%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT288+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 : n002.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 01:58:44 PM UTC 2026
% Result : Theorem 113.04s 32.18s
% Output : CNFRefutation 238.33s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f12299ERROR: Could not build tree for root c_356362ERROR: 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(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(f24,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',fc1_xboole_0) ).
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(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(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(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(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(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(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(f124,axiom,
! [X0,X1] : k4_xboole_0(k2_xboole_0(X0,X1),k3_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+4.ax',t55_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(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(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(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(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(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(f258,axiom,
! [X0] : k2_tarski(X0,X0) = k1_tarski(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+5.ax',t69_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(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(f339,axiom,
! [X0,X1] : k2_xboole_0(k1_tarski(X0),k2_tarski(X0,X1)) = k2_tarski(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t14_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(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(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(f462,axiom,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(X0,k2_zfmisc_1(X3,X4))
& r2_hidden(X0,k2_zfmisc_1(X1,X2)) )
=> r2_hidden(X0,k2_zfmisc_1(k3_xboole_0(X1,X3),k3_xboole_0(X2,X4))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t137_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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(f2491,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k5_finsub_1(X0))
=> ! [X3] :
( ( m2_relset_1(X3,X0,k5_finsub_1(X1))
& v1_funct_2(X3,X0,k5_finsub_1(X1))
& v1_funct_1(X3) )
=> k10_setwiseo(X0,X1,X2,X3) = k7_setwiseo(X0,k5_finsub_1(X1),k9_setwiseo(X1),X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+33.ax',d5_setwiseo) ).
fof(f2492,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( ( m2_relset_1(X2,X0,k5_finsub_1(X1))
& v1_funct_2(X2,X0,k5_finsub_1(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,X0)
=> k10_setwiseo(X0,X1,k2_setwiseo(X0,X3),X2) = k8_funct_2(X0,k5_finsub_1(X1),X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+33.ax',t56_setwiseo) ).
fof(f2495,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( ( m2_relset_1(X2,X0,k5_finsub_1(X1))
& v1_funct_2(X2,X0,k5_finsub_1(X1))
& v1_funct_1(X2) )
=> k10_setwiseo(X0,X1,k1_setwiseo(X0),X2) = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+33.ax',t59_setwiseo) ).
fof(f2496,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( ( m2_relset_1(X2,X0,k5_finsub_1(X1))
& v1_funct_2(X2,X0,k5_finsub_1(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,k5_finsub_1(X0))
=> k10_setwiseo(X0,X1,k5_setwiseo(X0,X4,k2_setwiseo(X0,X3)),X2) = k5_setwiseo(X1,k10_setwiseo(X0,X1,X4,X2),k8_funct_2(X0,k5_finsub_1(X1),X2,X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+33.ax',t60_setwiseo) ).
fof(f2498,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( ( m2_relset_1(X2,X0,k5_finsub_1(X1))
& v1_funct_2(X2,X0,k5_finsub_1(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k5_finsub_1(X0))
=> k10_setwiseo(X0,X1,k5_setwiseo(X0,X3,X4),X2) = k5_setwiseo(X1,k10_setwiseo(X0,X1,X3,X2),k10_setwiseo(X0,X1,X4,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+33.ax',t62_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(f2501,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ( ( v1_setwiseo(X3,X1)
& v3_binop_1(X3,X1)
& v2_binop_1(X3,X1)
& v1_binop_1(X3,X1) )
=> ! [X4] :
( ( m2_relset_1(X4,X0,k5_finsub_1(X2))
& v1_funct_2(X4,X0,k5_finsub_1(X2))
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k5_finsub_1(X2),X1)
& v1_funct_2(X5,k5_finsub_1(X2),X1)
& v1_funct_1(X5) )
=> ( ( ! [X6] :
( m1_subset_1(X6,k5_finsub_1(X2))
=> ! [X7] :
( m1_subset_1(X7,k5_finsub_1(X2))
=> k8_funct_2(k5_finsub_1(X2),X1,X5,k5_setwiseo(X2,X6,X7)) = k2_binop_1(X1,X1,X1,X3,k8_funct_2(k5_finsub_1(X2),X1,X5,X6),k8_funct_2(k5_finsub_1(X2),X1,X5,X7)) ) )
& k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) = k3_binop_1(X1,X3) )
=> ! [X6] :
( m1_subset_1(X6,k5_finsub_1(X0))
=> k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X6,X4)) = k7_setwiseo(X0,X1,X3,X6,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+33.ax',t65_setwiseo) ).
fof(f2507,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( ( m2_relset_1(X2,X0,k5_finsub_1(X1))
& v1_funct_2(X2,X0,k5_finsub_1(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X0))
=> ! [X4] :
( r2_hidden(X4,k10_setwiseo(X0,X1,X3,X2))
<=> ? [X5] :
( r2_hidden(X4,k8_funct_2(X0,k5_finsub_1(X1),X2,X5))
& r2_hidden(X5,X3)
& m1_subset_1(X5,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+33.ax',t70_setwiseo) ).
fof(f2509,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2,X3] :
( ( m2_relset_1(X3,X0,k5_finsub_1(X1))
& v1_funct_2(X3,X0,k5_finsub_1(X1))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
& v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
& v1_funct_1(X4) )
=> ( ( ! [X5] :
( m1_subset_1(X5,k5_finsub_1(X1))
=> ! [X6] :
( m1_subset_1(X6,k5_finsub_1(X1))
=> k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k5_setwiseo(X1,X5,X6)) = k5_setwiseo(X2,k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X5),k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X6)) ) )
& k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1)) = k1_setwiseo(X2) )
=> ! [X5] :
( m1_subset_1(X5,k5_finsub_1(X0))
=> k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X5,X3)) = k10_setwiseo(X0,X2,X5,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+33.ax',t72_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(f2532,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X3,X0,k5_finsub_1(X1))
& v1_funct_2(X3,X0,k5_finsub_1(X1))
& v1_funct_1(X3)
& m1_subset_1(X2,k5_finsub_1(X0))
& ~ v1_xboole_0(X0) )
=> m1_subset_1(k10_setwiseo(X0,X1,X2,X3),k5_finsub_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+33.ax',dt_k10_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(f2657,axiom,
r1_tarski(k5_numbers,k1_numbers),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t19_numbers) ).
fof(f2667,axiom,
k5_numbers != k1_numbers,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+35.ax',t29_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(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(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(f2995,axiom,
! [X0] :
( v2_membered(X0)
=> v1_membered(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+51.ax',cc4_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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(f3199,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( m2_subset_1(X1,k1_numbers,k5_numbers)
=> ( k1_card_1(X0) = k1_card_1(X1)
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+54.ax',t71_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(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(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(f3255,axiom,
( k2_finseq_1(np__2) = k2_tarski(np__1,np__2)
& k2_finseq_1(np__1) = k1_tarski(np__1)
& k2_finseq_1(np__0) = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+55.ax',t4_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(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(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(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(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(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(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(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(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(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(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(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(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(f4092,axiom,
! [X0] :
( v1_finset_1(X0)
=> ( v1_realset1(X0)
<=> ~ r1_xreal_0(np__2,k4_card_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+117.ax',t13_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(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(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(f4135,axiom,
! [X0] :
( v1_card_1(X0)
=> ( r2_hidden(np__1,X0)
<=> r1_tarski(np__2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+148.ax',t25_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(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(f4413,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,X1)
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> m2_cat_1(k7_funct_2(u2_cat_1(X0),u2_cat_1(X1),u2_cat_1(X2),X3,X4),X0,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+202.ax',t110_cat_1) ).
