tarski(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1168,c_1718]) ).
tcf(c_179397,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| v1_xcmplx_0(sK236(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1175,c_1718]) ).
tcf(c_179398,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(sK240(X0,X1))
| r1_xboole_0(k3_tarski(X0),X1)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1187,c_1718]) ).
tcf(c_179399,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(sK241(X0,X1))
| r1_tarski(k3_tarski(X0),X1)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1192,c_1718]) ).
tcf(c_179400,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK254(X0))
| ~ v5_membered(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1267,c_1718]) ).
tcf(c_179401,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xcmplx_0(sK255(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1269,c_1718]) ).
tcf(c_179404,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2045,c_1718]) ).
tcf(c_179405,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2046,c_1718]) ).
tcf(c_179406,plain,
! [X0: $i] :
( v1_xcmplx_0(k1_card_1(X0))
| ~ v1_membered(k1_card_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_2056,c_1718]) ).
tcf(c_179407,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xcmplx_0(sK365(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2114,c_1718]) ).
tcf(c_179408,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_xcmplx_0(sK372(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2248,c_1718]) ).
tcf(c_179409,plain,
! [X0: $i] :
( v3_ordinal1(sK374(X0))
| v1_xcmplx_0(sK374(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2253,c_1718]) ).
tcf(c_179410,plain,
! [X0: $i] :
( v3_ordinal1(sK376(X0))
| v1_xcmplx_0(sK375(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2257,c_1718]) ).
tcf(c_179411,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xcmplx_0(sK377(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2259,c_1718]) ).
tcf(c_179412,plain,
! [X0: $i] :
( v5_membered(k3_tarski(X0))
| v1_xcmplx_0(sK381(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2332,c_1718]) ).
tcf(c_179413,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_2362,c_1718]) ).
tcf(c_179414,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK484(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3010,c_1718]) ).
tcf(c_179415,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK485(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3011,c_1718]) ).
tcf(c_179417,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k4_numbers)
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_3086,c_1718]) ).
tcf(c_179418,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v3_ordinal1(X0)
| ~ v1_membered(sK503(X0)) ),
inference(superposition,[status(thm)],[c_3180,c_1718]) ).
tcf(c_179419,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| v1_xcmplx_0(sK535(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3401,c_1718]) ).
tcf(c_179425,plain,
( v1_xcmplx_0(np__1)
| ~ v1_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_168404,c_1718]) ).
tcf(c_179426,plain,
! [X0: $i] :
( v1_xcmplx_0(np__1)
| ~ v1_membered(k2_xboole_0(X0,k2_finseq_1(np__1))) ),
inference(superposition,[status(thm)],[c_168396,c_1718]) ).
tcf(c_179427,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK87(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_168917,c_1718]) ).
tcf(c_179428,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xcmplx_0(sK87(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_168914,c_1718]) ).
tcf(c_179429,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_xcmplx_0(sK87(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_168911,c_1718]) ).
tcf(c_179430,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xcmplx_0(sK87(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_168910,c_1718]) ).
tcf(c_179432,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xcmplx_0(sK87(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_168905,c_1718]) ).
tcf(c_179433,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xcmplx_0(sK87(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_168899,c_1718]) ).
tcf(c_179435,plain,
( v1_xcmplx_0(sK87(k2_finseq_1(np__1)))
| ~ v1_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_168925,c_1718]) ).
tcf(c_179437,plain,
! [X0: $i] :
( v1_xcmplx_0(np__1)
| ~ v1_membered(k2_xboole_0(k2_finseq_1(np__1),X0)) ),
inference(superposition,[status(thm)],[c_169444,c_1718]) ).
tcf(c_179438,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK43(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_175554,c_1718]) ).
tcf(c_179440,plain,
( v1_xcmplx_0(k5_numbers)
| ~ v1_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_175691,c_1718]) ).
tcf(c_179442,plain,
( v1_xcmplx_0(u1_struct_0(sK42))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK42))) ),
inference(superposition,[status(thm)],[c_175756,c_1718]) ).
tcf(c_179443,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(X0)))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_176198,c_1718]) ).
tcf(c_179444,plain,
( v1_xcmplx_0(u1_struct_0(sK70))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK70))) ),
inference(superposition,[status(thm)],[c_177076,c_1718]) ).
tcf(c_179445,plain,
( v1_xcmplx_0(u1_struct_0(sK72))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK72))) ),
inference(superposition,[status(thm)],[c_177218,c_1718]) ).
tcf(c_179446,plain,
( v1_xcmplx_0(u1_struct_0(sK609))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK609))) ),
inference(superposition,[status(thm)],[c_177222,c_1718]) ).
tcf(c_179447,plain,
( v1_xcmplx_0(u1_struct_0(sK414))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK414))) ),
inference(superposition,[status(thm)],[c_177231,c_1718]) ).
tcf(c_179448,plain,
( v1_xcmplx_0(u1_struct_0(sK494))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK494))) ),
inference(superposition,[status(thm)],[c_177240,c_1718]) ).
tcf(c_179449,plain,
( v1_xcmplx_0(u1_struct_0(sK571))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK571))) ),
inference(superposition,[status(thm)],[c_177249,c_1718]) ).
tcf(c_179450,plain,
( v1_xcmplx_0(u1_struct_0(sK133))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK133))) ),
inference(superposition,[status(thm)],[c_177253,c_1718]) ).
tcf(c_179451,plain,
( v1_xcmplx_0(u1_struct_0(sK575))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK575))) ),
inference(superposition,[status(thm)],[c_177262,c_1718]) ).
tcf(c_179452,plain,
( v1_xcmplx_0(sK135(sK138))
| ~ v1_membered(k1_zfmisc_1(sK138)) ),
inference(superposition,[status(thm)],[c_179062,c_1718]) ).
tcf(c_179453,plain,
( v1_xcmplx_0(sK135(sK143))
| ~ v1_membered(k1_zfmisc_1(sK143)) ),
inference(superposition,[status(thm)],[c_179189,c_1718]) ).
tcf(c_179658,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_58,c_1721]) ).
tcf(c_179659,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_67,c_1721]) ).
tcf(c_179660,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_1721]) ).
tcf(c_179661,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_1204,c_1721]) ).
tcf(c_179663,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK54(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_119,c_1721]) ).
tcf(c_179664,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_424,c_1721]) ).
tcf(c_179667,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK135(X0))
| ~ v2_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_758,c_1721]) ).
tcf(c_179668,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK141(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_803,c_1721]) ).
tcf(c_179669,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK142(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_811,c_1721]) ).
tcf(c_179670,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_1231,c_1721]) ).
tcf(c_179673,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(k4_numbers)
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_165041,c_1721]) ).
tcf(c_179674,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xcmplx_0(sK497(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3103,c_1721]) ).
tcf(c_179675,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xcmplx_0(sK496(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3104,c_1721]) ).
tcf(c_179676,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xcmplx_0(sK499(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3106,c_1721]) ).
tcf(c_179677,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xcmplx_0(sK498(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3107,c_1721]) ).
tcf(c_179678,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xcmplx_0(sK501(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3109,c_1721]) ).
tcf(c_179679,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xcmplx_0(sK500(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3110,c_1721]) ).
tcf(c_179689,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK562)
| v1_xcmplx_0(k3_rlvect_1(sK562,X0,X1))
| ~ v2_membered(u1_struct_0(sK562))
| ~ m1_subset_1(X1,k1_numbers)
| ~ m1_subset_1(X0,u1_struct_0(sK562)) ),
inference(superposition,[status(thm)],[c_77992,c_1721]) ).
tcf(c_179690,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k3_rlvect_1(sK563,X0,X1))
| ~ v2_membered(u1_struct_0(sK563))
| ~ m1_subset_1(X1,k1_numbers)
| ~ m1_subset_1(X0,u1_struct_0(sK563)) ),
inference(superposition,[status(thm)],[c_78010,c_1721]) ).
tcf(c_179691,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(X0)))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163360,c_1721]) ).
tcf(c_179692,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163412,c_1721]) ).
tcf(c_179693,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163505,c_1721]) ).
tcf(c_179694,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163626,c_1721]) ).
tcf(c_179695,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163738,c_1721]) ).
tcf(c_179696,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163821,c_1721]) ).
tcf(c_179697,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163861,c_1721]) ).
tcf(c_179698,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163968,c_1721]) ).
tcf(c_179699,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164238,c_1721]) ).
tcf(c_179700,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164362,c_1721]) ).
tcf(c_179701,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164538,c_1721]) ).
tcf(c_179702,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164736,c_1721]) ).
tcf(c_179703,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164899,c_1721]) ).
tcf(c_179704,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165240,c_1721]) ).
tcf(c_179705,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xcmplx_0(sK201(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165029,c_1721]) ).
tcf(c_179706,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xcmplx_0(sK255(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165030,c_1721]) ).
tcf(c_179707,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xcmplx_0(sK313(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165031,c_1721]) ).
tcf(c_179708,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_165032,c_1721]) ).
tcf(c_179709,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_165033,c_1721]) ).
tcf(c_179710,plain,
! [X0: $i] :
( v1_xcmplx_0(k1_card_1(X0))
| ~ v2_membered(k1_card_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_165034,c_1721]) ).
tcf(c_179711,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xcmplx_0(sK365(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165035,c_1721]) ).
tcf(c_179713,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xcmplx_0(sK377(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165037,c_1721]) ).
tcf(c_179714,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_165038,c_1721]) ).
tcf(c_179715,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK484(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165039,c_1721]) ).
tcf(c_179716,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK485(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165040,c_1721]) ).
tcf(c_179719,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ v2_membered(k2_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(superposition,[status(thm)],[c_165236,c_1721]) ).
tcf(c_179720,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165461,c_1721]) ).
tcf(c_179721,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165557,c_1721]) ).
tcf(c_179722,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165693,c_1721]) ).
tcf(c_179723,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165825,c_1721]) ).
tcf(c_179724,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| v1_xcmplx_0(sK231(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165722,c_1721]) ).
tcf(c_179725,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165992,c_1721]) ).
tcf(c_179726,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| v1_xcmplx_0(sK232(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165842,c_1721]) ).
tcf(c_179727,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166145,c_1721]) ).
tcf(c_179728,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166278,c_1721]) ).
tcf(c_179729,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166370,c_1721]) ).
tcf(c_179731,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166498,c_1721]) ).
tcf(c_179732,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166601,c_1721]) ).
tcf(c_179733,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166724,c_1721]) ).
tcf(c_179734,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166835,c_1721]) ).
tcf(c_179735,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166956,c_1721]) ).
tcf(c_179736,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167147,c_1721]) ).
tcf(c_179737,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167358,c_1721]) ).
tcf(c_179738,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167532,c_1721]) ).
tcf(c_179739,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167679,c_1721]) ).
tcf(c_179740,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167768,c_1721]) ).
tcf(c_179741,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167895,c_1721]) ).
tcf(c_179742,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168010,c_1721]) ).
tcf(c_179743,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168135,c_1721]) ).
tcf(c_179744,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168221,c_1721]) ).
tcf(c_179745,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168357,c_1721]) ).
tcf(c_179746,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168690,c_1721]) ).
tcf(c_179747,plain,
( v1_xcmplx_0(np__1)
| ~ v2_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_168403,c_1721]) ).
tcf(c_179748,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168853,c_1721]) ).
tcf(c_179749,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169110,c_1721]) ).
tcf(c_179750,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169296,c_1721]) ).
tcf(c_179752,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169476,c_1721]) ).
tcf(c_179753,plain,
! [X0: $i] :
( v1_xcmplx_0(np__1)
| ~ v2_membered(k2_xboole_0(X0,k2_finseq_1(np__1))) ),
inference(superposition,[status(thm)],[c_169448,c_1721]) ).
tcf(c_179754,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169586,c_1721]) ).
tcf(c_179755,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169716,c_1721]) ).
tcf(c_179756,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169815,c_1721]) ).
tcf(c_179757,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170013,c_1721]) ).
tcf(c_179758,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170193,c_1721]) ).
tcf(c_179759,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170323,c_1721]) ).
tcf(c_179760,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170442,c_1721]) ).
tcf(c_179761,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170523,c_1721]) ).
tcf(c_179762,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170638,c_1721]) ).
tcf(c_179763,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK87(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170964,c_1721]) ).
tcf(c_179764,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xcmplx_0(sK87(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170911,c_1721]) ).
tcf(c_179766,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xcmplx_0(sK87(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170761,c_1721]) ).
tcf(c_179767,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xcmplx_0(sK87(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170743,c_1721]) ).
tcf(c_179768,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xcmplx_0(sK87(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170690,c_1721]) ).
tcf(c_179769,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xcmplx_0(sK87(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170605,c_1721]) ).
tcf(c_179770,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170782,c_1721]) ).
tcf(c_179771,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171000,c_1721]) ).
tcf(c_179772,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171124,c_1721]) ).
tcf(c_179773,plain,
( v1_xcmplx_0(sK87(k2_finseq_1(np__1)))
| ~ v2_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_171091,c_1721]) ).
tcf(c_179774,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171262,c_1721]) ).
tcf(c_179775,plain,
! [X0: $i] :
( v1_xcmplx_0(np__1)
| ~ v2_membered(k2_xboole_0(k2_finseq_1(np__1),X0)) ),
inference(superposition,[status(thm)],[c_171231,c_1721]) ).
tcf(c_179776,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171454,c_1721]) ).
tcf(c_179777,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171599,c_1721]) ).
tcf(c_179778,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171853,c_1721]) ).
tcf(c_179779,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_172430,c_1721]) ).
tcf(c_179780,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_172882,c_1721]) ).
tcf(c_179781,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_173096,c_1721]) ).
tcf(c_179782,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_173169,c_1721]) ).
tcf(c_179783,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_173416,c_1721]) ).
tcf(c_179784,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_173852,c_1721]) ).
tcf(c_179785,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174140,c_1721]) ).
tcf(c_179786,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174278,c_1721]) ).
tcf(c_179787,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174408,c_1721]) ).
tcf(c_179788,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174514,c_1721]) ).
tcf(c_179789,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174744,c_1721]) ).
tcf(c_179790,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174928,c_1721]) ).
tcf(c_179791,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_175162,c_1721]) ).
tcf(c_179792,plain,
( v1_xcmplx_0(u1_struct_0(sK42))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK42))) ),
inference(superposition,[status(thm)],[c_175142,c_1721]) ).
tcf(c_179793,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_175316,c_1721]) ).
tcf(c_179794,plain,
( v1_xcmplx_0(u1_struct_0(sK70))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK70))) ),
inference(superposition,[status(thm)],[c_175273,c_1721]) ).
tcf(c_179795,plain,
( v1_xcmplx_0(u1_struct_0(sK72))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK72))) ),
inference(superposition,[status(thm)],[c_175279,c_1721]) ).
tcf(c_179796,plain,
( v1_xcmplx_0(u1_struct_0(sK609))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK609))) ),
inference(superposition,[status(thm)],[c_175284,c_1721]) ).
tcf(c_179797,plain,
( v1_xcmplx_0(u1_struct_0(sK414))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK414))) ),
inference(superposition,[status(thm)],[c_175290,c_1721]) ).
tcf(c_179798,plain,
( v1_xcmplx_0(u1_struct_0(sK494))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK494))) ),
inference(superposition,[status(thm)],[c_175296,c_1721]) ).
tcf(c_179799,plain,
( v1_xcmplx_0(u1_struct_0(sK571))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK571))) ),
inference(superposition,[status(thm)],[c_175302,c_1721]) ).
tcf(c_179800,plain,
( v1_xcmplx_0(u1_struct_0(sK133))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK133))) ),
inference(superposition,[status(thm)],[c_175307,c_1721]) ).
tcf(c_179801,plain,
( v1_xcmplx_0(u1_struct_0(sK575))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK575))) ),
inference(superposition,[status(thm)],[c_175313,c_1721]) ).
tcf(c_179802,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_176226,c_1721]) ).
tcf(c_179803,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_176574,c_1721]) ).
tcf(c_179805,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_176848,c_1721]) ).
tcf(c_179806,plain,
( v1_xcmplx_0(u1_struct_0(sK576))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK576))) ),
inference(superposition,[status(thm)],[c_176824,c_1721]) ).
tcf(c_179807,plain,
( v1_xcmplx_0(u1_struct_0(sK44))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK44))) ),
inference(superposition,[status(thm)],[c_176829,c_1721]) ).
tcf(c_179808,plain,
( v1_xcmplx_0(u1_struct_0(sK115))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK115))) ),
inference(superposition,[status(thm)],[c_176835,c_1721]) ).
tcf(c_179809,plain,
( v1_xcmplx_0(u1_struct_0(sK265))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK265))) ),
inference(superposition,[status(thm)],[c_176841,c_1721]) ).
tcf(c_179810,plain,
( v1_xcmplx_0(u1_struct_0(sK266))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK266))) ),
inference(superposition,[status(thm)],[c_176846,c_1721]) ).
tcf(c_179811,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_177077,c_1721]) ).
tcf(c_179812,plain,
( v1_xcmplx_0(u1_struct_0(sK267))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK267))) ),
inference(superposition,[status(thm)],[c_177042,c_1721]) ).
tcf(c_179813,plain,
( v1_xcmplx_0(u1_struct_0(sK268))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK268))) ),
inference(superposition,[status(thm)],[c_177047,c_1721]) ).
tcf(c_179814,plain,
( v1_xcmplx_0(u1_struct_0(sK421))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK421))) ),
inference(superposition,[status(thm)],[c_177052,c_1721]) ).
tcf(c_179815,plain,
( v1_xcmplx_0(u1_struct_0(sK422))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK422))) ),
inference(superposition,[status(thm)],[c_177057,c_1721]) ).
tcf(c_179816,plain,
( v1_xcmplx_0(u1_struct_0(sK269))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK269))) ),
inference(superposition,[status(thm)],[c_177062,c_1721]) ).
tcf(c_179817,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_177263,c_1721]) ).
tcf(c_179818,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_177631,c_1721]) ).
tcf(c_179819,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_177919,c_1721]) ).
tcf(c_179820,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_178257,c_1721]) ).
tcf(c_179821,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_178612,c_1721]) ).
tcf(c_179822,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_179073,c_1721]) ).
tcf(c_179823,plain,
( v1_xcmplx_0(sK135(sK138))
| ~ v2_membered(k1_zfmisc_1(sK138)) ),
inference(superposition,[status(thm)],[c_179040,c_1721]) ).
tcf(c_179824,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_179196,c_1721]) ).
tcf(c_179825,plain,
( v1_xcmplx_0(sK135(sK143))
| ~ v2_membered(k1_zfmisc_1(sK143)) ),
inference(superposition,[status(thm)],[c_179167,c_1721]) ).
tcf(c_179826,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_179305,c_1721]) ).
tcf(c_179827,plain,
( v1_xcmplx_0(sK135(sK357))
| ~ v2_membered(k1_zfmisc_1(sK357)) ),
inference(superposition,[status(thm)],[c_179282,c_1721]) ).
tcf(c_180437,plain,
! [X0: $i] :
( v1_xreal_0(sK43(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_58,c_1722]) ).
tcf(c_180438,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_67,c_1722]) ).
tcf(c_180439,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_1722]) ).
tcf(c_180440,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_1204,c_1722]) ).
tcf(c_180442,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK54(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_119,c_1722]) ).
tcf(c_180443,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_424,c_1722]) ).
tcf(c_180446,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK135(X0))
| ~ v2_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_758,c_1722]) ).
tcf(c_180447,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK141(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_803,c_1722]) ).
tcf(c_180448,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK142(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_811,c_1722]) ).
tcf(c_180449,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_1231,c_1722]) ).
tcf(c_180452,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(k4_numbers)
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_165041,c_1722]) ).
tcf(c_180453,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xreal_0(sK497(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3103,c_1722]) ).
tcf(c_180454,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xreal_0(sK496(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3104,c_1722]) ).
tcf(c_180455,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xreal_0(sK499(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3106,c_1722]) ).
tcf(c_180456,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xreal_0(sK498(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3107,c_1722]) ).
tcf(c_180457,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xreal_0(sK501(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3109,c_1722]) ).
tcf(c_180458,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xreal_0(sK500(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3110,c_1722]) ).
tcf(c_180468,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK562)
| v1_xreal_0(k3_rlvect_1(sK562,X0,X1))
| ~ v2_membered(u1_struct_0(sK562))
| ~ m1_subset_1(X1,k1_numbers)
| ~ m1_subset_1(X0,u1_struct_0(sK562)) ),
inference(superposition,[status(thm)],[c_77992,c_1722]) ).
tcf(c_180469,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(k3_rlvect_1(sK563,X0,X1))
| ~ v2_membered(u1_struct_0(sK563))
| ~ m1_subset_1(X1,k1_numbers)
| ~ m1_subset_1(X0,u1_struct_0(sK563)) ),
inference(superposition,[status(thm)],[c_78010,c_1722]) ).
tcf(c_180470,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(X0)))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163360,c_1722]) ).
tcf(c_180471,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163412,c_1722]) ).
tcf(c_180472,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163505,c_1722]) ).
tcf(c_180473,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163626,c_1722]) ).
tcf(c_180474,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163738,c_1722]) ).
tcf(c_180475,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163821,c_1722]) ).
tcf(c_180476,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163861,c_1722]) ).
tcf(c_180477,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163968,c_1722]) ).
tcf(c_180478,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164238,c_1722]) ).
tcf(c_180479,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164362,c_1722]) ).
tcf(c_180480,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164538,c_1722]) ).
tcf(c_180481,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164736,c_1722]) ).
tcf(c_180482,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164899,c_1722]) ).
tcf(c_180483,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165240,c_1722]) ).
tcf(c_180484,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xreal_0(sK201(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165029,c_1722]) ).
tcf(c_180485,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xreal_0(sK255(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165030,c_1722]) ).
tcf(c_180486,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xreal_0(sK313(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165031,c_1722]) ).
tcf(c_180487,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_165032,c_1722]) ).
tcf(c_180488,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X1)
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_165033,c_1722]) ).
tcf(c_180489,plain,
! [X0: $i] :
( v1_xreal_0(k1_card_1(X0))
| ~ v2_membered(k1_card_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_165034,c_1722]) ).
tcf(c_180490,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xreal_0(sK365(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165035,c_1722]) ).
tcf(c_180492,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xreal_0(sK377(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165037,c_1722]) ).
tcf(c_180494,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xreal_0(sK484(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165039,c_1722]) ).
tcf(c_180495,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xreal_0(sK485(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165040,c_1722]) ).
tcf(c_180498,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X1)
| ~ v2_membered(k2_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(superposition,[status(thm)],[c_165236,c_1722]) ).
tcf(c_180499,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165461,c_1722]) ).
tcf(c_180500,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165557,c_1722]) ).
tcf(c_180501,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165693,c_1722]) ).
tcf(c_180502,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165825,c_1722]) ).
tcf(c_180503,plain,
! [X0: $i] :
( v1_xreal_0(sK231(X0))
| v4_membered(k3_tarski(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165722,c_1722]) ).
tcf(c_180504,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165992,c_1722]) ).
tcf(c_180505,plain,
! [X0: $i] :
( v1_xreal_0(sK232(X0))
| v3_membered(k3_tarski(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_165842,c_1722]) ).
tcf(c_180506,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166145,c_1722]) ).
tcf(c_180507,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166278,c_1722]) ).
tcf(c_180508,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166370,c_1722]) ).
tcf(c_180510,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166498,c_1722]) ).
tcf(c_180511,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166601,c_1722]) ).
tcf(c_180512,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166724,c_1722]) ).
tcf(c_180513,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166835,c_1722]) ).
tcf(c_180514,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166956,c_1722]) ).
tcf(c_180515,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167147,c_1722]) ).
tcf(c_180516,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167358,c_1722]) ).
tcf(c_180517,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167532,c_1722]) ).
tcf(c_180518,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167679,c_1722]) ).
tcf(c_180519,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167768,c_1722]) ).
tcf(c_180520,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167895,c_1722]) ).
tcf(c_180521,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168010,c_1722]) ).
tcf(c_180522,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168135,c_1722]) ).
tcf(c_180523,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168221,c_1722]) ).
tcf(c_180524,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168357,c_1722]) ).
tcf(c_180525,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168690,c_1722]) ).
tcf(c_180526,plain,
( v1_xreal_0(np__1)
| ~ v2_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_168403,c_1722]) ).
tcf(c_180527,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168853,c_1722]) ).
tcf(c_180528,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169110,c_1722]) ).
tcf(c_180529,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169296,c_1722]) ).
tcf(c_180531,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169476,c_1722]) ).
tcf(c_180532,plain,
! [X0: $i] :
( v1_xreal_0(np__1)
| ~ v2_membered(k2_xboole_0(X0,k2_finseq_1(np__1))) ),
inference(superposition,[status(thm)],[c_169448,c_1722]) ).
tcf(c_180533,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169586,c_1722]) ).
tcf(c_180534,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169716,c_1722]) ).
tcf(c_180535,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169815,c_1722]) ).
tcf(c_180536,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170013,c_1722]) ).
tcf(c_180537,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170193,c_1722]) ).
tcf(c_180538,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170323,c_1722]) ).
tcf(c_180539,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170442,c_1722]) ).
tcf(c_180540,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170523,c_1722]) ).
tcf(c_180541,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170638,c_1722]) ).
tcf(c_180542,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xreal_0(sK87(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170964,c_1722]) ).
tcf(c_180543,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xreal_0(sK87(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170911,c_1722]) ).
tcf(c_180545,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xreal_0(sK87(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170761,c_1722]) ).
tcf(c_180546,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xreal_0(sK87(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170743,c_1722]) ).
tcf(c_180547,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xreal_0(sK87(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170690,c_1722]) ).
tcf(c_180548,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xreal_0(sK87(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170605,c_1722]) ).
tcf(c_180549,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170782,c_1722]) ).
tcf(c_180550,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171000,c_1722]) ).
tcf(c_180551,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171124,c_1722]) ).
tcf(c_180552,plain,
( v1_xreal_0(sK87(k2_finseq_1(np__1)))
| ~ v2_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_171091,c_1722]) ).
tcf(c_180553,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171262,c_1722]) ).
tcf(c_180554,plain,
! [X0: $i] :
( v1_xreal_0(np__1)
| ~ v2_membered(k2_xboole_0(k2_finseq_1(np__1),X0)) ),
inference(superposition,[status(thm)],[c_171231,c_1722]) ).
tcf(c_180555,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171454,c_1722]) ).
tcf(c_180556,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171599,c_1722]) ).
tcf(c_180557,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171853,c_1722]) ).
tcf(c_180558,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_172430,c_1722]) ).
tcf(c_180559,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_172882,c_1722]) ).
tcf(c_180560,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_173096,c_1722]) ).
tcf(c_180561,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_173169,c_1722]) ).
tcf(c_180562,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_173416,c_1722]) ).
tcf(c_180563,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_173852,c_1722]) ).
tcf(c_180564,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174140,c_1722]) ).
tcf(c_180565,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174278,c_1722]) ).
tcf(c_180566,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174408,c_1722]) ).
tcf(c_180567,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174514,c_1722]) ).
tcf(c_180568,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174744,c_1722]) ).
tcf(c_180569,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174928,c_1722]) ).
tcf(c_180570,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_175162,c_1722]) ).
tcf(c_180571,plain,
( v1_xreal_0(u1_struct_0(sK42))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK42))) ),
inference(superposition,[status(thm)],[c_175142,c_1722]) ).
tcf(c_180572,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_175316,c_1722]) ).
tcf(c_180573,plain,
( v1_xreal_0(u1_struct_0(sK70))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK70))) ),
inference(superposition,[status(thm)],[c_175273,c_1722]) ).
tcf(c_180574,plain,
( v1_xreal_0(u1_struct_0(sK72))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK72))) ),
inference(superposition,[status(thm)],[c_175279,c_1722]) ).
tcf(c_180575,plain,
( v1_xreal_0(u1_struct_0(sK609))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK609))) ),
inference(superposition,[status(thm)],[c_175284,c_1722]) ).
tcf(c_180576,plain,
( v1_xreal_0(u1_struct_0(sK414))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK414))) ),
inference(superposition,[status(thm)],[c_175290,c_1722]) ).
tcf(c_180577,plain,
( v1_xreal_0(u1_struct_0(sK494))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK494))) ),
inference(superposition,[status(thm)],[c_175296,c_1722]) ).
tcf(c_180578,plain,
( v1_xreal_0(u1_struct_0(sK571))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK571))) ),
inference(superposition,[status(thm)],[c_175302,c_1722]) ).
tcf(c_180579,plain,
( v1_xreal_0(u1_struct_0(sK133))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK133))) ),
inference(superposition,[status(thm)],[c_175307,c_1722]) ).
tcf(c_180580,plain,
( v1_xreal_0(u1_struct_0(sK575))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK575))) ),
inference(superposition,[status(thm)],[c_175313,c_1722]) ).
tcf(c_180581,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_176226,c_1722]) ).
tcf(c_180582,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_176574,c_1722]) ).
tcf(c_180584,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_176848,c_1722]) ).
tcf(c_180585,plain,
( v1_xreal_0(u1_struct_0(sK576))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK576))) ),
inference(superposition,[status(thm)],[c_176824,c_1722]) ).
tcf(c_180586,plain,
( v1_xreal_0(u1_struct_0(sK44))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK44))) ),
inference(superposition,[status(thm)],[c_176829,c_1722]) ).
tcf(c_180587,plain,
( v1_xreal_0(u1_struct_0(sK115))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK115))) ),
inference(superposition,[status(thm)],[c_176835,c_1722]) ).
tcf(c_180588,plain,
( v1_xreal_0(u1_struct_0(sK265))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK265))) ),
inference(superposition,[status(thm)],[c_176841,c_1722]) ).
tcf(c_180589,plain,
( v1_xreal_0(u1_struct_0(sK266))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK266))) ),
inference(superposition,[status(thm)],[c_176846,c_1722]) ).
tcf(c_180590,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_177077,c_1722]) ).
tcf(c_180591,plain,
( v1_xreal_0(u1_struct_0(sK267))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK267))) ),
inference(superposition,[status(thm)],[c_177042,c_1722]) ).
tcf(c_180592,plain,
( v1_xreal_0(u1_struct_0(sK268))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK268))) ),
inference(superposition,[status(thm)],[c_177047,c_1722]) ).
tcf(c_180593,plain,
( v1_xreal_0(u1_struct_0(sK421))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK421))) ),
inference(superposition,[status(thm)],[c_177052,c_1722]) ).
tcf(c_180594,plain,
( v1_xreal_0(u1_struct_0(sK422))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK422))) ),
inference(superposition,[status(thm)],[c_177057,c_1722]) ).
tcf(c_180595,plain,
( v1_xreal_0(u1_struct_0(sK269))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK269))) ),
inference(superposition,[status(thm)],[c_177062,c_1722]) ).
tcf(c_180596,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_177263,c_1722]) ).
tcf(c_180597,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_177631,c_1722]) ).
tcf(c_180598,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_177919,c_1722]) ).
tcf(c_180599,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_178257,c_1722]) ).
tcf(c_180600,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_178612,c_1722]) ).
tcf(c_180601,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_179073,c_1722]) ).
tcf(c_180602,plain,
( v1_xreal_0(sK135(sK138))
| ~ v2_membered(k1_zfmisc_1(sK138)) ),
inference(superposition,[status(thm)],[c_179040,c_1722]) ).
tcf(c_180603,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_179196,c_1722]) ).
tcf(c_180604,plain,
( v1_xreal_0(sK135(sK143))
| ~ v2_membered(k1_zfmisc_1(sK143)) ),
inference(superposition,[status(thm)],[c_179167,c_1722]) ).
tcf(c_180605,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_179305,c_1722]) ).
tcf(c_180606,plain,
( v1_xreal_0(sK135(sK357))
| ~ v2_membered(k1_zfmisc_1(sK357)) ),
inference(superposition,[status(thm)],[c_179282,c_1722]) ).
tcf(c_181321,plain,
v1_xreal_0(sK312(k4_numbers)),
inference(superposition,[status(thm)],[c_179344,c_1725]) ).
tcf(c_181322,plain,
v1_xcmplx_0(sK312(k4_numbers)),
inference(superposition,[status(thm)],[c_179344,c_1724]) ).
tcf(c_181328,plain,
v1_xcmplx_0(sK312(k1_numbers)),
inference(superposition,[status(thm)],[c_179345,c_1732]) ).
tcf(c_181342,plain,
( v1_finset_1(sK135(sK357))
| ~ v1_finset_1(sK357) ),
inference(superposition,[status(thm)],[c_179301,c_802]) ).
tcf(c_181343,plain,
( v1_relat_1(sK135(sK357))
| ~ v1_relat_1(sK357) ),
inference(superposition,[status(thm)],[c_179301,c_377]) ).
tcf(c_181344,plain,
~ r2_hidden(sK357,sK135(sK357)),
inference(superposition,[status(thm)],[c_179301,c_376]) ).
tcf(c_181345,plain,
v1_relat_1(sK135(sK357)),
inference(forward_subsumption_resolution,[status(thm)],[c_181343,c_2081]) ).
tcf(c_181346,plain,
v1_finset_1(sK135(sK357)),
inference(forward_subsumption_resolution,[status(thm)],[c_181342,c_2083]) ).
tcf(c_181351,plain,
k5_relat_1(sK135(sK357),np__0) = np__0,
inference(superposition,[status(thm)],[c_181345,c_968]) ).
tcf(c_181352,plain,
k5_relat_1(np__0,sK135(sK357)) = np__0,
inference(superposition,[status(thm)],[c_181345,c_967]) ).
tcf(c_181353,plain,
( sP8(sK135(sK357))
| ~ v1_funct_1(sK135(sK357)) ),
inference(superposition,[status(thm)],[c_181345,c_931]) ).
tcf(c_181377,plain,
k1_zfmisc_1(sK135(sK357)) = k5_finsub_1(sK135(sK357)),
inference(superposition,[status(thm)],[c_181346,c_768]) ).
tcf(c_181378,plain,
( v1_xcmplx_0(sK135(sK357))
| ~ v1_membered(k1_zfmisc_1(sK357)) ),
inference(superposition,[status(thm)],[c_179304,c_1718]) ).
tcf(c_181379,plain,
( v4_ordinal2(sK135(sK357))
| ~ v5_membered(k1_zfmisc_1(sK357)) ),
inference(superposition,[status(thm)],[c_179304,c_1270]) ).
tcf(c_181380,plain,
~ r2_hidden(k1_zfmisc_1(sK357),sK135(sK357)),
inference(superposition,[status(thm)],[c_179304,c_431]) ).
tcf(c_181381,plain,
r2_hidden(sK87(k1_zfmisc_1(sK357)),k1_zfmisc_1(sK357)),
inference(superposition,[status(thm)],[c_179304,c_427]) ).
tcf(c_181382,plain,
~ v1_xboole_0(k1_zfmisc_1(sK357)),
inference(superposition,[status(thm)],[c_179304,c_426]) ).
tcf(c_181389,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_179315,c_78840,c_179315]) ).
tcf(c_181396,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_181389,c_100]) ).
tcf(c_181397,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_181389,c_1722]) ).
tcf(c_181398,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_181389,c_1721]) ).
tcf(c_181399,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_181389,c_425]) ).
tcf(c_181400,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_181389,c_423]) ).
tcf(c_181401,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_181389,c_78786]) ).
tcf(c_181410,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181400,c_121]) ).
tcf(c_181427,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_58,c_1723]) ).
tcf(c_181428,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_67,c_1723]) ).
tcf(c_181430,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_1204,c_1723]) ).
tcf(c_181432,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK54(X0))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_119,c_1723]) ).
tcf(c_181433,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_424,c_1723]) ).
tcf(c_181436,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK135(X0))
| ~ v1_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_758,c_1723]) ).
tcf(c_181437,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK141(X0))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_803,c_1723]) ).
tcf(c_181438,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK142(X0))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_811,c_1723]) ).
tcf(c_181439,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_1231,c_1723]) ).
tcf(c_181443,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xcmplx_0(sK497(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3103,c_1723]) ).
tcf(c_181444,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xcmplx_0(sK496(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3104,c_1723]) ).
tcf(c_181445,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xcmplx_0(sK499(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3106,c_1723]) ).
tcf(c_181446,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xcmplx_0(sK498(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3107,c_1723]) ).
tcf(c_181447,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xcmplx_0(sK501(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3109,c_1723]) ).
tcf(c_181448,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| v1_xcmplx_0(sK500(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3110,c_1723]) ).
tcf(c_181458,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK562)
| v1_xcmplx_0(k3_rlvect_1(sK562,X0,X1))
| ~ v1_membered(u1_struct_0(sK562))
| ~ m1_subset_1(X1,k1_numbers)
| ~ m1_subset_1(X0,u1_struct_0(sK562)) ),
inference(superposition,[status(thm)],[c_77992,c_1723]) ).
tcf(c_181459,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k3_rlvect_1(sK563,X0,X1))
| ~ v1_membered(u1_struct_0(sK563))
| ~ m1_subset_1(X1,k1_numbers)
| ~ m1_subset_1(X0,u1_struct_0(sK563)) ),
inference(superposition,[status(thm)],[c_78010,c_1723]) ).
tcf(c_181460,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(X0)))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163360,c_1723]) ).
tcf(c_181461,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163412,c_1723]) ).
tcf(c_181462,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163505,c_1723]) ).
tcf(c_181463,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163626,c_1723]) ).
tcf(c_181464,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163738,c_1723]) ).
tcf(c_181465,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163821,c_1723]) ).
tcf(c_181466,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163861,c_1723]) ).
tcf(c_181467,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_163968,c_1723]) ).
tcf(c_181468,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164238,c_1723]) ).
tcf(c_181469,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164362,c_1723]) ).
tcf(c_181470,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164538,c_1723]) ).
tcf(c_181471,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164736,c_1723]) ).
tcf(c_181472,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_164899,c_1723]) ).
tcf(c_181473,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165240,c_1723]) ).
tcf(c_181489,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165461,c_1723]) ).
tcf(c_181490,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165557,c_1723]) ).
tcf(c_181491,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165693,c_1723]) ).
tcf(c_181492,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165825,c_1723]) ).
tcf(c_181494,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_165992,c_1723]) ).
tcf(c_181496,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166145,c_1723]) ).
tcf(c_181497,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166278,c_1723]) ).
tcf(c_181498,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166370,c_1723]) ).
tcf(c_181500,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166498,c_1723]) ).
tcf(c_181501,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166601,c_1723]) ).
tcf(c_181502,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166724,c_1723]) ).
tcf(c_181503,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166835,c_1723]) ).
tcf(c_181504,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_166956,c_1723]) ).
tcf(c_181505,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167147,c_1723]) ).
tcf(c_181506,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167358,c_1723]) ).
tcf(c_181507,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167532,c_1723]) ).
tcf(c_181508,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167679,c_1723]) ).
tcf(c_181509,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167768,c_1723]) ).
tcf(c_181510,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_167895,c_1723]) ).
tcf(c_181511,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168010,c_1723]) ).
tcf(c_181512,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168135,c_1723]) ).
tcf(c_181513,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168221,c_1723]) ).
tcf(c_181514,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168357,c_1723]) ).
tcf(c_181515,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168690,c_1723]) ).
tcf(c_181517,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168853,c_1723]) ).
tcf(c_181518,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169110,c_1723]) ).
tcf(c_181519,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169296,c_1723]) ).
tcf(c_181521,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169476,c_1723]) ).
tcf(c_181523,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169586,c_1723]) ).
tcf(c_181524,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169716,c_1723]) ).
tcf(c_181525,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_169815,c_1723]) ).
tcf(c_181526,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170013,c_1723]) ).
tcf(c_181527,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170193,c_1723]) ).
tcf(c_181528,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170323,c_1723]) ).
tcf(c_181529,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170442,c_1723]) ).
tcf(c_181530,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170523,c_1723]) ).
tcf(c_181531,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170638,c_1723]) ).
tcf(c_181539,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170782,c_1723]) ).
tcf(c_181540,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171000,c_1723]) ).
tcf(c_181541,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171124,c_1723]) ).
tcf(c_181543,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171262,c_1723]) ).
tcf(c_181545,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171454,c_1723]) ).
tcf(c_181546,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171599,c_1723]) ).
tcf(c_181547,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_171853,c_1723]) ).
tcf(c_181548,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_172430,c_1723]) ).
tcf(c_181549,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_172882,c_1723]) ).
tcf(c_181550,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_173096,c_1723]) ).
tcf(c_181551,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_173169,c_1723]) ).
tcf(c_181552,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_173416,c_1723]) ).
tcf(c_181553,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_173852,c_1723]) ).
tcf(c_181554,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174140,c_1723]) ).
tcf(c_181555,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174278,c_1723]) ).
tcf(c_181556,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174408,c_1723]) ).
tcf(c_181557,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174514,c_1723]) ).
tcf(c_181558,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174744,c_1723]) ).
tcf(c_181559,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_174928,c_1723]) ).
tcf(c_181560,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_175162,c_1723]) ).
tcf(c_181562,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_175316,c_1723]) ).
tcf(c_181571,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_176226,c_1723]) ).
tcf(c_181572,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_176574,c_1723]) ).
tcf(c_181574,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_176848,c_1723]) ).
tcf(c_181575,plain,
( v1_xcmplx_0(u1_struct_0(sK576))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK576))) ),
inference(superposition,[status(thm)],[c_176824,c_1723]) ).
tcf(c_181576,plain,
( v1_xcmplx_0(u1_struct_0(sK44))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK44))) ),
inference(superposition,[status(thm)],[c_176829,c_1723]) ).
tcf(c_181577,plain,
( v1_xcmplx_0(u1_struct_0(sK115))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK115))) ),
inference(superposition,[status(thm)],[c_176835,c_1723]) ).
tcf(c_181578,plain,
( v1_xcmplx_0(u1_struct_0(sK265))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK265))) ),
inference(superposition,[status(thm)],[c_176841,c_1723]) ).
tcf(c_181579,plain,
( v1_xcmplx_0(u1_struct_0(sK266))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK266))) ),
inference(superposition,[status(thm)],[c_176846,c_1723]) ).
tcf(c_181580,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_177077,c_1723]) ).
tcf(c_181581,plain,
( v1_xcmplx_0(u1_struct_0(sK267))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK267))) ),
inference(superposition,[status(thm)],[c_177042,c_1723]) ).
tcf(c_181582,plain,
( v1_xcmplx_0(u1_struct_0(sK268))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK268))) ),
inference(superposition,[status(thm)],[c_177047,c_1723]) ).
tcf(c_181583,plain,
( v1_xcmplx_0(u1_struct_0(sK421))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK421))) ),
inference(superposition,[status(thm)],[c_177052,c_1723]) ).
tcf(c_181584,plain,
( v1_xcmplx_0(u1_struct_0(sK422))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK422))) ),
inference(superposition,[status(thm)],[c_177057,c_1723]) ).
tcf(c_181585,plain,
( v1_xcmplx_0(u1_struct_0(sK269))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK269))) ),
inference(superposition,[status(thm)],[c_177062,c_1723]) ).
tcf(c_181586,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_177263,c_1723]) ).
tcf(c_181587,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_177631,c_1723]) ).
tcf(c_181588,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_177919,c_1723]) ).
tcf(c_181589,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_178257,c_1723]) ).
tcf(c_181590,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_178612,c_1723]) ).
tcf(c_181591,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_179073,c_1723]) ).
tcf(c_181593,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_179196,c_1723]) ).
tcf(c_181595,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_179305,c_1723]) ).
tcf(c_181597,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_181389,c_1723]) ).
tcf(c_182294,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v1_membered(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168873,c_1733]) ).
tcf(c_182295,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_122,c_1733]) ).
tcf(c_182298,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_zfmisc_1(X0,X1))
| ~ v1_membered(k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))) ),
inference(superposition,[status(thm)],[c_505,c_1733]) ).
tcf(c_182299,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(X2)
| ~ r1_tarski(X2,X1)
| ~ v1_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_537,c_1733]) ).
tcf(c_182300,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v1_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_540,c_1733]) ).
tcf(c_182301,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_769,c_1733]) ).
tcf(c_182302,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_770,c_1733]) ).
tcf(c_182305,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1102,c_1733]) ).
tcf(c_182306,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v1_membered(X1)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1108,c_1733]) ).
tcf(c_182307,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_1143,c_1733]) ).
tcf(c_182309,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v1_membered(k3_tarski(X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1193,c_1733]) ).
tcf(c_182310,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_membered(k1_zfmisc_1(k3_tarski(X0))) ),
inference(superposition,[status(thm)],[c_1184,c_1733]) ).
tcf(c_182311,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(X0))
| ~ v1_membered(k3_tarski(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1190,c_1733]) ).
tcf(c_182313,plain,
! [X0: $i,X1: $i] :
( v1_membered(k7_relat_1(X0,X1))
| ~ v1_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1929,c_1733]) ).
tcf(c_182314,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2037,c_1733]) ).
tcf(c_182315,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X1,X1))
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2020,c_1733]) ).
tcf(c_182316,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_membered(k4_numbers)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2112,c_1733]) ).
tcf(c_182317,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_membered(k3_numbers)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_2216,c_1733]) ).
tcf(c_182318,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_membered(k1_numbers)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2246,c_1733]) ).
tcf(c_182319,plain,
! [X0: $i] :
( v1_membered(X0)
| r2_hidden(sK375(X0),X0)
| ~ v1_membered(sK376(X0)) ),
inference(superposition,[status(thm)],[c_2256,c_1733]) ).
tcf(c_182320,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v3_ordinal1(sK375(X0))
| ~ v1_membered(sK376(X0)) ),
inference(superposition,[status(thm)],[c_2254,c_1733]) ).
tcf(c_182321,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_membered(k5_numbers)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2334,c_1733]) ).
tcf(c_182322,plain,
! [X0: $i] :
( v1_membered(k6_partfun1(X0))
| ~ v1_membered(k2_zfmisc_1(X0,X0)) ),
inference(superposition,[status(thm)],[c_2813,c_1733]) ).
tcf(c_182323,plain,
! [X0: $i] :
( v1_membered(k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2876,c_1733]) ).
tcf(c_182324,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2877,c_1733]) ).
tcf(c_182333,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v1_membered(k5_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_3126,c_1733]) ).
tcf(c_182336,plain,
! [X0: $i] :
( v1_membered(k4_classes1(k1_card_1(X0)))
| ~ v2_classes1(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3158,c_1733]) ).
tcf(c_182338,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(X0))
| ~ v1_membered(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_3412,c_1733]) ).
tcf(c_182339,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_funct_2(X0,X1))
| ~ v1_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_3467,c_1733]) ).
tcf(c_182340,plain,
! [X0: $i,X1: $i] :
( v1_membered(k8_relat_1(X1,X0))
| ~ v1_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3893,c_1733]) ).
tcf(c_182341,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_membered(sK54(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_168498,c_1733]) ).
tcf(c_182342,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_membered(sK141(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_168499,c_1733]) ).
tcf(c_182343,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_membered(sK142(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_168500,c_1733]) ).
tcf(c_182344,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X0,X2)))
| ~ v1_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_49625,c_1733]) ).
tcf(c_182345,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(k1_zfmisc_1(X0)))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_164196,c_1733]) ).
tcf(c_182348,plain,
! [X0: $i] :
( v1_membered(k2_finseq_1(np__1))
| ~ v1_membered(k2_tarski(np__1,X0)) ),
inference(superposition,[status(thm)],[c_168386,c_1733]) ).
tcf(c_182349,plain,
! [X0: $i] :
( v1_membered(k2_finseq_1(np__1))
| ~ v1_membered(k2_tarski(X0,np__1)) ),
inference(superposition,[status(thm)],[c_168387,c_1733]) ).
tcf(c_182350,plain,
( v1_membered(k2_finseq_1(np__1))
| ~ v1_membered(k1_zfmisc_1(np__1)) ),
inference(superposition,[status(thm)],[c_168397,c_1733]) ).
tcf(c_182351,plain,
! [X0: $i] :
( v1_membered(sK43(k1_zfmisc_1(X0)))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_168495,c_1733]) ).
tcf(c_182352,plain,
! [X0: $i,X1: $i] :
( v1_membered(X1)
| ~ v1_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_169158,c_1733]) ).
tcf(c_182353,plain,
! [X0: $i] :
( v1_membered(sK87(k1_zfmisc_1(X0)))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_178146,c_1733]) ).
tcf(c_182354,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_membered(k3_relat_1(k6_partfun1(X0))) ),
inference(superposition,[status(thm)],[c_171630,c_1733]) ).
tcf(c_182355,plain,
! [X0: $i] :
( v1_membered(k1_funct_2(X0,np__0))
| ~ v1_membered(k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173434,c_1733]) ).
tcf(c_182360,plain,
( v1_membered(sK135(sK138))
| ~ v1_membered(sK138) ),
inference(superposition,[status(thm)],[c_179059,c_1733]) ).
tcf(c_182362,plain,
( v1_membered(sK135(sK143))
| ~ v1_membered(sK143) ),
inference(superposition,[status(thm)],[c_179186,c_1733]) ).
tcf(c_182364,plain,
( v1_membered(sK135(sK357))
| ~ v1_membered(sK357) ),
inference(superposition,[status(thm)],[c_179301,c_1733]) ).
tcf(c_182391,plain,
! [X0: $i] : v1_membered(k1_funct_2(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_182355,c_166395]) ).
tcf(c_182499,plain,
k9_relat_1(sK90,np__0) = np__0,
inference(superposition,[status(thm)],[c_437,c_1870]) ).
tcf(c_182500,plain,
k9_relat_1(np__0,np__0) = np__0,
inference(superposition,[status(thm)],[c_2077,c_1870]) ).
tcf(c_182501,plain,
! [X0: $i,X1: $i] : k9_relat_1(k2_zfmisc_1(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_623,c_1870]) ).
tcf(c_182502,plain,
k9_relat_1(sK119,np__0) = np__0,
inference(superposition,[status(thm)],[c_633,c_1870]) ).
tcf(c_182503,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k9_relat_1(sK121(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_650,c_1870]) ).
tcf(c_182504,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k9_relat_1(sK120(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_652,c_1870]) ).
tcf(c_182505,plain,
k9_relat_1(sK138,np__0) = np__0,
inference(superposition,[status(thm)],[c_781,c_1870]) ).
tcf(c_182506,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k9_relat_1(sK146(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_840,c_1870]) ).
tcf(c_182507,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k9_relat_1(sK147(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_847,c_1870]) ).
tcf(c_182508,plain,
! [X0: $i] :
( ( k9_relat_1(k1_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_873,c_1870]) ).
tcf(c_182511,plain,
! [X0: $i] :
( ( k9_relat_1(k2_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1007,c_1870]) ).
tcf(c_182512,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_1124,c_1870]) ).
tcf(c_182513,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_1593,c_1870]) ).
tcf(c_182514,plain,
! [X0: $i,X1: $i] : k9_relat_1(sK276(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_1615,c_1870]) ).
tcf(c_182515,plain,
! [X0: $i,X1: $i] : k9_relat_1(sK277(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_1619,c_1870]) ).
tcf(c_182516,plain,
k9_relat_1(sK336,np__0) = np__0,
inference(superposition,[status(thm)],[c_1830,c_1870]) ).
tcf(c_182517,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_1905,c_1870]) ).
tcf(c_182518,plain,
! [X0: $i] :
( ( k9_relat_1(sK356(X0),np__0) = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2069,c_1870]) ).
tcf(c_182519,plain,
k9_relat_1(sK357,np__0) = np__0,
inference(superposition,[status(thm)],[c_2081,c_1870]) ).
tcf(c_182520,plain,
! [X0: $i] : k9_relat_1(sK358(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_2086,c_1870]) ).
tcf(c_182521,plain,
k9_relat_1(sK359,np__0) = np__0,
inference(superposition,[status(thm)],[c_2091,c_1870]) ).
tcf(c_182522,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(sK394(X0,X1),np__0) = np__0 )
| ~ sP22(X0,X1) ),
inference(superposition,[status(thm)],[c_2446,c_1870]) ).
tcf(c_182523,plain,
! [X0: $i] : k9_relat_1(k6_partfun1(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_2834,c_1870]) ).
tcf(c_182524,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_3870,c_1870]) ).
tcf(c_182525,plain,
! [X0: $i] :
( ( k9_relat_1(k4_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3937,c_1870]) ).
tcf(c_182526,plain,
! [X0: $i] :
( ( k9_relat_1(k4_relat_1(X0),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3921,c_1870]) ).
tcf(c_182527,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_49629,c_1870]) ).
tcf(c_182528,plain,
! [X0: $i,X1: $i] : k9_relat_1(sK43(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_174999,c_1870]) ).
tcf(c_182529,plain,
( ( k9_relat_1(sK87(k1_zfmisc_1(u1_struct_0(sK42))),np__0) = np__0 )
| ~ v1_relat_1(u1_struct_0(sK42)) ),
inference(superposition,[status(thm)],[c_176212,c_1870]) ).
tcf(c_182530,plain,
k9_relat_1(sK135(sK138),np__0) = np__0,
inference(superposition,[status(thm)],[c_179066,c_1870]) ).
tcf(c_182531,plain,
k9_relat_1(sK135(sK357),np__0) = np__0,
inference(superposition,[status(thm)],[c_181345,c_1870]) ).
tcf(c_182624,plain,
( r1_tarski(np__0,k2_relat_1(np__0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_1869,c_1875]) ).
tcf(c_182625,plain,
! [X0: $i] :
( r1_tarski(k9_relat_1(np__0,X0),np__0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_995,c_1875]) ).
tcf(c_182626,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_2854,c_1875]) ).
tcf(c_182627,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_1875,c_1733]) ).
tcf(c_182628,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_1875,c_802]) ).
tcf(c_182629,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_1875,c_377]) ).
tcf(c_182630,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_1875,c_376]) ).
tcf(c_182635,plain,
! [X0: $i,X1: $i] : r1_tarski(k9_relat_1(k6_partfun1(X0),X1),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_182626,c_2834]) ).
tcf(c_182668,plain,
! [X0: $i] : ~ r1_tarski(k5_finsub_1(X0),np__0),
inference(superposition,[status(thm)],[c_125,c_177598]) ).
tcf(c_182678,plain,
! [X0: $i] : ~ v1_xboole_0(k5_finsub_1(X0)),
inference(superposition,[status(thm)],[c_168873,c_182668]) ).
tcf(c_182679,plain,
~ r1_tarski(k1_zfmisc_1(np__0),np__0),
inference(superposition,[status(thm)],[c_47208,c_182668]) ).
tcf(c_182680,plain,
~ r1_tarski(k1_zfmisc_1(sK138),np__0),
inference(superposition,[status(thm)],[c_177293,c_182668]) ).
tcf(c_182681,plain,
~ r1_tarski(k1_zfmisc_1(sK143),np__0),
inference(superposition,[status(thm)],[c_177299,c_182668]) ).
tcf(c_182682,plain,
~ r1_tarski(k1_zfmisc_1(sK357),np__0),
inference(superposition,[status(thm)],[c_177300,c_182668]) ).
tcf(c_182700,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK87(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_177609,c_1718]) ).
tcf(c_182701,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK87(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_177609,c_1270]) ).
tcf(c_182702,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK87(X0)) ),
inference(superposition,[status(thm)],[c_177609,c_431]) ).
tcf(c_182705,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_177609,c_421]) ).
tcf(c_182708,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r2_hidden(sK87(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_177609,c_1158]) ).
tcf(c_182710,plain,
( v1_xboole_0(k4_numbers)
| v1_int_1(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_177609,c_3085]) ).
tcf(c_182711,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_funct_2(X0,X1))
| v1_funct_1(sK87(k1_funct_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_177609,c_3470]) ).
tcf(c_182712,plain,
v1_int_1(sK87(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_182710,c_3094]) ).
tcf(c_182729,plain,
v1_xreal_0(sK87(k4_numbers)),
inference(superposition,[status(thm)],[c_182712,c_1725]) ).
tcf(c_182730,plain,
v1_xcmplx_0(sK87(k4_numbers)),
inference(superposition,[status(thm)],[c_182712,c_1724]) ).
tcf(c_182731,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_181401,c_78840,c_181401]) ).
tcf(c_182738,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_182731,c_100]) ).
tcf(c_182739,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_182731,c_1723]) ).
tcf(c_182740,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_182731,c_1722]) ).
tcf(c_182741,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_182731,c_1721]) ).
tcf(c_182742,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_182731,c_425]) ).
tcf(c_182743,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_182731,c_423]) ).
tcf(c_182744,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_182731,c_78786]) ).
tcf(c_182756,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182743,c_121]) ).
tcf(c_182776,plain,
k7_relat_1(sK90,np__0) = np__0,
inference(superposition,[status(thm)],[c_437,c_1911]) ).
tcf(c_182777,plain,
k7_relat_1(np__0,np__0) = np__0,
inference(superposition,[status(thm)],[c_2077,c_1911]) ).
tcf(c_182778,plain,
! [X0: $i,X1: $i] : k7_relat_1(k2_zfmisc_1(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_623,c_1911]) ).
tcf(c_182779,plain,
k7_relat_1(sK119,np__0) = np__0,
inference(superposition,[status(thm)],[c_633,c_1911]) ).
tcf(c_182780,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK121(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_650,c_1911]) ).
tcf(c_182781,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK120(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_652,c_1911]) ).
tcf(c_182782,plain,
k7_relat_1(sK138,np__0) = np__0,
inference(superposition,[status(thm)],[c_781,c_1911]) ).
tcf(c_182783,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK146(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_840,c_1911]) ).
tcf(c_182784,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK147(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_847,c_1911]) ).
tcf(c_182785,plain,
! [X0: $i] :
( ( k7_relat_1(k1_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_873,c_1911]) ).
tcf(c_182788,plain,
! [X0: $i] :
( ( k7_relat_1(k2_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1007,c_1911]) ).
tcf(c_182789,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_1124,c_1911]) ).
tcf(c_182790,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_1593,c_1911]) ).
tcf(c_182791,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK276(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_1615,c_1911]) ).
tcf(c_182792,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK277(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_1619,c_1911]) ).
tcf(c_182793,plain,
k7_relat_1(sK336,np__0) = np__0,
inference(superposition,[status(thm)],[c_1830,c_1911]) ).
tcf(c_182794,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_1905,c_1911]) ).
tcf(c_182795,plain,
! [X0: $i] :
( ( k7_relat_1(sK356(X0),np__0) = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2069,c_1911]) ).
tcf(c_182796,plain,
k7_relat_1(sK357,np__0) = np__0,
inference(superposition,[status(thm)],[c_2081,c_1911]) ).
tcf(c_182797,plain,
! [X0: $i] : k7_relat_1(sK358(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_2086,c_1911]) ).
tcf(c_182798,plain,
k7_relat_1(sK359,np__0) = np__0,
inference(superposition,[status(thm)],[c_2091,c_1911]) ).
tcf(c_182799,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(sK394(X0,X1),np__0) = np__0 )
| ~ sP22(X0,X1) ),
inference(superposition,[status(thm)],[c_2446,c_1911]) ).
tcf(c_182800,plain,
! [X0: $i] : k7_relat_1(k6_partfun1(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_2834,c_1911]) ).
tcf(c_182801,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_3870,c_1911]) ).
tcf(c_182802,plain,
! [X0: $i] :
( ( k7_relat_1(k4_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3937,c_1911]) ).
tcf(c_182803,plain,
! [X0: $i] :
( ( k7_relat_1(k4_relat_1(X0),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3921,c_1911]) ).
tcf(c_182804,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_49629,c_1911]) ).
tcf(c_182805,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK43(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_174999,c_1911]) ).
tcf(c_182806,plain,
( ( k7_relat_1(sK87(k1_zfmisc_1(u1_struct_0(sK42))),np__0) = np__0 )
| ~ v1_relat_1(u1_struct_0(sK42)) ),
inference(superposition,[status(thm)],[c_176212,c_1911]) ).
tcf(c_182807,plain,
k7_relat_1(sK135(sK138),np__0) = np__0,
inference(superposition,[status(thm)],[c_179066,c_1911]) ).
tcf(c_182808,plain,
k7_relat_1(sK135(sK357),np__0) = np__0,
inference(superposition,[status(thm)],[c_181345,c_1911]) ).
tcf(c_182903,plain,
! [X0: $i] :
( r1_tarski(k1_relat_1(np__0),X0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_1910,c_1930]) ).
tcf(c_182904,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_1930,c_1733]) ).
tcf(c_182905,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_1930,c_802]) ).
tcf(c_182906,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_1930,c_377]) ).
tcf(c_182907,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_1930,c_376]) ).
tcf(c_182908,plain,
! [X0: $i] :
( v1_finset_1(k1_relat_1(k7_relat_1(X0,np__0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_173328]) ).
tcf(c_182909,plain,
! [X0: $i] :
( ( k1_relat_1(k7_relat_1(X0,np__0)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_390]) ).
tcf(c_182910,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_1930,c_694]) ).
tcf(c_182911,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_1930,c_693]) ).
tcf(c_182912,plain,
! [X0: $i] :
( v1_membered(k1_relat_1(k7_relat_1(X0,k4_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_168451]) ).
tcf(c_182913,plain,
! [X0: $i] :
( v2_membered(k1_relat_1(k7_relat_1(X0,k4_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_168450]) ).
tcf(c_182914,plain,
! [X0: $i] :
( v3_membered(k1_relat_1(k7_relat_1(X0,k4_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_168449]) ).
tcf(c_182915,plain,
! [X0: $i] :
( v4_membered(k1_relat_1(k7_relat_1(X0,k4_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_168448]) ).
tcf(c_182916,plain,
! [X0: $i] :
( v1_membered(k1_relat_1(k7_relat_1(X0,k3_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_168454]) ).
tcf(c_182917,plain,
! [X0: $i] :
( v2_membered(k1_relat_1(k7_relat_1(X0,k3_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_168453]) ).
tcf(c_182918,plain,
! [X0: $i] :
( v3_membered(k1_relat_1(k7_relat_1(X0,k3_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_168452]) ).
tcf(c_182919,plain,
! [X0: $i] :
( v1_membered(k1_relat_1(k7_relat_1(X0,k1_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_168442]) ).
tcf(c_182920,plain,
! [X0: $i] :
( v2_membered(k1_relat_1(k7_relat_1(X0,k1_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_168441]) ).
tcf(c_182921,plain,
! [X0: $i] :
( v1_membered(k1_relat_1(k7_relat_1(X0,k5_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_168447]) ).
tcf(c_182922,plain,
! [X0: $i] :
( v2_membered(k1_relat_1(k7_relat_1(X0,k5_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_168446]) ).
tcf(c_182923,plain,
! [X0: $i] :
( v3_membered(k1_relat_1(k7_relat_1(X0,k5_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_168445]) ).
tcf(c_182924,plain,
! [X0: $i] :
( v4_membered(k1_relat_1(k7_relat_1(X0,k5_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_168444]) ).
tcf(c_182925,plain,
! [X0: $i] :
( v5_membered(k1_relat_1(k7_relat_1(X0,k5_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_168443]) ).
tcf(c_182926,plain,
! [X0: $i] :
( v1_membered(k1_relat_1(k7_relat_1(X0,k2_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_168455]) ).
tcf(c_182927,plain,
! [X0: $i] :
( r1_tarski(np__0,X0)
| ~ v1_relat_1(np__0) ),
inference(light_normalisation,[status(thm)],[c_182903,c_865]) ).
tcf(c_183028,plain,
k10_relat_1(sK90,np__0) = np__0,
inference(superposition,[status(thm)],[c_437,c_1970]) ).
tcf(c_183029,plain,
k10_relat_1(np__0,np__0) = np__0,
inference(superposition,[status(thm)],[c_2077,c_1970]) ).
tcf(c_183030,plain,
! [X0: $i,X1: $i] : k10_relat_1(k2_zfmisc_1(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_623,c_1970]) ).
tcf(c_183031,plain,
k10_relat_1(sK119,np__0) = np__0,
inference(superposition,[status(thm)],[c_633,c_1970]) ).
tcf(c_183032,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k10_relat_1(sK121(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_650,c_1970]) ).
tcf(c_183033,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k10_relat_1(sK120(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_652,c_1970]) ).
tcf(c_183034,plain,
k10_relat_1(sK138,np__0) = np__0,
inference(superposition,[status(thm)],[c_781,c_1970]) ).
tcf(c_183035,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k10_relat_1(sK146(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_840,c_1970]) ).
tcf(c_183036,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k10_relat_1(sK147(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_847,c_1970]) ).
tcf(c_183037,plain,
! [X0: $i] :
( ( k10_relat_1(k1_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_873,c_1970]) ).
tcf(c_183040,plain,
! [X0: $i] :
( ( k10_relat_1(k2_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1007,c_1970]) ).
tcf(c_183041,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_1124,c_1970]) ).
tcf(c_183042,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_1593,c_1970]) ).
tcf(c_183043,plain,
! [X0: $i,X1: $i] : k10_relat_1(sK276(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_1615,c_1970]) ).
tcf(c_183044,plain,
! [X0: $i,X1: $i] : k10_relat_1(sK277(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_1619,c_1970]) ).
tcf(c_183045,plain,
k10_relat_1(sK336,np__0) = np__0,
inference(superposition,[status(thm)],[c_1830,c_1970]) ).
tcf(c_183046,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_1905,c_1970]) ).
tcf(c_183047,plain,
! [X0: $i] :
( ( k10_relat_1(sK356(X0),np__0) = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2069,c_1970]) ).
tcf(c_183048,plain,
k10_relat_1(sK357,np__0) = np__0,
inference(superposition,[status(thm)],[c_2081,c_1970]) ).
tcf(c_183049,plain,
! [X0: $i] : k10_relat_1(sK358(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_2086,c_1970]) ).
tcf(c_183050,plain,
k10_relat_1(sK359,np__0) = np__0,
inference(superposition,[status(thm)],[c_2091,c_1970]) ).
tcf(c_183051,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(sK394(X0,X1),np__0) = np__0 )
| ~ sP22(X0,X1) ),
inference(superposition,[status(thm)],[c_2446,c_1970]) ).
tcf(c_183052,plain,
! [X0: $i] : k10_relat_1(k6_partfun1(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_2834,c_1970]) ).
tcf(c_183053,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_3870,c_1970]) ).
tcf(c_183054,plain,
! [X0: $i] :
( ( k10_relat_1(k4_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3937,c_1970]) ).
tcf(c_183055,plain,
! [X0: $i] :
( ( k10_relat_1(k4_relat_1(X0),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3921,c_1970]) ).
tcf(c_183056,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_49629,c_1970]) ).
tcf(c_183057,plain,
! [X0: $i,X1: $i] : k10_relat_1(sK43(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_174999,c_1970]) ).
tcf(c_183058,plain,
( ( k10_relat_1(sK87(k1_zfmisc_1(u1_struct_0(sK42))),np__0) = np__0 )
| ~ v1_relat_1(u1_struct_0(sK42)) ),
inference(superposition,[status(thm)],[c_176212,c_1970]) ).
tcf(c_183059,plain,
k10_relat_1(sK135(sK138),np__0) = np__0,
inference(superposition,[status(thm)],[c_179066,c_1970]) ).
tcf(c_183060,plain,
k10_relat_1(sK135(sK357),np__0) = np__0,
inference(superposition,[status(thm)],[c_181345,c_1970]) ).
tcf(c_183210,plain,
( r1_tarski(np__0,k1_relat_1(np__0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_1969,c_1974]) ).
tcf(c_183211,plain,
! [X0: $i] :
( r1_tarski(k10_relat_1(np__0,X0),np__0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_865,c_1974]) ).
tcf(c_183212,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_2853,c_1974]) ).
tcf(c_183213,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_1974,c_1733]) ).
tcf(c_183214,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_1974,c_802]) ).
tcf(c_183215,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_1974,c_377]) ).
tcf(c_183216,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_1974,c_376]) ).
tcf(c_183221,plain,
! [X0: $i,X1: $i] : r1_tarski(k10_relat_1(k6_partfun1(X0),X1),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_183212,c_2834]) ).
tcf(c_183241,plain,
( v1_xcmplx_0(sK87(k1_zfmisc_1(k1_numbers)))
| ~ v1_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_177629,c_1723]) ).
tcf(c_183244,plain,
( v1_xboole_0(sK87(k1_zfmisc_1(k1_numbers)))
| ~ v1_xboole_0(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_177629,c_425]) ).
tcf(c_183245,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| r2_hidden(sK87(k1_zfmisc_1(k1_numbers)),k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_177629,c_423]) ).
tcf(c_183255,plain,
! [X0: $i] :
( v3_ordinal1(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_177663,c_165079]) ).
tcf(c_183256,plain,
! [X0: $i] :
( ( k6_partfun1(X0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_177663,c_446]) ).
tcf(c_183258,plain,
! [X0: $i] :
( v1_realset1(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_177663,c_3026]) ).
tcf(c_183259,plain,
! [X0: $i] :
( v5_membered(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_177663,c_2186]) ).
tcf(c_183260,plain,
! [X0: $i] :
( v4_membered(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_177663,c_2185]) ).
tcf(c_183261,plain,
! [X0: $i] :
( v3_membered(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_177663,c_2184]) ).
tcf(c_183262,plain,
! [X0: $i] :
( v2_membered(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_177663,c_2183]) ).
tcf(c_183263,plain,
! [X0: $i] :
( v1_membered(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_177663,c_2182]) ).
tcf(c_183264,plain,
! [X0: $i] :
( v1_finset_1(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_177663,c_816]) ).
tcf(c_183324,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_182744,c_78840,c_182744]) ).
tcf(c_183331,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_183324,c_100]) ).
tcf(c_183332,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_183324,c_1723]) ).
tcf(c_183333,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_183324,c_1722]) ).
tcf(c_183334,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_183324,c_1721]) ).
tcf(c_183335,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_183324,c_425]) ).
tcf(c_183336,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_183324,c_423]) ).
tcf(c_183337,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_183324,c_78786]) ).
tcf(c_183349,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183336,c_121]) ).
tcf(c_183370,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(X0,k2_tarski(X1,X2)) != np__0,
inference(superposition,[status(thm)],[c_546,c_2015]) ).
tcf(c_183371,plain,
! [X0: $i,X1: $i] : k2_tarski(X0,X1) != np__0,
inference(superposition,[status(thm)],[c_50200,c_2015]) ).
tcf(c_183373,plain,
! [X0: $i] : k2_xboole_0(k1_zfmisc_1(np__0),X0) != np__0,
inference(superposition,[status(thm)],[c_1112,c_2015]) ).
tcf(c_183375,plain,
! [X0: $i] : k2_xboole_0(k2_finseq_1(np__1),X0) != np__0,
inference(superposition,[status(thm)],[c_57872,c_2015]) ).
tcf(c_183388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k2_xboole_0(X3,X2))
| ~ r1_tarski(k2_tarski(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_537,c_2024]) ).
tcf(c_183389,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_xboole_0(k2_tarski(X0,X1),X2)),
inference(superposition,[status(thm)],[c_540,c_2024]) ).
tcf(c_183390,plain,
! [X0: $i] : r2_hidden(X0,k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_1102,c_2024]) ).
tcf(c_183392,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_1193,c_2024]) ).
tcf(c_183393,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k1_zfmisc_1(k3_tarski(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_1184,c_2024]) ).
tcf(c_183396,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k4_numbers)
| ~ v4_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2112,c_2024]) ).
tcf(c_183397,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k3_numbers)
| ~ v3_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2216,c_2024]) ).
tcf(c_183398,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_numbers)
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2246,c_2024]) ).
tcf(c_183399,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,sK376(k2_tarski(X0,X1)))
| r2_hidden(sK375(k2_tarski(X0,X1)),k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2256,c_2024]) ).
tcf(c_183400,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,sK376(k2_tarski(X0,X1)))
| ~ v3_ordinal1(sK375(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_2254,c_2024]) ).
tcf(c_183401,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k5_numbers)
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2334,c_2024]) ).
tcf(c_183402,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k2_numbers)
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_3060,c_2024]) ).
tcf(c_183403,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_xboole_0(X1,k2_tarski(X0,X2))),
inference(superposition,[status(thm)],[c_169158,c_2024]) ).
tcf(c_183404,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k3_relat_1(k6_partfun1(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_171630,c_2024]) ).
tcf(c_183406,plain,
! [X0: $i] :
( r2_hidden(np__0,X0)
| ~ r1_tarski(k1_zfmisc_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_1112,c_2024]) ).
tcf(c_183408,plain,
! [X0: $i] :
( r2_hidden(np__1,X0)
| ~ r1_tarski(k2_finseq_1(np__1),X0) ),
inference(superposition,[status(thm)],[c_57872,c_2024]) ).
tcf(c_183409,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k1_zfmisc_1(k2_xboole_0(X1,X0))),
inference(light_normalisation,[status(thm)],[c_183393,c_171034]) ).
tcf(c_183457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,k2_xboole_0(X3,X2))
| ~ r1_tarski(k2_tarski(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_537,c_2025]) ).
tcf(c_183458,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_xboole_0(k2_tarski(X1,X0),X2)),
inference(superposition,[status(thm)],[c_540,c_2025]) ).
tcf(c_183461,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_1193,c_2025]) ).
tcf(c_183462,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k1_zfmisc_1(k3_tarski(k2_tarski(X1,X0)))),
inference(superposition,[status(thm)],[c_1184,c_2025]) ).
tcf(c_183465,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k4_numbers)
| ~ v4_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2112,c_2025]) ).
tcf(c_183466,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k3_numbers)
| ~ v3_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2216,c_2025]) ).
tcf(c_183467,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k1_numbers)
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2246,c_2025]) ).
tcf(c_183468,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,sK376(k2_tarski(X0,X1)))
| r2_hidden(sK375(k2_tarski(X0,X1)),k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2256,c_2025]) ).
tcf(c_183469,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,sK376(k2_tarski(X0,X1)))
| ~ v3_ordinal1(sK375(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_2254,c_2025]) ).
tcf(c_183470,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k5_numbers)
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2334,c_2025]) ).
tcf(c_183471,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k2_numbers)
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_3060,c_2025]) ).
tcf(c_183472,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_xboole_0(X1,k2_tarski(X2,X0))),
inference(superposition,[status(thm)],[c_169158,c_2025]) ).
tcf(c_183473,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k3_relat_1(k6_partfun1(k2_tarski(X1,X0)))),
inference(superposition,[status(thm)],[c_171630,c_2025]) ).
tcf(c_183516,plain,
! [X0: $i] :
( r1_tarski(np__0,k1_card_1(X0))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_2055,c_2062]) ).
tcf(c_183517,plain,
! [X0: $i] :
( r1_tarski(k1_card_1(X0),np__0)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_2055,c_2062]) ).
tcf(c_183518,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_2062,c_1733]) ).
tcf(c_183519,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_2062,c_802]) ).
tcf(c_183520,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_2062,c_377]) ).
tcf(c_183521,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_card_1(X0),k1_card_1(X1)) ),
inference(superposition,[status(thm)],[c_2062,c_376]) ).
tcf(c_183545,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_183390,c_1718]) ).
tcf(c_183546,plain,
! [X0: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_183390,c_1270]) ).
tcf(c_183547,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),X0),
inference(superposition,[status(thm)],[c_183390,c_431]) ).
tcf(c_183550,plain,
! [X0: $i] : m1_subset_1(X0,k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_183390,c_421]) ).
tcf(c_183561,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_183550,c_1722]) ).
tcf(c_183562,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_183550,c_1721]) ).
tcf(c_183581,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_183550,c_78786]) ).
tcf(c_183590,plain,
! [X0: $i] : ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_125,c_183547]) ).
tcf(c_183591,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k2_xboole_0(X0,X1)),X0),
inference(superposition,[status(thm)],[c_550,c_183547]) ).
tcf(c_183592,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k2_xboole_0(X0,X1)),X1),
inference(superposition,[status(thm)],[c_551,c_183547]) ).
tcf(c_183593,plain,
~ v1_xreal_0(k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_2362,c_183547]) ).
tcf(c_183594,plain,
~ v1_int_1(k1_zfmisc_1(k4_numbers)),
inference(superposition,[status(thm)],[c_3086,c_183547]) ).
tcf(c_183597,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_183337,c_78840,c_183337]) ).
tcf(c_183604,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_183597,c_100]) ).
tcf(c_183605,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_183597,c_1723]) ).
tcf(c_183606,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_183597,c_1722]) ).
tcf(c_183607,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_183597,c_1721]) ).
tcf(c_183608,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_183597,c_425]) ).
tcf(c_183609,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_183597,c_423]) ).
tcf(c_183610,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_183597,c_78786]) ).
tcf(c_183622,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183609,c_121]) ).
tcf(c_183638,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_relat_1(sK356(sK135(X0))) = sK135(X0) ) ),
inference(superposition,[status(thm)],[c_760,c_2072]) ).
tcf(c_183639,plain,
! [X0: $i] :
( ( k2_relat_1(sK356(k1_card_1(X0))) = k1_card_1(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_777,c_2072]) ).
tcf(c_183640,plain,
! [X0: $i] :
( ( k2_relat_1(sK356(k1_relat_1(X0))) = k1_relat_1(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164056,c_2072]) ).
tcf(c_183641,plain,
! [X0: $i] :
( ( k2_relat_1(sK356(k2_relat_1(X0))) = k2_relat_1(X0) )
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_779,c_2072]) ).
tcf(c_183642,plain,
! [X0: $i] :
( ( k2_relat_1(sK356(k2_relat_1(X0))) = k2_relat_1(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164103,c_2072]) ).
tcf(c_183643,plain,
k2_relat_1(sK356(sK138)) = sK138,
inference(superposition,[status(thm)],[c_783,c_2072]) ).
tcf(c_183644,plain,
! [X0: $i] :
( ( k2_relat_1(sK356(k1_zfmisc_1(X0))) = k1_zfmisc_1(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_795,c_2072]) ).
tcf(c_183645,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(sK356(k4_xboole_0(X0,X1))) = k4_xboole_0(X0,X1) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_807,c_2072]) ).
tcf(c_183646,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_relat_1(sK356(sK141(X0))) = sK141(X0) ) ),
inference(superposition,[status(thm)],[c_805,c_2072]) ).
tcf(c_183647,plain,
! [X0: $i,X1: $i] : k2_relat_1(sK356(k2_tarski(X0,X1))) = k2_tarski(X0,X1),
inference(superposition,[status(thm)],[c_810,c_2072]) ).
tcf(c_183648,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_relat_1(sK356(sK142(X0))) = sK142(X0) ) ),
inference(superposition,[status(thm)],[c_813,c_2072]) ).
tcf(c_183649,plain,
k2_relat_1(sK356(sK143)) = sK143,
inference(superposition,[status(thm)],[c_818,c_2072]) ).
tcf(c_183650,plain,
k2_relat_1(sK356(sK357)) = sK357,
inference(superposition,[status(thm)],[c_2083,c_2072]) ).
tcf(c_183651,plain,
! [X0: $i] : k2_relat_1(sK356(sK358(X0))) = sK358(X0),
inference(superposition,[status(thm)],[c_2088,c_2072]) ).
tcf(c_183652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_relat_1(sK356(k2_enumset1(X0,X1,X2,X3))) = k2_enumset1(X0,X1,X2,X3),
inference(superposition,[status(thm)],[c_3422,c_2072]) ).
tcf(c_183653,plain,
k2_relat_1(sK356(np__0)) = np__0,
inference(superposition,[status(thm)],[c_163479,c_2072]) ).
tcf(c_183654,plain,
k2_relat_1(sK356(k1_zfmisc_1(np__0))) = k1_zfmisc_1(np__0),
inference(superposition,[status(thm)],[c_165600,c_2072]) ).
tcf(c_183655,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(sK356(k1_setfam_1(k2_tarski(X1,X0)))) = k1_setfam_1(k2_tarski(X1,X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_49628,c_2072]) ).
tcf(c_183656,plain,
k2_relat_1(sK356(sK43(k5_numbers))) = sK43(k5_numbers),
inference(superposition,[status(thm)],[c_164765,c_2072]) ).
tcf(c_183657,plain,
! [X0: $i] :
( ( k2_relat_1(sK356(k4_relat_1(X0))) = k4_relat_1(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164869,c_2072]) ).
tcf(c_183658,plain,
! [X0: $i] : k2_relat_1(sK356(sK43(k5_finsub_1(X0)))) = sK43(k5_finsub_1(X0)),
inference(superposition,[status(thm)],[c_165482,c_2072]) ).
tcf(c_183659,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| ( k2_relat_1(sK356(sK201(k5_finsub_1(X0)))) = sK201(k5_finsub_1(X0)) ) ),
inference(superposition,[status(thm)],[c_165648,c_2072]) ).
tcf(c_183660,plain,
( v1_relat_1(k5_numbers)
| ( k2_relat_1(sK356(sK201(k5_numbers))) = sK201(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_165656,c_2072]) ).
tcf(c_183661,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| ( k2_relat_1(sK356(sK255(k5_finsub_1(X0)))) = sK255(k5_finsub_1(X0)) ) ),
inference(superposition,[status(thm)],[c_165771,c_2072]) ).
tcf(c_183662,plain,
( v3_ordinal1(k5_numbers)
| ( k2_relat_1(sK356(sK377(k5_numbers))) = sK377(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_165966,c_2072]) ).
tcf(c_183663,plain,
( v1_realset1(k5_numbers)
| ( k2_relat_1(sK356(sK484(k5_numbers))) = sK484(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_166108,c_2072]) ).
tcf(c_183664,plain,
( v1_realset1(k5_numbers)
| ( k2_relat_1(sK356(sK485(k5_numbers))) = sK485(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_166227,c_2072]) ).
tcf(c_183665,plain,
k2_relat_1(sK356(k2_finseq_1(np__1))) = k2_finseq_1(np__1),
inference(superposition,[status(thm)],[c_168374,c_2072]) ).
tcf(c_183666,plain,
! [X0: $i] :
( ( k2_relat_1(sK356(sK137(X0))) = sK137(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_169664,c_2072]) ).
tcf(c_183667,plain,
! [X0: $i] :
( ( k2_relat_1(sK356(sK257(X0))) = sK257(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_170347,c_2072]) ).
tcf(c_183668,plain,
! [X0: $i] :
( ( k2_relat_1(sK356(sK385(X0))) = sK385(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_171282,c_2072]) ).
tcf(c_183669,plain,
( v1_realset1(k5_numbers)
| ( k2_relat_1(sK356(sK87(k5_numbers))) = sK87(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_173017,c_2072]) ).
tcf(c_183670,plain,
( v3_ordinal1(k5_numbers)
| ( k2_relat_1(sK356(sK87(k5_numbers))) = sK87(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_172826,c_2072]) ).
tcf(c_183671,plain,
( v1_relat_1(k5_numbers)
| ( k2_relat_1(sK356(sK87(k5_numbers))) = sK87(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_171389,c_2072]) ).
tcf(c_183672,plain,
( ( k2_relat_1(sK356(k4_classes1(np__0))) = k4_classes1(np__0) )
| ~ v2_classes1(np__0) ),
inference(superposition,[status(thm)],[c_173408,c_2072]) ).
tcf(c_183673,plain,
! [X0: $i] : k2_relat_1(sK356(k1_funct_2(X0,np__0))) = k1_funct_2(X0,np__0),
inference(superposition,[status(thm)],[c_177508,c_2072]) ).
tcf(c_183674,plain,
( ( k2_relat_1(sK356(sK87(k1_zfmisc_1(u1_struct_0(sK42))))) = sK87(k1_zfmisc_1(u1_struct_0(sK42))) )
| ~ v1_finset_1(u1_struct_0(sK42)) ),
inference(superposition,[status(thm)],[c_177485,c_2072]) ).
tcf(c_183675,plain,
k2_relat_1(sK356(sK43(k1_zfmisc_1(sK138)))) = sK43(k1_zfmisc_1(sK138)),
inference(superposition,[status(thm)],[c_179032,c_2072]) ).
tcf(c_183676,plain,
k2_relat_1(sK356(sK135(sK138))) = sK135(sK138),
inference(superposition,[status(thm)],[c_179067,c_2072]) ).
tcf(c_183677,plain,
k2_relat_1(sK356(sK43(k1_zfmisc_1(sK143)))) = sK43(k1_zfmisc_1(sK143)),
inference(superposition,[status(thm)],[c_179159,c_2072]) ).
tcf(c_183678,plain,
k2_relat_1(sK356(sK135(sK143))) = sK135(sK143),
inference(superposition,[status(thm)],[c_179195,c_2072]) ).
tcf(c_183679,plain,
k2_relat_1(sK356(sK43(k1_zfmisc_1(sK357)))) = sK43(k1_zfmisc_1(sK357)),
inference(superposition,[status(thm)],[c_179274,c_2072]) ).
tcf(c_183680,plain,
k2_relat_1(sK356(sK135(sK357))) = sK135(sK357),
inference(superposition,[status(thm)],[c_181346,c_2072]) ).
tcf(c_183901,plain,
! [X0: $i,X1: $i] :
( v4_membered(X0)
| ~ v4_membered(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168873,c_2107]) ).
tcf(c_183902,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_122,c_2107]) ).
tcf(c_183905,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_zfmisc_1(X0,X1))
| ~ v4_membered(k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))) ),
inference(superposition,[status(thm)],[c_505,c_2107]) ).
tcf(c_183906,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(X2)
| ~ r1_tarski(X2,X1)
| ~ v4_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_537,c_2107]) ).
tcf(c_183907,plain,
! [X0: $i,X1: $i] :
( v4_membered(X0)
| ~ v4_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_540,c_2107]) ).
tcf(c_183908,plain,
! [X0: $i] :
( v4_membered(k5_finsub_1(X0))
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_769,c_2107]) ).
tcf(c_183909,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_770,c_2107]) ).
tcf(c_183912,plain,
! [X0: $i] :
( v4_membered(k2_tarski(X0,X0))
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1102,c_2107]) ).
tcf(c_183913,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_tarski(X0,X0))
| ~ v4_membered(X1)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1108,c_2107]) ).
tcf(c_183914,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_1143,c_2107]) ).
tcf(c_183916,plain,
! [X0: $i,X1: $i] :
( v4_membered(X0)
| ~ v4_membered(k3_tarski(X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1193,c_2107]) ).
tcf(c_183917,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v4_membered(k1_zfmisc_1(k3_tarski(X0))) ),
inference(superposition,[status(thm)],[c_1184,c_2107]) ).
tcf(c_183918,plain,
! [X0: $i,X1: $i] :
( v4_membered(k3_tarski(X0))
| ~ v4_membered(k3_tarski(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1190,c_2107]) ).
tcf(c_183919,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_2062,c_2107]) ).
tcf(c_183921,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_1875,c_2107]) ).
tcf(c_183922,plain,
! [X0: $i,X1: $i] :
( v4_membered(k7_relat_1(X0,X1))
| ~ v4_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1929,c_2107]) ).
tcf(c_183923,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_1930,c_2107]) ).
tcf(c_183924,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_1974,c_2107]) ).
tcf(c_183925,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_tarski(X0,X0))
| ~ v4_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2037,c_2107]) ).
tcf(c_183926,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_tarski(X1,X1))
| ~ v4_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2020,c_2107]) ).
tcf(c_183928,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v4_membered(k3_numbers)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_2216,c_2107]) ).
tcf(c_183929,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v4_membered(k1_numbers)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2246,c_2107]) ).
tcf(c_183930,plain,
! [X0: $i] :
( v4_membered(X0)
| r2_hidden(sK375(X0),X0)
| ~ v4_membered(sK376(X0)) ),
inference(superposition,[status(thm)],[c_2256,c_2107]) ).
tcf(c_183931,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v3_ordinal1(sK375(X0))
| ~ v4_membered(sK376(X0)) ),
inference(superposition,[status(thm)],[c_2254,c_2107]) ).
tcf(c_183932,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v4_membered(k5_numbers)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2334,c_2107]) ).
tcf(c_183933,plain,
! [X0: $i] :
( v4_membered(k6_partfun1(X0))
| ~ v4_membered(k2_zfmisc_1(X0,X0)) ),
inference(superposition,[status(thm)],[c_2813,c_2107]) ).
tcf(c_183934,plain,
! [X0: $i] :
( v4_membered(k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v4_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2876,c_2107]) ).
tcf(c_183935,plain,
! [X0: $i] :
( v4_membered(k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v4_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2877,c_2107]) ).
tcf(c_183936,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v4_membered(k2_numbers)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3060,c_2107]) ).
tcf(c_183939,plain,
( v4_membered(k3_numbers)
| ~ v4_membered(k2_numbers) ),
inference(superposition,[status(thm)],[c_3070,c_2107]) ).
tcf(c_183940,plain,
( v4_membered(k1_numbers)
| ~ v4_membered(k2_numbers) ),
inference(superposition,[status(thm)],[c_3071,c_2107]) ).
tcf(c_183944,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(k5_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_3126,c_2107]) ).
tcf(c_183946,plain,
( v4_membered(k3_numbers)
| ~ v4_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_3146,c_2107]) ).
tcf(c_183947,plain,
! [X0: $i] :
( v4_membered(k4_classes1(k1_card_1(X0)))
| ~ v2_classes1(X0)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_3158,c_2107]) ).
tcf(c_183949,plain,
! [X0: $i] :
( v4_membered(k1_setfam_1(X0))
| ~ v4_membered(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_3412,c_2107]) ).
tcf(c_183950,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_funct_2(X0,X1))
| ~ v4_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_3467,c_2107]) ).
tcf(c_183951,plain,
! [X0: $i,X1: $i] :
( v4_membered(k8_relat_1(X1,X0))
| ~ v4_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3893,c_2107]) ).
tcf(c_183952,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_membered(sK54(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_168498,c_2107]) ).
tcf(c_183953,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_membered(sK141(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_168499,c_2107]) ).
tcf(c_183954,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_membered(sK142(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_168500,c_2107]) ).
tcf(c_183955,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k1_setfam_1(k2_tarski(X0,X2)))
| ~ v4_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_49625,c_2107]) ).
tcf(c_183956,plain,
! [X0: $i] :
( v4_membered(k1_setfam_1(k1_zfmisc_1(X0)))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_164196,c_2107]) ).
tcf(c_183957,plain,
! [X0: $i] :
( v4_membered(k1_zfmisc_1(np__0))
| ~ v4_membered(k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_166778,c_2107]) ).
tcf(c_183958,plain,
! [X0: $i] :
( v4_membered(k1_zfmisc_1(np__0))
| ~ v4_membered(k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_166781,c_2107]) ).
tcf(c_183959,plain,
! [X0: $i] :
( v4_membered(k2_finseq_1(np__1))
| ~ v4_membered(k2_tarski(np__1,X0)) ),
inference(superposition,[status(thm)],[c_168386,c_2107]) ).
tcf(c_183960,plain,
! [X0: $i] :
( v4_membered(k2_finseq_1(np__1))
| ~ v4_membered(k2_tarski(X0,np__1)) ),
inference(superposition,[status(thm)],[c_168387,c_2107]) ).
tcf(c_183961,plain,
( v4_membered(k2_finseq_1(np__1))
| ~ v4_membered(k1_zfmisc_1(np__1)) ),
inference(superposition,[status(thm)],[c_168397,c_2107]) ).
tcf(c_183962,plain,
! [X0: $i] :
( v4_membered(sK43(k1_zfmisc_1(X0)))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_168495,c_2107]) ).
tcf(c_183963,plain,
! [X0: $i,X1: $i] :
( v4_membered(X1)
| ~ v4_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_169158,c_2107]) ).
tcf(c_183964,plain,
! [X0: $i] :
( v4_membered(sK87(k1_zfmisc_1(X0)))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_178146,c_2107]) ).
tcf(c_183965,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v4_membered(k3_relat_1(k6_partfun1(X0))) ),
inference(superposition,[status(thm)],[c_171630,c_2107]) ).
tcf(c_183966,plain,
! [X0: $i] :
( v4_membered(k1_funct_2(X0,np__0))
| ~ v4_membered(k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173434,c_2107]) ).
tcf(c_183969,plain,
! [X0: $i] :
( v4_membered(k1_zfmisc_1(np__0))
| ~ v4_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_177394,c_2107]) ).
tcf(c_183970,plain,
( v4_membered(k1_zfmisc_1(np__0))
| ~ v4_membered(k1_zfmisc_1(sK138)) ),
inference(superposition,[status(thm)],[c_179027,c_2107]) ).
tcf(c_183971,plain,
( v4_membered(sK135(sK138))
| ~ v4_membered(sK138) ),
inference(superposition,[status(thm)],[c_179059,c_2107]) ).