fof(f4444,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X2] :
( m2_cat_1(X2,X0,X1)
=> ( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
& v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+202.ax',dt_m2_cat_1) ).
fof(f4445,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ? [X2] : m2_cat_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+202.ax',existence_m2_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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(f4960,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))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( X3 = k1_funct_1(X1,np__2)
& X2 = k1_funct_1(X1,np__1)
& k3_finseq_1(X1) = np__2 )
=> k9_rlvect_1(X0,X1) = k2_rlvect_1(X0,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+210.ax',t96_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(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(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(f4988,axiom,
? [X0] :
( v1_group_1(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',rc1_group_1) ).
fof(f4989,axiom,
? [X0] :
( v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',rc2_group_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(f5017,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))
=> ( k3_group_1(X0,X1) = k3_group_1(X0,X2)
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t17_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(f5019,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,k3_group_1(X0,X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t19_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(f5021,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,X1,X2) = X3
<=> X2 = k1_group_1(X0,k3_group_1(X0,X1),X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t21_group_1) ).
fof(f5022,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,X1,X2) = X3
<=> X1 = k1_group_1(X0,X3,k3_group_1(X0,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t22_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(f5025,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))
=> k3_group_1(X0,k1_group_1(X0,X1,X2)) = k1_group_1(X0,k3_group_1(X0,X2),k3_group_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t25_group_1) ).
fof(f5026,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,X1,X2) = k1_group_1(X0,X2,X1)
<=> k3_group_1(X0,k1_group_1(X0,X1,X2)) = k1_group_1(X0,k3_group_1(X0,X1),k3_group_1(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t26_group_1) ).
fof(f5027,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,X1,X2) = k1_group_1(X0,X2,X1)
<=> k1_group_1(X0,k3_group_1(X0,X1),k3_group_1(X0,X2)) = k1_group_1(X0,k3_group_1(X0,X2),k3_group_1(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t27_group_1) ).
fof(f5028,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,X1,X2) = k1_group_1(X0,X2,X1)
<=> k1_group_1(X0,X1,k3_group_1(X0,X2)) = k1_group_1(X0,k3_group_1(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t28_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(f5049,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__2,X1) = k1_group_1(X0,X1,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t45_group_1) ).
fof(f5051,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__2,X1) = k2_group_1(X0)
<=> k3_group_1(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t47_group_1) ).
fof(f5055,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,X0,k3_group_1(X1,X2)) = k3_group_1(X1,k6_group_1(X1,X0,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t51_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(f5076,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,X0,k3_group_1(X1,X2)) = k3_group_1(X1,k6_group_1(X1,X0,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',t72_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(f5100,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v7_group_1(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) = k1_group_1(X0,X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',d16_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(f5113,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',dt_k3_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(f5142,axiom,
? [X0] :
( v7_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+213.ax',rc8_vectsp_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(f5240,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k2_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0)
<=> k5_rlvect_1(X0,X1) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+213.ax',t63_vectsp_1) ).
fof(f5269,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k2_rlvect_1(X0,X1,X2) = k5_rlvect_1(X0,k2_rlvect_1(X0,k5_rlvect_1(X0,X2),k5_rlvect_1(X0,X1))) ) ) ),
file('/export/starexec/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(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(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(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(f5505,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( v1_filter_0(X1,X0)
<=> ( ! [X2] :
( m1_filter_0(X2,X0)
=> ( r1_tarski(X1,X2)
=> ( X1 = X2
| X2 = u1_struct_0(X0) ) ) )
& X1 != u1_struct_0(X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',d4_filter_0) ).
fof(f5507,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v13_lattices(X0)
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ~ ( ! [X2] :
( m1_filter_0(X2,X0)
=> ~ ( v1_filter_0(X2,X0)
& r1_tarski(X1,X2) ) )
& X1 != u1_struct_0(X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',t22_filter_0) ).
fof(f5508,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ~ ( k2_filter_0(X0,X1) = u1_struct_0(X0)
& ~ ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k4_lattices(X0,X1,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',t23_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(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(f5545,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( v1_filter_0(X1,X0)
<=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) ) )
& X1 != u1_struct_0(X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',t57_filter_0) ).
fof(f5547,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( v1_filter_0(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',t59_filter_0) ).
fof(f5548,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ~ ( ! [X3] :
( m1_filter_0(X3,X0)
=> ~ ( ( ( r2_hidden(X2,X3)
& ~ r2_hidden(X1,X3) )
| ( ~ r2_hidden(X2,X3)
& r2_hidden(X1,X3) ) )
& v1_filter_0(X3,X0) ) )
& X1 != X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',t60_filter_0) ).
fof(f5549,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ! [X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ( X2 = k8_filter_0(X0,X1)
<=> ? [X3] :
( ? [X4] :
( X2 = g3_lattices(X1,X3,X4)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) ) ) ) ) ),
file('/export/starexec/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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(f6216,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] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X3,X0,X1)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X3) )
=> k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X3,k3_group_1(X0,X2)) = k3_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X3,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+312.ax',t41_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(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(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(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(f6387,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
<=> ? [X3] :
( r2_hidden(X2,X3)
& v1_filter_0(X3,X1)
& X0 = X3
& m1_filter_0(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_lopclset) ).
fof(f6400,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_lopclset) ).
fof(f6432,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(k7_lopclset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_lopclset) ).
fof(f6434,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( r2_hidden(X0,k7_lopclset(X1))
<=> ? [X2] :
( v1_filter_0(X2,X1)
& X2 = X0
& m1_filter_0(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_lopclset) ).
fof(f6435,conjecture,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_tarski(a_2_0_lopclset(X0,X1),k7_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_lopclset) ).
fof(f6436,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_tarski(a_2_0_lopclset(X0,X1),k7_lopclset(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f6435]) ).
fof(f6437,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f18]) ).
fof(f6438,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(f6439,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(f6440,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(f6441,plain,
! [X0] : k2_xboole_0(X0,X0) = X0,
inference(rectify,[],[f55]) ).
fof(f6442,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(f6443,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(f6444,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(f6445,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(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] :
( ~ 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(f6448,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(f6449,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(f6450,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(f6452,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(f6453,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(f6454,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(f6455,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(f6456,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(f6457,plain,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2,X3] :
( ( m2_relset_1(X3,X0,k5_finsub_1(X1))
& v1_funct_2(X3,X0,k5_finsub_1(X1))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
& v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
& v1_funct_1(X4) )
=> ( ( ! [X5] :
( m1_subset_1(X5,k5_finsub_1(X1))
=> ! [X6] :
( m1_subset_1(X6,k5_finsub_1(X1))
=> k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k5_setwiseo(X1,X5,X6)) = k5_setwiseo(X2,k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X5),k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X6)) ) )
& k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1)) = k1_setwiseo(X2) )
=> ! [X7] :
( m1_subset_1(X7,k5_finsub_1(X0))
=> k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X7,X3)) = k10_setwiseo(X0,X2,X7,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ) ) ) ) ),
inference(rectify,[],[f2509]) ).
fof(f6458,plain,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ( ( v1_setwiseo(X3,X1)
& v3_binop_1(X3,X1)
& v2_binop_1(X3,X1)
& v1_binop_1(X3,X1) )
=> ! [X4] :
( ( m2_relset_1(X4,X0,k5_finsub_1(X2))
& v1_funct_2(X4,X0,k5_finsub_1(X2))
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k5_finsub_1(X2),X1)
& v1_funct_2(X5,k5_finsub_1(X2),X1)
& v1_funct_1(X5) )
=> ( ( ! [X6] :
( m1_subset_1(X6,k5_finsub_1(X2))
=> ! [X7] :
( m1_subset_1(X7,k5_finsub_1(X2))
=> k8_funct_2(k5_finsub_1(X2),X1,X5,k5_setwiseo(X2,X6,X7)) = k2_binop_1(X1,X1,X1,X3,k8_funct_2(k5_finsub_1(X2),X1,X5,X6),k8_funct_2(k5_finsub_1(X2),X1,X5,X7)) ) )
& k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) = k3_binop_1(X1,X3) )
=> ! [X8] :
( m1_subset_1(X8,k5_finsub_1(X0))
=> k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X8,X4)) = k7_setwiseo(X0,X1,X3,X8,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ) ) ) ) ) ) ) ),
inference(rectify,[],[f2501]) ).
fof(f6459,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(f6460,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(f6461,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(f6462,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(f6463,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(f6485,plain,
? [X0] :
( v4_group_1(X0)
& v3_group_1(X0)
& v2_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
inference(pure_predicate_removal,[],[f4992]) ).
fof(f6486,plain,
? [X0] :
( ~ v3_struct_0(X0)
& l1_group_1(X0) ),
inference(pure_predicate_removal,[],[f4989]) ).
fof(f6487,plain,
? [X0] :
( v7_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v2_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
inference(pure_predicate_removal,[],[f4993]) ).
fof(f6488,plain,
? [X0] : l1_group_1(X0),
inference(pure_predicate_removal,[],[f4988]) ).
fof(f6491,plain,
! [X0,X1] :
( ( v4_ordinal2(X1)
& v4_ordinal2(X0) )
=> ( v5_membered(k2_tarski(X0,X1))
& v3_membered(k2_tarski(X0,X1))
& v2_membered(k2_tarski(X0,X1))
& v1_membered(k2_tarski(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f3023]) ).
fof(f6492,plain,
! [X0] :
( v4_ordinal2(X0)
=> ( v5_membered(k1_tarski(X0))
& v3_membered(k1_tarski(X0))
& v2_membered(k1_tarski(X0))
& v1_membered(k1_tarski(X0)) ) ),
inference(pure_predicate_removal,[],[f3018]) ).
fof(f6493,plain,
! [X0,X1,X2] :
( ( v4_ordinal2(X2)
& v4_ordinal2(X1)
& v4_ordinal2(X0) )
=> ( v5_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(pure_predicate_removal,[],[f3028]) ).
fof(f6494,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(f6495,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(f6496,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(f6497,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) ) ),
inference(pure_predicate_removal,[],[f6496]) ).
fof(f6498,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) ) ),
inference(pure_predicate_removal,[],[f6494]) ).
fof(f6499,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) ) ),
inference(pure_predicate_removal,[],[f6495]) ).
fof(f6500,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) ) ),
inference(pure_predicate_removal,[],[f6497]) ).
fof(f6501,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) ) ),
inference(pure_predicate_removal,[],[f6498]) ).
fof(f6502,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) ) ),
inference(pure_predicate_removal,[],[f6499]) ).
fof(f6503,plain,
? [X0] :
( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ~ r1_tarski(a_2_0_lopclset(X0,X1),k7_lopclset(X0)) ) ),
inference(ennf_transformation,[],[f6436]) ).
fof(f6504,plain,
? [X0] :
( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ~ r1_tarski(a_2_0_lopclset(X0,X1),k7_lopclset(X0)) ) ),
inference(flattening,[],[f6503]) ).
fof(f6505,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(f6506,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,[],[f6505]) ).
fof(f6507,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(f6508,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,[],[f6507]) ).
fof(f6509,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(f6510,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,[],[f6509]) ).
fof(f6513,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(f6514,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,[],[f6513]) ).
fof(f6515,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(f6516,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,[],[f6515]) ).
fof(f6517,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(f6518,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X2,X0)
| ~ r1_tarski(X0,X1)
| m2_relset_1(X3,X2,X1) ),
inference(flattening,[],[f6517]) ).
fof(f6519,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(f6520,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X2)
| ~ r1_tarski(X0,X1)
| m2_relset_1(X3,X1,X2) ),
inference(flattening,[],[f6519]) ).
fof(f6521,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(f6522,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r1_tarski(X0,X3)
| m2_relset_1(X0,X1,X2) ),
inference(flattening,[],[f6521]) ).
fof(f6523,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f1191]) ).
fof(f6524,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| v1_relat_1(X0) ),
inference(ennf_transformation,[],[f700]) ).
fof(f6525,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| v1_relat_1(X0) ),
inference(flattening,[],[f6524]) ).
fof(f6526,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(f6527,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,[],[f6526]) ).
fof(f6528,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(f6529,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,[],[f6528]) ).
fof(f6530,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(f6531,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(f6532,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,[],[f6531]) ).
fof(f6533,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(f6534,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(f6535,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,[],[f6534]) ).
fof(f6536,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(f6537,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(f6539,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1)) ),
inference(ennf_transformation,[],[f404]) ).
fof(f6540,plain,
! [X0] :
( ~ r1_tarski(X0,k1_xboole_0)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f72]) ).
fof(f6541,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f6542,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,X2) ),
inference(flattening,[],[f6541]) ).
fof(f6543,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f6544,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(f6545,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( v3_realset2(X0)
<=> ? [X1] : u1_struct_0(X0) = k1_tarski(X1) ) ),
inference(flattening,[],[f6544]) ).
fof(f6546,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(f6547,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( v3_realset2(X0)
<=> v1_realset1(u1_struct_0(X0)) ) ),
inference(ennf_transformation,[],[f5312]) ).
fof(f6548,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
<=> ? [X3] :
( r2_hidden(X2,X3)
& v1_filter_0(X3,X1)
& X0 = X3
& m1_filter_0(X3,X1) ) ) ),
inference(ennf_transformation,[],[f6387]) ).
fof(f6549,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( r2_hidden(X0,a_2_0_lopclset(X1,X2))
<=> ? [X3] :
( r2_hidden(X2,X3)
& v1_filter_0(X3,X1)
& X0 = X3
& m1_filter_0(X3,X1) ) ) ),
inference(flattening,[],[f6548]) ).
fof(f6550,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( r2_hidden(X0,k7_lopclset(X1))
<=> ? [X2] :
( v1_filter_0(X2,X1)
& X2 = X0
& m1_filter_0(X2,X1) ) ) ),
inference(ennf_transformation,[],[f6434]) ).
fof(f6551,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( r2_hidden(X0,k7_lopclset(X1))
<=> ? [X2] :
( v1_filter_0(X2,X1)
& X2 = X0
& m1_filter_0(X2,X1) ) ) ),
inference(flattening,[],[f6550]) ).
fof(f6552,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k7_lopclset(X0)) ),
inference(ennf_transformation,[],[f6432]) ).
fof(f6553,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k7_lopclset(X0)) ),
inference(flattening,[],[f6552]) ).
fof(f6554,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(ennf_transformation,[],[f6400]) ).
fof(f6555,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(flattening,[],[f6554]) ).
fof(f6556,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(f6557,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,[],[f6556]) ).