tcf(c_183972,plain,
( v4_membered(k1_zfmisc_1(np__0))
| ~ v4_membered(k1_zfmisc_1(sK143)) ),
inference(superposition,[status(thm)],[c_179154,c_2107]) ).
tcf(c_183973,plain,
( v4_membered(sK135(sK143))
| ~ v4_membered(sK143) ),
inference(superposition,[status(thm)],[c_179186,c_2107]) ).
tcf(c_183974,plain,
( v4_membered(k1_zfmisc_1(np__0))
| ~ v4_membered(k1_zfmisc_1(sK357)) ),
inference(superposition,[status(thm)],[c_179269,c_2107]) ).
tcf(c_183975,plain,
( v4_membered(sK135(sK357))
| ~ v4_membered(sK357) ),
inference(superposition,[status(thm)],[c_179301,c_2107]) ).
tcf(c_184156,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK364(X0))
| ~ v5_membered(X0)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2111,c_1270]) ).
tcf(c_184157,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v4_membered(X0)
| ~ r2_hidden(X0,sK364(X0)) ),
inference(superposition,[status(thm)],[c_2111,c_431]) ).
tcf(c_184160,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK364(X0),X0)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2111,c_421]) ).
tcf(c_184161,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK364(k1_zfmisc_1(X0)),X0)
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_2111,c_126]) ).
tcf(c_184163,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r2_hidden(sK364(k4_xboole_0(X0,X1)),X0)
| ~ v4_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2111,c_1158]) ).
tcf(c_184164,plain,
( v1_xboole_0(k1_numbers)
| v1_xreal_0(sK364(k1_numbers))
| ~ v4_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_2111,c_2361]) ).
tcf(c_184165,plain,
( v1_xboole_0(k4_numbers)
| v1_int_1(sK364(k4_numbers))
| ~ v4_membered(k4_numbers) ),
inference(superposition,[status(thm)],[c_2111,c_3085]) ).
tcf(c_184166,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_funct_2(X0,X1))
| v1_funct_1(sK364(k1_funct_2(X0,X1)))
| ~ v4_membered(k1_funct_2(X0,X1)) ),
inference(superposition,[status(thm)],[c_2111,c_3470]) ).
tcf(c_184167,plain,
v1_int_1(sK364(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_184165,c_3094,c_2197]) ).
tcf(c_184168,plain,
( v1_xreal_0(sK364(k1_numbers))
| ~ v4_membered(k1_numbers) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184164,c_2048]) ).
tcf(c_184181,plain,
! [X0: $i] :
( r1_tarski(sK364(k1_zfmisc_1(X0)),X0)
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184161,c_121]) ).
tcf(c_184199,plain,
! [X0: $i,X1: $i] :
( v1_int_1(X0)
| ~ v4_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_125,c_2115]) ).
tcf(c_184200,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_int_1(sK85(X0,X1))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_398,c_2115]) ).
tcf(c_184202,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_int_1(X2)
| ~ r2_hidden(X2,X0)
| ~ v4_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_550,c_2115]) ).
tcf(c_184203,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_int_1(X2)
| ~ r2_hidden(X2,X1)
| ~ v4_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_551,c_2115]) ).
tcf(c_184204,plain,
! [X0: $i] :
( v1_int_1(sK122(X0))
| ( X0 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_654,c_2115]) ).
tcf(c_184205,plain,
! [X0: $i] :
( v1_int_1(sK124(X0))
| ( X0 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_660,c_2115]) ).
tcf(c_184206,plain,
! [X0: $i] :
( v1_int_1(sK125(X0))
| ( X0 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_662,c_2115]) ).
tcf(c_184207,plain,
! [X0: $i] :
( v1_int_1(sK126(X0))
| ( X0 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_664,c_2115]) ).
tcf(c_184208,plain,
! [X0: $i] :
( v1_int_1(sK127(X0))
| ( X0 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_666,c_2115]) ).
tcf(c_184209,plain,
! [X0: $i] :
( v1_int_1(sK128(X0))
| ( X0 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_668,c_2115]) ).
tcf(c_184210,plain,
! [X0: $i] :
( v1_int_1(sK129(X0))
| ( X0 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_670,c_2115]) ).
tcf(c_184211,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v1_int_1(sK131(X0,X1))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_732,c_2115]) ).
tcf(c_184212,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| v1_int_1(sK131(X1,X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_733,c_2115]) ).
tcf(c_184213,plain,
! [X0: $i] :
( v1_int_1(sK182(X0))
| ( X0 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1014,c_2115]) ).
tcf(c_184214,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| v1_int_1(sK188(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1026,c_2115]) ).
tcf(c_184215,plain,
! [X0: $i] :
( sP9(X0)
| v1_relat_1(X0)
| v1_int_1(sK188(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1024,c_2115]) ).
tcf(c_184216,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_int_1(sK201(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1045,c_2115]) ).
tcf(c_184217,plain,
! [X0: $i] :
( v1_int_1(sK231(X0))
| v4_membered(k3_tarski(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1162,c_2115]) ).
tcf(c_184218,plain,
! [X0: $i] :
( v1_int_1(sK232(X0))
| v3_membered(k3_tarski(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1164,c_2115]) ).
tcf(c_184219,plain,
! [X0: $i] :
( v1_int_1(sK233(X0))
| v2_membered(k3_tarski(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1166,c_2115]) ).
tcf(c_184220,plain,
! [X0: $i] :
( v1_int_1(sK234(X0))
| v1_membered(k3_tarski(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1168,c_2115]) ).
tcf(c_184221,plain,
! [X0: $i] :
( v1_int_1(sK236(X0))
| v3_ordinal1(k3_tarski(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1175,c_2115]) ).
tcf(c_184222,plain,
! [X0: $i,X1: $i] :
( v1_int_1(sK240(X0,X1))
| r1_xboole_0(k3_tarski(X0),X1)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1187,c_2115]) ).
tcf(c_184223,plain,
! [X0: $i,X1: $i] :
( v1_int_1(sK241(X0,X1))
| r1_tarski(k3_tarski(X0),X1)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1192,c_2115]) ).
tcf(c_184225,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_int_1(sK255(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1269,c_2115]) ).
tcf(c_184226,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_int_1(sK312(X0))
| ~ v4_membered(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1715,c_2115]) ).
tcf(c_184227,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_int_1(sK313(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1717,c_2115]) ).
tcf(c_184228,plain,
! [X0: $i,X1: $i] :
( v1_int_1(X0)
| ~ v4_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2045,c_2115]) ).
tcf(c_184229,plain,
! [X0: $i,X1: $i] :
( v1_int_1(X1)
| ~ v4_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2046,c_2115]) ).
tcf(c_184230,plain,
! [X0: $i] :
( v1_int_1(k1_card_1(X0))
| ~ v4_membered(k1_card_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_2056,c_2115]) ).
tcf(c_184233,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_int_1(sK372(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2248,c_2115]) ).
tcf(c_184234,plain,
! [X0: $i] :
( v1_int_1(sK374(X0))
| v3_ordinal1(sK374(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2253,c_2115]) ).
tcf(c_184235,plain,
! [X0: $i] :
( v1_int_1(sK375(X0))
| v3_ordinal1(sK376(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2257,c_2115]) ).
tcf(c_184236,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_int_1(sK377(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2259,c_2115]) ).
tcf(c_184237,plain,
! [X0: $i] :
( v1_int_1(sK381(X0))
| v5_membered(k3_tarski(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2332,c_2115]) ).
tcf(c_184238,plain,
! [X0: $i] :
( v1_int_1(X0)
| ~ v4_membered(k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_2362,c_2115]) ).
tcf(c_184239,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_int_1(sK484(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_3010,c_2115]) ).
tcf(c_184240,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_int_1(sK485(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_3011,c_2115]) ).
tcf(c_184241,plain,
! [X0: $i] :
( v1_int_1(np__0)
| v1_xboole_0(X0)
| ~ v1_classes2(X0)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_3075,c_2115]) ).
tcf(c_184243,plain,
! [X0: $i] :
( v1_int_1(X0)
| ~ v3_ordinal1(X0)
| ~ v4_membered(sK503(X0)) ),
inference(superposition,[status(thm)],[c_3180,c_2115]) ).
tcf(c_184244,plain,
! [X0: $i] :
( v1_int_1(sK535(X0))
| v3_ordinal1(k1_setfam_1(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_3401,c_2115]) ).
tcf(c_184245,plain,
! [X0: $i] :
( v1_int_1(X0)
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_183390,c_2115]) ).
tcf(c_184249,plain,
( v1_int_1(np__0)
| ~ v4_membered(k1_card_1(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_164343,c_2115]) ).
tcf(c_184250,plain,
! [X0: $i] :
( v1_int_1(np__0)
| ~ v4_membered(k2_xboole_0(X0,k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_165602,c_2115]) ).
tcf(c_184251,plain,
( v1_int_1(np__1)
| ~ v4_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_168404,c_2115]) ).
tcf(c_184252,plain,
! [X0: $i] :
( v1_int_1(np__1)
| ~ v4_membered(k2_xboole_0(X0,k2_finseq_1(np__1))) ),
inference(superposition,[status(thm)],[c_168396,c_2115]) ).
tcf(c_184253,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_int_1(sK87(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_177609,c_2115]) ).
tcf(c_184254,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_int_1(sK87(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_168917,c_2115]) ).
tcf(c_184255,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_int_1(sK87(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_168914,c_2115]) ).
tcf(c_184256,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_int_1(sK87(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_168911,c_2115]) ).
tcf(c_184258,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_int_1(sK87(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_168906,c_2115]) ).
tcf(c_184259,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_int_1(sK87(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_168905,c_2115]) ).
tcf(c_184260,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_int_1(sK87(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_168899,c_2115]) ).
tcf(c_184261,plain,
( v1_int_1(sK87(k1_numbers))
| ~ v4_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_176188,c_2115]) ).
tcf(c_184262,plain,
( v1_int_1(sK87(k2_finseq_1(np__1)))
| ~ v4_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_168925,c_2115]) ).
tcf(c_184263,plain,
! [X0: $i] :
( v1_int_1(np__0)
| ~ v4_membered(k2_xboole_0(k1_zfmisc_1(np__0),X0)) ),
inference(superposition,[status(thm)],[c_169173,c_2115]) ).
tcf(c_184264,plain,
! [X0: $i] :
( v1_int_1(np__1)
| ~ v4_membered(k2_xboole_0(k2_finseq_1(np__1),X0)) ),
inference(superposition,[status(thm)],[c_169444,c_2115]) ).
tcf(c_184265,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_int_1(sK43(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_175554,c_2115]) ).
tcf(c_184266,plain,
! [X0: $i] :
( v1_int_1(np__0)
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_175692,c_2115]) ).
tcf(c_184267,plain,
( v1_int_1(k5_numbers)
| ~ v4_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_175691,c_2115]) ).
tcf(c_184269,plain,
! [X0: $i] :
( v1_int_1(sK87(k1_zfmisc_1(X0)))
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_176198,c_2115]) ).
tcf(c_184270,plain,
( v1_int_1(sK135(sK138))
| ~ v4_membered(k1_zfmisc_1(sK138)) ),
inference(superposition,[status(thm)],[c_179062,c_2115]) ).
tcf(c_184271,plain,
( v1_int_1(sK135(sK143))
| ~ v4_membered(k1_zfmisc_1(sK143)) ),
inference(superposition,[status(thm)],[c_179189,c_2115]) ).
tcf(c_184272,plain,
( v1_int_1(sK135(sK357))
| ~ v4_membered(k1_zfmisc_1(sK357)) ),
inference(superposition,[status(thm)],[c_179304,c_2115]) ).
tcf(c_184625,plain,
v1_xreal_0(sK364(k4_numbers)),
inference(superposition,[status(thm)],[c_184167,c_1725]) ).
tcf(c_184626,plain,
v1_xcmplx_0(sK364(k4_numbers)),
inference(superposition,[status(thm)],[c_184167,c_1724]) ).
tcf(c_184681,plain,
! [X0: $i] :
( v1_xreal_0(sK87(k1_zfmisc_1(X0)))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_178145,c_1722]) ).
tcf(c_184682,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(X0)))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_178145,c_1721]) ).
tcf(c_184685,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),
inference(superposition,[status(thm)],[c_178145,c_96]) ).
tcf(c_184701,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_178145,c_78786]) ).
tcf(c_184713,plain,
( v1_xboole_0(sK87(k1_zfmisc_1(np__0)))
| ~ v1_classes2(sK87(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_3075,c_178150]) ).
tcf(c_184726,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_183581,c_1723]) ).
tcf(c_184727,plain,
! [X0: $i] :
( v1_xreal_0(u1_struct_0(sK81(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_183581,c_1722]) ).
tcf(c_184728,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_183581,c_1721]) ).
tcf(c_184729,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK81(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_183581,c_425]) ).
tcf(c_184730,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(u1_struct_0(sK81(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_183581,c_423]) ).
tcf(c_184731,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(X0))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_183581,c_78786]) ).
tcf(c_184741,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK81(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184730,c_121]) ).
tcf(c_184758,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v3_membered(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168873,c_2215]) ).
tcf(c_184759,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_122,c_2215]) ).
tcf(c_184762,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_zfmisc_1(X0,X1))
| ~ v3_membered(k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))) ),
inference(superposition,[status(thm)],[c_505,c_2215]) ).
tcf(c_184763,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(X2)
| ~ r1_tarski(X2,X1)
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_537,c_2215]) ).
tcf(c_184764,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_540,c_2215]) ).
tcf(c_184765,plain,
! [X0: $i] :
( v3_membered(k5_finsub_1(X0))
| ~ v3_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_769,c_2215]) ).
tcf(c_184766,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_770,c_2215]) ).
tcf(c_184769,plain,
! [X0: $i] :
( v3_membered(k2_tarski(X0,X0))
| ~ v3_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1102,c_2215]) ).
tcf(c_184770,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X0,X0))
| ~ v3_membered(X1)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1108,c_2215]) ).
tcf(c_184771,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_1143,c_2215]) ).
tcf(c_184773,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v3_membered(k3_tarski(X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1193,c_2215]) ).
tcf(c_184774,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v3_membered(k1_zfmisc_1(k3_tarski(X0))) ),
inference(superposition,[status(thm)],[c_1184,c_2215]) ).
tcf(c_184775,plain,
! [X0: $i,X1: $i] :
( v3_membered(k3_tarski(X0))
| ~ v3_membered(k3_tarski(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1190,c_2215]) ).
tcf(c_184776,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_2062,c_2215]) ).
tcf(c_184778,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_1875,c_2215]) ).
tcf(c_184779,plain,
! [X0: $i,X1: $i] :
( v3_membered(k7_relat_1(X0,X1))
| ~ v3_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1929,c_2215]) ).
tcf(c_184780,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_1930,c_2215]) ).
tcf(c_184781,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_1974,c_2215]) ).
tcf(c_184782,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X0,X0))
| ~ v3_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2037,c_2215]) ).
tcf(c_184783,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X1,X1))
| ~ v3_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2020,c_2215]) ).
tcf(c_184784,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v3_membered(k4_numbers)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2112,c_2215]) ).
tcf(c_184786,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v3_membered(k1_numbers)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2246,c_2215]) ).
tcf(c_184787,plain,
! [X0: $i] :
( v3_membered(X0)
| r2_hidden(sK375(X0),X0)
| ~ v3_membered(sK376(X0)) ),
inference(superposition,[status(thm)],[c_2256,c_2215]) ).
tcf(c_184788,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v3_ordinal1(sK375(X0))
| ~ v3_membered(sK376(X0)) ),
inference(superposition,[status(thm)],[c_2254,c_2215]) ).
tcf(c_184789,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v3_membered(k5_numbers)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2334,c_2215]) ).
tcf(c_184790,plain,
! [X0: $i] :
( v3_membered(k6_partfun1(X0))
| ~ v3_membered(k2_zfmisc_1(X0,X0)) ),
inference(superposition,[status(thm)],[c_2813,c_2215]) ).
tcf(c_184791,plain,
! [X0: $i] :
( v3_membered(k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v3_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2876,c_2215]) ).
tcf(c_184792,plain,
! [X0: $i] :
( v3_membered(k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v3_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2877,c_2215]) ).
tcf(c_184793,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v3_membered(k2_numbers)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3060,c_2215]) ).
tcf(c_184797,plain,
( v3_membered(k1_numbers)
| ~ v3_membered(k2_numbers) ),
inference(superposition,[status(thm)],[c_3071,c_2215]) ).
tcf(c_184801,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(k5_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_3126,c_2215]) ).
tcf(c_184804,plain,
! [X0: $i] :
( v3_membered(k4_classes1(k1_card_1(X0)))
| ~ v2_classes1(X0)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_3158,c_2215]) ).
tcf(c_184806,plain,
! [X0: $i] :
( v3_membered(k1_setfam_1(X0))
| ~ v3_membered(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_3412,c_2215]) ).
tcf(c_184807,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_funct_2(X0,X1))
| ~ v3_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_3467,c_2215]) ).
tcf(c_184808,plain,
! [X0: $i,X1: $i] :
( v3_membered(k8_relat_1(X1,X0))
| ~ v3_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3893,c_2215]) ).
tcf(c_184809,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v3_membered(sK54(X0))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_168498,c_2215]) ).
tcf(c_184810,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v3_membered(sK141(X0))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_168499,c_2215]) ).
tcf(c_184811,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v3_membered(sK142(X0))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_168500,c_2215]) ).
tcf(c_184812,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k1_setfam_1(k2_tarski(X0,X2)))
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_49625,c_2215]) ).
tcf(c_184813,plain,
! [X0: $i] :
( v3_membered(k1_setfam_1(k1_zfmisc_1(X0)))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_164196,c_2215]) ).
tcf(c_184814,plain,
! [X0: $i] :
( v3_membered(k1_zfmisc_1(np__0))
| ~ v3_membered(k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_166778,c_2215]) ).
tcf(c_184815,plain,
! [X0: $i] :
( v3_membered(k1_zfmisc_1(np__0))
| ~ v3_membered(k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_166781,c_2215]) ).
tcf(c_184816,plain,
! [X0: $i] :
( v3_membered(k2_finseq_1(np__1))
| ~ v3_membered(k2_tarski(np__1,X0)) ),
inference(superposition,[status(thm)],[c_168386,c_2215]) ).
tcf(c_184817,plain,
! [X0: $i] :
( v3_membered(k2_finseq_1(np__1))
| ~ v3_membered(k2_tarski(X0,np__1)) ),
inference(superposition,[status(thm)],[c_168387,c_2215]) ).
tcf(c_184818,plain,
( v3_membered(k2_finseq_1(np__1))
| ~ v3_membered(k1_zfmisc_1(np__1)) ),
inference(superposition,[status(thm)],[c_168397,c_2215]) ).
tcf(c_184819,plain,
! [X0: $i] :
( v3_membered(sK43(k1_zfmisc_1(X0)))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_168495,c_2215]) ).
tcf(c_184820,plain,
! [X0: $i,X1: $i] :
( v3_membered(X1)
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_169158,c_2215]) ).
tcf(c_184821,plain,
! [X0: $i] :
( v3_membered(sK87(k1_zfmisc_1(X0)))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_178146,c_2215]) ).
tcf(c_184822,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v3_membered(k3_relat_1(k6_partfun1(X0))) ),
inference(superposition,[status(thm)],[c_171630,c_2215]) ).
tcf(c_184823,plain,
! [X0: $i] :
( v3_membered(k1_funct_2(X0,np__0))
| ~ v3_membered(k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173434,c_2215]) ).
tcf(c_184826,plain,
! [X0: $i] :
( v3_membered(k1_zfmisc_1(np__0))
| ~ v3_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_177394,c_2215]) ).
tcf(c_184827,plain,
( v3_membered(k1_zfmisc_1(np__0))
| ~ v3_membered(k1_zfmisc_1(sK138)) ),
inference(superposition,[status(thm)],[c_179027,c_2215]) ).
tcf(c_184828,plain,
( v3_membered(sK135(sK138))
| ~ v3_membered(sK138) ),
inference(superposition,[status(thm)],[c_179059,c_2215]) ).
tcf(c_184829,plain,
( v3_membered(k1_zfmisc_1(np__0))
| ~ v3_membered(k1_zfmisc_1(sK143)) ),
inference(superposition,[status(thm)],[c_179154,c_2215]) ).
tcf(c_184830,plain,
( v3_membered(sK135(sK143))
| ~ v3_membered(sK143) ),
inference(superposition,[status(thm)],[c_179186,c_2215]) ).
tcf(c_184831,plain,
( v3_membered(k1_zfmisc_1(np__0))
| ~ v3_membered(k1_zfmisc_1(sK357)) ),
inference(superposition,[status(thm)],[c_179269,c_2215]) ).
tcf(c_184832,plain,
( v3_membered(sK135(sK357))
| ~ v3_membered(sK357) ),
inference(superposition,[status(thm)],[c_179301,c_2215]) ).
tcf(c_185038,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v2_membered(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168873,c_2241]) ).
tcf(c_185039,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_122,c_2241]) ).
tcf(c_185042,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_zfmisc_1(X0,X1))
| ~ v2_membered(k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))) ),
inference(superposition,[status(thm)],[c_505,c_2241]) ).
tcf(c_185043,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(X2)
| ~ r1_tarski(X2,X1)
| ~ v2_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_537,c_2241]) ).
tcf(c_185044,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v2_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_540,c_2241]) ).
tcf(c_185045,plain,
! [X0: $i] :
( v2_membered(k5_finsub_1(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_769,c_2241]) ).
tcf(c_185046,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_770,c_2241]) ).
tcf(c_185049,plain,
! [X0: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1102,c_2241]) ).
tcf(c_185050,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ v2_membered(X1)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1108,c_2241]) ).
tcf(c_185051,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_1143,c_2241]) ).
tcf(c_185053,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v2_membered(k3_tarski(X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1193,c_2241]) ).
tcf(c_185054,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v2_membered(k1_zfmisc_1(k3_tarski(X0))) ),
inference(superposition,[status(thm)],[c_1184,c_2241]) ).
tcf(c_185055,plain,
! [X0: $i,X1: $i] :
( v2_membered(k3_tarski(X0))
| ~ v2_membered(k3_tarski(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1190,c_2241]) ).
tcf(c_185056,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_2062,c_2241]) ).
tcf(c_185058,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_1875,c_2241]) ).
tcf(c_185059,plain,
! [X0: $i,X1: $i] :
( v2_membered(k7_relat_1(X0,X1))
| ~ v2_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1929,c_2241]) ).
tcf(c_185060,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_1930,c_2241]) ).
tcf(c_185061,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_1974,c_2241]) ).
tcf(c_185062,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2037,c_2241]) ).
tcf(c_185063,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X1,X1))
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2020,c_2241]) ).
tcf(c_185064,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v2_membered(k4_numbers)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2112,c_2241]) ).
tcf(c_185065,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v2_membered(k3_numbers)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_2216,c_2241]) ).
tcf(c_185067,plain,
! [X0: $i] :
( v2_membered(X0)
| r2_hidden(sK375(X0),X0)
| ~ v2_membered(sK376(X0)) ),
inference(superposition,[status(thm)],[c_2256,c_2241]) ).
tcf(c_185068,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v3_ordinal1(sK375(X0))
| ~ v2_membered(sK376(X0)) ),
inference(superposition,[status(thm)],[c_2254,c_2241]) ).
tcf(c_185069,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v2_membered(k5_numbers)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2334,c_2241]) ).
tcf(c_185070,plain,
! [X0: $i] :
( v2_membered(k6_partfun1(X0))
| ~ v2_membered(k2_zfmisc_1(X0,X0)) ),
inference(superposition,[status(thm)],[c_2813,c_2241]) ).
tcf(c_185071,plain,
! [X0: $i] :
( v2_membered(k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v2_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2876,c_2241]) ).
tcf(c_185072,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v2_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2877,c_2241]) ).
tcf(c_185073,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v2_membered(k2_numbers)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3060,c_2241]) ).
tcf(c_185081,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v2_membered(k5_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_3126,c_2241]) ).
tcf(c_185084,plain,
! [X0: $i] :
( v2_membered(k4_classes1(k1_card_1(X0)))
| ~ v2_classes1(X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3158,c_2241]) ).
tcf(c_185086,plain,
! [X0: $i] :
( v2_membered(k1_setfam_1(X0))
| ~ v2_membered(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_3412,c_2241]) ).
tcf(c_185087,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_funct_2(X0,X1))
| ~ v2_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_3467,c_2241]) ).
tcf(c_185088,plain,
! [X0: $i,X1: $i] :
( v2_membered(k8_relat_1(X1,X0))
| ~ v2_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3893,c_2241]) ).
tcf(c_185089,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v2_membered(sK54(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_168498,c_2241]) ).
tcf(c_185090,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v2_membered(sK141(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_168499,c_2241]) ).
tcf(c_185091,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v2_membered(sK142(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_168500,c_2241]) ).
tcf(c_185092,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X0,X2)))
| ~ v2_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_49625,c_2241]) ).
tcf(c_185093,plain,
! [X0: $i] :
( v2_membered(k1_setfam_1(k1_zfmisc_1(X0)))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_164196,c_2241]) ).
tcf(c_185096,plain,
! [X0: $i] :
( v2_membered(k2_finseq_1(np__1))
| ~ v2_membered(k2_tarski(np__1,X0)) ),
inference(superposition,[status(thm)],[c_168386,c_2241]) ).
tcf(c_185097,plain,
! [X0: $i] :
( v2_membered(k2_finseq_1(np__1))
| ~ v2_membered(k2_tarski(X0,np__1)) ),
inference(superposition,[status(thm)],[c_168387,c_2241]) ).
tcf(c_185098,plain,
( v2_membered(k2_finseq_1(np__1))
| ~ v2_membered(k1_zfmisc_1(np__1)) ),
inference(superposition,[status(thm)],[c_168397,c_2241]) ).
tcf(c_185099,plain,
! [X0: $i] :
( v2_membered(sK43(k1_zfmisc_1(X0)))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_168495,c_2241]) ).
tcf(c_185100,plain,
! [X0: $i,X1: $i] :
( v2_membered(X1)
| ~ v2_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_169158,c_2241]) ).
tcf(c_185101,plain,
! [X0: $i] :
( v2_membered(sK87(k1_zfmisc_1(X0)))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_178146,c_2241]) ).
tcf(c_185102,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v2_membered(k3_relat_1(k6_partfun1(X0))) ),
inference(superposition,[status(thm)],[c_171630,c_2241]) ).
tcf(c_185103,plain,
! [X0: $i] :
( v2_membered(k1_funct_2(X0,np__0))
| ~ v2_membered(k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173434,c_2241]) ).
tcf(c_185108,plain,
( v2_membered(sK135(sK138))
| ~ v2_membered(sK138) ),
inference(superposition,[status(thm)],[c_179059,c_2241]) ).
tcf(c_185110,plain,
( v2_membered(sK135(sK143))
| ~ v2_membered(sK143) ),
inference(superposition,[status(thm)],[c_179186,c_2241]) ).
tcf(c_185112,plain,
( v2_membered(sK135(sK357))
| ~ v2_membered(sK357) ),
inference(superposition,[status(thm)],[c_179301,c_2241]) ).
tcf(c_185139,plain,
! [X0: $i] : v2_membered(k1_funct_2(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_185103,c_166632]) ).
tcf(c_185333,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_int_1(sK371(X0))
| ~ v2_membered(X0)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2245,c_2115]) ).
tcf(c_185335,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK371(X0))
| ~ v5_membered(X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2245,c_1270]) ).
tcf(c_185336,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v2_membered(X0)
| ~ r2_hidden(X0,sK371(X0)) ),
inference(superposition,[status(thm)],[c_2245,c_431]) ).
tcf(c_185339,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK371(X0),X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2245,c_421]) ).
tcf(c_185340,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK371(k1_zfmisc_1(X0)),X0)
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_2245,c_126]) ).
tcf(c_185342,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r2_hidden(sK371(k4_xboole_0(X0,X1)),X0)
| ~ v2_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2245,c_1158]) ).
tcf(c_185343,plain,
( v1_xboole_0(k1_numbers)
| v1_xreal_0(sK371(k1_numbers))
| ~ v2_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_2245,c_2361]) ).
tcf(c_185344,plain,
( v1_xboole_0(k4_numbers)
| v1_int_1(sK371(k4_numbers))
| ~ v2_membered(k4_numbers) ),
inference(superposition,[status(thm)],[c_2245,c_3085]) ).
tcf(c_185345,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_funct_2(X0,X1))
| v1_funct_1(sK371(k1_funct_2(X0,X1)))
| ~ v2_membered(k1_funct_2(X0,X1)) ),
inference(superposition,[status(thm)],[c_2245,c_3470]) ).
tcf(c_185346,plain,
v1_int_1(sK371(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_185344,c_3094,c_2195]) ).
tcf(c_185347,plain,
v1_xreal_0(sK371(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_185343,c_2048,c_1770]) ).
tcf(c_185362,plain,
! [X0: $i] :
( r1_tarski(sK371(k1_zfmisc_1(X0)),X0)
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185340,c_121]) ).
tcf(c_185408,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_xreal_0(sK85(X0,X1))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_398,c_2249]) ).
tcf(c_185410,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xreal_0(X2)
| ~ r2_hidden(X2,X0)
| ~ v2_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_550,c_2249]) ).
tcf(c_185411,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xreal_0(X2)
| ~ r2_hidden(X2,X1)
| ~ v2_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_551,c_2249]) ).
tcf(c_185412,plain,
! [X0: $i] :
( v1_xreal_0(sK122(X0))
| ( X0 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_654,c_2249]) ).
tcf(c_185413,plain,
! [X0: $i] :
( v1_xreal_0(sK124(X0))
| ( X0 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_660,c_2249]) ).
tcf(c_185414,plain,
! [X0: $i] :
( v1_xreal_0(sK125(X0))
| ( X0 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_662,c_2249]) ).
tcf(c_185415,plain,
! [X0: $i] :
( v1_xreal_0(sK126(X0))
| ( X0 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_664,c_2249]) ).
tcf(c_185416,plain,
! [X0: $i] :
( v1_xreal_0(sK127(X0))
| ( X0 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_666,c_2249]) ).
tcf(c_185417,plain,
! [X0: $i] :
( v1_xreal_0(sK128(X0))
| ( X0 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_668,c_2249]) ).
tcf(c_185418,plain,
! [X0: $i] :
( v1_xreal_0(sK129(X0))
| ( X0 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_670,c_2249]) ).
tcf(c_185419,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v1_xreal_0(sK131(X0,X1))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_732,c_2249]) ).
tcf(c_185420,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| v1_xreal_0(sK131(X1,X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_733,c_2249]) ).
tcf(c_185421,plain,
! [X0: $i] :
( v1_xreal_0(sK182(X0))
| ( X0 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1014,c_2249]) ).
tcf(c_185422,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| v1_xreal_0(sK188(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1026,c_2249]) ).
tcf(c_185423,plain,
! [X0: $i] :
( sP9(X0)
| v1_relat_1(X0)
| v1_xreal_0(sK188(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1024,c_2249]) ).
tcf(c_185427,plain,
! [X0: $i] :
( v1_xreal_0(sK233(X0))
| v2_membered(k3_tarski(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1166,c_2249]) ).
tcf(c_185428,plain,
! [X0: $i] :
( v1_xreal_0(sK234(X0))
| v1_membered(k3_tarski(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1168,c_2249]) ).
tcf(c_185429,plain,
! [X0: $i] :
( v1_xreal_0(sK236(X0))
| v3_ordinal1(k3_tarski(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1175,c_2249]) ).
tcf(c_185430,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(sK240(X0,X1))
| r1_xboole_0(k3_tarski(X0),X1)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1187,c_2249]) ).
tcf(c_185431,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(sK241(X0,X1))
| r1_tarski(k3_tarski(X0),X1)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1192,c_2249]) ).
tcf(c_185434,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK312(X0))
| ~ v2_membered(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1715,c_2249]) ).
tcf(c_185439,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK364(X0))
| ~ v2_membered(X0)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2111,c_2249]) ).
tcf(c_185443,plain,
! [X0: $i] :
( v1_xreal_0(sK374(X0))
| v3_ordinal1(sK374(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2253,c_2249]) ).
tcf(c_185444,plain,
! [X0: $i] :
( v1_xreal_0(sK375(X0))
| v3_ordinal1(sK376(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2257,c_2249]) ).
tcf(c_185446,plain,
! [X0: $i] :
( v1_xreal_0(sK381(X0))
| v5_membered(k3_tarski(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2332,c_2249]) ).
tcf(c_185452,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ v3_ordinal1(X0)
| ~ v2_membered(sK503(X0)) ),
inference(superposition,[status(thm)],[c_3180,c_2249]) ).
tcf(c_185453,plain,
! [X0: $i] :
( v1_xreal_0(sK535(X0))
| v3_ordinal1(k1_setfam_1(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3401,c_2249]) ).
tcf(c_185462,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK87(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_177609,c_2249]) ).
tcf(c_185620,plain,
v1_xreal_0(sK371(k4_numbers)),
inference(superposition,[status(thm)],[c_185346,c_1725]) ).
tcf(c_185621,plain,
v1_xcmplx_0(sK371(k4_numbers)),
inference(superposition,[status(thm)],[c_185346,c_1724]) ).
tcf(c_185626,plain,
v1_xcmplx_0(sK371(k1_numbers)),
inference(superposition,[status(thm)],[c_185347,c_1732]) ).
tcf(c_185643,plain,
! [X0: $i] :
( sP7(sK43(X0))
| ~ v1_xboole_0(X0)
| ~ sP8(sK43(X0)) ),
inference(superposition,[status(thm)],[c_178189,c_920]) ).
tcf(c_185677,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_183610,c_78840,c_183610]) ).
tcf(c_185684,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_185677,c_100]) ).
tcf(c_185685,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_185677,c_1723]) ).
tcf(c_185686,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_185677,c_1722]) ).
tcf(c_185687,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_185677,c_1721]) ).
tcf(c_185688,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_185677,c_425]) ).
tcf(c_185689,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_185677,c_423]) ).
tcf(c_185690,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_185677,c_78786]) ).
tcf(c_185702,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185689,c_121]) ).
tcf(c_185726,plain,
! [X0: $i] :
( ~ v3_ordinal1(sK374(k1_zfmisc_1(X0)))
| ~ r1_tarski(sK374(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_125,c_2252]) ).
tcf(c_185727,plain,
! [X0: $i,X1: $i] :
( ~ v3_ordinal1(sK374(k2_xboole_0(X0,X1)))
| ~ r2_hidden(sK374(k2_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_550,c_2252]) ).
tcf(c_185728,plain,
! [X0: $i,X1: $i] :
( ~ v3_ordinal1(sK374(k2_xboole_0(X0,X1)))
| ~ r2_hidden(sK374(k2_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_551,c_2252]) ).
tcf(c_185730,plain,
( ~ v1_xreal_0(sK374(k1_numbers))
| ~ v3_ordinal1(sK374(k1_numbers)) ),
inference(superposition,[status(thm)],[c_2362,c_2252]) ).
tcf(c_185731,plain,
( ~ v1_int_1(sK374(k4_numbers))
| ~ v3_ordinal1(sK374(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3086,c_2252]) ).
tcf(c_185758,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(X0)
| ~ v3_ordinal1(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_125,c_2262]) ).
tcf(c_185759,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v3_ordinal1(sK85(X0,X1))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_398,c_2262]) ).
tcf(c_185761,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(X2)
| ~ r2_hidden(X2,X0)
| ~ v3_ordinal1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_550,c_2262]) ).
tcf(c_185762,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(X2)
| ~ r2_hidden(X2,X1)
| ~ v3_ordinal1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_551,c_2262]) ).
tcf(c_185763,plain,
! [X0: $i] :
( v3_ordinal1(sK122(X0))
| ( X0 = np__0 )
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_654,c_2262]) ).
tcf(c_185764,plain,
! [X0: $i] :
( v3_ordinal1(sK124(X0))
| ( X0 = np__0 )
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_660,c_2262]) ).
tcf(c_185765,plain,
! [X0: $i] :
( v3_ordinal1(sK125(X0))
| ( X0 = np__0 )
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_662,c_2262]) ).
tcf(c_185766,plain,
! [X0: $i] :
( v3_ordinal1(sK126(X0))
| ( X0 = np__0 )
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_664,c_2262]) ).
tcf(c_185767,plain,
! [X0: $i] :
( v3_ordinal1(sK127(X0))
| ( X0 = np__0 )
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_666,c_2262]) ).
tcf(c_185768,plain,
! [X0: $i] :
( v3_ordinal1(sK128(X0))
| ( X0 = np__0 )
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_668,c_2262]) ).
tcf(c_185769,plain,
! [X0: $i] :
( v3_ordinal1(sK129(X0))
| ( X0 = np__0 )
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_670,c_2262]) ).
tcf(c_185770,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v3_ordinal1(sK131(X0,X1))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_732,c_2262]) ).
tcf(c_185771,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| v3_ordinal1(sK131(X1,X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_733,c_2262]) ).
tcf(c_185772,plain,
! [X0: $i] :
( v3_ordinal1(sK182(X0))
| ( X0 = np__0 )
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_1014,c_2262]) ).
tcf(c_185773,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| v3_ordinal1(sK188(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_1026,c_2262]) ).
tcf(c_185774,plain,
! [X0: $i] :
( sP9(X0)
| v1_relat_1(X0)
| v3_ordinal1(sK188(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_1024,c_2262]) ).
tcf(c_185775,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v3_ordinal1(sK201(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_1045,c_2262]) ).
tcf(c_185776,plain,
! [X0: $i] :
( v3_ordinal1(sK231(X0))
| v4_membered(k3_tarski(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_1162,c_2262]) ).
tcf(c_185777,plain,
! [X0: $i] :
( v3_ordinal1(sK232(X0))
| v3_membered(k3_tarski(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_1164,c_2262]) ).
tcf(c_185778,plain,
! [X0: $i] :
( v3_ordinal1(sK233(X0))
| v2_membered(k3_tarski(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_1166,c_2262]) ).
tcf(c_185779,plain,
! [X0: $i] :
( v3_ordinal1(sK234(X0))
| v1_membered(k3_tarski(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_1168,c_2262]) ).
tcf(c_185781,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(sK240(X0,X1))
| r1_xboole_0(k3_tarski(X0),X1)
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_1187,c_2262]) ).
tcf(c_185782,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(sK241(X0,X1))
| r1_tarski(k3_tarski(X0),X1)
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_1192,c_2262]) ).
tcf(c_185783,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v3_ordinal1(sK254(X0))
| ~ v5_membered(X0)
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_1267,c_2262]) ).
tcf(c_185784,plain,
! [X0: $i] :
( v5_membered(X0)
| v3_ordinal1(sK255(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_1269,c_2262]) ).
tcf(c_185785,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v3_ordinal1(sK312(X0))
| ~ v3_ordinal1(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1715,c_2262]) ).
tcf(c_185786,plain,
! [X0: $i] :
( v1_membered(X0)
| v3_ordinal1(sK313(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_1717,c_2262]) ).
tcf(c_185787,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(X0)
| ~ v3_ordinal1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2045,c_2262]) ).
tcf(c_185788,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(X1)
| ~ v3_ordinal1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2046,c_2262]) ).
tcf(c_185789,plain,
! [X0: $i] :
( v3_ordinal1(k1_card_1(X0))
| ~ v3_ordinal1(k1_card_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_2056,c_2262]) ).
tcf(c_185790,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v3_ordinal1(sK364(X0))
| ~ v3_ordinal1(X0)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2111,c_2262]) ).
tcf(c_185791,plain,
! [X0: $i] :
( v4_membered(X0)
| v3_ordinal1(sK365(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_2114,c_2262]) ).
tcf(c_185792,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v3_ordinal1(sK371(X0))
| ~ v3_ordinal1(X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2245,c_2262]) ).
tcf(c_185793,plain,
! [X0: $i] :
( v2_membered(X0)
| v3_ordinal1(sK372(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_2248,c_2262]) ).
tcf(c_185794,plain,
! [X0: $i] :
( v3_ordinal1(sK374(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_2253,c_2262]) ).
tcf(c_185795,plain,
! [X0: $i] :
( v3_ordinal1(sK376(X0))
| v3_ordinal1(sK375(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_2257,c_2262]) ).
tcf(c_185797,plain,
! [X0: $i] :
( v5_membered(k3_tarski(X0))
| v3_ordinal1(sK381(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_2332,c_2262]) ).
tcf(c_185798,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v3_ordinal1(k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_2362,c_2262]) ).
tcf(c_185799,plain,
! [X0: $i] :
( v1_realset1(X0)
| v3_ordinal1(sK484(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_3010,c_2262]) ).
tcf(c_185800,plain,
! [X0: $i] :
( v1_realset1(X0)
| v3_ordinal1(sK485(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_3011,c_2262]) ).
tcf(c_185802,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v3_ordinal1(k4_numbers)
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_3086,c_2262]) ).
tcf(c_185804,plain,
! [X0: $i] :
( v3_ordinal1(sK535(X0))
| v3_ordinal1(k1_setfam_1(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_3401,c_2262]) ).
tcf(c_185811,plain,
( v3_ordinal1(np__1)
| ~ v3_ordinal1(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_168404,c_2262]) ).
tcf(c_185812,plain,
! [X0: $i] :
( v3_ordinal1(np__1)
| ~ v3_ordinal1(k2_xboole_0(X0,k2_finseq_1(np__1))) ),
inference(superposition,[status(thm)],[c_168396,c_2262]) ).
tcf(c_185813,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v3_ordinal1(sK87(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_177609,c_2262]) ).
tcf(c_185814,plain,
! [X0: $i] :
( v1_realset1(X0)
| v3_ordinal1(sK87(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_168917,c_2262]) ).
tcf(c_185816,plain,
! [X0: $i] :
( v2_membered(X0)
| v3_ordinal1(sK87(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_168911,c_2262]) ).
tcf(c_185817,plain,
! [X0: $i] :
( v4_membered(X0)
| v3_ordinal1(sK87(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_168910,c_2262]) ).
tcf(c_185818,plain,
! [X0: $i] :
( v1_membered(X0)
| v3_ordinal1(sK87(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_168906,c_2262]) ).
tcf(c_185819,plain,
! [X0: $i] :
( v5_membered(X0)
| v3_ordinal1(sK87(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_168905,c_2262]) ).
tcf(c_185820,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v3_ordinal1(sK87(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_168899,c_2262]) ).
tcf(c_185821,plain,
( v3_ordinal1(sK87(k1_numbers))
| ~ v3_ordinal1(k1_numbers) ),
inference(superposition,[status(thm)],[c_176188,c_2262]) ).
tcf(c_185822,plain,
( v3_ordinal1(sK87(k2_finseq_1(np__1)))
| ~ v3_ordinal1(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_168925,c_2262]) ).
tcf(c_185824,plain,
! [X0: $i] :
( v3_ordinal1(np__1)
| ~ v3_ordinal1(k2_xboole_0(k2_finseq_1(np__1),X0)) ),
inference(superposition,[status(thm)],[c_169444,c_2262]) ).
tcf(c_185825,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v3_ordinal1(sK43(X0))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_175554,c_2262]) ).
tcf(c_185827,plain,
( v3_ordinal1(k5_numbers)
| ~ v3_ordinal1(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_175691,c_2262]) ).
tcf(c_185828,plain,
( v3_ordinal1(sK314)
| ~ v3_ordinal1(k1_numbers) ),
inference(superposition,[status(thm)],[c_175686,c_2262]) ).
tcf(c_185829,plain,
! [X0: $i] :
( v3_ordinal1(sK87(k1_zfmisc_1(X0)))
| ~ v3_ordinal1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_176198,c_2262]) ).
tcf(c_185830,plain,
( v3_ordinal1(sK135(sK138))
| ~ v3_ordinal1(k1_zfmisc_1(sK138)) ),
inference(superposition,[status(thm)],[c_179062,c_2262]) ).
tcf(c_185831,plain,
( v3_ordinal1(sK135(sK143))
| ~ v3_ordinal1(k1_zfmisc_1(sK143)) ),
inference(superposition,[status(thm)],[c_179189,c_2262]) ).
tcf(c_185832,plain,
( v3_ordinal1(sK135(sK357))
| ~ v3_ordinal1(k1_zfmisc_1(sK357)) ),
inference(superposition,[status(thm)],[c_179304,c_2262]) ).
tcf(c_186274,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| v1_xreal_0(sK379(X0))
| ~ v3_ordinal1(X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2271,c_2249]) ).
tcf(c_186275,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| v1_int_1(sK379(X0))
| ~ v3_ordinal1(X0)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2271,c_2115]) ).
tcf(c_186276,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| v1_xcmplx_0(sK379(X0))
| ~ v3_ordinal1(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2271,c_1718]) ).
tcf(c_186277,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| v4_ordinal2(sK379(X0))
| ~ v5_membered(X0)
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_2271,c_1270]) ).
tcf(c_186278,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| ~ v3_ordinal1(X0)
| ~ r2_hidden(X0,sK379(X0)) ),
inference(superposition,[status(thm)],[c_2271,c_431]) ).
tcf(c_186279,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| r2_hidden(sK87(X0),X0)
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_2271,c_427]) ).
tcf(c_186280,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| ~ v3_ordinal1(X0)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_2271,c_426]) ).
tcf(c_186281,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| m1_subset_1(sK379(X0),X0)
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_2271,c_421]) ).
tcf(c_186282,plain,
! [X0: $i] :
( v4_ordinal1(k1_zfmisc_1(X0))
| r1_tarski(sK379(k1_zfmisc_1(X0)),X0)
| ~ v3_ordinal1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_2271,c_126]) ).
tcf(c_186284,plain,
! [X0: $i,X1: $i] :
( v4_ordinal1(k4_xboole_0(X0,X1))
| r2_hidden(sK379(k4_xboole_0(X0,X1)),X0)
| ~ v3_ordinal1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2271,c_1158]) ).
tcf(c_186285,plain,
( v4_ordinal1(k1_numbers)
| v1_xreal_0(sK379(k1_numbers))
| ~ v3_ordinal1(k1_numbers) ),
inference(superposition,[status(thm)],[c_2271,c_2361]) ).
tcf(c_186286,plain,
( v4_ordinal1(k4_numbers)
| v1_int_1(sK379(k4_numbers))
| ~ v3_ordinal1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2271,c_3085]) ).
tcf(c_186287,plain,
! [X0: $i,X1: $i] :
( v4_ordinal1(k1_funct_2(X0,X1))
| v1_funct_1(sK379(k1_funct_2(X0,X1)))
| ~ v3_ordinal1(k1_funct_2(X0,X1)) ),
inference(superposition,[status(thm)],[c_2271,c_3470]) ).
tcf(c_186338,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k2_enumset1(X0,X1,X2,k2_enumset1(X0,X0,X1,X2)))
| ~ v3_ordinal1(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_53,c_2274]) ).
tcf(c_186339,plain,
( v3_ordinal1(k2_tarski(np__0,np__0))
| ~ v3_ordinal1(np__0) ),
inference(superposition,[status(thm)],[c_169170,c_2274]) ).
tcf(c_186340,plain,
( v3_ordinal1(k2_xboole_0(np__0,k1_zfmisc_1(np__0)))
| ~ v3_ordinal1(np__0) ),
inference(superposition,[status(thm)],[c_1112,c_2274]) ).
tcf(c_186341,plain,
( v3_ordinal1(k2_xboole_0(np__1,k2_finseq_1(np__1)))
| ~ v3_ordinal1(np__1) ),
inference(superposition,[status(thm)],[c_57872,c_2274]) ).
tcf(c_186342,plain,
( v3_ordinal1(k1_zfmisc_1(np__0))
| ~ v3_ordinal1(np__0) ),
inference(light_normalisation,[status(thm)],[c_186339,c_1112]) ).
tcf(c_186343,plain,
v3_ordinal1(k1_zfmisc_1(np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_186342,c_2260]) ).
tcf(c_186346,plain,
v3_ordinal1(k2_xboole_0(np__0,k1_zfmisc_1(np__0))),
inference(forward_subsumption_resolution,[status(thm)],[c_186340,c_2260]) ).
tcf(c_186372,plain,
! [X0: $i] :
( ( k2_relat_1(sK356(sK43(X0))) = sK43(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_178196,c_2072]) ).
tcf(c_186373,plain,
! [X0: $i] :
( ( k1_zfmisc_1(sK43(X0)) = k5_finsub_1(sK43(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_178196,c_768]) ).
tcf(c_186385,plain,
! [X0: $i] :
( ( k10_relat_1(sK43(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_178197,c_1970]) ).
tcf(c_186386,plain,
! [X0: $i] :
( ( k7_relat_1(sK43(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_178197,c_1911]) ).
tcf(c_186387,plain,
! [X0: $i] :
( ( k9_relat_1(sK43(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_178197,c_1870]) ).
tcf(c_186388,plain,
! [X0: $i] :
( ( k5_relat_1(sK43(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_178197,c_968]) ).
tcf(c_186389,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,sK43(X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_178197,c_967]) ).
tcf(c_186390,plain,
! [X0: $i] :
( sP8(sK43(X0))
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(sK43(X0)) ),
inference(superposition,[status(thm)],[c_178197,c_931]) ).
tcf(c_186419,plain,
! [X0: $i] :
( r1_tarski(sK87(k1_zfmisc_1(u1_struct_0(sK81(X0)))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_184701,c_100]) ).
tcf(c_186420,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(X0)))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_184701,c_1723]) ).
tcf(c_186421,plain,
! [X0: $i] :
( v1_xreal_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(X0)))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_184701,c_1722]) ).
tcf(c_186422,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(X0)))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_184701,c_1721]) ).
tcf(c_186423,plain,
! [X0: $i] :
( v1_xboole_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(X0)))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_184701,c_425]) ).
tcf(c_186424,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_184701,c_423]) ).
tcf(c_186425,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_184701,c_78786]) ).
tcf(c_186437,plain,
! [X0: $i] :
( r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186424,c_121]) ).
tcf(c_186449,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_53,c_2275]) ).
tcf(c_186450,plain,
k2_tarski(np__0,np__0) != np__0,
inference(superposition,[status(thm)],[c_169170,c_2275]) ).
tcf(c_186451,plain,
k2_xboole_0(np__0,k1_zfmisc_1(np__0)) != np__0,
inference(superposition,[status(thm)],[c_1112,c_2275]) ).
tcf(c_186452,plain,
k2_xboole_0(np__1,k2_finseq_1(np__1)) != np__1,
inference(superposition,[status(thm)],[c_57872,c_2275]) ).
tcf(c_186461,plain,
! [X0: $i,X1: $i] :
( v5_membered(X0)
| ~ v5_membered(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168873,c_2333]) ).
tcf(c_186462,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_122,c_2333]) ).
tcf(c_186465,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_zfmisc_1(X0,X1))
| ~ v5_membered(k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))) ),
inference(superposition,[status(thm)],[c_505,c_2333]) ).
tcf(c_186466,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(X2)
| ~ r1_tarski(X2,X1)
| ~ v5_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_537,c_2333]) ).
tcf(c_186467,plain,
! [X0: $i,X1: $i] :
( v5_membered(X0)
| ~ v5_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_540,c_2333]) ).
tcf(c_186468,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_769,c_2333]) ).
tcf(c_186469,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_770,c_2333]) ).
tcf(c_186472,plain,
! [X0: $i] :
( v5_membered(k2_tarski(X0,X0))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1102,c_2333]) ).
tcf(c_186473,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_tarski(X0,X0))
| ~ v5_membered(X1)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1108,c_2333]) ).
tcf(c_186474,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_1143,c_2333]) ).
tcf(c_186476,plain,
! [X0: $i,X1: $i] :
( v5_membered(X0)
| ~ v5_membered(k3_tarski(X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1193,c_2333]) ).
tcf(c_186477,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v5_membered(k1_zfmisc_1(k3_tarski(X0))) ),
inference(superposition,[status(thm)],[c_1184,c_2333]) ).
tcf(c_186478,plain,
! [X0: $i,X1: $i] :
( v5_membered(k3_tarski(X0))
| ~ v5_membered(k3_tarski(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1190,c_2333]) ).
tcf(c_186479,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_2062,c_2333]) ).
tcf(c_186481,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_1875,c_2333]) ).
tcf(c_186482,plain,
! [X0: $i,X1: $i] :
( v5_membered(k7_relat_1(X0,X1))
| ~ v5_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1929,c_2333]) ).
tcf(c_186483,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_1930,c_2333]) ).
tcf(c_186484,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_1974,c_2333]) ).
tcf(c_186485,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_tarski(X0,X0))
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2037,c_2333]) ).
tcf(c_186486,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_tarski(X1,X1))
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2020,c_2333]) ).
tcf(c_186487,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v5_membered(k4_numbers)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2112,c_2333]) ).
tcf(c_186488,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v5_membered(k3_numbers)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_2216,c_2333]) ).
tcf(c_186489,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v5_membered(k1_numbers)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2246,c_2333]) ).
tcf(c_186490,plain,
! [X0: $i] :
( v5_membered(X0)
| r2_hidden(sK375(X0),X0)
| ~ v5_membered(sK376(X0)) ),
inference(superposition,[status(thm)],[c_2256,c_2333]) ).
tcf(c_186491,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v5_membered(sK376(X0))
| ~ v3_ordinal1(sK375(X0)) ),
inference(superposition,[status(thm)],[c_2254,c_2333]) ).
tcf(c_186493,plain,
! [X0: $i] :
( v5_membered(k6_partfun1(X0))
| ~ v5_membered(k2_zfmisc_1(X0,X0)) ),
inference(superposition,[status(thm)],[c_2813,c_2333]) ).
tcf(c_186494,plain,
! [X0: $i] :
( v5_membered(k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v5_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2876,c_2333]) ).
tcf(c_186495,plain,
! [X0: $i] :
( v5_membered(k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v5_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2877,c_2333]) ).
tcf(c_186496,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v5_membered(k2_numbers)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3060,c_2333]) ).
tcf(c_186498,plain,
( v5_membered(k4_numbers)
| ~ v5_membered(k2_numbers) ),
inference(superposition,[status(thm)],[c_3069,c_2333]) ).
tcf(c_186499,plain,
( v5_membered(k3_numbers)
| ~ v5_membered(k2_numbers) ),
inference(superposition,[status(thm)],[c_3070,c_2333]) ).
tcf(c_186500,plain,
( v5_membered(k1_numbers)
| ~ v5_membered(k2_numbers) ),
inference(superposition,[status(thm)],[c_3071,c_2333]) ).
tcf(c_186502,plain,
( v5_membered(k4_numbers)
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_3092,c_2333]) ).
tcf(c_186503,plain,
( v5_membered(k4_numbers)
| ~ v5_membered(k3_numbers) ),
inference(superposition,[status(thm)],[c_3093,c_2333]) ).
tcf(c_186504,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(k5_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_3126,c_2333]) ).
tcf(c_186506,plain,
( v5_membered(k3_numbers)
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_3146,c_2333]) ).
tcf(c_186507,plain,
! [X0: $i] :
( v5_membered(k4_classes1(k1_card_1(X0)))
| ~ v2_classes1(X0)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_3158,c_2333]) ).
tcf(c_186509,plain,
! [X0: $i] :
( v5_membered(k1_setfam_1(X0))
| ~ v5_membered(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_3412,c_2333]) ).
tcf(c_186510,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_funct_2(X0,X1))
| ~ v5_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_3467,c_2333]) ).
tcf(c_186511,plain,
! [X0: $i,X1: $i] :
( v5_membered(k8_relat_1(X1,X0))
| ~ v5_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3893,c_2333]) ).
tcf(c_186512,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v5_membered(sK54(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_168498,c_2333]) ).
tcf(c_186513,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v5_membered(sK141(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_168499,c_2333]) ).
tcf(c_186514,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v5_membered(sK142(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_168500,c_2333]) ).
tcf(c_186515,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k1_setfam_1(k2_tarski(X0,X2)))
| ~ v5_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_49625,c_2333]) ).
tcf(c_186516,plain,
! [X0: $i] :
( v5_membered(k1_setfam_1(k1_zfmisc_1(X0)))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_164196,c_2333]) ).
tcf(c_186517,plain,
! [X0: $i] :
( v5_membered(k1_zfmisc_1(np__0))
| ~ v5_membered(k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_166778,c_2333]) ).
tcf(c_186518,plain,
! [X0: $i] :
( v5_membered(k1_zfmisc_1(np__0))
| ~ v5_membered(k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_166781,c_2333]) ).
tcf(c_186519,plain,
! [X0: $i] :
( v5_membered(k2_finseq_1(np__1))
| ~ v5_membered(k2_tarski(np__1,X0)) ),
inference(superposition,[status(thm)],[c_168386,c_2333]) ).
tcf(c_186520,plain,
! [X0: $i] :
( v5_membered(k2_finseq_1(np__1))
| ~ v5_membered(k2_tarski(X0,np__1)) ),
inference(superposition,[status(thm)],[c_168387,c_2333]) ).
tcf(c_186521,plain,
( v5_membered(k2_finseq_1(np__1))
| ~ v5_membered(k1_zfmisc_1(np__1)) ),
inference(superposition,[status(thm)],[c_168397,c_2333]) ).
tcf(c_186522,plain,
! [X0: $i] :
( v5_membered(sK43(k1_zfmisc_1(X0)))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_168495,c_2333]) ).
tcf(c_186523,plain,
! [X0: $i,X1: $i] :
( v5_membered(X1)
| ~ v5_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_169158,c_2333]) ).
tcf(c_186524,plain,
! [X0: $i] :
( v5_membered(sK87(k1_zfmisc_1(X0)))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_178146,c_2333]) ).
tcf(c_186525,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v5_membered(k3_relat_1(k6_partfun1(X0))) ),
inference(superposition,[status(thm)],[c_171630,c_2333]) ).
tcf(c_186526,plain,
! [X0: $i] :
( v5_membered(k1_funct_2(X0,np__0))
| ~ v5_membered(k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173434,c_2333]) ).
tcf(c_186529,plain,
! [X0: $i] :
( v5_membered(k1_zfmisc_1(np__0))
| ~ v5_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_177394,c_2333]) ).
tcf(c_186530,plain,
( v5_membered(k1_zfmisc_1(np__0))
| ~ v5_membered(k1_zfmisc_1(sK138)) ),
inference(superposition,[status(thm)],[c_179027,c_2333]) ).
tcf(c_186531,plain,
( v5_membered(sK135(sK138))
| ~ v5_membered(sK138) ),
inference(superposition,[status(thm)],[c_179059,c_2333]) ).
tcf(c_186532,plain,
( v5_membered(k1_zfmisc_1(np__0))
| ~ v5_membered(k1_zfmisc_1(sK143)) ),
inference(superposition,[status(thm)],[c_179154,c_2333]) ).
tcf(c_186533,plain,
( v5_membered(sK135(sK143))
| ~ v5_membered(sK143) ),
inference(superposition,[status(thm)],[c_179186,c_2333]) ).
tcf(c_186534,plain,
( v5_membered(k1_zfmisc_1(np__0))
| ~ v5_membered(k1_zfmisc_1(sK357)) ),
inference(superposition,[status(thm)],[c_179269,c_2333]) ).
tcf(c_186535,plain,
( v5_membered(sK135(sK357))
| ~ v5_membered(sK357) ),
inference(superposition,[status(thm)],[c_179301,c_2333]) ).
tcf(c_186718,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(np__0),k2_enumset1(np__0,np__0,np__0,X0)),
inference(superposition,[status(thm)],[c_1112,c_2339]) ).
tcf(c_186719,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X1,X1,X0,X2)),
inference(superposition,[status(thm)],[c_2041,c_2339]) ).
tcf(c_186720,plain,
! [X0: $i] : r1_tarski(k2_finseq_1(np__1),k2_enumset1(np__1,np__1,np__1,X0)),
inference(superposition,[status(thm)],[c_57872,c_2339]) ).
tcf(c_186721,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_2339,c_2333]) ).
tcf(c_186722,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_2339,c_2241]) ).
tcf(c_186723,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_2339,c_2215]) ).
tcf(c_186724,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_2339,c_2107]) ).
tcf(c_186725,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_2339,c_1733]) ).
tcf(c_186727,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_2339,c_377]) ).
tcf(c_186728,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_enumset1(X0,X0,X1,X2),k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_2339,c_376]) ).
tcf(c_186729,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_enumset1(X1,X1,X0,X2)),
inference(superposition,[status(thm)],[c_2339,c_2025]) ).
tcf(c_186730,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_enumset1(X0,X0,X1,X2)),
inference(superposition,[status(thm)],[c_2339,c_2024]) ).
tcf(c_186751,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_zfmisc_1(np__0),k2_enumset1(np__0,np__0,X0,X1)),
inference(superposition,[status(thm)],[c_1112,c_2340]) ).
tcf(c_186752,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_finseq_1(np__1),k2_enumset1(np__1,np__1,X0,X1)),
inference(superposition,[status(thm)],[c_57872,c_2340]) ).
tcf(c_186753,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k2_tarski(X0,X0))
| ~ v5_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2340,c_2333]) ).
tcf(c_186754,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ v2_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2340,c_2241]) ).
tcf(c_186755,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k2_tarski(X0,X0))
| ~ v3_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2340,c_2215]) ).
tcf(c_186756,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k2_tarski(X0,X0))
| ~ v4_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2340,c_2107]) ).
tcf(c_186757,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v1_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2340,c_1733]) ).
tcf(c_186758,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_tarski(X0,X0))
| ~ v1_finset_1(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2340,c_802]) ).
tcf(c_186759,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k2_tarski(X0,X0))
| ~ v1_relat_1(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2340,c_377]) ).
tcf(c_186760,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_enumset1(X0,X0,X1,X2),k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_2340,c_376]) ).
tcf(c_186800,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(X0))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_184731,c_78840,c_184731]) ).
tcf(c_186807,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK81(sK81(X0))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_186800,c_100]) ).
tcf(c_186808,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(X0))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_186800,c_1723]) ).
tcf(c_186809,plain,
! [X0: $i] :
( v1_xreal_0(u1_struct_0(sK81(sK81(X0))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_186800,c_1722]) ).
tcf(c_186810,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(X0))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_186800,c_1721]) ).
tcf(c_186811,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK81(sK81(X0))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_186800,c_425]) ).
tcf(c_186812,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(u1_struct_0(sK81(sK81(X0))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_186800,c_423]) ).
tcf(c_186813,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_186800,c_78786]) ).
tcf(c_186825,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK81(sK81(X0))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186812,c_121]) ).
tcf(c_186843,plain,
! [X0: $i] :
( v1_finset_1(k2_finseq_1(sK257(X0)))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1304,c_2395]) ).
tcf(c_186844,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k2_zfmisc_1(X0,X0)) ),
inference(superposition,[status(thm)],[c_2366,c_2395]) ).
tcf(c_186845,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_funct_2(k2_tarski(X1,X1),X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2391,c_2395]) ).
tcf(c_186847,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(X1,X1))
| ~ v1_finset_1(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_2401,c_2395]) ).
tcf(c_186851,plain,
! [X0: $i] :
( v1_finset_1(sK387(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2417,c_2395]) ).
tcf(c_186852,plain,
! [X0: $i] :
( v1_finset_1(k1_funct_2(k1_zfmisc_1(np__0),X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_167806,c_2395]) ).
tcf(c_186853,plain,
! [X0: $i] :
( v1_finset_1(k2_tarski(X0,X0))
| ~ v1_finset_1(k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_167907,c_2395]) ).
tcf(c_186858,plain,
! [X0: $i] :
( v1_finset_1(k2_tarski(X0,X0))
| ~ v1_finset_1(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_168380,c_2395]) ).
tcf(c_186860,plain,
! [X0: $i] :
( v1_finset_1(k1_funct_2(k2_finseq_1(np__1),X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_168400,c_2395]) ).
tcf(c_186884,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X0,X1)
| ~ r2_wellord2(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_122,c_2406]) ).
tcf(c_186886,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_tarski(k1_zfmisc_1(X0),X2)
| ~ r2_wellord2(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_537,c_2406]) ).
tcf(c_186887,plain,
! [X0: $i,X1: $i] : ~ r2_wellord2(X0,k2_xboole_0(k1_zfmisc_1(X0),X1)),
inference(superposition,[status(thm)],[c_540,c_2406]) ).
tcf(c_186888,plain,
! [X0: $i,X1: $i] :
( ~ r2_wellord2(X0,k3_tarski(X1))
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_1193,c_2406]) ).
tcf(c_186889,plain,
! [X0: $i] : ~ r2_wellord2(X0,k1_zfmisc_1(k3_tarski(k1_zfmisc_1(X0)))),
inference(superposition,[status(thm)],[c_1184,c_2406]) ).
tcf(c_186890,plain,
! [X0: $i] :
( ~ r2_wellord2(X0,k4_numbers)
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_2112,c_2406]) ).
tcf(c_186891,plain,
! [X0: $i] :
( ~ r2_wellord2(X0,k3_numbers)
| ~ v3_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_2216,c_2406]) ).
tcf(c_186892,plain,
! [X0: $i] :
( ~ r2_wellord2(X0,k1_numbers)
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_2246,c_2406]) ).
tcf(c_186893,plain,
! [X0: $i] :
( r2_hidden(sK375(k1_zfmisc_1(X0)),k1_zfmisc_1(X0))
| ~ r2_wellord2(X0,sK376(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_2256,c_2406]) ).
tcf(c_186894,plain,
! [X0: $i] :
( ~ v3_ordinal1(sK375(k1_zfmisc_1(X0)))
| ~ r2_wellord2(X0,sK376(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_2254,c_2406]) ).
tcf(c_186895,plain,
! [X0: $i] :
( ~ r2_wellord2(X0,k5_numbers)
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_2334,c_2406]) ).
tcf(c_186896,plain,
! [X0: $i] :
( ~ r2_wellord2(X0,k2_numbers)
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_3060,c_2406]) ).
tcf(c_186897,plain,
! [X0: $i] : ~ r2_wellord2(np__0,k2_tarski(X0,np__0)),
inference(superposition,[status(thm)],[c_166778,c_2406]) ).
tcf(c_186898,plain,
! [X0: $i] : ~ r2_wellord2(np__0,k2_tarski(np__0,X0)),
inference(superposition,[status(thm)],[c_166781,c_2406]) ).
tcf(c_186899,plain,
! [X0: $i,X1: $i] : ~ r2_wellord2(X0,k2_xboole_0(X1,k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_169158,c_2406]) ).
tcf(c_186900,plain,
! [X0: $i] : ~ r2_wellord2(X0,k3_relat_1(k6_partfun1(k1_zfmisc_1(X0)))),
inference(superposition,[status(thm)],[c_171630,c_2406]) ).
tcf(c_186901,plain,
! [X0: $i] : ~ r2_wellord2(np__0,k5_finsub_1(X0)),
inference(superposition,[status(thm)],[c_177394,c_2406]) ).
tcf(c_186902,plain,
~ r2_wellord2(np__0,k1_zfmisc_1(sK138)),
inference(superposition,[status(thm)],[c_179027,c_2406]) ).
tcf(c_186903,plain,
~ r2_wellord2(np__0,k1_zfmisc_1(sK143)),
inference(superposition,[status(thm)],[c_179154,c_2406]) ).
tcf(c_186904,plain,
~ r2_wellord2(np__0,k1_zfmisc_1(sK357)),
inference(superposition,[status(thm)],[c_179269,c_2406]) ).
tcf(c_186985,plain,
! [X0: $i] :
( v1_card_1(X0)
| v1_finset_1(X0)
| ~ v3_ordinal1(X0)
| ~ v1_finset_1(sK388(X0)) ),
inference(superposition,[status(thm)],[c_2419,c_2395]) ).
tcf(c_186995,plain,
~ r2_wellord2(np__0,k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_47208,c_186901]) ).
tcf(c_187007,plain,
( v1_xreal_0(sK254(k4_numbers))
| ~ v5_membered(k4_numbers) ),
inference(superposition,[status(thm)],[c_178673,c_1725]) ).
tcf(c_187008,plain,
( v1_xcmplx_0(sK254(k4_numbers))
| ~ v5_membered(k4_numbers) ),
inference(superposition,[status(thm)],[c_178673,c_1724]) ).
tcf(c_187017,plain,
( v1_xcmplx_0(sK254(k1_numbers))
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_178676,c_1732]) ).
tcf(c_187030,plain,
( v1_int_1(sK87(k1_numbers))
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_178762,c_1286]) ).
tcf(c_187043,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_185690,c_78840,c_185690]) ).
tcf(c_187050,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_187043,c_100]) ).
tcf(c_187051,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_187043,c_1723]) ).
tcf(c_187052,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_187043,c_1722]) ).
tcf(c_187053,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_187043,c_1721]) ).
tcf(c_187054,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_187043,c_425]) ).
tcf(c_187055,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_187043,c_423]) ).
tcf(c_187056,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_187043,c_78786]) ).
tcf(c_187068,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187055,c_121]) ).
tcf(c_187107,plain,
! [X0: $i] :
( r1_tarski(k5_relat_1(X0,np__0),X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2838,c_2843]) ).
tcf(c_187108,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_2843,c_2333]) ).
tcf(c_187109,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_2843,c_2241]) ).
tcf(c_187110,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_2843,c_2215]) ).
tcf(c_187111,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_2843,c_2107]) ).
tcf(c_187112,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_2843,c_1733]) ).
tcf(c_187113,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_2843,c_802]) ).
tcf(c_187114,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(X0,k6_partfun1(X1)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2843,c_377]) ).
tcf(c_187115,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X0,k5_relat_1(X0,k6_partfun1(X1))) ),
inference(superposition,[status(thm)],[c_2843,c_376]) ).
tcf(c_187116,plain,
! [X0: $i] :
( v1_finset_1(k5_relat_1(np__0,k6_partfun1(X0)))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_2843,c_173328]) ).
tcf(c_187118,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_2843,c_694]) ).
tcf(c_187119,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_2843,c_693]) ).
tcf(c_187120,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k4_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2843,c_168451]) ).
tcf(c_187121,plain,
! [X0: $i] :
( v2_membered(k5_relat_1(k4_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2843,c_168450]) ).
tcf(c_187122,plain,
! [X0: $i] :
( v3_membered(k5_relat_1(k4_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2843,c_168449]) ).
tcf(c_187123,plain,
! [X0: $i] :
( v4_membered(k5_relat_1(k4_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2843,c_168448]) ).
tcf(c_187124,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k3_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2843,c_168454]) ).
tcf(c_187125,plain,
! [X0: $i] :
( v2_membered(k5_relat_1(k3_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2843,c_168453]) ).
tcf(c_187126,plain,
! [X0: $i] :
( v3_membered(k5_relat_1(k3_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2843,c_168452]) ).
tcf(c_187127,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k1_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_2843,c_168442]) ).
tcf(c_187128,plain,
! [X0: $i] :
( v2_membered(k5_relat_1(k1_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_2843,c_168441]) ).
tcf(c_187129,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k5_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2843,c_168447]) ).
tcf(c_187130,plain,
! [X0: $i] :
( v2_membered(k5_relat_1(k5_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2843,c_168446]) ).
tcf(c_187131,plain,
! [X0: $i] :
( v3_membered(k5_relat_1(k5_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2843,c_168445]) ).
tcf(c_187132,plain,
! [X0: $i] :
( v4_membered(k5_relat_1(k5_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2843,c_168444]) ).
tcf(c_187133,plain,
! [X0: $i] :
( v5_membered(k5_relat_1(k5_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2843,c_168443]) ).
tcf(c_187134,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k2_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_2843,c_168455]) ).
tcf(c_187224,plain,
! [X0: $i] :
( r1_tarski(k5_relat_1(np__0,X0),X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2838,c_2844]) ).
tcf(c_187225,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_2844,c_2333]) ).
tcf(c_187226,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_2844,c_2241]) ).
tcf(c_187227,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_2844,c_2215]) ).
tcf(c_187228,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_2844,c_2107]) ).
tcf(c_187229,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_2844,c_1733]) ).
tcf(c_187230,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_2844,c_802]) ).
tcf(c_187231,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(k6_partfun1(X1),X0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2844,c_377]) ).
tcf(c_187232,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X0,k5_relat_1(k6_partfun1(X1),X0)) ),
inference(superposition,[status(thm)],[c_2844,c_376]) ).
tcf(c_187233,plain,
! [X0: $i] :
( v1_finset_1(k5_relat_1(k6_partfun1(X0),np__0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_2844,c_173328]) ).
tcf(c_187235,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_2844,c_694]) ).
tcf(c_187236,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_2844,c_693]) ).
tcf(c_187237,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k6_partfun1(X0),k4_numbers))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2844,c_168451]) ).
tcf(c_187238,plain,
! [X0: $i] :
( v2_membered(k5_relat_1(k6_partfun1(X0),k4_numbers))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2844,c_168450]) ).
tcf(c_187239,plain,
! [X0: $i] :
( v3_membered(k5_relat_1(k6_partfun1(X0),k4_numbers))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2844,c_168449]) ).
tcf(c_187240,plain,
! [X0: $i] :
( v4_membered(k5_relat_1(k6_partfun1(X0),k4_numbers))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2844,c_168448]) ).
tcf(c_187241,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k6_partfun1(X0),k3_numbers))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2844,c_168454]) ).
tcf(c_187242,plain,
! [X0: $i] :
( v2_membered(k5_relat_1(k6_partfun1(X0),k3_numbers))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2844,c_168453]) ).
tcf(c_187243,plain,
! [X0: $i] :
( v3_membered(k5_relat_1(k6_partfun1(X0),k3_numbers))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2844,c_168452]) ).
tcf(c_187244,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k6_partfun1(X0),k1_numbers))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_2844,c_168442]) ).
tcf(c_187245,plain,
! [X0: $i] :
( v2_membered(k5_relat_1(k6_partfun1(X0),k1_numbers))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_2844,c_168441]) ).
tcf(c_187246,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k6_partfun1(X0),k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2844,c_168447]) ).
tcf(c_187247,plain,
! [X0: $i] :
( v2_membered(k5_relat_1(k6_partfun1(X0),k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2844,c_168446]) ).
tcf(c_187248,plain,
! [X0: $i] :
( v3_membered(k5_relat_1(k6_partfun1(X0),k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2844,c_168445]) ).
tcf(c_187249,plain,
! [X0: $i] :
( v4_membered(k5_relat_1(k6_partfun1(X0),k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2844,c_168444]) ).
tcf(c_187250,plain,
! [X0: $i] :
( v5_membered(k5_relat_1(k6_partfun1(X0),k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2844,c_168443]) ).
tcf(c_187251,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k6_partfun1(X0),k2_numbers))
| ~ v1_relat_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_2844,c_168455]) ).
tcf(c_187375,plain,
( ( k10_relat_1(sK135(sK143),np__0) = np__0 )
| ~ v1_relat_1(sK143) ),
inference(superposition,[status(thm)],[c_179191,c_1970]) ).
tcf(c_187376,plain,
( ( k7_relat_1(sK135(sK143),np__0) = np__0 )
| ~ v1_relat_1(sK143) ),
inference(superposition,[status(thm)],[c_179191,c_1911]) ).
tcf(c_187377,plain,
( ( k9_relat_1(sK135(sK143),np__0) = np__0 )
| ~ v1_relat_1(sK143) ),
inference(superposition,[status(thm)],[c_179191,c_1870]) ).
tcf(c_187378,plain,
( ( k5_relat_1(sK135(sK143),np__0) = np__0 )
| ~ v1_relat_1(sK143) ),
inference(superposition,[status(thm)],[c_179191,c_968]) ).
tcf(c_187379,plain,
( ( k5_relat_1(np__0,sK135(sK143)) = np__0 )
| ~ v1_relat_1(sK143) ),
inference(superposition,[status(thm)],[c_179191,c_967]) ).
tcf(c_187380,plain,
( sP8(sK135(sK143))
| ~ v1_relat_1(sK143)
| ~ v1_funct_1(sK135(sK143)) ),
inference(superposition,[status(thm)],[c_179191,c_931]) ).
tcf(c_187401,plain,
! [X0: $i] : v8_relat_2(sK264(X0,sK276(X0,X0))),
inference(superposition,[status(thm)],[c_179232,c_1435]) ).
tcf(c_187402,plain,
! [X0: $i] : v3_relat_2(sK264(X0,sK276(X0,X0))),
inference(superposition,[status(thm)],[c_179232,c_1434]) ).
tcf(c_187408,plain,
! [X0: $i] : v8_relat_2(sK264(X0,sK277(X0,X0))),
inference(superposition,[status(thm)],[c_179233,c_1435]) ).
tcf(c_187409,plain,
! [X0: $i] : v3_relat_2(sK264(X0,sK277(X0,X0))),
inference(superposition,[status(thm)],[c_179233,c_1434]) ).
tcf(c_187415,plain,
! [X0: $i] : v8_relat_2(sK264(X0,sK278(X0,X0))),
inference(superposition,[status(thm)],[c_179234,c_1435]) ).
tcf(c_187416,plain,
! [X0: $i] : v3_relat_2(sK264(X0,sK278(X0,X0))),
inference(superposition,[status(thm)],[c_179234,c_1434]) ).
tcf(c_187425,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_186425,c_78840,c_186425]) ).
tcf(c_187432,plain,
! [X0: $i] :
( r1_tarski(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_187425,c_100]) ).
tcf(c_187433,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_187425,c_1723]) ).
tcf(c_187434,plain,
! [X0: $i] :
( v1_xreal_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_187425,c_1722]) ).
tcf(c_187435,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_187425,c_1721]) ).
tcf(c_187436,plain,
! [X0: $i] :
( v1_xboole_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_187425,c_425]) ).
tcf(c_187437,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_187425,c_423]) ).
tcf(c_187438,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_187425,c_78786]) ).
tcf(c_187450,plain,
! [X0: $i] :
( r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(X0))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187437,c_121]) ).
tcf(c_187487,plain,
! [X0: $i] :
( ( k2_relat_1(sK356(u1_struct_0(X0))) = u1_struct_0(X0) )
| ~ v6_group_1(X0)
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_2954,c_2072]) ).
tcf(c_187488,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_2954,c_768]) ).
tcf(c_187490,plain,
( ( k2_relat_1(sK356(sK87(k1_zfmisc_1(u1_struct_0(sK42))))) = sK87(k1_zfmisc_1(u1_struct_0(sK42))) )
| ~ v6_group_1(sK42)
| ~ l1_struct_0(sK42) ),
inference(superposition,[status(thm)],[c_2954,c_183674]) ).
tcf(c_187491,plain,
( ( k1_zfmisc_1(sK87(k1_zfmisc_1(u1_struct_0(sK42)))) = k5_finsub_1(sK87(k1_zfmisc_1(u1_struct_0(sK42)))) )
| ~ v6_group_1(sK42)
| ~ l1_struct_0(sK42) ),
inference(superposition,[status(thm)],[c_2954,c_177585]) ).
tcf(c_187498,plain,
( ( k1_zfmisc_1(sK87(k1_zfmisc_1(u1_struct_0(sK42)))) = k5_finsub_1(sK87(k1_zfmisc_1(u1_struct_0(sK42)))) )
| ~ v6_group_1(sK42) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187491,c_163390]) ).
tcf(c_187501,plain,
( ( k2_relat_1(sK356(sK87(k1_zfmisc_1(u1_struct_0(sK42))))) = sK87(k1_zfmisc_1(u1_struct_0(sK42))) )
| ~ v6_group_1(sK42) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187490,c_163390]) ).
tcf(c_187524,plain,
( v1_xcmplx_0(np__1)
| ~ v1_xreal_0(np__1) ),
inference(superposition,[status(thm)],[c_168389,c_179425]) ).
tcf(c_187525,plain,
( v1_xcmplx_0(np__1)
| ~ v1_int_1(np__1) ),
inference(superposition,[status(thm)],[c_168385,c_179425]) ).
tcf(c_187526,plain,
( v1_xcmplx_0(np__1)
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_170237,c_179425]) ).
tcf(c_187578,plain,
( v1_xreal_0(np__1)
| ~ v1_int_1(np__1) ),
inference(superposition,[status(thm)],[c_168384,c_180526]) ).
tcf(c_187579,plain,
( v1_xreal_0(np__1)
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_170236,c_180526]) ).
tcf(c_187584,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_186813,c_78840,c_186813]) ).
tcf(c_187591,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK81(sK81(sK81(X0)))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_187584,c_100]) ).
tcf(c_187592,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(X0)))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_187584,c_1723]) ).
tcf(c_187593,plain,
! [X0: $i] :
( v1_xreal_0(u1_struct_0(sK81(sK81(sK81(X0)))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_187584,c_1722]) ).
tcf(c_187594,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(X0)))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_187584,c_1721]) ).
tcf(c_187595,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK81(sK81(sK81(X0)))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_187584,c_425]) ).
tcf(c_187596,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(u1_struct_0(sK81(sK81(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_187584,c_423]) ).
tcf(c_187597,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_187584,c_78786]) ).
tcf(c_187609,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK81(sK81(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187596,c_121]) ).
tcf(c_187674,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK486(k1_zfmisc_1(X0)),X0)
| ~ v1_realset1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_3015,c_100]) ).
tcf(c_187675,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK486(X0))
| ~ v1_realset1(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3015,c_1723]) ).
tcf(c_187676,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK486(X0))
| ~ v1_realset1(X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3015,c_1722]) ).
tcf(c_187677,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK486(X0))
| ~ v1_realset1(X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3015,c_1721]) ).
tcf(c_187679,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK486(X0),X0)
| ~ v1_realset1(X0) ),
inference(superposition,[status(thm)],[c_3015,c_423]) ).
tcf(c_187680,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK486(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_realset1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_3015,c_96]) ).
tcf(c_187681,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK486(k5_finsub_1(X0)))
| ~ v1_realset1(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_3015,c_771]) ).
tcf(c_187682,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v2_membered(sK486(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_3015,c_1772]) ).
tcf(c_187683,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v1_membered(sK486(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_3015,c_1771]) ).
tcf(c_187684,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v5_membered(sK486(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3015,c_2202]) ).
tcf(c_187685,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v4_membered(sK486(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3015,c_2201]) ).
tcf(c_187686,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v3_membered(sK486(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3015,c_2200]) ).
tcf(c_187687,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v2_membered(sK486(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3015,c_2199]) ).
tcf(c_187688,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v1_membered(sK486(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3015,c_2198]) ).
tcf(c_187689,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v4_membered(sK486(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3015,c_2206]) ).
tcf(c_187690,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v3_membered(sK486(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3015,c_2205]) ).
tcf(c_187691,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v2_membered(sK486(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3015,c_2204]) ).
tcf(c_187692,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v1_membered(sK486(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3015,c_2203]) ).
tcf(c_187693,plain,
( v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v3_membered(sK486(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_3015,c_2226]) ).
tcf(c_187694,plain,
( v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v2_membered(sK486(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_3015,c_2225]) ).
tcf(c_187695,plain,
( v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v1_membered(sK486(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_3015,c_2224]) ).
tcf(c_187696,plain,
( v1_xboole_0(k5_numbers)
| ~ v1_realset1(k5_numbers)
| ~ v3_xreal_0(sK486(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3015,c_3350]) ).
tcf(c_187697,plain,
( v1_xboole_0(k5_numbers)
| v1_int_1(sK486(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3015,c_3351]) ).
tcf(c_187698,plain,
( v1_xboole_0(k5_numbers)
| v1_xreal_0(sK486(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3015,c_3349]) ).
tcf(c_187699,plain,
( v1_xboole_0(k5_numbers)
| v1_xcmplx_0(sK486(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3015,c_3348]) ).
tcf(c_187700,plain,
( v1_xboole_0(k5_numbers)
| v4_ordinal2(sK486(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3015,c_3347]) ).
tcf(c_187701,plain,
( v1_xboole_0(k5_numbers)
| v3_ordinal1(sK486(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3015,c_3346]) ).
tcf(c_187702,plain,
( v1_xboole_0(k5_numbers)
| v1_ordinal1(sK486(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3015,c_3345]) ).
tcf(c_187703,plain,
( v1_xboole_0(k5_numbers)
| v1_card_1(sK486(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3015,c_3344]) ).
tcf(c_187704,plain,
( v1_xboole_0(k5_numbers)
| v1_finset_1(sK486(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3015,c_3334]) ).
tcf(c_187705,plain,
( v1_xboole_0(k8_qc_lang1)
| ~ v1_realset1(k8_qc_lang1)
| ~ r3_qc_lang2(sK486(k8_qc_lang1),sK486(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_3015,c_3610]) ).
tcf(c_187706,plain,
( v1_xboole_0(k8_qc_lang1)
| ~ v1_realset1(k8_qc_lang1)
| ~ r1_qc_lang2(sK486(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_3015,c_3572]) ).
tcf(c_187707,plain,
( v1_xboole_0(k1_zfmisc_1(k2_numbers))
| v1_membered(sK486(k1_zfmisc_1(k2_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_3015,c_3063]) ).
tcf(c_187708,plain,
( v1_xboole_0(k4_numbers)
| v1_int_1(sK486(k4_numbers))
| ~ v1_realset1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3015,c_3087]) ).
tcf(c_187709,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK486(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_realset1(k1_zfmisc_1(u1_struct_0(sK81(X0)))) ),
inference(superposition,[status(thm)],[c_3015,c_78786]) ).
tcf(c_187710,plain,
( v1_xboole_0(k1_zfmisc_1(np__0))
| v1_finset_1(sK486(k1_zfmisc_1(np__0)))
| ~ v1_realset1(k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_3015,c_165485]) ).
tcf(c_187711,plain,
( v1_int_1(sK486(k4_numbers))
| ~ v1_realset1(k4_numbers) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187708,c_3094]) ).
tcf(c_187744,plain,
( ~ v1_realset1(k8_qc_lang1)
| ~ r1_qc_lang2(sK486(k8_qc_lang1),k11_qc_lang1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187706,c_3611]) ).
tcf(c_187747,plain,
v1_finset_1(sK486(k1_zfmisc_1(np__0))),
inference(forward_subsumption_resolution,[status(thm)],[c_187710,c_121,c_165604]) ).
tcf(c_187748,plain,
( v1_membered(sK486(k1_zfmisc_1(k2_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k2_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187707,c_121]) ).
tcf(c_187751,plain,
( ~ v1_realset1(k8_qc_lang1)
| ~ r3_qc_lang2(sK486(k8_qc_lang1),sK486(k8_qc_lang1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187705,c_3611]) ).
tcf(c_187754,plain,
( v1_membered(sK486(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187695,c_121]) ).
tcf(c_187757,plain,
( v2_membered(sK486(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187694,c_121]) ).
tcf(c_187760,plain,
( v3_membered(sK486(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187693,c_121]) ).
tcf(c_187763,plain,
( v1_membered(sK486(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187692,c_121]) ).
tcf(c_187766,plain,
( v2_membered(sK486(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187691,c_121]) ).
tcf(c_187769,plain,
( v3_membered(sK486(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187690,c_121]) ).
tcf(c_187772,plain,
( v4_membered(sK486(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187689,c_121]) ).
tcf(c_187775,plain,
( v1_membered(sK486(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187688,c_121]) ).
tcf(c_187778,plain,
( v2_membered(sK486(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187687,c_121]) ).
tcf(c_187781,plain,
( v3_membered(sK486(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187686,c_121]) ).
tcf(c_187784,plain,
( v4_membered(sK486(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187685,c_121]) ).
tcf(c_187787,plain,
( v5_membered(sK486(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187684,c_121]) ).
tcf(c_187790,plain,
( v1_membered(sK486(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187683,c_121]) ).
tcf(c_187793,plain,
( v2_membered(sK486(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187682,c_121]) ).
tcf(c_187796,plain,
! [X0: $i] :
( v1_finset_1(sK486(k5_finsub_1(X0)))
| ~ v1_realset1(k5_finsub_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187681,c_182678]) ).
tcf(c_187811,plain,
! [X0: $i] :
( r1_tarski(sK486(k1_zfmisc_1(X0)),X0)
| ~ v1_realset1(k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187674,c_121]) ).
tcf(c_187814,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK486(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_187680,c_121]) ).
tcf(c_187817,plain,
! [X0: $i] :
( m1_subset_1(sK486(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_realset1(k1_zfmisc_1(u1_struct_0(sK81(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187709,c_121]) ).
tcf(c_187831,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK487(k1_zfmisc_1(X0)),X0)
| ~ v1_realset1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_3017,c_100]) ).
tcf(c_187832,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK487(X0))
| ~ v1_realset1(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3017,c_1723]) ).
tcf(c_187833,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK487(X0))
| ~ v1_realset1(X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3017,c_1722]) ).
tcf(c_187834,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK487(X0))
| ~ v1_realset1(X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3017,c_1721]) ).
tcf(c_187836,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK487(X0),X0)
| ~ v1_realset1(X0) ),
inference(superposition,[status(thm)],[c_3017,c_423]) ).
tcf(c_187837,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK487(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_realset1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_3017,c_96]) ).
tcf(c_187838,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK487(k5_finsub_1(X0)))
| ~ v1_realset1(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_3017,c_771]) ).
tcf(c_187839,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v2_membered(sK487(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_3017,c_1772]) ).
tcf(c_187840,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v1_membered(sK487(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_3017,c_1771]) ).
tcf(c_187841,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v5_membered(sK487(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3017,c_2202]) ).
tcf(c_187842,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v4_membered(sK487(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3017,c_2201]) ).
tcf(c_187843,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v3_membered(sK487(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3017,c_2200]) ).
tcf(c_187844,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v2_membered(sK487(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3017,c_2199]) ).
tcf(c_187845,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v1_membered(sK487(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3017,c_2198]) ).
tcf(c_187846,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v4_membered(sK487(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3017,c_2206]) ).
tcf(c_187847,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v3_membered(sK487(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3017,c_2205]) ).
tcf(c_187848,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v2_membered(sK487(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3017,c_2204]) ).
tcf(c_187849,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v1_membered(sK487(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3017,c_2203]) ).
tcf(c_187850,plain,
( v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v3_membered(sK487(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_3017,c_2226]) ).
tcf(c_187851,plain,
( v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v2_membered(sK487(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_3017,c_2225]) ).
tcf(c_187852,plain,
( v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v1_membered(sK487(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_3017,c_2224]) ).
tcf(c_187853,plain,
( v1_xboole_0(k5_numbers)
| ~ v1_realset1(k5_numbers)
| ~ v3_xreal_0(sK487(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3017,c_3350]) ).
tcf(c_187854,plain,
( v1_xboole_0(k5_numbers)
| v1_int_1(sK487(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3017,c_3351]) ).
tcf(c_187855,plain,
( v1_xboole_0(k5_numbers)
| v1_xreal_0(sK487(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3017,c_3349]) ).
tcf(c_187856,plain,
( v1_xboole_0(k5_numbers)
| v1_xcmplx_0(sK487(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3017,c_3348]) ).
tcf(c_187857,plain,
( v1_xboole_0(k5_numbers)
| v4_ordinal2(sK487(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3017,c_3347]) ).
tcf(c_187858,plain,
( v1_xboole_0(k5_numbers)
| v3_ordinal1(sK487(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3017,c_3346]) ).
tcf(c_187859,plain,
( v1_xboole_0(k5_numbers)
| v1_ordinal1(sK487(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3017,c_3345]) ).
tcf(c_187860,plain,
( v1_xboole_0(k5_numbers)
| v1_card_1(sK487(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3017,c_3344]) ).
tcf(c_187861,plain,
( v1_xboole_0(k5_numbers)
| v1_finset_1(sK487(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3017,c_3334]) ).
tcf(c_187862,plain,
( v1_xboole_0(k8_qc_lang1)
| ~ v1_realset1(k8_qc_lang1)
| ~ r3_qc_lang2(sK487(k8_qc_lang1),sK487(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_3017,c_3610]) ).
tcf(c_187863,plain,
( v1_xboole_0(k8_qc_lang1)
| ~ v1_realset1(k8_qc_lang1)
| ~ r1_qc_lang2(sK487(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_3017,c_3572]) ).
tcf(c_187864,plain,
( v1_xboole_0(k1_zfmisc_1(k2_numbers))
| v1_membered(sK487(k1_zfmisc_1(k2_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_3017,c_3063]) ).
tcf(c_187865,plain,
( v1_xboole_0(k4_numbers)
| v1_int_1(sK487(k4_numbers))
| ~ v1_realset1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3017,c_3087]) ).