fof(f6558,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(f6559,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,[],[f6558]) ).
fof(f6560,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| X1 = k1_xboole_0 ),
inference(ennf_transformation,[],[f1415]) ).
fof(f6561,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| X1 = k1_xboole_0 ),
inference(flattening,[],[f6560]) ).
fof(f6562,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(f6563,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,[],[f6562]) ).
fof(f6564,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| X1 = k1_xboole_0 ),
inference(ennf_transformation,[],[f1408]) ).
fof(f6565,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| X1 = k1_xboole_0 ),
inference(flattening,[],[f6564]) ).
fof(f6566,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(f6567,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,[],[f6566]) ).
fof(f6568,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(f6569,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X1,X0)
| ~ m2_relset_1(X2,X1,k1_xboole_0)
| X2 = k1_xboole_0 ),
inference(flattening,[],[f6568]) ).
fof(f6570,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(f6571,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,k1_xboole_0,X1)
| X2 = k1_xboole_0 ),
inference(flattening,[],[f6570]) ).
fof(f6572,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(f6573,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,[],[f6572]) ).
fof(f6574,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(f6575,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,[],[f6574]) ).
fof(f6576,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(f6577,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,[],[f6576]) ).
fof(f6581,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(X0) ),
inference(ennf_transformation,[],[f684]) ).
fof(f6582,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(f6583,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(f6584,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(f6585,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f1187]) ).
fof(f6588,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f6589,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(f6590,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f6591,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(f6592,plain,
! [X0,X1] :
( ? [X2] :
( r2_hidden(X2,X0)
<~> r2_hidden(X2,X1) )
| X0 = X1 ),
inference(ennf_transformation,[],[f3]) ).
fof(f6593,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f6594,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(f6595,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(f6596,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(f6597,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(f6598,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(flattening,[],[f6597]) ).
fof(f6599,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(f6600,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,[],[f6599]) ).
fof(f6601,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(f6602,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,[],[f6601]) ).
fof(f6603,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(f6604,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,[],[f6603]) ).
fof(f6605,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
inference(ennf_transformation,[],[f474]) ).
fof(f6606,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) ),
inference(ennf_transformation,[],[f915]) ).
fof(f6607,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f6608,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(f6609,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(f6610,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,[],[f6609]) ).
fof(f6611,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(f6612,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,[],[f6611]) ).
fof(f6613,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(ennf_transformation,[],[f475]) ).
fof(f6614,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(flattening,[],[f6613]) ).
fof(f6615,plain,
! [X0,X1] :
( k2_zfmisc_1(X0,X0) != k2_zfmisc_1(X1,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f440]) ).
fof(f6616,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(f6617,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(f6618,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(f6619,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,[],[f6618]) ).
fof(f6620,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(f6621,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,[],[f6620]) ).
fof(f6622,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(f6623,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,[],[f6622]) ).
fof(f6624,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(f6625,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,[],[f6624]) ).
fof(f6626,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(f6627,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,[],[f6626]) ).
fof(f6628,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(f6629,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,[],[f6628]) ).
fof(f6630,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(f6631,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,[],[f6630]) ).
fof(f6632,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(f6633,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,[],[f6632]) ).
fof(f6634,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(f6635,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(f6636,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,[],[f6635]) ).
fof(f6639,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(k1_tarski(X0),k1_zfmisc_1(X1)) ),
inference(ennf_transformation,[],[f546]) ).
fof(f6640,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(f6641,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| k1_xboole_0 = X0
| m1_subset_1(k1_tarski(X1),k1_zfmisc_1(X0)) ),
inference(flattening,[],[f6640]) ).
fof(f6642,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(f6643,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k2_xboole_0(k1_tarski(X0),X1) = X1 ),
inference(ennf_transformation,[],[f371]) ).
fof(f6645,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(f6647,plain,
! [X0,X1] :
( ? [X2] :
( X2 != X1
& r2_hidden(X2,X0) )
| k1_xboole_0 = X0
| k1_tarski(X1) = X0 ),
inference(ennf_transformation,[],[f366]) ).
fof(f6651,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f5108]) ).
fof(f6652,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f4687]) ).
fof(f6653,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( v3_struct_0(X0)
<=> v1_xboole_0(u1_struct_0(X0)) ) ),
inference(ennf_transformation,[],[f4261]) ).
fof(f6654,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(f6655,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,[],[f6654]) ).
fof(f6656,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f4259]) ).
fof(f6657,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f6656]) ).
fof(f6658,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(f6659,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,[],[f6658]) ).
fof(f6660,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(f6661,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,[],[f6660]) ).
fof(f6662,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(f6663,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,[],[f6662]) ).
fof(f6664,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(f6665,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,[],[f6664]) ).
fof(f6666,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(f6667,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,[],[f6666]) ).
fof(f6668,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(f6669,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( v2_group_1(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f6668]) ).
fof(f6670,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_realset1(X0)
| k5_realset1(X0,X1) = k1_tarski(X1) ),
inference(ennf_transformation,[],[f4109]) ).
fof(f6671,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_realset1(X0)
| k5_realset1(X0,X1) = k1_tarski(X1) ),
inference(flattening,[],[f6670]) ).
fof(f6672,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,[],[f6438]) ).
fof(f6673,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,[],[f6672]) ).
fof(f6674,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,[],[f6439]) ).
fof(f6675,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(f6676,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,[],[f6675]) ).
fof(f6677,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(f6678,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,[],[f6677]) ).
fof(f6679,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(f6680,plain,
! [X0] :
( v1_realset1(X0)
<=> ( ? [X1] : k1_tarski(X1) = X0
| v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f4076]) ).
fof(f6681,plain,
! [X0] :
( v1_realset1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f4066]) ).
fof(f6682,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m1_filter_0(X1,X0) ),
inference(ennf_transformation,[],[f5584]) ).
fof(f6683,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m1_filter_0(X1,X0) ),
inference(flattening,[],[f6682]) ).
fof(f6684,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(f6685,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,[],[f6684]) ).
fof(f6686,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(f6687,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(u1_struct_0(X0),X0) ),
inference(flattening,[],[f6686]) ).
fof(f6688,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(f6689,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,[],[f6688]) ).
fof(f6690,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ? [X3] :
( m1_filter_0(X3,X0)
& ( ( r2_hidden(X2,X3)
& ~ r2_hidden(X1,X3) )
| ( ~ r2_hidden(X2,X3)
& r2_hidden(X1,X3) ) )
& v1_filter_0(X3,X0) )
| X1 = X2 ) ) ),
inference(ennf_transformation,[],[f5548]) ).
fof(f6691,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ? [X3] :
( m1_filter_0(X3,X0)
& ( ( r2_hidden(X2,X3)
& ~ r2_hidden(X1,X3) )
| ( ~ r2_hidden(X2,X3)
& r2_hidden(X1,X3) ) )
& v1_filter_0(X3,X0) )
| X1 = X2 ) ) ),
inference(flattening,[],[f6690]) ).
fof(f6692,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ),
inference(ennf_transformation,[],[f5547]) ).
fof(f6693,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ),
inference(flattening,[],[f6692]) ).
fof(f6694,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( v1_filter_0(X1,X0)
<=> ( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) )
& X1 != u1_struct_0(X0) ) ) ) ),
inference(ennf_transformation,[],[f5545]) ).
fof(f6695,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( v1_filter_0(X1,X0)
<=> ( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) )
& X1 != u1_struct_0(X0) ) ) ) ),
inference(flattening,[],[f6694]) ).
fof(f6698,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ? [X2] :
( m1_filter_0(X2,X0)
& v1_filter_0(X2,X0)
& r1_tarski(X1,X2) )
| u1_struct_0(X0) = X1 ) ),
inference(ennf_transformation,[],[f5507]) ).
fof(f6699,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ? [X2] :
( m1_filter_0(X2,X0)
& v1_filter_0(X2,X0)
& r1_tarski(X1,X2) )
| u1_struct_0(X0) = X1 ) ),
inference(flattening,[],[f6698]) ).
fof(f6700,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( v1_filter_0(X1,X0)
<=> ( ! [X2] :
( ~ m1_filter_0(X2,X0)
| ~ r1_tarski(X1,X2)
| X1 = X2
| X2 = u1_struct_0(X0) )
& X1 != u1_struct_0(X0) ) ) ) ),
inference(ennf_transformation,[],[f5505]) ).
fof(f6701,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( v1_filter_0(X1,X0)
<=> ( ! [X2] :
( ~ m1_filter_0(X2,X0)
| ~ r1_tarski(X1,X2)
| X1 = X2
| X2 = u1_struct_0(X0) )
& X1 != u1_struct_0(X0) ) ) ) ),
inference(flattening,[],[f6700]) ).
fof(f6702,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(f6703,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,[],[f6702]) ).
fof(f6704,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(f6705,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,[],[f6704]) ).
fof(f6706,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(f6707,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,[],[f6706]) ).
fof(f6710,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(f6711,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,[],[f6710]) ).
fof(f6712,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(f6713,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,[],[f6712]) ).
fof(f6714,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(f6715,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(f6716,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,[],[f6715]) ).
fof(f6717,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(f6718,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,[],[f6717]) ).
fof(f6719,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(f6720,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,[],[f6719]) ).
fof(f6721,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(f6722,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,[],[f6721]) ).
fof(f6723,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(f6724,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,[],[f6723]) ).
fof(f6727,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(f6728,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,[],[f6727]) ).
fof(f6729,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(f6730,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,[],[f6729]) ).
fof(f6731,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(f6732,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(f6733,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,[],[f6732]) ).
fof(f6734,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(f6735,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,[],[f6734]) ).
fof(f6736,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(f6737,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(f6738,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ? [X2] : r2_hidden(X2,k1_relat_1(X1))
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(flattening,[],[f6737]) ).
fof(f6739,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(f6740,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ? [X2] : r2_hidden(X2,k2_relat_1(X1))
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(flattening,[],[f6739]) ).
fof(f6741,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(f6742,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k1_relat_1(X0)) ),
inference(ennf_transformation,[],[f687]) ).
fof(f6743,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k1_relat_1(X0)) ),
inference(flattening,[],[f6742]) ).
fof(f6744,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(f6745,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,[],[f6744]) ).
fof(f6746,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(f6747,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,[],[f6746]) ).
fof(f6748,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(f6749,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,[],[f6748]) ).
fof(f6750,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(f6751,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,[],[f6750]) ).
fof(f6752,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(f6753,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,[],[f6752]) ).
fof(f6754,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(f6755,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,[],[f6754]) ).
fof(f6756,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(f6757,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,[],[f6756]) ).
fof(f6758,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(f6759,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,[],[f6758]) ).
fof(f6760,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(f6761,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,[],[f6760]) ).
fof(f6762,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(f6763,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,[],[f6762]) ).
fof(f6764,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(f6765,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,[],[f6764]) ).
fof(f6766,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(f6767,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,[],[f6766]) ).
fof(f6770,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f2327]) ).
fof(f6771,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(flattening,[],[f6770]) ).
fof(f6772,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(f6773,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,[],[f6772]) ).
fof(f6774,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,[],[f6440]) ).
fof(f6775,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,[],[f6774]) ).
fof(f6776,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(f6777,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,[],[f6776]) ).
fof(f6778,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(f6779,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(f6780,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f682]) ).
fof(f6781,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(flattening,[],[f6780]) ).
fof(f6785,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(f6786,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(f6787,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(f6788,plain,
! [X0,X1] :
( k1_xboole_0 != k2_xboole_0(X0,X1)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f6789,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(f6790,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,[],[f6789]) ).
fof(f6791,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(f6792,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,[],[f6791]) ).
fof(f6793,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X1) = X1 ),
inference(ennf_transformation,[],[f81]) ).
fof(f6794,plain,
! [X0,X1,X2] :
( ~ r1_tarski(k2_xboole_0(X0,X1),X2)
| r1_tarski(X0,X2) ),
inference(ennf_transformation,[],[f80]) ).
fof(f6795,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_tarski(X0,k2_xboole_0(X2,X1)) ),
inference(ennf_transformation,[],[f79]) ).
fof(f6796,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(f6797,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(f6798,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k2_xboole_0(X0,X2),X1) ),
inference(flattening,[],[f6797]) ).
fof(f6799,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_xboole_0(X1,X0)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f6800,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f6801,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(f6802,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,[],[f6801]) ).
fof(f6803,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(f6804,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,[],[f6803]) ).
fof(f6807,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(f6808,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,[],[f6807]) ).
fof(f6809,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(f6810,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(f6811,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(f6814,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(f6815,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(f6816,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_relat_1(X0)) ),
inference(ennf_transformation,[],[f688]) ).
fof(f6817,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_relat_1(X0)) ),
inference(flattening,[],[f6816]) ).
fof(f6818,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(f6819,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,[],[f6442]) ).
fof(f6820,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(f6821,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(f6822,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,[],[f6821]) ).
fof(f6823,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,[],[f6443]) ).
fof(f6824,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,[],[f6823]) ).
fof(f6825,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(f6826,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,[],[f6825]) ).
fof(f6827,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ? [X1,X2] : r2_hidden(k4_tarski(X1,X2),X0)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f760]) ).
fof(f6828,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ? [X1,X2] : r2_hidden(k4_tarski(X1,X2),X0)
| X0 = k1_xboole_0 ),
inference(flattening,[],[f6827]) ).
fof(f6829,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(f6830,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(f6831,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(f6832,plain,
! [X0] :
( v1_relat_1(X0)
<=> ! [X1] :
( ? [X2,X3] : k4_tarski(X2,X3) = X1
| ~ r2_hidden(X1,X0) ) ),
inference(ennf_transformation,[],[f697]) ).
fof(f6833,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,[],[f6444]) ).
fof(f6834,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,[],[f6833]) ).
fof(f6835,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,[],[f6445]) ).
fof(f6836,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,[],[f6835]) ).
fof(f6837,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(f6838,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,[],[f6837]) ).
fof(f6839,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(f6840,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,[],[f6839]) ).
fof(f6841,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(f6842,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(f6843,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(f6844,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(f6845,plain,
! [X0,X1,X2] :
( ? [X3,X4] : k4_tarski(X3,X4) = X0
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(ennf_transformation,[],[f427]) ).
fof(f6846,plain,
! [X0,X1,X2,X3] :
( k4_tarski(X0,X1) != k4_tarski(X2,X3)
| ( X1 = X3
& X0 = X2 ) ),
inference(ennf_transformation,[],[f358]) ).
fof(f6847,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(f6848,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,[],[f6847]) ).
fof(f6849,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(f6850,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,[],[f6849]) ).
fof(f6851,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(f6852,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,[],[f6851]) ).