tcf(c_187866,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK487(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_realset1(k1_zfmisc_1(u1_struct_0(sK81(X0)))) ),
inference(superposition,[status(thm)],[c_3017,c_78786]) ).
tcf(c_187867,plain,
( v1_xboole_0(k1_zfmisc_1(np__0))
| v1_finset_1(sK487(k1_zfmisc_1(np__0)))
| ~ v1_realset1(k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_3017,c_165485]) ).
tcf(c_187868,plain,
( v1_int_1(sK487(k4_numbers))
| ~ v1_realset1(k4_numbers) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187865,c_3094]) ).
tcf(c_187901,plain,
( ~ v1_realset1(k8_qc_lang1)
| ~ r1_qc_lang2(sK487(k8_qc_lang1),k11_qc_lang1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187863,c_3611]) ).
tcf(c_187904,plain,
v1_finset_1(sK487(k1_zfmisc_1(np__0))),
inference(forward_subsumption_resolution,[status(thm)],[c_187867,c_121,c_165604]) ).
tcf(c_187905,plain,
( v1_membered(sK487(k1_zfmisc_1(k2_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k2_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187864,c_121]) ).
tcf(c_187908,plain,
( ~ v1_realset1(k8_qc_lang1)
| ~ r3_qc_lang2(sK487(k8_qc_lang1),sK487(k8_qc_lang1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187862,c_3611]) ).
tcf(c_187911,plain,
( v1_membered(sK487(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187852,c_121]) ).
tcf(c_187914,plain,
( v2_membered(sK487(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187851,c_121]) ).
tcf(c_187917,plain,
( v3_membered(sK487(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187850,c_121]) ).
tcf(c_187920,plain,
( v1_membered(sK487(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187849,c_121]) ).
tcf(c_187923,plain,
( v2_membered(sK487(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187848,c_121]) ).
tcf(c_187926,plain,
( v3_membered(sK487(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187847,c_121]) ).
tcf(c_187929,plain,
( v4_membered(sK487(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187846,c_121]) ).
tcf(c_187932,plain,
( v1_membered(sK487(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187845,c_121]) ).
tcf(c_187935,plain,
( v2_membered(sK487(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187844,c_121]) ).
tcf(c_187938,plain,
( v3_membered(sK487(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187843,c_121]) ).
tcf(c_187941,plain,
( v4_membered(sK487(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187842,c_121]) ).
tcf(c_187944,plain,
( v5_membered(sK487(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187841,c_121]) ).
tcf(c_187947,plain,
( v1_membered(sK487(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187840,c_121]) ).
tcf(c_187950,plain,
( v2_membered(sK487(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187839,c_121]) ).
tcf(c_187953,plain,
! [X0: $i] :
( v1_finset_1(sK487(k5_finsub_1(X0)))
| ~ v1_realset1(k5_finsub_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187838,c_182678]) ).
tcf(c_187968,plain,
! [X0: $i] :
( r1_tarski(sK487(k1_zfmisc_1(X0)),X0)
| ~ v1_realset1(k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187831,c_121]) ).
tcf(c_187971,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK487(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_187837,c_121]) ).
tcf(c_187974,plain,
! [X0: $i] :
( m1_subset_1(sK487(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_realset1(k1_zfmisc_1(u1_struct_0(sK81(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187866,c_121]) ).
tcf(c_188045,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK495(k1_zfmisc_1(X0)),X0)
| ~ v1_classes2(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_3083,c_100]) ).
tcf(c_188046,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK495(X0))
| ~ v1_classes2(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3083,c_1723]) ).
tcf(c_188047,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK495(X0))
| ~ v1_classes2(X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3083,c_1722]) ).
tcf(c_188048,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK495(X0))
| ~ v1_classes2(X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3083,c_1721]) ).
tcf(c_188050,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK495(X0),X0)
| ~ v1_classes2(X0) ),
inference(superposition,[status(thm)],[c_3083,c_423]) ).
tcf(c_188051,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK495(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_classes2(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_3083,c_96]) ).
tcf(c_188052,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK495(k5_finsub_1(X0)))
| ~ v1_classes2(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_3083,c_771]) ).
tcf(c_188053,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v2_membered(sK495(k1_zfmisc_1(k1_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_3083,c_1772]) ).
tcf(c_188054,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v1_membered(sK495(k1_zfmisc_1(k1_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_3083,c_1771]) ).
tcf(c_188055,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v5_membered(sK495(k1_zfmisc_1(k5_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3083,c_2202]) ).
tcf(c_188056,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v4_membered(sK495(k1_zfmisc_1(k5_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3083,c_2201]) ).
tcf(c_188057,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v3_membered(sK495(k1_zfmisc_1(k5_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3083,c_2200]) ).
tcf(c_188058,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v2_membered(sK495(k1_zfmisc_1(k5_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3083,c_2199]) ).
tcf(c_188059,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v1_membered(sK495(k1_zfmisc_1(k5_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3083,c_2198]) ).
tcf(c_188060,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v4_membered(sK495(k1_zfmisc_1(k4_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3083,c_2206]) ).
tcf(c_188061,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v3_membered(sK495(k1_zfmisc_1(k4_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3083,c_2205]) ).
tcf(c_188062,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v2_membered(sK495(k1_zfmisc_1(k4_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3083,c_2204]) ).
tcf(c_188063,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v1_membered(sK495(k1_zfmisc_1(k4_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3083,c_2203]) ).
tcf(c_188064,plain,
( v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v3_membered(sK495(k1_zfmisc_1(k3_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_3083,c_2226]) ).
tcf(c_188065,plain,
( v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v2_membered(sK495(k1_zfmisc_1(k3_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_3083,c_2225]) ).
tcf(c_188066,plain,
( v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v1_membered(sK495(k1_zfmisc_1(k3_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_3083,c_2224]) ).
tcf(c_188067,plain,
( v1_xboole_0(k5_numbers)
| ~ v1_classes2(k5_numbers)
| ~ v3_xreal_0(sK495(k5_numbers)) ),
inference(superposition,[status(thm)],[c_3083,c_3350]) ).
tcf(c_188068,plain,
( v1_xboole_0(k5_numbers)
| v1_int_1(sK495(k5_numbers))
| ~ v1_classes2(k5_numbers) ),
inference(superposition,[status(thm)],[c_3083,c_3351]) ).
tcf(c_188069,plain,
( v1_xboole_0(k5_numbers)
| v1_xreal_0(sK495(k5_numbers))
| ~ v1_classes2(k5_numbers) ),
inference(superposition,[status(thm)],[c_3083,c_3349]) ).
tcf(c_188070,plain,
( v1_xboole_0(k5_numbers)
| v1_xcmplx_0(sK495(k5_numbers))
| ~ v1_classes2(k5_numbers) ),
inference(superposition,[status(thm)],[c_3083,c_3348]) ).
tcf(c_188071,plain,
( v1_xboole_0(k5_numbers)
| v4_ordinal2(sK495(k5_numbers))
| ~ v1_classes2(k5_numbers) ),
inference(superposition,[status(thm)],[c_3083,c_3347]) ).
tcf(c_188072,plain,
( v1_xboole_0(k5_numbers)
| v3_ordinal1(sK495(k5_numbers))
| ~ v1_classes2(k5_numbers) ),
inference(superposition,[status(thm)],[c_3083,c_3346]) ).
tcf(c_188073,plain,
( v1_xboole_0(k5_numbers)
| v1_ordinal1(sK495(k5_numbers))
| ~ v1_classes2(k5_numbers) ),
inference(superposition,[status(thm)],[c_3083,c_3345]) ).
tcf(c_188074,plain,
( v1_xboole_0(k5_numbers)
| v1_card_1(sK495(k5_numbers))
| ~ v1_classes2(k5_numbers) ),
inference(superposition,[status(thm)],[c_3083,c_3344]) ).
tcf(c_188075,plain,
( v1_xboole_0(k5_numbers)
| v1_finset_1(sK495(k5_numbers))
| ~ v1_classes2(k5_numbers) ),
inference(superposition,[status(thm)],[c_3083,c_3334]) ).
tcf(c_188076,plain,
( v1_xboole_0(k8_qc_lang1)
| ~ v1_classes2(k8_qc_lang1)
| ~ r3_qc_lang2(sK495(k8_qc_lang1),sK495(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_3083,c_3610]) ).
tcf(c_188077,plain,
( v1_xboole_0(k8_qc_lang1)
| ~ v1_classes2(k8_qc_lang1)
| ~ r1_qc_lang2(sK495(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_3083,c_3572]) ).
tcf(c_188078,plain,
( v1_xboole_0(k1_zfmisc_1(k2_numbers))
| v1_membered(sK495(k1_zfmisc_1(k2_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_3083,c_3063]) ).
tcf(c_188079,plain,
( v1_xboole_0(k4_numbers)
| v1_int_1(sK495(k4_numbers))
| ~ v1_classes2(k4_numbers) ),
inference(superposition,[status(thm)],[c_3083,c_3087]) ).
tcf(c_188080,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK81(X0))))
| m1_subset_1(sK495(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_classes2(k1_zfmisc_1(u1_struct_0(sK81(X0)))) ),
inference(superposition,[status(thm)],[c_3083,c_78786]) ).
tcf(c_188081,plain,
( v1_xboole_0(k1_zfmisc_1(np__0))
| v1_finset_1(sK495(k1_zfmisc_1(np__0)))
| ~ v1_classes2(k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_3083,c_165485]) ).
tcf(c_188082,plain,
( v1_int_1(sK495(k4_numbers))
| ~ v1_classes2(k4_numbers) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188079,c_3094]) ).
tcf(c_188115,plain,
( ~ v1_classes2(k8_qc_lang1)
| ~ r1_qc_lang2(sK495(k8_qc_lang1),k11_qc_lang1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188077,c_3611]) ).
tcf(c_188118,plain,
( v1_finset_1(sK495(k1_zfmisc_1(np__0)))
| ~ v1_classes2(k1_zfmisc_1(np__0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188081,c_121]) ).
tcf(c_188121,plain,
( v1_membered(sK495(k1_zfmisc_1(k2_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k2_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188078,c_121]) ).
tcf(c_188124,plain,
( ~ v1_classes2(k8_qc_lang1)
| ~ r3_qc_lang2(sK495(k8_qc_lang1),sK495(k8_qc_lang1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188076,c_3611]) ).
tcf(c_188127,plain,
( v1_membered(sK495(k1_zfmisc_1(k3_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k3_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188066,c_121]) ).
tcf(c_188130,plain,
( v2_membered(sK495(k1_zfmisc_1(k3_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k3_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188065,c_121]) ).
tcf(c_188133,plain,
( v3_membered(sK495(k1_zfmisc_1(k3_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k3_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188064,c_121]) ).
tcf(c_188136,plain,
( v1_membered(sK495(k1_zfmisc_1(k4_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188063,c_121]) ).
tcf(c_188139,plain,
( v2_membered(sK495(k1_zfmisc_1(k4_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188062,c_121]) ).
tcf(c_188142,plain,
( v3_membered(sK495(k1_zfmisc_1(k4_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188061,c_121]) ).
tcf(c_188145,plain,
( v4_membered(sK495(k1_zfmisc_1(k4_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188060,c_121]) ).
tcf(c_188148,plain,
( v1_membered(sK495(k1_zfmisc_1(k5_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188059,c_121]) ).
tcf(c_188151,plain,
( v2_membered(sK495(k1_zfmisc_1(k5_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188058,c_121]) ).
tcf(c_188154,plain,
( v3_membered(sK495(k1_zfmisc_1(k5_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188057,c_121]) ).
tcf(c_188157,plain,
( v4_membered(sK495(k1_zfmisc_1(k5_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188056,c_121]) ).
tcf(c_188160,plain,
( v5_membered(sK495(k1_zfmisc_1(k5_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188055,c_121]) ).
tcf(c_188163,plain,
( v1_membered(sK495(k1_zfmisc_1(k1_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k1_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188054,c_121]) ).
tcf(c_188166,plain,
( v2_membered(sK495(k1_zfmisc_1(k1_numbers)))
| ~ v1_classes2(k1_zfmisc_1(k1_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188053,c_121]) ).
tcf(c_188169,plain,
! [X0: $i] :
( v1_finset_1(sK495(k5_finsub_1(X0)))
| ~ v1_classes2(k5_finsub_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188052,c_182678]) ).
tcf(c_188184,plain,
! [X0: $i] :
( r1_tarski(sK495(k1_zfmisc_1(X0)),X0)
| ~ v1_classes2(k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188045,c_121]) ).
tcf(c_188187,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK495(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_classes2(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188051,c_121]) ).
tcf(c_188190,plain,
! [X0: $i] :
( m1_subset_1(sK495(k1_zfmisc_1(u1_struct_0(sK81(X0)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_classes2(k1_zfmisc_1(u1_struct_0(sK81(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188080,c_121]) ).
tcf(c_188230,plain,
k2_relat_1(sK356(sK486(k1_zfmisc_1(np__0)))) = sK486(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_187747,c_2072]) ).
tcf(c_188231,plain,
k1_zfmisc_1(sK486(k1_zfmisc_1(np__0))) = k5_finsub_1(sK486(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_187747,c_768]) ).
tcf(c_188232,plain,
k2_relat_1(sK356(sK487(k1_zfmisc_1(np__0)))) = sK487(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_187904,c_2072]) ).
tcf(c_188233,plain,
k1_zfmisc_1(sK487(k1_zfmisc_1(np__0))) = k5_finsub_1(sK487(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_187904,c_768]) ).
tcf(c_188260,plain,
( r1_tarski(np__0,k2_relat_1(sK90))
| ~ v1_relat_1(sK90) ),
inference(superposition,[status(thm)],[c_182499,c_1875]) ).
tcf(c_188261,plain,
( r1_tarski(np__0,k2_relat_1(sK119))
| ~ v1_relat_1(sK119) ),
inference(superposition,[status(thm)],[c_182502,c_1875]) ).
tcf(c_188262,plain,
( r1_tarski(np__0,k2_relat_1(sK138))
| ~ v1_relat_1(sK138) ),
inference(superposition,[status(thm)],[c_182505,c_1875]) ).
tcf(c_188263,plain,
( r1_tarski(np__0,k2_relat_1(sK336))
| ~ v1_relat_1(sK336) ),
inference(superposition,[status(thm)],[c_182516,c_1875]) ).
tcf(c_188264,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_187056,c_78840,c_187056]) ).
tcf(c_188271,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_188264,c_100]) ).
tcf(c_188272,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_188264,c_1723]) ).
tcf(c_188273,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_188264,c_1722]) ).
tcf(c_188274,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_188264,c_1721]) ).
tcf(c_188275,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_188264,c_425]) ).
tcf(c_188276,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_188264,c_423]) ).
tcf(c_188277,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_188264,c_78786]) ).
tcf(c_188289,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188276,c_121]) ).
tcf(c_188313,plain,
! [X0: $i] :
( ~ l1_struct_0(X0)
| ~ v3_struct_0(X0)
| ~ v3_xreal_0(u1_struct_0(X0))
| ~ v1_xreal_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_251,c_3322]) ).
tcf(c_188315,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ v3_xreal_0(k1_relat_1(X0))
| ~ v1_xreal_0(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_872,c_3322]) ).
tcf(c_188316,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ v3_xreal_0(k2_relat_1(X0))
| ~ v1_xreal_0(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1006,c_3322]) ).
tcf(c_188317,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ v3_xreal_0(k4_relat_1(X0))
| ~ v1_xreal_0(k4_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3936,c_3322]) ).
tcf(c_188318,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ v3_xreal_0(k6_partfun1(X0))
| ~ v1_xreal_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_177663,c_3322]) ).
tcf(c_188319,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ v3_xreal_0(sK43(X0))
| ~ v1_xreal_0(sK43(X0)) ),
inference(superposition,[status(thm)],[c_176253,c_3322]) ).
tcf(c_188365,plain,
( v2_xreal_0(sK314)
| v3_xreal_0(sK314)
| v1_xboole_0(sK314) ),
inference(superposition,[status(thm)],[c_1728,c_3326]) ).
tcf(c_188366,plain,
( v2_xreal_0(sK315)
| v3_xreal_0(sK315)
| v1_xboole_0(sK315) ),
inference(superposition,[status(thm)],[c_1731,c_3326]) ).
tcf(c_188367,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v2_xreal_0(sK371(X0))
| v3_xreal_0(sK371(X0))
| v1_xboole_0(sK371(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2244,c_3326]) ).
tcf(c_188371,plain,
( v2_xreal_0(sK383)
| v3_xreal_0(sK383)
| v1_xboole_0(sK383) ),
inference(superposition,[status(thm)],[c_163539,c_3326]) ).
tcf(c_188372,plain,
( v1_relat_1(k1_numbers)
| v2_xreal_0(sK201(k1_numbers))
| v3_xreal_0(sK201(k1_numbers))
| v1_xboole_0(sK201(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164425,c_3326]) ).
tcf(c_188373,plain,
( v5_membered(k1_numbers)
| v2_xreal_0(sK255(k1_numbers))
| v3_xreal_0(sK255(k1_numbers))
| v1_xboole_0(sK255(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164426,c_3326]) ).
tcf(c_188374,plain,
( v4_membered(k1_numbers)
| v2_xreal_0(sK365(k1_numbers))
| v3_xreal_0(sK365(k1_numbers))
| v1_xboole_0(sK365(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164428,c_3326]) ).
tcf(c_188375,plain,
( v3_ordinal1(k1_numbers)
| v2_xreal_0(sK377(k1_numbers))
| v3_xreal_0(sK377(k1_numbers))
| v1_xboole_0(sK377(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164430,c_3326]) ).
tcf(c_188376,plain,
( v1_realset1(k1_numbers)
| v2_xreal_0(sK484(k1_numbers))
| v3_xreal_0(sK484(k1_numbers))
| v1_xboole_0(sK484(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164573,c_3326]) ).
tcf(c_188377,plain,
( v1_realset1(k1_numbers)
| v2_xreal_0(sK485(k1_numbers))
| v3_xreal_0(sK485(k1_numbers))
| v1_xboole_0(sK485(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164592,c_3326]) ).
tcf(c_188378,plain,
( v1_relat_1(k4_numbers)
| v2_xreal_0(sK201(k4_numbers))
| v3_xreal_0(sK201(k4_numbers))
| v1_xboole_0(sK201(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164640,c_3326]) ).
tcf(c_188379,plain,
( v5_membered(k4_numbers)
| v2_xreal_0(sK255(k4_numbers))
| v3_xreal_0(sK255(k4_numbers))
| v1_xboole_0(sK255(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164650,c_3326]) ).
tcf(c_188380,plain,
( v3_ordinal1(k4_numbers)
| v2_xreal_0(sK377(k4_numbers))
| v3_xreal_0(sK377(k4_numbers))
| v1_xboole_0(sK377(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164660,c_3326]) ).
tcf(c_188381,plain,
( v2_xreal_0(sK43(k4_numbers))
| v3_xreal_0(sK43(k4_numbers))
| v1_xboole_0(sK43(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164690,c_3326]) ).
tcf(c_188382,plain,
( v1_realset1(k4_numbers)
| v2_xreal_0(sK484(k4_numbers))
| v3_xreal_0(sK484(k4_numbers))
| v1_xboole_0(sK484(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164697,c_3326]) ).
tcf(c_188383,plain,
( v1_realset1(k4_numbers)
| v2_xreal_0(sK485(k4_numbers))
| v3_xreal_0(sK485(k4_numbers))
| v1_xboole_0(sK485(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164707,c_3326]) ).
tcf(c_188384,plain,
( v2_xreal_0(sK43(k5_numbers))
| v3_xreal_0(sK43(k5_numbers))
| v1_xboole_0(sK43(k5_numbers)) ),
inference(superposition,[status(thm)],[c_164829,c_3326]) ).
tcf(c_188385,plain,
( v1_relat_1(k5_numbers)
| v2_xreal_0(sK201(k5_numbers))
| v3_xreal_0(sK201(k5_numbers))
| v1_xboole_0(sK201(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165650,c_3326]) ).
tcf(c_188386,plain,
( v3_ordinal1(k5_numbers)
| v2_xreal_0(sK377(k5_numbers))
| v3_xreal_0(sK377(k5_numbers))
| v1_xboole_0(sK377(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165960,c_3326]) ).
tcf(c_188387,plain,
( v1_realset1(k5_numbers)
| v2_xreal_0(sK484(k5_numbers))
| v3_xreal_0(sK484(k5_numbers))
| v1_xboole_0(sK484(k5_numbers)) ),
inference(superposition,[status(thm)],[c_166102,c_3326]) ).
tcf(c_188388,plain,
( v1_realset1(k5_numbers)
| v2_xreal_0(sK485(k5_numbers))
| v3_xreal_0(sK485(k5_numbers))
| v1_xboole_0(sK485(k5_numbers)) ),
inference(superposition,[status(thm)],[c_166221,c_3326]) ).
tcf(c_188389,plain,
( v2_xreal_0(sK87(k1_numbers))
| v3_xreal_0(sK87(k1_numbers))
| v1_xboole_0(sK87(k1_numbers)) ),
inference(superposition,[status(thm)],[c_176536,c_3326]) ).
tcf(c_188390,plain,
( v2_xreal_0(sK87(k4_numbers))
| v3_xreal_0(sK87(k4_numbers))
| v1_xboole_0(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_182729,c_3326]) ).
tcf(c_188391,plain,
( v1_realset1(k5_numbers)
| v2_xreal_0(sK87(k5_numbers))
| v3_xreal_0(sK87(k5_numbers))
| v1_xboole_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_173011,c_3326]) ).
tcf(c_188392,plain,
( v3_ordinal1(k5_numbers)
| v2_xreal_0(sK87(k5_numbers))
| v3_xreal_0(sK87(k5_numbers))
| v1_xboole_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_172820,c_3326]) ).
tcf(c_188393,plain,
( v1_relat_1(k5_numbers)
| v2_xreal_0(sK87(k5_numbers))
| v3_xreal_0(sK87(k5_numbers))
| v1_xboole_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_171383,c_3326]) ).
tcf(c_188394,plain,
( v4_finsub_1(k4_numbers)
| v2_xreal_0(sK497(k4_numbers))
| v3_xreal_0(sK497(k4_numbers))
| v1_xboole_0(sK497(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172362,c_3326]) ).
tcf(c_188395,plain,
( v4_finsub_1(k4_numbers)
| v2_xreal_0(sK496(k4_numbers))
| v3_xreal_0(sK496(k4_numbers))
| v1_xboole_0(sK496(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172372,c_3326]) ).
tcf(c_188396,plain,
( v4_finsub_1(k4_numbers)
| v2_xreal_0(sK499(k4_numbers))
| v3_xreal_0(sK499(k4_numbers))
| v1_xboole_0(sK499(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172382,c_3326]) ).
tcf(c_188397,plain,
( v4_finsub_1(k4_numbers)
| v2_xreal_0(sK498(k4_numbers))
| v3_xreal_0(sK498(k4_numbers))
| v1_xboole_0(sK498(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172392,c_3326]) ).
tcf(c_188398,plain,
( v4_finsub_1(k4_numbers)
| v2_xreal_0(sK501(k4_numbers))
| v3_xreal_0(sK501(k4_numbers))
| v1_xboole_0(sK501(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172764,c_3326]) ).
tcf(c_188399,plain,
( v4_finsub_1(k4_numbers)
| v2_xreal_0(sK500(k4_numbers))
| v3_xreal_0(sK500(k4_numbers))
| v1_xboole_0(sK500(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172774,c_3326]) ).
tcf(c_188400,plain,
( v2_xreal_0(sK43(k1_numbers))
| v3_xreal_0(sK43(k1_numbers))
| v1_xboole_0(sK43(k1_numbers)) ),
inference(superposition,[status(thm)],[c_177617,c_3326]) ).
tcf(c_188401,plain,
( v2_xreal_0(sK254(k1_numbers))
| v3_xreal_0(sK254(k1_numbers))
| v1_xboole_0(sK254(k1_numbers))
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_178676,c_3326]) ).
tcf(c_188402,plain,
( v2_xreal_0(sK312(k1_numbers))
| v3_xreal_0(sK312(k1_numbers))
| v1_xboole_0(sK312(k1_numbers)) ),
inference(superposition,[status(thm)],[c_179345,c_3326]) ).
tcf(c_188403,plain,
! [X0: $i] :
( v2_xreal_0(sK43(X0))
| v3_xreal_0(sK43(X0))
| v1_xboole_0(sK43(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_180437,c_3326]) ).
tcf(c_188404,plain,
( v2_xreal_0(sK312(k4_numbers))
| v3_xreal_0(sK312(k4_numbers))
| v1_xboole_0(sK312(k4_numbers)) ),
inference(superposition,[status(thm)],[c_181321,c_3326]) ).
tcf(c_188405,plain,
( v2_xreal_0(sK364(k4_numbers))
| v3_xreal_0(sK364(k4_numbers))
| v1_xboole_0(sK364(k4_numbers)) ),
inference(superposition,[status(thm)],[c_184625,c_3326]) ).
tcf(c_188406,plain,
( v2_xreal_0(sK371(k1_numbers))
| v3_xreal_0(sK371(k1_numbers))
| v1_xboole_0(sK371(k1_numbers)) ),
inference(superposition,[status(thm)],[c_185347,c_3326]) ).
tcf(c_188407,plain,
( v2_xreal_0(sK371(k4_numbers))
| v3_xreal_0(sK371(k4_numbers))
| v1_xboole_0(sK371(k4_numbers)) ),
inference(superposition,[status(thm)],[c_185620,c_3326]) ).
tcf(c_188441,plain,
( v2_xreal_0(sK43(k5_numbers))
| v1_xboole_0(sK43(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188384,c_168118]) ).
tcf(c_188604,plain,
! [X0: $i] :
( ~ l1_struct_0(X0)
| ~ v3_struct_0(X0)
| ~ v2_xreal_0(u1_struct_0(X0))
| ~ v1_xreal_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_251,c_3327]) ).
tcf(c_188606,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ v2_xreal_0(k1_relat_1(X0))
| ~ v1_xreal_0(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_872,c_3327]) ).
tcf(c_188607,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ v2_xreal_0(k2_relat_1(X0))
| ~ v1_xreal_0(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1006,c_3327]) ).
tcf(c_188608,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ v2_xreal_0(k4_relat_1(X0))
| ~ v1_xreal_0(k4_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3936,c_3327]) ).
tcf(c_188609,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ v2_xreal_0(k6_partfun1(X0))
| ~ v1_xreal_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_177663,c_3327]) ).
tcf(c_188610,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ v2_xreal_0(sK43(X0))
| ~ v1_xreal_0(sK43(X0)) ),
inference(superposition,[status(thm)],[c_176253,c_3327]) ).
tcf(c_188643,plain,
( r1_tarski(np__0,k2_relat_1(sK357))
| ~ v1_relat_1(sK357) ),
inference(superposition,[status(thm)],[c_182519,c_1875]) ).
tcf(c_188644,plain,
( r1_tarski(np__0,k2_relat_1(sK359))
| ~ v1_relat_1(sK359) ),
inference(superposition,[status(thm)],[c_182521,c_1875]) ).
tcf(c_188645,plain,
! [X0: $i] : r1_tarski(k9_relat_1(np__0,X0),np__0),
inference(superposition,[status(thm)],[c_2838,c_182635]) ).
tcf(c_188646,plain,
! [X0: $i,X1: $i] :
( v5_membered(k9_relat_1(k6_partfun1(X0),X1))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_182635,c_2333]) ).
tcf(c_188647,plain,
! [X0: $i,X1: $i] :
( v2_membered(k9_relat_1(k6_partfun1(X0),X1))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_182635,c_2241]) ).
tcf(c_188648,plain,
! [X0: $i,X1: $i] :
( v3_membered(k9_relat_1(k6_partfun1(X0),X1))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_182635,c_2215]) ).
tcf(c_188649,plain,
! [X0: $i,X1: $i] :
( v4_membered(k9_relat_1(k6_partfun1(X0),X1))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_182635,c_2107]) ).
tcf(c_188650,plain,
! [X0: $i,X1: $i] :
( v1_membered(k9_relat_1(k6_partfun1(X0),X1))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_182635,c_1733]) ).
tcf(c_188651,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k9_relat_1(k6_partfun1(X0),X1))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_182635,c_802]) ).
tcf(c_188652,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k9_relat_1(k6_partfun1(X0),X1))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_182635,c_377]) ).
tcf(c_188653,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(X0,k9_relat_1(k6_partfun1(X0),X1)),
inference(superposition,[status(thm)],[c_182635,c_376]) ).
tcf(c_188654,plain,
! [X0: $i] : v1_finset_1(k9_relat_1(k6_partfun1(np__0),X0)),
inference(superposition,[status(thm)],[c_182635,c_173328]) ).
tcf(c_188655,plain,
! [X0: $i] : k9_relat_1(k6_partfun1(np__0),X0) = np__0,
inference(superposition,[status(thm)],[c_182635,c_390]) ).
tcf(c_188656,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k9_relat_1(k6_partfun1(k4_xboole_0(X0,X1)),X2),X1),
inference(superposition,[status(thm)],[c_182635,c_694]) ).
tcf(c_188657,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k9_relat_1(k6_partfun1(k4_xboole_0(X0,X1)),X2),X0),
inference(superposition,[status(thm)],[c_182635,c_693]) ).
tcf(c_188658,plain,
! [X0: $i] : v1_membered(k9_relat_1(k6_partfun1(k4_numbers),X0)),
inference(superposition,[status(thm)],[c_182635,c_168451]) ).
tcf(c_188659,plain,
! [X0: $i] : v2_membered(k9_relat_1(k6_partfun1(k4_numbers),X0)),
inference(superposition,[status(thm)],[c_182635,c_168450]) ).
tcf(c_188660,plain,
! [X0: $i] : v3_membered(k9_relat_1(k6_partfun1(k4_numbers),X0)),
inference(superposition,[status(thm)],[c_182635,c_168449]) ).
tcf(c_188661,plain,
! [X0: $i] : v4_membered(k9_relat_1(k6_partfun1(k4_numbers),X0)),
inference(superposition,[status(thm)],[c_182635,c_168448]) ).
tcf(c_188662,plain,
! [X0: $i] : v1_membered(k9_relat_1(k6_partfun1(k3_numbers),X0)),
inference(superposition,[status(thm)],[c_182635,c_168454]) ).
tcf(c_188663,plain,
! [X0: $i] : v2_membered(k9_relat_1(k6_partfun1(k3_numbers),X0)),
inference(superposition,[status(thm)],[c_182635,c_168453]) ).
tcf(c_188664,plain,
! [X0: $i] : v3_membered(k9_relat_1(k6_partfun1(k3_numbers),X0)),
inference(superposition,[status(thm)],[c_182635,c_168452]) ).
tcf(c_188665,plain,
! [X0: $i] : v1_membered(k9_relat_1(k6_partfun1(k1_numbers),X0)),
inference(superposition,[status(thm)],[c_182635,c_168442]) ).
tcf(c_188666,plain,
! [X0: $i] : v2_membered(k9_relat_1(k6_partfun1(k1_numbers),X0)),
inference(superposition,[status(thm)],[c_182635,c_168441]) ).
tcf(c_188667,plain,
! [X0: $i] : v1_membered(k9_relat_1(k6_partfun1(k5_numbers),X0)),
inference(superposition,[status(thm)],[c_182635,c_168447]) ).
tcf(c_188668,plain,
! [X0: $i] : v2_membered(k9_relat_1(k6_partfun1(k5_numbers),X0)),
inference(superposition,[status(thm)],[c_182635,c_168446]) ).
tcf(c_188669,plain,
! [X0: $i] : v3_membered(k9_relat_1(k6_partfun1(k5_numbers),X0)),
inference(superposition,[status(thm)],[c_182635,c_168445]) ).
tcf(c_188670,plain,
! [X0: $i] : v4_membered(k9_relat_1(k6_partfun1(k5_numbers),X0)),
inference(superposition,[status(thm)],[c_182635,c_168444]) ).
tcf(c_188671,plain,
! [X0: $i] : v5_membered(k9_relat_1(k6_partfun1(k5_numbers),X0)),
inference(superposition,[status(thm)],[c_182635,c_168443]) ).
tcf(c_188672,plain,
! [X0: $i] : v1_membered(k9_relat_1(k6_partfun1(k2_numbers),X0)),
inference(superposition,[status(thm)],[c_182635,c_168455]) ).
tcf(c_188755,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_187438,c_78840,c_187438]) ).
tcf(c_188762,plain,
! [X0: $i] :
( r1_tarski(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_188755,c_100]) ).
tcf(c_188763,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_188755,c_1723]) ).
tcf(c_188764,plain,
! [X0: $i] :
( v1_xreal_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_188755,c_1722]) ).
tcf(c_188765,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_188755,c_1721]) ).
tcf(c_188766,plain,
! [X0: $i] :
( v1_xboole_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_188755,c_425]) ).
tcf(c_188767,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_188755,c_423]) ).
tcf(c_188768,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_188755,c_78786]) ).
tcf(c_188780,plain,
! [X0: $i] :
( r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(X0)))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188767,c_121]) ).
tcf(c_188800,plain,
( ~ v2_xreal_0(sK314)
| ~ v3_xreal_0(sK314) ),
inference(superposition,[status(thm)],[c_1728,c_3329]) ).
tcf(c_188801,plain,
( ~ v2_xreal_0(sK315)
| ~ v3_xreal_0(sK315) ),
inference(superposition,[status(thm)],[c_1731,c_3329]) ).
tcf(c_188802,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v2_membered(X0)
| ~ v2_xreal_0(sK371(X0))
| ~ v3_xreal_0(sK371(X0)) ),
inference(superposition,[status(thm)],[c_2244,c_3329]) ).
tcf(c_188806,plain,
( ~ v2_xreal_0(sK383)
| ~ v3_xreal_0(sK383) ),
inference(superposition,[status(thm)],[c_163539,c_3329]) ).
tcf(c_188807,plain,
( v1_relat_1(k1_numbers)
| ~ v2_xreal_0(sK201(k1_numbers))
| ~ v3_xreal_0(sK201(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164425,c_3329]) ).
tcf(c_188808,plain,
( v5_membered(k1_numbers)
| ~ v2_xreal_0(sK255(k1_numbers))
| ~ v3_xreal_0(sK255(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164426,c_3329]) ).
tcf(c_188809,plain,
( v4_membered(k1_numbers)
| ~ v2_xreal_0(sK365(k1_numbers))
| ~ v3_xreal_0(sK365(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164428,c_3329]) ).
tcf(c_188810,plain,
( v3_ordinal1(k1_numbers)
| ~ v2_xreal_0(sK377(k1_numbers))
| ~ v3_xreal_0(sK377(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164430,c_3329]) ).
tcf(c_188811,plain,
( v1_realset1(k1_numbers)
| ~ v2_xreal_0(sK484(k1_numbers))
| ~ v3_xreal_0(sK484(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164573,c_3329]) ).
tcf(c_188812,plain,
( v1_realset1(k1_numbers)
| ~ v2_xreal_0(sK485(k1_numbers))
| ~ v3_xreal_0(sK485(k1_numbers)) ),
inference(superposition,[status(thm)],[c_164592,c_3329]) ).
tcf(c_188813,plain,
( v1_relat_1(k4_numbers)
| ~ v2_xreal_0(sK201(k4_numbers))
| ~ v3_xreal_0(sK201(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164640,c_3329]) ).
tcf(c_188814,plain,
( v5_membered(k4_numbers)
| ~ v2_xreal_0(sK255(k4_numbers))
| ~ v3_xreal_0(sK255(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164650,c_3329]) ).
tcf(c_188815,plain,
( v3_ordinal1(k4_numbers)
| ~ v2_xreal_0(sK377(k4_numbers))
| ~ v3_xreal_0(sK377(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164660,c_3329]) ).
tcf(c_188816,plain,
( ~ v2_xreal_0(sK43(k4_numbers))
| ~ v3_xreal_0(sK43(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164690,c_3329]) ).
tcf(c_188817,plain,
( v1_realset1(k4_numbers)
| ~ v2_xreal_0(sK484(k4_numbers))
| ~ v3_xreal_0(sK484(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164697,c_3329]) ).
tcf(c_188818,plain,
( v1_realset1(k4_numbers)
| ~ v2_xreal_0(sK485(k4_numbers))
| ~ v3_xreal_0(sK485(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164707,c_3329]) ).
tcf(c_188820,plain,
( v1_relat_1(k5_numbers)
| ~ v2_xreal_0(sK201(k5_numbers))
| ~ v3_xreal_0(sK201(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165650,c_3329]) ).
tcf(c_188821,plain,
( v3_ordinal1(k5_numbers)
| ~ v2_xreal_0(sK377(k5_numbers))
| ~ v3_xreal_0(sK377(k5_numbers)) ),
inference(superposition,[status(thm)],[c_165960,c_3329]) ).
tcf(c_188822,plain,
( v1_realset1(k5_numbers)
| ~ v2_xreal_0(sK484(k5_numbers))
| ~ v3_xreal_0(sK484(k5_numbers)) ),
inference(superposition,[status(thm)],[c_166102,c_3329]) ).
tcf(c_188823,plain,
( v1_realset1(k5_numbers)
| ~ v2_xreal_0(sK485(k5_numbers))
| ~ v3_xreal_0(sK485(k5_numbers)) ),
inference(superposition,[status(thm)],[c_166221,c_3329]) ).
tcf(c_188824,plain,
( ~ v2_xreal_0(sK87(k1_numbers))
| ~ v3_xreal_0(sK87(k1_numbers)) ),
inference(superposition,[status(thm)],[c_176536,c_3329]) ).
tcf(c_188825,plain,
( ~ v2_xreal_0(sK87(k4_numbers))
| ~ v3_xreal_0(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_182729,c_3329]) ).
tcf(c_188826,plain,
( v1_realset1(k5_numbers)
| ~ v2_xreal_0(sK87(k5_numbers))
| ~ v3_xreal_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_173011,c_3329]) ).
tcf(c_188827,plain,
( v3_ordinal1(k5_numbers)
| ~ v2_xreal_0(sK87(k5_numbers))
| ~ v3_xreal_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_172820,c_3329]) ).
tcf(c_188828,plain,
( v1_relat_1(k5_numbers)
| ~ v2_xreal_0(sK87(k5_numbers))
| ~ v3_xreal_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_171383,c_3329]) ).
tcf(c_188829,plain,
( v4_finsub_1(k4_numbers)
| ~ v2_xreal_0(sK497(k4_numbers))
| ~ v3_xreal_0(sK497(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172362,c_3329]) ).
tcf(c_188830,plain,
( v4_finsub_1(k4_numbers)
| ~ v2_xreal_0(sK496(k4_numbers))
| ~ v3_xreal_0(sK496(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172372,c_3329]) ).
tcf(c_188831,plain,
( v4_finsub_1(k4_numbers)
| ~ v2_xreal_0(sK499(k4_numbers))
| ~ v3_xreal_0(sK499(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172382,c_3329]) ).
tcf(c_188832,plain,
( v4_finsub_1(k4_numbers)
| ~ v2_xreal_0(sK498(k4_numbers))
| ~ v3_xreal_0(sK498(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172392,c_3329]) ).
tcf(c_188833,plain,
( v4_finsub_1(k4_numbers)
| ~ v2_xreal_0(sK501(k4_numbers))
| ~ v3_xreal_0(sK501(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172764,c_3329]) ).
tcf(c_188834,plain,
( v4_finsub_1(k4_numbers)
| ~ v2_xreal_0(sK500(k4_numbers))
| ~ v3_xreal_0(sK500(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172774,c_3329]) ).
tcf(c_188835,plain,
( ~ v2_xreal_0(sK43(k1_numbers))
| ~ v3_xreal_0(sK43(k1_numbers)) ),
inference(superposition,[status(thm)],[c_177617,c_3329]) ).
tcf(c_188836,plain,
( ~ v5_membered(k1_numbers)
| ~ v2_xreal_0(sK254(k1_numbers))
| ~ v3_xreal_0(sK254(k1_numbers)) ),
inference(superposition,[status(thm)],[c_178676,c_3329]) ).
tcf(c_188837,plain,
( ~ v2_xreal_0(sK312(k1_numbers))
| ~ v3_xreal_0(sK312(k1_numbers)) ),
inference(superposition,[status(thm)],[c_179345,c_3329]) ).
tcf(c_188838,plain,
! [X0: $i] :
( ~ v2_membered(X0)
| ~ v2_xreal_0(sK43(X0))
| ~ v3_xreal_0(sK43(X0)) ),
inference(superposition,[status(thm)],[c_180437,c_3329]) ).
tcf(c_188839,plain,
( ~ v2_xreal_0(sK312(k4_numbers))
| ~ v3_xreal_0(sK312(k4_numbers)) ),
inference(superposition,[status(thm)],[c_181321,c_3329]) ).
tcf(c_188840,plain,
( ~ v2_xreal_0(sK364(k4_numbers))
| ~ v3_xreal_0(sK364(k4_numbers)) ),
inference(superposition,[status(thm)],[c_184625,c_3329]) ).
tcf(c_188841,plain,
( ~ v2_xreal_0(sK371(k1_numbers))
| ~ v3_xreal_0(sK371(k1_numbers)) ),
inference(superposition,[status(thm)],[c_185347,c_3329]) ).
tcf(c_188842,plain,
( ~ v2_xreal_0(sK371(k4_numbers))
| ~ v3_xreal_0(sK371(k4_numbers)) ),
inference(superposition,[status(thm)],[c_185620,c_3329]) ).
tcf(c_189002,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(k2_xboole_0(X0,X1)) = np__0 )
| ~ r2_hidden(np__0,X0) ),
inference(superposition,[status(thm)],[c_550,c_3410]) ).
tcf(c_189003,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(k2_xboole_0(X1,X0)) = np__0 )
| ~ r2_hidden(np__0,X0) ),
inference(superposition,[status(thm)],[c_551,c_3410]) ).
tcf(c_189006,plain,
( ( k1_setfam_1(k1_numbers) = np__0 )
| ~ v1_xreal_0(np__0) ),
inference(superposition,[status(thm)],[c_2362,c_3410]) ).
tcf(c_189007,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_setfam_1(X0) = np__0 )
| ~ v1_classes2(X0) ),
inference(superposition,[status(thm)],[c_3075,c_3410]) ).
tcf(c_189008,plain,
( ( k1_setfam_1(k4_numbers) = np__0 )
| ~ v1_int_1(np__0) ),
inference(superposition,[status(thm)],[c_3086,c_3410]) ).
tcf(c_189009,plain,
( ( k1_setfam_1(sK503(np__0)) = np__0 )
| ~ v3_ordinal1(np__0) ),
inference(superposition,[status(thm)],[c_3180,c_3410]) ).
tcf(c_189014,plain,
k1_setfam_1(k1_card_1(k1_zfmisc_1(np__0))) = np__0,
inference(superposition,[status(thm)],[c_164343,c_3410]) ).
tcf(c_189015,plain,
! [X0: $i] : k1_setfam_1(k2_xboole_0(X0,k1_zfmisc_1(np__0))) = np__0,
inference(superposition,[status(thm)],[c_165602,c_3410]) ).
tcf(c_189016,plain,
! [X0: $i] : k1_setfam_1(k2_xboole_0(k1_zfmisc_1(np__0),X0)) = np__0,
inference(superposition,[status(thm)],[c_169173,c_3410]) ).
tcf(c_189017,plain,
! [X0: $i] : k1_setfam_1(k1_zfmisc_1(X0)) = np__0,
inference(superposition,[status(thm)],[c_175692,c_3410]) ).
tcf(c_189020,plain,
k1_setfam_1(k1_numbers) = np__0,
inference(forward_subsumption_resolution,[status(thm)],[c_189006,c_165227]) ).
tcf(c_189021,plain,
k1_setfam_1(sK503(np__0)) = np__0,
inference(forward_subsumption_resolution,[status(thm)],[c_189009,c_2260]) ).
tcf(c_189054,plain,
k8_relat_1(np__0,sK90) = np__0,
inference(superposition,[status(thm)],[c_437,c_3874]) ).
tcf(c_189055,plain,
k8_relat_1(np__0,np__0) = np__0,
inference(superposition,[status(thm)],[c_2077,c_3874]) ).
tcf(c_189056,plain,
! [X0: $i,X1: $i] : k8_relat_1(np__0,k2_zfmisc_1(X0,X1)) = np__0,
inference(superposition,[status(thm)],[c_623,c_3874]) ).
tcf(c_189057,plain,
k8_relat_1(np__0,sK119) = np__0,
inference(superposition,[status(thm)],[c_633,c_3874]) ).
tcf(c_189058,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k8_relat_1(np__0,sK121(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_650,c_3874]) ).
tcf(c_189059,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k8_relat_1(np__0,sK120(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_652,c_3874]) ).
tcf(c_189060,plain,
k8_relat_1(np__0,sK138) = np__0,
inference(superposition,[status(thm)],[c_781,c_3874]) ).
tcf(c_189061,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k8_relat_1(np__0,sK146(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_840,c_3874]) ).
tcf(c_189062,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k8_relat_1(np__0,sK147(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_847,c_3874]) ).
tcf(c_189063,plain,
! [X0: $i] :
( ( k8_relat_1(np__0,k1_relat_1(X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_873,c_3874]) ).
tcf(c_189066,plain,
! [X0: $i] :
( ( k8_relat_1(np__0,k2_relat_1(X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1007,c_3874]) ).
tcf(c_189067,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_1124,c_3874]) ).
tcf(c_189068,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_1593,c_3874]) ).
tcf(c_189069,plain,
! [X0: $i,X1: $i] : k8_relat_1(np__0,sK276(X0,X1)) = np__0,
inference(superposition,[status(thm)],[c_1615,c_3874]) ).
tcf(c_189070,plain,
! [X0: $i,X1: $i] : k8_relat_1(np__0,sK277(X0,X1)) = np__0,
inference(superposition,[status(thm)],[c_1619,c_3874]) ).
tcf(c_189071,plain,
k8_relat_1(np__0,sK336) = np__0,
inference(superposition,[status(thm)],[c_1830,c_3874]) ).
tcf(c_189072,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_1905,c_3874]) ).
tcf(c_189073,plain,
! [X0: $i] :
( ( k8_relat_1(np__0,sK356(X0)) = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2069,c_3874]) ).
tcf(c_189074,plain,
k8_relat_1(np__0,sK357) = np__0,
inference(superposition,[status(thm)],[c_2081,c_3874]) ).
tcf(c_189075,plain,
! [X0: $i] : k8_relat_1(np__0,sK358(X0)) = np__0,
inference(superposition,[status(thm)],[c_2086,c_3874]) ).
tcf(c_189076,plain,
k8_relat_1(np__0,sK359) = np__0,
inference(superposition,[status(thm)],[c_2091,c_3874]) ).
tcf(c_189077,plain,
! [X0: $i,X1: $i] :
( ( k8_relat_1(np__0,sK394(X0,X1)) = np__0 )
| ~ sP22(X0,X1) ),
inference(superposition,[status(thm)],[c_2446,c_3874]) ).
tcf(c_189078,plain,
! [X0: $i] : k8_relat_1(np__0,k6_partfun1(X0)) = np__0,
inference(superposition,[status(thm)],[c_2834,c_3874]) ).
tcf(c_189079,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_3870,c_3874]) ).
tcf(c_189080,plain,
! [X0: $i] :
( ( k8_relat_1(np__0,k4_relat_1(X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3937,c_3874]) ).
tcf(c_189081,plain,
! [X0: $i] :
( ( k8_relat_1(np__0,k4_relat_1(X0)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3921,c_3874]) ).
tcf(c_189082,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_49629,c_3874]) ).
tcf(c_189083,plain,
! [X0: $i,X1: $i] : k8_relat_1(np__0,sK43(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = np__0,
inference(superposition,[status(thm)],[c_174999,c_3874]) ).
tcf(c_189084,plain,
( ( k8_relat_1(np__0,sK87(k1_zfmisc_1(u1_struct_0(sK42)))) = np__0 )
| ~ v1_relat_1(u1_struct_0(sK42)) ),
inference(superposition,[status(thm)],[c_176212,c_3874]) ).
tcf(c_189085,plain,
! [X0: $i] :
( ( k8_relat_1(np__0,sK43(X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_178197,c_3874]) ).
tcf(c_189086,plain,
k8_relat_1(np__0,sK135(sK138)) = np__0,
inference(superposition,[status(thm)],[c_179066,c_3874]) ).
tcf(c_189087,plain,
( ( k8_relat_1(np__0,sK135(sK143)) = np__0 )
| ~ v1_relat_1(sK143) ),
inference(superposition,[status(thm)],[c_179191,c_3874]) ).
tcf(c_189088,plain,
k8_relat_1(np__0,sK135(sK357)) = np__0,
inference(superposition,[status(thm)],[c_181345,c_3874]) ).
tcf(c_189186,plain,
! [X0: $i] :
( r1_tarski(k2_relat_1(np__0),X0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_3873,c_3894]) ).
tcf(c_189187,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_3894,c_2333]) ).
tcf(c_189188,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_3894,c_2241]) ).
tcf(c_189189,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_3894,c_2215]) ).
tcf(c_189190,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_3894,c_2107]) ).
tcf(c_189191,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_3894,c_1733]) ).
tcf(c_189192,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_3894,c_802]) ).
tcf(c_189193,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_3894,c_377]) ).
tcf(c_189194,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_3894,c_376]) ).
tcf(c_189195,plain,
! [X0: $i] :
( v1_finset_1(k2_relat_1(k8_relat_1(np__0,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_173328]) ).
tcf(c_189196,plain,
! [X0: $i] :
( ( k2_relat_1(k8_relat_1(np__0,X0)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_390]) ).
tcf(c_189197,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_3894,c_694]) ).
tcf(c_189198,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_3894,c_693]) ).
tcf(c_189199,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(k8_relat_1(k4_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_168451]) ).
tcf(c_189200,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(k8_relat_1(k4_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_168450]) ).
tcf(c_189201,plain,
! [X0: $i] :
( v3_membered(k2_relat_1(k8_relat_1(k4_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_168449]) ).
tcf(c_189202,plain,
! [X0: $i] :
( v4_membered(k2_relat_1(k8_relat_1(k4_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_168448]) ).
tcf(c_189203,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(k8_relat_1(k3_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_168454]) ).
tcf(c_189204,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(k8_relat_1(k3_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_168453]) ).
tcf(c_189205,plain,
! [X0: $i] :
( v3_membered(k2_relat_1(k8_relat_1(k3_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_168452]) ).
tcf(c_189206,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(k8_relat_1(k1_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_168442]) ).
tcf(c_189207,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(k8_relat_1(k1_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_168441]) ).
tcf(c_189208,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(k8_relat_1(k5_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_168447]) ).
tcf(c_189209,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(k8_relat_1(k5_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_168446]) ).
tcf(c_189210,plain,
! [X0: $i] :
( v3_membered(k2_relat_1(k8_relat_1(k5_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_168445]) ).
tcf(c_189211,plain,
! [X0: $i] :
( v4_membered(k2_relat_1(k8_relat_1(k5_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_168444]) ).
tcf(c_189212,plain,
! [X0: $i] :
( v5_membered(k2_relat_1(k8_relat_1(k5_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_168443]) ).
tcf(c_189213,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(k8_relat_1(k2_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_168455]) ).
tcf(c_189381,plain,
~ r2_hidden(k3_tarski(k1_numbers),np__0),
inference(superposition,[status(thm)],[c_189020,c_168801]) ).
tcf(c_189383,plain,
r1_tarski(np__0,k3_tarski(k1_numbers)),
inference(superposition,[status(thm)],[c_189020,c_3412]) ).
tcf(c_189389,plain,
( v1_xboole_0(k1_zfmisc_1(np__0))
| m1_subset_1(np__0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_171085,c_182705]) ).
tcf(c_189393,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK87(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_182705,c_1721]) ).
tcf(c_189397,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK87(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_182705,c_771]) ).
tcf(c_189412,plain,
( v1_xboole_0(k5_numbers)
| ~ v3_xreal_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_182705,c_3350]) ).
tcf(c_189413,plain,
( v1_xboole_0(k5_numbers)
| v1_int_1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_182705,c_3351]) ).
tcf(c_189414,plain,
( v1_xboole_0(k5_numbers)
| v1_xreal_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_182705,c_3349]) ).
tcf(c_189415,plain,
( v1_xboole_0(k5_numbers)
| v1_xcmplx_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_182705,c_3348]) ).
tcf(c_189416,plain,
( v1_xboole_0(k5_numbers)
| v4_ordinal2(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_182705,c_3347]) ).
tcf(c_189417,plain,
( v1_xboole_0(k5_numbers)
| v3_ordinal1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_182705,c_3346]) ).
tcf(c_189418,plain,
( v1_xboole_0(k5_numbers)
| v1_ordinal1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_182705,c_3345]) ).
tcf(c_189419,plain,
( v1_xboole_0(k5_numbers)
| v1_card_1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_182705,c_3344]) ).
tcf(c_189420,plain,
( v1_xboole_0(k5_numbers)
| v1_finset_1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_182705,c_3334]) ).
tcf(c_189421,plain,
( v1_xboole_0(k8_qc_lang1)
| ~ r3_qc_lang2(sK87(k8_qc_lang1),sK87(k8_qc_lang1)) ),
inference(superposition,[status(thm)],[c_182705,c_3610]) ).
tcf(c_189422,plain,
( v1_xboole_0(k8_qc_lang1)
| ~ r1_qc_lang2(sK87(k8_qc_lang1),k11_qc_lang1) ),
inference(superposition,[status(thm)],[c_182705,c_3572]) ).
tcf(c_189426,plain,
( v1_xboole_0(k1_zfmisc_1(np__0))
| v1_finset_1(sK87(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_182705,c_165485]) ).
tcf(c_189445,plain,
( v1_finset_1(np__0)
| v1_xboole_0(k1_zfmisc_1(np__0)) ),
inference(light_normalisation,[status(thm)],[c_189426,c_171085]) ).
tcf(c_189446,plain,
~ r1_qc_lang2(sK87(k8_qc_lang1),k11_qc_lang1),
inference(forward_subsumption_resolution,[status(thm)],[c_189422,c_3611]) ).
tcf(c_189447,plain,
! [X0: $i] : v1_finset_1(sK87(k5_finsub_1(X0))),
inference(forward_subsumption_resolution,[status(thm)],[c_189397,c_182678]) ).
tcf(c_189448,plain,
~ r3_qc_lang2(sK87(k8_qc_lang1),sK87(k8_qc_lang1)),
inference(forward_subsumption_resolution,[status(thm)],[c_189421,c_3611]) ).
tcf(c_189454,plain,
v1_finset_1(sK87(k1_zfmisc_1(sK138))),
inference(superposition,[status(thm)],[c_177293,c_189447]) ).
tcf(c_189455,plain,
v1_finset_1(sK87(k1_zfmisc_1(sK143))),
inference(superposition,[status(thm)],[c_177299,c_189447]) ).
tcf(c_189456,plain,
v1_finset_1(sK87(k1_zfmisc_1(sK357))),
inference(superposition,[status(thm)],[c_177300,c_189447]) ).
tcf(c_189457,plain,
! [X0: $i] : k2_relat_1(sK356(sK87(k5_finsub_1(X0)))) = sK87(k5_finsub_1(X0)),
inference(superposition,[status(thm)],[c_189447,c_2072]) ).
tcf(c_189458,plain,
! [X0: $i] : k1_zfmisc_1(sK87(k5_finsub_1(X0))) = k5_finsub_1(sK87(k5_finsub_1(X0))),
inference(superposition,[status(thm)],[c_189447,c_768]) ).
tcf(c_189461,plain,
k2_relat_1(sK356(sK87(k1_zfmisc_1(sK138)))) = sK87(k1_zfmisc_1(sK138)),
inference(superposition,[status(thm)],[c_189454,c_2072]) ).
tcf(c_189462,plain,
k1_zfmisc_1(sK87(k1_zfmisc_1(sK138))) = k5_finsub_1(sK87(k1_zfmisc_1(sK138))),
inference(superposition,[status(thm)],[c_189454,c_768]) ).
tcf(c_189463,plain,
k2_relat_1(sK356(sK87(k1_zfmisc_1(sK143)))) = sK87(k1_zfmisc_1(sK143)),
inference(superposition,[status(thm)],[c_189455,c_2072]) ).
tcf(c_189464,plain,
k1_zfmisc_1(sK87(k1_zfmisc_1(sK143))) = k5_finsub_1(sK87(k1_zfmisc_1(sK143))),
inference(superposition,[status(thm)],[c_189455,c_768]) ).
tcf(c_189465,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_187597,c_78840,c_187597]) ).
tcf(c_189472,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK81(sK81(sK81(sK81(X0))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_189465,c_100]) ).
tcf(c_189473,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_189465,c_1723]) ).
tcf(c_189474,plain,
! [X0: $i] :
( v1_xreal_0(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_189465,c_1722]) ).
tcf(c_189475,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_189465,c_1721]) ).
tcf(c_189476,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_189465,c_425]) ).
tcf(c_189477,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(u1_struct_0(sK81(sK81(sK81(sK81(X0))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_189465,c_423]) ).
tcf(c_189478,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_189465,c_78786]) ).
tcf(c_189490,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK81(sK81(sK81(sK81(X0))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189477,c_121]) ).
tcf(c_189530,plain,
k4_relat_1(k4_relat_1(sK90)) = sK90,
inference(superposition,[status(thm)],[c_437,c_3920]) ).
tcf(c_189531,plain,
k4_relat_1(k4_relat_1(np__0)) = np__0,
inference(superposition,[status(thm)],[c_2077,c_3920]) ).
tcf(c_189532,plain,
! [X0: $i,X1: $i] : k4_relat_1(k4_relat_1(k2_zfmisc_1(X0,X1))) = k2_zfmisc_1(X0,X1),
inference(superposition,[status(thm)],[c_623,c_3920]) ).
tcf(c_189533,plain,
k4_relat_1(k4_relat_1(sK119)) = sK119,
inference(superposition,[status(thm)],[c_633,c_3920]) ).
tcf(c_189534,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k4_relat_1(k4_relat_1(sK121(X0))) = sK121(X0) ) ),
inference(superposition,[status(thm)],[c_650,c_3920]) ).
tcf(c_189535,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k4_relat_1(k4_relat_1(sK120(X0))) = sK120(X0) ) ),
inference(superposition,[status(thm)],[c_652,c_3920]) ).
tcf(c_189536,plain,
k4_relat_1(k4_relat_1(sK138)) = sK138,
inference(superposition,[status(thm)],[c_781,c_3920]) ).
tcf(c_189537,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k4_relat_1(k4_relat_1(sK146(X0,X1))) = sK146(X0,X1) ) ),
inference(superposition,[status(thm)],[c_840,c_3920]) ).
tcf(c_189538,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k4_relat_1(k4_relat_1(sK147(X0,X1))) = sK147(X0,X1) ) ),
inference(superposition,[status(thm)],[c_847,c_3920]) ).
tcf(c_189539,plain,
! [X0: $i] :
( ( k4_relat_1(k4_relat_1(k1_relat_1(X0))) = k1_relat_1(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_873,c_3920]) ).
tcf(c_189542,plain,
! [X0: $i] :
( ( k4_relat_1(k4_relat_1(k2_relat_1(X0))) = k2_relat_1(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1007,c_3920]) ).
tcf(c_189543,plain,
! [X0: $i,X1: $i] :
( ( k4_relat_1(k4_relat_1(k4_xboole_0(X0,X1))) = k4_xboole_0(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1124,c_3920]) ).
tcf(c_189544,plain,
! [X0: $i,X1: $i] :
( ( k4_relat_1(k4_relat_1(k1_realset1(X0,X1))) = k1_realset1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1593,c_3920]) ).
tcf(c_189545,plain,
! [X0: $i,X1: $i] : k4_relat_1(k4_relat_1(sK276(X0,X1))) = sK276(X0,X1),
inference(superposition,[status(thm)],[c_1615,c_3920]) ).
tcf(c_189546,plain,
! [X0: $i,X1: $i] : k4_relat_1(k4_relat_1(sK277(X0,X1))) = sK277(X0,X1),
inference(superposition,[status(thm)],[c_1619,c_3920]) ).
tcf(c_189547,plain,
k4_relat_1(k4_relat_1(sK336)) = sK336,
inference(superposition,[status(thm)],[c_1830,c_3920]) ).
tcf(c_189548,plain,
! [X0: $i,X1: $i] :
( ( k4_relat_1(k4_relat_1(k7_relat_1(X0,X1))) = k7_relat_1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1905,c_3920]) ).
tcf(c_189549,plain,
! [X0: $i] :
( ( k4_relat_1(k4_relat_1(sK356(X0))) = sK356(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2069,c_3920]) ).
tcf(c_189550,plain,
k4_relat_1(k4_relat_1(sK357)) = sK357,
inference(superposition,[status(thm)],[c_2081,c_3920]) ).
tcf(c_189551,plain,
! [X0: $i] : k4_relat_1(k4_relat_1(sK358(X0))) = sK358(X0),
inference(superposition,[status(thm)],[c_2086,c_3920]) ).
tcf(c_189552,plain,
k4_relat_1(k4_relat_1(sK359)) = sK359,
inference(superposition,[status(thm)],[c_2091,c_3920]) ).
tcf(c_189553,plain,
! [X0: $i,X1: $i] :
( ( k4_relat_1(k4_relat_1(sK394(X0,X1))) = sK394(X0,X1) )
| ~ sP22(X0,X1) ),
inference(superposition,[status(thm)],[c_2446,c_3920]) ).
tcf(c_189554,plain,
! [X0: $i] : k4_relat_1(k4_relat_1(k6_partfun1(X0))) = k6_partfun1(X0),
inference(superposition,[status(thm)],[c_2834,c_3920]) ).
tcf(c_189555,plain,
! [X0: $i,X1: $i] :
( ( k4_relat_1(k4_relat_1(k8_relat_1(X1,X0))) = k8_relat_1(X1,X0) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3870,c_3920]) ).
tcf(c_189556,plain,
! [X0: $i] :
( ( k4_relat_1(k4_relat_1(k4_relat_1(X0))) = k4_relat_1(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3937,c_3920]) ).
tcf(c_189557,plain,
! [X0: $i] :
( ( k4_relat_1(k4_relat_1(k4_relat_1(X0))) = k4_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3921,c_3920]) ).
tcf(c_189558,plain,
! [X0: $i,X1: $i] :
( ( k4_relat_1(k4_relat_1(k1_setfam_1(k2_tarski(X1,X0)))) = k1_setfam_1(k2_tarski(X1,X0)) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_49629,c_3920]) ).
tcf(c_189559,plain,
! [X0: $i,X1: $i] : k4_relat_1(k4_relat_1(sK43(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) = sK43(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(superposition,[status(thm)],[c_174999,c_3920]) ).
tcf(c_189560,plain,
( ( k4_relat_1(k4_relat_1(sK87(k1_zfmisc_1(u1_struct_0(sK42))))) = sK87(k1_zfmisc_1(u1_struct_0(sK42))) )
| ~ v1_relat_1(u1_struct_0(sK42)) ),
inference(superposition,[status(thm)],[c_176212,c_3920]) ).
tcf(c_189561,plain,
! [X0: $i] :
( ( k4_relat_1(k4_relat_1(sK43(X0))) = sK43(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_178197,c_3920]) ).
tcf(c_189562,plain,
k4_relat_1(k4_relat_1(sK135(sK138))) = sK135(sK138),
inference(superposition,[status(thm)],[c_179066,c_3920]) ).
tcf(c_189563,plain,
( ( k4_relat_1(k4_relat_1(sK135(sK143))) = sK135(sK143) )
| ~ v1_relat_1(sK143) ),
inference(superposition,[status(thm)],[c_179191,c_3920]) ).
tcf(c_189564,plain,
k4_relat_1(k4_relat_1(sK135(sK357))) = sK135(sK357),
inference(superposition,[status(thm)],[c_181345,c_3920]) ).
tcf(c_189738,plain,
k2_relat_1(sK356(sK87(k1_zfmisc_1(sK357)))) = sK87(k1_zfmisc_1(sK357)),
inference(superposition,[status(thm)],[c_189456,c_2072]) ).
tcf(c_189739,plain,
k1_zfmisc_1(sK87(k1_zfmisc_1(sK357))) = k5_finsub_1(sK87(k1_zfmisc_1(sK357))),
inference(superposition,[status(thm)],[c_189456,c_768]) ).
tcf(c_189750,plain,
( v1_xboole_0(k5_numbers)
| ~ v2_xreal_0(sK87(k5_numbers))
| ~ v3_xreal_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_189414,c_3329]) ).
tcf(c_189751,plain,
( v1_xboole_0(k5_numbers)
| v2_xreal_0(sK87(k5_numbers))
| v3_xreal_0(sK87(k5_numbers))
| v1_xboole_0(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_189414,c_3326]) ).
tcf(c_189782,plain,
( v1_xboole_0(k5_numbers)
| v1_classes2(sK87(k5_numbers))
| ~ v2_classes1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_189418,c_3174]) ).
tcf(c_189790,plain,
( v1_xboole_0(k5_numbers)
| ( sK389(sK87(k5_numbers)) = sK87(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_189419,c_2422]) ).
tcf(c_189791,plain,
( v1_xboole_0(k5_numbers)
| v4_ordinal1(sK87(k5_numbers))
| v1_finset_1(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_189419,c_3175]) ).
tcf(c_189801,plain,
( v1_xboole_0(k5_numbers)
| ( k2_relat_1(sK356(sK87(k5_numbers))) = sK87(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_189420,c_2072]) ).
tcf(c_189802,plain,
( v1_xboole_0(k5_numbers)
| ( k1_zfmisc_1(sK87(k5_numbers)) = k5_finsub_1(sK87(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_189420,c_768]) ).
tcf(c_189807,plain,
( r1_tarski(k1_relat_1(np__0),np__0)
| ~ v1_relat_1(sK90) ),
inference(superposition,[status(thm)],[c_182776,c_1930]) ).
tcf(c_189808,plain,
( r1_tarski(np__0,sK90)
| ~ v1_relat_1(sK90) ),
inference(superposition,[status(thm)],[c_182776,c_1929]) ).
tcf(c_189810,plain,
( r1_tarski(np__0,np__0)
| ~ v1_relat_1(sK90) ),
inference(light_normalisation,[status(thm)],[c_189807,c_865]) ).
tcf(c_189811,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_188277,c_78840,c_188277]) ).
tcf(c_189818,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_189811,c_100]) ).
tcf(c_189819,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_189811,c_1723]) ).
tcf(c_189820,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_189811,c_1722]) ).
tcf(c_189821,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_189811,c_1721]) ).
tcf(c_189822,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_189811,c_425]) ).
tcf(c_189823,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_189811,c_423]) ).
tcf(c_189824,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_189811,c_78786]) ).
tcf(c_189836,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189823,c_121]) ).
tcf(c_189852,plain,
! [X0: $i] :
( r1_tarski(np__0,k6_partfun1(X0))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_2838,c_3977]) ).
tcf(c_189853,plain,
! [X0: $i] :
( r1_tarski(k6_partfun1(X0),np__0)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_2838,c_3977]) ).
tcf(c_189854,plain,
! [X0: $i,X1: $i] :
( v5_membered(k6_partfun1(X0))
| ~ v5_membered(k6_partfun1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_3977,c_2333]) ).
tcf(c_189855,plain,
! [X0: $i,X1: $i] :
( v2_membered(k6_partfun1(X0))
| ~ v2_membered(k6_partfun1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_3977,c_2241]) ).
tcf(c_189856,plain,
! [X0: $i,X1: $i] :
( v3_membered(k6_partfun1(X0))
| ~ v3_membered(k6_partfun1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_3977,c_2215]) ).
tcf(c_189857,plain,
! [X0: $i,X1: $i] :
( v4_membered(k6_partfun1(X0))
| ~ v4_membered(k6_partfun1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_3977,c_2107]) ).
tcf(c_189858,plain,
! [X0: $i,X1: $i] :
( v1_membered(k6_partfun1(X0))
| ~ v1_membered(k6_partfun1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_3977,c_1733]) ).
tcf(c_189859,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k6_partfun1(X0))
| ~ v1_finset_1(k6_partfun1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_3977,c_802]) ).
tcf(c_189861,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k6_partfun1(X0),k6_partfun1(X1)) ),
inference(superposition,[status(thm)],[c_3977,c_376]) ).
tcf(c_189890,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_168873,c_3978]) ).
tcf(c_189894,plain,
! [X0: $i] :
( r1_tarski(X0,np__0)
| ~ r1_tarski(k6_partfun1(X0),np__0) ),
inference(superposition,[status(thm)],[c_2838,c_3978]) ).
tcf(c_189903,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_subset_1(X1,X0),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_7357,c_727]) ).
tcf(c_189911,plain,
( r1_tarski(k1_relat_1(np__0),np__0)
| ~ v1_relat_1(sK119) ),
inference(superposition,[status(thm)],[c_182779,c_1930]) ).
tcf(c_189912,plain,
( r1_tarski(np__0,sK119)
| ~ v1_relat_1(sK119) ),
inference(superposition,[status(thm)],[c_182779,c_1929]) ).
tcf(c_189914,plain,
( r1_tarski(np__0,np__0)
| ~ v1_relat_1(sK119) ),
inference(light_normalisation,[status(thm)],[c_189911,c_865]) ).
tcf(c_189915,plain,
( r1_tarski(k1_relat_1(np__0),np__0)
| ~ v1_relat_1(sK138) ),
inference(superposition,[status(thm)],[c_182782,c_1930]) ).
tcf(c_189916,plain,
( r1_tarski(np__0,sK138)
| ~ v1_relat_1(sK138) ),
inference(superposition,[status(thm)],[c_182782,c_1929]) ).
tcf(c_189918,plain,
( r1_tarski(np__0,np__0)
| ~ v1_relat_1(sK138) ),
inference(light_normalisation,[status(thm)],[c_189915,c_865]) ).
tcf(c_189919,plain,
( r1_tarski(k1_relat_1(np__0),np__0)
| ~ v1_relat_1(sK336) ),
inference(superposition,[status(thm)],[c_182793,c_1930]) ).
tcf(c_189920,plain,
( r1_tarski(np__0,sK336)
| ~ v1_relat_1(sK336) ),
inference(superposition,[status(thm)],[c_182793,c_1929]) ).
tcf(c_189922,plain,
( r1_tarski(np__0,np__0)
| ~ v1_relat_1(sK336) ),
inference(light_normalisation,[status(thm)],[c_189919,c_865]) ).
tcf(c_189923,plain,
( r1_tarski(k1_relat_1(np__0),np__0)
| ~ v1_relat_1(sK357) ),
inference(superposition,[status(thm)],[c_182796,c_1930]) ).
tcf(c_189924,plain,
( r1_tarski(np__0,sK357)
| ~ v1_relat_1(sK357) ),
inference(superposition,[status(thm)],[c_182796,c_1929]) ).
tcf(c_189926,plain,
( r1_tarski(np__0,np__0)
| ~ v1_relat_1(sK357) ),
inference(light_normalisation,[status(thm)],[c_189923,c_865]) ).
tcf(c_189927,plain,
( r1_tarski(k1_relat_1(np__0),np__0)
| ~ v1_relat_1(sK359) ),
inference(superposition,[status(thm)],[c_182798,c_1930]) ).
tcf(c_189928,plain,
( r1_tarski(np__0,sK359)
| ~ v1_relat_1(sK359) ),
inference(superposition,[status(thm)],[c_182798,c_1929]) ).
tcf(c_189930,plain,
( r1_tarski(np__0,np__0)
| ~ v1_relat_1(sK359) ),
inference(light_normalisation,[status(thm)],[c_189927,c_865]) ).
tcf(c_189931,plain,
( r1_tarski(np__0,k1_relat_1(sK90))
| ~ v1_relat_1(sK90) ),
inference(superposition,[status(thm)],[c_183028,c_1974]) ).
tcf(c_189932,plain,
( r1_tarski(np__0,k1_relat_1(sK119))
| ~ v1_relat_1(sK119) ),
inference(superposition,[status(thm)],[c_183031,c_1974]) ).
tcf(c_189933,plain,
( r1_tarski(np__0,k1_relat_1(sK138))
| ~ v1_relat_1(sK138) ),
inference(superposition,[status(thm)],[c_183034,c_1974]) ).
tcf(c_189934,plain,
( r1_tarski(np__0,k1_relat_1(sK336))
| ~ v1_relat_1(sK336) ),
inference(superposition,[status(thm)],[c_183045,c_1974]) ).
tcf(c_189935,plain,
( r1_tarski(np__0,k1_relat_1(sK357))
| ~ v1_relat_1(sK357) ),
inference(superposition,[status(thm)],[c_183048,c_1974]) ).
tcf(c_189936,plain,
( r1_tarski(np__0,k1_relat_1(sK359))
| ~ v1_relat_1(sK359) ),
inference(superposition,[status(thm)],[c_183050,c_1974]) ).
tcf(c_189937,plain,
! [X0: $i] : r1_tarski(k10_relat_1(np__0,X0),np__0),
inference(superposition,[status(thm)],[c_2838,c_183221]) ).
tcf(c_189938,plain,
! [X0: $i,X1: $i] :
( v5_membered(k10_relat_1(k6_partfun1(X0),X1))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_183221,c_2333]) ).
tcf(c_189939,plain,
! [X0: $i,X1: $i] :
( v2_membered(k10_relat_1(k6_partfun1(X0),X1))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_183221,c_2241]) ).
tcf(c_189940,plain,
! [X0: $i,X1: $i] :
( v3_membered(k10_relat_1(k6_partfun1(X0),X1))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_183221,c_2215]) ).
tcf(c_189941,plain,
! [X0: $i,X1: $i] :
( v4_membered(k10_relat_1(k6_partfun1(X0),X1))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_183221,c_2107]) ).
tcf(c_189942,plain,
! [X0: $i,X1: $i] :
( v1_membered(k10_relat_1(k6_partfun1(X0),X1))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_183221,c_1733]) ).
tcf(c_189943,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k10_relat_1(k6_partfun1(X0),X1))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_183221,c_802]) ).
tcf(c_189944,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k10_relat_1(k6_partfun1(X0),X1))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_183221,c_377]) ).
tcf(c_189945,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(X0,k10_relat_1(k6_partfun1(X0),X1)),
inference(superposition,[status(thm)],[c_183221,c_376]) ).
tcf(c_189946,plain,
! [X0: $i] : v1_finset_1(k10_relat_1(k6_partfun1(np__0),X0)),
inference(superposition,[status(thm)],[c_183221,c_173328]) ).
tcf(c_189947,plain,
! [X0: $i] : k10_relat_1(k6_partfun1(np__0),X0) = np__0,
inference(superposition,[status(thm)],[c_183221,c_390]) ).
tcf(c_189948,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k10_relat_1(k6_partfun1(k4_xboole_0(X0,X1)),X2),X1),
inference(superposition,[status(thm)],[c_183221,c_694]) ).
tcf(c_189949,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k10_relat_1(k6_partfun1(k4_xboole_0(X0,X1)),X2),X0),
inference(superposition,[status(thm)],[c_183221,c_693]) ).
tcf(c_189950,plain,
! [X0: $i] : v1_membered(k10_relat_1(k6_partfun1(k4_numbers),X0)),
inference(superposition,[status(thm)],[c_183221,c_168451]) ).
tcf(c_189951,plain,
! [X0: $i] : v2_membered(k10_relat_1(k6_partfun1(k4_numbers),X0)),
inference(superposition,[status(thm)],[c_183221,c_168450]) ).
tcf(c_189952,plain,
! [X0: $i] : v3_membered(k10_relat_1(k6_partfun1(k4_numbers),X0)),
inference(superposition,[status(thm)],[c_183221,c_168449]) ).
tcf(c_189953,plain,
! [X0: $i] : v4_membered(k10_relat_1(k6_partfun1(k4_numbers),X0)),
inference(superposition,[status(thm)],[c_183221,c_168448]) ).
tcf(c_189954,plain,
! [X0: $i] : v1_membered(k10_relat_1(k6_partfun1(k3_numbers),X0)),
inference(superposition,[status(thm)],[c_183221,c_168454]) ).
tcf(c_189955,plain,
! [X0: $i] : v2_membered(k10_relat_1(k6_partfun1(k3_numbers),X0)),
inference(superposition,[status(thm)],[c_183221,c_168453]) ).
tcf(c_189956,plain,
! [X0: $i] : v3_membered(k10_relat_1(k6_partfun1(k3_numbers),X0)),
inference(superposition,[status(thm)],[c_183221,c_168452]) ).
tcf(c_189957,plain,
! [X0: $i] : v1_membered(k10_relat_1(k6_partfun1(k1_numbers),X0)),
inference(superposition,[status(thm)],[c_183221,c_168442]) ).
tcf(c_189958,plain,
! [X0: $i] : v2_membered(k10_relat_1(k6_partfun1(k1_numbers),X0)),
inference(superposition,[status(thm)],[c_183221,c_168441]) ).
tcf(c_189959,plain,
! [X0: $i] : v1_membered(k10_relat_1(k6_partfun1(k5_numbers),X0)),
inference(superposition,[status(thm)],[c_183221,c_168447]) ).
tcf(c_189960,plain,
! [X0: $i] : v2_membered(k10_relat_1(k6_partfun1(k5_numbers),X0)),
inference(superposition,[status(thm)],[c_183221,c_168446]) ).
tcf(c_189961,plain,
! [X0: $i] : v3_membered(k10_relat_1(k6_partfun1(k5_numbers),X0)),
inference(superposition,[status(thm)],[c_183221,c_168445]) ).
tcf(c_189962,plain,
! [X0: $i] : v4_membered(k10_relat_1(k6_partfun1(k5_numbers),X0)),
inference(superposition,[status(thm)],[c_183221,c_168444]) ).
tcf(c_189963,plain,
! [X0: $i] : v5_membered(k10_relat_1(k6_partfun1(k5_numbers),X0)),
inference(superposition,[status(thm)],[c_183221,c_168443]) ).
tcf(c_189964,plain,
! [X0: $i] : v1_membered(k10_relat_1(k6_partfun1(k2_numbers),X0)),
inference(superposition,[status(thm)],[c_183221,c_168455]) ).
tcf(c_190007,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_188768,c_78840,c_188768]) ).
tcf(c_190014,plain,
! [X0: $i] :
( r1_tarski(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_190007,c_100]) ).
tcf(c_190015,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_190007,c_1723]) ).
tcf(c_190016,plain,
! [X0: $i] :
( v1_xreal_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_190007,c_1722]) ).
tcf(c_190017,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_190007,c_1721]) ).
tcf(c_190018,plain,
! [X0: $i] :
( v1_xboole_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_190007,c_425]) ).
tcf(c_190019,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_190007,c_423]) ).
tcf(c_190020,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_190007,c_78786]) ).
tcf(c_190032,plain,
! [X0: $i] :
( r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(X0))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190019,c_121]) ).
tcf(c_190055,plain,
k2_xboole_0(np__0,k1_setfam_1(k1_zfmisc_1(np__0))) = np__0,
inference(superposition,[status(thm)],[c_1112,c_49624]) ).
tcf(c_190056,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X0))) = X0,
inference(superposition,[status(thm)],[c_2041,c_49624]) ).
tcf(c_190057,plain,
k2_xboole_0(np__1,k1_setfam_1(k2_finseq_1(np__1))) = np__1,
inference(superposition,[status(thm)],[c_57872,c_49624]) ).
tcf(c_190059,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_zfmisc_1(X0,k1_setfam_1(k2_tarski(X0,X1))),k1_zfmisc_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_49624,c_505]) ).
tcf(c_190063,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_49624,c_553]) ).
tcf(c_190066,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(X1,X2)) = np__0 )
| ( k1_setfam_1(k2_tarski(X1,X2)) = k2_tarski(X0,X0) )
| ( k2_tarski(X0,X0) != X1 ) ),
inference(superposition,[status(thm)],[c_49624,c_519]) ).
tcf(c_190069,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( k1_setfam_1(k2_tarski(X1,X2)) = np__0 )
| ( k1_setfam_1(k2_tarski(X1,X2)) = X1 )
| ( k2_tarski(X0,X0) != X1 ) ),
inference(superposition,[status(thm)],[c_49624,c_511]) ).
tcf(c_190070,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_49624,c_718]) ).
tcf(c_190074,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_49624,c_551]) ).
tcf(c_190075,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_49624,c_537]) ).
tcf(c_190089,plain,
k2_xboole_0(np__1,np__1) = np__1,
inference(light_normalisation,[status(thm)],[c_190057,c_168377]) ).
tcf(c_190112,plain,
( v3_pre_topc(u1_struct_0(sK42),sK42)
| ~ l1_pre_topc(sK42)
| ~ v2_pre_topc(sK42) ),
inference(superposition,[status(thm)],[c_174970,c_65]) ).
tcf(c_190113,plain,
( v3_pre_topc(u1_struct_0(sK70),sK70)
| ~ l1_pre_topc(sK70)
| ~ v2_pre_topc(sK70) ),
inference(superposition,[status(thm)],[c_174961,c_65]) ).
tcf(c_190114,plain,
( v3_pre_topc(u1_struct_0(sK72),sK72)
| ~ l1_pre_topc(sK72)
| ~ v2_pre_topc(sK72) ),
inference(superposition,[status(thm)],[c_174962,c_65]) ).
tcf(c_190115,plain,
( v3_pre_topc(u1_struct_0(sK609),sK609)
| ~ l1_pre_topc(sK609)
| ~ v2_pre_topc(sK609) ),
inference(superposition,[status(thm)],[c_174963,c_65]) ).
tcf(c_190116,plain,
( v3_pre_topc(u1_struct_0(sK414),sK414)
| ~ l1_pre_topc(sK414)
| ~ v2_pre_topc(sK414) ),
inference(superposition,[status(thm)],[c_174964,c_65]) ).
tcf(c_190117,plain,
( v3_pre_topc(u1_struct_0(sK494),sK494)
| ~ l1_pre_topc(sK494)
| ~ v2_pre_topc(sK494) ),
inference(superposition,[status(thm)],[c_174965,c_65]) ).
tcf(c_190118,plain,
( v3_pre_topc(u1_struct_0(sK571),sK571)
| ~ l1_pre_topc(sK571)
| ~ v2_pre_topc(sK571) ),
inference(superposition,[status(thm)],[c_174966,c_65]) ).
tcf(c_190119,plain,
( v3_pre_topc(u1_struct_0(sK133),sK133)
| ~ l1_pre_topc(sK133)
| ~ v2_pre_topc(sK133) ),
inference(superposition,[status(thm)],[c_174967,c_65]) ).
tcf(c_190120,plain,
( v3_pre_topc(u1_struct_0(sK575),sK575)
| ~ l1_pre_topc(sK575)
| ~ v2_pre_topc(sK575) ),
inference(superposition,[status(thm)],[c_174968,c_65]) ).
tcf(c_190121,plain,
( v3_pre_topc(u1_struct_0(sK576),sK576)
| ~ l1_pre_topc(sK576)
| ~ v2_pre_topc(sK576) ),
inference(superposition,[status(thm)],[c_174969,c_65]) ).
tcf(c_190122,plain,
( v3_pre_topc(u1_struct_0(sK44),sK44)
| ~ l1_pre_topc(sK44)
| ~ v2_pre_topc(sK44) ),
inference(superposition,[status(thm)],[c_174971,c_65]) ).
tcf(c_190123,plain,
( v3_pre_topc(u1_struct_0(sK115),sK115)
| ~ l1_pre_topc(sK115)
| ~ v2_pre_topc(sK115) ),
inference(superposition,[status(thm)],[c_174973,c_65]) ).
tcf(c_190124,plain,
( v3_pre_topc(u1_struct_0(sK265),sK265)
| ~ l1_pre_topc(sK265)
| ~ v2_pre_topc(sK265) ),
inference(superposition,[status(thm)],[c_174974,c_65]) ).
tcf(c_190125,plain,
( v3_pre_topc(u1_struct_0(sK266),sK266)
| ~ l1_pre_topc(sK266)
| ~ v2_pre_topc(sK266) ),
inference(superposition,[status(thm)],[c_174975,c_65]) ).
tcf(c_190126,plain,
( v3_pre_topc(u1_struct_0(sK267),sK267)
| ~ l1_pre_topc(sK267)
| ~ v2_pre_topc(sK267) ),
inference(superposition,[status(thm)],[c_174976,c_65]) ).
tcf(c_190127,plain,
( v3_pre_topc(u1_struct_0(sK268),sK268)
| ~ l1_pre_topc(sK268)
| ~ v2_pre_topc(sK268) ),
inference(superposition,[status(thm)],[c_174977,c_65]) ).
tcf(c_190128,plain,
( v3_pre_topc(u1_struct_0(sK421),sK421)
| ~ l1_pre_topc(sK421)
| ~ v2_pre_topc(sK421) ),
inference(superposition,[status(thm)],[c_174978,c_65]) ).
tcf(c_190129,plain,
( v3_pre_topc(u1_struct_0(sK422),sK422)
| ~ l1_pre_topc(sK422)
| ~ v2_pre_topc(sK422) ),
inference(superposition,[status(thm)],[c_174979,c_65]) ).
tcf(c_190130,plain,
( v3_pre_topc(u1_struct_0(sK269),sK269)
| ~ l1_pre_topc(sK269)
| ~ v2_pre_topc(sK269) ),
inference(superposition,[status(thm)],[c_174980,c_65]) ).
tcf(c_190155,plain,
( v3_pre_topc(u1_struct_0(sK44),sK44)
| ~ v2_pre_topc(sK44) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190122,c_59]) ).
tcf(c_190185,plain,
v3_pre_topc(u1_struct_0(sK42),sK42),
inference(forward_subsumption_resolution,[status(thm)],[c_190112,c_57,c_56]) ).
tcf(c_190329,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_189478,c_78840,c_189478]) ).
tcf(c_190336,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_190329,c_100]) ).
tcf(c_190337,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_190329,c_1723]) ).
tcf(c_190338,plain,
! [X0: $i] :
( v1_xreal_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_190329,c_1722]) ).
tcf(c_190339,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_190329,c_1721]) ).
tcf(c_190340,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_190329,c_425]) ).
tcf(c_190341,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_190329,c_423]) ).
tcf(c_190342,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_190329,c_78786]) ).
tcf(c_190354,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190341,c_121]) ).
tcf(c_190372,plain,
( v4_pre_topc(u1_struct_0(sK42),sK42)
| ~ l1_pre_topc(sK42)
| ~ v2_pre_topc(sK42) ),
inference(superposition,[status(thm)],[c_174970,c_81]) ).
tcf(c_190373,plain,
( v4_pre_topc(u1_struct_0(sK70),sK70)
| ~ l1_pre_topc(sK70)
| ~ v2_pre_topc(sK70) ),
inference(superposition,[status(thm)],[c_174961,c_81]) ).
tcf(c_190374,plain,
( v4_pre_topc(u1_struct_0(sK72),sK72)
| ~ l1_pre_topc(sK72)
| ~ v2_pre_topc(sK72) ),
inference(superposition,[status(thm)],[c_174962,c_81]) ).
tcf(c_190375,plain,
( v4_pre_topc(u1_struct_0(sK609),sK609)
| ~ l1_pre_topc(sK609)
| ~ v2_pre_topc(sK609) ),
inference(superposition,[status(thm)],[c_174963,c_81]) ).
tcf(c_190376,plain,
( v4_pre_topc(u1_struct_0(sK414),sK414)
| ~ l1_pre_topc(sK414)
| ~ v2_pre_topc(sK414) ),
inference(superposition,[status(thm)],[c_174964,c_81]) ).
tcf(c_190377,plain,
( v4_pre_topc(u1_struct_0(sK494),sK494)
| ~ l1_pre_topc(sK494)
| ~ v2_pre_topc(sK494) ),
inference(superposition,[status(thm)],[c_174965,c_81]) ).
tcf(c_190378,plain,
( v4_pre_topc(u1_struct_0(sK571),sK571)
| ~ l1_pre_topc(sK571)
| ~ v2_pre_topc(sK571) ),
inference(superposition,[status(thm)],[c_174966,c_81]) ).
tcf(c_190379,plain,
( v4_pre_topc(u1_struct_0(sK133),sK133)
| ~ l1_pre_topc(sK133)
| ~ v2_pre_topc(sK133) ),
inference(superposition,[status(thm)],[c_174967,c_81]) ).
tcf(c_190380,plain,
( v4_pre_topc(u1_struct_0(sK575),sK575)
| ~ l1_pre_topc(sK575)
| ~ v2_pre_topc(sK575) ),
inference(superposition,[status(thm)],[c_174968,c_81]) ).
tcf(c_190381,plain,
( v4_pre_topc(u1_struct_0(sK576),sK576)
| ~ l1_pre_topc(sK576)
| ~ v2_pre_topc(sK576) ),
inference(superposition,[status(thm)],[c_174969,c_81]) ).
tcf(c_190382,plain,
( v4_pre_topc(u1_struct_0(sK44),sK44)
| ~ l1_pre_topc(sK44)
| ~ v2_pre_topc(sK44) ),
inference(superposition,[status(thm)],[c_174971,c_81]) ).
tcf(c_190383,plain,
( v4_pre_topc(u1_struct_0(sK115),sK115)
| ~ l1_pre_topc(sK115)
| ~ v2_pre_topc(sK115) ),
inference(superposition,[status(thm)],[c_174973,c_81]) ).
tcf(c_190384,plain,
( v4_pre_topc(u1_struct_0(sK265),sK265)
| ~ l1_pre_topc(sK265)
| ~ v2_pre_topc(sK265) ),
inference(superposition,[status(thm)],[c_174974,c_81]) ).
tcf(c_190385,plain,
( v4_pre_topc(u1_struct_0(sK266),sK266)
| ~ l1_pre_topc(sK266)
| ~ v2_pre_topc(sK266) ),
inference(superposition,[status(thm)],[c_174975,c_81]) ).
tcf(c_190386,plain,
( v4_pre_topc(u1_struct_0(sK267),sK267)
| ~ l1_pre_topc(sK267)
| ~ v2_pre_topc(sK267) ),
inference(superposition,[status(thm)],[c_174976,c_81]) ).
tcf(c_190387,plain,
( v4_pre_topc(u1_struct_0(sK268),sK268)
| ~ l1_pre_topc(sK268)
| ~ v2_pre_topc(sK268) ),
inference(superposition,[status(thm)],[c_174977,c_81]) ).
tcf(c_190388,plain,
( v4_pre_topc(u1_struct_0(sK421),sK421)
| ~ l1_pre_topc(sK421)
| ~ v2_pre_topc(sK421) ),
inference(superposition,[status(thm)],[c_174978,c_81]) ).
tcf(c_190389,plain,
( v4_pre_topc(u1_struct_0(sK422),sK422)
| ~ l1_pre_topc(sK422)
| ~ v2_pre_topc(sK422) ),
inference(superposition,[status(thm)],[c_174979,c_81]) ).
tcf(c_190390,plain,
( v4_pre_topc(u1_struct_0(sK269),sK269)
| ~ l1_pre_topc(sK269)
| ~ v2_pre_topc(sK269) ),
inference(superposition,[status(thm)],[c_174980,c_81]) ).
tcf(c_190415,plain,
( v4_pre_topc(u1_struct_0(sK44),sK44)
| ~ v2_pre_topc(sK44) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190382,c_59]) ).
tcf(c_190445,plain,
v4_pre_topc(u1_struct_0(sK42),sK42),
inference(forward_subsumption_resolution,[status(thm)],[c_190372,c_57,c_56]) ).
tcf(c_190518,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_189824,c_78840,c_189824]) ).
tcf(c_190525,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_190518,c_100]) ).
tcf(c_190526,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_190518,c_1723]) ).
tcf(c_190527,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_190518,c_1722]) ).
tcf(c_190528,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_190518,c_1721]) ).
tcf(c_190529,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_190518,c_425]) ).
tcf(c_190530,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_190518,c_423]) ).
tcf(c_190531,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_190518,c_78786]) ).
tcf(c_190543,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190530,c_121]) ).
tcf(c_190567,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ~ r2_hidden(X0,k2_zfmisc_1(k2_tarski(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_1108,c_382]) ).
tcf(c_190568,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r1_tarski(X0,k2_zfmisc_1(k4_xboole_0(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1143,c_382]) ).
tcf(c_190569,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(X0) = np__0 )
| ~ r2_hidden(k2_zfmisc_1(k1_setfam_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_3411,c_382]) ).