fof(f6853,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(f6854,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,[],[f6853]) ).
fof(f6855,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(f6856,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,[],[f6855]) ).
fof(f6857,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(f6858,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,[],[f6857]) ).
fof(f6859,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(f6860,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,[],[f6859]) ).
fof(f6861,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,[],[f6447]) ).
fof(f6862,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,[],[f6861]) ).
fof(f6863,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(f6864,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,[],[f6863]) ).
fof(f6865,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(f6866,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,[],[f6865]) ).
fof(f6867,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(f6868,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,[],[f6867]) ).
fof(f6869,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(f6870,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(f6871,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,[],[f6870]) ).
fof(f6872,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(f6873,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,[],[f6872]) ).
fof(f6874,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(f6875,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,[],[f6874]) ).
fof(f6876,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(f6877,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,[],[f6876]) ).
fof(f6878,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(f6879,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,[],[f6878]) ).
fof(f6880,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,[],[f6448]) ).
fof(f6881,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,[],[f6880]) ).
fof(f6882,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(f6883,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,[],[f6882]) ).
fof(f6884,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(f6885,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f6884]) ).
fof(f6886,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(f6887,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,[],[f6886]) ).
fof(f6890,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(f6891,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,[],[f6890]) ).
fof(f6892,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(f6893,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,[],[f6892]) ).
fof(f6894,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(f6895,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,[],[f6894]) ).
fof(f6896,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(f6897,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,[],[f6896]) ).
fof(f6898,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(f6899,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,[],[f6898]) ).
fof(f6900,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(f6901,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,[],[f6900]) ).
fof(f6904,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(f6905,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,[],[f6904]) ).
fof(f6906,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(f6907,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,[],[f6906]) ).
fof(f6908,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(f6909,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,[],[f6908]) ).
fof(f6910,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(f6911,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,[],[f6910]) ).
fof(f6912,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(f6913,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,[],[f6912]) ).
fof(f6914,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(f6915,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,[],[f6914]) ).
fof(f6916,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(f6917,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,[],[f6916]) ).
fof(f6918,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(f6919,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,[],[f6918]) ).
fof(f6920,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(f6921,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,[],[f6920]) ).
fof(f6922,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(f6923,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,[],[f6922]) ).
fof(f6924,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(f6925,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,[],[f6924]) ).
fof(f6926,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(f6927,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,[],[f6926]) ).
fof(f6928,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(f6929,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,[],[f6928]) ).
fof(f6930,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(f6931,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,[],[f6930]) ).
fof(f6932,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(f6933,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,[],[f6932]) ).
fof(f6934,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(f6935,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,[],[f6934]) ).
fof(f6936,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(f6937,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,[],[f6936]) ).
fof(f6938,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(f6939,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,[],[f6938]) ).
fof(f6940,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(f6941,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,[],[f6940]) ).
fof(f6942,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(f6943,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,[],[f6942]) ).
fof(f6944,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(f6945,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,[],[f6944]) ).
fof(f6946,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(f6947,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,[],[f6946]) ).
fof(f6948,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(f6949,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,[],[f6948]) ).
fof(f6950,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(f6951,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,[],[f6950]) ).
fof(f6952,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(f6953,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,[],[f6952]) ).
fof(f6954,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,[],[f6449]) ).
fof(f6955,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,[],[f6954]) ).
fof(f6956,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,[],[f6450]) ).
fof(f6957,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,[],[f6956]) ).
fof(f6958,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(f6959,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,[],[f6958]) ).
fof(f6960,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(f6961,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,[],[f6960]) ).
fof(f6962,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( v7_group_1(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) = k1_group_1(X0,X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f5100]) ).
fof(f6963,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( v7_group_1(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) = k1_group_1(X0,X2,X1) ) ) ) ),
inference(flattening,[],[f6962]) ).
fof(f6964,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(f6965,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(f6967,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| v1_finset_1(k4_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f2330]) ).
fof(f6968,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(f6969,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(f6970,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k4_xboole_0(X1,X0)) ),
inference(ennf_transformation,[],[f709]) ).
fof(f6973,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(f6974,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(f6975,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_tarski(X0,k4_xboole_0(X1,k1_tarski(X2)))
| r2_hidden(X2,X0) ),
inference(flattening,[],[f6974]) ).
fof(f6976,plain,
! [X0,X1] :
( k1_xboole_0 != k4_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 = X1 ),
inference(ennf_transformation,[],[f346]) ).
fof(f6977,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X0,X2),X1) ),
inference(ennf_transformation,[],[f178]) ).
fof(f6978,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k4_xboole_0(X1,X0))
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f107]) ).
fof(f6979,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(f6980,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,[],[f6979]) ).
fof(f6981,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(f6982,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(f6983,plain,
! [X0,X1] :
( k4_xboole_0(X0,X1) != k4_xboole_0(X1,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f101]) ).
fof(f6986,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k2_relat_1(X0)) ),
inference(ennf_transformation,[],[f3243]) ).
fof(f6987,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k2_relat_1(X0)) ),
inference(flattening,[],[f6986]) ).
fof(f6988,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(f6989,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(f6990,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(f6991,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,[],[f6990]) ).
fof(f6993,plain,
! [X0] :
( ~ v1_finset_1(X0)
| k5_finsub_1(X0) = k1_zfmisc_1(X0) ),
inference(ennf_transformation,[],[f2408]) ).
fof(f6994,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| v1_finset_1(X1) ),
inference(ennf_transformation,[],[f2376]) ).
fof(f6995,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(f6996,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finset_1(k1_relat_1(X0))
<=> v1_finset_1(X0) ) ),
inference(flattening,[],[f6995]) ).
fof(f6997,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(f6998,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,[],[f6997]) ).
fof(f6999,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X0,X1))
| v1_finset_1(X1)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f2360]) ).
fof(f7000,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X0,X1))
| v1_finset_1(X1)
| X0 = k1_xboole_0 ),
inference(flattening,[],[f6999]) ).
fof(f7001,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X1,X0))
| v1_finset_1(X1)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f2359]) ).
fof(f7002,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X1,X0))
| v1_finset_1(X1)
| X0 = k1_xboole_0 ),
inference(flattening,[],[f7001]) ).
fof(f7005,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(f7006,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,[],[f7005]) ).
fof(f7008,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ r1_tarski(X0,X1)
| v1_finset_1(X0) ),
inference(ennf_transformation,[],[f2350]) ).
fof(f7009,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ r1_tarski(X0,X1)
| v1_finset_1(X0) ),
inference(flattening,[],[f7008]) ).
fof(f7010,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(f7011,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(ennf_transformation,[],[f2332]) ).
fof(f7012,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(flattening,[],[f7011]) ).
fof(f7014,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| v1_finset_1(k3_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f2328]) ).
fof(f7016,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(f7017,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_finset_1(X0) ),
inference(ennf_transformation,[],[f2315]) ).
fof(f7018,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(f7019,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,[],[f7018]) ).
fof(f7020,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(f7021,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,[],[f7020]) ).
fof(f7022,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(f7023,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,[],[f7022]) ).
fof(f7024,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(f7025,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,[],[f7024]) ).
fof(f7028,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(f7029,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,[],[f7028]) ).
fof(f7030,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(f7031,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,[],[f7030]) ).
fof(f7032,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(f7033,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,[],[f7032]) ).
fof(f7034,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(f7035,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,[],[f7034]) ).
fof(f7036,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(f7037,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,[],[f7036]) ).
fof(f7038,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(f7039,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,[],[f7038]) ).
fof(f7040,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(f7041,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,[],[f7040]) ).
fof(f7042,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(f7043,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,[],[f7042]) ).
fof(f7044,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(f7045,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,[],[f7044]) ).
fof(f7046,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(f7047,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,[],[f7046]) ).
fof(f7048,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f4594]) ).
fof(f7049,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f7048]) ).
fof(f7050,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(f7051,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,[],[f7050]) ).
fof(f7052,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(f7053,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,[],[f7052]) ).
fof(f7054,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(f7055,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,[],[f7054]) ).
fof(f7056,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(f7057,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,[],[f7056]) ).
fof(f7058,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(f7059,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(f7060,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2413]) ).
fof(f7061,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k5_finsub_1(X0),k5_finsub_1(X1)) ),
inference(ennf_transformation,[],[f2404]) ).
fof(f7062,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(f7063,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(f7064,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k3_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f708]) ).
fof(f7067,plain,
! [X0,X1,X2,X3,X4] :
( ~ r2_hidden(X0,k2_zfmisc_1(X3,X4))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2))
| r2_hidden(X0,k2_zfmisc_1(k3_xboole_0(X1,X3),k3_xboole_0(X2,X4))) ),
inference(ennf_transformation,[],[f462]) ).
fof(f7068,plain,
! [X0,X1,X2,X3,X4] :
( ~ r2_hidden(X0,k2_zfmisc_1(X3,X4))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2))
| r2_hidden(X0,k2_zfmisc_1(k3_xboole_0(X1,X3),k3_xboole_0(X2,X4))) ),
inference(flattening,[],[f7067]) ).
fof(f7069,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(f7070,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,[],[f7069]) ).
fof(f7071,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k3_xboole_0(X1,k1_tarski(X0)) = k1_tarski(X0) ),
inference(ennf_transformation,[],[f377]) ).
fof(f7072,plain,
! [X0,X1] :
( k1_tarski(X1) != k3_xboole_0(X0,k1_tarski(X1))
| r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f376]) ).
fof(f7073,plain,
! [X0,X1] :
( k1_tarski(X0) != k3_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 = X1 ),
inference(ennf_transformation,[],[f343]) ).
fof(f7075,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k3_xboole_0(X0,X1) = X0 ),
inference(ennf_transformation,[],[f97]) ).
fof(f7076,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(f7077,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,[],[f7076]) ).
fof(f7078,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(f7079,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(f7080,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,[],[f7079]) ).
fof(f7081,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(f7082,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,k3_xboole_0(X1,X2)) ),
inference(flattening,[],[f7081]) ).
fof(f7084,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v14_lattices(X0) ),
inference(ennf_transformation,[],[f5526]) ).
fof(f7085,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v14_lattices(X0) ),
inference(flattening,[],[f7084]) ).
fof(f7086,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(f7087,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_binop_1(u1_lattices(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f7086]) ).
fof(f7088,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(f7089,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,[],[f7088]) ).
fof(f7094,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(f7095,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_binop_1(u2_lattices(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f7094]) ).
fof(f7096,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(f7097,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,[],[f7096]) ).
fof(f7098,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(f7099,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,[],[f7098]) ).
fof(f7100,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(f7101,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(f7102,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,[],[f7101]) ).
fof(f7103,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(f7104,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,[],[f7103]) ).
fof(f7105,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(f7106,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,[],[f7105]) ).
fof(f7109,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f4595]) ).
fof(f7110,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f7109]) ).
fof(f7111,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(f7112,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,[],[f7111]) ).
fof(f7113,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(f7114,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,[],[f7113]) ).
fof(f7115,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(f7116,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,[],[f7115]) ).
fof(f7117,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(f7118,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,[],[f7117]) ).
fof(f7119,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(f7120,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,[],[f7119]) ).
fof(f7121,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(f7122,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,[],[f7121]) ).
fof(f7123,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,[],[f6452]) ).
fof(f7124,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,[],[f7123]) ).
fof(f7125,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(f7126,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,[],[f7125]) ).
fof(f7127,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(f7128,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,[],[f7127]) ).
fof(f7129,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(f7130,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,[],[f7129]) ).
fof(f7131,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(f7132,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,[],[f7131]) ).
fof(f7133,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(f7134,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,[],[f7133]) ).
fof(f7135,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(f7136,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,[],[f7135]) ).
fof(f7137,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(f7138,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,[],[f7137]) ).
fof(f7139,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(f7140,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,[],[f7139]) ).
fof(f7141,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(f7142,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,[],[f7141]) ).
fof(f7143,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(f7144,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,[],[f7143]) ).
fof(f7145,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(f7146,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,[],[f7145]) ).
fof(f7147,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(f7148,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,[],[f7147]) ).
fof(f7149,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,[],[f6453]) ).
fof(f7150,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,[],[f7149]) ).
fof(f7151,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ! [X2] :
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ! [X3] :
( ~ m2_cat_1(X3,X0,X1)
| ! [X4] :
( ~ m2_cat_1(X4,X1,X2)
| m2_cat_1(k7_funct_2(u2_cat_1(X0),u2_cat_1(X1),u2_cat_1(X2),X3,X4),X0,X2) ) ) ) ) ),
inference(ennf_transformation,[],[f4413]) ).
fof(f7152,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ! [X2] :
( ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ! [X3] :
( ~ m2_cat_1(X3,X0,X1)
| ! [X4] :
( ~ m2_cat_1(X4,X1,X2)
| m2_cat_1(k7_funct_2(u2_cat_1(X0),u2_cat_1(X1),u2_cat_1(X2),X3,X4),X0,X2) ) ) ) ) ),
inference(flattening,[],[f7151]) ).
fof(f7153,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(f7154,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,[],[f7153]) ).
fof(f7155,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(f7156,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,[],[f7155]) ).
fof(f7157,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(f7158,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,[],[f7157]) ).
fof(f7159,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(f7160,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,[],[f7159]) ).
fof(f7161,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(f7162,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,[],[f7161]) ).
fof(f7163,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(f7164,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,[],[f7163]) ).
fof(f7165,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(f7166,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,[],[f7165]) ).
fof(f7167,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(f7168,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,[],[f7167]) ).
fof(f7169,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(f7170,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,[],[f7169]) ).
fof(f7171,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(f7172,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,[],[f7171]) ).
fof(f7173,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(f7174,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,[],[f7173]) ).
fof(f7175,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(f7176,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,[],[f7175]) ).
fof(f7177,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(f7178,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,[],[f7177]) ).
fof(f7179,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(f7180,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,[],[f7179]) ).
fof(f7181,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k2_setwiseo(X0,X1) = k1_tarski(X1) ),
inference(ennf_transformation,[],[f2516]) ).
fof(f7182,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k2_setwiseo(X0,X1) = k1_tarski(X1) ),
inference(flattening,[],[f7181]) ).
fof(f7183,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(f7184,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,[],[f7183]) ).
fof(f7185,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(f7186,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,[],[f7185]) ).
fof(f7187,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(f7188,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,[],[f7187]) ).
fof(f7189,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(f7190,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,[],[f7189]) ).
fof(f7191,plain,
! [X0] :
( ~ v1_int_1(X0)
| ~ r1_xreal_0(np__0,X0)
| r2_hidden(X0,k5_numbers) ),
inference(ennf_transformation,[],[f2758]) ).