tcf(c_190585,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,k2_tarski(X0,X0))) ),
inference(superposition,[status(thm)],[c_1108,c_383]) ).
tcf(c_190586,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,X2) = np__0 )
| ~ r1_tarski(X0,k2_zfmisc_1(X1,k4_xboole_0(X0,X2))) ),
inference(superposition,[status(thm)],[c_1143,c_383]) ).
tcf(c_190587,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(X1) = np__0 )
| ~ r2_hidden(k2_zfmisc_1(X0,k1_setfam_1(X1)),X1) ),
inference(superposition,[status(thm)],[c_3411,c_383]) ).
tcf(c_190603,plain,
! [X0: $i,X1: $i] :
( ( u1_struct_0(X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_251,c_443]) ).
tcf(c_190605,plain,
! [X0: $i,X1: $i] :
( ( k1_relat_1(X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_872,c_443]) ).
tcf(c_190606,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1006,c_443]) ).
tcf(c_190607,plain,
! [X0: $i,X1: $i] :
( ( k4_relat_1(X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3936,c_443]) ).
tcf(c_190608,plain,
! [X0: $i,X1: $i] :
( ( k6_partfun1(X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_177663,c_443]) ).
tcf(c_190609,plain,
! [X0: $i,X1: $i] :
( ( sK43(X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_176253,c_443]) ).
tcf(c_190634,plain,
! [X0: $i] :
( ( k2_relat_1(sK356(k6_partfun1(X0))) = k6_partfun1(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_183264,c_2072]) ).
tcf(c_190635,plain,
! [X0: $i] :
( ( k1_zfmisc_1(k6_partfun1(X0)) = k5_finsub_1(k6_partfun1(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_183264,c_768]) ).
tcf(c_190644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r2_hidden(k2_tarski(X0,X0),k1_zfmisc_1(k2_enumset1(X1,X2,X3,X0))),
inference(superposition,[status(thm)],[c_53,c_183409]) ).
tcf(c_190645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r2_hidden(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),k1_zfmisc_1(k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X3,X2)))),
inference(superposition,[status(thm)],[c_501,c_183409]) ).
tcf(c_190646,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(k2_zfmisc_1(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,k2_xboole_0(X2,X1)))),
inference(superposition,[status(thm)],[c_504,c_183409]) ).
tcf(c_190647,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(k2_zfmisc_1(X0,X1),k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(X2,X0),X1))),
inference(superposition,[status(thm)],[c_503,c_183409]) ).
tcf(c_190648,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(k4_xboole_0(X0,X1),k1_zfmisc_1(k4_xboole_0(k2_xboole_0(X2,X0),X1))),
inference(superposition,[status(thm)],[c_526,c_183409]) ).
tcf(c_190651,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_546,c_183409]) ).
tcf(c_190653,plain,
! [X0: $i,X1: $i] : r2_hidden(k1_setfam_1(k2_tarski(X0,X1)),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_49624,c_183409]) ).
tcf(c_190654,plain,
! [X0: $i,X1: $i] : r2_hidden(k4_xboole_0(X0,X1),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_50200,c_183409]) ).
tcf(c_190655,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(X1)
| ~ v3_ordinal1(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_183409,c_2262]) ).
tcf(c_190656,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X1)
| ~ v2_membered(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_183409,c_2249]) ).
tcf(c_190657,plain,
! [X0: $i,X1: $i] :
( v1_int_1(X1)
| ~ v4_membered(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_183409,c_2115]) ).
tcf(c_190658,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ v1_membered(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_183409,c_1718]) ).
tcf(c_190659,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X1)
| ~ v5_membered(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_183409,c_1270]) ).
tcf(c_190661,plain,
! [X0: $i,X1: $i] : r2_hidden(sK87(k1_zfmisc_1(k2_xboole_0(X0,X1))),k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_183409,c_427]) ).
tcf(c_190662,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_183409,c_426]) ).
tcf(c_190663,plain,
! [X0: $i,X1: $i] : m1_subset_1(X0,k1_zfmisc_1(k2_xboole_0(X1,X0))),
inference(superposition,[status(thm)],[c_183409,c_421]) ).
tcf(c_190665,plain,
! [X0: $i] : k1_setfam_1(k1_zfmisc_1(k2_xboole_0(X0,np__0))) = np__0,
inference(superposition,[status(thm)],[c_183409,c_3410]) ).
tcf(c_190707,plain,
! [X0: $i] : ~ v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_168873,c_183590]) ).
tcf(c_190709,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1))),X1),
inference(superposition,[status(thm)],[c_537,c_183590]) ).
tcf(c_190710,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(k1_zfmisc_1(k3_tarski(X0))),X0),
inference(superposition,[status(thm)],[c_1193,c_183590]) ).
tcf(c_190711,plain,
~ v4_membered(k1_zfmisc_1(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_2112,c_183590]) ).
tcf(c_190712,plain,
~ v3_membered(k1_zfmisc_1(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_2216,c_183590]) ).
tcf(c_190713,plain,
~ v2_membered(k1_zfmisc_1(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_2246,c_183590]) ).
tcf(c_190714,plain,
~ v5_membered(k1_zfmisc_1(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_2334,c_183590]) ).
tcf(c_190715,plain,
~ v1_membered(k1_zfmisc_1(k1_zfmisc_1(k2_numbers))),
inference(superposition,[status(thm)],[c_3060,c_183590]) ).
tcf(c_190718,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_190020,c_78840,c_190020]) ).
tcf(c_190725,plain,
! [X0: $i] :
( r1_tarski(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_190718,c_100]) ).
tcf(c_190726,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_190718,c_1723]) ).
tcf(c_190727,plain,
! [X0: $i] :
( v1_xreal_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_190718,c_1722]) ).
tcf(c_190728,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_190718,c_1721]) ).
tcf(c_190729,plain,
! [X0: $i] :
( v1_xboole_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_190718,c_425]) ).
tcf(c_190730,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_190718,c_423]) ).
tcf(c_190731,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_190718,c_78786]) ).
tcf(c_190743,plain,
! [X0: $i] :
( r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(X0)))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190730,c_121]) ).
tcf(c_190758,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(np__0),k5_finsub_1(X0)),k5_finsub_1(k2_xboole_0(np__0,X0))),
inference(superposition,[status(thm)],[c_47208,c_492]) ).
tcf(c_190759,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(sK138),k5_finsub_1(X0)),k5_finsub_1(k2_xboole_0(sK138,X0))),
inference(superposition,[status(thm)],[c_177293,c_492]) ).
tcf(c_190760,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(sK143),k5_finsub_1(X0)),k5_finsub_1(k2_xboole_0(sK143,X0))),
inference(superposition,[status(thm)],[c_177299,c_492]) ).
tcf(c_190761,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(sK357),k5_finsub_1(X0)),k5_finsub_1(k2_xboole_0(sK357,X0))),
inference(superposition,[status(thm)],[c_177300,c_492]) ).
tcf(c_190762,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(X0),k1_zfmisc_1(np__0)),k5_finsub_1(k2_xboole_0(X0,np__0))),
inference(superposition,[status(thm)],[c_47208,c_492]) ).
tcf(c_190763,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(X0),k1_zfmisc_1(sK138)),k5_finsub_1(k2_xboole_0(X0,sK138))),
inference(superposition,[status(thm)],[c_177293,c_492]) ).
tcf(c_190764,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(X0),k1_zfmisc_1(sK143)),k5_finsub_1(k2_xboole_0(X0,sK143))),
inference(superposition,[status(thm)],[c_177299,c_492]) ).
tcf(c_190765,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(X0),k1_zfmisc_1(sK357)),k5_finsub_1(k2_xboole_0(X0,sK357))),
inference(superposition,[status(thm)],[c_177300,c_492]) ).
tcf(c_190767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(k2_enumset1(X0,X0,X1,X2)),k5_finsub_1(k2_tarski(X3,X3))),k5_finsub_1(k2_enumset1(X0,X1,X2,X3))),
inference(superposition,[status(thm)],[c_53,c_492]) ).
tcf(c_190768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(k2_zfmisc_1(k4_xboole_0(X0,X1),X2)),k5_finsub_1(k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))),k5_finsub_1(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))),
inference(superposition,[status(thm)],[c_501,c_492]) ).
tcf(c_190769,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(k2_zfmisc_1(X0,X1)),k5_finsub_1(k2_zfmisc_1(X0,X2))),k5_finsub_1(k2_zfmisc_1(X0,k2_xboole_0(X1,X2)))),
inference(superposition,[status(thm)],[c_504,c_492]) ).
tcf(c_190770,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(k2_zfmisc_1(X0,X1)),k5_finsub_1(k2_zfmisc_1(X2,X1))),k5_finsub_1(k2_zfmisc_1(k2_xboole_0(X0,X2),X1))),
inference(superposition,[status(thm)],[c_503,c_492]) ).
tcf(c_190771,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(k4_xboole_0(X0,X1)),k5_finsub_1(k4_xboole_0(X2,X1))),k5_finsub_1(k4_xboole_0(k2_xboole_0(X0,X2),X1))),
inference(superposition,[status(thm)],[c_526,c_492]) ).
tcf(c_190772,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(np__0)),k5_finsub_1(X0)),
inference(superposition,[status(thm)],[c_544,c_492]) ).
tcf(c_190773,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X0)),k5_finsub_1(X0)),
inference(superposition,[status(thm)],[c_545,c_492]) ).
tcf(c_190774,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)),k5_finsub_1(k2_xboole_0(X1,X0))),
inference(superposition,[status(thm)],[c_546,c_492]) ).
tcf(c_190775,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(np__0),k5_finsub_1(X0)),k5_finsub_1(X0)),
inference(superposition,[status(thm)],[c_169170,c_492]) ).
tcf(c_190776,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(k1_setfam_1(k2_tarski(X0,X1)))),k5_finsub_1(X0)),
inference(superposition,[status(thm)],[c_49624,c_492]) ).
tcf(c_190777,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(k4_xboole_0(X0,X1))),k5_finsub_1(X0)),
inference(superposition,[status(thm)],[c_50200,c_492]) ).
tcf(c_190778,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)))
| ~ v5_membered(k5_finsub_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_492,c_2333]) ).
tcf(c_190779,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)))
| ~ v2_membered(k5_finsub_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_492,c_2241]) ).
tcf(c_190780,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)))
| ~ v3_membered(k5_finsub_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_492,c_2215]) ).
tcf(c_190781,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)))
| ~ v4_membered(k5_finsub_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_492,c_2107]) ).
tcf(c_190782,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)))
| ~ v1_membered(k5_finsub_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_492,c_1733]) ).
tcf(c_190783,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)))
| ~ v1_finset_1(k5_finsub_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_492,c_802]) ).
tcf(c_190784,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)))
| ~ v1_relat_1(k5_finsub_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_492,c_377]) ).
tcf(c_190785,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k5_finsub_1(k2_xboole_0(X0,X1)),k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1))),
inference(superposition,[status(thm)],[c_492,c_376]) ).
tcf(c_190786,plain,
! [X0: $i,X1: $i] : r1_tarski(k5_finsub_1(X0),k5_finsub_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_492,c_536]) ).
tcf(c_190787,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(np__0),k5_finsub_1(X0)),k5_finsub_1(X0)),
inference(light_normalisation,[status(thm)],[c_190775,c_47208]) ).
tcf(c_190788,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(X0),k1_zfmisc_1(np__0)),k5_finsub_1(X0)),
inference(light_normalisation,[status(thm)],[c_190772,c_47208]) ).
tcf(c_190790,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(sK357),k5_finsub_1(X0)),k5_finsub_1(k2_xboole_0(X0,sK357))),
inference(theory_normalisation,[status(thm)],[c_190765,c_543,c_546,c_3131,c_3133]) ).
tcf(c_190791,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(sK143),k5_finsub_1(X0)),k5_finsub_1(k2_xboole_0(X0,sK143))),
inference(theory_normalisation,[status(thm)],[c_190764,c_543,c_546,c_3131,c_3133]) ).
tcf(c_190792,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(sK138),k5_finsub_1(X0)),k5_finsub_1(k2_xboole_0(X0,sK138))),
inference(theory_normalisation,[status(thm)],[c_190763,c_543,c_546,c_3131,c_3133]) ).
tcf(c_190793,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(np__0),k5_finsub_1(X0)),k5_finsub_1(k2_xboole_0(X0,np__0))),
inference(theory_normalisation,[status(thm)],[c_190762,c_543,c_546,c_3131,c_3133]) ).
tcf(c_190810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(k2_enumset1(X0,X0,X1,X2)),k5_finsub_1(k2_tarski(X3,X3))),k1_zfmisc_1(k2_enumset1(X0,X1,X2,X3))),
inference(light_normalisation,[status(thm)],[c_190767,c_177302]) ).
tcf(c_190843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_finset_1(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))
| ~ v1_finset_1(k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))
| ~ v1_finset_1(k2_zfmisc_1(k4_xboole_0(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_501,c_494]) ).
tcf(c_190844,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_zfmisc_1(X0,k2_xboole_0(X1,X2)))
| ~ v1_finset_1(k2_zfmisc_1(X0,X2))
| ~ v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_504,c_494]) ).
tcf(c_190845,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_zfmisc_1(k2_xboole_0(X0,X2),X1))
| ~ v1_finset_1(k2_zfmisc_1(X2,X1))
| ~ v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_503,c_494]) ).
tcf(c_190846,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k4_xboole_0(k2_xboole_0(X0,X2),X1))
| ~ v1_finset_1(k4_xboole_0(X2,X1))
| ~ v1_finset_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_526,c_494]) ).
tcf(c_190849,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_xboole_0(X1,X0))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_546,c_494]) ).
tcf(c_190853,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(sK356(k2_xboole_0(X0,X1))) = k2_xboole_0(X0,X1) )
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_494,c_2072]) ).
tcf(c_190854,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(k2_xboole_0(X0,X1)) = k5_finsub_1(k2_xboole_0(X0,X1)) )
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_494,c_768]) ).
tcf(c_190889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_relat_1(k2_enumset1(X0,X1,X2,X3))
| ~ v1_relat_1(k2_tarski(X3,X3))
| ~ v1_relat_1(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_53,c_498]) ).
tcf(c_190890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_relat_1(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))
| ~ v1_relat_1(k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))
| ~ v1_relat_1(k2_zfmisc_1(k4_xboole_0(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_501,c_498]) ).
tcf(c_190891,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k2_zfmisc_1(X0,k2_xboole_0(X1,X2)))
| ~ v1_relat_1(k2_zfmisc_1(X0,X2))
| ~ v1_relat_1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_504,c_498]) ).
tcf(c_190892,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k2_zfmisc_1(k2_xboole_0(X0,X2),X1))
| ~ v1_relat_1(k2_zfmisc_1(X2,X1))
| ~ v1_relat_1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_503,c_498]) ).
tcf(c_190893,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k4_xboole_0(k2_xboole_0(X0,X2),X1))
| ~ v1_relat_1(k4_xboole_0(X2,X1))
| ~ v1_relat_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_526,c_498]) ).
tcf(c_190896,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_xboole_0(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_546,c_498]) ).
tcf(c_190900,plain,
! [X0: $i,X1: $i] :
( ( k4_relat_1(k4_relat_1(k2_xboole_0(X0,X1))) = k2_xboole_0(X0,X1) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_498,c_3920]) ).
tcf(c_190901,plain,
! [X0: $i,X1: $i] :
( ( k8_relat_1(np__0,k2_xboole_0(X0,X1)) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_498,c_3874]) ).
tcf(c_190902,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k2_xboole_0(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_498,c_1970]) ).
tcf(c_190903,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k2_xboole_0(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_498,c_1911]) ).
tcf(c_190904,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k2_xboole_0(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_498,c_1870]) ).
tcf(c_190905,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k2_xboole_0(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_498,c_968]) ).
tcf(c_190906,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(np__0,k2_xboole_0(X0,X1)) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_498,c_967]) ).
tcf(c_190907,plain,
! [X0: $i,X1: $i] :
( sP8(k2_xboole_0(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_498,c_931]) ).
tcf(c_190942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : v1_relat_1(k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3))),
inference(forward_subsumption_resolution,[status(thm)],[c_190890,c_623,c_623]) ).
tcf(c_190957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(k2_enumset1(X0,X0,X1,X2)),k1_zfmisc_1(k2_tarski(X3,X3))),k1_zfmisc_1(k2_enumset1(X0,X1,X2,X3))),
inference(superposition,[status(thm)],[c_53,c_507]) ).
tcf(c_190958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(k2_zfmisc_1(k4_xboole_0(X0,X1),X2)),k1_zfmisc_1(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_501,c_507]) ).
tcf(c_190959,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k1_zfmisc_1(k2_zfmisc_1(X0,X2))),k1_zfmisc_1(k2_zfmisc_1(X0,k2_xboole_0(X1,X2)))),
inference(superposition,[status(thm)],[c_504,c_507]) ).
tcf(c_190960,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k1_zfmisc_1(k2_zfmisc_1(X2,X1))),k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(X0,X2),X1))),
inference(superposition,[status(thm)],[c_503,c_507]) ).
tcf(c_190961,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(k4_xboole_0(X0,X1)),k1_zfmisc_1(k4_xboole_0(X2,X1))),k1_zfmisc_1(k4_xboole_0(k2_xboole_0(X0,X2),X1))),
inference(superposition,[status(thm)],[c_526,c_507]) ).
tcf(c_190962,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(np__0)),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_544,c_507]) ).
tcf(c_190963,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X0)),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_545,c_507]) ).
tcf(c_190964,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)),k1_zfmisc_1(k2_xboole_0(X1,X0))),
inference(superposition,[status(thm)],[c_546,c_507]) ).
tcf(c_190965,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(X0)),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_169170,c_507]) ).
tcf(c_190966,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1)))),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_49624,c_507]) ).
tcf(c_190967,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(k4_xboole_0(X0,X1))),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_50200,c_507]) ).
tcf(c_190968,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))
| ~ v5_membered(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_507,c_2333]) ).
tcf(c_190969,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))
| ~ v2_membered(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_507,c_2241]) ).
tcf(c_190970,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))
| ~ v3_membered(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_507,c_2215]) ).
tcf(c_190971,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))
| ~ v4_membered(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_507,c_2107]) ).
tcf(c_190972,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))
| ~ v1_membered(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_507,c_1733]) ).
tcf(c_190973,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))
| ~ v1_finset_1(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_507,c_802]) ).
tcf(c_190974,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))
| ~ v1_relat_1(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_507,c_377]) ).
tcf(c_190975,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k2_xboole_0(X0,X1)),k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),
inference(superposition,[status(thm)],[c_507,c_376]) ).
tcf(c_190976,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_507,c_536]) ).
tcf(c_191039,plain,
! [X0: $i] :
( r1_tarski(k9_relat_1(sK356(sK138),X0),sK138)
| ~ v1_relat_1(sK356(sK138)) ),
inference(superposition,[status(thm)],[c_183643,c_1875]) ).
tcf(c_191042,plain,
( r1_tarski(sK138,k3_relat_1(sK356(sK138)))
| ~ v1_relat_1(sK356(sK138)) ),
inference(superposition,[status(thm)],[c_183643,c_2877]) ).
tcf(c_191054,plain,
( v1_xboole_0(sK138)
| ~ v1_xboole_0(sK356(sK138)) ),
inference(superposition,[status(thm)],[c_183643,c_1006]) ).
tcf(c_191055,plain,
~ v1_xboole_0(sK356(sK138)),
inference(forward_subsumption_resolution,[status(thm)],[c_191054,c_780]) ).
tcf(c_191061,plain,
! [X0: $i] :
( r1_tarski(k9_relat_1(sK356(sK143),X0),sK143)
| ~ v1_relat_1(sK356(sK143)) ),
inference(superposition,[status(thm)],[c_183649,c_1875]) ).
tcf(c_191064,plain,
( r1_tarski(sK143,k3_relat_1(sK356(sK143)))
| ~ v1_relat_1(sK356(sK143)) ),
inference(superposition,[status(thm)],[c_183649,c_2877]) ).
tcf(c_191076,plain,
( v1_xboole_0(sK143)
| ~ v1_xboole_0(sK356(sK143)) ),
inference(superposition,[status(thm)],[c_183649,c_1006]) ).
tcf(c_191077,plain,
~ v1_xboole_0(sK356(sK143)),
inference(forward_subsumption_resolution,[status(thm)],[c_191076,c_817]) ).
tcf(c_191083,plain,
! [X0: $i] :
( r1_tarski(k9_relat_1(sK356(sK357),X0),sK357)
| ~ v1_relat_1(sK356(sK357)) ),
inference(superposition,[status(thm)],[c_183650,c_1875]) ).
tcf(c_191086,plain,
( r1_tarski(sK357,k3_relat_1(sK356(sK357)))
| ~ v1_relat_1(sK356(sK357)) ),
inference(superposition,[status(thm)],[c_183650,c_2877]) ).
tcf(c_191098,plain,
( v1_xboole_0(sK357)
| ~ v1_xboole_0(sK356(sK357)) ),
inference(superposition,[status(thm)],[c_183650,c_1006]) ).
tcf(c_191099,plain,
~ v1_xboole_0(sK356(sK357)),
inference(forward_subsumption_resolution,[status(thm)],[c_191098,c_2080]) ).
tcf(c_191105,plain,
! [X0: $i] :
( r1_tarski(k9_relat_1(sK356(np__0),X0),np__0)
| ~ v1_relat_1(sK356(np__0)) ),
inference(superposition,[status(thm)],[c_183653,c_1875]) ).
tcf(c_191106,plain,
( v1_xboole_0(sK356(np__0))
| ~ v1_xboole_0(np__0)
| ~ v1_relat_1(sK356(np__0)) ),
inference(superposition,[status(thm)],[c_183653,c_1008]) ).
tcf(c_191108,plain,
( r1_tarski(np__0,k3_relat_1(sK356(np__0)))
| ~ v1_relat_1(sK356(np__0)) ),
inference(superposition,[status(thm)],[c_183653,c_2877]) ).
tcf(c_191121,plain,
( v1_xboole_0(sK356(np__0))
| ~ v1_relat_1(sK356(np__0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191106,c_2187]) ).
tcf(c_191131,plain,
( v2_membered(sK135(sK138))
| ~ v4_membered(sK138) ),
inference(superposition,[status(thm)],[c_183971,c_166995]) ).
tcf(c_191132,plain,
( v1_membered(sK135(sK138))
| ~ v4_membered(sK138) ),
inference(superposition,[status(thm)],[c_183971,c_166985]) ).
tcf(c_191133,plain,
( v3_membered(sK135(sK138))
| ~ v4_membered(sK138) ),
inference(superposition,[status(thm)],[c_183971,c_2213]) ).
tcf(c_191144,plain,
( v2_membered(sK135(sK143))
| ~ v4_membered(sK143) ),
inference(superposition,[status(thm)],[c_183973,c_166995]) ).
tcf(c_191145,plain,
( v1_membered(sK135(sK143))
| ~ v4_membered(sK143) ),
inference(superposition,[status(thm)],[c_183973,c_166985]) ).
tcf(c_191146,plain,
( v3_membered(sK135(sK143))
| ~ v4_membered(sK143) ),
inference(superposition,[status(thm)],[c_183973,c_2213]) ).
tcf(c_191157,plain,
( v2_membered(sK135(sK357))
| ~ v4_membered(sK357) ),
inference(superposition,[status(thm)],[c_183975,c_166995]) ).
tcf(c_191158,plain,
( v1_membered(sK135(sK357))
| ~ v4_membered(sK357) ),
inference(superposition,[status(thm)],[c_183975,c_166985]) ).
tcf(c_191159,plain,
( v3_membered(sK135(sK357))
| ~ v4_membered(sK357) ),
inference(superposition,[status(thm)],[c_183975,c_2213]) ).
tcf(c_191387,plain,
( ~ v4_membered(k1_numbers)
| ~ v2_xreal_0(sK364(k1_numbers))
| ~ v3_xreal_0(sK364(k1_numbers)) ),
inference(superposition,[status(thm)],[c_184168,c_3329]) ).
tcf(c_191388,plain,
( v2_xreal_0(sK364(k1_numbers))
| v3_xreal_0(sK364(k1_numbers))
| v1_xboole_0(sK364(k1_numbers))
| ~ v4_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_184168,c_3326]) ).
tcf(c_191389,plain,
( v1_xcmplx_0(sK364(k1_numbers))
| ~ v4_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_184168,c_1732]) ).
tcf(c_191404,plain,
( v1_int_1(np__0)
| ~ v4_ordinal2(np__0) ),
inference(superposition,[status(thm)],[c_166177,c_184245]) ).
tcf(c_191407,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_190342,c_78840,c_190342]) ).
tcf(c_191414,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_191407,c_100]) ).
tcf(c_191415,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_191407,c_1723]) ).
tcf(c_191416,plain,
! [X0: $i] :
( v1_xreal_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_191407,c_1722]) ).
tcf(c_191417,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_191407,c_1721]) ).
tcf(c_191418,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_191407,c_425]) ).
tcf(c_191419,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_191407,c_423]) ).
tcf(c_191420,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_191407,c_78786]) ).
tcf(c_191432,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191419,c_121]) ).
tcf(c_191446,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_53,c_528]) ).
tcf(c_191447,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_501,c_528]) ).
tcf(c_191448,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(X0,k2_xboole_0(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_504,c_528]) ).
tcf(c_191449,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(k2_xboole_0(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_503,c_528]) ).
tcf(c_191450,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(k2_xboole_0(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_526,c_528]) ).
tcf(c_191451,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(X0,X1),X0) = k4_xboole_0(X1,X0),
inference(superposition,[status(thm)],[c_546,c_528]) ).
tcf(c_191452,plain,
! [X0: $i] : k4_xboole_0(X0,X0) = k4_xboole_0(np__0,X0),
inference(superposition,[status(thm)],[c_169170,c_528]) ).
tcf(c_191453,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(X0,X1)) = k2_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_528,c_50200]) ).
tcf(c_191454,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(X0,X1),k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_528,c_168780]) ).
tcf(c_191455,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),k5_xboole_0(k2_xboole_0(X0,X1),X1)),
inference(superposition,[status(thm)],[c_528,c_3126]) ).
tcf(c_191456,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_2133]) ).
tcf(c_191457,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_2132]) ).
tcf(c_191458,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_2131]) ).
tcf(c_191459,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_2130]) ).
tcf(c_191460,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_2129]) ).
tcf(c_191461,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_2128]) ).
tcf(c_191462,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_2127]) ).
tcf(c_191463,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_2126]) ).
tcf(c_191464,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_2125]) ).
tcf(c_191465,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v1_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_1739]) ).
tcf(c_191466,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v2_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_1738]) ).
tcf(c_191467,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v2_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_1737]) ).
tcf(c_191468,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_1736]) ).
tcf(c_191469,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_1735]) ).
tcf(c_191470,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_1734]) ).
tcf(c_191471,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_1124]) ).
tcf(c_191472,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(X0,X1))
| ~ v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_807]) ).
tcf(c_191473,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_528,c_704]) ).
tcf(c_191474,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_528,c_1147]) ).
tcf(c_191476,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1)) = k4_xboole_0(k2_xboole_0(k2_xboole_0(X0,X1),X2),X1),
inference(superposition,[status(thm)],[c_528,c_526]) ).
tcf(c_191477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_xboole_0(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(k2_xboole_0(X0,X1),k4_xboole_0(X2,X3))) = k4_xboole_0(k2_zfmisc_1(k2_xboole_0(X0,X1),X2),k2_zfmisc_1(X1,X3)),
inference(superposition,[status(thm)],[c_528,c_501]) ).
tcf(c_191478,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_xboole_0(X1,X2))
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_528,c_1158]) ).
tcf(c_191479,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X1,X2))
| ~ r1_xboole_0(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_528,c_706]) ).
tcf(c_191481,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X1,X2))
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_528,c_693]) ).
tcf(c_191482,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| ~ r1_tarski(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_528,c_1143]) ).
tcf(c_191484,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(X0,k2_xboole_0(X1,X0)),k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_528,c_704]) ).
tcf(c_191485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_xboole_0(k2_zfmisc_1(k4_xboole_0(X0,X1),k2_xboole_0(X2,X3)),k2_zfmisc_1(X0,k4_xboole_0(X2,X3))) = k4_xboole_0(k2_zfmisc_1(X0,k2_xboole_0(X2,X3)),k2_zfmisc_1(X1,X3)),
inference(superposition,[status(thm)],[c_528,c_501]) ).
tcf(c_191488,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1)) = k4_xboole_0(k2_xboole_0(X0,k2_xboole_0(X2,X1)),X1),
inference(superposition,[status(thm)],[c_528,c_526]) ).
tcf(c_191489,plain,
! [X0: $i] : k2_xboole_0(X0,np__0) = k4_xboole_0(X0,np__0),
inference(superposition,[status(thm)],[c_528,c_1153]) ).
tcf(c_191492,plain,
! [X0: $i,X1: $i] : r1_xboole_0(np__0,k4_xboole_0(X0,X1)),
inference(light_normalisation,[status(thm)],[c_191484,c_169159]) ).
tcf(c_191527,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),k5_xboole_0(X1,k2_xboole_0(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_191455,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191536,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k2_xboole_0(X1,k4_xboole_0(X0,X1))) = k2_xboole_0(X0,X1),
inference(theory_normalisation,[status(thm)],[c_191453,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191537,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_xboole_0(X0,k2_xboole_0(X1,X2)),X2) = k4_xboole_0(k2_xboole_0(X1,X0),X2),
inference(light_normalisation,[status(thm)],[c_191488,c_169169]) ).
tcf(c_191538,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1)) = k4_xboole_0(k2_xboole_0(X0,k2_xboole_0(X1,X2)),X1),
inference(theory_normalisation,[status(thm)],[c_191476,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191539,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_xboole_0(X0,k2_xboole_0(X1,X2)),X1) = k4_xboole_0(k2_xboole_0(X2,X0),X1),
inference(light_normalisation,[status(thm)],[c_191538,c_169169]) ).
tcf(c_191540,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(X0,k2_xboole_0(X1,X2)),k2_zfmisc_1(X0,X2)) = k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),
inference(light_normalisation,[status(thm)],[c_191448,c_1127]) ).
tcf(c_191541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_xboole_0(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),k2_zfmisc_1(k4_xboole_0(X0,X3),k2_xboole_0(X1,X2))) = k4_xboole_0(k2_zfmisc_1(X0,k2_xboole_0(X1,X2)),k2_zfmisc_1(X3,X2)),
inference(theory_normalisation,[status(thm)],[c_191485,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191574,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_xboole_0(X0,X1),X0) = k2_xboole_0(k2_xboole_0(X0,X1),np__0),
inference(superposition,[status(thm)],[c_522,c_529]) ).
tcf(c_191575,plain,
! [X0: $i] : k2_xboole_0(X0,X0) = k2_xboole_0(X0,np__0),
inference(superposition,[status(thm)],[c_47750,c_529]) ).
tcf(c_191576,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k2_xboole_0(X1,X0)) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_528,c_529]) ).
tcf(c_191577,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(X1,X0)) = k4_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_529,c_528]) ).
tcf(c_191578,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(k4_xboole_0(X1,X0))),k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_529,c_507]) ).
tcf(c_191579,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_xboole_0(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_529,c_498]) ).
tcf(c_191580,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_xboole_0(X1,X0))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_529,c_494]) ).
tcf(c_191581,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(k4_xboole_0(X1,X0))),k5_finsub_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_529,c_492]) ).
tcf(c_191583,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_zfmisc_1(X0,k4_xboole_0(X1,X0)),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))),
inference(superposition,[status(thm)],[c_529,c_505]) ).
tcf(c_191584,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(X0,X1),k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_529,c_169259]) ).
tcf(c_191587,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X1,X0))
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_529,c_553]) ).
tcf(c_191590,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X1,X0) = np__0 )
| ( k2_tarski(X2,X2) = k4_xboole_0(X1,X0) )
| ( k2_xboole_0(X0,X1) != k2_tarski(X2,X2) ) ),
inference(superposition,[status(thm)],[c_529,c_519]) ).
tcf(c_191591,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(X2,X2) = X0 )
| ( k2_tarski(X2,X2) = k4_xboole_0(X1,X0) )
| ( k2_xboole_0(X0,X1) != k2_tarski(X2,X2) ) ),
inference(superposition,[status(thm)],[c_529,c_518]) ).
tcf(c_191593,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(X1,X0) = np__0 )
| ( k4_xboole_0(X1,X0) = X0 )
| ( k2_xboole_0(X0,X1) != k2_tarski(X2,X2) ) ),
inference(superposition,[status(thm)],[c_529,c_511]) ).
tcf(c_191594,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X2,X1))
| ~ r1_xboole_0(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_529,c_718]) ).
tcf(c_191598,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_xboole_0(X2,X1))
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_529,c_551]) ).
tcf(c_191599,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X2,X1))
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_529,c_537]) ).
tcf(c_191600,plain,
! [X0: $i,X1: $i] : r2_hidden(k4_xboole_0(X0,X1),k1_zfmisc_1(k2_xboole_0(X1,X0))),
inference(superposition,[status(thm)],[c_529,c_183409]) ).
tcf(c_191601,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),k2_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_529,c_169158]) ).
tcf(c_191603,plain,
! [X0: $i] : k2_xboole_0(np__0,X0) = k4_xboole_0(X0,np__0),
inference(superposition,[status(thm)],[c_529,c_169170]) ).
tcf(c_191629,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k2_xboole_0(X1,X0)) = k2_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_191576,c_529]) ).
tcf(c_191630,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k2_xboole_0(X1,X0)) = k2_xboole_0(X0,k2_xboole_0(X1,np__0)),
inference(theory_normalisation,[status(thm)],[c_191574,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191653,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(X0,X1) = X1 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168873,c_535]) ).
tcf(c_191654,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)) = k1_zfmisc_1(X1) )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_535]) ).
tcf(c_191657,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)),k5_finsub_1(k2_xboole_0(X0,X1))) = k5_finsub_1(k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_492,c_535]) ).
tcf(c_191658,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_zfmisc_1(X0,X1),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))) = k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_505,c_535]) ).
tcf(c_191659,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)),k1_zfmisc_1(k2_xboole_0(X0,X1))) = k1_zfmisc_1(k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_507,c_535]) ).
tcf(c_191660,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(X0,k2_xboole_0(X2,X1)) = k2_xboole_0(X2,X1) )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_537,c_535]) ).
tcf(c_191662,plain,
! [X0: $i] : k2_xboole_0(k5_finsub_1(X0),k1_zfmisc_1(X0)) = k1_zfmisc_1(X0),
inference(superposition,[status(thm)],[c_769,c_535]) ).
tcf(c_191663,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)) = k5_finsub_1(X1) )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_770,c_535]) ).
tcf(c_191666,plain,
! [X0: $i] : k2_xboole_0(k2_tarski(X0,X0),k1_zfmisc_1(X0)) = k1_zfmisc_1(X0),
inference(superposition,[status(thm)],[c_1102,c_535]) ).
tcf(c_191668,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(k4_xboole_0(X0,X2),X1) = X1 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1143,c_535]) ).
tcf(c_191670,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(X0,k3_tarski(X1)) = k3_tarski(X1) )
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1193,c_535]) ).
tcf(c_191671,plain,
! [X0: $i] : k2_xboole_0(X0,k1_zfmisc_1(k3_tarski(X0))) = k1_zfmisc_1(k3_tarski(X0)),
inference(superposition,[status(thm)],[c_1184,c_535]) ).
tcf(c_191672,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k3_tarski(X0),k3_tarski(X1)) = k3_tarski(X1) )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1190,c_535]) ).
tcf(c_191673,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k1_card_1(X0),k1_card_1(X1)) = k1_card_1(X1) )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2062,c_535]) ).
tcf(c_191674,plain,
k2_xboole_0(k5_numbers,k1_numbers) = k1_numbers,
inference(superposition,[status(thm)],[c_1302,c_535]) ).
tcf(c_191675,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k9_relat_1(X0,X1),k2_relat_1(X0)) = k2_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1875,c_535]) ).
tcf(c_191676,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k7_relat_1(X0,X1),X0) = X0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1929,c_535]) ).
tcf(c_191677,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k1_relat_1(k7_relat_1(X0,X1)),X1) = X1 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_535]) ).
tcf(c_191678,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k10_relat_1(X0,X1),k1_relat_1(X0)) = k1_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1974,c_535]) ).
tcf(c_191679,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X1)) = k2_tarski(X0,X1),
inference(superposition,[status(thm)],[c_2037,c_535]) ).
tcf(c_191680,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X0)) = k2_tarski(X1,X0),
inference(superposition,[status(thm)],[c_2020,c_535]) ).
tcf(c_191681,plain,
! [X0: $i] :
( ( k2_xboole_0(X0,k4_numbers) = k4_numbers )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2112,c_535]) ).
tcf(c_191682,plain,
! [X0: $i] :
( ( k2_xboole_0(X0,k3_numbers) = k3_numbers )
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_2216,c_535]) ).
tcf(c_191683,plain,
! [X0: $i] :
( ( k2_xboole_0(X0,k1_numbers) = k1_numbers )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2246,c_535]) ).
tcf(c_191684,plain,
! [X0: $i] :
( r2_hidden(sK375(X0),X0)
| ( k2_xboole_0(X0,sK376(X0)) = sK376(X0) ) ),
inference(superposition,[status(thm)],[c_2256,c_535]) ).
tcf(c_191685,plain,
! [X0: $i] :
( ( k2_xboole_0(X0,sK376(X0)) = sK376(X0) )
| ~ v3_ordinal1(sK375(X0)) ),
inference(superposition,[status(thm)],[c_2254,c_535]) ).
tcf(c_191686,plain,
! [X0: $i] :
( ( k2_xboole_0(X0,k5_numbers) = k5_numbers )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2334,c_535]) ).
tcf(c_191687,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_tarski(X0,X1),k2_enumset1(X0,X0,X1,X2)) = k2_enumset1(X0,X0,X1,X2),
inference(superposition,[status(thm)],[c_2339,c_535]) ).
tcf(c_191688,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_tarski(X0,X0),k2_enumset1(X0,X0,X1,X2)) = k2_enumset1(X0,X0,X1,X2),
inference(superposition,[status(thm)],[c_2340,c_535]) ).
tcf(c_191689,plain,
! [X0: $i] : k2_xboole_0(k6_partfun1(X0),k2_zfmisc_1(X0,X0)) = k2_zfmisc_1(X0,X0),
inference(superposition,[status(thm)],[c_2813,c_535]) ).
tcf(c_191690,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k5_relat_1(X0,k6_partfun1(X1)),X0) = X0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2843,c_535]) ).
tcf(c_191691,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k5_relat_1(k6_partfun1(X1),X0),X0) = X0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2844,c_535]) ).
tcf(c_191692,plain,
! [X0: $i] :
( ( k2_xboole_0(k1_relat_1(X0),k3_relat_1(X0)) = k3_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2876,c_535]) ).
tcf(c_191693,plain,
! [X0: $i] :
( ( k2_xboole_0(k2_relat_1(X0),k3_relat_1(X0)) = k3_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2877,c_535]) ).
tcf(c_191694,plain,
! [X0: $i] :
( ( k2_xboole_0(X0,k2_numbers) = k2_numbers )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3060,c_535]) ).
tcf(c_191695,plain,
k2_xboole_0(k5_numbers,k2_numbers) = k2_numbers,
inference(superposition,[status(thm)],[c_3068,c_535]) ).
tcf(c_191696,plain,
k2_xboole_0(k4_numbers,k2_numbers) = k2_numbers,
inference(superposition,[status(thm)],[c_3069,c_535]) ).
tcf(c_191697,plain,
k2_xboole_0(k3_numbers,k2_numbers) = k2_numbers,
inference(superposition,[status(thm)],[c_3070,c_535]) ).
tcf(c_191698,plain,
k2_xboole_0(k1_numbers,k2_numbers) = k2_numbers,
inference(superposition,[status(thm)],[c_3071,c_535]) ).
tcf(c_191699,plain,
k2_xboole_0(k5_numbers,k4_numbers) = k4_numbers,
inference(superposition,[status(thm)],[c_3091,c_535]) ).
tcf(c_191700,plain,
k2_xboole_0(k4_numbers,k1_numbers) = k1_numbers,
inference(superposition,[status(thm)],[c_3092,c_535]) ).
tcf(c_191701,plain,
k2_xboole_0(k4_numbers,k3_numbers) = k3_numbers,
inference(superposition,[status(thm)],[c_3093,c_535]) ).
tcf(c_191702,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k4_xboole_0(X0,X1),k5_xboole_0(X0,X1)) = k5_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_3126,c_535]) ).
tcf(c_191703,plain,
k2_xboole_0(k5_numbers,k3_numbers) = k3_numbers,
inference(superposition,[status(thm)],[c_3145,c_535]) ).
tcf(c_191704,plain,
k2_xboole_0(k3_numbers,k1_numbers) = k1_numbers,
inference(superposition,[status(thm)],[c_3146,c_535]) ).
tcf(c_191705,plain,
! [X0: $i] :
( ( k2_xboole_0(k4_classes1(k1_card_1(X0)),X0) = X0 )
| ~ v2_classes1(X0) ),
inference(superposition,[status(thm)],[c_3158,c_535]) ).
tcf(c_191706,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k1_setfam_1(X1),X0) = X0 )
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_3411,c_535]) ).
tcf(c_191707,plain,
! [X0: $i] : k2_xboole_0(k1_setfam_1(X0),k3_tarski(X0)) = k3_tarski(X0),
inference(superposition,[status(thm)],[c_3412,c_535]) ).
tcf(c_191708,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k1_funct_2(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,X1))) = k1_zfmisc_1(k2_zfmisc_1(X0,X1)),
inference(superposition,[status(thm)],[c_3467,c_535]) ).
tcf(c_191709,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k8_relat_1(X1,X0),X0) = X0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3893,c_535]) ).
tcf(c_191710,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k2_relat_1(k8_relat_1(X1,X0)),X1) = X1 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_535]) ).
tcf(c_191711,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k6_partfun1(X0),k6_partfun1(X1)) = k6_partfun1(X1) )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_3977,c_535]) ).
tcf(c_191712,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_xboole_0(sK54(X0),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_168498,c_535]) ).
tcf(c_191713,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_xboole_0(sK141(X0),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_168499,c_535]) ).
tcf(c_191714,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_xboole_0(sK142(X0),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_168500,c_535]) ).
tcf(c_191715,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k2_xboole_0(X0,X2)) = k2_xboole_0(X0,X2),
inference(superposition,[status(thm)],[c_49625,c_535]) ).
tcf(c_191716,plain,
! [X0: $i] : k2_xboole_0(k1_zfmisc_1(np__0),k2_tarski(X0,np__0)) = k2_tarski(X0,np__0),
inference(superposition,[status(thm)],[c_166778,c_535]) ).
tcf(c_191717,plain,
! [X0: $i] : k2_xboole_0(k1_zfmisc_1(np__0),k2_tarski(np__0,X0)) = k2_tarski(np__0,X0),
inference(superposition,[status(thm)],[c_166781,c_535]) ).
tcf(c_191718,plain,
! [X0: $i] : k2_xboole_0(k2_finseq_1(np__1),k2_tarski(np__1,X0)) = k2_tarski(np__1,X0),
inference(superposition,[status(thm)],[c_168386,c_535]) ).
tcf(c_191719,plain,
! [X0: $i] : k2_xboole_0(k2_finseq_1(np__1),k2_tarski(X0,np__1)) = k2_tarski(X0,np__1),
inference(superposition,[status(thm)],[c_168387,c_535]) ).
tcf(c_191720,plain,
k2_xboole_0(k2_finseq_1(np__1),k1_zfmisc_1(np__1)) = k1_zfmisc_1(np__1),
inference(superposition,[status(thm)],[c_168397,c_535]) ).
tcf(c_191721,plain,
! [X0: $i] : k2_xboole_0(sK43(k1_zfmisc_1(X0)),X0) = X0,
inference(superposition,[status(thm)],[c_168495,c_535]) ).
tcf(c_191722,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k2_xboole_0(X1,X0)) = k2_xboole_0(X1,X0),
inference(superposition,[status(thm)],[c_169158,c_535]) ).
tcf(c_191723,plain,
! [X0: $i] : k2_xboole_0(sK87(k1_zfmisc_1(X0)),X0) = X0,
inference(superposition,[status(thm)],[c_178146,c_535]) ).
tcf(c_191724,plain,
! [X0: $i] : k2_xboole_0(X0,k3_relat_1(k6_partfun1(X0))) = k3_relat_1(k6_partfun1(X0)),
inference(superposition,[status(thm)],[c_171630,c_535]) ).
tcf(c_191725,plain,
! [X0: $i] : k2_xboole_0(k1_funct_2(X0,np__0),k1_zfmisc_1(np__0)) = k1_zfmisc_1(np__0),
inference(superposition,[status(thm)],[c_173434,c_535]) ).
tcf(c_191728,plain,
! [X0: $i] : k2_xboole_0(k1_zfmisc_1(np__0),k5_finsub_1(X0)) = k5_finsub_1(X0),
inference(superposition,[status(thm)],[c_177394,c_535]) ).
tcf(c_191729,plain,
k2_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(sK138)) = k1_zfmisc_1(sK138),
inference(superposition,[status(thm)],[c_179027,c_535]) ).
tcf(c_191730,plain,
k2_xboole_0(sK135(sK138),sK138) = sK138,
inference(superposition,[status(thm)],[c_179059,c_535]) ).
tcf(c_191731,plain,
k2_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(sK143)) = k1_zfmisc_1(sK143),
inference(superposition,[status(thm)],[c_179154,c_535]) ).
tcf(c_191732,plain,
k2_xboole_0(sK135(sK143),sK143) = sK143,
inference(superposition,[status(thm)],[c_179186,c_535]) ).
tcf(c_191733,plain,
k2_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(sK357)) = k1_zfmisc_1(sK357),
inference(superposition,[status(thm)],[c_179269,c_535]) ).
tcf(c_191734,plain,
k2_xboole_0(sK135(sK357),sK357) = sK357,
inference(superposition,[status(thm)],[c_179301,c_535]) ).
tcf(c_191735,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k9_relat_1(k6_partfun1(X0),X1),X0) = X0,
inference(superposition,[status(thm)],[c_182635,c_535]) ).
tcf(c_191736,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k10_relat_1(k6_partfun1(X0),X1),X0) = X0,
inference(superposition,[status(thm)],[c_183221,c_535]) ).
tcf(c_191737,plain,
k2_xboole_0(k1_numbers,k3_numbers) = k1_numbers,
inference(theory_normalisation,[status(thm)],[c_191704,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191738,plain,
k2_xboole_0(k1_numbers,k4_numbers) = k1_numbers,
inference(theory_normalisation,[status(thm)],[c_191700,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191739,plain,
k2_xboole_0(sK357,sK135(sK357)) = sK357,
inference(theory_normalisation,[status(thm)],[c_191734,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191740,plain,
k2_xboole_0(sK143,sK135(sK143)) = sK143,
inference(theory_normalisation,[status(thm)],[c_191732,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191741,plain,
k2_xboole_0(sK138,sK135(sK138)) = sK138,
inference(theory_normalisation,[status(thm)],[c_191730,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191742,plain,
! [X0: $i] : k2_xboole_0(X0,sK87(k1_zfmisc_1(X0))) = X0,
inference(theory_normalisation,[status(thm)],[c_191723,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191743,plain,
! [X0: $i] : k2_xboole_0(X0,sK43(k1_zfmisc_1(X0))) = X0,
inference(theory_normalisation,[status(thm)],[c_191721,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191745,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k10_relat_1(k6_partfun1(X0),X1)) = X0,
inference(theory_normalisation,[status(thm)],[c_191736,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191746,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k9_relat_1(k6_partfun1(X0),X1)) = X0,
inference(theory_normalisation,[status(thm)],[c_191735,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191749,plain,
k2_xboole_0(k1_zfmisc_1(np__1),k2_finseq_1(np__1)) = k1_zfmisc_1(np__1),
inference(theory_normalisation,[status(thm)],[c_191720,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191750,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_xboole_0(X0,sK142(X0)) = X0 ) ),
inference(theory_normalisation,[status(thm)],[c_191714,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191753,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_xboole_0(X0,sK141(X0)) = X0 ) ),
inference(theory_normalisation,[status(thm)],[c_191713,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191756,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_xboole_0(X0,sK54(X0)) = X0 ) ),
inference(theory_normalisation,[status(thm)],[c_191712,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191759,plain,
! [X0: $i] : k2_xboole_0(k3_tarski(X0),k1_setfam_1(X0)) = k3_tarski(X0),
inference(theory_normalisation,[status(thm)],[c_191707,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191770,plain,
! [X0: $i] : k2_xboole_0(k1_zfmisc_1(X0),k5_finsub_1(X0)) = k1_zfmisc_1(X0),
inference(theory_normalisation,[status(thm)],[c_191662,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191773,plain,
! [X0: $i] : k2_xboole_0(k1_zfmisc_1(np__0),k1_funct_2(X0,np__0)) = k1_zfmisc_1(np__0),
inference(theory_normalisation,[status(thm)],[c_191725,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191774,plain,
! [X0: $i] : k2_xboole_0(k1_zfmisc_1(X0),k2_tarski(X0,X0)) = k1_zfmisc_1(X0),
inference(theory_normalisation,[status(thm)],[c_191666,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191775,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(X0,k8_relat_1(X1,X0)) = X0 )
| ~ v1_relat_1(X0) ),
inference(theory_normalisation,[status(thm)],[c_191709,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191780,plain,
! [X0: $i] :
( ( k2_xboole_0(X0,k4_classes1(k1_card_1(X0))) = X0 )
| ~ v2_classes1(X0) ),
inference(theory_normalisation,[status(thm)],[c_191705,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191783,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(X0,k7_relat_1(X0,X1)) = X0 )
| ~ v1_relat_1(X0) ),
inference(theory_normalisation,[status(thm)],[c_191676,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191786,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(X1,k2_relat_1(k8_relat_1(X1,X0))) = X1 )
| ~ v1_relat_1(X0) ),
inference(theory_normalisation,[status(thm)],[c_191710,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191793,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(X0,k5_relat_1(k6_partfun1(X1),X0)) = X0 )
| ~ v1_relat_1(X0) ),
inference(theory_normalisation,[status(thm)],[c_191691,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191796,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(X0,k5_relat_1(X0,k6_partfun1(X1))) = X0 )
| ~ v1_relat_1(X0) ),
inference(theory_normalisation,[status(thm)],[c_191690,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191803,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(X1,k1_relat_1(k7_relat_1(X0,X1))) = X1 )
| ~ v1_relat_1(X0) ),
inference(theory_normalisation,[status(thm)],[c_191677,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191816,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(X0,k2_xboole_0(X1,k1_setfam_1(k2_tarski(X0,X2)))) = k2_xboole_0(X0,X1),
inference(theory_normalisation,[status(thm)],[c_191715,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191819,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k1_relat_1(X0),k10_relat_1(X0,X1)) = k1_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(theory_normalisation,[status(thm)],[c_191678,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191822,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k2_relat_1(X0),k9_relat_1(X0,X1)) = k2_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(theory_normalisation,[status(thm)],[c_191675,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191827,plain,
! [X0: $i,X1: $i] :
( ( k3_tarski(k2_xboole_0(X0,X1)) = k3_tarski(X1) )
| ~ r1_tarski(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_191672,c_1189]) ).
tcf(c_191836,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k1_zfmisc_1(X0),k2_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(k2_xboole_0(X0,X1)))) = k1_zfmisc_1(k2_xboole_0(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_191659,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191837,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k5_finsub_1(X0),k2_xboole_0(k5_finsub_1(X1),k5_finsub_1(k2_xboole_0(X0,X1)))) = k5_finsub_1(k2_xboole_0(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_191657,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_xboole_0(k2_enumset1(X0,X0,X1,X2),k2_enumset1(X0,X1,X2,X3)) = k2_enumset1(X0,X1,X2,X3),
inference(superposition,[status(thm)],[c_53,c_541]) ).
tcf(c_191885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_xboole_0(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_501,c_541]) ).
tcf(c_191886,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,k2_xboole_0(X1,X2))) = k2_zfmisc_1(X0,k2_xboole_0(X1,X2)),
inference(superposition,[status(thm)],[c_504,c_541]) ).
tcf(c_191887,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k2_xboole_0(X0,X2),X1)) = k2_zfmisc_1(k2_xboole_0(X0,X2),X1),
inference(superposition,[status(thm)],[c_503,c_541]) ).
tcf(c_191889,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(k2_xboole_0(X0,X2),X1)) = k4_xboole_0(k2_xboole_0(X0,X2),X1),
inference(superposition,[status(thm)],[c_526,c_541]) ).
tcf(c_191894,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X0,X1)) = k4_xboole_0(X0,k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_541,c_528]) ).
tcf(c_191895,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(k2_xboole_0(X0,X1))),k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_541,c_507]) ).
tcf(c_191898,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(k2_xboole_0(X0,X1))),k5_finsub_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_541,c_492]) ).
tcf(c_191900,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_zfmisc_1(X0,k2_xboole_0(X0,X1)),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))),
inference(superposition,[status(thm)],[c_541,c_505]) ).
tcf(c_191901,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(X0,X1),k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_541,c_169259]) ).
tcf(c_191910,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k2_xboole_0(X0,X1) = np__0 )
| ( k2_xboole_0(X0,X1) = X0 )
| ( k2_xboole_0(X0,X1) != k2_tarski(X2,X2) ) ),
inference(superposition,[status(thm)],[c_541,c_511]) ).
tcf(c_191917,plain,
! [X0: $i,X1: $i] : r2_hidden(k2_xboole_0(X0,X1),k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_541,c_183409]) ).
tcf(c_191918,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(X0,X1),k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_541,c_169158]) ).
tcf(c_191928,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X0,X1)) = np__0,
inference(light_normalisation,[status(thm)],[c_191894,c_522]) ).
tcf(c_191946,plain,
( v1_int_1(np__1)
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_170234,c_184251]) ).
tcf(c_191965,plain,
v1_relat_1(sK87(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_629,c_184685]) ).
tcf(c_191967,plain,
! [X0: $i,X1: $i] : k4_relat_1(k4_relat_1(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) = sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(superposition,[status(thm)],[c_184685,c_3920]) ).
tcf(c_191968,plain,
! [X0: $i,X1: $i] : k8_relat_1(np__0,sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = np__0,
inference(superposition,[status(thm)],[c_184685,c_3874]) ).
tcf(c_191969,plain,
! [X0: $i,X1: $i] : k10_relat_1(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_184685,c_1970]) ).
tcf(c_191970,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_184685,c_1911]) ).
tcf(c_191971,plain,
! [X0: $i,X1: $i] : k9_relat_1(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_184685,c_1870]) ).
tcf(c_191972,plain,
! [X0: $i,X1: $i] : k5_relat_1(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_184685,c_968]) ).
tcf(c_191973,plain,
! [X0: $i,X1: $i] : k5_relat_1(np__0,sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = np__0,
inference(superposition,[status(thm)],[c_184685,c_967]) ).
tcf(c_191974,plain,
! [X0: $i,X1: $i] :
( sP8(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_funct_1(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_184685,c_931]) ).
tcf(c_191990,plain,
( v1_membered(sK135(sK138))
| ~ v3_membered(sK138) ),
inference(superposition,[status(thm)],[c_184828,c_166401]) ).
tcf(c_191991,plain,
( v2_membered(sK135(sK138))
| ~ v3_membered(sK138) ),
inference(superposition,[status(thm)],[c_184828,c_2227]) ).
tcf(c_192000,plain,
( v1_membered(sK135(sK143))
| ~ v3_membered(sK143) ),
inference(superposition,[status(thm)],[c_184830,c_166401]) ).
tcf(c_192001,plain,
( v2_membered(sK135(sK143))
| ~ v3_membered(sK143) ),
inference(superposition,[status(thm)],[c_184830,c_2227]) ).
tcf(c_192010,plain,
( v1_membered(sK135(sK357))
| ~ v3_membered(sK357) ),
inference(superposition,[status(thm)],[c_184832,c_166401]) ).
tcf(c_192011,plain,
( v2_membered(sK135(sK357))
| ~ v3_membered(sK357) ),
inference(superposition,[status(thm)],[c_184832,c_2227]) ).
tcf(c_192020,plain,
( v1_membered(sK135(sK138))
| ~ v2_membered(sK138) ),
inference(superposition,[status(thm)],[c_185108,c_1773]) ).
tcf(c_192027,plain,
( v1_membered(sK135(sK143))
| ~ v2_membered(sK143) ),
inference(superposition,[status(thm)],[c_185110,c_1773]) ).
tcf(c_192030,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_190531,c_78840,c_190531]) ).
tcf(c_192037,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_192030,c_100]) ).
tcf(c_192038,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_192030,c_1723]) ).
tcf(c_192039,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_192030,c_1722]) ).
tcf(c_192040,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_192030,c_1721]) ).
tcf(c_192041,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_192030,c_425]) ).
tcf(c_192042,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_192030,c_423]) ).
tcf(c_192043,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_192030,c_78786]) ).
tcf(c_192055,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192042,c_121]) ).
tcf(c_192079,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(sK120(X0),X1),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(sK120(X0)) ),
inference(superposition,[status(thm)],[c_648,c_1974]) ).
tcf(c_192081,plain,
! [X0: $i] :
( r1_tarski(X0,k3_relat_1(sK120(X0)))
| ( X0 = np__0 )
| ~ v1_relat_1(sK120(X0)) ),
inference(superposition,[status(thm)],[c_648,c_2876]) ).
tcf(c_192084,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK120(X0)) ),
inference(superposition,[status(thm)],[c_648,c_165310]) ).
tcf(c_192085,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK120(X0)) ),
inference(superposition,[status(thm)],[c_648,c_164058]) ).
tcf(c_192086,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK120(X0)) ),
inference(superposition,[status(thm)],[c_648,c_164056]) ).
tcf(c_192087,plain,
! [X0: $i] :
( v1_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK120(X0)) ),
inference(superposition,[status(thm)],[c_648,c_164055]) ).
tcf(c_192088,plain,
! [X0: $i] :
( v2_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK120(X0)) ),
inference(superposition,[status(thm)],[c_648,c_164054]) ).
tcf(c_192089,plain,
! [X0: $i] :
( v3_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK120(X0)) ),
inference(superposition,[status(thm)],[c_648,c_164053]) ).
tcf(c_192090,plain,
! [X0: $i] :
( v4_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK120(X0)) ),
inference(superposition,[status(thm)],[c_648,c_164052]) ).
tcf(c_192091,plain,
! [X0: $i] :
( v5_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK120(X0)) ),
inference(superposition,[status(thm)],[c_648,c_164051]) ).
tcf(c_192092,plain,
! [X0: $i] :
( v1_realset1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK120(X0)) ),
inference(superposition,[status(thm)],[c_648,c_164050]) ).
tcf(c_192093,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK120(X0)) ),
inference(superposition,[status(thm)],[c_648,c_164049]) ).
tcf(c_192094,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK120(X0)) ),
inference(superposition,[status(thm)],[c_648,c_873]) ).
tcf(c_192095,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK120(X0)) ),
inference(superposition,[status(thm)],[c_648,c_872]) ).
tcf(c_192148,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(sK121(X0),X1),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(sK121(X0)) ),
inference(superposition,[status(thm)],[c_649,c_1974]) ).
tcf(c_192150,plain,
! [X0: $i] :
( r1_tarski(X0,k3_relat_1(sK121(X0)))
| ( X0 = np__0 )
| ~ v1_relat_1(sK121(X0)) ),
inference(superposition,[status(thm)],[c_649,c_2876]) ).
tcf(c_192153,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK121(X0)) ),
inference(superposition,[status(thm)],[c_649,c_165310]) ).
tcf(c_192154,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK121(X0)) ),
inference(superposition,[status(thm)],[c_649,c_164058]) ).
tcf(c_192155,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK121(X0)) ),
inference(superposition,[status(thm)],[c_649,c_164056]) ).
tcf(c_192156,plain,
! [X0: $i] :
( v1_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK121(X0)) ),
inference(superposition,[status(thm)],[c_649,c_164055]) ).
tcf(c_192157,plain,
! [X0: $i] :
( v2_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK121(X0)) ),
inference(superposition,[status(thm)],[c_649,c_164054]) ).
tcf(c_192158,plain,
! [X0: $i] :
( v3_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK121(X0)) ),
inference(superposition,[status(thm)],[c_649,c_164053]) ).
tcf(c_192159,plain,
! [X0: $i] :
( v4_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK121(X0)) ),
inference(superposition,[status(thm)],[c_649,c_164052]) ).
tcf(c_192160,plain,
! [X0: $i] :
( v5_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK121(X0)) ),
inference(superposition,[status(thm)],[c_649,c_164051]) ).
tcf(c_192161,plain,
! [X0: $i] :
( v1_realset1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK121(X0)) ),
inference(superposition,[status(thm)],[c_649,c_164050]) ).
tcf(c_192162,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK121(X0)) ),
inference(superposition,[status(thm)],[c_649,c_164049]) ).
tcf(c_192163,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK121(X0)) ),
inference(superposition,[status(thm)],[c_649,c_873]) ).
tcf(c_192164,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK121(X0)) ),
inference(superposition,[status(thm)],[c_649,c_872]) ).
tcf(c_192269,plain,
( v1_membered(sK135(sK357))
| ~ v2_membered(sK357) ),
inference(superposition,[status(thm)],[c_185112,c_1773]) ).
tcf(c_192292,plain,
( v3_membered(sK135(sK138))
| ~ v5_membered(sK138) ),
inference(superposition,[status(thm)],[c_186531,c_166873]) ).
tcf(c_192293,plain,
( v2_membered(sK135(sK138))
| ~ v5_membered(sK138) ),
inference(superposition,[status(thm)],[c_186531,c_166862]) ).
tcf(c_192294,plain,
( v1_membered(sK135(sK138))
| ~ v5_membered(sK138) ),
inference(superposition,[status(thm)],[c_186531,c_166852]) ).
tcf(c_192295,plain,
( v4_membered(sK135(sK138))
| ~ v5_membered(sK138) ),
inference(superposition,[status(thm)],[c_186531,c_2214]) ).
tcf(c_192308,plain,
( v3_membered(sK135(sK143))
| ~ v5_membered(sK143) ),
inference(superposition,[status(thm)],[c_186533,c_166873]) ).
tcf(c_192309,plain,
( v2_membered(sK135(sK143))
| ~ v5_membered(sK143) ),
inference(superposition,[status(thm)],[c_186533,c_166862]) ).
tcf(c_192310,plain,
( v1_membered(sK135(sK143))
| ~ v5_membered(sK143) ),
inference(superposition,[status(thm)],[c_186533,c_166852]) ).
tcf(c_192311,plain,
( v4_membered(sK135(sK143))
| ~ v5_membered(sK143) ),
inference(superposition,[status(thm)],[c_186533,c_2214]) ).
tcf(c_192324,plain,
( v3_membered(sK135(sK357))
| ~ v5_membered(sK357) ),
inference(superposition,[status(thm)],[c_186535,c_166873]) ).
tcf(c_192325,plain,
( v2_membered(sK135(sK357))
| ~ v5_membered(sK357) ),
inference(superposition,[status(thm)],[c_186535,c_166862]) ).
tcf(c_192326,plain,
( v1_membered(sK135(sK357))
| ~ v5_membered(sK357) ),
inference(superposition,[status(thm)],[c_186535,c_166852]) ).
tcf(c_192327,plain,
( v4_membered(sK135(sK357))
| ~ v5_membered(sK357) ),
inference(superposition,[status(thm)],[c_186535,c_2214]) ).
tcf(c_192340,plain,
! [X0: $i] :
( ( k2_relat_1(sK356(sK387(X0))) = sK387(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_186851,c_2072]) ).
tcf(c_192341,plain,
! [X0: $i] :
( ( k1_zfmisc_1(sK387(X0)) = k5_finsub_1(sK387(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_186851,c_768]) ).
tcf(c_192358,plain,
( ~ v5_membered(k4_numbers)
| ~ v2_xreal_0(sK254(k4_numbers))
| ~ v3_xreal_0(sK254(k4_numbers)) ),
inference(superposition,[status(thm)],[c_187007,c_3329]) ).
tcf(c_192359,plain,
( v2_xreal_0(sK254(k4_numbers))
| v3_xreal_0(sK254(k4_numbers))
| v1_xboole_0(sK254(k4_numbers))
| ~ v5_membered(k4_numbers) ),
inference(superposition,[status(thm)],[c_187007,c_3326]) ).
tcf(c_192368,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_190731,c_78840,c_190731]) ).
tcf(c_192375,plain,
! [X0: $i] :
( r1_tarski(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_192368,c_100]) ).
tcf(c_192376,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_192368,c_1723]) ).
tcf(c_192377,plain,
! [X0: $i] :
( v1_xreal_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_192368,c_1722]) ).
tcf(c_192378,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_192368,c_1721]) ).
tcf(c_192379,plain,
! [X0: $i] :
( v1_xboole_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_192368,c_425]) ).
tcf(c_192380,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_192368,c_423]) ).
tcf(c_192381,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_192368,c_78786]) ).
tcf(c_192393,plain,
! [X0: $i] :
( r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192380,c_121]) ).
tcf(c_192409,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_tarski(k2_tarski(X0,X2),X1)
| ~ r2_hidden(X0,k3_subset_1(X1,k2_tarski(X0,X2))) ),
inference(superposition,[status(thm)],[c_7357,c_688]) ).
tcf(c_192412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r2_hidden(X0,k4_xboole_0(X3,X2))
| ~ r1_tarski(k2_tarski(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_700,c_688]) ).
tcf(c_192413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r1_xboole_0(k2_tarski(X0,X3),X1)
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_706,c_688]) ).
tcf(c_192416,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(X0,k4_xboole_0(X1,k2_tarski(X0,X2))),
inference(superposition,[status(thm)],[c_165386,c_688]) ).
tcf(c_192418,plain,
! [X0: $i] :
( ~ r2_hidden(np__0,X0)
| ~ r1_xboole_0(k1_zfmisc_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_1112,c_688]) ).
tcf(c_192419,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X1,X2)
| ~ r1_xboole_0(k2_tarski(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2041,c_688]) ).
tcf(c_192420,plain,
! [X0: $i] :
( ~ r2_hidden(np__1,X0)
| ~ r1_xboole_0(k2_finseq_1(np__1),X0) ),
inference(superposition,[status(thm)],[c_57872,c_688]) ).
tcf(c_192439,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,k2_xboole_0(X0,X1))
| ( X0 != np__0 ) ),
inference(superposition,[status(thm)],[c_522,c_702]) ).
tcf(c_192441,plain,
! [X0: $i] :
( r1_xboole_0(X0,X0)
| ( X0 != np__0 ) ),
inference(superposition,[status(thm)],[c_47750,c_702]) ).
tcf(c_192442,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_xboole_0(X0,X1),X1)
| ( k2_xboole_0(X0,X1) != k4_xboole_0(X0,X1) ) ),
inference(superposition,[status(thm)],[c_528,c_702]) ).
tcf(c_192455,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k3_subset_1(X1,X0)) = X0 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_7357,c_703]) ).
tcf(c_192456,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_169608,c_703]) ).
tcf(c_192457,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(sK129(X0),X0) = sK129(X0) ) ),
inference(superposition,[status(thm)],[c_671,c_703]) ).
tcf(c_192459,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X2,X1)) = X0 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_700,c_703]) ).
tcf(c_192460,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X1,X2)) = X0 )
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_706,c_703]) ).
tcf(c_192461,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)) = k4_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_704,c_703]) ).
tcf(c_192462,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k4_xboole_0(X0,X1),X1) = k4_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_707,c_703]) ).
tcf(c_192463,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X1,X0) = X1 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_169637,c_703]) ).
tcf(c_192466,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X0,X1))),X1) = k4_xboole_0(X0,k1_setfam_1(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_49626,c_703]) ).
tcf(c_192467,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k5_xboole_0(X0,X1)) = k1_setfam_1(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_49627,c_703]) ).
tcf(c_192468,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k4_xboole_0(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_165386,c_703]) ).
tcf(c_192493,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X0,X1)
| ~ r1_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_122,c_719]) ).
tcf(c_192495,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_xboole_0(X0,X0) ),
inference(superposition,[status(thm)],[c_396,c_719]) ).
tcf(c_192496,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)))
| ~ r1_xboole_0(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)),k5_finsub_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_492,c_719]) ).
tcf(c_192497,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r1_xboole_0(k2_zfmisc_1(X0,X1),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))) ),
inference(superposition,[status(thm)],[c_505,c_719]) ).
tcf(c_192498,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))
| ~ r1_xboole_0(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)),k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_507,c_719]) ).
tcf(c_192499,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(X0,X2)
| ~ r1_xboole_0(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_537,c_719]) ).
tcf(c_192500,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ r1_xboole_0(X0,k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_540,c_719]) ).
tcf(c_192501,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| ~ r1_xboole_0(k5_finsub_1(X0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_769,c_719]) ).
tcf(c_192502,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| ~ r1_tarski(X0,X1)
| ~ r1_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_770,c_719]) ).
tcf(c_192505,plain,
! [X0: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ~ r1_xboole_0(k2_tarski(X0,X0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1102,c_719]) ).
tcf(c_192506,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ~ r2_hidden(X0,X1)
| ~ r1_xboole_0(k2_tarski(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_1108,c_719]) ).
tcf(c_192507,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,X2)
| ~ r1_xboole_0(k4_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1143,c_719]) ).
tcf(c_192508,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ r1_xboole_0(k4_xboole_0(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_1147,c_719]) ).
tcf(c_192509,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,X1)
| ~ r1_xboole_0(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1193,c_719]) ).
tcf(c_192510,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_xboole_0(X0,k1_zfmisc_1(k3_tarski(X0))) ),
inference(superposition,[status(thm)],[c_1184,c_719]) ).
tcf(c_192511,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k3_tarski(X0))
| ~ r1_tarski(X0,X1)
| ~ r1_xboole_0(k3_tarski(X0),k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1190,c_719]) ).
tcf(c_192512,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_card_1(X0))
| ~ r1_tarski(X0,X1)
| ~ r1_xboole_0(k1_card_1(X0),k1_card_1(X1)) ),
inference(superposition,[status(thm)],[c_2062,c_719]) ).
tcf(c_192513,plain,
( v1_xboole_0(k5_numbers)
| ~ r1_xboole_0(k5_numbers,k1_numbers) ),
inference(superposition,[status(thm)],[c_1302,c_719]) ).
tcf(c_192514,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k9_relat_1(X0,X1),k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1875,c_719]) ).
tcf(c_192515,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k7_relat_1(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_1929,c_719]) ).
tcf(c_192516,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k1_relat_1(k7_relat_1(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_1930,c_719]) ).
tcf(c_192517,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k10_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k10_relat_1(X0,X1),k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1974,c_719]) ).
tcf(c_192518,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ~ r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2037,c_719]) ).
tcf(c_192519,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ~ r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X0)) ),
inference(superposition,[status(thm)],[c_2020,c_719]) ).
tcf(c_192520,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v4_membered(X0)
| ~ r1_xboole_0(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_2112,c_719]) ).
tcf(c_192521,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v3_membered(X0)
| ~ r1_xboole_0(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_2216,c_719]) ).
tcf(c_192522,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v2_membered(X0)
| ~ r1_xboole_0(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_2246,c_719]) ).
tcf(c_192523,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK375(X0),X0)
| ~ r1_xboole_0(X0,sK376(X0)) ),
inference(superposition,[status(thm)],[c_2256,c_719]) ).
tcf(c_192524,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v3_ordinal1(sK375(X0))
| ~ r1_xboole_0(X0,sK376(X0)) ),
inference(superposition,[status(thm)],[c_2254,c_719]) ).
tcf(c_192525,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v5_membered(X0)
| ~ r1_xboole_0(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_2334,c_719]) ).
tcf(c_192526,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k2_tarski(X0,X1))
| ~ r1_xboole_0(k2_tarski(X0,X1),k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2339,c_719]) ).
tcf(c_192527,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ~ r1_xboole_0(k2_tarski(X0,X0),k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2340,c_719]) ).
tcf(c_192528,plain,
! [X0: $i] :
( v1_xboole_0(k6_partfun1(X0))
| ~ r1_xboole_0(k6_partfun1(X0),k2_zfmisc_1(X0,X0)) ),
inference(superposition,[status(thm)],[c_2813,c_719]) ).
tcf(c_192529,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k5_relat_1(X0,k6_partfun1(X1)))
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k5_relat_1(X0,k6_partfun1(X1)),X0) ),
inference(superposition,[status(thm)],[c_2843,c_719]) ).
tcf(c_192530,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k5_relat_1(k6_partfun1(X0),X1))
| ~ v1_relat_1(X1)
| ~ r1_xboole_0(k5_relat_1(k6_partfun1(X0),X1),X1) ),
inference(superposition,[status(thm)],[c_2844,c_719]) ).
tcf(c_192531,plain,
! [X0: $i] :
( v1_xboole_0(k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k1_relat_1(X0),k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2876,c_719]) ).
tcf(c_192532,plain,
! [X0: $i] :
( v1_xboole_0(k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k2_relat_1(X0),k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2877,c_719]) ).
tcf(c_192533,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_membered(X0)
| ~ r1_xboole_0(X0,k2_numbers) ),
inference(superposition,[status(thm)],[c_3060,c_719]) ).
tcf(c_192534,plain,
( v1_xboole_0(k5_numbers)
| ~ r1_xboole_0(k5_numbers,k2_numbers) ),
inference(superposition,[status(thm)],[c_3068,c_719]) ).
tcf(c_192535,plain,
( v1_xboole_0(k4_numbers)
| ~ r1_xboole_0(k4_numbers,k2_numbers) ),
inference(superposition,[status(thm)],[c_3069,c_719]) ).
tcf(c_192536,plain,
( v1_xboole_0(k3_numbers)
| ~ r1_xboole_0(k3_numbers,k2_numbers) ),
inference(superposition,[status(thm)],[c_3070,c_719]) ).
tcf(c_192537,plain,
( v1_xboole_0(k1_numbers)
| ~ r1_xboole_0(k1_numbers,k2_numbers) ),
inference(superposition,[status(thm)],[c_3071,c_719]) ).
tcf(c_192538,plain,
( v1_xboole_0(k5_numbers)
| ~ r1_xboole_0(k5_numbers,k4_numbers) ),
inference(superposition,[status(thm)],[c_3091,c_719]) ).
tcf(c_192539,plain,
( v1_xboole_0(k4_numbers)
| ~ r1_xboole_0(k4_numbers,k1_numbers) ),
inference(superposition,[status(thm)],[c_3092,c_719]) ).
tcf(c_192540,plain,
( v1_xboole_0(k4_numbers)
| ~ r1_xboole_0(k4_numbers,k3_numbers) ),
inference(superposition,[status(thm)],[c_3093,c_719]) ).
tcf(c_192541,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ r1_xboole_0(k4_xboole_0(X0,X1),k5_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_3126,c_719]) ).
tcf(c_192542,plain,
( v1_xboole_0(k5_numbers)
| ~ r1_xboole_0(k5_numbers,k3_numbers) ),
inference(superposition,[status(thm)],[c_3145,c_719]) ).
tcf(c_192543,plain,
( v1_xboole_0(k3_numbers)
| ~ r1_xboole_0(k3_numbers,k1_numbers) ),
inference(superposition,[status(thm)],[c_3146,c_719]) ).
tcf(c_192544,plain,
! [X0: $i] :
( v1_xboole_0(k4_classes1(k1_card_1(X0)))
| ~ v2_classes1(X0)
| ~ r1_xboole_0(k4_classes1(k1_card_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_3158,c_719]) ).
tcf(c_192545,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_setfam_1(X0))
| ~ r2_hidden(X1,X0)
| ~ r1_xboole_0(k1_setfam_1(X0),X1) ),
inference(superposition,[status(thm)],[c_3411,c_719]) ).
tcf(c_192546,plain,
! [X0: $i] :
( v1_xboole_0(k1_setfam_1(X0))
| ~ r1_xboole_0(k1_setfam_1(X0),k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_3412,c_719]) ).
tcf(c_192547,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_funct_2(X0,X1))
| ~ r1_xboole_0(k1_funct_2(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_3467,c_719]) ).
tcf(c_192548,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k8_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ r1_xboole_0(k8_relat_1(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_3893,c_719]) ).
tcf(c_192549,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_relat_1(k8_relat_1(X0,X1)))
| ~ v1_relat_1(X1)
| ~ r1_xboole_0(k2_relat_1(k8_relat_1(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_3894,c_719]) ).
tcf(c_192550,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k6_partfun1(X0))
| ~ r1_tarski(X0,X1)
| ~ r1_xboole_0(k6_partfun1(X0),k6_partfun1(X1)) ),
inference(superposition,[status(thm)],[c_3977,c_719]) ).
tcf(c_192551,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK54(X0))
| ~ r1_xboole_0(sK54(X0),X0) ),
inference(superposition,[status(thm)],[c_168498,c_719]) ).
tcf(c_192552,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK141(X0))
| ~ r1_xboole_0(sK141(X0),X0) ),
inference(superposition,[status(thm)],[c_168499,c_719]) ).
tcf(c_192553,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK142(X0))
| ~ r1_xboole_0(sK142(X0),X0) ),
inference(superposition,[status(thm)],[c_168500,c_719]) ).
tcf(c_192554,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)))
| ~ r1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k2_xboole_0(X0,X2)) ),
inference(superposition,[status(thm)],[c_49625,c_719]) ).
tcf(c_192555,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(np__0))
| ~ r1_xboole_0(k1_zfmisc_1(np__0),k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_166778,c_719]) ).
tcf(c_192556,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(np__0))
| ~ r1_xboole_0(k1_zfmisc_1(np__0),k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_166781,c_719]) ).
tcf(c_192557,plain,
! [X0: $i] :
( v1_xboole_0(k2_finseq_1(np__1))
| ~ r1_xboole_0(k2_finseq_1(np__1),k2_tarski(np__1,X0)) ),
inference(superposition,[status(thm)],[c_168386,c_719]) ).
tcf(c_192558,plain,
! [X0: $i] :
( v1_xboole_0(k2_finseq_1(np__1))
| ~ r1_xboole_0(k2_finseq_1(np__1),k2_tarski(X0,np__1)) ),
inference(superposition,[status(thm)],[c_168387,c_719]) ).
tcf(c_192559,plain,
( v1_xboole_0(k2_finseq_1(np__1))
| ~ r1_xboole_0(k2_finseq_1(np__1),k1_zfmisc_1(np__1)) ),
inference(superposition,[status(thm)],[c_168397,c_719]) ).
tcf(c_192560,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(X0)))
| ~ r1_xboole_0(sK43(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_168495,c_719]) ).
tcf(c_192561,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ r1_xboole_0(X0,k2_xboole_0(X1,X0)) ),
inference(superposition,[status(thm)],[c_169158,c_719]) ).
tcf(c_192562,plain,
! [X0: $i] :
( v1_xboole_0(sK87(k1_zfmisc_1(X0)))
| ~ r1_xboole_0(sK87(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_178146,c_719]) ).
tcf(c_192563,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_xboole_0(X0,k3_relat_1(k6_partfun1(X0))) ),
inference(superposition,[status(thm)],[c_171630,c_719]) ).
tcf(c_192564,plain,
! [X0: $i] :
( v1_xboole_0(k1_funct_2(X0,np__0))
| ~ r1_xboole_0(k1_funct_2(X0,np__0),k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173434,c_719]) ).
tcf(c_192565,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)))
| ~ r1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_174032,c_719]) ).
tcf(c_192566,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)))
| ~ r1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_174100,c_719]) ).
tcf(c_192567,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(np__0))
| ~ r1_xboole_0(k1_zfmisc_1(np__0),k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_177394,c_719]) ).
tcf(c_192568,plain,
( v1_xboole_0(k1_zfmisc_1(np__0))
| ~ r1_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(sK138)) ),
inference(superposition,[status(thm)],[c_179027,c_719]) ).
tcf(c_192569,plain,
( v1_xboole_0(sK135(sK138))
| ~ r1_xboole_0(sK135(sK138),sK138) ),
inference(superposition,[status(thm)],[c_179059,c_719]) ).
tcf(c_192570,plain,
( v1_xboole_0(k1_zfmisc_1(np__0))
| ~ r1_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(sK143)) ),
inference(superposition,[status(thm)],[c_179154,c_719]) ).
tcf(c_192571,plain,
( v1_xboole_0(sK135(sK143))
| ~ r1_xboole_0(sK135(sK143),sK143) ),
inference(superposition,[status(thm)],[c_179186,c_719]) ).
tcf(c_192572,plain,
( v1_xboole_0(k1_zfmisc_1(np__0))
| ~ r1_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(sK357)) ),
inference(superposition,[status(thm)],[c_179269,c_719]) ).
tcf(c_192573,plain,
( v1_xboole_0(sK135(sK357))
| ~ r1_xboole_0(sK135(sK357),sK357) ),
inference(superposition,[status(thm)],[c_179301,c_719]) ).
tcf(c_192574,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k9_relat_1(k6_partfun1(X0),X1))
| ~ r1_xboole_0(k9_relat_1(k6_partfun1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_182635,c_719]) ).
tcf(c_192575,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k10_relat_1(k6_partfun1(X0),X1))
| ~ r1_xboole_0(k10_relat_1(k6_partfun1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_183221,c_719]) ).
tcf(c_192576,plain,
~ r1_xboole_0(k3_numbers,k1_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_192543,c_3147]) ).
tcf(c_192579,plain,
~ r1_xboole_0(k4_numbers,k3_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_192540,c_3094]) ).
tcf(c_192580,plain,
~ r1_xboole_0(k4_numbers,k1_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_192539,c_3094]) ).
tcf(c_192583,plain,
~ r1_xboole_0(k1_numbers,k2_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_192537,c_2048]) ).
tcf(c_192584,plain,
~ r1_xboole_0(k3_numbers,k2_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_192536,c_3147]) ).
tcf(c_192585,plain,
~ r1_xboole_0(k4_numbers,k2_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_192535,c_3094]) ).
tcf(c_192606,plain,
~ r1_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(sK357)),
inference(forward_subsumption_resolution,[status(thm)],[c_192572,c_121]) ).
tcf(c_192607,plain,
~ r1_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(sK143)),
inference(forward_subsumption_resolution,[status(thm)],[c_192570,c_121]) ).
tcf(c_192608,plain,
~ r1_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(sK138)),
inference(forward_subsumption_resolution,[status(thm)],[c_192568,c_121]) ).
tcf(c_192609,plain,
! [X0: $i] : ~ r1_xboole_0(k1_zfmisc_1(np__0),k5_finsub_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_192567,c_121]) ).
tcf(c_192610,plain,
~ r1_xboole_0(k2_finseq_1(np__1),k1_zfmisc_1(np__1)),
inference(forward_subsumption_resolution,[status(thm)],[c_192559,c_168373]) ).
tcf(c_192628,plain,
! [X0: $i] : ~ r1_xboole_0(k5_finsub_1(X0),k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_192501,c_182678]) ).
tcf(c_192633,plain,
! [X0: $i] : ~ r1_xboole_0(k2_finseq_1(np__1),k2_tarski(X0,np__1)),
inference(forward_subsumption_resolution,[status(thm)],[c_192558,c_168373]) ).
tcf(c_192634,plain,
! [X0: $i] : ~ r1_xboole_0(k2_finseq_1(np__1),k2_tarski(np__1,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_192557,c_168373]) ).
tcf(c_192635,plain,
! [X0: $i] : ~ r1_xboole_0(k1_zfmisc_1(np__0),k2_tarski(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_192556,c_121]) ).
tcf(c_192636,plain,
! [X0: $i] : ~ r1_xboole_0(k1_zfmisc_1(np__0),k2_tarski(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_192555,c_121]) ).
tcf(c_192661,plain,
! [X0: $i] : ~ r1_xboole_0(k2_tarski(X0,X0),k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_192505,c_1991]) ).
tcf(c_192681,plain,
! [X0: $i,X1: $i] : ~ r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_192519,c_1991]) ).
tcf(c_192682,plain,
! [X0: $i,X1: $i] : ~ r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_192518,c_1991]) ).
tcf(c_192712,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X0,X1)
| ~ r1_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192502,c_182678]) ).
tcf(c_192715,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X0,X1)
| ~ r1_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192493,c_121]) ).
tcf(c_192720,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r1_xboole_0(k2_tarski(X0,X0),k2_enumset1(X0,X0,X1,X2)),
inference(forward_subsumption_resolution,[status(thm)],[c_192527,c_1991]) ).
tcf(c_192721,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r1_xboole_0(k2_tarski(X0,X1),k2_enumset1(X0,X0,X1,X2)),
inference(forward_subsumption_resolution,[status(thm)],[c_192526,c_1991]) ).
tcf(c_192731,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X0,X1)
| ~ r1_xboole_0(k2_tarski(X0,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192506,c_1991]) ).
tcf(c_192897,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_191420,c_78840,c_191420]) ).
tcf(c_192904,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_192897,c_100]) ).
tcf(c_192905,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_192897,c_1723]) ).
tcf(c_192906,plain,
! [X0: $i] :
( v1_xreal_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_192897,c_1722]) ).
tcf(c_192907,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_192897,c_1721]) ).
tcf(c_192908,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_192897,c_425]) ).
tcf(c_192909,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_192897,c_423]) ).
tcf(c_192910,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_192897,c_78786]) ).
tcf(c_192922,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192909,c_121]) ).
tcf(c_193020,plain,
! [X0: $i,X1: $i] :
( ( k1_card_1(sK137(k2_xboole_0(X0,X1))) = k1_card_1(k2_xboole_0(X0,X1)) )
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_494,c_775]) ).
tcf(c_193021,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_card_1(sK137(sK135(X0))) = k1_card_1(sK135(X0)) ) ),
inference(superposition,[status(thm)],[c_760,c_775]) ).
tcf(c_193022,plain,
! [X0: $i] :
( ( k1_card_1(sK137(k1_card_1(X0))) = k1_card_1(k1_card_1(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_777,c_775]) ).
tcf(c_193023,plain,
! [X0: $i] :
( ( k1_card_1(sK137(k1_relat_1(X0))) = k1_card_1(k1_relat_1(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164056,c_775]) ).
tcf(c_193024,plain,
! [X0: $i] :
( ( k1_card_1(sK137(k2_relat_1(X0))) = k1_card_1(k2_relat_1(X0)) )
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_779,c_775]) ).
tcf(c_193025,plain,
! [X0: $i] :
( ( k1_card_1(sK137(k2_relat_1(X0))) = k1_card_1(k2_relat_1(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164103,c_775]) ).
tcf(c_193026,plain,
k1_card_1(sK137(sK138)) = k1_card_1(sK138),
inference(superposition,[status(thm)],[c_783,c_775]) ).
tcf(c_193027,plain,
! [X0: $i] :
( ( k1_card_1(sK137(k1_zfmisc_1(X0))) = k1_card_1(k1_zfmisc_1(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_795,c_775]) ).
tcf(c_193028,plain,
! [X0: $i,X1: $i] :
( ( k1_card_1(sK137(k4_xboole_0(X0,X1))) = k1_card_1(k4_xboole_0(X0,X1)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_807,c_775]) ).
tcf(c_193029,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_card_1(sK137(sK141(X0))) = k1_card_1(sK141(X0)) ) ),
inference(superposition,[status(thm)],[c_805,c_775]) ).
tcf(c_193030,plain,
! [X0: $i,X1: $i] : k1_card_1(sK137(k2_tarski(X0,X1))) = k1_card_1(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_810,c_775]) ).
tcf(c_193031,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_card_1(sK137(sK142(X0))) = k1_card_1(sK142(X0)) ) ),
inference(superposition,[status(thm)],[c_813,c_775]) ).
tcf(c_193032,plain,
k1_card_1(sK137(sK143)) = k1_card_1(sK143),
inference(superposition,[status(thm)],[c_818,c_775]) ).
tcf(c_193033,plain,
k1_card_1(sK137(sK357)) = k1_card_1(sK357),
inference(superposition,[status(thm)],[c_2083,c_775]) ).
tcf(c_193034,plain,
! [X0: $i] : k1_card_1(sK137(sK358(X0))) = k1_card_1(sK358(X0)),
inference(superposition,[status(thm)],[c_2088,c_775]) ).
tcf(c_193035,plain,
! [X0: $i] :
( ( k1_card_1(sK137(u1_struct_0(X0))) = k1_card_1(u1_struct_0(X0)) )
| ~ v6_group_1(X0)
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_2954,c_775]) ).
tcf(c_193036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k1_card_1(sK137(k2_enumset1(X0,X1,X2,X3))) = k1_card_1(k2_enumset1(X0,X1,X2,X3)),
inference(superposition,[status(thm)],[c_3422,c_775]) ).
tcf(c_193037,plain,
k1_card_1(sK137(np__0)) = k1_card_1(np__0),
inference(superposition,[status(thm)],[c_163479,c_775]) ).
tcf(c_193038,plain,
k1_card_1(sK137(k1_zfmisc_1(np__0))) = k1_card_1(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_165600,c_775]) ).
tcf(c_193039,plain,
! [X0: $i,X1: $i] :
( ( k1_card_1(sK137(k1_setfam_1(k2_tarski(X1,X0)))) = k1_card_1(k1_setfam_1(k2_tarski(X1,X0))) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_49628,c_775]) ).
tcf(c_193040,plain,
k1_card_1(sK137(sK43(k5_numbers))) = k1_card_1(sK43(k5_numbers)),
inference(superposition,[status(thm)],[c_164765,c_775]) ).
tcf(c_193041,plain,
! [X0: $i] :
( ( k1_card_1(sK137(k4_relat_1(X0))) = k1_card_1(k4_relat_1(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164869,c_775]) ).
tcf(c_193042,plain,
! [X0: $i] : k1_card_1(sK137(sK43(k5_finsub_1(X0)))) = k1_card_1(sK43(k5_finsub_1(X0))),
inference(superposition,[status(thm)],[c_165482,c_775]) ).
tcf(c_193043,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| ( k1_card_1(sK137(sK201(k5_finsub_1(X0)))) = k1_card_1(sK201(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_165648,c_775]) ).
tcf(c_193044,plain,
( v1_relat_1(k5_numbers)
| ( k1_card_1(sK137(sK201(k5_numbers))) = k1_card_1(sK201(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_165656,c_775]) ).
tcf(c_193045,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| ( k1_card_1(sK137(sK255(k5_finsub_1(X0)))) = k1_card_1(sK255(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_165771,c_775]) ).
tcf(c_193046,plain,
( v3_ordinal1(k5_numbers)
| ( k1_card_1(sK137(sK377(k5_numbers))) = k1_card_1(sK377(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_165966,c_775]) ).
tcf(c_193047,plain,
( v1_realset1(k5_numbers)
| ( k1_card_1(sK137(sK484(k5_numbers))) = k1_card_1(sK484(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_166108,c_775]) ).
tcf(c_193048,plain,
( v1_realset1(k5_numbers)
| ( k1_card_1(sK137(sK485(k5_numbers))) = k1_card_1(sK485(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_166227,c_775]) ).
tcf(c_193049,plain,
! [X0: $i] :
( ( k1_card_1(sK137(k6_partfun1(X0))) = k1_card_1(k6_partfun1(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_183264,c_775]) ).
tcf(c_193050,plain,
k1_card_1(sK137(k2_finseq_1(np__1))) = k1_card_1(k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_168374,c_775]) ).
tcf(c_193051,plain,
! [X0: $i] :
( ( k1_card_1(sK137(sK137(X0))) = k1_card_1(sK137(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_169664,c_775]) ).
tcf(c_193052,plain,
! [X0: $i] :
( ( k1_card_1(sK137(sK257(X0))) = k1_card_1(sK257(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_170347,c_775]) ).
tcf(c_193053,plain,
! [X0: $i] :
( ( k1_card_1(sK137(sK385(X0))) = k1_card_1(sK385(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_171282,c_775]) ).
tcf(c_193054,plain,
! [X0: $i] : k1_card_1(sK137(sK87(k5_finsub_1(X0)))) = k1_card_1(sK87(k5_finsub_1(X0))),
inference(superposition,[status(thm)],[c_189447,c_775]) ).
tcf(c_193055,plain,
( v1_xboole_0(k5_numbers)
| ( k1_card_1(sK137(sK87(k5_numbers))) = k1_card_1(sK87(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_189420,c_775]) ).
tcf(c_193056,plain,
( v1_realset1(k5_numbers)
| ( k1_card_1(sK137(sK87(k5_numbers))) = k1_card_1(sK87(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_173017,c_775]) ).
tcf(c_193057,plain,
( v3_ordinal1(k5_numbers)
| ( k1_card_1(sK137(sK87(k5_numbers))) = k1_card_1(sK87(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_172826,c_775]) ).
tcf(c_193058,plain,
( v1_relat_1(k5_numbers)
| ( k1_card_1(sK137(sK87(k5_numbers))) = k1_card_1(sK87(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_171389,c_775]) ).
tcf(c_193059,plain,
( ( k1_card_1(sK137(k4_classes1(np__0))) = k1_card_1(k4_classes1(np__0)) )
| ~ v2_classes1(np__0) ),
inference(superposition,[status(thm)],[c_173408,c_775]) ).
tcf(c_193060,plain,
! [X0: $i] : k1_card_1(sK137(k1_funct_2(X0,np__0))) = k1_card_1(k1_funct_2(X0,np__0)),
inference(superposition,[status(thm)],[c_177508,c_775]) ).
tcf(c_193061,plain,
( ( k1_card_1(sK137(sK87(k1_zfmisc_1(u1_struct_0(sK42))))) = k1_card_1(sK87(k1_zfmisc_1(u1_struct_0(sK42)))) )
| ~ v1_finset_1(u1_struct_0(sK42)) ),
inference(superposition,[status(thm)],[c_177485,c_775]) ).
tcf(c_193062,plain,
! [X0: $i] :
( ( k1_card_1(sK137(sK43(X0))) = k1_card_1(sK43(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_178196,c_775]) ).
tcf(c_193063,plain,
k1_card_1(sK137(sK43(k1_zfmisc_1(sK138)))) = k1_card_1(sK43(k1_zfmisc_1(sK138))),
inference(superposition,[status(thm)],[c_179032,c_775]) ).
tcf(c_193064,plain,
k1_card_1(sK137(sK135(sK138))) = k1_card_1(sK135(sK138)),
inference(superposition,[status(thm)],[c_179067,c_775]) ).
tcf(c_193065,plain,
k1_card_1(sK137(sK43(k1_zfmisc_1(sK143)))) = k1_card_1(sK43(k1_zfmisc_1(sK143))),
inference(superposition,[status(thm)],[c_179159,c_775]) ).
tcf(c_193066,plain,
k1_card_1(sK137(sK135(sK143))) = k1_card_1(sK135(sK143)),
inference(superposition,[status(thm)],[c_179195,c_775]) ).
tcf(c_193067,plain,
k1_card_1(sK137(sK43(k1_zfmisc_1(sK357)))) = k1_card_1(sK43(k1_zfmisc_1(sK357))),
inference(superposition,[status(thm)],[c_179274,c_775]) ).
tcf(c_193068,plain,
k1_card_1(sK137(sK135(sK357))) = k1_card_1(sK135(sK357)),
inference(superposition,[status(thm)],[c_181346,c_775]) ).
tcf(c_193069,plain,
! [X0: $i] :
( ( k1_card_1(sK137(sK387(X0))) = k1_card_1(sK387(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_186851,c_775]) ).
tcf(c_193070,plain,
k1_card_1(sK137(sK486(k1_zfmisc_1(np__0)))) = k1_card_1(sK486(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_187747,c_775]) ).
tcf(c_193071,plain,
k1_card_1(sK137(sK487(k1_zfmisc_1(np__0)))) = k1_card_1(sK487(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_187904,c_775]) ).
tcf(c_193072,plain,
k1_card_1(sK137(sK87(k1_zfmisc_1(sK138)))) = k1_card_1(sK87(k1_zfmisc_1(sK138))),
inference(superposition,[status(thm)],[c_189454,c_775]) ).
tcf(c_193073,plain,
k1_card_1(sK137(sK87(k1_zfmisc_1(sK143)))) = k1_card_1(sK87(k1_zfmisc_1(sK143))),
inference(superposition,[status(thm)],[c_189455,c_775]) ).
tcf(c_193074,plain,
k1_card_1(sK137(sK87(k1_zfmisc_1(sK357)))) = k1_card_1(sK87(k1_zfmisc_1(sK357))),
inference(superposition,[status(thm)],[c_189456,c_775]) ).
tcf(c_193075,plain,
k1_card_1(sK137(np__0)) = np__0,
inference(light_normalisation,[status(thm)],[c_193037,c_2055]) ).
tcf(c_193172,plain,
! [X0: $i,X1: $i] :
( ( k1_card_1(sK137(k2_zfmisc_1(X0,X1))) = k1_card_1(k2_zfmisc_1(X0,X1)) )
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_806,c_775]) ).
tcf(c_193173,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(sK356(k2_zfmisc_1(X0,X1))) = k2_zfmisc_1(X0,X1) )
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_806,c_2072]) ).
tcf(c_193174,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(k2_zfmisc_1(X0,X1)) = k5_finsub_1(k2_zfmisc_1(X0,X1)) )
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_806,c_768]) ).
tcf(c_193191,plain,
! [X0: $i] :
( r1_tarski(k2_relat_1(np__0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_177854,c_839]) ).
tcf(c_193192,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_relat_1(sK146(X0,X1)))
| ( X0 = np__0 )
| ~ r1_xboole_0(k2_relat_1(sK146(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_839,c_719]) ).
tcf(c_193193,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_xboole_0(k2_relat_1(sK146(X0,X1)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_839,c_535]) ).
tcf(c_193194,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_relat_1(sK146(X0,X1)))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_839,c_2333]) ).
tcf(c_193195,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_relat_1(sK146(X0,X1)))
| ( X0 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_839,c_2241]) ).
tcf(c_193196,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_relat_1(sK146(X0,X1)))
| ( X0 = np__0 )
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_839,c_2215]) ).
tcf(c_193197,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_relat_1(sK146(X0,X1)))
| ( X0 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_839,c_2107]) ).
tcf(c_193198,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_relat_1(sK146(X0,X1)))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_839,c_1733]) ).
tcf(c_193199,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_relat_1(sK146(X0,X1)))
| ( X0 = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_839,c_802]) ).
tcf(c_193200,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_relat_1(sK146(X0,X1)))
| ( X0 = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_839,c_377]) ).
tcf(c_193201,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,k2_relat_1(sK146(X0,X1))) ),
inference(superposition,[status(thm)],[c_839,c_376]) ).
tcf(c_193204,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_relat_1(sK146(k4_xboole_0(X0,X1),X2)),X1)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_839,c_694]) ).
tcf(c_193205,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_relat_1(sK146(k4_xboole_0(X0,X1),X2)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_839,c_693]) ).
tcf(c_193206,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(sK146(k4_numbers,X0)))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_839,c_168451]) ).
tcf(c_193207,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(sK146(k4_numbers,X0)))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_839,c_168450]) ).
tcf(c_193208,plain,
! [X0: $i] :
( v3_membered(k2_relat_1(sK146(k4_numbers,X0)))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_839,c_168449]) ).
tcf(c_193209,plain,
! [X0: $i] :
( v4_membered(k2_relat_1(sK146(k4_numbers,X0)))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_839,c_168448]) ).
tcf(c_193210,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(sK146(k3_numbers,X0)))
| ( np__0 = k3_numbers ) ),
inference(superposition,[status(thm)],[c_839,c_168454]) ).
tcf(c_193211,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(sK146(k3_numbers,X0)))
| ( np__0 = k3_numbers ) ),
inference(superposition,[status(thm)],[c_839,c_168453]) ).
tcf(c_193212,plain,
! [X0: $i] :
( v3_membered(k2_relat_1(sK146(k3_numbers,X0)))
| ( np__0 = k3_numbers ) ),
inference(superposition,[status(thm)],[c_839,c_168452]) ).
tcf(c_193213,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(sK146(k1_numbers,X0)))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_839,c_168442]) ).
tcf(c_193214,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(sK146(k1_numbers,X0)))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_839,c_168441]) ).
tcf(c_193215,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(sK146(k5_numbers,X0)))
| ( np__0 = k5_numbers ) ),
inference(superposition,[status(thm)],[c_839,c_168447]) ).
tcf(c_193216,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(sK146(k5_numbers,X0)))
| ( np__0 = k5_numbers ) ),
inference(superposition,[status(thm)],[c_839,c_168446]) ).
tcf(c_193217,plain,
! [X0: $i] :
( v3_membered(k2_relat_1(sK146(k5_numbers,X0)))
| ( np__0 = k5_numbers ) ),
inference(superposition,[status(thm)],[c_839,c_168445]) ).
tcf(c_193218,plain,
! [X0: $i] :
( v4_membered(k2_relat_1(sK146(k5_numbers,X0)))
| ( np__0 = k5_numbers ) ),
inference(superposition,[status(thm)],[c_839,c_168444]) ).
tcf(c_193219,plain,
! [X0: $i] :
( v5_membered(k2_relat_1(sK146(k5_numbers,X0)))
| ( np__0 = k5_numbers ) ),
inference(superposition,[status(thm)],[c_839,c_168443]) ).
tcf(c_193220,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(sK146(k2_numbers,X0)))
| ( np__0 = k2_numbers ) ),
inference(superposition,[status(thm)],[c_839,c_168455]) ).
tcf(c_193221,plain,
! [X0: $i] :
( r1_tarski(np__0,X0)
| ( X0 = np__0 ) ),
inference(light_normalisation,[status(thm)],[c_193191,c_995]) ).
tcf(c_193275,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_xboole_0(X0,k2_relat_1(sK146(X0,X1))) = X0 ) ),
inference(theory_normalisation,[status(thm)],[c_193193,c_543,c_546,c_3131,c_3133]) ).
tcf(c_193373,plain,
! [X0: $i] :
( r1_tarski(sK120(X0),k2_zfmisc_1(X0,k2_relat_1(sK120(X0))))
| ( X0 = np__0 )
| ~ v1_relat_1(sK120(X0)) ),
inference(superposition,[status(thm)],[c_648,c_869]) ).
tcf(c_193374,plain,
! [X0: $i] :
( r1_tarski(sK121(X0),k2_zfmisc_1(X0,k2_relat_1(sK121(X0))))
| ( X0 = np__0 )
| ~ v1_relat_1(sK121(X0)) ),
inference(superposition,[status(thm)],[c_649,c_869]) ).
tcf(c_193375,plain,
( r1_tarski(np__0,k2_zfmisc_1(np__0,k2_relat_1(np__0)))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_865,c_869]) ).
tcf(c_193376,plain,
! [X0: $i] :
( r1_tarski(k6_partfun1(X0),k2_zfmisc_1(X0,k2_relat_1(k6_partfun1(X0))))
| ~ v1_relat_1(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2853,c_869]) ).
tcf(c_193377,plain,
( r1_tarski(np__0,k2_zfmisc_1(k1_relat_1(np__0),np__0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_995,c_869]) ).
tcf(c_193378,plain,
! [X0: $i] :
( r1_tarski(k6_partfun1(X0),k2_zfmisc_1(k1_relat_1(k6_partfun1(X0)),X0))
| ~ v1_relat_1(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2854,c_869]) ).
tcf(c_193379,plain,
( r1_tarski(sK356(np__0),k2_zfmisc_1(k1_relat_1(sK356(np__0)),np__0))
| ~ v1_relat_1(sK356(np__0)) ),
inference(superposition,[status(thm)],[c_183653,c_869]) ).
tcf(c_193380,plain,
( r1_tarski(sK356(sK138),k2_zfmisc_1(k1_relat_1(sK356(sK138)),sK138))
| ~ v1_relat_1(sK356(sK138)) ),
inference(superposition,[status(thm)],[c_183643,c_869]) ).
tcf(c_193381,plain,
( r1_tarski(sK356(sK143),k2_zfmisc_1(k1_relat_1(sK356(sK143)),sK143))
| ~ v1_relat_1(sK356(sK143)) ),
inference(superposition,[status(thm)],[c_183649,c_869]) ).
tcf(c_193382,plain,
( r1_tarski(sK356(sK357),k2_zfmisc_1(k1_relat_1(sK356(sK357)),sK357))
| ~ v1_relat_1(sK356(sK357)) ),
inference(superposition,[status(thm)],[c_183650,c_869]) ).
tcf(c_193383,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0))) ),
inference(superposition,[status(thm)],[c_869,c_719]) ).
tcf(c_193384,plain,
! [X0: $i] :
( ( k2_xboole_0(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0))) = k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0)) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_869,c_535]) ).
tcf(c_193385,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v1_relat_1(X0)
| ~ v5_membered(k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0))) ),
inference(superposition,[status(thm)],[c_869,c_2333]) ).
tcf(c_193386,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v1_relat_1(X0)
| ~ v2_membered(k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0))) ),
inference(superposition,[status(thm)],[c_869,c_2241]) ).
tcf(c_193387,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v1_relat_1(X0)
| ~ v3_membered(k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0))) ),
inference(superposition,[status(thm)],[c_869,c_2215]) ).
tcf(c_193388,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v1_relat_1(X0)
| ~ v4_membered(k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0))) ),
inference(superposition,[status(thm)],[c_869,c_2107]) ).
tcf(c_193389,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_relat_1(X0)
| ~ v1_membered(k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0))) ),
inference(superposition,[status(thm)],[c_869,c_1733]) ).
tcf(c_193390,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finset_1(k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0))) ),
inference(superposition,[status(thm)],[c_869,c_802]) ).
tcf(c_193392,plain,
! [X0: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_869,c_376]) ).
tcf(c_193393,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_zfmisc_1(k1_relat_1(k2_xboole_0(X0,X1)),k2_relat_1(k2_xboole_0(X0,X1))))
| ~ v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_869,c_536]) ).
tcf(c_193394,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k2_zfmisc_1(k1_relat_1(k2_tarski(X0,X1)),k2_relat_1(k2_tarski(X0,X1))))
| ~ v1_relat_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_869,c_2025]) ).
tcf(c_193395,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k2_zfmisc_1(k1_relat_1(k2_tarski(X0,X1)),k2_relat_1(k2_tarski(X0,X1))))
| ~ v1_relat_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_869,c_2024]) ).
tcf(c_193396,plain,
! [X0: $i] :
( ~ v1_relat_1(k1_zfmisc_1(X0))
| ~ r2_wellord2(X0,k2_zfmisc_1(k1_relat_1(k1_zfmisc_1(X0)),k2_relat_1(k1_zfmisc_1(X0)))) ),
inference(superposition,[status(thm)],[c_869,c_2406]) ).
tcf(c_193397,plain,
( r1_tarski(np__0,k2_zfmisc_1(np__0,np__0))
| ~ v1_relat_1(np__0) ),
inference(light_normalisation,[status(thm)],[c_193377,c_865]) ).
tcf(c_193427,plain,
! [X0: $i] :
( r1_tarski(k6_partfun1(X0),k2_zfmisc_1(X0,X0))
| ~ v1_relat_1(k6_partfun1(X0)) ),
inference(light_normalisation,[status(thm)],[c_193378,c_2853]) ).
tcf(c_193457,plain,
( v1_xreal_0(sK486(k4_numbers))
| ~ v1_realset1(k4_numbers) ),
inference(superposition,[status(thm)],[c_187711,c_1725]) ).
tcf(c_193458,plain,
( v1_xcmplx_0(sK486(k4_numbers))
| ~ v1_realset1(k4_numbers) ),
inference(superposition,[status(thm)],[c_187711,c_1724]) ).
tcf(c_193467,plain,
( ( k1_card_1(sK137(sK87(k1_zfmisc_1(u1_struct_0(sK42))))) = k1_card_1(sK87(k1_zfmisc_1(u1_struct_0(sK42)))) )
| ~ v6_group_1(sK42)
| ~ l1_struct_0(sK42) ),
inference(superposition,[status(thm)],[c_2954,c_193061]) ).
tcf(c_193468,plain,
( ( k1_card_1(sK137(sK87(k1_zfmisc_1(u1_struct_0(sK42))))) = k1_card_1(sK87(k1_zfmisc_1(u1_struct_0(sK42)))) )
| ~ v6_group_1(sK42) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193467,c_163390]) ).
tcf(c_193479,plain,
( v1_xreal_0(sK487(k4_numbers))
| ~ v1_realset1(k4_numbers) ),
inference(superposition,[status(thm)],[c_187868,c_1725]) ).
tcf(c_193480,plain,
( v1_xcmplx_0(sK487(k4_numbers))
| ~ v1_realset1(k4_numbers) ),
inference(superposition,[status(thm)],[c_187868,c_1724]) ).
tcf(c_193489,plain,
( v1_xreal_0(sK495(k4_numbers))
| ~ v1_classes2(k4_numbers) ),
inference(superposition,[status(thm)],[c_188082,c_1725]) ).
tcf(c_193490,plain,
( v1_xcmplx_0(sK495(k4_numbers))
| ~ v1_classes2(k4_numbers) ),
inference(superposition,[status(thm)],[c_188082,c_1724]) ).
tcf(c_193517,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_192043,c_78840,c_192043]) ).
tcf(c_193524,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_193517,c_100]) ).
tcf(c_193525,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_193517,c_1723]) ).
tcf(c_193526,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_193517,c_1722]) ).
tcf(c_193527,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_193517,c_1721]) ).
tcf(c_193528,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_193517,c_425]) ).
tcf(c_193529,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_193517,c_423]) ).
tcf(c_193530,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_193517,c_78786]) ).
tcf(c_193542,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193529,c_121]) ).
tcf(c_193581,plain,
! [X0: $i,X1: $i] :
( ( k4_relat_1(k4_relat_1(k5_relat_1(X0,X1))) = k5_relat_1(X0,X1) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_959,c_3920]) ).
tcf(c_193582,plain,
! [X0: $i,X1: $i] :
( ( k8_relat_1(np__0,k5_relat_1(X0,X1)) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_959,c_3874]) ).
tcf(c_193583,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k5_relat_1(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_959,c_1970]) ).
tcf(c_193584,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k5_relat_1(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_959,c_1911]) ).
tcf(c_193585,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k5_relat_1(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_959,c_1870]) ).
tcf(c_193586,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k5_relat_1(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_959,c_968]) ).
tcf(c_193587,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(np__0,k5_relat_1(X0,X1)) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_959,c_967]) ).
tcf(c_193588,plain,
! [X0: $i,X1: $i] :
( sP8(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(k5_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_959,c_931]) ).
tcf(c_193641,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1)
| ~ v2_xreal_0(k5_relat_1(X0,X1))
| ~ v1_xreal_0(k5_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_985,c_3327]) ).
tcf(c_193642,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1)
| ~ v3_xreal_0(k5_relat_1(X0,X1))
| ~ v1_xreal_0(k5_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_985,c_3322]) ).
tcf(c_193643,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_985,c_165079]) ).
tcf(c_193644,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(X1,X0) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_985,c_446]) ).
tcf(c_193645,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_985,c_7115]) ).
tcf(c_193646,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_985,c_3026]) ).
tcf(c_193647,plain,
! [X0: $i,X1: $i] :
( v5_membered(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_985,c_2186]) ).
tcf(c_193648,plain,
! [X0: $i,X1: $i] :
( v4_membered(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_985,c_2185]) ).
tcf(c_193649,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_985,c_2184]) ).
tcf(c_193650,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_985,c_2183]) ).
tcf(c_193651,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_985,c_2182]) ).
tcf(c_193652,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_985,c_816]) ).
tcf(c_193654,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_985,c_435]) ).
tcf(c_193655,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_relat_1(X2,X0) = X1 )
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_985,c_443]) ).
tcf(c_193732,plain,
! [X0: $i,X1: $i] :
( ( k4_relat_1(k4_relat_1(k5_relat_1(X1,X0))) = k5_relat_1(X1,X0) )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_986,c_3920]) ).
tcf(c_193733,plain,
! [X0: $i,X1: $i] :
( ( k8_relat_1(np__0,k5_relat_1(X1,X0)) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_986,c_3874]) ).
tcf(c_193734,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k5_relat_1(X1,X0),np__0) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_986,c_1970]) ).
tcf(c_193735,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k5_relat_1(X1,X0),np__0) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_986,c_1911]) ).
tcf(c_193736,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k5_relat_1(X1,X0),np__0) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_986,c_1870]) ).
tcf(c_193737,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k5_relat_1(X1,X0),np__0) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_986,c_968]) ).
tcf(c_193738,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(np__0,k5_relat_1(X1,X0)) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_986,c_967]) ).
tcf(c_193739,plain,
! [X0: $i,X1: $i] :
( sP8(k5_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1)
| ~ v1_funct_1(k5_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_986,c_931]) ).
tcf(c_193780,plain,
! [X0: $i] : ~ r2_hidden(k3_tarski(k1_zfmisc_1(X0)),np__0),
inference(superposition,[status(thm)],[c_189017,c_168801]) ).
tcf(c_193782,plain,
! [X0: $i] : r1_tarski(np__0,k3_tarski(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_189017,c_3412]) ).
tcf(c_193786,plain,
~ r2_hidden(k3_tarski(sK503(np__0)),np__0),
inference(superposition,[status(thm)],[c_189021,c_168801]) ).
tcf(c_193788,plain,
r1_tarski(np__0,k3_tarski(sK503(np__0))),
inference(superposition,[status(thm)],[c_189021,c_3412]) ).
tcf(c_193790,plain,
( r1_tarski(k2_relat_1(np__0),np__0)
| ~ v1_relat_1(sK90) ),
inference(superposition,[status(thm)],[c_189054,c_3894]) ).
tcf(c_193794,plain,
( r1_tarski(k2_relat_1(np__0),np__0)
| ~ v1_relat_1(sK119) ),
inference(superposition,[status(thm)],[c_189057,c_3894]) ).
tcf(c_193798,plain,
( r1_tarski(k2_relat_1(np__0),np__0)
| ~ v1_relat_1(sK138) ),
inference(superposition,[status(thm)],[c_189060,c_3894]) ).
tcf(c_193802,plain,
( r1_tarski(k2_relat_1(np__0),np__0)
| ~ v1_relat_1(sK336) ),
inference(superposition,[status(thm)],[c_189071,c_3894]) ).
tcf(c_193806,plain,
( r1_tarski(k2_relat_1(np__0),np__0)
| ~ v1_relat_1(sK357) ),
inference(superposition,[status(thm)],[c_189074,c_3894]) ).
tcf(c_193810,plain,
( r1_tarski(k2_relat_1(np__0),np__0)
| ~ v1_relat_1(sK359) ),
inference(superposition,[status(thm)],[c_189076,c_3894]) ).
tcf(c_193818,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_192381,c_78840,c_192381]) ).
tcf(c_193825,plain,
! [X0: $i] :
( r1_tarski(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_193818,c_100]) ).
tcf(c_193826,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_193818,c_1723]) ).
tcf(c_193827,plain,
! [X0: $i] :
( v1_xreal_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_193818,c_1722]) ).
tcf(c_193828,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_193818,c_1721]) ).
tcf(c_193829,plain,
! [X0: $i] :
( v1_xboole_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_193818,c_425]) ).
tcf(c_193830,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_193818,c_423]) ).
tcf(c_193831,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_193818,c_78786]) ).
tcf(c_193843,plain,
! [X0: $i] :
( r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193830,c_121]) ).
tcf(c_193956,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| ~ v2_xreal_0(k5_relat_1(X0,X1))
| ~ v1_xreal_0(k5_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_987,c_3327]) ).
tcf(c_193957,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| ~ v3_xreal_0(k5_relat_1(X0,X1))
| ~ v1_xreal_0(k5_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_987,c_3322]) ).
tcf(c_193958,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_987,c_165079]) ).
tcf(c_193959,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(X0,X1) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_987,c_446]) ).
tcf(c_193960,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_987,c_7115]) ).
tcf(c_193961,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_987,c_3026]) ).
tcf(c_193962,plain,
! [X0: $i,X1: $i] :
( v5_membered(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_987,c_2186]) ).
tcf(c_193963,plain,
! [X0: $i,X1: $i] :
( v4_membered(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_987,c_2185]) ).
tcf(c_193964,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_987,c_2184]) ).
tcf(c_193965,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_987,c_2183]) ).
tcf(c_193966,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_987,c_2182]) ).
tcf(c_193967,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_987,c_816]) ).
tcf(c_193969,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_987,c_435]) ).
tcf(c_193970,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_relat_1(X0,X2) = X1 )
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_987,c_443]) ).
tcf(c_194035,plain,
! [X0: $i,X1: $i] :
( ( k4_relat_1(k4_relat_1(k5_relat_1(X0,X1))) = k5_relat_1(X0,X1) )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_988,c_3920]) ).
tcf(c_194036,plain,
! [X0: $i,X1: $i] :
( ( k8_relat_1(np__0,k5_relat_1(X0,X1)) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_988,c_3874]) ).
tcf(c_194037,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k5_relat_1(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_988,c_1970]) ).
tcf(c_194038,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k5_relat_1(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_988,c_1911]) ).
tcf(c_194039,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k5_relat_1(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_988,c_1870]) ).
tcf(c_194040,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k5_relat_1(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_988,c_968]) ).
tcf(c_194041,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(np__0,k5_relat_1(X0,X1)) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_988,c_967]) ).
tcf(c_194042,plain,
! [X0: $i,X1: $i] :
( sP8(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(k5_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_988,c_931]) ).
tcf(c_194076,plain,
! [X0: $i] :
( m1_subset_1(k1_zfmisc_1(np__0),k1_zfmisc_1(X0))
| ~ r2_hidden(np__0,X0) ),
inference(superposition,[status(thm)],[c_1112,c_1097]) ).
tcf(c_194077,plain,
! [X0: $i] :
( m1_subset_1(k2_finseq_1(np__1),k1_zfmisc_1(X0))
| ~ r2_hidden(np__1,X0) ),
inference(superposition,[status(thm)],[c_57872,c_1097]) ).
tcf(c_194079,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k2_tarski(X0,X0))
| ~ v1_membered(k1_zfmisc_1(X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1097,c_1723]) ).
tcf(c_194080,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(k2_tarski(X0,X0))
| ~ v2_membered(k1_zfmisc_1(X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1097,c_1722]) ).
tcf(c_194081,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k2_tarski(X0,X0))
| ~ v2_membered(k1_zfmisc_1(X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1097,c_1721]) ).
tcf(c_194082,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ~ v1_xboole_0(k1_zfmisc_1(X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1097,c_425]) ).
tcf(c_194083,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(X1))
| r2_hidden(k2_tarski(X0,X0),k1_zfmisc_1(X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1097,c_423]) ).
tcf(c_194084,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_1097,c_96]) ).
tcf(c_194100,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_tarski(X0,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ r2_hidden(X0,u1_struct_0(sK81(X1))) ),
inference(superposition,[status(thm)],[c_1097,c_78786]) ).
tcf(c_194117,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(X0,X0),k1_zfmisc_1(X1))
| ~ r2_hidden(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194083,c_121]) ).
tcf(c_194126,plain,
( v3_relat_2(sK90)
| ~ v3_relat_2(k4_relat_1(sK90))
| ~ v1_relat_1(k4_relat_1(sK90)) ),
inference(superposition,[status(thm)],[c_189530,c_3914]) ).
tcf(c_194127,plain,
( v8_relat_2(sK90)
| ~ v8_relat_2(k4_relat_1(sK90))
| ~ v1_relat_1(k4_relat_1(sK90)) ),
inference(superposition,[status(thm)],[c_189530,c_3913]) ).
tcf(c_194128,plain,
( v1_relat_2(sK90)
| ~ v1_relat_2(k4_relat_1(sK90))
| ~ v1_relat_1(k4_relat_1(sK90)) ),
inference(superposition,[status(thm)],[c_189530,c_3911]) ).
tcf(c_194140,plain,
( v1_xboole_0(sK90)
| ~ v1_xboole_0(k4_relat_1(sK90)) ),
inference(superposition,[status(thm)],[c_189530,c_3936]) ).
tcf(c_194142,plain,
~ v1_xboole_0(k4_relat_1(sK90)),
inference(forward_subsumption_resolution,[status(thm)],[c_194140,c_436]) ).
tcf(c_194153,plain,
( v3_relat_2(sK119)
| ~ v3_relat_2(k4_relat_1(sK119))
| ~ v1_relat_1(k4_relat_1(sK119)) ),
inference(superposition,[status(thm)],[c_189533,c_3914]) ).
tcf(c_194154,plain,
( v8_relat_2(sK119)
| ~ v8_relat_2(k4_relat_1(sK119))
| ~ v1_relat_1(k4_relat_1(sK119)) ),
inference(superposition,[status(thm)],[c_189533,c_3913]) ).
tcf(c_194155,plain,
( v1_relat_2(sK119)
| ~ v1_relat_2(k4_relat_1(sK119))
| ~ v1_relat_1(k4_relat_1(sK119)) ),
inference(superposition,[status(thm)],[c_189533,c_3911]) ).
tcf(c_194156,plain,
( v3_ordinal1(sK119)
| ~ v1_xboole_0(k4_relat_1(sK119)) ),
inference(superposition,[status(thm)],[c_189533,c_165312]) ).
tcf(c_194158,plain,
( v1_finset_1(sK119)
| ~ v1_xboole_0(k4_relat_1(sK119)) ),
inference(superposition,[status(thm)],[c_189533,c_164869]) ).
tcf(c_194159,plain,
( v1_membered(sK119)
| ~ v1_xboole_0(k4_relat_1(sK119)) ),
inference(superposition,[status(thm)],[c_189533,c_164868]) ).
tcf(c_194160,plain,
( v2_membered(sK119)
| ~ v1_xboole_0(k4_relat_1(sK119)) ),
inference(superposition,[status(thm)],[c_189533,c_164867]) ).
tcf(c_194161,plain,
( v3_membered(sK119)
| ~ v1_xboole_0(k4_relat_1(sK119)) ),
inference(superposition,[status(thm)],[c_189533,c_164866]) ).
tcf(c_194162,plain,
( v4_membered(sK119)
| ~ v1_xboole_0(k4_relat_1(sK119)) ),
inference(superposition,[status(thm)],[c_189533,c_164865]) ).
tcf(c_194163,plain,
( v5_membered(sK119)
| ~ v1_xboole_0(k4_relat_1(sK119)) ),
inference(superposition,[status(thm)],[c_189533,c_164864]) ).
tcf(c_194164,plain,
( v1_realset1(sK119)
| ~ v1_xboole_0(k4_relat_1(sK119)) ),
inference(superposition,[status(thm)],[c_189533,c_164863]) ).
tcf(c_194165,plain,
( v2_funct_1(sK119)
| ~ v1_xboole_0(k4_relat_1(sK119)) ),
inference(superposition,[status(thm)],[c_189533,c_164862]) ).
tcf(c_194167,plain,
( v1_xboole_0(sK119)
| ~ v1_xboole_0(k4_relat_1(sK119)) ),
inference(superposition,[status(thm)],[c_189533,c_3936]) ).
tcf(c_194198,plain,
( v3_relat_2(sK138)
| ~ v3_relat_2(k4_relat_1(sK138))
| ~ v1_relat_1(k4_relat_1(sK138)) ),
inference(superposition,[status(thm)],[c_189536,c_3914]) ).
tcf(c_194199,plain,
( v8_relat_2(sK138)
| ~ v8_relat_2(k4_relat_1(sK138))
| ~ v1_relat_1(k4_relat_1(sK138)) ),
inference(superposition,[status(thm)],[c_189536,c_3913]) ).
tcf(c_194200,plain,
( v1_relat_2(sK138)
| ~ v1_relat_2(k4_relat_1(sK138))
| ~ v1_relat_1(k4_relat_1(sK138)) ),
inference(superposition,[status(thm)],[c_189536,c_3911]) ).
tcf(c_194212,plain,
( v1_xboole_0(sK138)
| ~ v1_xboole_0(k4_relat_1(sK138)) ),
inference(superposition,[status(thm)],[c_189536,c_3936]) ).
tcf(c_194214,plain,
~ v1_xboole_0(k4_relat_1(sK138)),
inference(forward_subsumption_resolution,[status(thm)],[c_194212,c_780]) ).
tcf(c_194225,plain,
( v3_relat_2(sK336)
| ~ v3_relat_2(k4_relat_1(sK336))
| ~ v1_relat_1(k4_relat_1(sK336)) ),
inference(superposition,[status(thm)],[c_189547,c_3914]) ).
tcf(c_194226,plain,
( v8_relat_2(sK336)
| ~ v8_relat_2(k4_relat_1(sK336))
| ~ v1_relat_1(k4_relat_1(sK336)) ),
inference(superposition,[status(thm)],[c_189547,c_3913]) ).
tcf(c_194227,plain,
( v1_relat_2(sK336)
| ~ v1_relat_2(k4_relat_1(sK336))
| ~ v1_relat_1(k4_relat_1(sK336)) ),
inference(superposition,[status(thm)],[c_189547,c_3911]) ).
tcf(c_194228,plain,
( v3_ordinal1(sK336)
| ~ v1_xboole_0(k4_relat_1(sK336)) ),
inference(superposition,[status(thm)],[c_189547,c_165312]) ).
tcf(c_194230,plain,
( v1_finset_1(sK336)
| ~ v1_xboole_0(k4_relat_1(sK336)) ),
inference(superposition,[status(thm)],[c_189547,c_164869]) ).
tcf(c_194231,plain,
( v1_membered(sK336)
| ~ v1_xboole_0(k4_relat_1(sK336)) ),
inference(superposition,[status(thm)],[c_189547,c_164868]) ).
tcf(c_194232,plain,
( v2_membered(sK336)
| ~ v1_xboole_0(k4_relat_1(sK336)) ),
inference(superposition,[status(thm)],[c_189547,c_164867]) ).
tcf(c_194233,plain,
( v3_membered(sK336)
| ~ v1_xboole_0(k4_relat_1(sK336)) ),
inference(superposition,[status(thm)],[c_189547,c_164866]) ).
tcf(c_194234,plain,
( v4_membered(sK336)
| ~ v1_xboole_0(k4_relat_1(sK336)) ),
inference(superposition,[status(thm)],[c_189547,c_164865]) ).
tcf(c_194235,plain,
( v5_membered(sK336)
| ~ v1_xboole_0(k4_relat_1(sK336)) ),
inference(superposition,[status(thm)],[c_189547,c_164864]) ).
tcf(c_194236,plain,
( v1_realset1(sK336)
| ~ v1_xboole_0(k4_relat_1(sK336)) ),
inference(superposition,[status(thm)],[c_189547,c_164863]) ).
tcf(c_194239,plain,
( v1_xboole_0(sK336)
| ~ v1_xboole_0(k4_relat_1(sK336)) ),
inference(superposition,[status(thm)],[c_189547,c_3936]) ).
tcf(c_194268,plain,
( v3_relat_2(sK357)
| ~ v3_relat_2(k4_relat_1(sK357))
| ~ v1_relat_1(k4_relat_1(sK357)) ),
inference(superposition,[status(thm)],[c_189550,c_3914]) ).
tcf(c_194269,plain,
( v8_relat_2(sK357)
| ~ v8_relat_2(k4_relat_1(sK357))
| ~ v1_relat_1(k4_relat_1(sK357)) ),
inference(superposition,[status(thm)],[c_189550,c_3913]) ).
tcf(c_194270,plain,
( v1_relat_2(sK357)
| ~ v1_relat_2(k4_relat_1(sK357))
| ~ v1_relat_1(k4_relat_1(sK357)) ),
inference(superposition,[status(thm)],[c_189550,c_3911]) ).
tcf(c_194282,plain,
( v1_xboole_0(sK357)
| ~ v1_xboole_0(k4_relat_1(sK357)) ),
inference(superposition,[status(thm)],[c_189550,c_3936]) ).
tcf(c_194284,plain,
~ v1_xboole_0(k4_relat_1(sK357)),
inference(forward_subsumption_resolution,[status(thm)],[c_194282,c_2080]) ).
tcf(c_194295,plain,
( v3_relat_2(sK359)
| ~ v3_relat_2(k4_relat_1(sK359))
| ~ v1_relat_1(k4_relat_1(sK359)) ),
inference(superposition,[status(thm)],[c_189552,c_3914]) ).
tcf(c_194296,plain,
( v8_relat_2(sK359)
| ~ v8_relat_2(k4_relat_1(sK359))
| ~ v1_relat_1(k4_relat_1(sK359)) ),
inference(superposition,[status(thm)],[c_189552,c_3913]) ).
tcf(c_194297,plain,
( v1_relat_2(sK359)
| ~ v1_relat_2(k4_relat_1(sK359))
| ~ v1_relat_1(k4_relat_1(sK359)) ),
inference(superposition,[status(thm)],[c_189552,c_3911]) ).
tcf(c_194298,plain,
( v3_ordinal1(sK359)
| ~ v1_xboole_0(k4_relat_1(sK359)) ),
inference(superposition,[status(thm)],[c_189552,c_165312]) ).
tcf(c_194300,plain,
( v1_finset_1(sK359)
| ~ v1_xboole_0(k4_relat_1(sK359)) ),
inference(superposition,[status(thm)],[c_189552,c_164869]) ).
tcf(c_194301,plain,
( v1_membered(sK359)
| ~ v1_xboole_0(k4_relat_1(sK359)) ),
inference(superposition,[status(thm)],[c_189552,c_164868]) ).
tcf(c_194302,plain,
( v2_membered(sK359)
| ~ v1_xboole_0(k4_relat_1(sK359)) ),
inference(superposition,[status(thm)],[c_189552,c_164867]) ).
tcf(c_194303,plain,
( v3_membered(sK359)
| ~ v1_xboole_0(k4_relat_1(sK359)) ),
inference(superposition,[status(thm)],[c_189552,c_164866]) ).
tcf(c_194304,plain,
( v4_membered(sK359)
| ~ v1_xboole_0(k4_relat_1(sK359)) ),
inference(superposition,[status(thm)],[c_189552,c_164865]) ).
tcf(c_194305,plain,
( v5_membered(sK359)
| ~ v1_xboole_0(k4_relat_1(sK359)) ),
inference(superposition,[status(thm)],[c_189552,c_164864]) ).
tcf(c_194306,plain,
( v1_realset1(sK359)
| ~ v1_xboole_0(k4_relat_1(sK359)) ),
inference(superposition,[status(thm)],[c_189552,c_164863]) ).
tcf(c_194307,plain,
( v2_funct_1(sK359)
| ~ v1_xboole_0(k4_relat_1(sK359)) ),
inference(superposition,[status(thm)],[c_189552,c_164862]) ).
tcf(c_194309,plain,
( v1_xboole_0(sK359)
| ~ v1_xboole_0(k4_relat_1(sK359)) ),
inference(superposition,[status(thm)],[c_189552,c_3936]) ).
tcf(c_194394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r2_hidden(k2_enumset1(X0,X0,X1,X2),k1_zfmisc_1(k2_enumset1(X0,X1,X2,X3))),
inference(superposition,[status(thm)],[c_53,c_190651]) ).
tcf(c_194395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r2_hidden(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k1_zfmisc_1(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))),
inference(superposition,[status(thm)],[c_501,c_190651]) ).
tcf(c_194396,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(k2_zfmisc_1(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,k2_xboole_0(X1,X2)))),
inference(superposition,[status(thm)],[c_504,c_190651]) ).
tcf(c_194397,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(k2_zfmisc_1(X0,X1),k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(X0,X2),X1))),
inference(superposition,[status(thm)],[c_503,c_190651]) ).
tcf(c_194399,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(k4_xboole_0(X0,X1),k1_zfmisc_1(k4_xboole_0(k2_xboole_0(X0,X2),X1))),
inference(superposition,[status(thm)],[c_526,c_190651]) ).
tcf(c_194407,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(X0)
| ~ v3_ordinal1(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_190651,c_2262]) ).
tcf(c_194408,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_190651,c_2249]) ).
tcf(c_194409,plain,
! [X0: $i,X1: $i] :
( v1_int_1(X0)
| ~ v4_membered(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_190651,c_2115]) ).
tcf(c_194410,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_190651,c_1718]) ).
tcf(c_194411,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_190651,c_1270]) ).
tcf(c_194415,plain,
! [X0: $i,X1: $i] : m1_subset_1(X0,k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_190651,c_421]) ).
tcf(c_194417,plain,
! [X0: $i] : k1_setfam_1(k1_zfmisc_1(k2_xboole_0(np__0,X0))) = np__0,
inference(superposition,[status(thm)],[c_190651,c_3410]) ).
tcf(c_194434,plain,
! [X0: $i,X1: $i] : r2_hidden(k4_xboole_0(X0,X1),k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_528,c_190654]) ).
tcf(c_194436,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k4_xboole_0(X0,X1))
| ~ v3_ordinal1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_190654,c_2262]) ).
tcf(c_194437,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(k4_xboole_0(X0,X1))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_190654,c_2249]) ).
tcf(c_194438,plain,
! [X0: $i,X1: $i] :
( v1_int_1(k4_xboole_0(X0,X1))
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_190654,c_2115]) ).
tcf(c_194439,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k4_xboole_0(X0,X1))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_190654,c_1718]) ).
tcf(c_194440,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(k4_xboole_0(X0,X1))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_190654,c_1270]) ).
tcf(c_194441,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_190654,c_431]) ).
tcf(c_194444,plain,
! [X0: $i,X1: $i] : m1_subset_1(k4_xboole_0(X0,X1),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_190654,c_421]) ).
tcf(c_194463,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_192910,c_78840,c_192910]) ).
tcf(c_194470,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_194463,c_100]) ).
tcf(c_194471,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_194463,c_1723]) ).
tcf(c_194472,plain,
! [X0: $i] :
( v1_xreal_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_194463,c_1722]) ).
tcf(c_194473,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_194463,c_1721]) ).
tcf(c_194474,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_194463,c_425]) ).
tcf(c_194475,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_194463,c_423]) ).
tcf(c_194476,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_194463,c_78786]) ).
tcf(c_194488,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194475,c_121]) ).
tcf(c_194504,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tarski(X0,X0),X1)
| ( sK85(k2_tarski(X0,X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_398,c_1116]) ).
tcf(c_194506,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( sK122(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_654,c_1116]) ).
tcf(c_194507,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( sK124(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_660,c_1116]) ).
tcf(c_194508,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( sK125(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_662,c_1116]) ).
tcf(c_194509,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( sK126(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_664,c_1116]) ).
tcf(c_194510,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( sK127(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_666,c_1116]) ).
tcf(c_194511,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( sK128(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_668,c_1116]) ).
tcf(c_194512,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( sK129(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_670,c_1116]) ).
tcf(c_194513,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_tarski(X0,X0),X1)
| ( sK131(k2_tarski(X0,X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_732,c_1116]) ).
tcf(c_194514,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,k2_tarski(X1,X1))
| ( sK131(X0,k2_tarski(X1,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_733,c_1116]) ).
tcf(c_194515,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( sK182(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1014,c_1116]) ).
tcf(c_194516,plain,
! [X0: $i] :
( sP9(k2_tarski(X0,X0))
| v1_funct_1(k2_tarski(X0,X0))
| ( sK188(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1026,c_1116]) ).
tcf(c_194517,plain,
! [X0: $i] :
( sP9(k2_tarski(X0,X0))
| v1_relat_1(k2_tarski(X0,X0))
| ( sK188(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1024,c_1116]) ).
tcf(c_194518,plain,
! [X0: $i] :
( v1_relat_1(k2_tarski(X0,X0))
| ( sK201(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1045,c_1116]) ).
tcf(c_194519,plain,
! [X0: $i] :
( v4_membered(k3_tarski(k2_tarski(X0,X0)))
| ( sK231(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1162,c_1116]) ).
tcf(c_194520,plain,
! [X0: $i] :
( v3_membered(k3_tarski(k2_tarski(X0,X0)))
| ( sK232(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1164,c_1116]) ).
tcf(c_194521,plain,
! [X0: $i] :
( v2_membered(k3_tarski(k2_tarski(X0,X0)))
| ( sK233(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1166,c_1116]) ).
tcf(c_194522,plain,
! [X0: $i] :
( v1_membered(k3_tarski(k2_tarski(X0,X0)))
| ( sK234(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1168,c_1116]) ).
tcf(c_194523,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(k2_tarski(X0,X0)))
| ( sK236(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1175,c_1116]) ).
tcf(c_194524,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(k2_tarski(X0,X0)),X1)
| ( sK240(k2_tarski(X0,X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_1187,c_1116]) ).
tcf(c_194525,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(k2_tarski(X0,X0)),X1)
| ( sK241(k2_tarski(X0,X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_1192,c_1116]) ).
tcf(c_194526,plain,
! [X0: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ( sK254(k2_tarski(X0,X0)) = X0 )
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_1267,c_1116]) ).
tcf(c_194527,plain,
! [X0: $i] :
( v5_membered(k2_tarski(X0,X0))
| ( sK255(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1269,c_1116]) ).
tcf(c_194528,plain,
! [X0: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ( sK312(k2_tarski(X0,X0)) = X0 )
| ~ v1_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_1715,c_1116]) ).
tcf(c_194529,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ( sK313(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1717,c_1116]) ).
tcf(c_194532,plain,
! [X0: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ( sK364(k2_tarski(X0,X0)) = X0 )
| ~ v4_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_2111,c_1116]) ).
tcf(c_194533,plain,
! [X0: $i] :
( v4_membered(k2_tarski(X0,X0))
| ( sK365(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2114,c_1116]) ).
tcf(c_194534,plain,
! [X0: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ( sK371(k2_tarski(X0,X0)) = X0 )
| ~ v2_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_2245,c_1116]) ).
tcf(c_194535,plain,
! [X0: $i] :
( v2_membered(k2_tarski(X0,X0))
| ( sK372(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2248,c_1116]) ).
tcf(c_194536,plain,
! [X0: $i] :
( v3_ordinal1(sK374(k2_tarski(X0,X0)))
| ( sK374(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2253,c_1116]) ).
tcf(c_194537,plain,
! [X0: $i] :
( v3_ordinal1(sK376(k2_tarski(X0,X0)))
| ( sK375(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2257,c_1116]) ).
tcf(c_194538,plain,
! [X0: $i] :
( v3_ordinal1(k2_tarski(X0,X0))
| ( sK377(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2259,c_1116]) ).
tcf(c_194539,plain,
! [X0: $i] :
( v4_ordinal1(k2_tarski(X0,X0))
| ( sK379(k2_tarski(X0,X0)) = X0 )
| ~ v3_ordinal1(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_2271,c_1116]) ).
tcf(c_194540,plain,
! [X0: $i] :
( v5_membered(k3_tarski(k2_tarski(X0,X0)))
| ( sK381(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2332,c_1116]) ).
tcf(c_194543,plain,
! [X0: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ( X0 = np__0 )
| ~ v1_classes2(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_3075,c_1116]) ).
tcf(c_194544,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(k2_tarski(X0,X0)))
| ( sK535(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3401,c_1116]) ).
tcf(c_194545,plain,
! [X0: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ( sK87(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_177609,c_1116]) ).
tcf(c_194553,plain,
! [X0: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ( sK43(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_175554,c_1116]) ).
tcf(c_194554,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_1112,c_1116]) ).
tcf(c_194555,plain,
! [X0: $i] :
( ( X0 = np__1 )
| ~ r2_hidden(X0,k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_57872,c_1116]) ).
tcf(c_194560,plain,
! [X0: $i] : sK43(k2_tarski(X0,X0)) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_194553,c_1991]) ).
tcf(c_194573,plain,
! [X0: $i] : sK87(k2_tarski(X0,X0)) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_194545,c_1991]) ).
tcf(c_194586,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ( sK535(k2_tarski(X0,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_194544,c_3403]) ).
tcf(c_194605,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v1_classes2(k2_tarski(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194543,c_1991]) ).
tcf(c_194645,plain,
! [X0: $i] :
( ( sK371(k2_tarski(X0,X0)) = X0 )
| ~ v2_membered(k2_tarski(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194534,c_1991]) ).
tcf(c_194648,plain,
! [X0: $i] :
( ( sK364(k2_tarski(X0,X0)) = X0 )
| ~ v4_membered(k2_tarski(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194532,c_1991]) ).
tcf(c_194651,plain,
! [X0: $i] :
( ( sK312(k2_tarski(X0,X0)) = X0 )
| ~ v1_membered(k2_tarski(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194528,c_1991]) ).
tcf(c_194654,plain,
! [X0: $i] :
( ( sK254(k2_tarski(X0,X0)) = X0 )
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194526,c_1991]) ).
tcf(c_194773,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ~ r2_hidden(X0,k4_xboole_0(X1,k2_tarski(X0,X0))) ),
inference(superposition,[status(thm)],[c_1108,c_1144]) ).
tcf(c_194774,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,X2) = np__0 )
| ~ r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X0,X2))) ),
inference(superposition,[status(thm)],[c_1143,c_1144]) ).
tcf(c_194775,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(X1) = np__0 )
| ~ r2_hidden(k4_xboole_0(X0,k1_setfam_1(X1)),X1) ),
inference(superposition,[status(thm)],[c_3411,c_1144]) ).
tcf(c_194776,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(X0,X1) = np__0 )
| ~ r1_tarski(k2_xboole_0(X0,X1),np__0) ),
inference(superposition,[status(thm)],[c_522,c_1144]) ).
tcf(c_194793,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168873,c_1145]) ).
tcf(c_194794,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)) = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_1145]) ).
tcf(c_194797,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)),k5_finsub_1(k2_xboole_0(X0,X1))) = np__0,
inference(superposition,[status(thm)],[c_492,c_1145]) ).
tcf(c_194798,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))) = np__0,
inference(superposition,[status(thm)],[c_505,c_1145]) ).
tcf(c_194799,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)),k1_zfmisc_1(k2_xboole_0(X0,X1))) = np__0,
inference(superposition,[status(thm)],[c_507,c_1145]) ).
tcf(c_194800,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,k2_xboole_0(X2,X1)) = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_537,c_1145]) ).
tcf(c_194802,plain,
! [X0: $i] : k4_xboole_0(k5_finsub_1(X0),k1_zfmisc_1(X0)) = np__0,
inference(superposition,[status(thm)],[c_769,c_1145]) ).
tcf(c_194803,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)) = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_770,c_1145]) ).
tcf(c_194804,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(k2_relat_1(sK146(X0,X1)),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_839,c_1145]) ).
tcf(c_194805,plain,
! [X0: $i] :
( ( k4_xboole_0(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0))) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_869,c_1145]) ).
tcf(c_194808,plain,
! [X0: $i] : k4_xboole_0(k2_tarski(X0,X0),k1_zfmisc_1(X0)) = np__0,
inference(superposition,[status(thm)],[c_1102,c_1145]) ).
tcf(c_194810,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k4_xboole_0(X0,X2),X1) = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1143,c_1145]) ).
tcf(c_194811,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k4_xboole_0(X0,X1),X0) = np__0,
inference(superposition,[status(thm)],[c_1147,c_1145]) ).
tcf(c_194812,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k3_tarski(X1)) = np__0 )
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1193,c_1145]) ).
tcf(c_194813,plain,
! [X0: $i] : k4_xboole_0(X0,k1_zfmisc_1(k3_tarski(X0))) = np__0,
inference(superposition,[status(thm)],[c_1184,c_1145]) ).
tcf(c_194814,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k3_tarski(X0),k3_tarski(X1)) = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1190,c_1145]) ).
tcf(c_194815,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k1_card_1(X0),k1_card_1(X1)) = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2062,c_1145]) ).
tcf(c_194816,plain,
k4_xboole_0(k5_numbers,k1_numbers) = np__0,
inference(superposition,[status(thm)],[c_1302,c_1145]) ).
tcf(c_194817,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k9_relat_1(X0,X1),k2_relat_1(X0)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1875,c_1145]) ).
tcf(c_194818,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k7_relat_1(X0,X1),X0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1929,c_1145]) ).
tcf(c_194819,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k1_relat_1(k7_relat_1(X0,X1)),X1) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_1145]) ).
tcf(c_194820,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k10_relat_1(X0,X1),k1_relat_1(X0)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1974,c_1145]) ).
tcf(c_194823,plain,
! [X0: $i] :
( ( k4_xboole_0(X0,k4_numbers) = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2112,c_1145]) ).
tcf(c_194824,plain,
! [X0: $i] :
( ( k4_xboole_0(X0,k3_numbers) = np__0 )
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_2216,c_1145]) ).
tcf(c_194825,plain,
! [X0: $i] :
( ( k4_xboole_0(X0,k1_numbers) = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2246,c_1145]) ).
tcf(c_194826,plain,
! [X0: $i] :
( r2_hidden(sK375(X0),X0)
| ( k4_xboole_0(X0,sK376(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_2256,c_1145]) ).
tcf(c_194827,plain,
! [X0: $i] :
( ( k4_xboole_0(X0,sK376(X0)) = np__0 )
| ~ v3_ordinal1(sK375(X0)) ),
inference(superposition,[status(thm)],[c_2254,c_1145]) ).
tcf(c_194828,plain,
! [X0: $i] :
( ( k4_xboole_0(X0,k5_numbers) = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2334,c_1145]) ).
tcf(c_194829,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_tarski(X0,X1),k2_enumset1(X0,X0,X1,X2)) = np__0,
inference(superposition,[status(thm)],[c_2339,c_1145]) ).
tcf(c_194830,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_tarski(X0,X0),k2_enumset1(X0,X0,X1,X2)) = np__0,
inference(superposition,[status(thm)],[c_2340,c_1145]) ).
tcf(c_194831,plain,
! [X0: $i] : k4_xboole_0(k6_partfun1(X0),k2_zfmisc_1(X0,X0)) = np__0,
inference(superposition,[status(thm)],[c_2813,c_1145]) ).
tcf(c_194832,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k5_relat_1(X0,k6_partfun1(X1)),X0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2843,c_1145]) ).
tcf(c_194833,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k5_relat_1(k6_partfun1(X1),X0),X0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2844,c_1145]) ).
tcf(c_194834,plain,
! [X0: $i] :
( ( k4_xboole_0(k1_relat_1(X0),k3_relat_1(X0)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2876,c_1145]) ).
tcf(c_194835,plain,
! [X0: $i] :
( ( k4_xboole_0(k2_relat_1(X0),k3_relat_1(X0)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2877,c_1145]) ).
tcf(c_194836,plain,
! [X0: $i] :
( ( k4_xboole_0(X0,k2_numbers) = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3060,c_1145]) ).
tcf(c_194837,plain,
k4_xboole_0(k5_numbers,k2_numbers) = np__0,
inference(superposition,[status(thm)],[c_3068,c_1145]) ).
tcf(c_194838,plain,
k4_xboole_0(k4_numbers,k2_numbers) = np__0,
inference(superposition,[status(thm)],[c_3069,c_1145]) ).
tcf(c_194839,plain,
k4_xboole_0(k3_numbers,k2_numbers) = np__0,
inference(superposition,[status(thm)],[c_3070,c_1145]) ).
tcf(c_194840,plain,
k4_xboole_0(k1_numbers,k2_numbers) = np__0,
inference(superposition,[status(thm)],[c_3071,c_1145]) ).
tcf(c_194841,plain,
k4_xboole_0(k5_numbers,k4_numbers) = np__0,
inference(superposition,[status(thm)],[c_3091,c_1145]) ).
tcf(c_194842,plain,
k4_xboole_0(k4_numbers,k1_numbers) = np__0,
inference(superposition,[status(thm)],[c_3092,c_1145]) ).
tcf(c_194843,plain,
k4_xboole_0(k4_numbers,k3_numbers) = np__0,
inference(superposition,[status(thm)],[c_3093,c_1145]) ).
tcf(c_194844,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k4_xboole_0(X0,X1),k5_xboole_0(X0,X1)) = np__0,
inference(superposition,[status(thm)],[c_3126,c_1145]) ).
tcf(c_194845,plain,
k4_xboole_0(k5_numbers,k3_numbers) = np__0,
inference(superposition,[status(thm)],[c_3145,c_1145]) ).
tcf(c_194846,plain,
k4_xboole_0(k3_numbers,k1_numbers) = np__0,
inference(superposition,[status(thm)],[c_3146,c_1145]) ).
tcf(c_194847,plain,
! [X0: $i] :
( ( k4_xboole_0(k4_classes1(k1_card_1(X0)),X0) = np__0 )
| ~ v2_classes1(X0) ),
inference(superposition,[status(thm)],[c_3158,c_1145]) ).
tcf(c_194848,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k1_setfam_1(X1),X0) = np__0 )
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_3411,c_1145]) ).
tcf(c_194849,plain,
! [X0: $i] : k4_xboole_0(k1_setfam_1(X0),k3_tarski(X0)) = np__0,
inference(superposition,[status(thm)],[c_3412,c_1145]) ).
tcf(c_194850,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_funct_2(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,X1))) = np__0,
inference(superposition,[status(thm)],[c_3467,c_1145]) ).
tcf(c_194851,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k8_relat_1(X1,X0),X0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3893,c_1145]) ).
tcf(c_194852,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k2_relat_1(k8_relat_1(X1,X0)),X1) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_1145]) ).
tcf(c_194853,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k6_partfun1(X0),k6_partfun1(X1)) = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_3977,c_1145]) ).
tcf(c_194854,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k4_xboole_0(sK54(X0),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_168498,c_1145]) ).
tcf(c_194855,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k4_xboole_0(sK141(X0),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_168499,c_1145]) ).
tcf(c_194856,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k4_xboole_0(sK142(X0),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_168500,c_1145]) ).
tcf(c_194857,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k2_xboole_0(X0,X2)) = np__0,
inference(superposition,[status(thm)],[c_49625,c_1145]) ).
tcf(c_194858,plain,
! [X0: $i] : k4_xboole_0(k1_zfmisc_1(np__0),k2_tarski(X0,np__0)) = np__0,
inference(superposition,[status(thm)],[c_166778,c_1145]) ).
tcf(c_194859,plain,
! [X0: $i] : k4_xboole_0(k1_zfmisc_1(np__0),k2_tarski(np__0,X0)) = np__0,
inference(superposition,[status(thm)],[c_166781,c_1145]) ).
tcf(c_194860,plain,
! [X0: $i] : k4_xboole_0(k2_finseq_1(np__1),k2_tarski(np__1,X0)) = np__0,
inference(superposition,[status(thm)],[c_168386,c_1145]) ).
tcf(c_194861,plain,
! [X0: $i] : k4_xboole_0(k2_finseq_1(np__1),k2_tarski(X0,np__1)) = np__0,
inference(superposition,[status(thm)],[c_168387,c_1145]) ).
tcf(c_194862,plain,
k4_xboole_0(k2_finseq_1(np__1),k1_zfmisc_1(np__1)) = np__0,
inference(superposition,[status(thm)],[c_168397,c_1145]) ).
tcf(c_194863,plain,
! [X0: $i] : k4_xboole_0(sK43(k1_zfmisc_1(X0)),X0) = np__0,
inference(superposition,[status(thm)],[c_168495,c_1145]) ).
tcf(c_194865,plain,
! [X0: $i] : k4_xboole_0(sK87(k1_zfmisc_1(X0)),X0) = np__0,
inference(superposition,[status(thm)],[c_178146,c_1145]) ).
tcf(c_194866,plain,
! [X0: $i] : k4_xboole_0(X0,k3_relat_1(k6_partfun1(X0))) = np__0,
inference(superposition,[status(thm)],[c_171630,c_1145]) ).
tcf(c_194867,plain,
! [X0: $i] : k4_xboole_0(k1_funct_2(X0,np__0),k1_zfmisc_1(np__0)) = np__0,
inference(superposition,[status(thm)],[c_173434,c_1145]) ).
tcf(c_194868,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X0) = np__0,
inference(superposition,[status(thm)],[c_174032,c_1145]) ).
tcf(c_194869,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X1) = np__0,
inference(superposition,[status(thm)],[c_174100,c_1145]) ).
tcf(c_194870,plain,
! [X0: $i] : k4_xboole_0(k1_zfmisc_1(np__0),k5_finsub_1(X0)) = np__0,
inference(superposition,[status(thm)],[c_177394,c_1145]) ).
tcf(c_194871,plain,
k4_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(sK138)) = np__0,
inference(superposition,[status(thm)],[c_179027,c_1145]) ).
tcf(c_194872,plain,
k4_xboole_0(sK135(sK138),sK138) = np__0,
inference(superposition,[status(thm)],[c_179059,c_1145]) ).
tcf(c_194873,plain,
k4_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(sK143)) = np__0,
inference(superposition,[status(thm)],[c_179154,c_1145]) ).
tcf(c_194874,plain,
k4_xboole_0(sK135(sK143),sK143) = np__0,
inference(superposition,[status(thm)],[c_179186,c_1145]) ).
tcf(c_194875,plain,
k4_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(sK357)) = np__0,
inference(superposition,[status(thm)],[c_179269,c_1145]) ).
tcf(c_194876,plain,
k4_xboole_0(sK135(sK357),sK357) = np__0,
inference(superposition,[status(thm)],[c_179301,c_1145]) ).
tcf(c_194877,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k9_relat_1(k6_partfun1(X0),X1),X0) = np__0,
inference(superposition,[status(thm)],[c_182635,c_1145]) ).
tcf(c_194878,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k10_relat_1(k6_partfun1(X0),X1),X0) = np__0,
inference(superposition,[status(thm)],[c_183221,c_1145]) ).
tcf(c_195082,plain,
! [X0: $i] :
( r1_tarski(X0,np__0)
| ( X0 != np__0 ) ),
inference(superposition,[status(thm)],[c_1153,c_1146]) ).
tcf(c_195084,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_xboole_0(X0,X1),X1)
| ( k4_xboole_0(X0,X1) != np__0 ) ),
inference(superposition,[status(thm)],[c_528,c_1146]) ).
tcf(c_195092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : m1_subset_1(k2_tarski(X0,X0),k1_zfmisc_1(k2_enumset1(X1,X2,X3,X0))),
inference(superposition,[status(thm)],[c_53,c_190663]) ).
tcf(c_195093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : m1_subset_1(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),k1_zfmisc_1(k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X3,X2)))),
inference(superposition,[status(thm)],[c_501,c_190663]) ).
tcf(c_195094,plain,
! [X0: $i,X1: $i,X2: $i] : m1_subset_1(k2_zfmisc_1(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,k2_xboole_0(X2,X1)))),
inference(superposition,[status(thm)],[c_504,c_190663]) ).
tcf(c_195095,plain,
! [X0: $i,X1: $i,X2: $i] : m1_subset_1(k2_zfmisc_1(X0,X1),k1_zfmisc_1(k2_zfmisc_1(k2_xboole_0(X2,X0),X1))),
inference(superposition,[status(thm)],[c_503,c_190663]) ).
tcf(c_195096,plain,
! [X0: $i,X1: $i] : m1_subset_1(k4_xboole_0(X0,X1),k1_zfmisc_1(k2_xboole_0(X1,X0))),
inference(superposition,[status(thm)],[c_529,c_190663]) ).
tcf(c_195097,plain,
! [X0: $i,X1: $i,X2: $i] : m1_subset_1(k4_xboole_0(X0,X1),k1_zfmisc_1(k4_xboole_0(k2_xboole_0(X2,X0),X1))),
inference(superposition,[status(thm)],[c_526,c_190663]) ).
tcf(c_195098,plain,
! [X0: $i,X1: $i] : m1_subset_1(k2_xboole_0(X0,X1),k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_541,c_190663]) ).
tcf(c_195103,plain,
! [X0: $i,X1: $i] : m1_subset_1(k1_setfam_1(k2_tarski(X0,X1)),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_49624,c_190663]) ).
tcf(c_195108,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ v2_membered(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_190663,c_1721]) ).
tcf(c_195109,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ v1_xboole_0(k1_zfmisc_1(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_190663,c_425]) ).
tcf(c_195214,plain,
k4_xboole_0(k5_numbers,k1_numbers) = k4_xboole_0(k1_numbers,k1_numbers),
inference(superposition,[status(thm)],[c_191674,c_528]) ).
tcf(c_195215,plain,
r1_tarski(k2_xboole_0(k1_zfmisc_1(k5_numbers),k1_zfmisc_1(k1_numbers)),k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_191674,c_507]) ).
tcf(c_195218,plain,
r1_tarski(k2_xboole_0(k5_finsub_1(k5_numbers),k5_finsub_1(k1_numbers)),k5_finsub_1(k1_numbers)),
inference(superposition,[status(thm)],[c_191674,c_492]) ).
tcf(c_195219,plain,
! [X0: $i] :
( r1_tarski(k5_numbers,X0)
| ~ r1_tarski(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_191674,c_536]) ).
tcf(c_195220,plain,
r1_tarski(k2_zfmisc_1(k5_numbers,k1_numbers),k1_zfmisc_1(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_191674,c_505]) ).
tcf(c_195221,plain,
~ r2_hidden(k1_numbers,k1_numbers),
inference(superposition,[status(thm)],[c_191674,c_169259]) ).
tcf(c_195229,plain,
! [X0: $i] :
( ( np__0 = k5_numbers )
| ( k2_tarski(X0,X0) = k5_numbers )
| ( k2_tarski(X0,X0) != k1_numbers ) ),
inference(superposition,[status(thm)],[c_191674,c_512]) ).
tcf(c_195230,plain,
! [X0: $i] :
( ( k5_numbers = k1_numbers )
| ( np__0 = k1_numbers )
| ( np__0 = k5_numbers )
| ( k2_tarski(X0,X0) != k1_numbers ) ),
inference(superposition,[status(thm)],[c_191674,c_511]) ).
tcf(c_195232,plain,
! [X0: $i] :
( r1_xboole_0(X0,k5_numbers)
| ~ r1_xboole_0(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_191674,c_717]) ).
tcf(c_195233,plain,
! [X0: $i] :
( r2_hidden(X0,k1_numbers)
| ~ r2_hidden(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_191674,c_550]) ).
tcf(c_195234,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k2_tarski(k5_numbers,X0)),k1_numbers),
inference(superposition,[status(thm)],[c_191674,c_49625]) ).
tcf(c_195237,plain,
m1_subset_1(k1_numbers,k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_191674,c_190663]) ).
tcf(c_195238,plain,
r2_hidden(k1_numbers,k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_191674,c_183409]) ).
tcf(c_195239,plain,
r1_tarski(k1_numbers,k1_numbers),
inference(superposition,[status(thm)],[c_191674,c_169158]) ).
tcf(c_195247,plain,
k4_xboole_0(k1_numbers,k1_numbers) = np__0,
inference(light_normalisation,[status(thm)],[c_195214,c_194816]) ).
tcf(c_195251,plain,
! [X0: $i] :
( ( np__0 = k1_numbers )
| ( np__0 = k5_numbers )
| ( k2_tarski(X0,X0) != k1_numbers ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195230,c_1301]) ).
tcf(c_195261,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_193530,c_78840,c_193530]) ).
tcf(c_195268,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_195261,c_100]) ).
tcf(c_195269,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_195261,c_1723]) ).
tcf(c_195270,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_195261,c_1722]) ).
tcf(c_195271,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_195261,c_1721]) ).
tcf(c_195272,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_195261,c_425]) ).
tcf(c_195273,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_195261,c_423]) ).
tcf(c_195274,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_195261,c_78786]) ).
tcf(c_195286,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195273,c_121]) ).
tcf(c_195302,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| ~ r2_hidden(sK85(k4_xboole_0(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_398,c_1159]) ).
tcf(c_195304,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r2_hidden(sK122(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_654,c_1159]) ).
tcf(c_195305,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r2_hidden(sK124(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_660,c_1159]) ).
tcf(c_195306,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r2_hidden(sK125(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_662,c_1159]) ).
tcf(c_195307,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r2_hidden(sK126(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_664,c_1159]) ).
tcf(c_195308,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r2_hidden(sK127(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_666,c_1159]) ).
tcf(c_195309,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r2_hidden(sK128(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_668,c_1159]) ).
tcf(c_195310,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r2_hidden(sK129(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_670,c_1159]) ).
tcf(c_195311,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k4_xboole_0(X0,X1),X2)
| ~ r2_hidden(sK131(k4_xboole_0(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_732,c_1159]) ).
tcf(c_195312,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X1,X2))
| ~ r2_hidden(sK131(X0,k4_xboole_0(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_733,c_1159]) ).
tcf(c_195313,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r2_hidden(sK182(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_1014,c_1159]) ).
tcf(c_195314,plain,
! [X0: $i,X1: $i] :
( sP9(k4_xboole_0(X0,X1))
| v1_funct_1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK188(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_1026,c_1159]) ).
tcf(c_195315,plain,
! [X0: $i,X1: $i] :
( sP9(k4_xboole_0(X0,X1))
| v1_relat_1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK188(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_1024,c_1159]) ).
tcf(c_195316,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK201(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_1045,c_1159]) ).
tcf(c_195317,plain,
! [X0: $i,X1: $i] :
( v4_membered(k3_tarski(k4_xboole_0(X0,X1)))
| ~ r2_hidden(sK231(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_1162,c_1159]) ).
tcf(c_195318,plain,
! [X0: $i,X1: $i] :
( v3_membered(k3_tarski(k4_xboole_0(X0,X1)))
| ~ r2_hidden(sK232(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_1164,c_1159]) ).
tcf(c_195319,plain,
! [X0: $i,X1: $i] :
( v2_membered(k3_tarski(k4_xboole_0(X0,X1)))
| ~ r2_hidden(sK233(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_1166,c_1159]) ).
tcf(c_195320,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k4_xboole_0(X0,X1)))
| ~ r2_hidden(sK234(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_1168,c_1159]) ).
tcf(c_195321,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k3_tarski(k4_xboole_0(X0,X1)))
| ~ r2_hidden(sK236(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_1175,c_1159]) ).
tcf(c_195322,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k3_tarski(k4_xboole_0(X0,X1)),X2)
| ~ r2_hidden(sK240(k4_xboole_0(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_1187,c_1159]) ).
tcf(c_195323,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(k4_xboole_0(X0,X1)),X2)
| ~ r2_hidden(sK241(k4_xboole_0(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_1192,c_1159]) ).
tcf(c_195324,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ v5_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK254(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_1267,c_1159]) ).
tcf(c_195325,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK255(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_1269,c_1159]) ).
tcf(c_195326,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ v1_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK312(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_1715,c_1159]) ).
tcf(c_195327,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK313(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_1717,c_1159]) ).
tcf(c_195328,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ v4_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK364(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2111,c_1159]) ).
tcf(c_195329,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK365(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2114,c_1159]) ).
tcf(c_195330,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ v2_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK371(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2245,c_1159]) ).
tcf(c_195331,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK372(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2248,c_1159]) ).
tcf(c_195332,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(sK374(k4_xboole_0(X0,X1)))
| ~ r2_hidden(sK374(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2253,c_1159]) ).
tcf(c_195333,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(sK376(k4_xboole_0(X0,X1)))
| ~ r2_hidden(sK375(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2257,c_1159]) ).
tcf(c_195334,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK377(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2259,c_1159]) ).
tcf(c_195335,plain,
! [X0: $i,X1: $i] :
( v4_ordinal1(k4_xboole_0(X0,X1))
| ~ v3_ordinal1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK379(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2271,c_1159]) ).
tcf(c_195336,plain,
! [X0: $i,X1: $i] :
( v5_membered(k3_tarski(k4_xboole_0(X0,X1)))
| ~ r2_hidden(sK381(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2332,c_1159]) ).
tcf(c_195337,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK484(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_3010,c_1159]) ).
tcf(c_195338,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK485(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_3011,c_1159]) ).
tcf(c_195339,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ r2_hidden(np__0,X1)
| ~ v1_classes2(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_3075,c_1159]) ).
tcf(c_195340,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k1_setfam_1(k4_xboole_0(X0,X1)))
| ~ r2_hidden(sK535(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_3401,c_1159]) ).
tcf(c_195341,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK87(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_177609,c_1159]) ).
tcf(c_195342,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK87(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_168917,c_1159]) ).
tcf(c_195343,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK87(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_168914,c_1159]) ).
tcf(c_195344,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK87(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_168911,c_1159]) ).
tcf(c_195345,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK87(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_168910,c_1159]) ).
tcf(c_195346,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK87(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_168906,c_1159]) ).
tcf(c_195347,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK87(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_168905,c_1159]) ).
tcf(c_195348,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK87(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_168899,c_1159]) ).
tcf(c_195349,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK43(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_175554,c_1159]) ).
tcf(c_195617,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ~ r1_tarski(X1,X0)
| ~ v1_finset_1(k3_tarski(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_125,c_1170]) ).
tcf(c_195618,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_finset_1(sK85(X0,X1))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_398,c_1170]) ).
tcf(c_195620,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(X2)
| ~ r2_hidden(X2,X0)
| ~ v1_finset_1(k3_tarski(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_550,c_1170]) ).
tcf(c_195621,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(X2)
| ~ r2_hidden(X2,X1)
| ~ v1_finset_1(k3_tarski(k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_551,c_1170]) ).
tcf(c_195622,plain,
! [X0: $i] :
( v1_finset_1(sK122(X0))
| ( X0 = np__0 )
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_654,c_1170]) ).
tcf(c_195623,plain,
! [X0: $i] :
( v1_finset_1(sK124(X0))
| ( X0 = np__0 )
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_660,c_1170]) ).
tcf(c_195624,plain,
! [X0: $i] :
( v1_finset_1(sK125(X0))
| ( X0 = np__0 )
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_662,c_1170]) ).
tcf(c_195625,plain,
! [X0: $i] :
( v1_finset_1(sK126(X0))
| ( X0 = np__0 )
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_664,c_1170]) ).
tcf(c_195626,plain,
! [X0: $i] :
( v1_finset_1(sK127(X0))
| ( X0 = np__0 )
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_666,c_1170]) ).
tcf(c_195627,plain,
! [X0: $i] :
( v1_finset_1(sK128(X0))
| ( X0 = np__0 )
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_668,c_1170]) ).
tcf(c_195628,plain,
! [X0: $i] :
( v1_finset_1(sK129(X0))
| ( X0 = np__0 )
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_670,c_1170]) ).
tcf(c_195629,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v1_finset_1(sK131(X0,X1))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_732,c_1170]) ).
tcf(c_195630,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| v1_finset_1(sK131(X1,X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_733,c_1170]) ).
tcf(c_195631,plain,
! [X0: $i] :
( v1_finset_1(sK182(X0))
| ( X0 = np__0 )
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_1014,c_1170]) ).
tcf(c_195632,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| v1_finset_1(sK188(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_1026,c_1170]) ).
tcf(c_195633,plain,
! [X0: $i] :
( sP9(X0)
| v1_relat_1(X0)
| v1_finset_1(sK188(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_1024,c_1170]) ).
tcf(c_195634,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_finset_1(sK201(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_1045,c_1170]) ).
tcf(c_195635,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| v1_finset_1(sK231(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_1162,c_1170]) ).
tcf(c_195636,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| v1_finset_1(sK232(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_1164,c_1170]) ).
tcf(c_195637,plain,
! [X0: $i] :
( v2_membered(k3_tarski(X0))
| v1_finset_1(sK233(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_1166,c_1170]) ).
tcf(c_195638,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| v1_finset_1(sK234(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_1168,c_1170]) ).
tcf(c_195639,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| v1_finset_1(sK236(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_1175,c_1170]) ).
tcf(c_195640,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(sK240(X0,X1))
| r1_xboole_0(k3_tarski(X0),X1)
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_1187,c_1170]) ).
tcf(c_195641,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(sK241(X0,X1))
| r1_tarski(k3_tarski(X0),X1)
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_1192,c_1170]) ).
tcf(c_195642,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK254(X0))
| ~ v5_membered(X0)
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_1267,c_1170]) ).
tcf(c_195643,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_finset_1(sK255(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_1269,c_1170]) ).
tcf(c_195644,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK312(X0))
| ~ v1_membered(X0)
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_1715,c_1170]) ).
tcf(c_195645,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_finset_1(sK313(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_1717,c_1170]) ).
tcf(c_195646,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_2045,c_1170]) ).
tcf(c_195647,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ~ v1_finset_1(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_2046,c_1170]) ).
tcf(c_195648,plain,
! [X0: $i] :
( v1_finset_1(k1_card_1(X0))
| ~ v1_finset_1(k3_tarski(k1_card_1(k1_zfmisc_1(X0)))) ),
inference(superposition,[status(thm)],[c_2056,c_1170]) ).
tcf(c_195649,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK364(X0))
| ~ v4_membered(X0)
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_2111,c_1170]) ).
tcf(c_195650,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_finset_1(sK365(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_2114,c_1170]) ).
tcf(c_195651,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK371(X0))
| ~ v2_membered(X0)
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_2245,c_1170]) ).
tcf(c_195652,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_finset_1(sK372(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_2248,c_1170]) ).
tcf(c_195653,plain,
! [X0: $i] :
( v3_ordinal1(sK374(X0))
| v1_finset_1(sK374(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_2253,c_1170]) ).
tcf(c_195654,plain,
! [X0: $i] :
( v3_ordinal1(sK376(X0))
| v1_finset_1(sK375(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_2257,c_1170]) ).
tcf(c_195655,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_finset_1(sK377(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_2259,c_1170]) ).
tcf(c_195656,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| v1_finset_1(sK379(X0))
| ~ v3_ordinal1(X0)
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_2271,c_1170]) ).
tcf(c_195657,plain,
! [X0: $i] :
( v5_membered(k3_tarski(X0))
| v1_finset_1(sK381(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_2332,c_1170]) ).
tcf(c_195658,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_xreal_0(X0)
| ~ v1_finset_1(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_2362,c_1170]) ).
tcf(c_195659,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_finset_1(sK484(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_3010,c_1170]) ).
tcf(c_195660,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_finset_1(sK485(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_3011,c_1170]) ).
tcf(c_195662,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_int_1(X0)
| ~ v1_finset_1(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3086,c_1170]) ).
tcf(c_195663,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v3_ordinal1(X0)
| ~ v1_finset_1(k3_tarski(sK503(X0))) ),
inference(superposition,[status(thm)],[c_3180,c_1170]) ).
tcf(c_195664,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| v1_finset_1(sK535(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_3401,c_1170]) ).
tcf(c_195665,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k3_tarski(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_183390,c_1170]) ).
tcf(c_195671,plain,
( v1_finset_1(np__1)
| ~ v1_finset_1(k3_tarski(k2_finseq_1(np__1))) ),
inference(superposition,[status(thm)],[c_168404,c_1170]) ).
tcf(c_195672,plain,
! [X0: $i] :
( v1_finset_1(np__1)
| ~ v1_finset_1(k3_tarski(k2_xboole_0(X0,k2_finseq_1(np__1)))) ),
inference(superposition,[status(thm)],[c_168396,c_1170]) ).
tcf(c_195673,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK87(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_177609,c_1170]) ).
tcf(c_195674,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_finset_1(sK87(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_168917,c_1170]) ).
tcf(c_195675,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_finset_1(sK87(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_168914,c_1170]) ).
tcf(c_195676,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_finset_1(sK87(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_168911,c_1170]) ).
tcf(c_195677,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_finset_1(sK87(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_168910,c_1170]) ).
tcf(c_195678,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_finset_1(sK87(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_168906,c_1170]) ).
tcf(c_195679,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_finset_1(sK87(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_168905,c_1170]) ).
tcf(c_195680,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_finset_1(sK87(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_168899,c_1170]) ).
tcf(c_195681,plain,
( v1_finset_1(sK87(k1_numbers))
| ~ v1_finset_1(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_176188,c_1170]) ).
tcf(c_195682,plain,
( v1_finset_1(sK87(k2_finseq_1(np__1)))
| ~ v1_finset_1(k3_tarski(k2_finseq_1(np__1))) ),
inference(superposition,[status(thm)],[c_168925,c_1170]) ).
tcf(c_195684,plain,
! [X0: $i] :
( v1_finset_1(np__1)
| ~ v1_finset_1(k3_tarski(k2_xboole_0(k2_finseq_1(np__1),X0))) ),
inference(superposition,[status(thm)],[c_169444,c_1170]) ).
tcf(c_195685,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK43(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_175554,c_1170]) ).
tcf(c_195687,plain,
( v1_finset_1(k5_numbers)
| ~ v1_finset_1(k3_tarski(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_175691,c_1170]) ).
tcf(c_195688,plain,
( v1_finset_1(sK314)
| ~ v1_finset_1(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_175686,c_1170]) ).
tcf(c_195689,plain,
! [X0: $i] :
( v1_finset_1(sK87(k1_zfmisc_1(X0)))
| ~ v1_finset_1(k3_tarski(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_176198,c_1170]) ).
tcf(c_195693,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ~ v1_finset_1(k3_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)))) ),
inference(superposition,[status(thm)],[c_183409,c_1170]) ).
tcf(c_195694,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k3_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)))) ),
inference(superposition,[status(thm)],[c_190651,c_1170]) ).
tcf(c_195695,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(X0,X1))
| ~ v1_finset_1(k3_tarski(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_190654,c_1170]) ).
tcf(c_195698,plain,
~ v1_finset_1(k3_tarski(k1_zfmisc_1(k1_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_195687,c_772]) ).
tcf(c_195701,plain,
( v1_finset_1(np__1)
| ~ v1_finset_1(k2_xboole_0(np__1,np__1)) ),
inference(light_normalisation,[status(thm)],[c_195671,c_168375]) ).
tcf(c_195718,plain,
( v1_finset_1(sK87(k2_finseq_1(np__1)))
| ~ v1_finset_1(k2_xboole_0(np__1,np__1)) ),
inference(light_normalisation,[status(thm)],[c_195682,c_168375]) ).
tcf(c_196183,plain,
! [X0: $i] :
( v3_ordinal1(sK235(X0))
| v1_finset_1(k3_tarski(X0))
| ~ v3_ordinal1(X0)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1172,c_2262]) ).
tcf(c_196184,plain,
! [X0: $i] :
( v1_xreal_0(sK235(X0))
| v1_finset_1(k3_tarski(X0))
| ~ v2_membered(X0)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1172,c_2249]) ).
tcf(c_196185,plain,
! [X0: $i] :
( v1_int_1(sK235(X0))
| v1_finset_1(k3_tarski(X0))
| ~ v4_membered(X0)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1172,c_2115]) ).
tcf(c_196186,plain,
! [X0: $i] :
( v1_xcmplx_0(sK235(X0))
| v1_finset_1(k3_tarski(X0))
| ~ v1_membered(X0)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1172,c_1718]) ).
tcf(c_196187,plain,
! [X0: $i] :
( v4_ordinal2(sK235(X0))
| v1_finset_1(k3_tarski(X0))
| ~ v5_membered(X0)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1172,c_1270]) ).
tcf(c_196188,plain,
! [X0: $i] :
( v1_finset_1(k3_tarski(X0))
| ~ v1_finset_1(X0)
| ~ r2_hidden(X0,sK235(X0)) ),
inference(superposition,[status(thm)],[c_1172,c_431]) ).
tcf(c_196189,plain,
! [X0: $i] :
( v1_finset_1(k3_tarski(X0))
| r2_hidden(sK87(X0),X0)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1172,c_427]) ).
tcf(c_196190,plain,
! [X0: $i] :
( v1_finset_1(k3_tarski(X0))
| ~ v1_finset_1(X0)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1172,c_426]) ).
tcf(c_196191,plain,
! [X0: $i] :
( v1_finset_1(k3_tarski(X0))
| m1_subset_1(sK235(X0),X0)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1172,c_421]) ).
tcf(c_196192,plain,
! [X0: $i] :
( v1_finset_1(k3_tarski(k1_zfmisc_1(X0)))
| r1_tarski(sK235(k1_zfmisc_1(X0)),X0)
| ~ v1_finset_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1172,c_126]) ).
tcf(c_196193,plain,
( v1_finset_1(k3_tarski(np__0))
| ~ v1_finset_1(np__0) ),
inference(superposition,[status(thm)],[c_1172,c_655]) ).
tcf(c_196194,plain,
! [X0: $i] :
( v1_finset_1(k3_tarski(k2_tarski(X0,X0)))
| ( sK235(k2_tarski(X0,X0)) = X0 )
| ~ v1_finset_1(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_1172,c_1116]) ).
tcf(c_196195,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k3_tarski(k4_xboole_0(X0,X1)))
| ~ v1_finset_1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK235(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_1172,c_1159]) ).
tcf(c_196196,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k3_tarski(k4_xboole_0(X0,X1)))
| r2_hidden(sK235(k4_xboole_0(X0,X1)),X0)
| ~ v1_finset_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1172,c_1158]) ).
tcf(c_196199,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK235(k1_funct_2(X0,X1)))
| v1_finset_1(k3_tarski(k1_funct_2(X0,X1)))
| ~ v1_finset_1(k1_funct_2(X0,X1)) ),
inference(superposition,[status(thm)],[c_1172,c_3470]) ).
tcf(c_196233,plain,
! [X0: $i] :
( v1_finset_1(X0)
| r1_tarski(sK235(k1_zfmisc_1(X0)),X0)
| ~ v1_finset_1(k1_zfmisc_1(X0)) ),
inference(light_normalisation,[status(thm)],[c_196192,c_1185]) ).
tcf(c_196246,plain,
! [X0: $i] :
( v1_finset_1(k3_tarski(k2_tarski(X0,X0)))
| ( sK235(k2_tarski(X0,X0)) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196194,c_810]) ).
tcf(c_196292,plain,
r2_hidden(k5_numbers,k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_191695,c_190651]) ).
tcf(c_196293,plain,
k4_xboole_0(k5_numbers,k2_numbers) = k4_xboole_0(k2_numbers,k2_numbers),
inference(superposition,[status(thm)],[c_191695,c_528]) ).
tcf(c_196294,plain,
r1_tarski(k2_xboole_0(k1_zfmisc_1(k5_numbers),k1_zfmisc_1(k2_numbers)),k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_191695,c_507]) ).
tcf(c_196297,plain,
r1_tarski(k2_xboole_0(k5_finsub_1(k5_numbers),k5_finsub_1(k2_numbers)),k5_finsub_1(k2_numbers)),
inference(superposition,[status(thm)],[c_191695,c_492]) ).
tcf(c_196298,plain,
! [X0: $i] :
( r1_tarski(k5_numbers,X0)
| ~ r1_tarski(k2_numbers,X0) ),
inference(superposition,[status(thm)],[c_191695,c_536]) ).
tcf(c_196299,plain,
r1_tarski(k2_zfmisc_1(k5_numbers,k2_numbers),k1_zfmisc_1(k1_zfmisc_1(k2_numbers))),
inference(superposition,[status(thm)],[c_191695,c_505]) ).
tcf(c_196300,plain,
~ r2_hidden(k2_numbers,k2_numbers),
inference(superposition,[status(thm)],[c_191695,c_169259]) ).
tcf(c_196308,plain,
! [X0: $i] :
( ( np__0 = k5_numbers )
| ( k2_tarski(X0,X0) = k5_numbers )
| ( k2_tarski(X0,X0) != k2_numbers ) ),
inference(superposition,[status(thm)],[c_191695,c_512]) ).
tcf(c_196309,plain,
! [X0: $i] :
( ( k5_numbers = k2_numbers )
| ( np__0 = k2_numbers )
| ( np__0 = k5_numbers )
| ( k2_tarski(X0,X0) != k2_numbers ) ),
inference(superposition,[status(thm)],[c_191695,c_511]) ).
tcf(c_196311,plain,
! [X0: $i] :
( r1_xboole_0(X0,k5_numbers)
| ~ r1_xboole_0(X0,k2_numbers) ),
inference(superposition,[status(thm)],[c_191695,c_717]) ).
tcf(c_196312,plain,
! [X0: $i] :
( r2_hidden(X0,k2_numbers)
| ~ r2_hidden(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_191695,c_550]) ).
tcf(c_196313,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k2_tarski(k5_numbers,X0)),k2_numbers),
inference(superposition,[status(thm)],[c_191695,c_49625]) ).
tcf(c_196316,plain,
m1_subset_1(k2_numbers,k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_191695,c_190663]) ).
tcf(c_196317,plain,
r2_hidden(k2_numbers,k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_191695,c_183409]) ).
tcf(c_196318,plain,
r1_tarski(k2_numbers,k2_numbers),
inference(superposition,[status(thm)],[c_191695,c_169158]) ).
tcf(c_196325,plain,
k4_xboole_0(k2_numbers,k2_numbers) = np__0,
inference(light_normalisation,[status(thm)],[c_196293,c_194837]) ).
tcf(c_196329,plain,
! [X0: $i] :
( ( np__0 = k2_numbers )
| ( np__0 = k5_numbers )
| ( k2_tarski(X0,X0) != k2_numbers ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196309,c_3064]) ).
tcf(c_196373,plain,
( v1_finset_1(k5_numbers)
| ~ v1_finset_1(k3_tarski(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_196292,c_1170]) ).
tcf(c_196374,plain,
( v3_ordinal1(k5_numbers)
| ~ v3_ordinal1(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196292,c_2262]) ).
tcf(c_196375,plain,
( v1_xreal_0(k5_numbers)
| ~ v2_membered(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196292,c_2249]) ).
tcf(c_196376,plain,
( v1_int_1(k5_numbers)
| ~ v4_membered(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196292,c_2115]) ).
tcf(c_196378,plain,
( v4_ordinal2(k5_numbers)
| ~ v5_membered(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196292,c_1270]) ).
tcf(c_196379,plain,
~ r2_hidden(k1_zfmisc_1(k2_numbers),k5_numbers),
inference(superposition,[status(thm)],[c_196292,c_431]) ).
tcf(c_196380,plain,
r2_hidden(sK87(k1_zfmisc_1(k2_numbers)),k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_196292,c_427]) ).
tcf(c_196381,plain,
~ v1_xboole_0(k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_196292,c_426]) ).
tcf(c_196382,plain,
m1_subset_1(k5_numbers,k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_196292,c_421]) ).
tcf(c_196392,plain,
~ v1_finset_1(k3_tarski(k1_zfmisc_1(k2_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_196373,c_772]) ).
tcf(c_196396,plain,
( v1_xcmplx_0(k5_numbers)
| ~ v2_membered(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196382,c_1721]) ).
tcf(c_196397,plain,
( v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196382,c_425]) ).
tcf(c_196432,plain,
r2_hidden(k4_numbers,k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_191696,c_190651]) ).
tcf(c_196433,plain,
k4_xboole_0(k2_numbers,k2_numbers) = k4_xboole_0(k4_numbers,k2_numbers),
inference(superposition,[status(thm)],[c_191696,c_528]) ).
tcf(c_196434,plain,
r1_tarski(k2_xboole_0(k1_zfmisc_1(k4_numbers),k1_zfmisc_1(k2_numbers)),k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_191696,c_507]) ).
tcf(c_196437,plain,
r1_tarski(k2_xboole_0(k5_finsub_1(k4_numbers),k5_finsub_1(k2_numbers)),k5_finsub_1(k2_numbers)),
inference(superposition,[status(thm)],[c_191696,c_492]) ).
tcf(c_196438,plain,
! [X0: $i] :
( r1_tarski(k4_numbers,X0)
| ~ r1_tarski(k2_numbers,X0) ),
inference(superposition,[status(thm)],[c_191696,c_536]) ).
tcf(c_196439,plain,
r1_tarski(k2_zfmisc_1(k4_numbers,k2_numbers),k1_zfmisc_1(k1_zfmisc_1(k2_numbers))),
inference(superposition,[status(thm)],[c_191696,c_505]) ).
tcf(c_196448,plain,
! [X0: $i] :
( ( np__0 = k4_numbers )
| ( k2_tarski(X0,X0) = k4_numbers )
| ( k2_tarski(X0,X0) != k2_numbers ) ),
inference(superposition,[status(thm)],[c_191696,c_512]) ).
tcf(c_196449,plain,
! [X0: $i] :
( ( k2_numbers = k4_numbers )
| ( np__0 = k4_numbers )
| ( np__0 = k2_numbers )
| ( k2_tarski(X0,X0) != k2_numbers ) ),
inference(superposition,[status(thm)],[c_191696,c_511]) ).
tcf(c_196451,plain,
! [X0: $i] :
( r1_xboole_0(X0,k4_numbers)
| ~ r1_xboole_0(X0,k2_numbers) ),
inference(superposition,[status(thm)],[c_191696,c_717]) ).
tcf(c_196452,plain,
! [X0: $i] :
( r2_hidden(X0,k2_numbers)
| ~ r2_hidden(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_191696,c_550]) ).
tcf(c_196453,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k2_tarski(k4_numbers,X0)),k2_numbers),
inference(superposition,[status(thm)],[c_191696,c_49625]) ).
tcf(c_196470,plain,
! [X0: $i] :
( ( np__0 = k4_numbers )
| ( np__0 = k2_numbers )
| ( k2_tarski(X0,X0) != k2_numbers ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196449,c_3065]) ).
tcf(c_196509,plain,
( v1_finset_1(k4_numbers)
| ~ v1_finset_1(k3_tarski(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_196432,c_1170]) ).
tcf(c_196510,plain,
( v3_ordinal1(k4_numbers)
| ~ v3_ordinal1(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196432,c_2262]) ).
tcf(c_196511,plain,
( v1_xreal_0(k4_numbers)
| ~ v2_membered(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196432,c_2249]) ).
tcf(c_196512,plain,
( v1_int_1(k4_numbers)
| ~ v4_membered(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196432,c_2115]) ).
tcf(c_196514,plain,
( v4_ordinal2(k4_numbers)
| ~ v5_membered(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196432,c_1270]) ).
tcf(c_196515,plain,
~ r2_hidden(k1_zfmisc_1(k2_numbers),k4_numbers),
inference(superposition,[status(thm)],[c_196432,c_431]) ).
tcf(c_196518,plain,
m1_subset_1(k4_numbers,k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_196432,c_421]) ).
tcf(c_196522,plain,
~ v4_membered(k1_zfmisc_1(k2_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_196512,c_168848]) ).
tcf(c_196560,plain,
( v1_xcmplx_0(k4_numbers)
| ~ v2_membered(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196518,c_1721]) ).
tcf(c_196561,plain,
( v1_xboole_0(k4_numbers)
| ~ v1_xboole_0(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196518,c_425]) ).
tcf(c_196566,plain,
~ v1_int_1(k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_3086,c_196515]) ).
tcf(c_196567,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_193831,c_78840,c_193831]) ).
tcf(c_196574,plain,
! [X0: $i] :
( r1_tarski(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_196567,c_100]) ).
tcf(c_196575,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_196567,c_1723]) ).
tcf(c_196576,plain,
! [X0: $i] :
( v1_xreal_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_196567,c_1722]) ).
tcf(c_196577,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_196567,c_1721]) ).
tcf(c_196578,plain,
! [X0: $i] :
( v1_xboole_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_196567,c_425]) ).
tcf(c_196579,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_196567,c_423]) ).
tcf(c_196580,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_196567,c_78786]) ).
tcf(c_196592,plain,
! [X0: $i] :
( r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196579,c_121]) ).
tcf(c_196637,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(X0),X1)
| ~ v1_xboole_0(sK240(X0,X1)) ),
inference(superposition,[status(thm)],[c_169608,c_1186]) ).
tcf(c_196638,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k3_tarski(X0),k4_xboole_0(X1,X2))
| ~ r1_tarski(sK240(X0,k4_xboole_0(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_700,c_1186]) ).
tcf(c_196639,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k3_tarski(X0),k4_xboole_0(X1,X2))
| ~ r1_xboole_0(sK240(X0,k4_xboole_0(X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_706,c_1186]) ).
tcf(c_196640,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(X1),X0)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_169637,c_1186]) ).
tcf(c_196641,plain,
! [X0: $i] : r1_xboole_0(k3_tarski(X0),np__0),
inference(superposition,[status(thm)],[c_724,c_1186]) ).
tcf(c_196657,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),X1)
| ~ v1_xboole_0(sK241(X0,X1)) ),
inference(superposition,[status(thm)],[c_168873,c_1191]) ).
tcf(c_196658,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(X0),k2_xboole_0(X1,X2))
| ~ r1_tarski(sK241(X0,k2_xboole_0(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_537,c_1191]) ).
tcf(c_196659,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),k3_tarski(X1))
| ~ r2_hidden(sK241(X0,k3_tarski(X1)),X1) ),
inference(superposition,[status(thm)],[c_1193,c_1191]) ).
tcf(c_196660,plain,
! [X0: $i] :
( r1_tarski(k3_tarski(X0),k4_numbers)
| ~ v4_membered(sK241(X0,k4_numbers)) ),
inference(superposition,[status(thm)],[c_2112,c_1191]) ).
tcf(c_196661,plain,
! [X0: $i] :
( r1_tarski(k3_tarski(X0),k3_numbers)
| ~ v3_membered(sK241(X0,k3_numbers)) ),
inference(superposition,[status(thm)],[c_2216,c_1191]) ).
tcf(c_196662,plain,
! [X0: $i] :
( r1_tarski(k3_tarski(X0),k1_numbers)
| ~ v2_membered(sK241(X0,k1_numbers)) ),
inference(superposition,[status(thm)],[c_2246,c_1191]) ).
tcf(c_196663,plain,
! [X0: $i] :
( r1_tarski(k3_tarski(X0),k5_numbers)
| ~ v5_membered(sK241(X0,k5_numbers)) ),
inference(superposition,[status(thm)],[c_2334,c_1191]) ).
tcf(c_196664,plain,
! [X0: $i] :
( r1_tarski(k3_tarski(X0),k2_numbers)
| ~ v1_membered(sK241(X0,k2_numbers)) ),
inference(superposition,[status(thm)],[c_3060,c_1191]) ).
tcf(c_196702,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ~ r2_hidden(X1,k3_tarski(X0))
| ~ v1_finset_1(k3_tarski(sK244(X0,X1))) ),
inference(superposition,[status(thm)],[c_1201,c_1170]) ).
tcf(c_196703,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(X0)
| ~ v3_ordinal1(sK244(X1,X0))
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1201,c_2262]) ).
tcf(c_196704,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(sK244(X1,X0))
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1201,c_2249]) ).
tcf(c_196705,plain,
! [X0: $i,X1: $i] :
( v1_int_1(X0)
| ~ v4_membered(sK244(X1,X0))
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1201,c_2115]) ).
tcf(c_196706,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(sK244(X1,X0))
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1201,c_1718]) ).
tcf(c_196707,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(sK244(X1,X0))
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1201,c_1270]) ).
tcf(c_196708,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,k3_tarski(X0))
| ~ r2_hidden(sK244(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_1201,c_431]) ).
tcf(c_196709,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK87(sK244(X1,X0)),sK244(X1,X0))
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1201,c_427]) ).
tcf(c_196710,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(sK244(X1,X0))
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1201,c_426]) ).
tcf(c_196711,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,sK244(X1,X0))
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1201,c_421]) ).
tcf(c_196712,plain,
! [X0: $i] :
( ( k1_setfam_1(sK244(X0,np__0)) = np__0 )
| ~ r2_hidden(np__0,k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_1201,c_3410]) ).
tcf(c_196800,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(sK244(X1,X0))
| ~ v1_finset_1(k3_tarski(X1))
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1202,c_1170]) ).
tcf(c_196801,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(sK244(X1,X0))
| ~ v3_ordinal1(X1)
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1202,c_2262]) ).
tcf(c_196802,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(sK244(X1,X0))
| ~ v2_membered(X1)
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1202,c_2249]) ).
tcf(c_196803,plain,
! [X0: $i,X1: $i] :
( v1_int_1(sK244(X1,X0))
| ~ v4_membered(X1)
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1202,c_2115]) ).
tcf(c_196804,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(sK244(X1,X0))
| ~ v1_membered(X1)
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1202,c_1718]) ).
tcf(c_196805,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(sK244(X1,X0))
| ~ v5_membered(X1)
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1202,c_1270]) ).
tcf(c_196806,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,k3_tarski(X0))
| ~ r2_hidden(X0,sK244(X0,X1)) ),
inference(superposition,[status(thm)],[c_1202,c_431]) ).
tcf(c_196807,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK87(X1),X1)
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1202,c_427]) ).
tcf(c_196808,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1202,c_426]) ).
tcf(c_196809,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK244(X1,X0),X1)
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_1202,c_421]) ).
tcf(c_196810,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK244(k1_zfmisc_1(X1),X0),X1)
| ~ r2_hidden(X0,k3_tarski(k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_1202,c_126]) ).
tcf(c_196811,plain,
! [X0: $i] : ~ r2_hidden(X0,k3_tarski(np__0)),
inference(superposition,[status(thm)],[c_1202,c_655]) ).
tcf(c_196812,plain,
! [X0: $i,X1: $i] :
( ( sK244(k2_tarski(X1,X1),X0) = X1 )
| ~ r2_hidden(X0,k3_tarski(k2_tarski(X1,X1))) ),
inference(superposition,[status(thm)],[c_1202,c_1116]) ).
tcf(c_196813,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X2,k3_tarski(k4_xboole_0(X0,X1)))
| ~ r2_hidden(sK244(k4_xboole_0(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_1202,c_1159]) ).
tcf(c_196814,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK244(k4_xboole_0(X1,X2),X0),X1)
| ~ r2_hidden(X0,k3_tarski(k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_1202,c_1158]) ).
tcf(c_196815,plain,
! [X0: $i] :
( v1_xreal_0(sK244(k1_numbers,X0))
| ~ r2_hidden(X0,k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1202,c_2361]) ).
tcf(c_196816,plain,
! [X0: $i] :
( v1_int_1(sK244(k4_numbers,X0))
| ~ r2_hidden(X0,k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1202,c_3085]) ).
tcf(c_196817,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(sK244(k1_funct_2(X1,X2),X0))
| ~ r2_hidden(X0,k3_tarski(k1_funct_2(X1,X2))) ),
inference(superposition,[status(thm)],[c_1202,c_3470]) ).
tcf(c_196876,plain,
r2_hidden(k3_numbers,k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_191697,c_190651]) ).
tcf(c_196877,plain,
k4_xboole_0(k2_numbers,k2_numbers) = k4_xboole_0(k3_numbers,k2_numbers),
inference(superposition,[status(thm)],[c_191697,c_528]) ).
tcf(c_196878,plain,
r1_tarski(k2_xboole_0(k1_zfmisc_1(k3_numbers),k1_zfmisc_1(k2_numbers)),k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_191697,c_507]) ).
tcf(c_196881,plain,
r1_tarski(k2_xboole_0(k5_finsub_1(k3_numbers),k5_finsub_1(k2_numbers)),k5_finsub_1(k2_numbers)),
inference(superposition,[status(thm)],[c_191697,c_492]) ).
tcf(c_196882,plain,
! [X0: $i] :
( r1_tarski(k3_numbers,X0)
| ~ r1_tarski(k2_numbers,X0) ),
inference(superposition,[status(thm)],[c_191697,c_536]) ).
tcf(c_196883,plain,
r1_tarski(k2_zfmisc_1(k3_numbers,k2_numbers),k1_zfmisc_1(k1_zfmisc_1(k2_numbers))),
inference(superposition,[status(thm)],[c_191697,c_505]) ).
tcf(c_196892,plain,
! [X0: $i] :
( ( np__0 = k3_numbers )
| ( k2_tarski(X0,X0) = k3_numbers )
| ( k2_tarski(X0,X0) != k2_numbers ) ),
inference(superposition,[status(thm)],[c_191697,c_512]) ).
tcf(c_196893,plain,
! [X0: $i] :
( ( k2_numbers = k3_numbers )
| ( np__0 = k3_numbers )
| ( np__0 = k2_numbers )
| ( k2_tarski(X0,X0) != k2_numbers ) ),
inference(superposition,[status(thm)],[c_191697,c_511]) ).
tcf(c_196895,plain,
! [X0: $i] :
( r1_xboole_0(X0,k3_numbers)
| ~ r1_xboole_0(X0,k2_numbers) ),
inference(superposition,[status(thm)],[c_191697,c_717]) ).
tcf(c_196896,plain,
! [X0: $i] :
( r2_hidden(X0,k2_numbers)
| ~ r2_hidden(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_191697,c_550]) ).
tcf(c_196897,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k2_tarski(k3_numbers,X0)),k2_numbers),
inference(superposition,[status(thm)],[c_191697,c_49625]) ).
tcf(c_196913,plain,
! [X0: $i] :
( ( np__0 = k3_numbers )
| ( np__0 = k2_numbers )
| ( k2_tarski(X0,X0) != k2_numbers ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196893,c_3066]) ).
tcf(c_196927,plain,
( v1_finset_1(k3_numbers)
| ~ v1_finset_1(k3_tarski(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_196876,c_1170]) ).
tcf(c_196928,plain,
( v3_ordinal1(k3_numbers)
| ~ v3_ordinal1(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196876,c_2262]) ).
tcf(c_196929,plain,
( v1_xreal_0(k3_numbers)
| ~ v2_membered(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196876,c_2249]) ).
tcf(c_196932,plain,
( v4_ordinal2(k3_numbers)
| ~ v5_membered(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196876,c_1270]) ).
tcf(c_196933,plain,
~ r2_hidden(k1_zfmisc_1(k2_numbers),k3_numbers),
inference(superposition,[status(thm)],[c_196876,c_431]) ).
tcf(c_196936,plain,
m1_subset_1(k3_numbers,k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_196876,c_421]) ).
tcf(c_196962,plain,
( v1_xcmplx_0(k3_numbers)
| ~ v2_membered(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196936,c_1721]) ).
tcf(c_196963,plain,
( v1_xboole_0(k3_numbers)
| ~ v1_xboole_0(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196936,c_425]) ).
tcf(c_196968,plain,
r2_hidden(k1_numbers,k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_191698,c_190651]) ).
tcf(c_196969,plain,
k4_xboole_0(k1_numbers,k2_numbers) = k4_xboole_0(k2_numbers,k2_numbers),
inference(superposition,[status(thm)],[c_191698,c_528]) ).
tcf(c_196970,plain,
r1_tarski(k2_xboole_0(k1_zfmisc_1(k1_numbers),k1_zfmisc_1(k2_numbers)),k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_191698,c_507]) ).
tcf(c_196973,plain,
r1_tarski(k2_xboole_0(k5_finsub_1(k1_numbers),k5_finsub_1(k2_numbers)),k5_finsub_1(k2_numbers)),
inference(superposition,[status(thm)],[c_191698,c_492]) ).
tcf(c_196974,plain,
! [X0: $i] :
( r1_tarski(k1_numbers,X0)
| ~ r1_tarski(k2_numbers,X0) ),
inference(superposition,[status(thm)],[c_191698,c_536]) ).
tcf(c_196975,plain,
r1_tarski(k2_zfmisc_1(k1_numbers,k2_numbers),k1_zfmisc_1(k1_zfmisc_1(k2_numbers))),
inference(superposition,[status(thm)],[c_191698,c_505]) ).
tcf(c_196984,plain,
! [X0: $i] :
( ( np__0 = k1_numbers )
| ( k2_tarski(X0,X0) = k1_numbers )
| ( k2_tarski(X0,X0) != k2_numbers ) ),
inference(superposition,[status(thm)],[c_191698,c_512]) ).
tcf(c_196985,plain,
! [X0: $i] :
( ( k1_numbers = k2_numbers )
| ( np__0 = k2_numbers )
| ( np__0 = k1_numbers )
| ( k2_tarski(X0,X0) != k2_numbers ) ),
inference(superposition,[status(thm)],[c_191698,c_511]) ).
tcf(c_196987,plain,
! [X0: $i] :
( r1_xboole_0(X0,k1_numbers)
| ~ r1_xboole_0(X0,k2_numbers) ),
inference(superposition,[status(thm)],[c_191698,c_717]) ).
tcf(c_196988,plain,
! [X0: $i] :
( r2_hidden(X0,k2_numbers)
| ~ r2_hidden(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_191698,c_550]) ).
tcf(c_196989,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k2_tarski(k1_numbers,X0)),k2_numbers),
inference(superposition,[status(thm)],[c_191698,c_49625]) ).
tcf(c_197006,plain,
! [X0: $i] :
( ( np__0 = k2_numbers )
| ( np__0 = k1_numbers )
| ( k2_tarski(X0,X0) != k2_numbers ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196985,c_3067]) ).
tcf(c_197016,plain,
( v1_finset_1(k1_numbers)
| ~ v1_finset_1(k3_tarski(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_196968,c_1170]) ).
tcf(c_197017,plain,
( v3_ordinal1(k1_numbers)
| ~ v3_ordinal1(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196968,c_2262]) ).
tcf(c_197018,plain,
( v1_xreal_0(k1_numbers)
| ~ v2_membered(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196968,c_2249]) ).
tcf(c_197021,plain,
( v4_ordinal2(k1_numbers)
| ~ v5_membered(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_196968,c_1270]) ).
tcf(c_197022,plain,
~ r2_hidden(k1_zfmisc_1(k2_numbers),k1_numbers),
inference(superposition,[status(thm)],[c_196968,c_431]) ).
tcf(c_197025,plain,
m1_subset_1(k1_numbers,k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_196968,c_421]) ).
tcf(c_197029,plain,
~ v2_membered(k1_zfmisc_1(k2_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_197018,c_168847]) ).
tcf(c_197037,plain,
( v1_xboole_0(k1_numbers)
| ~ v1_xboole_0(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_197025,c_425]) ).
tcf(c_197040,plain,
~ v1_xreal_0(k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_2362,c_197022]) ).
tcf(c_197041,plain,
r2_hidden(k5_numbers,k1_zfmisc_1(k4_numbers)),
inference(superposition,[status(thm)],[c_191699,c_190651]) ).
tcf(c_197042,plain,
k4_xboole_0(k5_numbers,k4_numbers) = k4_xboole_0(k4_numbers,k4_numbers),
inference(superposition,[status(thm)],[c_191699,c_528]) ).
tcf(c_197043,plain,
r1_tarski(k2_xboole_0(k1_zfmisc_1(k5_numbers),k1_zfmisc_1(k4_numbers)),k1_zfmisc_1(k4_numbers)),
inference(superposition,[status(thm)],[c_191699,c_507]) ).
tcf(c_197046,plain,
r1_tarski(k2_xboole_0(k5_finsub_1(k5_numbers),k5_finsub_1(k4_numbers)),k5_finsub_1(k4_numbers)),
inference(superposition,[status(thm)],[c_191699,c_492]) ).
tcf(c_197047,plain,
! [X0: $i] :
( r1_tarski(k5_numbers,X0)
| ~ r1_tarski(k4_numbers,X0) ),
inference(superposition,[status(thm)],[c_191699,c_536]) ).
tcf(c_197048,plain,
r1_tarski(k2_zfmisc_1(k5_numbers,k4_numbers),k1_zfmisc_1(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_191699,c_505]) ).
tcf(c_197049,plain,
~ r2_hidden(k4_numbers,k4_numbers),
inference(superposition,[status(thm)],[c_191699,c_169259]) ).
tcf(c_197057,plain,
! [X0: $i] :
( ( np__0 = k5_numbers )
| ( k2_tarski(X0,X0) = k5_numbers )
| ( k2_tarski(X0,X0) != k4_numbers ) ),
inference(superposition,[status(thm)],[c_191699,c_512]) ).
tcf(c_197058,plain,
! [X0: $i] :
( ( k5_numbers = k4_numbers )
| ( np__0 = k4_numbers )
| ( np__0 = k5_numbers )
| ( k2_tarski(X0,X0) != k4_numbers ) ),
inference(superposition,[status(thm)],[c_191699,c_511]) ).
tcf(c_197060,plain,
! [X0: $i] :
( r1_xboole_0(X0,k5_numbers)
| ~ r1_xboole_0(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_191699,c_717]) ).
tcf(c_197061,plain,
! [X0: $i] :
( r2_hidden(X0,k4_numbers)
| ~ r2_hidden(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_191699,c_550]) ).
tcf(c_197062,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k2_tarski(k5_numbers,X0)),k4_numbers),
inference(superposition,[status(thm)],[c_191699,c_49625]) ).
tcf(c_197065,plain,
m1_subset_1(k4_numbers,k1_zfmisc_1(k4_numbers)),
inference(superposition,[status(thm)],[c_191699,c_190663]) ).
tcf(c_197066,plain,
r2_hidden(k4_numbers,k1_zfmisc_1(k4_numbers)),
inference(superposition,[status(thm)],[c_191699,c_183409]) ).
tcf(c_197067,plain,
r1_tarski(k4_numbers,k4_numbers),
inference(superposition,[status(thm)],[c_191699,c_169158]) ).
tcf(c_197075,plain,
k4_xboole_0(k4_numbers,k4_numbers) = np__0,
inference(light_normalisation,[status(thm)],[c_197042,c_194841]) ).
tcf(c_197079,plain,
! [X0: $i] :
( ( np__0 = k4_numbers )
| ( np__0 = k5_numbers )
| ( k2_tarski(X0,X0) != k4_numbers ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197058,c_3088]) ).
tcf(c_197106,plain,
( v1_finset_1(k5_numbers)
| ~ v1_finset_1(k3_tarski(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_197041,c_1170]) ).
tcf(c_197107,plain,
( v3_ordinal1(k5_numbers)
| ~ v3_ordinal1(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_197041,c_2262]) ).
tcf(c_197108,plain,
( v1_xreal_0(k5_numbers)
| ~ v2_membered(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_197041,c_2249]) ).
tcf(c_197110,plain,
( v1_xcmplx_0(k5_numbers)
| ~ v1_membered(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_197041,c_1718]) ).
tcf(c_197111,plain,
( v4_ordinal2(k5_numbers)
| ~ v5_membered(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_197041,c_1270]) ).
tcf(c_197112,plain,
~ r2_hidden(k1_zfmisc_1(k4_numbers),k5_numbers),
inference(superposition,[status(thm)],[c_197041,c_431]) ).
tcf(c_197113,plain,
r2_hidden(sK87(k1_zfmisc_1(k4_numbers)),k1_zfmisc_1(k4_numbers)),
inference(superposition,[status(thm)],[c_197041,c_427]) ).
tcf(c_197114,plain,
~ v1_xboole_0(k1_zfmisc_1(k4_numbers)),
inference(superposition,[status(thm)],[c_197041,c_426]) ).
tcf(c_197115,plain,
m1_subset_1(k5_numbers,k1_zfmisc_1(k4_numbers)),
inference(superposition,[status(thm)],[c_197041,c_421]) ).
tcf(c_197125,plain,
~ v1_finset_1(k3_tarski(k1_zfmisc_1(k4_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_197106,c_772]) ).
tcf(c_197264,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_194476,c_78840,c_194476]) ).
tcf(c_197271,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_197264,c_100]) ).
tcf(c_197272,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_197264,c_1723]) ).
tcf(c_197273,plain,
! [X0: $i] :
( v1_xreal_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_197264,c_1722]) ).
tcf(c_197274,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_197264,c_1721]) ).
tcf(c_197275,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_197264,c_425]) ).
tcf(c_197276,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_197264,c_423]) ).
tcf(c_197277,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_197264,c_78786]) ).
tcf(c_197289,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197276,c_121]) ).
tcf(c_197354,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_finseq_1(sK249(X0,X1))
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_1235,c_2066]) ).
tcf(c_197355,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_funct_1(sK249(X0,X1))
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_1235,c_2065]) ).
tcf(c_197368,plain,
! [X0: $i] :
( v1_xreal_0(sK253(X0))
| ( X0 = k5_numbers )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1265,c_1287]) ).
tcf(c_197369,plain,
! [X0: $i] :
( v1_int_1(sK253(X0))
| ( X0 = k5_numbers )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1265,c_1286]) ).
tcf(c_197386,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X1,X0))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2041,c_1276]) ).
tcf(c_197399,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X1,X0))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2041,c_1277]) ).
tcf(c_197408,plain,
( v1_xcmplx_0(k5_numbers)
| ~ v2_membered(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_197115,c_1721]) ).
tcf(c_197409,plain,
( v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_197115,c_425]) ).
tcf(c_197418,plain,
r2_hidden(k4_numbers,k1_zfmisc_1(k3_numbers)),
inference(superposition,[status(thm)],[c_191701,c_190651]) ).
tcf(c_197419,plain,
k4_xboole_0(k4_numbers,k3_numbers) = k4_xboole_0(k3_numbers,k3_numbers),
inference(superposition,[status(thm)],[c_191701,c_528]) ).
tcf(c_197420,plain,
r1_tarski(k2_xboole_0(k1_zfmisc_1(k4_numbers),k1_zfmisc_1(k3_numbers)),k1_zfmisc_1(k3_numbers)),
inference(superposition,[status(thm)],[c_191701,c_507]) ).
tcf(c_197423,plain,
r1_tarski(k2_xboole_0(k5_finsub_1(k4_numbers),k5_finsub_1(k3_numbers)),k5_finsub_1(k3_numbers)),
inference(superposition,[status(thm)],[c_191701,c_492]) ).
tcf(c_197424,plain,
! [X0: $i] :
( r1_tarski(k4_numbers,X0)
| ~ r1_tarski(k3_numbers,X0) ),
inference(superposition,[status(thm)],[c_191701,c_536]) ).
tcf(c_197425,plain,
r1_tarski(k2_zfmisc_1(k4_numbers,k3_numbers),k1_zfmisc_1(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_191701,c_505]) ).
tcf(c_197426,plain,
~ r2_hidden(k3_numbers,k3_numbers),
inference(superposition,[status(thm)],[c_191701,c_169259]) ).
tcf(c_197434,plain,
! [X0: $i] :
( ( np__0 = k4_numbers )
| ( k2_tarski(X0,X0) = k4_numbers )
| ( k2_tarski(X0,X0) != k3_numbers ) ),
inference(superposition,[status(thm)],[c_191701,c_512]) ).
tcf(c_197435,plain,
! [X0: $i] :
( ( k4_numbers = k3_numbers )
| ( np__0 = k3_numbers )
| ( np__0 = k4_numbers )
| ( k2_tarski(X0,X0) != k3_numbers ) ),
inference(superposition,[status(thm)],[c_191701,c_511]) ).
tcf(c_197437,plain,
! [X0: $i] :
( r1_xboole_0(X0,k4_numbers)
| ~ r1_xboole_0(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_191701,c_717]) ).
tcf(c_197438,plain,
! [X0: $i] :
( r2_hidden(X0,k3_numbers)
| ~ r2_hidden(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_191701,c_550]) ).
tcf(c_197439,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k2_tarski(k4_numbers,X0)),k3_numbers),
inference(superposition,[status(thm)],[c_191701,c_49625]) ).
tcf(c_197442,plain,
m1_subset_1(k3_numbers,k1_zfmisc_1(k3_numbers)),
inference(superposition,[status(thm)],[c_191701,c_190663]) ).
tcf(c_197443,plain,
r2_hidden(k3_numbers,k1_zfmisc_1(k3_numbers)),
inference(superposition,[status(thm)],[c_191701,c_183409]) ).
tcf(c_197444,plain,
r1_tarski(k3_numbers,k3_numbers),
inference(superposition,[status(thm)],[c_191701,c_169158]) ).
tcf(c_197452,plain,
k4_xboole_0(k3_numbers,k3_numbers) = np__0,
inference(light_normalisation,[status(thm)],[c_197419,c_194843]) ).
tcf(c_197456,plain,
! [X0: $i] :
( ( np__0 = k3_numbers )
| ( np__0 = k4_numbers )
| ( k2_tarski(X0,X0) != k3_numbers ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197435,c_3090]) ).
tcf(c_197466,plain,
( v1_finset_1(k4_numbers)
| ~ v1_finset_1(k3_tarski(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_197418,c_1170]) ).
tcf(c_197467,plain,
( v3_ordinal1(k4_numbers)
| ~ v3_ordinal1(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_197418,c_2262]) ).
tcf(c_197468,plain,
( v1_xreal_0(k4_numbers)
| ~ v2_membered(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_197418,c_2249]) ).
tcf(c_197469,plain,
( v1_int_1(k4_numbers)
| ~ v4_membered(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_197418,c_2115]) ).
tcf(c_197470,plain,
( v1_xcmplx_0(k4_numbers)
| ~ v1_membered(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_197418,c_1718]) ).
tcf(c_197471,plain,
( v4_ordinal2(k4_numbers)
| ~ v5_membered(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_197418,c_1270]) ).
tcf(c_197472,plain,
~ r2_hidden(k1_zfmisc_1(k3_numbers),k4_numbers),
inference(superposition,[status(thm)],[c_197418,c_431]) ).
tcf(c_197473,plain,
r2_hidden(sK87(k1_zfmisc_1(k3_numbers)),k1_zfmisc_1(k3_numbers)),
inference(superposition,[status(thm)],[c_197418,c_427]) ).
tcf(c_197474,plain,
~ v1_xboole_0(k1_zfmisc_1(k3_numbers)),
inference(superposition,[status(thm)],[c_197418,c_426]) ).
tcf(c_197475,plain,
m1_subset_1(k4_numbers,k1_zfmisc_1(k3_numbers)),
inference(superposition,[status(thm)],[c_197418,c_421]) ).
tcf(c_197481,plain,
~ v4_membered(k1_zfmisc_1(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_197469,c_168848]) ).
tcf(c_197486,plain,
~ v1_finset_1(k3_tarski(k1_zfmisc_1(k3_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_197466,c_177490]) ).
tcf(c_197490,plain,
( v1_xcmplx_0(k4_numbers)
| ~ v2_membered(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_197475,c_1721]) ).
tcf(c_197491,plain,
( v1_xboole_0(k4_numbers)
| ~ v1_xboole_0(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_197475,c_425]) ).
tcf(c_197498,plain,
~ v1_int_1(k1_zfmisc_1(k3_numbers)),
inference(superposition,[status(thm)],[c_3086,c_197472]) ).
tcf(c_197500,plain,
r2_hidden(k5_numbers,k1_zfmisc_1(k3_numbers)),
inference(superposition,[status(thm)],[c_191703,c_190651]) ).
tcf(c_197501,plain,
k4_xboole_0(k5_numbers,k3_numbers) = k4_xboole_0(k3_numbers,k3_numbers),
inference(superposition,[status(thm)],[c_191703,c_528]) ).
tcf(c_197502,plain,
r1_tarski(k2_xboole_0(k1_zfmisc_1(k5_numbers),k1_zfmisc_1(k3_numbers)),k1_zfmisc_1(k3_numbers)),
inference(superposition,[status(thm)],[c_191703,c_507]) ).
tcf(c_197505,plain,
r1_tarski(k2_xboole_0(k5_finsub_1(k5_numbers),k5_finsub_1(k3_numbers)),k5_finsub_1(k3_numbers)),
inference(superposition,[status(thm)],[c_191703,c_492]) ).
tcf(c_197506,plain,
! [X0: $i] :
( r1_tarski(k5_numbers,X0)
| ~ r1_tarski(k3_numbers,X0) ),
inference(superposition,[status(thm)],[c_191703,c_536]) ).
tcf(c_197507,plain,
r1_tarski(k2_zfmisc_1(k5_numbers,k3_numbers),k1_zfmisc_1(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_191703,c_505]) ).
tcf(c_197516,plain,
! [X0: $i] :
( ( np__0 = k5_numbers )
| ( k2_tarski(X0,X0) = k5_numbers )
| ( k2_tarski(X0,X0) != k3_numbers ) ),
inference(superposition,[status(thm)],[c_191703,c_512]) ).
tcf(c_197517,plain,
! [X0: $i] :
( ( k5_numbers = k3_numbers )
| ( np__0 = k3_numbers )
| ( np__0 = k5_numbers )
| ( k2_tarski(X0,X0) != k3_numbers ) ),
inference(superposition,[status(thm)],[c_191703,c_511]) ).
tcf(c_197519,plain,
! [X0: $i] :
( r1_xboole_0(X0,k5_numbers)
| ~ r1_xboole_0(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_191703,c_717]) ).
tcf(c_197520,plain,
! [X0: $i] :
( r2_hidden(X0,k3_numbers)
| ~ r2_hidden(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_191703,c_550]) ).
tcf(c_197521,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k2_tarski(k5_numbers,X0)),k3_numbers),
inference(superposition,[status(thm)],[c_191703,c_49625]) ).
tcf(c_197537,plain,
! [X0: $i] :
( ( np__0 = k3_numbers )
| ( np__0 = k5_numbers )
| ( k2_tarski(X0,X0) != k3_numbers ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197517,c_3143]) ).
tcf(c_197553,plain,
( v1_finset_1(k5_numbers)
| ~ v1_finset_1(k3_tarski(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_197500,c_1170]) ).
tcf(c_197554,plain,
( v3_ordinal1(k5_numbers)
| ~ v3_ordinal1(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_197500,c_2262]) ).
tcf(c_197555,plain,
( v1_xreal_0(k5_numbers)
| ~ v2_membered(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_197500,c_2249]) ).
tcf(c_197557,plain,
( v1_xcmplx_0(k5_numbers)
| ~ v1_membered(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_197500,c_1718]) ).
tcf(c_197558,plain,
( v4_ordinal2(k5_numbers)
| ~ v5_membered(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_197500,c_1270]) ).
tcf(c_197559,plain,
~ r2_hidden(k1_zfmisc_1(k3_numbers),k5_numbers),
inference(superposition,[status(thm)],[c_197500,c_431]) ).
tcf(c_197562,plain,
m1_subset_1(k5_numbers,k1_zfmisc_1(k3_numbers)),
inference(superposition,[status(thm)],[c_197500,c_421]) ).
tcf(c_197668,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_195274,c_78840,c_195274]) ).
tcf(c_197675,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_197668,c_100]) ).
tcf(c_197676,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_197668,c_1723]) ).
tcf(c_197677,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_197668,c_1722]) ).
tcf(c_197678,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_197668,c_1721]) ).
tcf(c_197679,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_197668,c_425]) ).
tcf(c_197680,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_197668,c_423]) ).
tcf(c_197681,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_197668,c_78786]) ).
tcf(c_197693,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197680,c_121]) ).
tcf(c_197713,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X1,X0))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2041,c_1278]) ).
tcf(c_197728,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_tarski(X1,X0))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2041,c_1279]) ).
tcf(c_197744,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_tarski(X1,X0))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2041,c_1280]) ).
tcf(c_197759,plain,
( v2_xreal_0(np__0)
| r2_hidden(np__0,k5_numbers)
| ~ v1_xreal_0(np__0)
| ~ v1_int_1(np__0) ),
inference(superposition,[status(thm)],[c_3289,c_1297]) ).
tcf(c_197760,plain,
! [X0: $i] :
( v3_xreal_0(X0)
| r2_hidden(X0,k5_numbers)
| ~ v1_xreal_0(X0)
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_3352,c_1297]) ).
tcf(c_197765,plain,
( r2_hidden(np__0,k5_numbers)
| ~ v1_int_1(np__0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197759,c_165226,c_165227]) ).
tcf(c_197772,plain,
( v1_xcmplx_0(k5_numbers)
| ~ v2_membered(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_197562,c_1721]) ).
tcf(c_197773,plain,
( v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_197562,c_425]) ).
tcf(c_197781,plain,
k2_xboole_0(k1_numbers,k1_numbers) = k1_numbers,
inference(superposition,[status(thm)],[c_191737,c_541]) ).
tcf(c_197782,plain,
r1_tarski(k2_xboole_0(k1_zfmisc_1(k1_numbers),k1_zfmisc_1(k3_numbers)),k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_191737,c_507]) ).
tcf(c_197785,plain,
r1_tarski(k2_xboole_0(k5_finsub_1(k1_numbers),k5_finsub_1(k3_numbers)),k5_finsub_1(k1_numbers)),
inference(superposition,[status(thm)],[c_191737,c_492]) ).
tcf(c_197787,plain,
r1_tarski(k2_zfmisc_1(k1_numbers,k3_numbers),k1_zfmisc_1(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_191737,c_505]) ).
tcf(c_197794,plain,
! [X0: $i] :
( ( np__0 = k3_numbers )
| ( k2_tarski(X0,X0) = k3_numbers )
| ( k2_tarski(X0,X0) != k1_numbers ) ),
inference(superposition,[status(thm)],[c_191737,c_519]) ).
tcf(c_197797,plain,
! [X0: $i] :
( ( k1_numbers = k3_numbers )
| ( np__0 = k3_numbers )
| ( np__0 = k1_numbers )
| ( k2_tarski(X0,X0) != k1_numbers ) ),
inference(superposition,[status(thm)],[c_191737,c_511]) ).
tcf(c_197798,plain,
! [X0: $i] :
( r1_xboole_0(X0,k3_numbers)
| ~ r1_xboole_0(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_191737,c_718]) ).
tcf(c_197801,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k2_tarski(k1_numbers,X0)),k1_numbers),
inference(superposition,[status(thm)],[c_191737,c_49625]) ).
tcf(c_197802,plain,
! [X0: $i] :
( r2_hidden(X0,k1_numbers)
| ~ r2_hidden(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_191737,c_551]) ).
tcf(c_197803,plain,
! [X0: $i] :
( r1_tarski(X0,k1_numbers)
| ~ r1_tarski(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_191737,c_537]) ).
tcf(c_197804,plain,
m1_subset_1(k3_numbers,k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_191737,c_190663]) ).
tcf(c_197805,plain,
r2_hidden(k3_numbers,k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_191737,c_183409]) ).
tcf(c_197817,plain,
! [X0: $i] :
( ( np__0 = k3_numbers )
| ( np__0 = k1_numbers )
| ( k2_tarski(X0,X0) != k1_numbers ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197797,c_3144]) ).
tcf(c_197827,plain,
( v1_xcmplx_0(k3_numbers)
| ~ v1_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_197804,c_1723]) ).
tcf(c_197830,plain,
( v1_xboole_0(k3_numbers)
| ~ v1_xboole_0(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_197804,c_425]) ).
tcf(c_197836,plain,
( v1_finset_1(k3_numbers)
| ~ v1_finset_1(k3_tarski(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_197805,c_1170]) ).
tcf(c_197837,plain,
( v3_ordinal1(k3_numbers)
| ~ v3_ordinal1(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_197805,c_2262]) ).
tcf(c_197839,plain,
( v1_int_1(k3_numbers)
| ~ v4_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_197805,c_2115]) ).
tcf(c_197841,plain,
( v4_ordinal2(k3_numbers)
| ~ v5_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_197805,c_1270]) ).
tcf(c_197842,plain,
~ r2_hidden(k1_zfmisc_1(k1_numbers),k3_numbers),
inference(superposition,[status(thm)],[c_197805,c_431]) ).
tcf(c_197849,plain,
~ v4_membered(k1_zfmisc_1(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_197839,c_169104]) ).
tcf(c_197855,plain,
r1_tarski(k2_xboole_0(k1_zfmisc_1(k1_numbers),k1_zfmisc_1(k4_numbers)),k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_191738,c_507]) ).
tcf(c_197858,plain,
r1_tarski(k2_xboole_0(k5_finsub_1(k1_numbers),k5_finsub_1(k4_numbers)),k5_finsub_1(k1_numbers)),
inference(superposition,[status(thm)],[c_191738,c_492]) ).
tcf(c_197860,plain,
r1_tarski(k2_zfmisc_1(k1_numbers,k4_numbers),k1_zfmisc_1(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_191738,c_505]) ).
tcf(c_197867,plain,
! [X0: $i] :
( ( np__0 = k4_numbers )
| ( k2_tarski(X0,X0) = k4_numbers )
| ( k2_tarski(X0,X0) != k1_numbers ) ),
inference(superposition,[status(thm)],[c_191738,c_519]) ).
tcf(c_197870,plain,
! [X0: $i] :
( ( k1_numbers = k4_numbers )
| ( np__0 = k4_numbers )
| ( np__0 = k1_numbers )
| ( k2_tarski(X0,X0) != k1_numbers ) ),
inference(superposition,[status(thm)],[c_191738,c_511]) ).
tcf(c_197871,plain,
! [X0: $i] :
( r1_xboole_0(X0,k4_numbers)
| ~ r1_xboole_0(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_191738,c_718]) ).
tcf(c_197875,plain,
! [X0: $i] :
( r2_hidden(X0,k1_numbers)
| ~ r2_hidden(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_191738,c_551]) ).
tcf(c_197876,plain,
! [X0: $i] :
( r1_tarski(X0,k1_numbers)
| ~ r1_tarski(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_191738,c_537]) ).
tcf(c_197877,plain,
m1_subset_1(k4_numbers,k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_191738,c_190663]) ).
tcf(c_197878,plain,
r2_hidden(k4_numbers,k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_191738,c_183409]) ).
tcf(c_197891,plain,
! [X0: $i] :
( ( np__0 = k4_numbers )
| ( np__0 = k1_numbers )
| ( k2_tarski(X0,X0) != k1_numbers ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197870,c_3089]) ).
tcf(c_197901,plain,
( v1_xcmplx_0(k4_numbers)
| ~ v1_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_197877,c_1723]) ).
tcf(c_197904,plain,
( v1_xboole_0(k4_numbers)
| ~ v1_xboole_0(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_197877,c_425]) ).
tcf(c_197910,plain,
( v1_finset_1(k4_numbers)
| ~ v1_finset_1(k3_tarski(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_197878,c_1170]) ).
tcf(c_197911,plain,
( v3_ordinal1(k4_numbers)
| ~ v3_ordinal1(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_197878,c_2262]) ).
tcf(c_197915,plain,
( v4_ordinal2(k4_numbers)
| ~ v5_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_197878,c_1270]) ).
tcf(c_197916,plain,
~ r2_hidden(k1_zfmisc_1(k1_numbers),k4_numbers),
inference(superposition,[status(thm)],[c_197878,c_431]) ).
tcf(c_197926,plain,
~ v1_int_1(k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_3086,c_197916]) ).
tcf(c_197927,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_196580,c_78840,c_196580]) ).
tcf(c_197934,plain,
! [X0: $i] :
( r1_tarski(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_197927,c_100]) ).
tcf(c_197935,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_197927,c_1723]) ).
tcf(c_197936,plain,
! [X0: $i] :
( v1_xreal_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_197927,c_1722]) ).
tcf(c_197937,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_197927,c_1721]) ).
tcf(c_197938,plain,
! [X0: $i] :
( v1_xboole_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_197927,c_425]) ).
tcf(c_197939,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_197927,c_423]) ).
tcf(c_197940,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_197927,c_78786]) ).
tcf(c_197952,plain,
! [X0: $i] :
( r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197939,c_121]) ).
tcf(c_197968,plain,
! [X0: $i] : r1_tarski(sK118(X0,X0),sK264(X0,sK118(X0,X0))),
inference(superposition,[status(thm)],[c_632,c_1438]) ).
tcf(c_197969,plain,
! [X0: $i] : r1_tarski(np__0,sK264(X0,np__0)),
inference(superposition,[status(thm)],[c_646,c_1438]) ).
tcf(c_197970,plain,
! [X0: $i] :
( r1_tarski(X0,sK264(k5_numbers,X0))
| ~ m2_finseq_1(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_1438]) ).
tcf(c_197971,plain,
! [X0: $i] : r1_tarski(k6_partfun1(X0),sK264(X0,k6_partfun1(X0))),
inference(superposition,[status(thm)],[c_3982,c_1438]) ).
tcf(c_197972,plain,
! [X0: $i] : r1_tarski(sK276(X0,X0),sK264(X0,sK276(X0,X0))),
inference(superposition,[status(thm)],[c_179232,c_1438]) ).
tcf(c_197973,plain,
! [X0: $i] : r1_tarski(sK277(X0,X0),sK264(X0,sK277(X0,X0))),
inference(superposition,[status(thm)],[c_179233,c_1438]) ).
tcf(c_197974,plain,
! [X0: $i] : r1_tarski(sK278(X0,X0),sK264(X0,sK278(X0,X0))),
inference(superposition,[status(thm)],[c_179234,c_1438]) ).
tcf(c_197975,plain,
r1_tarski(sK358(k5_numbers),sK264(k5_numbers,sK358(k5_numbers))),
inference(superposition,[status(thm)],[c_179235,c_1438]) ).
tcf(c_197995,plain,
( sP16(sK265)
| v3_struct_0(sK265)
| ~ l3_lattices(sK265) ),
inference(superposition,[status(thm)],[c_1493,c_1471]) ).
tcf(c_197996,plain,
( sP16(sK266)
| v3_struct_0(sK266)
| ~ l3_lattices(sK266) ),
inference(superposition,[status(thm)],[c_1504,c_1471]) ).
tcf(c_197997,plain,
( sP16(sK267)
| v3_struct_0(sK267)
| ~ l3_lattices(sK267) ),
inference(superposition,[status(thm)],[c_1517,c_1471]) ).
tcf(c_197998,plain,
( sP16(sK421)
| v3_struct_0(sK421)
| ~ l3_lattices(sK421) ),
inference(superposition,[status(thm)],[c_2680,c_1471]) ).
tcf(c_197999,plain,
( sP16(sK422)
| v3_struct_0(sK422)
| ~ l3_lattices(sK422) ),
inference(superposition,[status(thm)],[c_2702,c_1471]) ).
tcf(c_198000,plain,
sP16(sK422),
inference(forward_subsumption_resolution,[status(thm)],[c_197999,c_2694,c_2693]) ).
tcf(c_198001,plain,
sP16(sK421),
inference(forward_subsumption_resolution,[status(thm)],[c_197998,c_2672,c_2671]) ).
tcf(c_198002,plain,
sP16(sK267),
inference(forward_subsumption_resolution,[status(thm)],[c_197997,c_1509,c_1508]) ).
tcf(c_198003,plain,
sP16(sK266),
inference(forward_subsumption_resolution,[status(thm)],[c_197996,c_1496,c_1495]) ).
tcf(c_198004,plain,
sP16(sK265),
inference(forward_subsumption_resolution,[status(thm)],[c_197995,c_1485,c_1484]) ).
tcf(c_198030,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168873,c_1624]) ).
tcf(c_198032,plain,
! [X0: $i,X1: $i] : m1_relset_1(k2_zfmisc_1(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_396,c_1624]) ).
tcf(c_198033,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(k2_relat_1(sK146(k2_zfmisc_1(X0,X1),X2)),X0,X1)
| ( k2_zfmisc_1(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_839,c_1624]) ).
tcf(c_198034,plain,
! [X0: $i] :
( m1_relset_1(X0,k1_relat_1(X0),k2_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_869,c_1624]) ).
tcf(c_198035,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(k2_tarski(X0,X0),X1,X2)
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_1108,c_1624]) ).
tcf(c_198036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_relset_1(k4_xboole_0(X0,X3),X1,X2)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_1143,c_1624]) ).
tcf(c_198037,plain,
! [X0: $i,X1: $i,X2: $i] : m1_relset_1(k4_xboole_0(k2_zfmisc_1(X0,X1),X2),X0,X1),
inference(superposition,[status(thm)],[c_1147,c_1624]) ).
tcf(c_198038,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(k7_relat_1(k2_zfmisc_1(X0,X1),X2),X0,X1)
| ~ v1_relat_1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1929,c_1624]) ).
tcf(c_198039,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(k1_relat_1(k7_relat_1(X0,k2_zfmisc_1(X1,X2))),X1,X2)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1930,c_1624]) ).
tcf(c_198041,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(k5_relat_1(k2_zfmisc_1(X0,X1),k6_partfun1(X2)),X0,X1)
| ~ v1_relat_1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_2843,c_1624]) ).
tcf(c_198042,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(k5_relat_1(k6_partfun1(X2),k2_zfmisc_1(X0,X1)),X0,X1)
| ~ v1_relat_1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_2844,c_1624]) ).
tcf(c_198043,plain,
! [X0: $i,X1: $i] :
( m1_relset_1(k4_classes1(k1_card_1(k2_zfmisc_1(X0,X1))),X0,X1)
| ~ v2_classes1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_3158,c_1624]) ).
tcf(c_198044,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(k1_setfam_1(X2),X0,X1)
| ~ r2_hidden(k2_zfmisc_1(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_3411,c_1624]) ).
tcf(c_198045,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(k8_relat_1(X2,k2_zfmisc_1(X0,X1)),X0,X1)
| ~ v1_relat_1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_3893,c_1624]) ).
tcf(c_198046,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(k2_relat_1(k8_relat_1(k2_zfmisc_1(X1,X2),X0)),X1,X2)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3894,c_1624]) ).
tcf(c_198047,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| m1_relset_1(sK54(k2_zfmisc_1(X0,X1)),X0,X1) ),
inference(superposition,[status(thm)],[c_168498,c_1624]) ).
tcf(c_198048,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| m1_relset_1(sK141(k2_zfmisc_1(X0,X1)),X0,X1) ),
inference(superposition,[status(thm)],[c_168499,c_1624]) ).
tcf(c_198049,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| m1_relset_1(sK142(k2_zfmisc_1(X0,X1)),X0,X1) ),
inference(superposition,[status(thm)],[c_168500,c_1624]) ).
tcf(c_198050,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK43(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X0,X1),
inference(superposition,[status(thm)],[c_168495,c_1624]) ).
tcf(c_198051,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X0,X1),
inference(superposition,[status(thm)],[c_178146,c_1624]) ).
tcf(c_198052,plain,
! [X0: $i,X1: $i,X2: $i] : m1_relset_1(k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,X1),X2)),X0,X1),
inference(superposition,[status(thm)],[c_174032,c_1624]) ).
tcf(c_198053,plain,
! [X0: $i,X1: $i,X2: $i] : m1_relset_1(k1_setfam_1(k2_tarski(X0,k2_zfmisc_1(X1,X2))),X1,X2),
inference(superposition,[status(thm)],[c_174100,c_1624]) ).
tcf(c_198054,plain,
! [X0: $i,X1: $i,X2: $i] : m1_relset_1(k9_relat_1(k6_partfun1(k2_zfmisc_1(X0,X1)),X2),X0,X1),
inference(superposition,[status(thm)],[c_182635,c_1624]) ).
tcf(c_198055,plain,
! [X0: $i,X1: $i,X2: $i] : m1_relset_1(k10_relat_1(k6_partfun1(k2_zfmisc_1(X0,X1)),X2),X0,X1),
inference(superposition,[status(thm)],[c_183221,c_1624]) ).
tcf(c_198056,plain,
! [X0: $i,X1: $i] :
( m1_relset_1(X0,np__0,X1)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_629,c_1624]) ).
tcf(c_198057,plain,
! [X0: $i,X1: $i] :
( m1_relset_1(X0,X1,np__0)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_630,c_1624]) ).
tcf(c_198082,plain,
! [X0: $i,X1: $i,X2: $i] : m1_relset_1(k8_relat_1(X0,k2_zfmisc_1(X1,X2)),X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_198045,c_623]) ).
tcf(c_198085,plain,
! [X0: $i,X1: $i,X2: $i] : m1_relset_1(k7_relat_1(k2_zfmisc_1(X0,X1),X2),X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_198038,c_623]) ).
tcf(c_198086,plain,
! [X0: $i,X1: $i,X2: $i] : m1_relset_1(k5_relat_1(k6_partfun1(X0),k2_zfmisc_1(X1,X2)),X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_198042,c_623]) ).
tcf(c_198087,plain,
! [X0: $i,X1: $i,X2: $i] : m1_relset_1(k5_relat_1(k2_zfmisc_1(X0,X1),k6_partfun1(X2)),X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_198041,c_623]) ).
tcf(c_198257,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_197277,c_78840,c_197277]) ).
tcf(c_198264,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_198257,c_100]) ).
tcf(c_198265,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_198257,c_1723]) ).
tcf(c_198266,plain,
! [X0: $i] :
( v1_xreal_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_198257,c_1722]) ).
tcf(c_198267,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_198257,c_1721]) ).
tcf(c_198268,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_198257,c_425]) ).
tcf(c_198269,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_198257,c_423]) ).
tcf(c_198270,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_198257,c_78786]) ).
tcf(c_198282,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198269,c_121]) ).
tcf(c_198298,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,np__0)
| ~ m1_relset_1(X0,np__0,X1) ),
inference(superposition,[status(thm)],[c_629,c_1625]) ).
tcf(c_198299,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,np__0)
| ~ m1_relset_1(X0,X1,np__0) ),
inference(superposition,[status(thm)],[c_630,c_1625]) ).
tcf(c_198300,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,k2_zfmisc_1(X1,X2)) = np__0 )
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1625,c_1145]) ).
tcf(c_198301,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ r1_xboole_0(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_1625,c_719]) ).
tcf(c_198302,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(X0,k2_zfmisc_1(X1,X2)) = k2_zfmisc_1(X1,X2) )
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1625,c_535]) ).
tcf(c_198303,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(X0)
| ~ v5_membered(k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1625,c_2333]) ).
tcf(c_198304,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(X0)
| ~ v2_membered(k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1625,c_2241]) ).
tcf(c_198305,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(X0)
| ~ v3_membered(k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1625,c_2215]) ).
tcf(c_198306,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(X0)
| ~ v4_membered(k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1625,c_2107]) ).
tcf(c_198307,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(X0)
| ~ v1_membered(k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1625,c_1733]) ).
tcf(c_198308,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1625,c_802]) ).
tcf(c_198309,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1625,c_377]) ).
tcf(c_198310,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_relset_1(X2,X0,X1)
| ~ r2_hidden(k2_zfmisc_1(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1625,c_376]) ).
tcf(c_198311,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ m1_relset_1(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_1625,c_382]) ).
tcf(c_198312,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ m1_relset_1(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_1625,c_383]) ).
tcf(c_198314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_zfmisc_1(X2,X3))
| ~ m1_relset_1(k2_xboole_0(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_1625,c_536]) ).
tcf(c_198315,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(X0),k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(sK241(X0,k2_zfmisc_1(X1,X2)),X1,X2) ),
inference(superposition,[status(thm)],[c_1625,c_1191]) ).
tcf(c_198316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,k2_zfmisc_1(X2,X3))
| ~ m1_relset_1(k2_tarski(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_1625,c_2025]) ).
tcf(c_198317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k2_zfmisc_1(X2,X3))
| ~ m1_relset_1(k2_tarski(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_1625,c_2024]) ).
tcf(c_198318,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_wellord2(X0,k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(k1_zfmisc_1(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_1625,c_2406]) ).
tcf(c_198319,plain,
! [X0: $i,X1: $i] : ~ m1_relset_1(sK373(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X0,X1),
inference(superposition,[status(thm)],[c_1625,c_168712]) ).
tcf(c_198320,plain,
! [X0: $i,X1: $i] : ~ m1_relset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X0,X1),
inference(superposition,[status(thm)],[c_1625,c_168846]) ).
tcf(c_198321,plain,
! [X0: $i,X1: $i] : ~ m1_relset_1(sK546(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X0,X1),
inference(superposition,[status(thm)],[c_1625,c_168714]) ).
tcf(c_198322,plain,
! [X0: $i,X1: $i] : ~ m1_relset_1(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X0,X1),
inference(superposition,[status(thm)],[c_1625,c_183590]) ).
tcf(c_198341,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198309,c_623]) ).
tcf(c_198395,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X1,X0))
| ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0) ),
inference(superposition,[status(thm)],[c_2041,c_1719]) ).
tcf(c_198407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v3_membered(k2_tarski(X3,X3))
| ~ v3_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_53,c_1752]) ).
tcf(c_198408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_membered(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))
| ~ v3_membered(k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))
| ~ v3_membered(k2_zfmisc_1(k4_xboole_0(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_501,c_1752]) ).
tcf(c_198409,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(X0,k2_xboole_0(X1,X2)))
| ~ v3_membered(k2_zfmisc_1(X0,X2))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_504,c_1752]) ).
tcf(c_198410,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(k2_xboole_0(X0,X2),X1))
| ~ v3_membered(k2_zfmisc_1(X2,X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_503,c_1752]) ).
tcf(c_198411,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X1,X0))
| ~ v3_membered(X1)
| ~ v3_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_529,c_1752]) ).
tcf(c_198412,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k2_xboole_0(X0,X2),X1))
| ~ v3_membered(k4_xboole_0(X2,X1))
| ~ v3_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_526,c_1752]) ).
tcf(c_198413,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X0,X1))
| ~ v3_membered(X0)
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_541,c_1752]) ).
tcf(c_198416,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X1,X0))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_546,c_1752]) ).
tcf(c_198417,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v3_membered(np__0)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_169170,c_1752]) ).
tcf(c_198525,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_197681,c_78840,c_197681]) ).
tcf(c_198532,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_198525,c_100]) ).
tcf(c_198533,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_198525,c_1723]) ).
tcf(c_198534,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_198525,c_1722]) ).
tcf(c_198535,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_198525,c_1721]) ).
tcf(c_198536,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_198525,c_425]) ).
tcf(c_198537,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_198525,c_423]) ).
tcf(c_198538,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_198525,c_78786]) ).
tcf(c_198550,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198537,c_121]) ).
tcf(c_198569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v2_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v3_membered(k2_tarski(X3,X3))
| ~ v3_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_53,c_1753]) ).
tcf(c_198570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v2_membered(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))
| ~ v3_membered(k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))
| ~ v3_membered(k2_zfmisc_1(k4_xboole_0(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_501,c_1753]) ).
tcf(c_198571,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_zfmisc_1(X0,k2_xboole_0(X1,X2)))
| ~ v3_membered(k2_zfmisc_1(X0,X2))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_504,c_1753]) ).
tcf(c_198572,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_zfmisc_1(k2_xboole_0(X0,X2),X1))
| ~ v3_membered(k2_zfmisc_1(X2,X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_503,c_1753]) ).
tcf(c_198573,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_xboole_0(X1,X0))
| ~ v3_membered(X1)
| ~ v3_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_529,c_1753]) ).
tcf(c_198574,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k2_xboole_0(X0,X2),X1))
| ~ v3_membered(k4_xboole_0(X2,X1))
| ~ v3_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_526,c_1753]) ).
tcf(c_198575,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_xboole_0(X0,X1))
| ~ v3_membered(X0)
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_541,c_1753]) ).
tcf(c_198578,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_xboole_0(X1,X0))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_546,c_1753]) ).
tcf(c_198579,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v3_membered(np__0)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_169170,c_1753]) ).
tcf(c_198584,plain,
( v2_membered(k2_numbers)
| ~ v3_membered(k4_numbers)
| ~ v3_membered(k2_numbers) ),
inference(superposition,[status(thm)],[c_191696,c_1753]) ).
tcf(c_198585,plain,
( v2_membered(k2_numbers)
| ~ v3_membered(k3_numbers)
| ~ v3_membered(k2_numbers) ),
inference(superposition,[status(thm)],[c_191697,c_1753]) ).
tcf(c_198596,plain,
( v2_membered(k2_numbers)
| ~ v3_membered(k2_numbers) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198585,c_2223]) ).
tcf(c_198639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v3_membered(k2_tarski(X3,X3))
| ~ v3_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_53,c_1754]) ).
tcf(c_198640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_membered(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))
| ~ v3_membered(k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))
| ~ v3_membered(k2_zfmisc_1(k4_xboole_0(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_501,c_1754]) ).
tcf(c_198641,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k2_zfmisc_1(X0,k2_xboole_0(X1,X2)))
| ~ v3_membered(k2_zfmisc_1(X0,X2))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_504,c_1754]) ).
tcf(c_198642,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k2_zfmisc_1(k2_xboole_0(X0,X2),X1))
| ~ v3_membered(k2_zfmisc_1(X2,X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_503,c_1754]) ).
tcf(c_198643,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_xboole_0(X1,X0))
| ~ v3_membered(X1)
| ~ v3_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_529,c_1754]) ).
tcf(c_198644,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(k2_xboole_0(X0,X2),X1))
| ~ v3_membered(k4_xboole_0(X2,X1))
| ~ v3_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_526,c_1754]) ).
tcf(c_198648,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_xboole_0(X1,X0))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_546,c_1754]) ).
tcf(c_198697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v2_membered(k2_tarski(X3,X3))
| ~ v2_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_53,c_1755]) ).
tcf(c_198698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_membered(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))
| ~ v2_membered(k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))
| ~ v2_membered(k2_zfmisc_1(k4_xboole_0(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_501,c_1755]) ).
tcf(c_198699,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(X0,k2_xboole_0(X1,X2)))
| ~ v2_membered(k2_zfmisc_1(X0,X2))
| ~ v2_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_504,c_1755]) ).
tcf(c_198700,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(k2_xboole_0(X0,X2),X1))
| ~ v2_membered(k2_zfmisc_1(X2,X1))
| ~ v2_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_503,c_1755]) ).
tcf(c_198701,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X1,X0))
| ~ v2_membered(X1)
| ~ v2_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_529,c_1755]) ).
tcf(c_198702,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k2_xboole_0(X0,X2),X1))
| ~ v2_membered(k4_xboole_0(X2,X1))
| ~ v2_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_526,c_1755]) ).
tcf(c_198703,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X0,X1))
| ~ v2_membered(X0)
| ~ v2_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_541,c_1755]) ).
tcf(c_198706,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X1,X0))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_546,c_1755]) ).
tcf(c_198707,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v2_membered(np__0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_169170,c_1755]) ).
tcf(c_198759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v2_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v2_membered(k2_tarski(X3,X3))
| ~ v2_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_53,c_1756]) ).
tcf(c_198760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v2_membered(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))
| ~ v2_membered(k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))
| ~ v2_membered(k2_zfmisc_1(k4_xboole_0(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_501,c_1756]) ).
tcf(c_198761,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_zfmisc_1(X0,k2_xboole_0(X1,X2)))
| ~ v2_membered(k2_zfmisc_1(X0,X2))
| ~ v2_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_504,c_1756]) ).
tcf(c_198762,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_zfmisc_1(k2_xboole_0(X0,X2),X1))
| ~ v2_membered(k2_zfmisc_1(X2,X1))
| ~ v2_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_503,c_1756]) ).
tcf(c_198763,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_xboole_0(X1,X0))
| ~ v2_membered(X1)
| ~ v2_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_529,c_1756]) ).
tcf(c_198764,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k2_xboole_0(X0,X2),X1))
| ~ v2_membered(k4_xboole_0(X2,X1))
| ~ v2_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_526,c_1756]) ).
tcf(c_198768,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_xboole_0(X1,X0))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_546,c_1756]) ).
tcf(c_198855,plain,
! [X0: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| r2_hidden(X0,k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_687,c_192495]) ).
tcf(c_198856,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ r1_tarski(k4_xboole_0(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_700,c_192495]) ).
tcf(c_198858,plain,
! [X0: $i] : v1_xboole_0(k4_xboole_0(X0,X0)),
inference(superposition,[status(thm)],[c_704,c_192495]) ).
tcf(c_198902,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_197940,c_78840,c_197940]) ).
tcf(c_198909,plain,
! [X0: $i] :
( r1_tarski(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_198902,c_100]) ).
tcf(c_198910,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_198902,c_1723]) ).
tcf(c_198911,plain,
! [X0: $i] :
( v1_xreal_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_198902,c_1722]) ).
tcf(c_198912,plain,
! [X0: $i] :
( v1_xcmplx_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_198902,c_1721]) ).
tcf(c_198913,plain,
! [X0: $i] :
( v1_xboole_0(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_198902,c_425]) ).
tcf(c_198914,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_198902,c_423]) ).
tcf(c_198915,plain,
! [X0: $i] :
( m1_subset_1(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_198902,c_78786]) ).
tcf(c_198927,plain,
! [X0: $i] :
( r2_hidden(sK87(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198914,c_121]) ).
tcf(c_198946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v1_membered(k2_tarski(X3,X3))
| ~ v1_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_53,c_1757]) ).
tcf(c_198947,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_membered(k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))
| ~ v1_membered(k2_zfmisc_1(k4_xboole_0(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_501,c_1757]) ).
tcf(c_198948,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(X0,k2_xboole_0(X1,X2)))
| ~ v1_membered(k2_zfmisc_1(X0,X2))
| ~ v1_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_504,c_1757]) ).
tcf(c_198949,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(k2_xboole_0(X0,X2),X1))
| ~ v1_membered(k2_zfmisc_1(X2,X1))
| ~ v1_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_503,c_1757]) ).
tcf(c_198950,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X1,X0))
| ~ v1_membered(X1)
| ~ v1_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_529,c_1757]) ).
tcf(c_198951,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k2_xboole_0(X0,X2),X1))
| ~ v1_membered(k4_xboole_0(X2,X1))
| ~ v1_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_526,c_1757]) ).
tcf(c_198955,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X1,X0))
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_546,c_1757]) ).
tcf(c_199003,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X1,X0))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_2041,c_1764]) ).
tcf(c_199016,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X1,X0))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_2041,c_1765]) ).
tcf(c_199026,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK319(X0,X1))
| ~ v1_xboole_0(k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_168873,c_1787]) ).
tcf(c_199027,plain,
! [X0: $i] : v1_relat_1(sK319(X0,X0)),
inference(superposition,[status(thm)],[c_396,c_1787]) ).
tcf(c_199028,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK319(X0,X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2062,c_1787]) ).
tcf(c_199029,plain,
! [X0: $i] :
( v1_relat_1(sK319(np__0,X0))
| ~ r1_tarski(np__0,k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_2055,c_1787]) ).
tcf(c_199030,plain,
! [X0: $i] :
( v1_relat_1(sK319(X0,np__0))
| ~ r1_tarski(k1_card_1(X0),np__0) ),
inference(superposition,[status(thm)],[c_2055,c_1787]) ).
tcf(c_199037,plain,
! [X0: $i] : v1_relat_1(sK319(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_199029,c_391]) ).
tcf(c_199039,plain,
! [X0: $i] : k4_relat_1(k4_relat_1(sK319(X0,X0))) = sK319(X0,X0),
inference(superposition,[status(thm)],[c_199027,c_3920]) ).
tcf(c_199040,plain,
! [X0: $i] : k8_relat_1(np__0,sK319(X0,X0)) = np__0,
inference(superposition,[status(thm)],[c_199027,c_3874]) ).
tcf(c_199041,plain,
! [X0: $i] : k10_relat_1(sK319(X0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_199027,c_1970]) ).
tcf(c_199042,plain,
! [X0: $i] : k7_relat_1(sK319(X0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_199027,c_1911]) ).
tcf(c_199043,plain,
! [X0: $i] : k9_relat_1(sK319(X0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_199027,c_1870]) ).
tcf(c_199044,plain,
! [X0: $i] : k5_relat_1(sK319(X0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_199027,c_968]) ).
tcf(c_199045,plain,
! [X0: $i] : k5_relat_1(np__0,sK319(X0,X0)) = np__0,
inference(superposition,[status(thm)],[c_199027,c_967]) ).
tcf(c_199046,plain,
! [X0: $i] :
( sP8(sK319(X0,X0))
| ~ v1_funct_1(sK319(X0,X0)) ),
inference(superposition,[status(thm)],[c_199027,c_931]) ).
tcf(c_199087,plain,
! [X0: $i] : k4_relat_1(k4_relat_1(sK319(np__0,X0))) = sK319(np__0,X0),
inference(superposition,[status(thm)],[c_199037,c_3920]) ).
tcf(c_199088,plain,
! [X0: $i] : k8_relat_1(np__0,sK319(np__0,X0)) = np__0,
inference(superposition,[status(thm)],[c_199037,c_3874]) ).
tcf(c_199089,plain,
! [X0: $i] : k10_relat_1(sK319(np__0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_199037,c_1970]) ).
tcf(c_199090,plain,
! [X0: $i] : k7_relat_1(sK319(np__0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_199037,c_1911]) ).
tcf(c_199091,plain,
! [X0: $i] : k9_relat_1(sK319(np__0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_199037,c_1870]) ).
tcf(c_199092,plain,
! [X0: $i] : k5_relat_1(sK319(np__0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_199037,c_968]) ).
tcf(c_199093,plain,
! [X0: $i] : k5_relat_1(np__0,sK319(np__0,X0)) = np__0,
inference(superposition,[status(thm)],[c_199037,c_967]) ).
tcf(c_199094,plain,
! [X0: $i] :
( sP8(sK319(np__0,X0))
| ~ v1_funct_1(sK319(np__0,X0)) ),
inference(superposition,[status(thm)],[c_199037,c_931]) ).
tcf(c_199098,plain,
~ v1_xboole_0(k1_zfmisc_1(np__1)),
inference(superposition,[status(thm)],[c_169637,c_192610]) ).
tcf(c_199102,plain,
~ r1_xboole_0(k1_zfmisc_1(sK138),k1_zfmisc_1(sK138)),
inference(superposition,[status(thm)],[c_177293,c_192628]) ).
tcf(c_199103,plain,
~ r1_xboole_0(k1_zfmisc_1(sK143),k1_zfmisc_1(sK143)),
inference(superposition,[status(thm)],[c_177299,c_192628]) ).
tcf(c_199104,plain,
~ r1_xboole_0(k1_zfmisc_1(sK357),k1_zfmisc_1(sK357)),
inference(superposition,[status(thm)],[c_177300,c_192628]) ).
tcf(c_199105,plain,
! [X0: $i] :
( v1_relat_1(sK319(sK137(np__0),X0))
| ~ r1_tarski(np__0,k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_193075,c_1787]) ).
tcf(c_199106,plain,
! [X0: $i] :
( r1_tarski(np__0,k1_card_1(X0))
| ~ r1_tarski(sK137(np__0),X0) ),
inference(superposition,[status(thm)],[c_193075,c_2062]) ).
tcf(c_199107,plain,
( r1_tarski(k4_classes1(np__0),sK137(np__0))
| ~ v2_classes1(sK137(np__0)) ),
inference(superposition,[status(thm)],[c_193075,c_3158]) ).
tcf(c_199108,plain,
( r1_ordinal1(np__0,sK137(np__0))
| ~ v3_ordinal1(sK137(np__0)) ),
inference(superposition,[status(thm)],[c_193075,c_3513]) ).
tcf(c_199110,plain,
( v2_classes1(k4_classes1(np__0))
| ~ v2_classes1(sK137(np__0)) ),
inference(superposition,[status(thm)],[c_193075,c_3153]) ).
tcf(c_199111,plain,
m1_subset_1(np__0,k1_card_1(k1_zfmisc_1(sK137(np__0)))),
inference(superposition,[status(thm)],[c_193075,c_165034]) ).
tcf(c_199113,plain,
r2_hidden(np__0,k1_card_1(k1_zfmisc_1(sK137(np__0)))),
inference(superposition,[status(thm)],[c_193075,c_2056]) ).
tcf(c_199115,plain,
( v1_finset_1(sK137(np__0))
| ~ v1_finset_1(np__0) ),
inference(superposition,[status(thm)],[c_193075,c_776]) ).
tcf(c_199116,plain,
r2_wellord2(sK137(np__0),np__0),
inference(superposition,[status(thm)],[c_193075,c_6488]) ).
tcf(c_199118,plain,
! [X0: $i] :
( v1_relat_1(sK319(X0,sK137(np__0)))
| ~ r1_tarski(k1_card_1(X0),np__0) ),
inference(superposition,[status(thm)],[c_193075,c_1787]) ).
tcf(c_199119,plain,
! [X0: $i] :
( r1_tarski(k1_card_1(X0),np__0)
| ~ r1_tarski(X0,sK137(np__0)) ),
inference(superposition,[status(thm)],[c_193075,c_2062]) ).
tcf(c_199120,plain,
v1_finset_1(sK137(np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_199115,c_163479]) ).
tcf(c_199131,plain,
! [X0: $i] : v1_relat_1(sK319(sK137(np__0),X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_199105,c_391]) ).
tcf(c_199145,plain,
k1_card_1(sK137(sK137(np__0))) = k1_card_1(sK137(np__0)),
inference(superposition,[status(thm)],[c_199120,c_775]) ).
tcf(c_199146,plain,
k2_relat_1(sK356(sK137(np__0))) = sK137(np__0),
inference(superposition,[status(thm)],[c_199120,c_2072]) ).
tcf(c_199147,plain,
k1_zfmisc_1(sK137(np__0)) = k5_finsub_1(sK137(np__0)),
inference(superposition,[status(thm)],[c_199120,c_768]) ).
tcf(c_199148,plain,
k1_card_1(sK137(sK137(np__0))) = np__0,
inference(light_normalisation,[status(thm)],[c_199145,c_193075]) ).
tcf(c_199153,plain,
sK137(np__0) = np__0,
inference(superposition,[status(thm)],[c_199116,c_2404]) ).
tcf(c_199159,plain,
( m2_subset_1(np__0,k1_numbers,k5_numbers)
| ~ v1_finset_1(np__0) ),
inference(superposition,[status(thm)],[c_199153,c_774]) ).
tcf(c_199160,plain,
m2_subset_1(np__0,k1_numbers,k5_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_199159,c_163479]) ).
tcf(c_199161,plain,
r2_wellord2(k2_finseq_1(np__0),np__0),
inference(superposition,[status(thm)],[c_199160,c_1307]) ).
tcf(c_199164,plain,
k2_finseq_1(np__0) = np__0,
inference(superposition,[status(thm)],[c_199161,c_2404]) ).
tcf(c_199171,plain,
( m1_subset_1(np__0,k1_zfmisc_1(k5_numbers))
| ~ v4_ordinal2(np__0) ),
inference(superposition,[status(thm)],[c_199164,c_1231]) ).
tcf(c_199172,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_198270,c_78840,c_198270]) ).
tcf(c_199179,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_199172,c_100]) ).
tcf(c_199180,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_199172,c_1723]) ).
tcf(c_199181,plain,
! [X0: $i] :
( v1_xreal_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_199172,c_1722]) ).
tcf(c_199182,plain,
! [X0: $i] :
( v1_xcmplx_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_199172,c_1721]) ).
tcf(c_199183,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_199172,c_425]) ).
tcf(c_199184,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_199172,c_423]) ).
tcf(c_199185,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_199172,c_78786]) ).
tcf(c_199197,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199184,c_121]) ).
tcf(c_199295,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK319(X0,X1))
| ~ v1_xboole_0(k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_168873,c_1788]) ).
tcf(c_199296,plain,
! [X0: $i] : v1_funct_1(sK319(X0,X0)),
inference(superposition,[status(thm)],[c_396,c_1788]) ).
tcf(c_199297,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK319(X0,X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2062,c_1788]) ).
tcf(c_199298,plain,
! [X0: $i] :
( v1_funct_1(sK319(np__0,X0))
| ~ r1_tarski(np__0,k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_2055,c_1788]) ).
tcf(c_199299,plain,
! [X0: $i] :
( v1_funct_1(sK319(X0,np__0))
| ~ r1_tarski(k1_card_1(X0),np__0) ),
inference(superposition,[status(thm)],[c_2055,c_1788]) ).
tcf(c_199306,plain,
! [X0: $i] : v1_funct_1(sK319(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_199298,c_391]) ).
tcf(c_199312,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(sK319(X0,X1))
| ~ v1_xboole_0(k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_168873,c_1789]) ).
tcf(c_199313,plain,
! [X0: $i] : v2_funct_1(sK319(X0,X0)),
inference(superposition,[status(thm)],[c_396,c_1789]) ).
tcf(c_199314,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(sK319(X0,X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2062,c_1789]) ).
tcf(c_199315,plain,
! [X0: $i] :
( v2_funct_1(sK319(np__0,X0))
| ~ r1_tarski(np__0,k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_2055,c_1789]) ).
tcf(c_199316,plain,
! [X0: $i] :
( v2_funct_1(sK319(X0,np__0))
| ~ r1_tarski(k1_card_1(X0),np__0) ),
inference(superposition,[status(thm)],[c_2055,c_1789]) ).
tcf(c_199323,plain,
! [X0: $i] : v2_funct_1(sK319(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_199315,c_391]) ).
tcf(c_199331,plain,
! [X0: $i] :
( v2_funct_1(sK118(X0,np__0))
| ~ v1_funct_1(sK118(X0,np__0)) ),
inference(superposition,[status(thm)],[c_632,c_1806]) ).
tcf(c_199333,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_finseq_1(X0,np__0) ),
inference(superposition,[status(thm)],[c_2067,c_1806]) ).
tcf(c_199334,plain,
( v2_funct_1(k6_partfun1(np__0))
| ~ v1_funct_1(k6_partfun1(np__0)) ),
inference(superposition,[status(thm)],[c_3982,c_1806]) ).
tcf(c_199335,plain,
! [X0: $i] :
( v2_funct_1(sK276(X0,np__0))
| ~ v1_funct_1(sK276(X0,np__0)) ),
inference(superposition,[status(thm)],[c_179232,c_1806]) ).
tcf(c_199336,plain,
! [X0: $i] :
( v2_funct_1(sK277(X0,np__0))
| ~ v1_funct_1(sK277(X0,np__0)) ),
inference(superposition,[status(thm)],[c_179233,c_1806]) ).
tcf(c_199337,plain,
! [X0: $i] :
( v2_funct_1(sK278(X0,np__0))
| ~ v1_funct_1(sK278(X0,np__0)) ),
inference(superposition,[status(thm)],[c_179234,c_1806]) ).
tcf(c_199338,plain,
( v2_funct_1(sK358(np__0))
| ~ v1_funct_1(sK358(np__0)) ),
inference(superposition,[status(thm)],[c_179235,c_1806]) ).
tcf(c_199339,plain,
v2_funct_1(sK358(np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_199338,c_2087]) ).
tcf(c_199340,plain,
( v2_funct_1(np__0)
| ~ v1_funct_1(np__0) ),
inference(light_normalisation,[status(thm)],[c_199334,c_2838]) ).
tcf(c_199343,plain,
! [X0: $i] : v2_funct_1(sK277(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_199336,c_1620]) ).
tcf(c_199344,plain,
! [X0: $i] : v2_funct_1(sK276(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_199335,c_1616]) ).
tcf(c_199360,plain,
! [X0: $i] :
( v2_funct_1(sK118(np__0,X0))
| ~ v1_funct_1(sK118(np__0,X0)) ),
inference(superposition,[status(thm)],[c_632,c_1807]) ).
tcf(c_199363,plain,
! [X0: $i] :
( v2_funct_1(sK276(np__0,X0))
| ~ v1_funct_1(sK276(np__0,X0)) ),
inference(superposition,[status(thm)],[c_179232,c_1807]) ).
tcf(c_199364,plain,
! [X0: $i] :
( v2_funct_1(sK277(np__0,X0))
| ~ v1_funct_1(sK277(np__0,X0)) ),
inference(superposition,[status(thm)],[c_179233,c_1807]) ).
tcf(c_199365,plain,
! [X0: $i] :
( v2_funct_1(sK278(np__0,X0))
| ~ v1_funct_1(sK278(np__0,X0)) ),
inference(superposition,[status(thm)],[c_179234,c_1807]) ).
tcf(c_199368,plain,
! [X0: $i] : v2_funct_1(sK277(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_199364,c_1620]) ).
tcf(c_199369,plain,
! [X0: $i] : v2_funct_1(sK276(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_199363,c_1616]) ).
tcf(c_199372,plain,
( sP7(sK358(np__0))
| ~ sP8(sK358(np__0)) ),
inference(superposition,[status(thm)],[c_199339,c_920]) ).
tcf(c_199373,plain,
sP7(sK358(np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_199372,c_169943]) ).
tcf(c_199375,plain,
! [X0: $i] :
( sP7(sK319(X0,X0))
| ~ sP8(sK319(X0,X0)) ),
inference(superposition,[status(thm)],[c_199313,c_920]) ).
tcf(c_199379,plain,
! [X0: $i] :
( sP7(sK319(np__0,X0))
| ~ sP8(sK319(np__0,X0)) ),
inference(superposition,[status(thm)],[c_199323,c_920]) ).
tcf(c_199382,plain,
! [X0: $i] :
( sP7(sK277(X0,np__0))
| ~ sP8(sK277(X0,np__0)) ),
inference(superposition,[status(thm)],[c_199343,c_920]) ).
tcf(c_199383,plain,
! [X0: $i] : sP7(sK277(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_199382,c_169944]) ).
tcf(c_199385,plain,
! [X0: $i] :
( sP7(sK276(X0,np__0))
| ~ sP8(sK276(X0,np__0)) ),
inference(superposition,[status(thm)],[c_199344,c_920]) ).
tcf(c_199386,plain,
! [X0: $i] : sP7(sK276(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_199385,c_169945]) ).
tcf(c_199388,plain,
! [X0: $i] :
( sP7(sK277(np__0,X0))
| ~ sP8(sK277(np__0,X0)) ),
inference(superposition,[status(thm)],[c_199368,c_920]) ).
tcf(c_199389,plain,
! [X0: $i] : sP7(sK277(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_199388,c_169944]) ).
tcf(c_199390,plain,
! [X0: $i] :
( sP7(sK276(np__0,X0))
| ~ sP8(sK276(np__0,X0)) ),
inference(superposition,[status(thm)],[c_199369,c_920]) ).
tcf(c_199391,plain,
! [X0: $i] : sP7(sK276(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_199390,c_169945]) ).
tcf(c_199394,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_198538,c_78840,c_198538]) ).
tcf(c_199401,plain,
! [X0: $i] :
( r1_tarski(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_199394,c_100]) ).
tcf(c_199402,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_199394,c_1723]) ).
tcf(c_199403,plain,
! [X0: $i] :
( v1_xreal_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_199394,c_1722]) ).
tcf(c_199404,plain,
! [X0: $i] :
( v1_xcmplx_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_199394,c_1721]) ).
tcf(c_199405,plain,
! [X0: $i] :
( v1_xboole_0(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_199394,c_425]) ).
tcf(c_199406,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_199394,c_423]) ).
tcf(c_199407,plain,
! [X0: $i] :
( m1_subset_1(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK81(X0)) ),
inference(superposition,[status(thm)],[c_199394,c_78786]) ).
tcf(c_199419,plain,
! [X0: $i] :
( r2_hidden(sK43(k1_zfmisc_1(u1_struct_0(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(sK81(X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199406,c_121]) ).
tcf(c_199448,plain,
( r1_tarski(k2_relat_1(np__0),k2_relat_1(np__0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_1910,c_1922]) ).
tcf(c_199449,plain,
( r1_tarski(k2_relat_1(np__0),k2_relat_1(sK90))
| ~ v1_relat_1(sK90) ),
inference(superposition,[status(thm)],[c_182776,c_1922]) ).
tcf(c_199450,plain,
( r1_tarski(k2_relat_1(np__0),k2_relat_1(sK119))
| ~ v1_relat_1(sK119) ),
inference(superposition,[status(thm)],[c_182779,c_1922]) ).
tcf(c_199451,plain,
( r1_tarski(k2_relat_1(np__0),k2_relat_1(sK138))
| ~ v1_relat_1(sK138) ),
inference(superposition,[status(thm)],[c_182782,c_1922]) ).
tcf(c_199452,plain,
( r1_tarski(k2_relat_1(np__0),k2_relat_1(sK336))
| ~ v1_relat_1(sK336) ),
inference(superposition,[status(thm)],[c_182793,c_1922]) ).
tcf(c_199453,plain,
( r1_tarski(k2_relat_1(np__0),k2_relat_1(sK357))
| ~ v1_relat_1(sK357) ),
inference(superposition,[status(thm)],[c_182796,c_1922]) ).
tcf(c_199454,plain,
( r1_tarski(k2_relat_1(np__0),k2_relat_1(sK359))
| ~ v1_relat_1(sK359) ),
inference(superposition,[status(thm)],[c_182798,c_1922]) ).
tcf(c_199455,plain,
! [X0: $i] :
( r1_tarski(k2_relat_1(k7_relat_1(np__0,X0)),np__0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_995,c_1922]) ).
tcf(c_199456,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(k7_relat_1(k6_partfun1(X0),X1)),X0)
| ~ v1_relat_1(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2854,c_1922]) ).
tcf(c_199457,plain,
! [X0: $i] :
( r1_tarski(k2_relat_1(k7_relat_1(sK356(np__0),X0)),np__0)
| ~ v1_relat_1(sK356(np__0)) ),
inference(superposition,[status(thm)],[c_183653,c_1922]) ).
tcf(c_199458,plain,
! [X0: $i] :
( r1_tarski(k2_relat_1(k7_relat_1(sK356(sK138),X0)),sK138)
| ~ v1_relat_1(sK356(sK138)) ),
inference(superposition,[status(thm)],[c_183643,c_1922]) ).
tcf(c_199459,plain,
! [X0: $i] :
( r1_tarski(k2_relat_1(k7_relat_1(sK356(sK143),X0)),sK143)
| ~ v1_relat_1(sK356(sK143)) ),
inference(superposition,[status(thm)],[c_183649,c_1922]) ).
tcf(c_199460,plain,
! [X0: $i] :
( r1_tarski(k2_relat_1(k7_relat_1(sK356(sK357),X0)),sK357)
| ~ v1_relat_1(sK356(sK357)) ),
inference(superposition,[status(thm)],[c_183650,c_1922]) ).
tcf(c_199461,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k2_relat_1(k7_relat_1(X0,X1)),k2_relat_1(X0)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1922,c_1145]) ).
tcf(c_199462,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k2_relat_1(k7_relat_1(X0,X1)),k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1922,c_719]) ).
tcf(c_199463,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k2_relat_1(k7_relat_1(X0,X1)),k2_relat_1(X0)) = k2_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1922,c_535]) ).
tcf(c_199464,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ v5_membered(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1922,c_2333]) ).
tcf(c_199465,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ v2_membered(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1922,c_2241]) ).
tcf(c_199466,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ v3_membered(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1922,c_2215]) ).
tcf(c_199467,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ v4_membered(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1922,c_2107]) ).
tcf(c_199468,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ v1_membered(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1922,c_1733]) ).
tcf(c_199469,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ v1_finset_1(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1922,c_802]) ).
tcf(c_199470,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1922,c_377]) ).
tcf(c_199471,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(k2_relat_1(X0),k2_relat_1(k7_relat_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_1922,c_376]) ).
tcf(c_199490,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_relat_1(k7_relat_1(k6_partfun1(X0),X1)),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_199456,c_2834]) ).
tcf(c_199514,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k2_relat_1(X0),k2_relat_1(k7_relat_1(X0,X1))) = k2_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(theory_normalisation,[status(thm)],[c_199463,c_543,c_546,c_3131,c_3133]) ).
tcf(c_199540,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k2_xboole_0(X0,X1),k1_relat_1(k2_xboole_0(X0,X1))) = k2_xboole_0(X0,X1) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_498,c_1923]) ).
tcf(c_199541,plain,
k7_relat_1(sK90,k1_relat_1(sK90)) = sK90,
inference(superposition,[status(thm)],[c_437,c_1923]) ).
tcf(c_199542,plain,
k7_relat_1(np__0,k1_relat_1(np__0)) = np__0,
inference(superposition,[status(thm)],[c_2077,c_1923]) ).
tcf(c_199543,plain,
! [X0: $i,X1: $i] : k7_relat_1(k2_zfmisc_1(X0,X1),k1_relat_1(k2_zfmisc_1(X0,X1))) = k2_zfmisc_1(X0,X1),
inference(superposition,[status(thm)],[c_623,c_1923]) ).
tcf(c_199544,plain,
k7_relat_1(sK119,k1_relat_1(sK119)) = sK119,
inference(superposition,[status(thm)],[c_633,c_1923]) ).
tcf(c_199545,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK121(X0),k1_relat_1(sK121(X0))) = sK121(X0) ) ),
inference(superposition,[status(thm)],[c_650,c_1923]) ).
tcf(c_199546,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK120(X0),k1_relat_1(sK120(X0))) = sK120(X0) ) ),
inference(superposition,[status(thm)],[c_652,c_1923]) ).
tcf(c_199547,plain,
k7_relat_1(sK138,k1_relat_1(sK138)) = sK138,
inference(superposition,[status(thm)],[c_781,c_1923]) ).
tcf(c_199548,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK146(X0,X1),k1_relat_1(sK146(X0,X1))) = sK146(X0,X1) ) ),
inference(superposition,[status(thm)],[c_840,c_1923]) ).
tcf(c_199549,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK147(X0,X1),k1_relat_1(sK147(X0,X1))) = sK147(X0,X1) ) ),
inference(superposition,[status(thm)],[c_847,c_1923]) ).
tcf(c_199550,plain,
! [X0: $i] :
( ( k7_relat_1(k1_relat_1(X0),k1_relat_1(k1_relat_1(X0))) = k1_relat_1(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_873,c_1923]) ).
tcf(c_199551,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k5_relat_1(X1,X0),k1_relat_1(k5_relat_1(X1,X0))) = k5_relat_1(X1,X0) )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_986,c_1923]) ).
tcf(c_199552,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k5_relat_1(X0,X1),k1_relat_1(k5_relat_1(X0,X1))) = k5_relat_1(X0,X1) )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_988,c_1923]) ).
tcf(c_199553,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k5_relat_1(X0,X1),k1_relat_1(k5_relat_1(X0,X1))) = k5_relat_1(X0,X1) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_959,c_1923]) ).
tcf(c_199556,plain,
! [X0: $i] :
( ( k7_relat_1(k2_relat_1(X0),k1_relat_1(k2_relat_1(X0))) = k2_relat_1(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1007,c_1923]) ).
tcf(c_199557,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k4_xboole_0(X0,X1),k1_relat_1(k4_xboole_0(X0,X1))) = k4_xboole_0(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1124,c_1923]) ).
tcf(c_199558,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k1_realset1(X0,X1),k1_relat_1(k1_realset1(X0,X1))) = k1_realset1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1593,c_1923]) ).
tcf(c_199559,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK276(X0,X1),k1_relat_1(sK276(X0,X1))) = sK276(X0,X1),
inference(superposition,[status(thm)],[c_1615,c_1923]) ).
tcf(c_199560,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK277(X0,X1),k1_relat_1(sK277(X0,X1))) = sK277(X0,X1),
inference(superposition,[status(thm)],[c_1619,c_1923]) ).
tcf(c_199561,plain,
k7_relat_1(sK336,k1_relat_1(sK336)) = sK336,
inference(superposition,[status(thm)],[c_1830,c_1923]) ).
tcf(c_199562,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k7_relat_1(X0,X1),k1_relat_1(k7_relat_1(X0,X1))) = k7_relat_1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1905,c_1923]) ).
tcf(c_199563,plain,
! [X0: $i] :
( ( k7_relat_1(sK356(X0),k1_relat_1(sK356(X0))) = sK356(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2069,c_1923]) ).
tcf(c_199564,plain,
k7_relat_1(sK357,k1_relat_1(sK357)) = sK357,
inference(superposition,[status(thm)],[c_2081,c_1923]) ).
tcf(c_199565,plain,
! [X0: $i] : k7_relat_1(sK358(X0),k1_relat_1(sK358(X0))) = sK358(X0),
inference(superposition,[status(thm)],[c_2086,c_1923]) ).
tcf(c_199566,plain,
k7_relat_1(sK359,k1_relat_1(sK359)) = sK359,
inference(superposition,[status(thm)],[c_2091,c_1923]) ).
tcf(c_199567,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(sK394(X0,X1),k1_relat_1(sK394(X0,X1))) = sK394(X0,X1) )
| ~ sP22(X0,X1) ),
inference(superposition,[status(thm)],[c_2446,c_1923]) ).
tcf(c_199568,plain,
! [X0: $i] : k7_relat_1(k6_partfun1(X0),k1_relat_1(k6_partfun1(X0))) = k6_partfun1(X0),
inference(superposition,[status(thm)],[c_2834,c_1923]) ).
tcf(c_199569,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k8_relat_1(X1,X0),k1_relat_1(k8_relat_1(X1,X0))) = k8_relat_1(X1,X0) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3870,c_1923]) ).
tcf(c_199570,plain,
! [X0: $i] :
( ( k7_relat_1(k4_relat_1(X0),k1_relat_1(k4_relat_1(X0))) = k4_relat_1(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3937,c_1923]) ).
tcf(c_199571,plain,
! [X0: $i] :
( ( k7_relat_1(k4_relat_1(X0),k1_relat_1(k4_relat_1(X0))) = k4_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3921,c_1923]) ).
tcf(c_199572,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k1_setfam_1(k2_tarski(X1,X0)),k1_relat_1(k1_setfam_1(k2_tarski(X1,X0)))) = k1_setfam_1(k2_tarski(X1,X0)) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_49629,c_1923]) ).
tcf(c_199573,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK43(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_relat_1(sK43(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) = sK43(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(superposition,[status(thm)],[c_174999,c_1923]) ).
tcf(c_199574,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_relat_1(sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) = sK87(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(superposition,[status(thm)],[c_184685,c_1923]) ).
tcf(c_199575,plain,
( ( k7_relat_1(sK87(k1_zfmisc_1(u1_struct_0(sK42))),k1_relat_1(sK87(k1_zfmisc_1(u1_struct_0(sK42))))) = sK87(k1_zfmisc_1(u1_struct_0(sK42))) )
| ~ v1_relat_1(u1_struct_0(sK42)) ),
inference(superposition,[status(thm)],[c_176212,c_1923]) ).
tcf(c_199576,plain,
! [X0: $i] :
( ( k7_relat_1(sK43(X0),k1_relat_1(sK43(X0))) = sK43(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_178197,c_1923]) ).
tcf(c_199577,plain,
k7_relat_1(sK135(sK138),k1_relat_1(sK135(sK138))) = sK135(sK138),
inference(superposition,[status(thm)],[c_179066,c_1923]) ).
tcf(c_199578,plain,
( ( k7_relat_1(sK135(sK143),k1_relat_1(sK135(sK143))) = sK135(sK143) )
| ~ v1_relat_1(sK143) ),
inference(superposition,[status(thm)],[c_179191,c_1923]) ).
tcf(c_199579,plain,
k7_relat_1(sK135(sK357),k1_relat_1(sK135(sK357))) = sK135(sK357),
inference(superposition,[status(thm)],[c_181345,c_1923]) ).
tcf(c_199580,plain,
! [X0: $i] : k7_relat_1(sK319(X0,X0),k1_relat_1(sK319(X0,X0))) = sK319(X0,X0),
inference(superposition,[status(thm)],[c_199027,c_1923]) ).
tcf(c_199581,plain,
! [X0: $i] : k7_relat_1(sK319(np__0,X0),k1_relat_1(sK319(np__0,X0))) = sK319(np__0,X0),
inference(superposition,[status(thm)],[c_199037,c_1923]) ).
tcf(c_199583,plain,
! [X0: $i] : k7_relat_1(k6_partfun1(X0),X0) = k6_partfun1(X0),
inference(light_normalisation,[status(thm)],[c_199568,c_2853]) ).
tcf(c_199744,plain,
( r1_tarski(k1_relat_1(np__0),k1_relat_1(np__0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_1910,c_1928]) ).
tcf(c_199745,plain,
( r1_tarski(k1_relat_1(np__0),k1_relat_1(sK90))
| ~ v1_relat_1(sK90) ),
inference(superposition,[status(thm)],[c_182776,c_1928]) ).
tcf(c_199746,plain,
( r1_tarski(k1_relat_1(np__0),k1_relat_1(sK119))
| ~ v1_relat_1(sK119) ),
inference(superposition,[status(thm)],[c_182779,c_1928]) ).
tcf(c_199747,plain,
( r1_tarski(k1_relat_1(np__0),k1_relat_1(sK138))
| ~ v1_relat_1(sK138) ),
inference(superposition,[status(thm)],[c_182782,c_1928]) ).
tcf(c_199748,plain,
( r1_tarski(k1_relat_1(np__0),k1_relat_1(sK336))
| ~ v1_relat_1(sK336) ),
inference(superposition,[status(thm)],[c_182793,c_1928]) ).
tcf(c_199749,plain,
( r1_tarski(k1_relat_1(np__0),k1_relat_1(sK357))
| ~ v1_relat_1(sK357) ),
inference(superposition,[status(thm)],[c_182796,c_1928]) ).
tcf(c_199750,plain,
( r1_tarski(k1_relat_1(np__0),k1_relat_1(sK359))
| ~ v1_relat_1(sK359) ),
inference(superposition,[status(thm)],[c_182798,c_1928]) ).
tcf(c_199751,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(k7_relat_1(sK120(X0),X1)),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(sK120(X0)) ),
inference(superposition,[status(thm)],[c_648,c_1928]) ).
tcf(c_199752,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(k7_relat_1(sK121(X0),X1)),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(sK121(X0)) ),
inference(superposition,[status(thm)],[c_649,c_1928]) ).
tcf(c_199753,plain,
! [X0: $i] :
( r1_tarski(k1_relat_1(k7_relat_1(np__0,X0)),np__0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_865,c_1928]) ).
tcf(c_199754,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(k7_relat_1(k6_partfun1(X0),X1)),X0)
| ~ v1_relat_1(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2853,c_1928]) ).
tcf(c_199755,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k1_relat_1(k7_relat_1(X0,X1)),k1_relat_1(X0)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1928,c_1145]) ).
tcf(c_199756,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k1_relat_1(k7_relat_1(X0,X1)),k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1928,c_719]) ).
tcf(c_199757,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k1_relat_1(k7_relat_1(X0,X1)),k1_relat_1(X0)) = k1_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1928,c_535]) ).
tcf(c_199758,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ v5_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1928,c_2333]) ).
tcf(c_199759,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ v2_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1928,c_2241]) ).
tcf(c_199760,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ v3_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1928,c_2215]) ).
tcf(c_199761,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ v4_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1928,c_2107]) ).
tcf(c_199762,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ v1_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1928,c_1733]) ).
tcf(c_199763,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ v1_finset_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1928,c_802]) ).
tcf(c_199764,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1928,c_377]) ).
tcf(c_199765,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(k1_relat_1(X0),k1_relat_1(k7_relat_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_1928,c_376]) ).
tcf(c_199776,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_relat_1(k7_relat_1(k6_partfun1(X0),X1)),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_199754,c_2834]) ).
tcf(c_199800,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k1_relat_1(X0),k1_relat_1(k7_relat_1(X0,X1))) = k1_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(theory_normalisation,[status(thm)],[c_199757,c_543,c_546,c_3131,c_3133]) ).
fof(f9302,definition,
! [X0,X1] :
( sP0(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,[sP0])],[predicate_definition_introduction]) ).
fof(f9303,definition,
! [X1,X0] :
( ~ sP1(X1,X0)
| ( v3_pre_topc(X1,X0)
<=> sP0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f9304,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| sP1(X1,X0) ) ),
inference(definition_folding,[],[f6583,f9303,f9302]) ).
fof(f9305,definition,
! [X0,X1,X2] :
( sP2(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,[sP2])],[predicate_definition_introduction]) ).
fof(f9306,definition,
! [X2,X1,X0] :
( ~ sP3(X2,X1,X0)
| ( X2 = k6_pre_topc(X0,X1)
<=> sP2(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f9307,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)))
| sP3(X2,X1,X0) ) ) ),
inference(definition_folding,[],[f6605,f9306,f9305]) ).
fof(f9308,definition,
! [X1,X0] :
( sP4(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,[sP4])],[predicate_definition_introduction]) ).
fof(f9309,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)
<=> ( sP4(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,[],[f6838,f9308]) ).
fof(f9310,definition,
! [X1,X0,X2] :
( sP5(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,[sP5])],[predicate_definition_introduction]) ).
fof(f9311,definition,
! [X2,X0,X1] :
( ~ sP6(X2,X0,X1)
| ( X2 = k8_filter_0(X0,X1)
<=> sP5(X1,X0,X2) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f9312,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)
| sP6(X2,X0,X1) ) ) ),
inference(definition_folding,[],[f6899,f9311,f9310]) ).
fof(f9313,definition,
! [X0] :
( sP7(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,[sP7])],[predicate_definition_introduction]) ).
fof(f9314,definition,
! [X0] :
( ~ sP8(X0)
| ( v2_funct_1(X0)
<=> sP7(X0) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f9315,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| sP8(X0) ),
inference(definition_folding,[],[f7176,f9314,f9313]) ).
fof(f9316,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(f9317,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,[],[f7254,f9316]) ).
fof(f9318,definition,
! [X0,X2,X1] :
( sP10(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,[sP10])],[predicate_definition_introduction]) ).
fof(f9319,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)
<=> ( sP10(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,[],[f7408,f9318]) ).
fof(f9320,definition,
! [X0,X1] :
( sP11(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,[sP11])],[predicate_definition_introduction]) ).
fof(f9321,definition,
! [X1,X0] :
( ~ sP12(X1,X0)
| ( sP11(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,[sP12])],[predicate_definition_introduction]) ).
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)
| sP12(X1,X0) ) ),
inference(definition_folding,[],[f7454,f9321,f9320]) ).
fof(f9323,definition,
! [X0,X1] :
( sP13(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,[sP13])],[predicate_definition_introduction]) ).
fof(f9324,definition,
! [X1,X0] :
( ~ sP14(X1,X0)
| ( sP13(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,[sP14])],[predicate_definition_introduction]) ).
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)
| sP14(X1,X0) ) ),
inference(definition_folding,[],[f7462,f9324,f9323]) ).
fof(f9326,definition,
! [X1,X0] :
( ~ sP15(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,[sP15])],[predicate_definition_introduction]) ).
fof(f9327,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP15(X1,X0) ),
inference(definition_folding,[],[f7466,f9326]) ).
fof(f9328,definition,
! [X0] :
( ~ sP16(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,[sP16])],[predicate_definition_introduction]) ).
fof(f9329,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP16(X0) ),
inference(definition_folding,[],[f7512,f9328]) ).
fof(f9330,definition,
! [X1,X0] :
( ~ sP17(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,[sP17])],[predicate_definition_introduction]) ).
fof(f9331,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP17(X1,X0) ),
inference(definition_folding,[],[f7516,f9330]) ).
fof(f9332,definition,
! [X0,X2] :
( ~ sP18(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,[sP18])],[predicate_definition_introduction]) ).
fof(f9333,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 )
| sP18(X0,X2) ),
inference(definition_folding,[],[f7715,f9332]) ).
fof(f9334,definition,
! [X0,X2,X1] :
( sP19(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,[sP19])],[predicate_definition_introduction]) ).
fof(f9335,definition,
! [X1,X2,X0] :
( ~ sP20(X1,X2,X0)
| ( X2 = k9_rlvect_1(X0,X1)
<=> sP19(X0,X2,X1) ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f9336,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))
| sP20(X1,X2,X0) ) ) ),
inference(definition_folding,[],[f8116,f9335,f9334]) ).
fof(f9337,definition,
! [X2,X3] :
( sP21(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,[sP21])],[predicate_definition_introduction]) ).
fof(f9338,definition,
! [X0,X1] :
( sP22(X0,X1)
<=> ? [X2] :
( ? [X3] :
( sP21(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,[sP22])],[predicate_definition_introduction]) ).
fof(f9339,definition,
! [X1,X0] :
( ~ sP23(X1,X0)
| ( r2_qc_lang2(X0,X1)
<=> sP22(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f9340,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| sP23(X1,X0) ) ),
inference(definition_folding,[],[f8118,f9339,f9338,f9337]) ).
fof(f9341,definition,
! [X4,X1,X0,X6,X2,X3] :
( sP24(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,[sP24])],[predicate_definition_introduction]) ).
fof(f9342,definition,
! [X1,X0,X5,X3,X2,X4] :
( sP25(X1,X0,X5,X3,X2,X4)
<=> ? [X6] :
( sP24(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,[sP25])],[predicate_definition_introduction]) ).
fof(f9343,definition,
! [X4,X2,X3,X5,X0,X1] :
( ~ sP26(X4,X2,X3,X5,X0,X1)
| ( X5 = k7_setwiseo(X0,X1,X2,X3,X4)
<=> sP25(X1,X0,X5,X3,X2,X4) ) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f9344,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)
| sP26(X4,X2,X3,X5,X0,X1) )
| ( ~ v1_setwiseo(X2,X1)
& X3 = k1_xboole_0 ) ) ) ) ) ),
inference(definition_folding,[],[f8219,f9343,f9342,f9341]) ).
fof(f9345,definition,
! [X0,X1] :
( sP27(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,[sP27])],[predicate_definition_introduction]) ).
fof(f9346,definition,
! [X1,X0] :
( ~ sP28(X1,X0)
| ( sP27(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,[sP28])],[predicate_definition_introduction]) ).
fof(f9347,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sP28(X1,X0) ) ),
inference(definition_folding,[],[f8277,f9346,f9345]) ).
fof(f9348,definition,
! [X0] :
( ~ sP29(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,[sP29])],[predicate_definition_introduction]) ).
fof(f9349,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| sP29(X0) ),
inference(definition_folding,[],[f8279,f9348]) ).
fof(f9350,definition,
! [X0,X1,X2] :
( sP30(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,[sP30])],[predicate_definition_introduction]) ).
fof(f9351,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))) )
& sP30(X0,X1,X2) ) ) ) ) ),
inference(definition_folding,[],[f8331,f9350]) ).
fof(f9352,definition,
! [X0] :
( ~ sP31(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,[sP31])],[predicate_definition_introduction]) ).
fof(f9353,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| sP31(X0) ),
inference(definition_folding,[],[f8487,f9352]) ).
fof(f9354,definition,
! [X0] :
( ~ sP32(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,[sP32])],[predicate_definition_introduction]) ).
fof(f9355,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| sP32(X0) ),
inference(definition_folding,[],[f8489,f9354]) ).
fof(f9356,definition,
! [X0] :
( ~ sP33(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_group_1(X0,k1_group_1(X0,X1,X2),X3) != k1_group_1(X0,X1,k1_group_1(X0,X2,X3)) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f9357,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ? [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
& ( ! [X7] :
( k1_group_1(X0,X7,X4) != X5
| ~ m1_subset_1(X7,u1_struct_0(X0)) )
| ! [X6] :
( k1_group_1(X0,X4,X6) != X5
| ~ m1_subset_1(X6,u1_struct_0(X0)) ) ) ) )
| sP33(X0)
| ( v3_group_1(X0)
& v4_group_1(X0) ) ),
inference(definition_folding,[],[f8689,f9356]) ).
fof(f9358,definition,
! [X0] :
( ~ sP34(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_group_1(X0,k1_group_1(X0,X1,X2),X3) != k1_group_1(X0,X1,k1_group_1(X0,X2,X3)) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f9359,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sP34(X0)
| ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ? [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
& ( ! [X6] :
( k1_group_1(X0,X6,X5) != X4
| k1_group_1(X0,X5,X6) != X4
| ~ m1_subset_1(X6,u1_struct_0(X0)) )
| k1_group_1(X0,X4,X5) != X5
| k1_group_1(X0,X5,X4) != X5 ) ) ) ),
inference(definition_folding,[],[f8691,f9358]) ).
fof(f9360,definition,
! [X0] :
( sP35(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,[sP35])],[predicate_definition_introduction]) ).
fof(f9361,definition,
! [X0] :
( sP36(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,[sP36])],[predicate_definition_introduction]) ).
fof(f9362,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( sP35(X0)
<=> sP36(X0) ) ),
inference(definition_folding,[],[f8770,f9361,f9360]) ).
fof(f9363,definition,
! [X0,X1,X2,X3,X4] :
( sP37(X0,X1,X2,X3,X4)
<=> ! [X5] :
( r2_hidden(X5,X4)
<=> ( X3 = X5
| X2 = X5
| X1 = X5
| X0 = X5 ) ) ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f9364,plain,
! [X0,X1,X2,X3,X4] :
( X4 = k2_enumset1(X0,X1,X2,X3)
<=> sP37(X0,X1,X2,X3,X4) ),
inference(definition_folding,[],[f8812,f9363]) ).
fof(f9365,definition,
! [X0,X1,X2] :
( sP38(X0,X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r1_tarski(k2_relat_1(X4),X1)
& k1_relat_1(X4) = X0
& X3 = X4
& v1_funct_1(X4)
& v1_relat_1(X4) ) ) ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f9366,plain,
! [X0,X1,X2] :
( X2 = k1_funct_2(X0,X1)
<=> sP38(X0,X1,X2) ),
inference(definition_folding,[],[f1710,f9365]) ).
fof(f9367,definition,
! [X4,X3,X2,X1,X0] :
( ~ sP39(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,[sP39])],[predicate_definition_introduction]) ).
fof(f9368,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)
| sP39(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,[],[f9021,f9367]) ).
fof(f9369,definition,
! [X2,X0,X1] :
( sP40(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,[sP40])],[predicate_definition_introduction]) ).
fof(f9370,definition,
! [X1,X0,X2] :
( ~ sP41(X1,X0,X2)
| ( X1 = k8_relat_1(X0,X2)
<=> sP40(X2,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f9371,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| sP41(X1,X0,X2) ) ),
inference(definition_folding,[],[f9146,f9370,f9369]) ).
fof(f9398,plain,
! [X0,X1] :
( ( ~ sP0(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))) ) ) )
| sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f9302]) ).
fof(f9399,plain,
! [X0,X1] :
( ( ~ sP0(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))) ) ) )
| sP0(X0,X1) ) ),
inference(rectify,[],[f9398]) ).
fof(f9400,plain,
! [X0,X1] :
( ( ~ sP0(X0,X1)
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| ( r2_hidden(X5,sK58(X0,X1,X5))
& r1_tarski(sK58(X0,X1,X5),X1)
& v3_pre_topc(sK58(X0,X1,X5),X0)
& m1_subset_1(sK58(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(sK56(X0,X1),X1)
| ( r2_hidden(sK56(X0,X1),sK57(X0,X1))
& r1_tarski(sK57(X0,X1),X1)
& v3_pre_topc(sK57(X0,X1),X0)
& m1_subset_1(sK57(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ~ r2_hidden(sK56(X0,X1),X1)
| ! [X3] :
( ~ r2_hidden(sK56(X0,X1),X3)
| ~ r1_tarski(X3,X1)
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) ) )
| sP0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56,sK57,sK58]),skolemize(X2,sK56(X0,X1)),skolemize(X4,sK57(X0,X1)),skolemize(X7,sK58(X0,X1,X5))],[f9399]) ).
fof(f9415,plain,
! [X0,X1,X2] :
( ( ~ sP2(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) ) ) )
| sP2(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f9305]) ).
fof(f9416,plain,
! [X0,X1,X2] :
( ( ~ sP2(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) ) ) )
| sP2(X0,X1,X2) ) ),
inference(flattening,[],[f9415]) ).
fof(f9417,plain,
! [X0,X1,X2] :
( ( ~ sP2(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) ) ) )
| sP2(X0,X1,X2) ) ),
inference(rectify,[],[f9416]) ).
fof(f9418,plain,
! [X0,X1,X2] :
( ( ~ sP2(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(sK66(X0,X1,X6),k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,sK66(X0,X1,X6))
& r2_hidden(X6,sK66(X0,X1,X6))
& v3_pre_topc(sK66(X0,X1,X6),X0) )
| r2_hidden(X6,X2) ) ) ) )
& ( ( r2_hidden(sK64(X0,X1,X2),u1_struct_0(X0))
& ( r2_hidden(sK64(X0,X1,X2),X2)
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X5)
| ~ r2_hidden(sK64(X0,X1,X2),X5)
| ~ v3_pre_topc(X5,X0) ) )
& ( ~ r2_hidden(sK64(X0,X1,X2),X2)
| ( m1_subset_1(sK65(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,sK65(X0,X1,X2))
& r2_hidden(sK64(X0,X1,X2),sK65(X0,X1,X2))
& v3_pre_topc(sK65(X0,X1,X2),X0) ) ) )
| sP2(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64,sK65,sK66]),skolemize(X3,sK64(X0,X1,X2)),skolemize(X4,sK65(X0,X1,X2)),skolemize(X7,sK66(X0,X1,X6))],[f9417]) ).
fof(f9473,plain,
! [X1,X0] :
( ( ~ sP4(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) ) )
| sP4(X1,X0) ) ),
inference(nnf_transformation,[],[f9308]) ).
fof(f9474,plain,
! [X0,X1] :
( ( ~ sP4(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) ) )
| sP4(X0,X1) ) ),
inference(rectify,[],[f9473]) ).
fof(f9475,plain,
! [X0,X1] :
( ( ~ sP4(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(sK94(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK95(X0,X1),u1_struct_0(X1))
& r3_lattices(X1,sK94(X0,X1),sK95(X0,X1))
& r2_hidden(sK94(X0,X1),X0)
& ~ r2_hidden(sK95(X0,X1),X0) )
| sP4(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK94,sK95]),skolemize(X2,sK94(X0,X1)),skolemize(X3,sK95(X0,X1))],[f9474]) ).
fof(f9501,plain,
! [X1,X0,X2] :
( ( ~ sP5(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) )
| sP5(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f9310]) ).
fof(f9502,plain,
! [X0,X1,X2] :
( ( ~ sP5(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) )
| sP5(X0,X1,X2) ) ),
inference(rectify,[],[f9501]) ).
fof(f9503,plain,
! [X0,X1,X2] :
( ( ~ sP5(X0,X1,X2)
| ( g3_lattices(X0,sK109(X0,X1,X2),sK110(X0,X1,X2)) = X2
& k1_realset1(u1_lattices(X1),X0) = sK110(X0,X1,X2)
& k1_realset1(u2_lattices(X1),X0) = sK109(X0,X1,X2)
& m2_relset_1(sK110(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(sK110(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK110(X0,X1,X2))
& m2_relset_1(sK109(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(sK109(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK109(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) )
| sP5(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK109,sK110]),skolemize(X5,sK109(X0,X1,X2)),skolemize(X6,sK110(X0,X1,X2))],[f9502]) ).
fof(f9580,plain,
! [X0] :
( ( ~ sP7(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 ) )
| sP7(X0) ) ),
inference(nnf_transformation,[],[f9313]) ).
fof(f9581,plain,
! [X0] :
( ( ~ sP7(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 ) )
| sP7(X0) ) ),
inference(rectify,[],[f9580]) ).
fof(f9582,plain,
! [X0] :
( ( ~ sP7(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(sK164(X0))
& v1_relat_1(sK164(X0))
& v1_funct_1(sK165(X0))
& v1_relat_1(sK165(X0))
& k5_relat_1(sK164(X0),X0) = k5_relat_1(sK165(X0),X0)
& k1_relat_1(sK164(X0)) = k1_relat_1(sK165(X0))
& r1_tarski(k2_relat_1(sK165(X0)),k1_relat_1(X0))
& r1_tarski(k2_relat_1(sK164(X0)),k1_relat_1(X0))
& sK164(X0) != sK165(X0) )
| sP7(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK164,sK165]),skolemize(X1,sK164(X0)),skolemize(X2,sK165(X0))],[f9581]) ).
fof(f9599,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,[],[f9316]) ).
fof(f9600,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,[],[f9599]) ).
fof(f9601,plain,
! [X0] :
( ~ sP9(X0)
| ( r2_hidden(k4_tarski(sK185(X0),sK187(X0)),X0)
& r2_hidden(k4_tarski(sK185(X0),sK186(X0)),X0)
& sK186(X0) != sK187(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK185,sK186,sK187]),skolemize(X1,sK185(X0)),skolemize(X2,sK186(X0)),skolemize(X3,sK187(X0))],[f9600]) ).
fof(f9706,plain,
! [X0,X2,X1] :
( ( ~ sP10(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)) )
| sP10(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f9318]) ).
fof(f9707,plain,
! [X0,X1,X2] :
( ( ~ sP10(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)) )
| sP10(X0,X1,X2) ) ),
inference(rectify,[],[f9706]) ).
fof(f9708,plain,
! [X0,X1,X2] :
( ( ~ sP10(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(sK258(X0,X1,X2),k1_numbers,k5_numbers)
& r2_hidden(sK258(X0,X1,X2),k4_finseq_1(X2))
& k1_funct_1(X2,sK258(X0,X1,X2)) != k1_funct_1(X1,k1_nat_1(k3_finseq_1(X0),sK258(X0,X1,X2))) )
| sP10(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK258]),skolemize(X3,sK258(X0,X1,X2))],[f9707]) ).
fof(f9725,plain,
! [X0,X1] :
( ( ~ sP11(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)
| sP11(X0,X1) ) ),
inference(nnf_transformation,[],[f9320]) ).
fof(f9726,plain,
! [X0,X1] :
( ( ~ sP11(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)
| sP11(X0,X1) ) ),
inference(flattening,[],[f9725]) ).
fof(f9736,plain,
! [X0,X1] :
( ( ~ sP13(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)
| sP13(X0,X1) ) ),
inference(nnf_transformation,[],[f9323]) ).
fof(f9737,plain,
! [X0,X1] :
( ( ~ sP13(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)
| sP13(X0,X1) ) ),
inference(flattening,[],[f9736]) ).
fof(f9738,plain,
! [X1,X0] :
( ~ sP15(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,[],[f9326]) ).
fof(f9739,plain,
! [X0,X1] :
( ~ sP15(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,[],[f9738]) ).
fof(f9750,plain,
! [X0] :
( ~ sP16(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,[],[f9328]) ).
fof(f9751,plain,
! [X1,X0] :
( ~ sP17(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,[],[f9330]) ).
fof(f9752,plain,
! [X0,X1] :
( ~ sP17(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,[],[f9751]) ).
fof(f9840,plain,
! [X0,X2] :
( ~ sP18(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,[],[f9332]) ).
fof(f9841,plain,
! [X0,X1] :
( ~ sP18(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,[],[f9840]) ).
fof(f9842,plain,
! [X0,X1] :
( ~ sP18(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,sK322(X0,X1)) = k1_funct_1(X1,sK323(X0,X1))
& r2_hidden(sK323(X0,X1),X0)
& r2_hidden(sK322(X0,X1),X0)
& sK322(X0,X1) != sK323(X0,X1) )
| v2_funct_1(X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK322,sK323]),skolemize(X2,sK322(X0,X1)),skolemize(X3,sK323(X0,X1))],[f9841]) ).
fof(f9986,plain,
! [X0,X2,X1] :
( ( ~ sP19(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) )
| sP19(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f9334]) ).
fof(f9987,plain,
! [X0,X1,X2] :
( ( ~ sP19(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) )
| sP19(X0,X1,X2) ) ),
inference(rectify,[],[f9986]) ).
fof(f9988,plain,
! [X0,X1,X2] :
( ( ~ sP19(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),sK392(X0,X1,X2),k1_nat_1(X7,np__1)) = k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),sK392(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),sK392(X0,X1,X2),np__0)
& k8_funct_2(k5_numbers,u1_struct_0(X0),sK392(X0,X1,X2),k3_finseq_1(X2)) = X1
& m2_relset_1(sK392(X0,X1,X2),k5_numbers,u1_struct_0(X0))
& v1_funct_2(sK392(X0,X1,X2),k5_numbers,u1_struct_0(X0))
& v1_funct_1(sK392(X0,X1,X2)) ) )
& ( ! [X3] :
( ( m2_subset_1(sK390(X0,X2,X3),k1_numbers,k5_numbers)
& m1_subset_1(sK391(X0,X2,X3),u1_struct_0(X0))
& sK391(X0,X2,X3) = k1_funct_1(X2,k1_nat_1(sK390(X0,X2,X3),np__1))
& k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k1_nat_1(sK390(X0,X2,X3),np__1)) != k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,sK390(X0,X2,X3)),sK391(X0,X2,X3))
& ~ r1_xreal_0(k3_finseq_1(X2),sK390(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) )
| sP19(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK390,sK391,sK392]),skolemize(X4,sK390(X0,X2,X3)),skolemize(X5,sK391(X0,X2,X3)),skolemize(X6,sK392(X0,X1,X2))],[f9987]) ).
fof(f9994,plain,
! [X2,X3] :
( ( ~ sP21(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) )
| sP21(X2,X3) ) ),
inference(nnf_transformation,[],[f9337]) ).
fof(f9995,plain,
! [X0,X1] :
( ( ~ sP21(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) )
| sP21(X0,X1) ) ),
inference(rectify,[],[f9994]) ).
fof(f9996,plain,
! [X0,X1] :
( ( ~ sP21(X0,X1)
| ! [X5] :
( ~ m2_subset_1(X5,k1_numbers,k5_numbers)
| ( m1_subset_1(sK396(X1,X5),k8_qc_lang1)
& m1_subset_1(sK397(X1,X5),k8_qc_lang1)
& r1_qc_lang2(sK396(X1,X5),sK397(X1,X5))
& k1_funct_1(X1,k1_nat_1(X5,np__1)) = sK397(X1,X5)
& k1_funct_1(X1,X5) = sK396(X1,X5) )
| r1_xreal_0(X0,X5)
| ~ r1_xreal_0(np__1,X5) ) )
& ( ( m2_subset_1(sK395(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(sK395(X0,X1),np__1)) != X4
| k1_funct_1(X1,sK395(X0,X1)) != X3 ) )
& ~ r1_xreal_0(X0,sK395(X0,X1))
& r1_xreal_0(np__1,sK395(X0,X1)) )
| sP21(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK395,sK396,sK397]),skolemize(X2,sK395(X0,X1)),skolemize(X6,sK396(X1,X5)),skolemize(X7,sK397(X1,X5))],[f9995]) ).
fof(f10019,plain,
! [X4,X1,X0,X6,X2,X3] :
( ( ~ sP24(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 )
| sP24(X4,X1,X0,X6,X2,X3) ) ),
inference(nnf_transformation,[],[f9341]) ).
fof(f10020,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ sP24(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 )
| sP24(X0,X1,X2,X3,X4,X5) ) ),
inference(rectify,[],[f10019]) ).
fof(f10021,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ sP24(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(sK411(X0,X1,X2,X3,X4,X5),k5_finsub_1(X2))
& r1_tarski(sK411(X0,X1,X2,X3,X4,X5),X5)
& m1_subset_1(sK412(X0,X1,X2,X3,X4,X5),X2)
& r2_hidden(sK412(X0,X1,X2,X3,X4,X5),X5)
& k8_funct_2(k5_finsub_1(X2),X1,X3,k5_setwiseo(X2,sK411(X0,X1,X2,X3,X4,X5),k2_setwiseo(X2,sK412(X0,X1,X2,X3,X4,X5)))) != k2_binop_1(X1,X1,X1,X4,k8_funct_2(k5_finsub_1(X2),X1,X3,sK411(X0,X1,X2,X3,X4,X5)),k8_funct_2(X2,X1,X0,sK412(X0,X1,X2,X3,X4,X5)))
& k1_xboole_0 != sK411(X0,X1,X2,X3,X4,X5) )
| sP24(X0,X1,X2,X3,X4,X5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK411,sK412]),skolemize(X6,sK411(X0,X1,X2,X3,X4,X5)),skolemize(X7,sK412(X0,X1,X2,X3,X4,X5))],[f10020]) ).
fof(f10041,plain,
! [X0,X1] :
( ( ~ sP27(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)
| sP27(X0,X1) ) ),
inference(nnf_transformation,[],[f9345]) ).
fof(f10042,plain,
! [X0,X1] :
( ( ~ sP27(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)
| sP27(X0,X1) ) ),
inference(flattening,[],[f10041]) ).
fof(f10043,plain,
! [X0] :
( ~ sP29(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,[],[f9348]) ).
fof(f10054,plain,
! [X0,X1,X2] :
( ( ~ sP30(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 ) ) )
| sP30(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f9350]) ).
fof(f10055,plain,
! [X0,X1,X2] :
( ( ~ sP30(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 ) ) )
| sP30(X0,X1,X2) ) ),
inference(rectify,[],[f10054]) ).
fof(f10056,plain,
! [X0,X1,X2] :
( ( ~ sP30(X0,X1,X2)
| ! [X12] :
( ( ~ r2_hidden(X12,k1_relat_1(X2))
| ( r2_hidden(k4_tarski(sK434(X0,X1,X12),sK435(X0,X1,X12)),k1_relat_1(X1))
& r2_hidden(k4_tarski(sK432(X0,X1,X12),sK433(X0,X1,X12)),k1_relat_1(X0))
& k4_tarski(k4_tarski(sK432(X0,X1,X12),sK434(X0,X1,X12)),k4_tarski(sK433(X0,X1,X12),sK435(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(sK427(X0,X1,X2),k1_relat_1(X2))
| ( r2_hidden(k4_tarski(sK430(X0,X1,X2),sK431(X0,X1,X2)),k1_relat_1(X1))
& r2_hidden(k4_tarski(sK428(X0,X1,X2),sK429(X0,X1,X2)),k1_relat_1(X0))
& sK427(X0,X1,X2) = k4_tarski(k4_tarski(sK428(X0,X1,X2),sK430(X0,X1,X2)),k4_tarski(sK429(X0,X1,X2),sK431(X0,X1,X2))) ) )
& ( ~ r2_hidden(sK427(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)) != sK427(X0,X1,X2) ) ) )
| sP30(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK427,sK428,sK429,sK430,sK431,sK432,sK433,sK434,sK435]),skolemize(X3,sK427(X0,X1,X2)),skolemize(X8,sK428(X0,X1,X2)),skolemize(X9,sK429(X0,X1,X2)),skolemize(X10,sK430(X0,X1,X2)),skolemize(X11,sK431(X0,X1,X2)),skolemize(X17,sK432(X0,X1,X12)),skolemize(X18,sK433(X0,X1,X12)),skolemize(X19,sK434(X0,X1,X12)),skolemize(X20,sK435(X0,X1,X12))],[f10055]) ).
fof(f10117,plain,
! [X0] :
( ~ sP31(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,[],[f9352]) ).
fof(f10118,plain,
! [X0] :
( ~ sP32(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,[],[f9354]) ).
fof(f10170,plain,
! [X0] :
( ~ sP33(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_group_1(X0,k1_group_1(X0,X1,X2),X3) != k1_group_1(X0,X1,k1_group_1(X0,X2,X3)) ) ) ) ),
inference(nnf_transformation,[],[f9356]) ).
fof(f10171,plain,
! [X0] :
( ~ sP33(X0)
| ( m1_subset_1(sK509(X0),u1_struct_0(X0))
& m1_subset_1(sK510(X0),u1_struct_0(X0))
& m1_subset_1(sK511(X0),u1_struct_0(X0))
& k1_group_1(X0,k1_group_1(X0,sK509(X0),sK510(X0)),sK511(X0)) != k1_group_1(X0,sK509(X0),k1_group_1(X0,sK510(X0),sK511(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK509,sK510,sK511]),skolemize(X1,sK509(X0)),skolemize(X2,sK510(X0)),skolemize(X3,sK511(X0))],[f10170]) ).
fof(f10174,plain,
! [X0] :
( ~ sP34(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_group_1(X0,k1_group_1(X0,X1,X2),X3) != k1_group_1(X0,X1,k1_group_1(X0,X2,X3)) ) ) ) ),
inference(nnf_transformation,[],[f9358]) ).
fof(f10175,plain,
! [X0] :
( ~ sP34(X0)
| ( m1_subset_1(sK514(X0),u1_struct_0(X0))
& m1_subset_1(sK515(X0),u1_struct_0(X0))
& m1_subset_1(sK516(X0),u1_struct_0(X0))
& k1_group_1(X0,k1_group_1(X0,sK514(X0),sK515(X0)),sK516(X0)) != k1_group_1(X0,sK514(X0),k1_group_1(X0,sK515(X0),sK516(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK514,sK515,sK516]),skolemize(X1,sK514(X0)),skolemize(X2,sK515(X0)),skolemize(X3,sK516(X0))],[f10174]) ).
fof(f10193,plain,
! [X0] :
( ( ~ sP35(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) ) ) ) )
| sP35(X0) ) ),
inference(nnf_transformation,[],[f9360]) ).
fof(f10194,plain,
! [X0] :
( ( ~ sP35(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) ) ) ) )
| sP35(X0) ) ),
inference(rectify,[],[f10193]) ).
fof(f10195,plain,
! [X0] :
( ( ~ sP35(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,sK531(X0,X5))
& m1_subset_1(sK531(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(sK528(X0),u1_struct_0(X0))
& m1_subset_1(sK529(X0),u1_struct_0(X0))
& m1_subset_1(sK530(X0),u1_struct_0(X0))
& ( ! [X4] :
( k1_rlvect_1(X0) != k2_rlvect_1(X0,sK528(X0),X4)
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| sK528(X0) != k2_rlvect_1(X0,sK528(X0),k1_rlvect_1(X0))
| k2_rlvect_1(X0,k2_rlvect_1(X0,sK528(X0),sK529(X0)),sK530(X0)) != k2_rlvect_1(X0,sK528(X0),k2_rlvect_1(X0,sK529(X0),sK530(X0)))
| k2_rlvect_1(X0,sK528(X0),sK529(X0)) != k2_rlvect_1(X0,sK529(X0),sK528(X0)) ) )
| sP35(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK528,sK529,sK530,sK531]),skolemize(X1,sK528(X0)),skolemize(X2,sK529(X0)),skolemize(X3,sK530(X0)),skolemize(X8,sK531(X0,X5))],[f10194]) ).
fof(f10209,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ sP37(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 ) ) )
| sP37(X0,X1,X2,X3,X4) ) ),
inference(nnf_transformation,[],[f9363]) ).
fof(f10210,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ sP37(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 ) ) )
| sP37(X0,X1,X2,X3,X4) ) ),
inference(flattening,[],[f10209]) ).
fof(f10211,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ sP37(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 ) ) )
| sP37(X0,X1,X2,X3,X4) ) ),
inference(rectify,[],[f10210]) ).
fof(f10212,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ sP37(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(sK540(X0,X1,X2,X3,X4),X4)
| sK540(X0,X1,X2,X3,X4) = X3
| sK540(X0,X1,X2,X3,X4) = X2
| sK540(X0,X1,X2,X3,X4) = X1
| sK540(X0,X1,X2,X3,X4) = X0 )
& ( ~ r2_hidden(sK540(X0,X1,X2,X3,X4),X4)
| ( sK540(X0,X1,X2,X3,X4) != X3
& sK540(X0,X1,X2,X3,X4) != X2
& sK540(X0,X1,X2,X3,X4) != X1
& sK540(X0,X1,X2,X3,X4) != X0 ) ) )
| sP37(X0,X1,X2,X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK540]),skolemize(X5,sK540(X0,X1,X2,X3,X4))],[f10211]) ).
fof(f10214,plain,
! [X0,X1,X2] :
( ( ~ sP38(X0,X1,X2)
| ! [X3] :
( ( ~ r2_hidden(X3,X2)
| ? [X4] :
( r1_tarski(k2_relat_1(X4),X1)
& k1_relat_1(X4) = X0
& X3 = X4
& v1_funct_1(X4)
& v1_relat_1(X4) ) )
& ( ! [X4] :
( ~ r1_tarski(k2_relat_1(X4),X1)
| k1_relat_1(X4) != X0
| X3 != X4
| ~ v1_funct_1(X4)
| ~ v1_relat_1(X4) )
| r2_hidden(X3,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ? [X4] :
( r1_tarski(k2_relat_1(X4),X1)
& k1_relat_1(X4) = X0
& X3 = X4
& v1_funct_1(X4)
& v1_relat_1(X4) ) )
& ( ~ r2_hidden(X3,X2)
| ! [X4] :
( ~ r1_tarski(k2_relat_1(X4),X1)
| k1_relat_1(X4) != X0
| X3 != X4
| ~ v1_funct_1(X4)
| ~ v1_relat_1(X4) ) ) )
| sP38(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f9365]) ).
fof(f10215,plain,
! [X0,X1,X2] :
( ( ~ sP38(X0,X1,X2)
| ! [X6] :
( ( ~ r2_hidden(X6,X2)
| ? [X8] :
( r1_tarski(k2_relat_1(X8),X1)
& k1_relat_1(X8) = X0
& X6 = X8
& v1_funct_1(X8)
& v1_relat_1(X8) ) )
& ( ! [X7] :
( ~ r1_tarski(k2_relat_1(X7),X1)
| k1_relat_1(X7) != X0
| X6 != X7
| ~ v1_funct_1(X7)
| ~ v1_relat_1(X7) )
| r2_hidden(X6,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ? [X5] :
( r1_tarski(k2_relat_1(X5),X1)
& k1_relat_1(X5) = X0
& X3 = X5
& v1_funct_1(X5)
& v1_relat_1(X5) ) )
& ( ~ r2_hidden(X3,X2)
| ! [X4] :
( ~ r1_tarski(k2_relat_1(X4),X1)
| k1_relat_1(X4) != X0
| X3 != X4
| ~ v1_funct_1(X4)
| ~ v1_relat_1(X4) ) ) )
| sP38(X0,X1,X2) ) ),
inference(rectify,[],[f10214]) ).
fof(f10216,plain,
! [X0,X1,X2] :
( ( ~ sP38(X0,X1,X2)
| ! [X6] :
( ( ~ r2_hidden(X6,X2)
| ( r1_tarski(k2_relat_1(sK543(X0,X1,X6)),X1)
& k1_relat_1(sK543(X0,X1,X6)) = X0
& sK543(X0,X1,X6) = X6
& v1_funct_1(sK543(X0,X1,X6))
& v1_relat_1(sK543(X0,X1,X6)) ) )
& ( ! [X7] :
( ~ r1_tarski(k2_relat_1(X7),X1)
| k1_relat_1(X7) != X0
| X6 != X7
| ~ v1_funct_1(X7)
| ~ v1_relat_1(X7) )
| r2_hidden(X6,X2) ) ) )
& ( ( ( r2_hidden(sK541(X0,X1,X2),X2)
| ( r1_tarski(k2_relat_1(sK542(X0,X1,X2)),X1)
& k1_relat_1(sK542(X0,X1,X2)) = X0
& sK541(X0,X1,X2) = sK542(X0,X1,X2)
& v1_funct_1(sK542(X0,X1,X2))
& v1_relat_1(sK542(X0,X1,X2)) ) )
& ( ~ r2_hidden(sK541(X0,X1,X2),X2)
| ! [X4] :
( ~ r1_tarski(k2_relat_1(X4),X1)
| k1_relat_1(X4) != X0
| sK541(X0,X1,X2) != X4
| ~ v1_funct_1(X4)
| ~ v1_relat_1(X4) ) ) )
| sP38(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK541,sK542,sK543]),skolemize(X3,sK541(X0,X1,X2)),skolemize(X5,sK542(X0,X1,X2)),skolemize(X8,sK543(X0,X1,X6))],[f10215]) ).
fof(f10297,plain,
! [X4,X3,X2,X1,X0] :
( ~ sP39(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,[],[f9367]) ).
fof(f10298,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP39(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,[],[f10297]) ).
fof(f10299,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP39(X0,X1,X2,X3,X4)
| ( m2_relset_1(sK577(X0,X1,X2,X3,X4),X3,X2)
& v1_funct_2(sK577(X0,X1,X2,X3,X4),X3,X2)
& v1_funct_1(sK577(X0,X1,X2,X3,X4))
& k7_funct_2(X4,X3,X2,X1,sK577(X0,X1,X2,X3,X4)) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK577]),skolemize(X5,sK577(X0,X1,X2,X3,X4))],[f10298]) ).
fof(f10319,plain,
! [X2,X0,X1] :
( ( ~ sP40(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)) ) )
| sP40(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f9369]) ).
fof(f10320,plain,
! [X2,X0,X1] :
( ( ~ sP40(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)) ) )
| sP40(X2,X0,X1) ) ),
inference(flattening,[],[f10319]) ).
fof(f10321,plain,
! [X0,X1,X2] :
( ( ~ sP40(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)) ) )
| sP40(X0,X1,X2) ) ),
inference(rectify,[],[f10320]) ).
fof(f10322,plain,
! [X0,X1,X2] :
( ( ~ sP40(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(sK592(X0,X2),k1_relat_1(X2))
& k1_funct_1(X0,sK592(X0,X2)) != k1_funct_1(X2,sK592(X0,X2)) )
| ( ( r2_hidden(sK591(X0,X1,X2),k1_relat_1(X2))
| ( r2_hidden(k1_funct_1(X0,sK591(X0,X1,X2)),X1)
& r2_hidden(sK591(X0,X1,X2),k1_relat_1(X0)) ) )
& ( ~ r2_hidden(sK591(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,sK591(X0,X1,X2)),X1)
| ~ r2_hidden(sK591(X0,X1,X2),k1_relat_1(X0)) ) )
| sP40(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK591,sK592]),skolemize(X3,sK591(X0,X1,X2)),skolemize(X4,sK592(X0,X2))],[f10321]) ).
fof(f10457,plain,
! [X0,X1,X5] :
( ~ sP0(X0,X1)
| ~ r2_hidden(X5,X1)
| r2_hidden(X5,sK58(X0,X1,X5)) ),
inference(cnf_transformation,[],[f9400]) ).
fof(f10458,plain,
! [X0,X1,X5] :
( ~ sP0(X0,X1)
| ~ r2_hidden(X5,X1)
| r1_tarski(sK58(X0,X1,X5),X1) ),
inference(cnf_transformation,[],[f9400]) ).
fof(f10459,plain,
! [X0,X1,X5] :
( ~ sP0(X0,X1)
| ~ r2_hidden(X5,X1)
| v3_pre_topc(sK58(X0,X1,X5),X0) ),
inference(cnf_transformation,[],[f9400]) ).
fof(f10460,plain,
! [X0,X1,X5] :
( ~ sP0(X0,X1)
| ~ r2_hidden(X5,X1)
| m1_subset_1(sK58(X0,X1,X5),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9400]) ).
fof(f10462,plain,
! [X0,X1] :
( r2_hidden(sK56(X0,X1),X1)
| r2_hidden(sK56(X0,X1),sK57(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f9400]) ).
fof(f10463,plain,
! [X0,X1] :
( r2_hidden(sK56(X0,X1),X1)
| r1_tarski(sK57(X0,X1),X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f9400]) ).
fof(f10464,plain,
! [X0,X1] :
( r2_hidden(sK56(X0,X1),X1)
| v3_pre_topc(sK57(X0,X1),X0)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f9400]) ).
fof(f10465,plain,
! [X0,X1] :
( r2_hidden(sK56(X0,X1),X1)
| m1_subset_1(sK57(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f9400]) ).
fof(f10466,plain,
! [X3,X0,X1] :
( ~ r2_hidden(sK56(X0,X1),X1)
| ~ r2_hidden(sK56(X0,X1),X3)
| ~ r1_tarski(X3,X1)
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f9400]) ).
fof(f10499,plain,
! [X2,X0,X1,X8,X6] :
( ~ sP2(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,[],[f9418]) ).
fof(f10500,plain,
! [X2,X0,X1,X6] :
( ~ sP2(X0,X1,X2)
| ~ r2_hidden(X6,u1_struct_0(X0))
| m1_subset_1(sK66(X0,X1,X6),k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(X6,X2) ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10501,plain,
! [X2,X0,X1,X6] :
( ~ sP2(X0,X1,X2)
| ~ r2_hidden(X6,u1_struct_0(X0))
| r1_xboole_0(X1,sK66(X0,X1,X6))
| r2_hidden(X6,X2) ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10502,plain,
! [X2,X0,X1,X6] :
( ~ sP2(X0,X1,X2)
| ~ r2_hidden(X6,u1_struct_0(X0))
| r2_hidden(X6,sK66(X0,X1,X6))
| r2_hidden(X6,X2) ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10503,plain,
! [X2,X0,X1,X6] :
( ~ sP2(X0,X1,X2)
| ~ r2_hidden(X6,u1_struct_0(X0))
| v3_pre_topc(sK66(X0,X1,X6),X0)
| r2_hidden(X6,X2) ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10504,plain,
! [X2,X0,X1] :
( r2_hidden(sK64(X0,X1,X2),u1_struct_0(X0))
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10505,plain,
! [X2,X0,X1,X5] :
( r2_hidden(sK64(X0,X1,X2),X2)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X5)
| ~ r2_hidden(sK64(X0,X1,X2),X5)
| ~ v3_pre_topc(X5,X0)
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10506,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK64(X0,X1,X2),X2)
| m1_subset_1(sK65(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10507,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK64(X0,X1,X2),X2)
| r1_xboole_0(X1,sK65(X0,X1,X2))
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10508,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK64(X0,X1,X2),X2)
| r2_hidden(sK64(X0,X1,X2),sK65(X0,X1,X2))
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10509,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK64(X0,X1,X2),X2)
| v3_pre_topc(sK65(X0,X1,X2),X0)
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10780,plain,
! [X0,X1,X4,X5] :
( ~ sP4(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,[],[f9475]) ).
fof(f10781,plain,
! [X0,X1] :
( m1_subset_1(sK94(X0,X1),u1_struct_0(X1))
| sP4(X0,X1) ),
inference(cnf_transformation,[],[f9475]) ).
fof(f10782,plain,
! [X0,X1] :
( m1_subset_1(sK95(X0,X1),u1_struct_0(X1))
| sP4(X0,X1) ),
inference(cnf_transformation,[],[f9475]) ).
fof(f10783,plain,
! [X0,X1] :
( r3_lattices(X1,sK94(X0,X1),sK95(X0,X1))
| sP4(X0,X1) ),
inference(cnf_transformation,[],[f9475]) ).
fof(f10784,plain,
! [X0,X1] :
( r2_hidden(sK94(X0,X1),X0)
| sP4(X0,X1) ),
inference(cnf_transformation,[],[f9475]) ).
fof(f10785,plain,
! [X0,X1] :
( ~ r2_hidden(sK95(X0,X1),X0)
| sP4(X0,X1) ),
inference(cnf_transformation,[],[f9475]) ).
fof(f10906,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| g3_lattices(X0,sK109(X0,X1,X2),sK110(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f9503]) ).
fof(f10907,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| k1_realset1(u1_lattices(X1),X0) = sK110(X0,X1,X2) ),
inference(cnf_transformation,[],[f9503]) ).
fof(f10908,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| k1_realset1(u2_lattices(X1),X0) = sK109(X0,X1,X2) ),
inference(cnf_transformation,[],[f9503]) ).
fof(f10909,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| m2_relset_1(sK110(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9503]) ).
fof(f10910,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| v1_funct_2(sK110(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9503]) ).
fof(f10911,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| v1_funct_1(sK110(X0,X1,X2)) ),
inference(cnf_transformation,[],[f9503]) ).
fof(f10912,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| m2_relset_1(sK109(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9503]) ).
fof(f10913,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| v1_funct_2(sK109(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9503]) ).
fof(f10914,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| v1_funct_1(sK109(X0,X1,X2)) ),
inference(cnf_transformation,[],[f9503]) ).
fof(f10915,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)
| sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f9503]) ).
fof(f11261,plain,
! [X3,X0,X4] :
( ~ sP7(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,[],[f9582]) ).
fof(f11262,plain,
! [X0] :
( v1_funct_1(sK164(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f9582]) ).
fof(f11263,plain,
! [X0] :
( v1_relat_1(sK164(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f9582]) ).
fof(f11264,plain,
! [X0] :
( v1_funct_1(sK165(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f9582]) ).
fof(f11265,plain,
! [X0] :
( v1_relat_1(sK165(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f9582]) ).
fof(f11266,plain,
! [X0] :
( k5_relat_1(sK164(X0),X0) = k5_relat_1(sK165(X0),X0)
| sP7(X0) ),
inference(cnf_transformation,[],[f9582]) ).
fof(f11267,plain,
! [X0] :
( k1_relat_1(sK164(X0)) = k1_relat_1(sK165(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f9582]) ).
fof(f11268,plain,
! [X0] :
( r1_tarski(k2_relat_1(sK165(X0)),k1_relat_1(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f9582]) ).
fof(f11269,plain,
! [X0] :
( r1_tarski(k2_relat_1(sK164(X0)),k1_relat_1(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f9582]) ).
fof(f11270,plain,
! [X0] :
( sK164(X0) != sK165(X0)
| sP7(X0) ),
inference(cnf_transformation,[],[f9582]) ).
fof(f11365,plain,
! [X0] :
( ~ sP9(X0)
| r2_hidden(k4_tarski(sK185(X0),sK187(X0)),X0) ),
inference(cnf_transformation,[],[f9601]) ).
fof(f11366,plain,
! [X0] :
( ~ sP9(X0)
| r2_hidden(k4_tarski(sK185(X0),sK186(X0)),X0) ),
inference(cnf_transformation,[],[f9601]) ).
fof(f11367,plain,
! [X0] :
( ~ sP9(X0)
| sK186(X0) != sK187(X0) ),
inference(cnf_transformation,[],[f9601]) ).
fof(f11654,plain,
! [X2,X0,X1,X4] :
( ~ sP10(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,[],[f9708]) ).
fof(f11655,plain,
! [X2,X0,X1] :
( m2_subset_1(sK258(X0,X1,X2),k1_numbers,k5_numbers)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f9708]) ).
fof(f11656,plain,
! [X2,X0,X1] :
( r2_hidden(sK258(X0,X1,X2),k4_finseq_1(X2))
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f9708]) ).
fof(f11657,plain,
! [X2,X0,X1] :
( k1_funct_1(X2,sK258(X0,X1,X2)) != k1_funct_1(X1,k1_nat_1(k3_finseq_1(X0),sK258(X0,X1,X2)))
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f9708]) ).
fof(f11714,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| l3_lattices(X1) ),
inference(cnf_transformation,[],[f9726]) ).
fof(f11715,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| v17_lattices(X1) ),
inference(cnf_transformation,[],[f9726]) ).
fof(f11716,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| v10_lattices(X1) ),
inference(cnf_transformation,[],[f9726]) ).
fof(f11717,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| ~ v3_struct_0(X1) ),
inference(cnf_transformation,[],[f9726]) ).
fof(f11718,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| l3_lattices(X0) ),
inference(cnf_transformation,[],[f9726]) ).
fof(f11719,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| v17_lattices(X0) ),
inference(cnf_transformation,[],[f9726]) ).
fof(f11720,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| v10_lattices(X0) ),
inference(cnf_transformation,[],[f9726]) ).
fof(f11721,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f9726]) ).
fof(f11722,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)
| sP11(X0,X1) ),
inference(cnf_transformation,[],[f9726]) ).
fof(f11738,plain,
! [X0,X1] :
( ~ sP13(X0,X1)
| l3_lattices(X1) ),
inference(cnf_transformation,[],[f9737]) ).
fof(f11739,plain,
! [X0,X1] :
( ~ sP13(X0,X1)
| v11_lattices(X1) ),
inference(cnf_transformation,[],[f9737]) ).
fof(f11740,plain,
! [X0,X1] :
( ~ sP13(X0,X1)
| v10_lattices(X1) ),
inference(cnf_transformation,[],[f9737]) ).
fof(f11741,plain,
! [X0,X1] :
( ~ sP13(X0,X1)
| ~ v3_struct_0(X1) ),
inference(cnf_transformation,[],[f9737]) ).
fof(f11742,plain,
! [X0,X1] :
( ~ sP13(X0,X1)
| l3_lattices(X0) ),
inference(cnf_transformation,[],[f9737]) ).
fof(f11743,plain,
! [X0,X1] :
( ~ sP13(X0,X1)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f9737]) ).
fof(f11744,plain,
! [X0,X1] :
( ~ sP13(X0,X1)
| v10_lattices(X0) ),
inference(cnf_transformation,[],[f9737]) ).
fof(f11745,plain,
! [X0,X1] :
( ~ sP13(X0,X1)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f9737]) ).
fof(f11746,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)
| sP13(X0,X1) ),
inference(cnf_transformation,[],[f9737]) ).
fof(f11754,plain,
! [X0,X1] :
( ~ sP15(X0,X1)
| v10_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9739]) ).
fof(f11755,plain,
! [X0,X1] :
( ~ sP15(X0,X1)
| v9_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9739]) ).
fof(f11756,plain,
! [X0,X1] :
( ~ sP15(X0,X1)
| v8_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9739]) ).
fof(f11757,plain,
! [X0,X1] :
( ~ sP15(X0,X1)
| v7_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9739]) ).
fof(f11758,plain,
! [X0,X1] :
( ~ sP15(X0,X1)
| v6_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9739]) ).
fof(f11759,plain,
! [X0,X1] :
( ~ sP15(X0,X1)
| v5_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9739]) ).
fof(f11760,plain,
! [X0,X1] :
( ~ sP15(X0,X1)
| v4_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9739]) ).
fof(f11761,plain,
! [X0,X1] :
( ~ sP15(X0,X1)
| v3_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9739]) ).
fof(f11762,plain,
! [X0,X1] :
( ~ sP15(X0,X1)
| ~ v3_struct_0(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9739]) ).
fof(f11818,plain,
! [X0] :
( ~ sP16(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9750]) ).
fof(f11819,plain,
! [X0] :
( ~ sP16(X0)
| v9_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9750]) ).
fof(f11820,plain,
! [X0] :
( ~ sP16(X0)
| v8_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9750]) ).
fof(f11821,plain,
! [X0] :
( ~ sP16(X0)
| v7_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9750]) ).
fof(f11822,plain,
! [X0] :
( ~ sP16(X0)
| v6_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9750]) ).
fof(f11823,plain,
! [X0] :
( ~ sP16(X0)
| v5_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9750]) ).
fof(f11824,plain,
! [X0] :
( ~ sP16(X0)
| v4_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9750]) ).
fof(f11825,plain,
! [X0] :
( ~ sP16(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9750]) ).
fof(f11826,plain,
! [X0] :
( ~ sP16(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9750]) ).
fof(f11830,plain,
! [X0,X1] :
( ~ sP17(X0,X1)
| v10_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9752]) ).
fof(f11831,plain,
! [X0,X1] :
( ~ sP17(X0,X1)
| v9_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9752]) ).
fof(f11832,plain,
! [X0,X1] :
( ~ sP17(X0,X1)
| v8_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9752]) ).
fof(f11833,plain,
! [X0,X1] :
( ~ sP17(X0,X1)
| v7_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9752]) ).
fof(f11834,plain,
! [X0,X1] :
( ~ sP17(X0,X1)
| v6_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9752]) ).
fof(f11835,plain,
! [X0,X1] :
( ~ sP17(X0,X1)
| v5_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9752]) ).
fof(f11836,plain,
! [X0,X1] :
( ~ sP17(X0,X1)
| v4_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9752]) ).
fof(f11837,plain,
! [X0,X1] :
( ~ sP17(X0,X1)
| v3_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9752]) ).
fof(f11838,plain,
! [X0,X1] :
( ~ sP17(X0,X1)
| ~ v3_struct_0(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9752]) ).
fof(f12157,plain,
! [X0,X1,X4,X5] :
( ~ sP18(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,[],[f9842]) ).
fof(f12158,plain,
! [X0,X1] :
( ~ sP18(X0,X1)
| k1_funct_1(X1,sK322(X0,X1)) = k1_funct_1(X1,sK323(X0,X1))
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f9842]) ).
fof(f12159,plain,
! [X0,X1] :
( ~ sP18(X0,X1)
| r2_hidden(sK323(X0,X1),X0)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f9842]) ).
fof(f12160,plain,
! [X0,X1] :
( ~ sP18(X0,X1)
| r2_hidden(sK322(X0,X1),X0)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f9842]) ).
fof(f12161,plain,
! [X0,X1] :
( ~ sP18(X0,X1)
| sK322(X0,X1) != sK323(X0,X1)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f9842]) ).
fof(f12800,plain,
! [X2,X0,X1,X8,X7] :
( ~ sP19(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),sK392(X0,X1,X2),k1_nat_1(X7,np__1)) = k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),sK392(X0,X1,X2),X7),X8)
| r1_xreal_0(k3_finseq_1(X2),X7) ),
inference(cnf_transformation,[],[f9988]) ).
fof(f12801,plain,
! [X2,X0,X1] :
( ~ sP19(X0,X1,X2)
| k1_rlvect_1(X0) = k8_funct_2(k5_numbers,u1_struct_0(X0),sK392(X0,X1,X2),np__0) ),
inference(cnf_transformation,[],[f9988]) ).
fof(f12802,plain,
! [X2,X0,X1] :
( ~ sP19(X0,X1,X2)
| k8_funct_2(k5_numbers,u1_struct_0(X0),sK392(X0,X1,X2),k3_finseq_1(X2)) = X1 ),
inference(cnf_transformation,[],[f9988]) ).
fof(f12803,plain,
! [X2,X0,X1] :
( ~ sP19(X0,X1,X2)
| m2_relset_1(sK392(X0,X1,X2),k5_numbers,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f9988]) ).
fof(f12804,plain,
! [X2,X0,X1] :
( ~ sP19(X0,X1,X2)
| v1_funct_2(sK392(X0,X1,X2),k5_numbers,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f9988]) ).
fof(f12805,plain,
! [X2,X0,X1] :
( ~ sP19(X0,X1,X2)
| v1_funct_1(sK392(X0,X1,X2)) ),
inference(cnf_transformation,[],[f9988]) ).
fof(f12806,plain,
! [X2,X3,X0,X1] :
( m2_subset_1(sK390(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)
| sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f9988]) ).
fof(f12807,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(sK391(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)
| sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f9988]) ).
fof(f12808,plain,
! [X2,X3,X0,X1] :
( sK391(X0,X2,X3) = k1_funct_1(X2,k1_nat_1(sK390(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)
| sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f9988]) ).
fof(f12809,plain,
! [X2,X3,X0,X1] :
( k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k1_nat_1(sK390(X0,X2,X3),np__1)) != k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,sK390(X0,X2,X3)),sK391(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)
| sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f9988]) ).
fof(f12810,plain,
! [X2,X3,X0,X1] :
( ~ r1_xreal_0(k3_finseq_1(X2),sK390(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)
| sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f9988]) ).
fof(f12824,plain,
! [X0,X1,X5] :
( ~ sP21(X0,X1)
| ~ m2_subset_1(X5,k1_numbers,k5_numbers)
| m1_subset_1(sK396(X1,X5),k8_qc_lang1)
| r1_xreal_0(X0,X5)
| ~ r1_xreal_0(np__1,X5) ),
inference(cnf_transformation,[],[f9996]) ).
fof(f12825,plain,
! [X0,X1,X5] :
( ~ sP21(X0,X1)
| ~ m2_subset_1(X5,k1_numbers,k5_numbers)
| m1_subset_1(sK397(X1,X5),k8_qc_lang1)
| r1_xreal_0(X0,X5)
| ~ r1_xreal_0(np__1,X5) ),
inference(cnf_transformation,[],[f9996]) ).
fof(f12826,plain,
! [X0,X1,X5] :
( ~ sP21(X0,X1)
| ~ m2_subset_1(X5,k1_numbers,k5_numbers)
| r1_qc_lang2(sK396(X1,X5),sK397(X1,X5))
| r1_xreal_0(X0,X5)
| ~ r1_xreal_0(np__1,X5) ),
inference(cnf_transformation,[],[f9996]) ).
fof(f12827,plain,
! [X0,X1,X5] :
( ~ sP21(X0,X1)
| ~ m2_subset_1(X5,k1_numbers,k5_numbers)
| k1_funct_1(X1,k1_nat_1(X5,np__1)) = sK397(X1,X5)
| r1_xreal_0(X0,X5)
| ~ r1_xreal_0(np__1,X5) ),
inference(cnf_transformation,[],[f9996]) ).
fof(f12828,plain,
! [X0,X1,X5] :
( ~ sP21(X0,X1)
| ~ m2_subset_1(X5,k1_numbers,k5_numbers)
| k1_funct_1(X1,X5) = sK396(X1,X5)
| r1_xreal_0(X0,X5)
| ~ r1_xreal_0(np__1,X5) ),
inference(cnf_transformation,[],[f9996]) ).
fof(f12829,plain,
! [X0,X1] :
( m2_subset_1(sK395(X0,X1),k1_numbers,k5_numbers)
| sP21(X0,X1) ),
inference(cnf_transformation,[],[f9996]) ).
fof(f12830,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(sK395(X0,X1),np__1)) != X4
| k1_funct_1(X1,sK395(X0,X1)) != X3
| sP21(X0,X1) ),
inference(cnf_transformation,[],[f9996]) ).
fof(f12831,plain,
! [X0,X1] :
( ~ r1_xreal_0(X0,sK395(X0,X1))
| sP21(X0,X1) ),
inference(cnf_transformation,[],[f9996]) ).
fof(f12832,plain,
! [X0,X1] :
( r1_xreal_0(np__1,sK395(X0,X1))
| sP21(X0,X1) ),
inference(cnf_transformation,[],[f9996]) ).
fof(f12940,plain,
! [X2,X3,X0,X1,X8,X9,X4,X5] :
( ~ sP24(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,[],[f10021]) ).
fof(f12941,plain,
! [X2,X3,X0,X1,X4,X5] :
( m1_subset_1(sK411(X0,X1,X2,X3,X4,X5),k5_finsub_1(X2))
| sP24(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f10021]) ).
fof(f12942,plain,
! [X2,X3,X0,X1,X4,X5] :
( r1_tarski(sK411(X0,X1,X2,X3,X4,X5),X5)
| sP24(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f10021]) ).
fof(f12943,plain,
! [X2,X3,X0,X1,X4,X5] :
( m1_subset_1(sK412(X0,X1,X2,X3,X4,X5),X2)
| sP24(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f10021]) ).
fof(f12944,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(sK412(X0,X1,X2,X3,X4,X5),X5)
| sP24(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f10021]) ).
fof(f12945,plain,
! [X2,X3,X0,X1,X4,X5] :
( k8_funct_2(k5_finsub_1(X2),X1,X3,k5_setwiseo(X2,sK411(X0,X1,X2,X3,X4,X5),k2_setwiseo(X2,sK412(X0,X1,X2,X3,X4,X5)))) != k2_binop_1(X1,X1,X1,X4,k8_funct_2(k5_finsub_1(X2),X1,X3,sK411(X0,X1,X2,X3,X4,X5)),k8_funct_2(X2,X1,X0,sK412(X0,X1,X2,X3,X4,X5)))
| sP24(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f10021]) ).
fof(f12946,plain,
! [X2,X3,X0,X1,X4,X5] :
( k1_xboole_0 != sK411(X0,X1,X2,X3,X4,X5)
| sP24(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f10021]) ).
fof(f13014,plain,
! [X0,X1] :
( ~ sP27(X0,X1)
| l3_lattices(X1) ),
inference(cnf_transformation,[],[f10042]) ).
fof(f13015,plain,
! [X0,X1] :
( ~ sP27(X0,X1)
| v16_lattices(X1) ),
inference(cnf_transformation,[],[f10042]) ).
fof(f13016,plain,
! [X0,X1] :
( ~ sP27(X0,X1)
| v15_lattices(X1) ),
inference(cnf_transformation,[],[f10042]) ).
fof(f13017,plain,
! [X0,X1] :
( ~ sP27(X0,X1)
| v10_lattices(X1) ),
inference(cnf_transformation,[],[f10042]) ).
fof(f13018,plain,
! [X0,X1] :
( ~ sP27(X0,X1)
| ~ v3_struct_0(X1) ),
inference(cnf_transformation,[],[f10042]) ).
fof(f13019,plain,
! [X0,X1] :
( ~ sP27(X0,X1)
| l3_lattices(X0) ),
inference(cnf_transformation,[],[f10042]) ).
fof(f13020,plain,
! [X0,X1] :
( ~ sP27(X0,X1)
| v16_lattices(X0) ),
inference(cnf_transformation,[],[f10042]) ).
fof(f13021,plain,
! [X0,X1] :
( ~ sP27(X0,X1)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f10042]) ).
fof(f13022,plain,
! [X0,X1] :
( ~ sP27(X0,X1)
| v10_lattices(X0) ),
inference(cnf_transformation,[],[f10042]) ).
fof(f13023,plain,
! [X0,X1] :
( ~ sP27(X0,X1)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f10042]) ).
fof(f13024,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)
| sP27(X0,X1) ),
inference(cnf_transformation,[],[f10042]) ).
fof(f13026,plain,
! [X0] :
( ~ sP29(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f10043]) ).
fof(f13124,plain,
! [X2,X0,X1,X12] :
( ~ sP30(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| r2_hidden(k4_tarski(sK434(X0,X1,X12),sK435(X0,X1,X12)),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f10056]) ).
fof(f13125,plain,
! [X2,X0,X1,X12] :
( ~ sP30(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| r2_hidden(k4_tarski(sK432(X0,X1,X12),sK433(X0,X1,X12)),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f10056]) ).
fof(f13126,plain,
! [X2,X0,X1,X12] :
( ~ sP30(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| k4_tarski(k4_tarski(sK432(X0,X1,X12),sK434(X0,X1,X12)),k4_tarski(sK433(X0,X1,X12),sK435(X0,X1,X12))) = X12 ),
inference(cnf_transformation,[],[f10056]) ).
fof(f13127,plain,
! [X2,X0,X1,X16,X14,X15,X12,X13] :
( ~ sP30(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,[],[f10056]) ).
fof(f13128,plain,
! [X2,X0,X1] :
( r2_hidden(sK427(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k4_tarski(sK430(X0,X1,X2),sK431(X0,X1,X2)),k1_relat_1(X1))
| sP30(X0,X1,X2) ),
inference(cnf_transformation,[],[f10056]) ).
fof(f13129,plain,
! [X2,X0,X1] :
( r2_hidden(sK427(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k4_tarski(sK428(X0,X1,X2),sK429(X0,X1,X2)),k1_relat_1(X0))
| sP30(X0,X1,X2) ),
inference(cnf_transformation,[],[f10056]) ).
fof(f13130,plain,
! [X2,X0,X1] :
( r2_hidden(sK427(X0,X1,X2),k1_relat_1(X2))
| sK427(X0,X1,X2) = k4_tarski(k4_tarski(sK428(X0,X1,X2),sK430(X0,X1,X2)),k4_tarski(sK429(X0,X1,X2),sK431(X0,X1,X2)))
| sP30(X0,X1,X2) ),
inference(cnf_transformation,[],[f10056]) ).
fof(f13131,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ r2_hidden(sK427(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)) != sK427(X0,X1,X2)
| sP30(X0,X1,X2) ),
inference(cnf_transformation,[],[f10056]) ).
fof(f13314,plain,
! [X0] :
( ~ sP31(X0)
| v14_lattices(X0) ),
inference(cnf_transformation,[],[f10117]) ).
fof(f13324,plain,
! [X0] :
( ~ sP32(X0)
| v13_lattices(X0) ),
inference(cnf_transformation,[],[f10118]) ).
fof(f13590,plain,
! [X0] :
( ~ sP33(X0)
| m1_subset_1(sK509(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10171]) ).
fof(f13591,plain,
! [X0] :
( ~ sP33(X0)
| m1_subset_1(sK510(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10171]) ).
fof(f13592,plain,
! [X0] :
( ~ sP33(X0)
| m1_subset_1(sK511(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10171]) ).
fof(f13593,plain,
! [X0] :
( ~ sP33(X0)
| k1_group_1(X0,k1_group_1(X0,sK509(X0),sK510(X0)),sK511(X0)) != k1_group_1(X0,sK509(X0),k1_group_1(X0,sK510(X0),sK511(X0))) ),
inference(cnf_transformation,[],[f10171]) ).
fof(f13600,plain,
! [X0] :
( ~ sP34(X0)
| m1_subset_1(sK514(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10175]) ).
fof(f13601,plain,
! [X0] :
( ~ sP34(X0)
| m1_subset_1(sK515(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10175]) ).
fof(f13602,plain,
! [X0] :
( ~ sP34(X0)
| m1_subset_1(sK516(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10175]) ).
fof(f13603,plain,
! [X0] :
( ~ sP34(X0)
| k1_group_1(X0,k1_group_1(X0,sK514(X0),sK515(X0)),sK516(X0)) != k1_group_1(X0,sK514(X0),k1_group_1(X0,sK515(X0),sK516(X0))) ),
inference(cnf_transformation,[],[f10175]) ).
fof(f13758,plain,
! [X0,X6,X7,X5] :
( ~ sP35(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,sK531(X0,X5)) ),
inference(cnf_transformation,[],[f10195]) ).
fof(f13759,plain,
! [X0,X6,X7,X5] :
( ~ sP35(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(sK531(X0,X5),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10195]) ).
fof(f13760,plain,
! [X0,X6,X7,X5] :
( ~ sP35(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,[],[f10195]) ).
fof(f13761,plain,
! [X0,X6,X7,X5] :
( ~ sP35(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,[],[f10195]) ).
fof(f13762,plain,
! [X0,X6,X7,X5] :
( ~ sP35(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,[],[f10195]) ).
fof(f13763,plain,
! [X0] :
( m1_subset_1(sK528(X0),u1_struct_0(X0))
| sP35(X0) ),
inference(cnf_transformation,[],[f10195]) ).
fof(f13764,plain,
! [X0] :
( m1_subset_1(sK529(X0),u1_struct_0(X0))
| sP35(X0) ),
inference(cnf_transformation,[],[f10195]) ).
fof(f13765,plain,
! [X0] :
( m1_subset_1(sK530(X0),u1_struct_0(X0))
| sP35(X0) ),
inference(cnf_transformation,[],[f10195]) ).
fof(f13766,plain,
! [X0,X4] :
( k1_rlvect_1(X0) != k2_rlvect_1(X0,sK528(X0),X4)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| sK528(X0) != k2_rlvect_1(X0,sK528(X0),k1_rlvect_1(X0))
| k2_rlvect_1(X0,k2_rlvect_1(X0,sK528(X0),sK529(X0)),sK530(X0)) != k2_rlvect_1(X0,sK528(X0),k2_rlvect_1(X0,sK529(X0),sK530(X0)))
| k2_rlvect_1(X0,sK528(X0),sK529(X0)) != k2_rlvect_1(X0,sK529(X0),sK528(X0))
| sP35(X0) ),
inference(cnf_transformation,[],[f10195]) ).
fof(f13837,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ sP37(X0,X1,X2,X3,X4)
| ~ r2_hidden(X6,X4)
| X3 = X6
| X2 = X6
| X1 = X6
| X0 = X6 ),
inference(cnf_transformation,[],[f10212]) ).
fof(f13838,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ sP37(X0,X1,X2,X3,X4)
| X3 != X6
| r2_hidden(X6,X4) ),
inference(cnf_transformation,[],[f10212]) ).
fof(f13839,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ sP37(X0,X1,X2,X3,X4)
| X2 != X6
| r2_hidden(X6,X4) ),
inference(cnf_transformation,[],[f10212]) ).
fof(f13840,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ sP37(X0,X1,X2,X3,X4)
| X1 != X6
| r2_hidden(X6,X4) ),
inference(cnf_transformation,[],[f10212]) ).
fof(f13841,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ sP37(X0,X1,X2,X3,X4)
| X0 != X6
| r2_hidden(X6,X4) ),
inference(cnf_transformation,[],[f10212]) ).
fof(f13842,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK540(X0,X1,X2,X3,X4),X4)
| sK540(X0,X1,X2,X3,X4) = X3
| sK540(X0,X1,X2,X3,X4) = X2
| sK540(X0,X1,X2,X3,X4) = X1
| sK540(X0,X1,X2,X3,X4) = X0
| sP37(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f10212]) ).
fof(f13843,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK540(X0,X1,X2,X3,X4),X4)
| sK540(X0,X1,X2,X3,X4) != X3
| sP37(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f10212]) ).
fof(f13844,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK540(X0,X1,X2,X3,X4),X4)
| sK540(X0,X1,X2,X3,X4) != X2
| sP37(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f10212]) ).
fof(f13845,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK540(X0,X1,X2,X3,X4),X4)
| sK540(X0,X1,X2,X3,X4) != X1
| sP37(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f10212]) ).
fof(f13846,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK540(X0,X1,X2,X3,X4),X4)
| sK540(X0,X1,X2,X3,X4) != X0
| sP37(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f10212]) ).
fof(f13870,plain,
! [X2,X0,X1,X6] :
( ~ sP38(X0,X1,X2)
| ~ r2_hidden(X6,X2)
| r1_tarski(k2_relat_1(sK543(X0,X1,X6)),X1) ),
inference(cnf_transformation,[],[f10216]) ).
fof(f13871,plain,
! [X2,X0,X1,X6] :
( ~ sP38(X0,X1,X2)
| ~ r2_hidden(X6,X2)
| k1_relat_1(sK543(X0,X1,X6)) = X0 ),
inference(cnf_transformation,[],[f10216]) ).
fof(f13872,plain,
! [X2,X0,X1,X6] :
( ~ sP38(X0,X1,X2)
| ~ r2_hidden(X6,X2)
| sK543(X0,X1,X6) = X6 ),
inference(cnf_transformation,[],[f10216]) ).
fof(f13873,plain,
! [X2,X0,X1,X6] :
( ~ sP38(X0,X1,X2)
| ~ r2_hidden(X6,X2)
| v1_funct_1(sK543(X0,X1,X6)) ),
inference(cnf_transformation,[],[f10216]) ).
fof(f13874,plain,
! [X2,X0,X1,X6] :
( ~ sP38(X0,X1,X2)
| ~ r2_hidden(X6,X2)
| v1_relat_1(sK543(X0,X1,X6)) ),
inference(cnf_transformation,[],[f10216]) ).
fof(f13875,plain,
! [X2,X0,X1,X6,X7] :
( ~ sP38(X0,X1,X2)
| ~ r1_tarski(k2_relat_1(X7),X1)
| k1_relat_1(X7) != X0
| X6 != X7
| ~ v1_funct_1(X7)
| ~ v1_relat_1(X7)
| r2_hidden(X6,X2) ),
inference(cnf_transformation,[],[f10216]) ).
fof(f13876,plain,
! [X2,X0,X1] :
( r2_hidden(sK541(X0,X1,X2),X2)
| r1_tarski(k2_relat_1(sK542(X0,X1,X2)),X1)
| sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f10216]) ).
fof(f13877,plain,
! [X2,X0,X1] :
( r2_hidden(sK541(X0,X1,X2),X2)
| k1_relat_1(sK542(X0,X1,X2)) = X0
| sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f10216]) ).
fof(f13878,plain,
! [X2,X0,X1] :
( r2_hidden(sK541(X0,X1,X2),X2)
| sK541(X0,X1,X2) = sK542(X0,X1,X2)
| sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f10216]) ).
fof(f13879,plain,
! [X2,X0,X1] :
( r2_hidden(sK541(X0,X1,X2),X2)
| v1_funct_1(sK542(X0,X1,X2))
| sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f10216]) ).
fof(f13880,plain,
! [X2,X0,X1] :
( r2_hidden(sK541(X0,X1,X2),X2)
| v1_relat_1(sK542(X0,X1,X2))
| sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f10216]) ).
fof(f13881,plain,
! [X2,X0,X1,X4] :
( ~ r2_hidden(sK541(X0,X1,X2),X2)
| ~ r1_tarski(k2_relat_1(X4),X1)
| k1_relat_1(X4) != X0
| sK541(X0,X1,X2) != X4
| ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f10216]) ).
fof(f14140,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP39(X0,X1,X2,X3,X4)
| m2_relset_1(sK577(X0,X1,X2,X3,X4),X3,X2) ),
inference(cnf_transformation,[],[f10299]) ).
fof(f14141,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP39(X0,X1,X2,X3,X4)
| v1_funct_2(sK577(X0,X1,X2,X3,X4),X3,X2) ),
inference(cnf_transformation,[],[f10299]) ).
fof(f14142,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP39(X0,X1,X2,X3,X4)
| v1_funct_1(sK577(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f10299]) ).
fof(f14143,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP39(X0,X1,X2,X3,X4)
| k7_funct_2(X4,X3,X2,X1,sK577(X0,X1,X2,X3,X4)) = X0 ),
inference(cnf_transformation,[],[f10299]) ).
fof(f14252,plain,
! [X2,X0,X1,X6] :
( ~ sP40(X0,X1,X2)
| ~ r2_hidden(X6,k1_relat_1(X2))
| k1_funct_1(X0,X6) = k1_funct_1(X2,X6) ),
inference(cnf_transformation,[],[f10322]) ).
fof(f14253,plain,
! [X2,X0,X1,X5] :
( ~ sP40(X0,X1,X2)
| ~ r2_hidden(X5,k1_relat_1(X2))
| r2_hidden(k1_funct_1(X0,X5),X1) ),
inference(cnf_transformation,[],[f10322]) ).
fof(f14254,plain,
! [X2,X0,X1,X5] :
( ~ sP40(X0,X1,X2)
| ~ r2_hidden(X5,k1_relat_1(X2))
| r2_hidden(X5,k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f10322]) ).
fof(f14255,plain,
! [X2,X0,X1,X5] :
( ~ sP40(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,[],[f10322]) ).
fof(f14256,plain,
! [X2,X0,X1] :
( r2_hidden(sK592(X0,X2),k1_relat_1(X2))
| r2_hidden(sK591(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X0,sK591(X0,X1,X2)),X1)
| sP40(X0,X1,X2) ),
inference(cnf_transformation,[],[f10322]) ).
fof(f14257,plain,
! [X2,X0,X1] :
( k1_funct_1(X0,sK592(X0,X2)) != k1_funct_1(X2,sK592(X0,X2))
| r2_hidden(sK591(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X0,sK591(X0,X1,X2)),X1)
| sP40(X0,X1,X2) ),
inference(cnf_transformation,[],[f10322]) ).
fof(f14258,plain,
! [X2,X0,X1] :
( r2_hidden(sK592(X0,X2),k1_relat_1(X2))
| r2_hidden(sK591(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK591(X0,X1,X2),k1_relat_1(X0))
| sP40(X0,X1,X2) ),
inference(cnf_transformation,[],[f10322]) ).
fof(f14259,plain,
! [X2,X0,X1] :
( k1_funct_1(X0,sK592(X0,X2)) != k1_funct_1(X2,sK592(X0,X2))
| r2_hidden(sK591(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK591(X0,X1,X2),k1_relat_1(X0))
| sP40(X0,X1,X2) ),
inference(cnf_transformation,[],[f10322]) ).
fof(f14260,plain,
! [X2,X0,X1] :
( r2_hidden(sK592(X0,X2),k1_relat_1(X2))
| ~ r2_hidden(sK591(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,sK591(X0,X1,X2)),X1)
| ~ r2_hidden(sK591(X0,X1,X2),k1_relat_1(X0))
| sP40(X0,X1,X2) ),
inference(cnf_transformation,[],[f10322]) ).
fof(f14261,plain,
! [X2,X0,X1] :
( k1_funct_1(X0,sK592(X0,X2)) != k1_funct_1(X2,sK592(X0,X2))
| ~ r2_hidden(sK591(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,sK591(X0,X1,X2)),X1)
| ~ r2_hidden(sK591(X0,X1,X2),k1_relat_1(X0))
| sP40(X0,X1,X2) ),
inference(cnf_transformation,[],[f10322]) ).
fof(f14736,plain,
! [X0] :
( ~ sP9(X0)
| r2_hidden(k2_tarski(k2_tarski(sK185(X0),sK186(X0)),k2_tarski(sK185(X0),sK185(X0))),X0) ),
inference(definition_unfolding,[],[f11366,f14454]) ).
fof(f14737,plain,
! [X0] :
( ~ sP9(X0)
| r2_hidden(k2_tarski(k2_tarski(sK185(X0),sK187(X0)),k2_tarski(sK185(X0),sK185(X0))),X0) ),
inference(definition_unfolding,[],[f11365,f14454]) ).
fof(f15117,plain,
! [X2,X3,X0,X1,X4,X5] :
( np__0 != sK411(X0,X1,X2,X3,X4,X5)
| sP24(X0,X1,X2,X3,X4,X5) ),
inference(definition_unfolding,[],[f12946,f12649]) ).
fof(f15118,plain,
! [X2,X3,X0,X1,X8,X9,X4,X5] :
( ~ sP24(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,[],[f12940,f12649]) ).
fof(f15142,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ r2_hidden(sK427(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k2_tarski(k2_tarski(X6,X7),k2_tarski(X6,X6)),k1_relat_1(X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_tarski(X4,X4)),k1_relat_1(X0))
| sK427(X0,X1,X2) != k2_tarski(k2_tarski(k2_tarski(k2_tarski(X4,X6),k2_tarski(X4,X4)),k2_tarski(k2_tarski(X5,X7),k2_tarski(X5,X5))),k2_tarski(k2_tarski(k2_tarski(X4,X6),k2_tarski(X4,X4)),k2_tarski(k2_tarski(X4,X6),k2_tarski(X4,X4))))
| sP30(X0,X1,X2) ),
inference(definition_unfolding,[],[f13131,f14454,f14454,f14454,f14454,f14454]) ).
fof(f15143,plain,
! [X2,X0,X1] :
( r2_hidden(sK427(X0,X1,X2),k1_relat_1(X2))
| sK427(X0,X1,X2) = k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK428(X0,X1,X2),sK430(X0,X1,X2)),k2_tarski(sK428(X0,X1,X2),sK428(X0,X1,X2))),k2_tarski(k2_tarski(sK429(X0,X1,X2),sK431(X0,X1,X2)),k2_tarski(sK429(X0,X1,X2),sK429(X0,X1,X2)))),k2_tarski(k2_tarski(k2_tarski(sK428(X0,X1,X2),sK430(X0,X1,X2)),k2_tarski(sK428(X0,X1,X2),sK428(X0,X1,X2))),k2_tarski(k2_tarski(sK428(X0,X1,X2),sK430(X0,X1,X2)),k2_tarski(sK428(X0,X1,X2),sK428(X0,X1,X2)))))
| sP30(X0,X1,X2) ),
inference(definition_unfolding,[],[f13130,f14454,f14454,f14454]) ).
fof(f15144,plain,
! [X2,X0,X1] :
( r2_hidden(sK427(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK428(X0,X1,X2),sK429(X0,X1,X2)),k2_tarski(sK428(X0,X1,X2),sK428(X0,X1,X2))),k1_relat_1(X0))
| sP30(X0,X1,X2) ),
inference(definition_unfolding,[],[f13129,f14454]) ).
fof(f15145,plain,
! [X2,X0,X1] :
( r2_hidden(sK427(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK430(X0,X1,X2),sK431(X0,X1,X2)),k2_tarski(sK430(X0,X1,X2),sK430(X0,X1,X2))),k1_relat_1(X1))
| sP30(X0,X1,X2) ),
inference(definition_unfolding,[],[f13128,f14454]) ).
fof(f15146,plain,
! [X2,X0,X1,X16,X14,X15,X12,X13] :
( ~ sP30(X0,X1,X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X15,X16),k2_tarski(X15,X15)),k1_relat_1(X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X13,X14),k2_tarski(X13,X13)),k1_relat_1(X0))
| k2_tarski(k2_tarski(k2_tarski(k2_tarski(X13,X15),k2_tarski(X13,X13)),k2_tarski(k2_tarski(X14,X16),k2_tarski(X14,X14))),k2_tarski(k2_tarski(k2_tarski(X13,X15),k2_tarski(X13,X13)),k2_tarski(k2_tarski(X13,X15),k2_tarski(X13,X13)))) != X12
| r2_hidden(X12,k1_relat_1(X2)) ),
inference(definition_unfolding,[],[f13127,f14454,f14454,f14454,f14454,f14454]) ).
fof(f15147,plain,
! [X2,X0,X1,X12] :
( ~ sP30(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK432(X0,X1,X12),sK434(X0,X1,X12)),k2_tarski(sK432(X0,X1,X12),sK432(X0,X1,X12))),k2_tarski(k2_tarski(sK433(X0,X1,X12),sK435(X0,X1,X12)),k2_tarski(sK433(X0,X1,X12),sK433(X0,X1,X12)))),k2_tarski(k2_tarski(k2_tarski(sK432(X0,X1,X12),sK434(X0,X1,X12)),k2_tarski(sK432(X0,X1,X12),sK432(X0,X1,X12))),k2_tarski(k2_tarski(sK432(X0,X1,X12),sK434(X0,X1,X12)),k2_tarski(sK432(X0,X1,X12),sK432(X0,X1,X12))))) = X12 ),
inference(definition_unfolding,[],[f13126,f14454,f14454,f14454]) ).
fof(f15148,plain,
! [X2,X0,X1,X12] :
( ~ sP30(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK432(X0,X1,X12),sK433(X0,X1,X12)),k2_tarski(sK432(X0,X1,X12),sK432(X0,X1,X12))),k1_relat_1(X0)) ),
inference(definition_unfolding,[],[f13125,f14454]) ).
fof(f15149,plain,
! [X2,X0,X1,X12] :
( ~ sP30(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK434(X0,X1,X12),sK435(X0,X1,X12)),k2_tarski(sK434(X0,X1,X12),sK434(X0,X1,X12))),k1_relat_1(X1)) ),
inference(definition_unfolding,[],[f13124,f14454]) ).
fof(f15405,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))
| sP5(X0,X1,X2) ),
inference(equality_resolution,[],[f10915]) ).
fof(f15406,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))
| sP5(X0,X1,X2) ),
inference(equality_resolution,[],[f15405]) ).
fof(f15407,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))
| sP5(X0,X1,g3_lattices(X0,k1_realset1(u2_lattices(X1),X0),k1_realset1(u1_lattices(X1),X0))) ),
inference(equality_resolution,[],[f15406]) ).
fof(f15585,plain,
! [X2,X3,X0] :
( ~ r1_xreal_0(k3_finseq_1(X2),sK390(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)
| sP19(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X2)),X2) ),
inference(equality_resolution,[],[f12810]) ).
fof(f15586,plain,
! [X2,X3,X0] :
( k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k1_nat_1(sK390(X0,X2,X3),np__1)) != k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,sK390(X0,X2,X3)),sK391(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)
| sP19(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X2)),X2) ),
inference(equality_resolution,[],[f12809]) ).
fof(f15587,plain,
! [X2,X3,X0] :
( sK391(X0,X2,X3) = k1_funct_1(X2,k1_nat_1(sK390(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)
| sP19(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X2)),X2) ),
inference(equality_resolution,[],[f12808]) ).
fof(f15588,plain,
! [X2,X3,X0] :
( m1_subset_1(sK391(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)
| sP19(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X2)),X2) ),
inference(equality_resolution,[],[f12807]) ).
fof(f15589,plain,
! [X2,X3,X0] :
( m2_subset_1(sK390(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)
| sP19(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X2)),X2) ),
inference(equality_resolution,[],[f12806]) ).
fof(f15590,plain,
! [X2,X0,X1,X7] :
( ~ sP19(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),sK392(X0,X1,X2),k1_nat_1(X7,np__1)) = k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),sK392(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,[],[f12800]) ).
fof(f15594,plain,
! [X0,X1,X4] :
( ~ m1_subset_1(k1_funct_1(X1,sK395(X0,X1)),k8_qc_lang1)
| ~ m1_subset_1(X4,k8_qc_lang1)
| ~ r1_qc_lang2(k1_funct_1(X1,sK395(X0,X1)),X4)
| k1_funct_1(X1,k1_nat_1(sK395(X0,X1),np__1)) != X4
| sP21(X0,X1) ),
inference(equality_resolution,[],[f12830]) ).
fof(f15595,plain,
! [X0,X1] :
( ~ m1_subset_1(k1_funct_1(X1,sK395(X0,X1)),k8_qc_lang1)
| ~ m1_subset_1(k1_funct_1(X1,k1_nat_1(sK395(X0,X1),np__1)),k8_qc_lang1)
| ~ r1_qc_lang2(k1_funct_1(X1,sK395(X0,X1)),k1_funct_1(X1,k1_nat_1(sK395(X0,X1),np__1)))
| sP21(X0,X1) ),
inference(equality_resolution,[],[f15594]) ).
fof(f15607,plain,
! [X2,X0,X1,X16,X14,X15,X13] :
( ~ sP30(X0,X1,X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X15,X16),k2_tarski(X15,X15)),k1_relat_1(X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X13,X14),k2_tarski(X13,X13)),k1_relat_1(X0))
| r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X13,X15),k2_tarski(X13,X13)),k2_tarski(k2_tarski(X14,X16),k2_tarski(X14,X14))),k2_tarski(k2_tarski(k2_tarski(X13,X15),k2_tarski(X13,X13)),k2_tarski(k2_tarski(X13,X15),k2_tarski(X13,X13)))),k1_relat_1(X2)) ),
inference(equality_resolution,[],[f15146]) ).
fof(f15636,plain,
! [X2,X3,X1,X6,X4] :
( ~ sP37(X6,X1,X2,X3,X4)
| r2_hidden(X6,X4) ),
inference(equality_resolution,[],[f13841]) ).
fof(f15637,plain,
! [X2,X3,X0,X6,X4] :
( ~ sP37(X0,X6,X2,X3,X4)
| r2_hidden(X6,X4) ),
inference(equality_resolution,[],[f13840]) ).
fof(f15638,plain,
! [X3,X0,X1,X6,X4] :
( ~ sP37(X0,X1,X6,X3,X4)
| r2_hidden(X6,X4) ),
inference(equality_resolution,[],[f13839]) ).
fof(f15639,plain,
! [X2,X0,X1,X6,X4] :
( ~ sP37(X0,X1,X2,X6,X4)
| r2_hidden(X6,X4) ),
inference(equality_resolution,[],[f13838]) ).
fof(f15642,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK541(X0,X1,X2),X2)
| ~ r1_tarski(k2_relat_1(sK541(X0,X1,X2)),X1)
| k1_relat_1(sK541(X0,X1,X2)) != X0
| ~ v1_funct_1(sK541(X0,X1,X2))
| ~ v1_relat_1(sK541(X0,X1,X2))
| sP38(X0,X1,X2) ),
inference(equality_resolution,[],[f13881]) ).
fof(f15643,plain,
! [X2,X0,X1,X7] :
( ~ sP38(X0,X1,X2)
| ~ r1_tarski(k2_relat_1(X7),X1)
| k1_relat_1(X7) != X0
| ~ v1_funct_1(X7)
| ~ v1_relat_1(X7)
| r2_hidden(X7,X2) ),
inference(equality_resolution,[],[f13875]) ).
fof(f15644,plain,
! [X2,X1,X7] :
( ~ sP38(k1_relat_1(X7),X1,X2)
| ~ r1_tarski(k2_relat_1(X7),X1)
| ~ v1_funct_1(X7)
| ~ v1_relat_1(X7)
| r2_hidden(X7,X2) ),
inference(equality_resolution,[],[f15643]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1)
| ~ r1_tarski(X2,X1)
| ~ v3_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(sK56(X0,X1),X2)
| ~ r2_hidden(sK56(X0,X1),X1) ),
inference(cnf_transformation,[],[f10466]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1)
| r2_hidden(sK56(X0,X1),X1)
| m1_subset_1(sK57(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f10465]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1)
| r2_hidden(sK56(X0,X1),X1)
| v3_pre_topc(sK57(X0,X1),X0) ),
inference(cnf_transformation,[],[f10464]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1)
| r2_hidden(sK56(X0,X1),X1)
| r1_tarski(sK57(X0,X1),X1) ),
inference(cnf_transformation,[],[f10463]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1)
| r2_hidden(sK56(X0,X1),X1)
| r2_hidden(sK56(X0,X1),sK57(X0,X1)) ),
inference(cnf_transformation,[],[f10462]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK58(X2,X1,X0),k1_zfmisc_1(u1_struct_0(X2)))
| ~ sP0(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10460]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_pre_topc(sK58(X2,X1,X0),X2)
| ~ sP0(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10459]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK58(X2,X1,X0),X1)
| ~ sP0(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10458]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,sK58(X2,X1,X0))
| ~ sP0(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10457]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| v3_pre_topc(sK65(X0,X1,X2),X0)
| ~ r2_hidden(sK64(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f10509]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| r2_hidden(sK64(X0,X1,X2),sK65(X0,X1,X2))
| ~ r2_hidden(sK64(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f10508]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| r1_xboole_0(X1,sK65(X0,X1,X2))
| ~ r2_hidden(sK64(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f10507]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| m1_subset_1(sK65(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(sK64(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f10506]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(X0,X1,X2)
| r2_hidden(sK64(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(sK64(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f10505]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| r2_hidden(sK64(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10504]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X3,X2)
| v3_pre_topc(sK66(X0,X1,X3),X0)
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f10503]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X3,X2)
| r2_hidden(X3,sK66(X0,X1,X3))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f10502]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X3,X2)
| r1_xboole_0(X1,sK66(X0,X1,X3))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f10501]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X3,X2)
| m1_subset_1(sK66(X0,X1,X3),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f10500]) ).
tcf(c_187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ r1_xboole_0(X2,X0)
| ~ r2_hidden(X4,X3)
| ~ r2_hidden(X4,X0)
| ~ v3_pre_topc(X0,X1)
| ~ r2_hidden(X4,u1_struct_0(X1))
| ~ sP2(X1,X2,X3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10499]) ).
tcf(c_451,plain,
! [X0: $i,X1: $i] :
( sP4(X0,X1)
| ~ r2_hidden(sK95(X0,X1),X0) ),
inference(cnf_transformation,[],[f10785]) ).
tcf(c_452,plain,
! [X0: $i,X1: $i] :
( sP4(X0,X1)
| r2_hidden(sK94(X0,X1),X0) ),
inference(cnf_transformation,[],[f10784]) ).
tcf(c_453,plain,
! [X0: $i,X1: $i] :
( sP4(X1,X0)
| r3_lattices(X0,sK94(X1,X0),sK95(X1,X0)) ),
inference(cnf_transformation,[],[f10783]) ).
tcf(c_454,plain,
! [X0: $i,X1: $i] :
( sP4(X0,X1)
| m1_subset_1(sK95(X0,X1),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10782]) ).
tcf(c_455,plain,
! [X0: $i,X1: $i] :
( sP4(X0,X1)
| m1_subset_1(sK94(X0,X1),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10781]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X2,X3)
| ~ sP4(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,[],[f10780]) ).
tcf(c_577,plain,
! [X0: $i,X1: $i] :
( sP5(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))
| ~ 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)
| ~ 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) ),
inference(cnf_transformation,[],[f15407]) ).
tcf(c_578,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(sK109(X0,X1,X2))
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f10914]) ).
tcf(c_579,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(sK109(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f10913]) ).
tcf(c_580,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(sK109(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f10912]) ).
tcf(c_581,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(sK110(X0,X1,X2))
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f10911]) ).
tcf(c_582,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(sK110(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f10910]) ).
tcf(c_583,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(sK110(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f10909]) ).
tcf(c_584,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK109(X0,X1,X2) = k1_realset1(u2_lattices(X1),X0) )
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f10908]) ).
tcf(c_585,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK110(X0,X1,X2) = k1_realset1(u1_lattices(X1),X0) )
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f10907]) ).
tcf(c_586,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( g3_lattices(X0,sK109(X0,X1,X2),sK110(X0,X1,X2)) = X2 )
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f10906]) ).
tcf(c_921,plain,
! [X0: $i] :
( sP7(X0)
| ( sK164(X0) != sK165(X0) ) ),
inference(cnf_transformation,[],[f11270]) ).
tcf(c_922,plain,
! [X0: $i] :
( sP7(X0)
| r1_tarski(k2_relat_1(sK164(X0)),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f11269]) ).
tcf(c_923,plain,
! [X0: $i] :
( sP7(X0)
| r1_tarski(k2_relat_1(sK165(X0)),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f11268]) ).
tcf(c_924,plain,
! [X0: $i] :
( sP7(X0)
| ( k1_relat_1(sK164(X0)) = k1_relat_1(sK165(X0)) ) ),
inference(cnf_transformation,[],[f11267]) ).
tcf(c_925,plain,
! [X0: $i] :
( sP7(X0)
| ( k5_relat_1(sK164(X0),X0) = k5_relat_1(sK165(X0),X0) ) ),
inference(cnf_transformation,[],[f11266]) ).
tcf(c_926,plain,
! [X0: $i] :
( sP7(X0)
| v1_relat_1(sK165(X0)) ),
inference(cnf_transformation,[],[f11265]) ).
tcf(c_927,plain,
! [X0: $i] :
( sP7(X0)
| v1_funct_1(sK165(X0)) ),
inference(cnf_transformation,[],[f11264]) ).
tcf(c_928,plain,
! [X0: $i] :
( sP7(X0)
| v1_relat_1(sK164(X0)) ),
inference(cnf_transformation,[],[f11263]) ).
tcf(c_929,plain,
! [X0: $i] :
( sP7(X0)
| v1_funct_1(sK164(X0)) ),
inference(cnf_transformation,[],[f11262]) ).
tcf(c_930,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ sP7(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_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,[],[f11261]) ).
tcf(c_1021,plain,
! [X0: $i] :
( ~ sP9(X0)
| ( sK186(X0) != sK187(X0) ) ),
inference(cnf_transformation,[],[f11367]) ).
tcf(c_1022,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK185(X0),sK186(X0)),k2_tarski(sK185(X0),sK185(X0))),X0)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f14736]) ).
tcf(c_1023,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK185(X0),sK187(X0)),k2_tarski(sK185(X0),sK185(X0))),X0)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f14737]) ).
tcf(c_1309,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP10(X1,X0,X2)
| ( k1_funct_1(X0,k1_nat_1(k3_finseq_1(X1),sK258(X1,X0,X2))) != k1_funct_1(X2,sK258(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f11657]) ).
tcf(c_1310,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP10(X0,X1,X2)
| r2_hidden(sK258(X0,X1,X2),k4_finseq_1(X2)) ),
inference(cnf_transformation,[],[f11656]) ).
tcf(c_1311,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP10(X0,X1,X2)
| m2_subset_1(sK258(X0,X1,X2),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f11655]) ).
tcf(c_1312,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))
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f11654]) ).
tcf(c_1369,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP11(X0,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ v17_lattices(X1)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f11722]) ).
tcf(c_1370,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(X0)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f11721]) ).
tcf(c_1371,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X0)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f11720]) ).
tcf(c_1372,plain,
! [X0: $i,X1: $i] :
( v17_lattices(X0)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f11719]) ).
tcf(c_1373,plain,
! [X0: $i,X1: $i] :
( l3_lattices(X0)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f11718]) ).
tcf(c_1374,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f11717]) ).
tcf(c_1375,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f11716]) ).
tcf(c_1376,plain,
! [X0: $i,X1: $i] :
( v17_lattices(X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f11715]) ).
tcf(c_1377,plain,
! [X0: $i,X1: $i] :
( l3_lattices(X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f11714]) ).
tcf(c_1393,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP13(X0,X1)
| ~ v11_lattices(X1)
| ~ v11_lattices(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11746]) ).
tcf(c_1394,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(X0)
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f11745]) ).
tcf(c_1395,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X0)
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f11744]) ).
tcf(c_1396,plain,
! [X0: $i,X1: $i] :
( v11_lattices(X0)
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f11743]) ).
tcf(c_1397,plain,
! [X0: $i,X1: $i] :
( l3_lattices(X0)
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f11742]) ).
tcf(c_1398,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(X1)
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f11741]) ).
tcf(c_1399,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X1)
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f11740]) ).
tcf(c_1400,plain,
! [X0: $i,X1: $i] :
( v11_lattices(X1)
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f11739]) ).
tcf(c_1401,plain,
! [X0: $i,X1: $i] :
( l3_lattices(X1)
| ~ sP13(X0,X1) ),
inference(cnf_transformation,[],[f11738]) ).
tcf(c_1405,plain,
! [X0: $i,X1: $i] :
( ~ sP15(X1,X0)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f11762]) ).
tcf(c_1406,plain,
! [X0: $i,X1: $i] :
( v3_lattices(k8_filter_1(X1,X0))
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f11761]) ).
tcf(c_1407,plain,
! [X0: $i,X1: $i] :
( v4_lattices(k8_filter_1(X1,X0))
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f11760]) ).
tcf(c_1408,plain,
! [X0: $i,X1: $i] :
( v5_lattices(k8_filter_1(X1,X0))
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f11759]) ).
tcf(c_1409,plain,
! [X0: $i,X1: $i] :
( v6_lattices(k8_filter_1(X1,X0))
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f11758]) ).
tcf(c_1410,plain,
! [X0: $i,X1: $i] :
( v7_lattices(k8_filter_1(X1,X0))
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f11757]) ).
tcf(c_1411,plain,
! [X0: $i,X1: $i] :
( v8_lattices(k8_filter_1(X1,X0))
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f11756]) ).
tcf(c_1412,plain,
! [X0: $i,X1: $i] :
( v9_lattices(k8_filter_1(X1,X0))
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f11755]) ).
tcf(c_1413,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X1,X0))
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f11754]) ).
tcf(c_1462,plain,
! [X0: $i] :
( ~ sP16(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f11826]) ).
tcf(c_1463,plain,
! [X0: $i] :
( v3_lattices(k1_lattice2(X0))
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f11825]) ).
tcf(c_1464,plain,
! [X0: $i] :
( v4_lattices(k1_lattice2(X0))
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f11824]) ).
tcf(c_1465,plain,
! [X0: $i] :
( v5_lattices(k1_lattice2(X0))
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f11823]) ).
tcf(c_1466,plain,
! [X0: $i] :
( v6_lattices(k1_lattice2(X0))
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f11822]) ).
tcf(c_1467,plain,
! [X0: $i] :
( v7_lattices(k1_lattice2(X0))
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f11821]) ).
tcf(c_1468,plain,
! [X0: $i] :
( v8_lattices(k1_lattice2(X0))
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f11820]) ).
tcf(c_1469,plain,
! [X0: $i] :
( v9_lattices(k1_lattice2(X0))
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f11819]) ).
tcf(c_1470,plain,
! [X0: $i] :
( v10_lattices(k1_lattice2(X0))
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f11818]) ).
tcf(c_1474,plain,
! [X0: $i,X1: $i] :
( ~ sP17(X1,X0)
| ~ v3_struct_0(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f11838]) ).
tcf(c_1475,plain,
! [X0: $i,X1: $i] :
( v3_lattices(k8_filter_0(X1,X0))
| ~ sP17(X0,X1) ),
inference(cnf_transformation,[],[f11837]) ).
tcf(c_1476,plain,
! [X0: $i,X1: $i] :
( v4_lattices(k8_filter_0(X1,X0))
| ~ sP17(X0,X1) ),
inference(cnf_transformation,[],[f11836]) ).
tcf(c_1477,plain,
! [X0: $i,X1: $i] :
( v5_lattices(k8_filter_0(X1,X0))
| ~ sP17(X0,X1) ),
inference(cnf_transformation,[],[f11835]) ).
tcf(c_1478,plain,
! [X0: $i,X1: $i] :
( v6_lattices(k8_filter_0(X1,X0))
| ~ sP17(X0,X1) ),
inference(cnf_transformation,[],[f11834]) ).
tcf(c_1479,plain,
! [X0: $i,X1: $i] :
( v7_lattices(k8_filter_0(X1,X0))
| ~ sP17(X0,X1) ),
inference(cnf_transformation,[],[f11833]) ).
tcf(c_1480,plain,
! [X0: $i,X1: $i] :
( v8_lattices(k8_filter_0(X1,X0))
| ~ sP17(X0,X1) ),
inference(cnf_transformation,[],[f11832]) ).
tcf(c_1481,plain,
! [X0: $i,X1: $i] :
( v9_lattices(k8_filter_0(X1,X0))
| ~ sP17(X0,X1) ),
inference(cnf_transformation,[],[f11831]) ).
tcf(c_1482,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_0(X1,X0))
| ~ sP17(X0,X1) ),
inference(cnf_transformation,[],[f11830]) ).
tcf(c_1798,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ~ sP18(X0,X1)
| ( sK322(X0,X1) != sK323(X0,X1) ) ),
inference(cnf_transformation,[],[f12161]) ).
tcf(c_1799,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| r2_hidden(sK322(X0,X1),X0)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f12160]) ).
tcf(c_1800,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| r2_hidden(sK323(X0,X1),X0)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f12159]) ).
tcf(c_1801,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ( k1_funct_1(X1,sK322(X0,X1)) = k1_funct_1(X1,sK323(X0,X1)) )
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f12158]) ).
tcf(c_1802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ v2_funct_1(X0)
| ~ sP18(X3,X0)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X3)
| ( k1_funct_1(X0,X1) != k1_funct_1(X0,X2) ) ),
inference(cnf_transformation,[],[f12157]) ).
tcf(c_2430,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP19(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X1,k3_finseq_1(X2)),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k5_numbers,u1_struct_0(X0))
| ~ m2_relset_1(X1,k5_numbers,u1_struct_0(X0))
| ~ r1_xreal_0(k3_finseq_1(X2),sK390(X0,X2,X1))
| ( k8_funct_2(k5_numbers,u1_struct_0(X0),X1,np__0) != k1_rlvect_1(X0) ) ),
inference(cnf_transformation,[],[f15585]) ).
tcf(c_2431,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP19(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X1,k3_finseq_1(X2)),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k5_numbers,u1_struct_0(X0))
| ~ m2_relset_1(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,sK390(X0,X2,X1)),sK391(X0,X2,X1)) != k8_funct_2(k5_numbers,u1_struct_0(X0),X1,k1_nat_1(sK390(X0,X2,X1),np__1)) ) ),
inference(cnf_transformation,[],[f15586]) ).
tcf(c_2432,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP19(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X1,k3_finseq_1(X2)),X2)
| ( k1_funct_1(X2,k1_nat_1(sK390(X0,X2,X1),np__1)) = sK391(X0,X2,X1) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k5_numbers,u1_struct_0(X0))
| ~ m2_relset_1(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,[],[f15587]) ).
tcf(c_2433,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK391(X0,X2,X1),u1_struct_0(X0))
| sP19(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X1,k3_finseq_1(X2)),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k5_numbers,u1_struct_0(X0))
| ~ m2_relset_1(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,[],[f15588]) ).
tcf(c_2434,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_subset_1(sK390(X0,X2,X1),k1_numbers,k5_numbers)
| sP19(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X1,k3_finseq_1(X2)),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k5_numbers,u1_struct_0(X0))
| ~ m2_relset_1(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,[],[f15589]) ).
tcf(c_2435,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(sK392(X0,X1,X2))
| ~ sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f12805]) ).
tcf(c_2436,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(sK392(X0,X1,X2),k5_numbers,u1_struct_0(X0))
| ~ sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f12804]) ).
tcf(c_2437,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(sK392(X0,X1,X2),k5_numbers,u1_struct_0(X0))
| ~ sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f12803]) ).
tcf(c_2438,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_funct_2(k5_numbers,u1_struct_0(X0),sK392(X0,X1,X2),k3_finseq_1(X2)) = X1 )
| ~ sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f12802]) ).
tcf(c_2439,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_funct_2(k5_numbers,u1_struct_0(X0),sK392(X0,X1,X2),np__0) = k1_rlvect_1(X0) )
| ~ sP19(X0,X1,X2) ),
inference(cnf_transformation,[],[f12801]) ).
tcf(c_2440,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),sK392(X2,X3,X0),X1),k1_funct_1(X0,k1_nat_1(X1,np__1))) = k8_funct_2(k5_numbers,u1_struct_0(X2),sK392(X2,X3,X0),k1_nat_1(X1,np__1)) )
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ sP19(X2,X3,X0)
| ~ m1_subset_1(k1_funct_1(X0,k1_nat_1(X1,np__1)),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f15590]) ).
tcf(c_2454,plain,
! [X0: $i,X1: $i] :
( sP21(X0,X1)
| r1_xreal_0(np__1,sK395(X0,X1)) ),
inference(cnf_transformation,[],[f12832]) ).
tcf(c_2455,plain,
! [X0: $i,X1: $i] :
( sP21(X0,X1)
| ~ r1_xreal_0(X0,sK395(X0,X1)) ),
inference(cnf_transformation,[],[f12831]) ).
tcf(c_2456,plain,
! [X0: $i,X1: $i] :
( sP21(X1,X0)
| ~ m1_subset_1(k1_funct_1(X0,sK395(X1,X0)),k8_qc_lang1)
| ~ m1_subset_1(k1_funct_1(X0,k1_nat_1(sK395(X1,X0),np__1)),k8_qc_lang1)
| ~ r1_qc_lang2(k1_funct_1(X0,sK395(X1,X0)),k1_funct_1(X0,k1_nat_1(sK395(X1,X0),np__1))) ),
inference(cnf_transformation,[],[f15595]) ).
tcf(c_2457,plain,
! [X0: $i,X1: $i] :
( sP21(X0,X1)
| m2_subset_1(sK395(X0,X1),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f12829]) ).
tcf(c_2458,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xreal_0(X1,X0)
| ( k1_funct_1(X2,X0) = sK396(X2,X0) )
| ~ r1_xreal_0(np__1,X0)
| ~ sP21(X1,X2)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f12828]) ).
tcf(c_2459,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xreal_0(X1,X0)
| ( k1_funct_1(X2,k1_nat_1(X0,np__1)) = sK397(X2,X0) )
| ~ r1_xreal_0(np__1,X0)
| ~ sP21(X1,X2)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f12827]) ).
tcf(c_2460,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xreal_0(X1,X0)
| r1_qc_lang2(sK396(X2,X0),sK397(X2,X0))
| ~ r1_xreal_0(np__1,X0)
| ~ sP21(X1,X2)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f12826]) ).
tcf(c_2461,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xreal_0(X1,X0)
| m1_subset_1(sK397(X2,X0),k8_qc_lang1)
| ~ r1_xreal_0(np__1,X0)
| ~ sP21(X1,X2)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f12825]) ).
tcf(c_2462,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xreal_0(X1,X0)
| m1_subset_1(sK396(X2,X0),k8_qc_lang1)
| ~ r1_xreal_0(np__1,X0)
| ~ sP21(X1,X2)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f12824]) ).
tcf(c_2570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP24(X0,X1,X2,X3,X4,X5)
| ( sK411(X0,X1,X2,X3,X4,X5) != np__0 ) ),
inference(cnf_transformation,[],[f15117]) ).
tcf(c_2571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP24(X4,X0,X2,X3,X1,X5)
| ( k2_binop_1(X0,X0,X0,X1,k8_funct_2(k5_finsub_1(X2),X0,X3,sK411(X4,X0,X2,X3,X1,X5)),k8_funct_2(X2,X0,X4,sK412(X4,X0,X2,X3,X1,X5))) != k8_funct_2(k5_finsub_1(X2),X0,X3,k5_setwiseo(X2,sK411(X4,X0,X2,X3,X1,X5),k2_setwiseo(X2,sK412(X4,X0,X2,X3,X1,X5)))) ) ),
inference(cnf_transformation,[],[f12945]) ).
tcf(c_2572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP24(X0,X1,X2,X3,X4,X5)
| r2_hidden(sK412(X0,X1,X2,X3,X4,X5),X5) ),
inference(cnf_transformation,[],[f12944]) ).
tcf(c_2573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP24(X0,X1,X2,X3,X4,X5)
| m1_subset_1(sK412(X0,X1,X2,X3,X4,X5),X2) ),
inference(cnf_transformation,[],[f12943]) ).
tcf(c_2574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP24(X0,X1,X2,X3,X4,X5)
| r1_tarski(sK411(X0,X1,X2,X3,X4,X5),X5) ),
inference(cnf_transformation,[],[f12942]) ).
tcf(c_2575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP24(X0,X1,X2,X3,X4,X5)
| m1_subset_1(sK411(X0,X1,X2,X3,X4,X5),k5_finsub_1(X2)) ),
inference(cnf_transformation,[],[f12941]) ).
tcf(c_2576,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))
| ~ sP24(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f15118]) ).
tcf(c_2640,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP27(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,[],[f13024]) ).
tcf(c_2641,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(X0)
| ~ sP27(X0,X1) ),
inference(cnf_transformation,[],[f13023]) ).
tcf(c_2642,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X0)
| ~ sP27(X0,X1) ),
inference(cnf_transformation,[],[f13022]) ).
tcf(c_2643,plain,
! [X0: $i,X1: $i] :
( v15_lattices(X0)
| ~ sP27(X0,X1) ),
inference(cnf_transformation,[],[f13021]) ).
tcf(c_2644,plain,
! [X0: $i,X1: $i] :
( v16_lattices(X0)
| ~ sP27(X0,X1) ),
inference(cnf_transformation,[],[f13020]) ).
tcf(c_2645,plain,
! [X0: $i,X1: $i] :
( l3_lattices(X0)
| ~ sP27(X0,X1) ),
inference(cnf_transformation,[],[f13019]) ).
tcf(c_2646,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(X1)
| ~ sP27(X0,X1) ),
inference(cnf_transformation,[],[f13018]) ).
tcf(c_2647,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X1)
| ~ sP27(X0,X1) ),
inference(cnf_transformation,[],[f13017]) ).
tcf(c_2648,plain,
! [X0: $i,X1: $i] :
( v15_lattices(X1)
| ~ sP27(X0,X1) ),
inference(cnf_transformation,[],[f13016]) ).
tcf(c_2649,plain,
! [X0: $i,X1: $i] :
( v16_lattices(X1)
| ~ sP27(X0,X1) ),
inference(cnf_transformation,[],[f13015]) ).
tcf(c_2650,plain,
! [X0: $i,X1: $i] :
( l3_lattices(X1)
| ~ sP27(X0,X1) ),
inference(cnf_transformation,[],[f13014]) ).
tcf(c_2662,plain,
! [X0: $i] :
( v15_lattices(X0)
| ~ sP29(X0) ),
inference(cnf_transformation,[],[f13026]) ).
tcf(c_2746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP30(X4,X5,X6)
| ~ r2_hidden(sK427(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_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)))) != sK427(X4,X5,X6) ) ),
inference(cnf_transformation,[],[f15142]) ).
tcf(c_2747,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP30(X0,X1,X2)
| r2_hidden(sK427(X0,X1,X2),k1_relat_1(X2))
| ( k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK428(X0,X1,X2),sK430(X0,X1,X2)),k2_tarski(sK428(X0,X1,X2),sK428(X0,X1,X2))),k2_tarski(k2_tarski(sK429(X0,X1,X2),sK431(X0,X1,X2)),k2_tarski(sK429(X0,X1,X2),sK429(X0,X1,X2)))),k2_tarski(k2_tarski(k2_tarski(sK428(X0,X1,X2),sK430(X0,X1,X2)),k2_tarski(sK428(X0,X1,X2),sK428(X0,X1,X2))),k2_tarski(k2_tarski(sK428(X0,X1,X2),sK430(X0,X1,X2)),k2_tarski(sK428(X0,X1,X2),sK428(X0,X1,X2))))) = sK427(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f15143]) ).
tcf(c_2748,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP30(X0,X1,X2)
| r2_hidden(sK427(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK428(X0,X1,X2),sK429(X0,X1,X2)),k2_tarski(sK428(X0,X1,X2),sK428(X0,X1,X2))),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f15144]) ).
tcf(c_2749,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP30(X0,X1,X2)
| r2_hidden(sK427(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK430(X0,X1,X2),sK431(X0,X1,X2)),k2_tarski(sK430(X0,X1,X2),sK430(X0,X1,X2))),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f15145]) ).
tcf(c_2750,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_tarski(k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)))),k1_relat_1(X6))
| ~ sP30(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(cnf_transformation,[],[f15607]) ).
tcf(c_2751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK432(X0,X1,X3),sK434(X0,X1,X3)),k2_tarski(sK432(X0,X1,X3),sK432(X0,X1,X3))),k2_tarski(k2_tarski(sK433(X0,X1,X3),sK435(X0,X1,X3)),k2_tarski(sK433(X0,X1,X3),sK433(X0,X1,X3)))),k2_tarski(k2_tarski(k2_tarski(sK432(X0,X1,X3),sK434(X0,X1,X3)),k2_tarski(sK432(X0,X1,X3),sK432(X0,X1,X3))),k2_tarski(k2_tarski(sK432(X0,X1,X3),sK434(X0,X1,X3)),k2_tarski(sK432(X0,X1,X3),sK432(X0,X1,X3))))) = X3 )
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP30(X0,X1,X2) ),
inference(cnf_transformation,[],[f15147]) ).
tcf(c_2752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK432(X0,X1,X3),sK433(X0,X1,X3)),k2_tarski(sK432(X0,X1,X3),sK432(X0,X1,X3))),k1_relat_1(X0))
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP30(X0,X1,X2) ),
inference(cnf_transformation,[],[f15148]) ).
tcf(c_2753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK434(X0,X1,X3),sK435(X0,X1,X3)),k2_tarski(sK434(X0,X1,X3),sK434(X0,X1,X3))),k1_relat_1(X1))
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP30(X0,X1,X2) ),
inference(cnf_transformation,[],[f15149]) ).
tcf(c_2941,plain,
! [X0: $i] :
( v14_lattices(X0)
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f13314]) ).
tcf(c_2951,plain,
! [X0: $i] :
( v13_lattices(X0)
| ~ sP32(X0) ),
inference(cnf_transformation,[],[f13324]) ).
tcf(c_3207,plain,
! [X0: $i] :
( ~ sP33(X0)
| ( k1_group_1(X0,k1_group_1(X0,sK509(X0),sK510(X0)),sK511(X0)) != k1_group_1(X0,sK509(X0),k1_group_1(X0,sK510(X0),sK511(X0))) ) ),
inference(cnf_transformation,[],[f13593]) ).
tcf(c_3208,plain,
! [X0: $i] :
( m1_subset_1(sK511(X0),u1_struct_0(X0))
| ~ sP33(X0) ),
inference(cnf_transformation,[],[f13592]) ).
tcf(c_3209,plain,
! [X0: $i] :
( m1_subset_1(sK510(X0),u1_struct_0(X0))
| ~ sP33(X0) ),
inference(cnf_transformation,[],[f13591]) ).
tcf(c_3210,plain,
! [X0: $i] :
( m1_subset_1(sK509(X0),u1_struct_0(X0))
| ~ sP33(X0) ),
inference(cnf_transformation,[],[f13590]) ).
tcf(c_3217,plain,
! [X0: $i] :
( ~ sP34(X0)
| ( k1_group_1(X0,k1_group_1(X0,sK514(X0),sK515(X0)),sK516(X0)) != k1_group_1(X0,sK514(X0),k1_group_1(X0,sK515(X0),sK516(X0))) ) ),
inference(cnf_transformation,[],[f13603]) ).
tcf(c_3218,plain,
! [X0: $i] :
( m1_subset_1(sK516(X0),u1_struct_0(X0))
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f13602]) ).
tcf(c_3219,plain,
! [X0: $i] :
( m1_subset_1(sK515(X0),u1_struct_0(X0))
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f13601]) ).
tcf(c_3220,plain,
! [X0: $i] :
( m1_subset_1(sK514(X0),u1_struct_0(X0))
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f13600]) ).
tcf(c_3365,plain,
! [X0: $i,X1: $i] :
( sP35(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,sK528(X0),X1) != k1_rlvect_1(X0) )
| ( k2_rlvect_1(X0,sK528(X0),sK529(X0)) != k2_rlvect_1(X0,sK529(X0),sK528(X0)) )
| ( k2_rlvect_1(X0,sK528(X0),k1_rlvect_1(X0)) != sK528(X0) )
| ( k2_rlvect_1(X0,k2_rlvect_1(X0,sK528(X0),sK529(X0)),sK530(X0)) != k2_rlvect_1(X0,sK528(X0),k2_rlvect_1(X0,sK529(X0),sK530(X0))) ) ),
inference(cnf_transformation,[],[f13766]) ).
tcf(c_3366,plain,
! [X0: $i] :
( sP35(X0)
| m1_subset_1(sK530(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13765]) ).
tcf(c_3367,plain,
! [X0: $i] :
( sP35(X0)
| m1_subset_1(sK529(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13764]) ).
tcf(c_3368,plain,
! [X0: $i] :
( sP35(X0)
| m1_subset_1(sK528(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13763]) ).
tcf(c_3369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_rlvect_1(X1,X0,X2) = k2_rlvect_1(X1,X2,X0) )
| ~ sP35(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,[],[f13762]) ).
tcf(c_3370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_rlvect_1(X1,k2_rlvect_1(X1,X0,X2),X3) = k2_rlvect_1(X1,X0,k2_rlvect_1(X1,X2,X3)) )
| ~ sP35(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,[],[f13761]) ).
tcf(c_3371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_rlvect_1(X1,X0,k1_rlvect_1(X1)) = X0 )
| ~ sP35(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,[],[f13760]) ).
tcf(c_3372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK531(X1,X0),u1_struct_0(X1))
| ~ sP35(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,[],[f13759]) ).
tcf(c_3373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_rlvect_1(X1,X0,sK531(X1,X0)) = k1_rlvect_1(X1) )
| ~ sP35(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,[],[f13758]) ).
tcf(c_3444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP37(X0,X1,X2,X3,X4)
| ~ r2_hidden(sK540(X0,X1,X2,X3,X4),X4)
| ( sK540(X0,X1,X2,X3,X4) != X0 ) ),
inference(cnf_transformation,[],[f13846]) ).
tcf(c_3445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP37(X0,X1,X2,X3,X4)
| ~ r2_hidden(sK540(X0,X1,X2,X3,X4),X4)
| ( sK540(X0,X1,X2,X3,X4) != X1 ) ),
inference(cnf_transformation,[],[f13845]) ).
tcf(c_3446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP37(X0,X1,X2,X3,X4)
| ~ r2_hidden(sK540(X0,X1,X2,X3,X4),X4)
| ( sK540(X0,X1,X2,X3,X4) != X2 ) ),
inference(cnf_transformation,[],[f13844]) ).
tcf(c_3447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP37(X0,X1,X2,X3,X4)
| ~ r2_hidden(sK540(X0,X1,X2,X3,X4),X4)
| ( sK540(X0,X1,X2,X3,X4) != X3 ) ),
inference(cnf_transformation,[],[f13843]) ).
tcf(c_3448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP37(X0,X1,X2,X3,X4)
| r2_hidden(sK540(X0,X1,X2,X3,X4),X4)
| ( sK540(X0,X1,X2,X3,X4) = X3 )
| ( sK540(X0,X1,X2,X3,X4) = X2 )
| ( sK540(X0,X1,X2,X3,X4) = X1 )
| ( sK540(X0,X1,X2,X3,X4) = X0 ) ),
inference(cnf_transformation,[],[f13842]) ).
tcf(c_3449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X0,X4)
| ~ sP37(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f15636]) ).
tcf(c_3450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X1,X4)
| ~ sP37(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f15637]) ).
tcf(c_3451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X2,X4)
| ~ sP37(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f15638]) ).
tcf(c_3452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X3,X4)
| ~ sP37(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f15639]) ).
tcf(c_3453,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)
| ~ sP37(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f13837]) ).
tcf(c_3477,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP38(X0,X1,X2)
| ~ v1_funct_1(sK541(X0,X1,X2))
| ~ v1_relat_1(sK541(X0,X1,X2))
| ~ r2_hidden(sK541(X0,X1,X2),X2)
| ~ r1_tarski(k2_relat_1(sK541(X0,X1,X2)),X1)
| ( k1_relat_1(sK541(X0,X1,X2)) != X0 ) ),
inference(cnf_transformation,[],[f15642]) ).
tcf(c_3478,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP38(X0,X1,X2)
| v1_relat_1(sK542(X0,X1,X2))
| r2_hidden(sK541(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f13880]) ).
tcf(c_3479,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP38(X0,X1,X2)
| v1_funct_1(sK542(X0,X1,X2))
| r2_hidden(sK541(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f13879]) ).
tcf(c_3480,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP38(X0,X1,X2)
| r2_hidden(sK541(X0,X1,X2),X2)
| ( sK541(X0,X1,X2) = sK542(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f13878]) ).
tcf(c_3481,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP38(X0,X1,X2)
| r2_hidden(sK541(X0,X1,X2),X2)
| ( k1_relat_1(sK542(X0,X1,X2)) = X0 ) ),
inference(cnf_transformation,[],[f13877]) ).
tcf(c_3482,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP38(X0,X1,X2)
| r2_hidden(sK541(X0,X1,X2),X2)
| r1_tarski(k2_relat_1(sK542(X0,X1,X2)),X1) ),
inference(cnf_transformation,[],[f13876]) ).
tcf(c_3483,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1)
| ~ sP38(k1_relat_1(X0),X1,X2) ),
inference(cnf_transformation,[],[f15644]) ).
tcf(c_3484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_relat_1(sK543(X0,X1,X3))
| ~ r2_hidden(X3,X2)
| ~ sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f13874]) ).
tcf(c_3485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_1(sK543(X0,X1,X3))
| ~ r2_hidden(X3,X2)
| ~ sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f13873]) ).
tcf(c_3486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK543(X0,X1,X3) = X3 )
| ~ r2_hidden(X3,X2)
| ~ sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f13872]) ).
tcf(c_3487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_relat_1(sK543(X0,X1,X3)) = X0 )
| ~ r2_hidden(X3,X2)
| ~ sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f13871]) ).
tcf(c_3488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k2_relat_1(sK543(X0,X1,X3)),X1)
| ~ r2_hidden(X3,X2)
| ~ sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f13870]) ).
tcf(c_3745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k7_funct_2(X4,X3,X2,X1,sK577(X0,X1,X2,X3,X4)) = X0 )
| ~ sP39(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f14143]) ).
tcf(c_3746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_funct_1(sK577(X0,X1,X2,X3,X4))
| ~ sP39(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f14142]) ).
tcf(c_3747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_funct_2(sK577(X0,X1,X2,X3,X4),X3,X2)
| ~ sP39(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f14141]) ).
tcf(c_3748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m2_relset_1(sK577(X0,X1,X2,X3,X4),X3,X2)
| ~ sP39(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f14140]) ).
tcf(c_3857,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP40(X0,X2,X1)
| ~ r2_hidden(sK591(X0,X2,X1),k1_relat_1(X1))
| ~ r2_hidden(sK591(X0,X2,X1),k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,sK591(X0,X2,X1)),X2)
| ( k1_funct_1(X0,sK592(X0,X1)) != k1_funct_1(X1,sK592(X0,X1)) ) ),
inference(cnf_transformation,[],[f14261]) ).
tcf(c_3858,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP40(X0,X1,X2)
| r2_hidden(sK592(X0,X2),k1_relat_1(X2))
| ~ r2_hidden(sK591(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(sK591(X0,X1,X2),k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,sK591(X0,X1,X2)),X1) ),
inference(cnf_transformation,[],[f14260]) ).
tcf(c_3859,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP40(X0,X2,X1)
| r2_hidden(sK591(X0,X2,X1),k1_relat_1(X1))
| r2_hidden(sK591(X0,X2,X1),k1_relat_1(X0))
| ( k1_funct_1(X0,sK592(X0,X1)) != k1_funct_1(X1,sK592(X0,X1)) ) ),
inference(cnf_transformation,[],[f14259]) ).
tcf(c_3860,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP40(X0,X1,X2)
| r2_hidden(sK592(X0,X2),k1_relat_1(X2))
| r2_hidden(sK591(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK591(X0,X1,X2),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f14258]) ).
tcf(c_3861,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP40(X0,X2,X1)
| r2_hidden(sK591(X0,X2,X1),k1_relat_1(X1))
| r2_hidden(k1_funct_1(X0,sK591(X0,X2,X1)),X2)
| ( k1_funct_1(X0,sK592(X0,X1)) != k1_funct_1(X1,sK592(X0,X1)) ) ),
inference(cnf_transformation,[],[f14257]) ).
tcf(c_3862,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP40(X0,X1,X2)
| r2_hidden(sK592(X0,X2),k1_relat_1(X2))
| r2_hidden(sK591(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X0,sK591(X0,X1,X2)),X1) ),
inference(cnf_transformation,[],[f14256]) ).
tcf(c_3863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,k1_relat_1(X3))
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ sP40(X0,X2,X3)
| ~ r2_hidden(k1_funct_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f14255]) ).
tcf(c_3864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X3,k1_relat_1(X0))
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP40(X0,X1,X2) ),
inference(cnf_transformation,[],[f14254]) ).
tcf(c_3865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k1_funct_1(X0,X3),X1)
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP40(X0,X1,X2) ),
inference(cnf_transformation,[],[f14253]) ).
tcf(c_3866,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))
| ~ sP40(X0,X1,X2) ),
inference(cnf_transformation,[],[f14252]) ).
tcf(c_6536,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP27(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2639,c_2650,c_2645,c_2646,c_2641,c_1359]) ).
tcf(c_6539,plain,
! [X0: $i,X1: $i] :
( v16_lattices(k8_filter_1(X0,X1))
| ~ sP27(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2638,c_2650,c_2647,c_2645,c_2642,c_2646,c_2641,c_2638,c_2651]) ).
tcf(c_6542,plain,
! [X0: $i,X1: $i] :
( v15_lattices(k8_filter_1(X0,X1))
| ~ sP27(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2637,c_2650,c_2648,c_2647,c_2645,c_2643,c_2642,c_2646,c_2641,c_1381]) ).
tcf(c_6545,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP27(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2636,c_2650,c_2647,c_2645,c_2642,c_2646,c_2641,c_2636,c_2651]) ).
tcf(c_6548,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP13(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1392,c_1401,c_1397,c_1398,c_1394,c_1359]) ).
tcf(c_6551,plain,
! [X0: $i,X1: $i] :
( v11_lattices(k8_filter_1(X0,X1))
| ~ sP13(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1391,c_1401,c_1399,c_1397,c_1395,c_1398,c_1394,c_1391,c_1402]) ).
tcf(c_6554,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP13(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1390,c_1401,c_1399,c_1397,c_1395,c_1398,c_1394,c_1390,c_1402]) ).
tcf(c_6557,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP11(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1368,c_1377,c_1373,c_1374,c_1370,c_1359]) ).
tcf(c_6560,plain,
! [X0: $i,X1: $i] :
( v17_lattices(k8_filter_1(X0,X1))
| ~ sP11(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1367,c_1377,c_1375,c_1373,c_1371,c_1374,c_1370,c_1367,c_1378]) ).
tcf(c_6563,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP11(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1366,c_1377,c_1375,c_1373,c_1371,c_1374,c_1370,c_1366,c_1378]) ).
tcf(c_6580,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(k8_filter_1(X0,X1))
| ~ sP27(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2635,c_2650,c_2645,c_2646,c_2641,c_1415]) ).
tcf(c_6581,plain,
! [X0: $i,X1: $i] :
( ~ sP27(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(renaming,[status(thm)],[c_6580]) ).
tcf(c_6591,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(k8_filter_1(X0,X1))
| ~ sP13(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1389,c_1401,c_1397,c_1398,c_1394,c_1415]) ).
tcf(c_6592,plain,
! [X0: $i,X1: $i] :
( ~ sP13(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(renaming,[status(thm)],[c_6591]) ).
tcf(c_6594,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(k8_filter_1(X0,X1))
| ~ sP11(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1365,c_1377,c_1373,c_1374,c_1370,c_1415]) ).
tcf(c_6595,plain,
! [X0: $i,X1: $i] :
( ~ sP11(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(renaming,[status(thm)],[c_6594]) ).
tcf(c_6629,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_1568,c_1470,c_1471]) ).
tcf(c_6630,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_6629]) ).
tcf(c_6805,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_1566,c_1460,c_1472,c_1566,c_6630]) ).
tcf(c_6806,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_6805]) ).
tcf(c_7671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ sP37(X0,X1,X2,X3,X4)
| r2_hidden(X3,X4) ),
inference(prop_impl_just,[status(thm)],[c_3452]) ).
tcf(c_7672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X3,X4)
| ~ sP37(X0,X1,X2,X3,X4) ),
inference(renaming,[status(thm)],[c_7671]) ).
tcf(c_7899,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK185(X0),sK186(X0)),k2_tarski(sK185(X0),sK185(X0))),X0)
| ~ sP9(X0) ),
inference(prop_impl_just,[status(thm)],[c_1022]) ).
tcf(c_7901,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK185(X0),sK187(X0)),k2_tarski(sK185(X0),sK185(X0))),X0)
| ~ sP9(X0) ),
inference(prop_impl_just,[status(thm)],[c_1023]) ).
tcf(c_8135,plain,
! [X0: $i] :
( ~ sP32(X0)
| v13_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_2951]) ).
tcf(c_8136,plain,
! [X0: $i] :
( v13_lattices(X0)
| ~ sP32(X0) ),
inference(renaming,[status(thm)],[c_8135]) ).
tcf(c_8161,plain,
! [X0: $i] :
( ~ sP31(X0)
| v14_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_2941]) ).
tcf(c_8162,plain,
! [X0: $i] :
( v14_lattices(X0)
| ~ sP31(X0) ),
inference(renaming,[status(thm)],[c_8161]) ).
tcf(c_8165,plain,
! [X0: $i,X1: $i] :
( ~ sP11(X0,X1)
| v17_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6560]) ).
tcf(c_8166,plain,
! [X0: $i,X1: $i] :
( v17_lattices(k8_filter_1(X0,X1))
| ~ sP11(X0,X1) ),
inference(renaming,[status(thm)],[c_8165]) ).
tcf(c_8167,plain,
! [X0: $i,X1: $i] :
( ~ sP11(X0,X1)
| v10_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6563]) ).
tcf(c_8168,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP11(X0,X1) ),
inference(renaming,[status(thm)],[c_8167]) ).
tcf(c_8169,plain,
! [X0: $i,X1: $i] :
( ~ sP13(X0,X1)
| v10_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6554]) ).
tcf(c_8170,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP13(X0,X1) ),
inference(renaming,[status(thm)],[c_8169]) ).
tcf(c_8171,plain,
! [X0: $i,X1: $i] :
( ~ sP27(X0,X1)
| v10_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6545]) ).
tcf(c_8172,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP27(X0,X1) ),
inference(renaming,[status(thm)],[c_8171]) ).
tcf(c_8173,plain,
! [X0: $i,X1: $i] :
( ~ sP11(X0,X1)
| l3_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6557]) ).
tcf(c_8174,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP11(X0,X1) ),
inference(renaming,[status(thm)],[c_8173]) ).
tcf(c_8175,plain,
! [X0: $i,X1: $i] :
( ~ sP13(X0,X1)
| l3_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6548]) ).
tcf(c_8176,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP13(X0,X1) ),
inference(renaming,[status(thm)],[c_8175]) ).
tcf(c_8177,plain,
! [X0: $i,X1: $i] :
( ~ sP27(X0,X1)
| l3_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6536]) ).
tcf(c_8178,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP27(X0,X1) ),
inference(renaming,[status(thm)],[c_8177]) ).
tcf(c_8179,plain,
! [X0: $i,X1: $i] :
( ~ sP11(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6595]) ).
tcf(c_8181,plain,
! [X0: $i,X1: $i] :
( ~ sP13(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6592]) ).
tcf(c_8185,plain,
! [X0: $i,X1: $i] :
( ~ sP27(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6581]) ).
tcf(c_8213,plain,
! [X0: $i,X1: $i] :
( ~ sP27(X0,X1)
| v15_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6542]) ).
tcf(c_8214,plain,
! [X0: $i,X1: $i] :
( v15_lattices(k8_filter_1(X0,X1))
| ~ sP27(X0,X1) ),
inference(renaming,[status(thm)],[c_8213]) ).
tcf(c_8217,plain,
! [X0: $i] :
( ~ sP29(X0)
| v15_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_2662]) ).
tcf(c_8218,plain,
! [X0: $i] :
( v15_lattices(X0)
| ~ sP29(X0) ),
inference(renaming,[status(thm)],[c_8217]) ).
tcf(c_8221,plain,
! [X0: $i,X1: $i] :
( ~ sP13(X0,X1)
| v11_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6551]) ).
tcf(c_8222,plain,
! [X0: $i,X1: $i] :
( v11_lattices(k8_filter_1(X0,X1))
| ~ sP13(X0,X1) ),
inference(renaming,[status(thm)],[c_8221]) ).
tcf(c_8673,plain,
! [X0: $i,X1: $i] :
( ~ sP27(X0,X1)
| v16_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6539]) ).
tcf(c_8674,plain,
! [X0: $i,X1: $i] :
( v16_lattices(k8_filter_1(X0,X1))
| ~ sP27(X0,X1) ),
inference(renaming,[status(thm)],[c_8673]) ).
tcf(c_8861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X1,X4)
| ~ sP37(X0,X1,X2,X3,X4) ),
inference(prop_impl_just,[status(thm)],[c_3450]) ).
tcf(c_8863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X2,X4)
| ~ sP37(X0,X1,X2,X3,X4) ),
inference(prop_impl_just,[status(thm)],[c_3451]) ).
tcf(c_20335,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1)
| ~ r1_tarski(X2,X1)
| ~ v3_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(sK56(X0,X1),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_135,c_6755]) ).
tcf(c_54652,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK185(X0),sK185(X0)),k2_tarski(sK185(X0),sK187(X0))),X0)
| ~ sP9(X0) ),
inference(demodulation,[status(thm)],[c_7901,c_2041]) ).
tcf(c_54659,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK185(X0),sK185(X0)),k2_tarski(sK185(X0),sK186(X0))),X0)
| ~ sP9(X0) ),
inference(demodulation,[status(thm)],[c_7899,c_2041]) ).
tcf(c_65032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK434(X0,X1,X3),sK434(X0,X1,X3)),k2_tarski(sK434(X0,X1,X3),sK435(X0,X1,X3))),k1_relat_1(X1))
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP30(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_2753,c_2041]) ).
tcf(c_65042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK432(X0,X1,X3),sK432(X0,X1,X3)),k2_tarski(sK432(X0,X1,X3),sK433(X0,X1,X3))),k1_relat_1(X0))
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP30(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_2752,c_2041]) ).
tcf(c_65491,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP30(X0,X1,X2)
| r2_hidden(sK427(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK430(X0,X1,X2),sK430(X0,X1,X2)),k2_tarski(sK430(X0,X1,X2),sK431(X0,X1,X2))),k1_relat_1(X1)) ),
inference(demodulation,[status(thm)],[c_2749,c_2041]) ).
tcf(c_65501,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP30(X0,X1,X2)
| r2_hidden(sK427(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK428(X0,X1,X2),sK428(X0,X1,X2)),k2_tarski(sK428(X0,X1,X2),sK429(X0,X1,X2))),k1_relat_1(X0)) ),
inference(demodulation,[status(thm)],[c_2748,c_2041]) ).
tcf(c_73912,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))
| ~ sP30(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_2750,c_2026]) ).
tcf(c_75315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP30(X4,X5,X6)
| ~ r2_hidden(sK427(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))) != sK427(X4,X5,X6) ) ),
inference(demodulation,[status(thm)],[c_2746,c_2026]) ).
tcf(c_76576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_zfmisc_1(k2_tarski(sK432(X0,X1,X3),sK432(X0,X1,X3)),k2_tarski(sK434(X0,X1,X3),sK434(X0,X1,X3))),k2_tarski(k2_tarski(k2_tarski(sK432(X0,X1,X3),sK432(X0,X1,X3)),k2_tarski(sK432(X0,X1,X3),sK434(X0,X1,X3))),k2_tarski(k2_tarski(sK433(X0,X1,X3),sK433(X0,X1,X3)),k2_tarski(sK433(X0,X1,X3),sK435(X0,X1,X3))))) = X3 )
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP30(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_2751,c_2026,c_2041]) ).
tcf(c_76644,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP30(X0,X1,X2)
| r2_hidden(sK427(X0,X1,X2),k1_relat_1(X2))
| ( k2_tarski(k2_zfmisc_1(k2_tarski(sK428(X0,X1,X2),sK428(X0,X1,X2)),k2_tarski(sK430(X0,X1,X2),sK430(X0,X1,X2))),k2_tarski(k2_tarski(k2_tarski(sK428(X0,X1,X2),sK428(X0,X1,X2)),k2_tarski(sK428(X0,X1,X2),sK430(X0,X1,X2))),k2_tarski(k2_tarski(sK429(X0,X1,X2),sK429(X0,X1,X2)),k2_tarski(sK429(X0,X1,X2),sK431(X0,X1,X2))))) = sK427(X0,X1,X2) ) ),
inference(demodulation,[status(thm)],[c_2747,c_2026,c_2041]) ).
tcf(c_79246,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_2942,c_8162]) ).
tcf(c_79247,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_79246]) ).
tcf(c_79297,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_2952,c_8136]) ).
tcf(c_79298,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_79297]) ).
tcf(c_79656,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_2663,c_8218]) ).
tcf(c_79657,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_79656]) ).
tcf(c_85052,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_7672,c_3455]) ).
tcf(c_85053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r2_hidden(X0,k2_enumset1(X1,X2,X3,X0)),
inference(unflattening,[status(thm)],[c_85052]) ).
tcf(c_85057,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_8863,c_3455]) ).
tcf(c_85058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r2_hidden(X0,k2_enumset1(X1,X2,X0,X3)),
inference(unflattening,[status(thm)],[c_85057]) ).
tcf(c_85062,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_8861,c_3455]) ).
tcf(c_85063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r2_hidden(X0,k2_enumset1(X1,X0,X2,X3)),
inference(unflattening,[status(thm)],[c_85062]) ).
tcf(c_169078,plain,
! [X0: $i,X1: $i] :
( sP4(X0,X1)
| ~ r2_hidden(X0,sK94(X0,X1)) ),
inference(superposition,[status(thm)],[c_452,c_431]) ).
tcf(c_169079,plain,
! [X0: $i,X1: $i] :
( sP4(X0,X1)
| r2_hidden(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_452,c_427]) ).
tcf(c_169080,plain,
! [X0: $i,X1: $i] :
( sP4(X0,X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_452,c_426]) ).
tcf(c_169081,plain,
! [X0: $i,X1: $i] :
( sP4(X0,X1)
| m1_subset_1(sK94(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_452,c_421]) ).
tcf(c_169082,plain,
! [X0: $i,X1: $i] :
( sP4(k1_zfmisc_1(X0),X1)
| r1_tarski(sK94(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_452,c_126]) ).
tcf(c_169083,plain,
! [X0: $i] : sP4(np__0,X0),
inference(superposition,[status(thm)],[c_452,c_655]) ).
tcf(c_169084,plain,
! [X0: $i] :
( sP4(k1_numbers,X0)
| v1_xreal_0(sK94(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_452,c_2361]) ).
tcf(c_169085,plain,
! [X0: $i] :
( sP4(k4_numbers,X0)
| v1_int_1(sK94(k4_numbers,X0)) ),
inference(superposition,[status(thm)],[c_452,c_3085]) ).
tcf(c_169866,plain,
! [X0: $i] :
( sP7(sK146(X0,np__0))
| r1_tarski(k2_relat_1(sK164(sK146(X0,np__0))),np__0) ),
inference(superposition,[status(thm)],[c_842,c_922]) ).
tcf(c_169867,plain,
( sP7(np__0)
| r1_tarski(k2_relat_1(sK164(np__0)),np__0) ),
inference(superposition,[status(thm)],[c_865,c_922]) ).
tcf(c_169868,plain,
! [X0: $i] :
( sP7(k6_partfun1(X0))
| r1_tarski(k2_relat_1(sK164(k6_partfun1(X0))),X0) ),
inference(superposition,[status(thm)],[c_2853,c_922]) ).
tcf(c_169869,plain,
! [X0: $i] :
( sP7(X0)
| ~ r2_hidden(k1_relat_1(X0),k2_relat_1(sK164(X0))) ),
inference(superposition,[status(thm)],[c_922,c_376]) ).
tcf(c_169885,plain,
! [X0: $i] :
( sP7(sK146(X0,np__0))
| r1_tarski(k2_relat_1(sK165(sK146(X0,np__0))),np__0) ),
inference(superposition,[status(thm)],[c_842,c_923]) ).
tcf(c_169886,plain,
( sP7(np__0)
| r1_tarski(k2_relat_1(sK165(np__0)),np__0) ),
inference(superposition,[status(thm)],[c_865,c_923]) ).
tcf(c_169887,plain,
! [X0: $i] :
( sP7(k6_partfun1(X0))
| r1_tarski(k2_relat_1(sK165(k6_partfun1(X0))),X0) ),
inference(superposition,[status(thm)],[c_2853,c_923]) ).
tcf(c_169888,plain,
! [X0: $i] :
( sP7(X0)
| ~ r2_hidden(k1_relat_1(X0),k2_relat_1(sK165(X0))) ),
inference(superposition,[status(thm)],[c_923,c_376]) ).
tcf(c_169917,plain,
! [X0: $i] :
( sP7(X0)
| sP8(sK165(X0))
| ~ v1_funct_1(sK165(X0)) ),
inference(superposition,[status(thm)],[c_926,c_931]) ).
tcf(c_169918,plain,
! [X0: $i] :
( sP7(X0)
| sP8(sK164(X0))
| ~ v1_funct_1(sK164(X0)) ),
inference(superposition,[status(thm)],[c_928,c_931]) ).
tcf(c_173292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k2_enumset1(X0,X1,X2,X3),X3),
inference(superposition,[status(thm)],[c_85053,c_431]) ).
tcf(c_173293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r2_hidden(sK87(k2_enumset1(X0,X1,X2,X3)),k2_enumset1(X0,X1,X2,X3)),
inference(superposition,[status(thm)],[c_85053,c_427]) ).
tcf(c_173295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : m1_subset_1(X0,k2_enumset1(X1,X2,X3,X0)),
inference(superposition,[status(thm)],[c_85053,c_421]) ).
tcf(c_173299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k2_enumset1(X0,X1,X2,X3),X2),
inference(superposition,[status(thm)],[c_85058,c_431]) ).
tcf(c_173302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : m1_subset_1(X0,k2_enumset1(X1,X2,X0,X3)),
inference(superposition,[status(thm)],[c_85058,c_421]) ).
tcf(c_173303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k2_enumset1(X0,X1,X2,X3),X1),
inference(superposition,[status(thm)],[c_85063,c_431]) ).
tcf(c_173306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : m1_subset_1(X0,k2_enumset1(X1,X0,X2,X3)),
inference(superposition,[status(thm)],[c_85063,c_421]) ).
tcf(c_173445,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP4(k1_funct_2(X0,X1),X2)
| v1_funct_1(sK94(k1_funct_2(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_452,c_3470]) ).
tcf(c_175345,plain,
! [X0: $i] :
( sP7(X0)
| v1_relat_1(k2_relat_1(sK164(X0)))
| ~ v1_relat_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_922,c_377]) ).
tcf(c_175346,plain,
! [X0: $i] :
( sP7(X0)
| v1_relat_1(k2_relat_1(sK165(X0)))
| ~ v1_relat_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_923,c_377]) ).
tcf(c_175572,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK511(X0),u1_struct_0(X0))
| ~ sP33(X0) ),
inference(superposition,[status(thm)],[c_3208,c_423]) ).
tcf(c_175573,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK510(X0),u1_struct_0(X0))
| ~ sP33(X0) ),
inference(superposition,[status(thm)],[c_3209,c_423]) ).
tcf(c_175574,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK509(X0),u1_struct_0(X0))
| ~ sP33(X0) ),
inference(superposition,[status(thm)],[c_3210,c_423]) ).
tcf(c_175575,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK516(X0),u1_struct_0(X0))
| ~ sP34(X0) ),
inference(superposition,[status(thm)],[c_3218,c_423]) ).
tcf(c_175576,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK515(X0),u1_struct_0(X0))
| ~ sP34(X0) ),
inference(superposition,[status(thm)],[c_3219,c_423]) ).
tcf(c_175577,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK514(X0),u1_struct_0(X0))
| ~ sP34(X0) ),
inference(superposition,[status(thm)],[c_3220,c_423]) ).
tcf(c_175578,plain,
! [X0: $i] :
( sP35(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK530(X0),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3366,c_423]) ).
tcf(c_175579,plain,
! [X0: $i] :
( sP35(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK529(X0),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3367,c_423]) ).
tcf(c_175580,plain,
! [X0: $i] :
( sP35(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK528(X0),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3368,c_423]) ).
tcf(c_176272,plain,
! [X0: $i] :
( v1_xboole_0(sK511(X0))
| ~ sP33(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3208,c_425]) ).
tcf(c_176273,plain,
! [X0: $i] :
( v1_xboole_0(sK510(X0))
| ~ sP33(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3209,c_425]) ).
tcf(c_176274,plain,
! [X0: $i] :
( v1_xboole_0(sK509(X0))
| ~ sP33(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3210,c_425]) ).
tcf(c_176275,plain,
! [X0: $i] :
( v1_xboole_0(sK516(X0))
| ~ sP34(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3218,c_425]) ).
tcf(c_176276,plain,
! [X0: $i] :
( v1_xboole_0(sK515(X0))
| ~ sP34(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3219,c_425]) ).
tcf(c_176277,plain,
! [X0: $i] :
( v1_xboole_0(sK514(X0))
| ~ sP34(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3220,c_425]) ).
tcf(c_176278,plain,
! [X0: $i] :
( sP35(X0)
| v1_xboole_0(sK530(X0))
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3366,c_425]) ).
tcf(c_176279,plain,
! [X0: $i] :
( sP35(X0)
| v1_xboole_0(sK529(X0))
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3367,c_425]) ).
tcf(c_176280,plain,
! [X0: $i] :
( sP35(X0)
| v1_xboole_0(sK528(X0))
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3368,c_425]) ).
tcf(c_176496,plain,
! [X0: $i,X1: $i] :
( sP4(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(sK95(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_125,c_451]) ).
tcf(c_176497,plain,
! [X0: $i] :
( sP4(k1_numbers,X0)
| ~ v1_xreal_0(sK95(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_2362,c_451]) ).
tcf(c_176498,plain,
! [X0: $i] :
( sP4(k4_numbers,X0)
| ~ v1_int_1(sK95(k4_numbers,X0)) ),
inference(superposition,[status(thm)],[c_3086,c_451]) ).
tcf(c_176512,plain,
! [X0: $i,X1: $i] :
( sP4(X1,X0)
| v1_xboole_0(sK95(X1,X0))
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_454,c_425]) ).
tcf(c_176513,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(X1))
| sP4(X0,X1)
| r2_hidden(sK95(X0,X1),u1_struct_0(X1)) ),
inference(superposition,[status(thm)],[c_454,c_423]) ).
tcf(c_176524,plain,
! [X0: $i,X1: $i] :
( sP4(X1,X0)
| v1_xboole_0(sK94(X1,X0))
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_455,c_425]) ).
tcf(c_176525,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(X1))
| sP4(X0,X1)
| r2_hidden(sK94(X0,X1),u1_struct_0(X1)) ),
inference(superposition,[status(thm)],[c_455,c_423]) ).
tcf(c_176766,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP4(k2_xboole_0(X0,X1),X2)
| ~ r2_hidden(sK95(k2_xboole_0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_550,c_451]) ).
tcf(c_176890,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP4(k2_xboole_0(X0,X1),X2)
| ~ r2_hidden(sK95(k2_xboole_0(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_551,c_451]) ).
tcf(c_177434,plain,
! [X0: $i] :
( sP7(X0)
| v1_finset_1(k2_relat_1(sK164(X0)))
| ~ v1_finset_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_922,c_802]) ).
tcf(c_177435,plain,
! [X0: $i] :
( sP7(X0)
| v1_finset_1(k2_relat_1(sK165(X0)))
| ~ v1_finset_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_923,c_802]) ).
tcf(c_177688,plain,
! [X0: $i] :
( sP7(X0)
| ( k5_relat_1(np__0,sK165(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_926,c_967]) ).
tcf(c_177689,plain,
! [X0: $i] :
( sP7(X0)
| ( k5_relat_1(np__0,sK164(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_928,c_967]) ).
tcf(c_177778,plain,
! [X0: $i] :
( sP7(X0)
| ( k5_relat_1(sK165(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_926,c_968]) ).
tcf(c_177779,plain,
! [X0: $i] :
( sP7(X0)
| ( k5_relat_1(sK164(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_928,c_968]) ).
tcf(c_178284,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP4(k4_xboole_0(X0,X1),X2)
| r2_hidden(sK94(k4_xboole_0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_452,c_1158]) ).
tcf(c_178705,plain,
! [X0: $i,X1: $i] :
( sP4(X0,X1)
| v4_ordinal2(sK94(X0,X1))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_452,c_1270]) ).
tcf(c_178748,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_85053,c_1270]) ).
tcf(c_178749,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_85058,c_1270]) ).
tcf(c_178750,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_85063,c_1270]) ).
tcf(c_179376,plain,
! [X0: $i,X1: $i] :
( sP4(X0,X1)
| v1_xcmplx_0(sK94(X0,X1))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_452,c_1718]) ).
tcf(c_179420,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_85053,c_1718]) ).
tcf(c_179421,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_85058,c_1718]) ).
tcf(c_179422,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_85063,c_1718]) ).
tcf(c_179665,plain,
! [X0: $i,X1: $i] :
( sP4(X1,X0)
| v1_xcmplx_0(sK95(X1,X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_454,c_1721]) ).
tcf(c_179666,plain,
! [X0: $i,X1: $i] :
( sP4(X1,X0)
| v1_xcmplx_0(sK94(X1,X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_455,c_1721]) ).
tcf(c_179680,plain,
! [X0: $i] :
( v1_xcmplx_0(sK511(X0))
| ~ sP33(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3208,c_1721]) ).
tcf(c_179681,plain,
! [X0: $i] :
( v1_xcmplx_0(sK510(X0))
| ~ sP33(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3209,c_1721]) ).
tcf(c_179682,plain,
! [X0: $i] :
( v1_xcmplx_0(sK509(X0))
| ~ sP33(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3210,c_1721]) ).
tcf(c_179683,plain,
! [X0: $i] :
( v1_xcmplx_0(sK516(X0))
| ~ sP34(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3218,c_1721]) ).
tcf(c_179684,plain,
! [X0: $i] :
( v1_xcmplx_0(sK515(X0))
| ~ sP34(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3219,c_1721]) ).
tcf(c_179685,plain,
! [X0: $i] :
( v1_xcmplx_0(sK514(X0))
| ~ sP34(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3220,c_1721]) ).
tcf(c_179686,plain,
! [X0: $i] :
( sP35(X0)
| v1_xcmplx_0(sK530(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3366,c_1721]) ).
tcf(c_179687,plain,
! [X0: $i] :
( sP35(X0)
| v1_xcmplx_0(sK529(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3367,c_1721]) ).
tcf(c_179688,plain,
! [X0: $i] :
( sP35(X0)
| v1_xcmplx_0(sK528(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3368,c_1721]) ).
tcf(c_180444,plain,
! [X0: $i,X1: $i] :
( sP4(X1,X0)
| v1_xreal_0(sK95(X1,X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_454,c_1722]) ).
tcf(c_180445,plain,
! [X0: $i,X1: $i] :
( sP4(X1,X0)
| v1_xreal_0(sK94(X1,X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_455,c_1722]) ).
tcf(c_180459,plain,
! [X0: $i] :
( v1_xreal_0(sK511(X0))
| ~ sP33(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3208,c_1722]) ).
tcf(c_180460,plain,
! [X0: $i] :
( v1_xreal_0(sK510(X0))
| ~ sP33(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3209,c_1722]) ).
tcf(c_180461,plain,
! [X0: $i] :
( v1_xreal_0(sK509(X0))
| ~ sP33(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3210,c_1722]) ).
tcf(c_180462,plain,
! [X0: $i] :
( v1_xreal_0(sK516(X0))
| ~ sP34(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3218,c_1722]) ).
tcf(c_180463,plain,
! [X0: $i] :
( v1_xreal_0(sK515(X0))
| ~ sP34(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3219,c_1722]) ).
tcf(c_180464,plain,
! [X0: $i] :
( v1_xreal_0(sK514(X0))
| ~ sP34(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3220,c_1722]) ).
tcf(c_180465,plain,
! [X0: $i] :
( sP35(X0)
| v1_xreal_0(sK530(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3366,c_1722]) ).
tcf(c_180466,plain,
! [X0: $i] :
( sP35(X0)
| v1_xreal_0(sK529(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3367,c_1722]) ).
tcf(c_180467,plain,
! [X0: $i] :
( sP35(X0)
| v1_xreal_0(sK528(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3368,c_1722]) ).
tcf(c_181434,plain,
! [X0: $i,X1: $i] :
( sP4(X1,X0)
| v1_xcmplx_0(sK95(X1,X0))
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_454,c_1723]) ).
tcf(c_181435,plain,
! [X0: $i,X1: $i] :
( sP4(X1,X0)
| v1_xcmplx_0(sK94(X1,X0))
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_455,c_1723]) ).
tcf(c_181449,plain,
! [X0: $i] :
( v1_xcmplx_0(sK511(X0))
| ~ sP33(X0)
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3208,c_1723]) ).
tcf(c_181450,plain,
! [X0: $i] :
( v1_xcmplx_0(sK510(X0))
| ~ sP33(X0)
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3209,c_1723]) ).
tcf(c_181451,plain,
! [X0: $i] :
( v1_xcmplx_0(sK509(X0))
| ~ sP33(X0)
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3210,c_1723]) ).
tcf(c_181452,plain,
! [X0: $i] :
( v1_xcmplx_0(sK516(X0))
| ~ sP34(X0)
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3218,c_1723]) ).
tcf(c_181453,plain,
! [X0: $i] :
( v1_xcmplx_0(sK515(X0))
| ~ sP34(X0)
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3219,c_1723]) ).
tcf(c_181454,plain,
! [X0: $i] :
( v1_xcmplx_0(sK514(X0))
| ~ sP34(X0)
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3220,c_1723]) ).
tcf(c_181455,plain,
! [X0: $i] :
( sP35(X0)
| v1_xcmplx_0(sK530(X0))
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3366,c_1723]) ).
tcf(c_181456,plain,
! [X0: $i] :
( sP35(X0)
| v1_xcmplx_0(sK529(X0))
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3367,c_1723]) ).
tcf(c_181457,plain,
! [X0: $i] :
( sP35(X0)
| v1_xcmplx_0(sK528(X0))
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3368,c_1723]) ).
tcf(c_182303,plain,
! [X0: $i] :
( sP7(X0)
| v1_membered(k2_relat_1(sK164(X0)))
| ~ v1_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_922,c_1733]) ).
tcf(c_182304,plain,
! [X0: $i] :
( sP7(X0)
| v1_membered(k2_relat_1(sK165(X0)))
| ~ v1_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_923,c_1733]) ).
tcf(c_182509,plain,
! [X0: $i] :
( sP7(X0)
| ( k9_relat_1(sK165(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_926,c_1870]) ).
tcf(c_182510,plain,
! [X0: $i] :
( sP7(X0)
| ( k9_relat_1(sK164(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_928,c_1870]) ).
tcf(c_182786,plain,
! [X0: $i] :
( sP7(X0)
| ( k7_relat_1(sK165(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_926,c_1911]) ).
tcf(c_182787,plain,
! [X0: $i] :
( sP7(X0)
| ( k7_relat_1(sK164(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_928,c_1911]) ).
tcf(c_183038,plain,
! [X0: $i] :
( sP7(X0)
| ( k10_relat_1(sK165(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_926,c_1970]) ).
tcf(c_183039,plain,
! [X0: $i] :
( sP7(X0)
| ( k10_relat_1(sK164(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_928,c_1970]) ).
tcf(c_183910,plain,
! [X0: $i] :
( sP7(X0)
| v4_membered(k2_relat_1(sK164(X0)))
| ~ v4_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_922,c_2107]) ).
tcf(c_183911,plain,
! [X0: $i] :
( sP7(X0)
| v4_membered(k2_relat_1(sK165(X0)))
| ~ v4_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_923,c_2107]) ).
tcf(c_184201,plain,
! [X0: $i,X1: $i] :
( sP4(X0,X1)
| v1_int_1(sK94(X0,X1))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_452,c_2115]) ).
tcf(c_184246,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_85053,c_2115]) ).
tcf(c_184247,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_85058,c_2115]) ).
tcf(c_184248,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_85063,c_2115]) ).
tcf(c_184767,plain,
! [X0: $i] :
( sP7(X0)
| v3_membered(k2_relat_1(sK164(X0)))
| ~ v3_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_922,c_2215]) ).
tcf(c_184768,plain,
! [X0: $i] :
( sP7(X0)
| v3_membered(k2_relat_1(sK165(X0)))
| ~ v3_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_923,c_2215]) ).
tcf(c_185047,plain,
! [X0: $i] :
( sP7(X0)
| v2_membered(k2_relat_1(sK164(X0)))
| ~ v2_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_922,c_2241]) ).
tcf(c_185048,plain,
! [X0: $i] :
( sP7(X0)
| v2_membered(k2_relat_1(sK165(X0)))
| ~ v2_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_923,c_2241]) ).
tcf(c_185409,plain,
! [X0: $i,X1: $i] :
( sP4(X0,X1)
| v1_xreal_0(sK94(X0,X1))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_452,c_2249]) ).
tcf(c_185455,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_85053,c_2249]) ).
tcf(c_185456,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_85058,c_2249]) ).
tcf(c_185457,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_85063,c_2249]) ).
tcf(c_185760,plain,
! [X0: $i,X1: $i] :
( sP4(X0,X1)
| v3_ordinal1(sK94(X0,X1))
| ~ v3_ordinal1(X0) ),
inference(superposition,[status(thm)],[c_452,c_2262]) ).
tcf(c_185806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_ordinal1(X3)
| ~ v3_ordinal1(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_85053,c_2262]) ).
tcf(c_185807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_ordinal1(X2)
| ~ v3_ordinal1(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_85058,c_2262]) ).
tcf(c_185808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_ordinal1(X1)
| ~ v3_ordinal1(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_85063,c_2262]) ).
tcf(c_186470,plain,
! [X0: $i] :
( sP7(X0)
| v5_membered(k2_relat_1(sK164(X0)))
| ~ v5_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_922,c_2333]) ).
tcf(c_186471,plain,
! [X0: $i] :
( sP7(X0)
| v5_membered(k2_relat_1(sK165(X0)))
| ~ v5_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_923,c_2333]) ).
tcf(c_187084,plain,
! [X0: $i] :
( sP21(np__0,X0)
| v3_xreal_0(sK395(np__0,X0))
| ~ v1_xreal_0(sK395(np__0,X0)) ),
inference(superposition,[status(thm)],[c_3352,c_2455]) ).
tcf(c_187085,plain,
! [X0: $i] : sP21(np__1,X0),
inference(superposition,[status(thm)],[c_2454,c_2455]) ).
tcf(c_187095,plain,
! [X0: $i,X1: $i] :
( sP21(X0,X1)
| r2_wellord2(k2_finseq_1(sK395(X0,X1)),sK395(X0,X1)) ),
inference(superposition,[status(thm)],[c_2457,c_1307]) ).
tcf(c_187096,plain,
! [X0: $i,X1: $i] :
( sP21(X0,X1)
| v1_finset_1(sK395(X0,X1)) ),
inference(superposition,[status(thm)],[c_2457,c_789]) ).
tcf(c_189011,plain,
! [X0: $i,X1: $i,X2: $i] : k1_setfam_1(k2_enumset1(X0,X1,X2,np__0)) = np__0,
inference(superposition,[status(thm)],[c_85053,c_3410]) ).
tcf(c_189012,plain,
! [X0: $i,X1: $i,X2: $i] : k1_setfam_1(k2_enumset1(X0,X1,np__0,X2)) = np__0,
inference(superposition,[status(thm)],[c_85058,c_3410]) ).
tcf(c_189013,plain,
! [X0: $i,X1: $i,X2: $i] : k1_setfam_1(k2_enumset1(X0,np__0,X1,X2)) = np__0,
inference(superposition,[status(thm)],[c_85063,c_3410]) ).
tcf(c_189064,plain,
! [X0: $i] :
( sP7(X0)
| ( k8_relat_1(np__0,sK165(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_926,c_3874]) ).
tcf(c_189065,plain,
! [X0: $i] :
( sP7(X0)
| ( k8_relat_1(np__0,sK164(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_928,c_3874]) ).
tcf(c_189540,plain,
! [X0: $i] :
( sP7(X0)
| ( k4_relat_1(k4_relat_1(sK165(X0))) = sK165(X0) ) ),
inference(superposition,[status(thm)],[c_926,c_3920]) ).
tcf(c_189541,plain,
! [X0: $i] :
( sP7(X0)
| ( k4_relat_1(k4_relat_1(sK164(X0))) = sK164(X0) ) ),
inference(superposition,[status(thm)],[c_928,c_3920]) ).
tcf(c_191664,plain,
! [X0: $i] :
( sP7(X0)
| ( k2_xboole_0(k2_relat_1(sK164(X0)),k1_relat_1(X0)) = k1_relat_1(X0) ) ),
inference(superposition,[status(thm)],[c_922,c_535]) ).
tcf(c_191665,plain,
! [X0: $i] :
( sP7(X0)
| ( k2_xboole_0(k2_relat_1(sK165(X0)),k1_relat_1(X0)) = k1_relat_1(X0) ) ),
inference(superposition,[status(thm)],[c_923,c_535]) ).
tcf(c_191810,plain,
! [X0: $i] :
( sP7(X0)
| ( k2_xboole_0(k1_relat_1(X0),k2_relat_1(sK165(X0))) = k1_relat_1(X0) ) ),
inference(theory_normalisation,[status(thm)],[c_191665,c_543,c_546,c_3131,c_3133]) ).
tcf(c_191813,plain,
! [X0: $i] :
( sP7(X0)
| ( k2_xboole_0(k1_relat_1(X0),k2_relat_1(sK164(X0))) = k1_relat_1(X0) ) ),
inference(theory_normalisation,[status(thm)],[c_191664,c_543,c_546,c_3131,c_3133]) ).
tcf(c_192082,plain,
! [X0: $i] :
( sP7(sK120(X0))
| r1_tarski(k2_relat_1(sK165(sK120(X0))),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_648,c_923]) ).
tcf(c_192083,plain,
! [X0: $i] :
( sP7(sK120(X0))
| r1_tarski(k2_relat_1(sK164(sK120(X0))),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_648,c_922]) ).
tcf(c_192151,plain,
! [X0: $i] :
( sP7(sK121(X0))
| r1_tarski(k2_relat_1(sK165(sK121(X0))),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_649,c_923]) ).
tcf(c_192152,plain,
! [X0: $i] :
( sP7(sK121(X0))
| r1_tarski(k2_relat_1(sK164(sK121(X0))),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_649,c_922]) ).
tcf(c_192503,plain,
! [X0: $i] :
( sP7(X0)
| v1_xboole_0(k2_relat_1(sK164(X0)))
| ~ r1_xboole_0(k2_relat_1(sK164(X0)),k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_922,c_719]) ).
tcf(c_192504,plain,
! [X0: $i] :
( sP7(X0)
| v1_xboole_0(k2_relat_1(sK165(X0)))
| ~ r1_xboole_0(k2_relat_1(sK165(X0)),k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_923,c_719]) ).
tcf(c_193558,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ( k1_relat_1(sK164(X0)) = k1_relat_1(sK165(X0)) )
| ~ sP8(X0) ),
inference(superposition,[status(thm)],[c_924,c_919]) ).
tcf(c_194505,plain,
! [X0: $i,X1: $i] :
( sP4(k2_tarski(X0,X0),X1)
| ( sK94(k2_tarski(X0,X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_452,c_1116]) ).
tcf(c_194806,plain,
! [X0: $i] :
( sP7(X0)
| ( k4_xboole_0(k2_relat_1(sK164(X0)),k1_relat_1(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_922,c_1145]) ).
tcf(c_194807,plain,
! [X0: $i] :
( sP7(X0)
| ( k4_xboole_0(k2_relat_1(sK165(X0)),k1_relat_1(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_923,c_1145]) ).
tcf(c_195303,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP4(k4_xboole_0(X0,X1),X2)
| ~ r2_hidden(sK94(k4_xboole_0(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_452,c_1159]) ).
tcf(c_195619,plain,
! [X0: $i,X1: $i] :
( sP4(X0,X1)
| v1_finset_1(sK94(X0,X1))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_452,c_1170]) ).
tcf(c_195666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_finset_1(X3)
| ~ v1_finset_1(k3_tarski(k2_enumset1(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_85053,c_1170]) ).
tcf(c_195667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_finset_1(X2)
| ~ v1_finset_1(k3_tarski(k2_enumset1(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_85058,c_1170]) ).
tcf(c_195668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_finset_1(X1)
| ~ v1_finset_1(k3_tarski(k2_enumset1(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_85063,c_1170]) ).
tcf(c_197992,plain,
! [X0: $i,X1: $i] :
( sP16(k8_filter_1(X0,X1))
| v3_struct_0(k8_filter_1(X0,X1))
| ~ sP15(X1,X0)
| ~ l3_lattices(k8_filter_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1413,c_1471]) ).
tcf(c_197993,plain,
! [X0: $i] :
( sP16(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP16(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_1470,c_1471]) ).
tcf(c_197994,plain,
! [X0: $i,X1: $i] :
( sP16(k8_filter_0(X0,X1))
| v3_struct_0(k8_filter_0(X0,X1))
| ~ sP17(X1,X0)
| ~ l3_lattices(k8_filter_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1482,c_1471]) ).
tcf(c_199554,plain,
! [X0: $i] :
( sP7(X0)
| ( k7_relat_1(sK165(X0),k1_relat_1(sK165(X0))) = sK165(X0) ) ),
inference(superposition,[status(thm)],[c_926,c_1923]) ).
tcf(c_199555,plain,
! [X0: $i] :
( sP7(X0)
| ( k7_relat_1(sK164(X0),k1_relat_1(sK164(X0))) = sK164(X0) ) ),
inference(superposition,[status(thm)],[c_928,c_1923]) ).
tcf(c_199824,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_199800,c_199776,c_199765,c_199764,c_199763,c_199762,c_199761,c_199760,c_199759,c_199758,c_199756,c_199755,c_199754,c_199753,c_199752,c_199751,c_199750,c_199749,c_199748,c_199747,c_199746,c_199745,c_199744,c_199583,c_199581,c_199580,c_199579,c_199578,c_199577,c_199576,c_199575,c_199574,c_199573,c_199572,c_199571,c_199570,c_199569,c_199568,c_199567,c_199566,c_199565,c_199564,c_199563,c_199562,c_199561,c_199560,c_199559,c_199558,c_199557,c_199556,c_199555,c_199554,c_199553,c_199552,c_199551,c_199550,c_199549,c_199548,c_199547,c_199546,c_199545,c_199544,c_199543,c_199542,c_199541,c_199540,c_199514,c_199490,c_199471,c_199470,c_199469,c_199468,c_199467,c_199466,c_199465,c_199464,c_199462,c_199461,c_199460,c_199459,c_199458,c_199457,c_199456,c_199455,c_199454,c_199453,c_199452,c_199451,c_199450,c_199449,c_199448,c_199419,c_199407,c_199406,c_199405,c_199404,c_199403,c_199402,c_199401,c_199394,c_199391,c_199390,c_199389,c_199388,c_199386,c_199385,c_199383,c_199382,c_199379,c_199375,c_199373,c_199372,c_199369,c_199368,c_199365,c_199364,c_199363,c_199360,c_199344,c_199343,c_199339,c_199338,c_199337,c_199336,c_199335,c_199334,c_199333,c_199340,c_199331,c_199323,c_199316,c_199315,c_199314,c_199313,c_199312,c_199306,c_199299,c_199298,c_199297,c_199296,c_199295,c_199197,c_199185,c_199184,c_199183,c_199182,c_199181,c_199180,c_199179,c_199172,c_199171,c_199164,c_199161,c_199160,c_199159,c_199153,c_199148,c_199147,c_199146,c_199145,c_199131,c_199120,c_199119,c_199118,c_199116,c_199113,c_199111,c_199110,c_199108,c_199107,c_199106,c_199105,c_199104,c_199103,c_199102,c_199098,c_199094,c_199093,c_199092,c_199091,c_199090,c_199089,c_199088,c_199087,c_199046,c_199045,c_199044,c_199043,c_199042,c_199041,c_199040,c_199039,c_199037,c_199030,c_199029,c_199028,c_199027,c_199026,c_199016,c_199003,c_198951,c_198950,c_198949,c_198948,c_198947,c_198946,c_198955,c_198927,c_198915,c_198914,c_198913,c_198912,c_198911,c_198910,c_198909,c_198902,c_198858,c_198856,c_198855,c_198764,c_198763,c_198762,c_198761,c_198760,c_198759,c_198768,c_198707,c_198703,c_198702,c_198701,c_198700,c_198699,c_198698,c_198697,c_198706,c_198644,c_198643,c_198642,c_198641,c_198640,c_198639,c_198648,c_198596,c_198585,c_198584,c_198579,c_198575,c_198574,c_198573,c_198572,c_198571,c_198570,c_198569,c_198578,c_198550,c_198538,c_198537,c_198536,c_198535,c_198534,c_198533,c_198532,c_198525,c_198417,c_198413,c_198412,c_198411,c_198410,c_198409,c_198408,c_198407,c_198416,c_198395,c_198341,c_198322,c_198321,c_198320,c_198319,c_198318,c_198317,c_198316,c_198315,c_198314,c_198312,c_198311,c_198310,c_198309,c_198308,c_198307,c_198306,c_198305,c_198304,c_198303,c_198302,c_198301,c_198300,c_198299,c_198298,c_198282,c_198270,c_198269,c_198268,c_198267,c_198266,c_198265,c_198264,c_198257,c_198087,c_198086,c_198085,c_198082,c_198057,c_198056,c_198055,c_198054,c_198053,c_198052,c_198051,c_198050,c_198049,c_198048,c_198047,c_198046,c_198045,c_198044,c_198043,c_198042,c_198041,c_198039,c_198038,c_198037,c_198036,c_198035,c_198034,c_198033,c_198032,c_198030,c_198004,c_198003,c_198002,c_198001,c_198000,c_197999,c_197998,c_197997,c_197996,c_197995,c_197994,c_197993,c_197992,c_197975,c_197974,c_197973,c_197972,c_197971,c_197970,c_197969,c_197968,c_197952,c_197940,c_197939,c_197938,c_197937,c_197936,c_197935,c_197934,c_197927,c_197926,c_197916,c_197915,c_197911,c_197910,c_197904,c_197901,c_197891,c_197878,c_197877,c_197876,c_197875,c_197871,c_197870,c_197867,c_197860,c_197858,c_197855,c_197849,c_197842,c_197841,c_197839,c_197837,c_197836,c_197830,c_197827,c_197817,c_197805,c_197804,c_197803,c_197802,c_197801,c_197798,c_197797,c_197794,c_197787,c_197785,c_197782,c_197781,c_197773,c_197772,c_197765,c_197760,c_197759,c_197744,c_197728,c_197713,c_197693,c_197681,c_197680,c_197679,c_197678,c_197677,c_197676,c_197675,c_197668,c_197562,c_197559,c_197558,c_197557,c_197555,c_197554,c_197553,c_197537,c_197521,c_197520,c_197519,c_197517,c_197516,c_197507,c_197506,c_197505,c_197502,c_197501,c_197500,c_197498,c_197491,c_197490,c_197486,c_197481,c_197475,c_197474,c_197473,c_197472,c_197471,c_197470,c_197469,c_197468,c_197467,c_197466,c_197456,c_197452,c_197444,c_197443,c_197442,c_197439,c_197438,c_197437,c_197435,c_197434,c_197426,c_197425,c_197424,c_197423,c_197420,c_197419,c_197418,c_197409,c_197408,c_197399,c_197386,c_197369,c_197368,c_197355,c_197354,c_197289,c_197277,c_197276,c_197275,c_197274,c_197273,c_197272,c_197271,c_197264,c_197125,c_197115,c_197114,c_197113,c_197112,c_197111,c_197110,c_197108,c_197107,c_197106,c_197079,c_197075,c_197067,c_197066,c_197065,c_197062,c_197061,c_197060,c_197058,c_197057,c_197049,c_197048,c_197047,c_197046,c_197043,c_197042,c_197041,c_197040,c_197037,c_197029,c_197025,c_197022,c_197021,c_197018,c_197017,c_197016,c_197006,c_196989,c_196988,c_196987,c_196985,c_196984,c_196975,c_196974,c_196973,c_196970,c_196969,c_196968,c_196963,c_196962,c_196936,c_196933,c_196932,c_196929,c_196928,c_196927,c_196913,c_196897,c_196896,c_196895,c_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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT286+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 20:50:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 189.43/29.15 % SZS status Started for theBenchmark.p
% 189.43/29.15 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")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/9rb7b14_ 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/9rb7b14__error
% 189.43/29.15 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")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/vdvb3eaa 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/vdvb3eaa_error
% 189.43/29.15 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")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/exjtt_8g 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/exjtt_8g_error
% 189.43/29.15 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")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/nm8p0ist 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/nm8p0ist_error
% 189.43/29.15 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")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/wdat98xp 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/wdat98xp_error
% 189.43/29.15 ERROR - "ProverProcess:heur/469570:4.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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 3.0 --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 8 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag false --inst_learning_start 2048 --inst_lit_activity_flag false --inst_lit_sel "[-split;+split;-split;+sign;+prop]" --inst_lit_sel_side num_lit --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[+horn;-min_def_symb];[-max_atom_input_occur;-age];[-epr;+horn;-num_var]]" --inst_passive_queues_freq "[1;3;8]" --inst_prop_sim_given true --inst_prop_sim_new true --inst_restr_to_given true --inst_sel_renew model --inst_solver_calls_frac 0.6281415715675588 --inst_solver_per_active 128 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[-eq;-conj_symb;-sign;+num_var]" --inst_start_prop_sim_after_learn 2 --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 1.33" --time_out_real 4.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/80csoq1u 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/80csoq1u_error
% 189.43/29.15 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")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/w5bczkpm 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/w5bczkpm_error
% 189.43/29.15 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")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/y1np5mvm 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/y1np5mvm_error
% 189.43/29.15 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")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/nettq0a4 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/nettq0a4_error
% 189.43/29.15 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")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/m7zxci58 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/m7zxci58_error
% 189.43/29.15 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")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/uvuuy7hg 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/uvuuy7hg_error
% 189.43/29.15 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")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/pgb90w8h 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/pgb90w8h_error
% 189.43/29.15 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")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/64mc7pn1 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/64mc7pn1_error
% 189.43/29.15 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")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/grn_yh32 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/grn_yh32_error
% 189.43/29.15 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")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/k3ret4eh 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/k3ret4eh_error
% 189.43/29.15 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")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/u8zv6j0y 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/u8zv6j0y_error
% 189.43/29.15 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")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/l3sop6ny 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/l3sop6ny_error
% 189.43/29.15 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")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/9rvpyvoy 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/9rvpyvoy_error
% 189.43/29.15 ERROR - "ProverProcess:heur/445546:5.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 64 --comb_mode time_based --comb_res_mult 1 --comb_sup_deep_mult 0 --comb_sup_mult 4 --conj_cone_tolerance 2.928236952905468 --demod_completeness_check fast --demod_use_ground false --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 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 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 "[SubsumptionRes;LightNorm;ACNormalisation]" --sup_full_triv "[]" --sup_fun_splitting true --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[]" --sup_immed_fw_main "[]" --sup_immed_triv "[Unflattening]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[Subsumption;SubsumptionRes;ACJoinability]" --sup_input_triv "[PropSubs;Unflattening]" --sup_iter_deepening 16 --sup_passive_queue_type list --sup_passive_queues "[[-max_atom_input_occur];[+conj_dist;+epr];[-num_symb;-num_var;-num_lits]]" --sup_passive_queues_freq "[2;512;3]" --sup_prop_simpl_given false --sup_prop_simpl_new false --sup_restarts_mult 0 --sup_score sim_gen --sup_share_max_num_cl 10 --sup_share_score_frac 0.8 --sup_smt_interval 10000 --sup_symb_ordering invfreq_invarity --sup_to_prop_solver none --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 1.67" --time_out_real 5.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/njy7a7z0 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/njy7a7z0_error
% 189.43/29.15 ERROR - "ProverProcess:heur/389350:5.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 189.43/29.15 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 6 --conj_cone_tolerance 3. --demod_completeness_check full --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 true --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[Demod;LightNorm]" --sup_immed_fw_main "[UnitSubsAndRes;Demod;DemodLoopTriv;LightNorm;DemodLightNormLoopTriv;ACJoinability;ACNormalisation]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[Subsumption;SubsumptionRes;UnitSubsAndRes;Demod]" --sup_input_fw "[Subsumption;Demod;LightNorm;ACJoinability]" --sup_input_triv "[]" --sup_iter_deepening 2 --sup_passive_queue_type queue --sup_passive_queues "[[+epr;-epr;-age]]" --sup_passive_queues_freq "[2]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 4 --sup_score sim --sup_share_max_num_cl 20 --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 1.67" --time_out_real 5.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/nfg7puif 2>> /export/starexec/sandbox2/tmp/iprover_out_1d9i3kjr/nfg7puif_error
% 189.43/29.15 % SZS status Theorem for theBenchmark.p
% 189.43/29.15
% 189.43/29.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 189.43/29.15
% 189.43/29.15 % ------ iProver source info
% 189.43/29.15
% 189.43/29.15 % git: date: 2026-07-19 20:42:38 +0200
% 189.43/29.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 189.43/29.15 % git: non_committed_changes: false
% 189.43/29.15
% 189.43/29.15 % ------ Parsing...
% 189.43/29.15 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 189.43/29.15
% 189.43/29.15 % ------ Preprocessing... sup_sim: 275 sf_s rm: 7 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e %
% 189.43/29.15
% 189.43/29.15 % ------ Preprocessing... gs_s sp: 12 0s gs_e snvd_s sp: 0 0s snvd_e %
% 189.43/29.15
% 189.43/29.15 % ------ Preprocessing... sf_s rm: 11 0s sf_e
% 189.43/29.15 % ------ Proving...
% 189.43/29.15 % ------ Problem Properties
% 189.43/29.15
% 189.43/29.15 %
% 189.43/29.15 % clauses 3613
% 189.43/29.15 % conjectures 4
% 189.43/29.15 % EPR 536
% 189.43/29.15 % Horn 2226
% 189.43/29.15 % unary 459
% 189.43/29.15 % binary 719
% 189.43/29.15 % lits 15436
% 189.43/29.15 % lits eq 1756
% 189.43/29.15 % fd_pure 0
% 189.43/29.15 % fd_pseudo 0
% 189.43/29.15 % fd_cond 142
% 189.43/29.15 % fd_pseudo_cond 361
% 189.43/29.15 % AC symbols 2
% 189.43/29.15
% 189.43/29.15 % ------ Schedule dynamic 5 is on
% 189.43/29.15
% 189.43/29.15 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 189.43/29.15
% 189.43/29.15
% 189.43/29.15 % ------
% 189.43/29.15 % Current options:
% 189.43/29.15 % ------
% 189.43/29.15
% 189.43/29.15
% 189.43/29.15 %
% 189.43/29.15
% 189.43/29.15 % ------ Proving...
% 189.43/29.15 %
% 189.43/29.15
% 189.43/29.15 % SZS status Theorem for theBenchmark.p
% 189.43/29.15
% 189.43/29.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 214.70/29.38
% 214.70/29.38
%------------------------------------------------------------------------------