fof(f7192,plain,
! [X0] :
( ~ v1_int_1(X0)
| ~ r1_xreal_0(np__0,X0)
| r2_hidden(X0,k5_numbers) ),
inference(flattening,[],[f7191]) ).
fof(f7193,plain,
! [X0] :
( ~ v1_int_1(X0)
| ( v1_xreal_0(X0)
& v1_xcmplx_0(X0) ) ),
inference(ennf_transformation,[],[f2730]) ).
fof(f7194,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(f7195,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,[],[f7194]) ).
fof(f7196,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(f7197,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,[],[f7196]) ).
fof(f7198,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(f7199,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,[],[f7198]) ).
fof(f7200,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(f7201,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,[],[f7200]) ).
fof(f7202,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(f7203,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,[],[f7202]) ).
fof(f7204,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] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X3,k3_group_1(X0,X2)) = k3_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X3,X2)) ) ) ) ),
inference(ennf_transformation,[],[f6216]) ).
fof(f7205,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] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X3,k3_group_1(X0,X2)) = k3_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X3,X2)) ) ) ) ),
inference(flattening,[],[f7204]) ).
fof(f7206,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f5113]) ).
fof(f7207,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
inference(flattening,[],[f7206]) ).
fof(f7208,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,X0,k3_group_1(X1,X2)) = k3_group_1(X1,k6_group_1(X1,X0,X2)) ) ) ),
inference(ennf_transformation,[],[f5076]) ).
fof(f7209,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,X0,k3_group_1(X1,X2)) = k3_group_1(X1,k6_group_1(X1,X0,X2)) ) ) ),
inference(flattening,[],[f7208]) ).
fof(f7210,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,X0,k3_group_1(X1,X2)) = k3_group_1(X1,k6_group_1(X1,X0,X2)) ) ) ),
inference(ennf_transformation,[],[f5055]) ).
fof(f7211,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,X0,k3_group_1(X1,X2)) = k3_group_1(X1,k6_group_1(X1,X0,X2)) ) ) ),
inference(flattening,[],[f7210]) ).
fof(f7212,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__2,X1) = k2_group_1(X0)
<=> k3_group_1(X0,X1) = X1 ) ) ),
inference(ennf_transformation,[],[f5051]) ).
fof(f7213,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__2,X1) = k2_group_1(X0)
<=> k3_group_1(X0,X1) = X1 ) ) ),
inference(flattening,[],[f7212]) ).
fof(f7214,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,X2) = k1_group_1(X0,X2,X1)
<=> k1_group_1(X0,X1,k3_group_1(X0,X2)) = k1_group_1(X0,k3_group_1(X0,X2),X1) ) ) ) ),
inference(ennf_transformation,[],[f5028]) ).
fof(f7215,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,X2) = k1_group_1(X0,X2,X1)
<=> k1_group_1(X0,X1,k3_group_1(X0,X2)) = k1_group_1(X0,k3_group_1(X0,X2),X1) ) ) ) ),
inference(flattening,[],[f7214]) ).
fof(f7216,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,X2) = k1_group_1(X0,X2,X1)
<=> k1_group_1(X0,k3_group_1(X0,X1),k3_group_1(X0,X2)) = k1_group_1(X0,k3_group_1(X0,X2),k3_group_1(X0,X1)) ) ) ) ),
inference(ennf_transformation,[],[f5027]) ).
fof(f7217,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,X2) = k1_group_1(X0,X2,X1)
<=> k1_group_1(X0,k3_group_1(X0,X1),k3_group_1(X0,X2)) = k1_group_1(X0,k3_group_1(X0,X2),k3_group_1(X0,X1)) ) ) ) ),
inference(flattening,[],[f7216]) ).
fof(f7218,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,X2) = k1_group_1(X0,X2,X1)
<=> k3_group_1(X0,k1_group_1(X0,X1,X2)) = k1_group_1(X0,k3_group_1(X0,X1),k3_group_1(X0,X2)) ) ) ) ),
inference(ennf_transformation,[],[f5026]) ).
fof(f7219,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,X2) = k1_group_1(X0,X2,X1)
<=> k3_group_1(X0,k1_group_1(X0,X1,X2)) = k1_group_1(X0,k3_group_1(X0,X1),k3_group_1(X0,X2)) ) ) ) ),
inference(flattening,[],[f7218]) ).
fof(f7220,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,k1_group_1(X0,X1,X2)) = k1_group_1(X0,k3_group_1(X0,X2),k3_group_1(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f5025]) ).
fof(f7221,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,k1_group_1(X0,X1,X2)) = k1_group_1(X0,k3_group_1(X0,X2),k3_group_1(X0,X1)) ) ) ),
inference(flattening,[],[f7220]) ).
fof(f7222,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,X1,X2) = X3
<=> X1 = k1_group_1(X0,X3,k3_group_1(X0,X2)) ) ) ) ) ),
inference(ennf_transformation,[],[f5022]) ).
fof(f7223,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,X1,X2) = X3
<=> X1 = k1_group_1(X0,X3,k3_group_1(X0,X2)) ) ) ) ) ),
inference(flattening,[],[f7222]) ).
fof(f7224,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,X1,X2) = X3
<=> X2 = k1_group_1(X0,k3_group_1(X0,X1),X3) ) ) ) ) ),
inference(ennf_transformation,[],[f5021]) ).
fof(f7225,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,X1,X2) = X3
<=> X2 = k1_group_1(X0,k3_group_1(X0,X1),X3) ) ) ) ) ),
inference(flattening,[],[f7224]) ).
fof(f7226,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))
| k3_group_1(X0,k3_group_1(X0,X1)) = X1 ) ),
inference(ennf_transformation,[],[f5019]) ).
fof(f7227,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))
| k3_group_1(X0,k3_group_1(X0,X1)) = X1 ) ),
inference(flattening,[],[f7226]) ).
fof(f7228,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) != k3_group_1(X0,X2)
| X1 = X2 ) ) ),
inference(ennf_transformation,[],[f5017]) ).
fof(f7229,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) != k3_group_1(X0,X2)
| X1 = X2 ) ) ),
inference(flattening,[],[f7228]) ).
fof(f7230,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(f7231,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,[],[f7230]) ).
fof(f7232,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(f7233,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,[],[f7232]) ).
fof(f7234,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(f7235,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,[],[f7234]) ).
fof(f7236,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(f7237,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,[],[f7236]) ).
fof(f7238,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(f7239,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,[],[f7238]) ).
fof(f7240,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(f7241,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,[],[f7240]) ).
fof(f7242,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(f7243,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,[],[f7242]) ).
fof(f7244,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(f7245,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,[],[f7244]) ).
fof(f7246,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(f7247,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,[],[f7246]) ).
fof(f7248,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(f7249,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,[],[f7248]) ).
fof(f7250,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(f7251,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,[],[f7250]) ).
fof(f7252,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(f7253,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,[],[f7252]) ).
fof(f7254,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(f7255,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,[],[f7254]) ).
fof(f7256,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(f7257,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,[],[f7256]) ).
fof(f7258,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(f7259,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,[],[f7258]) ).
fof(f7260,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(f7261,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,[],[f7260]) ).
fof(f7262,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(f7263,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,[],[f7262]) ).
fof(f7264,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(f7265,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,[],[f7264]) ).
fof(f7266,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(f7267,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,[],[f7266]) ).
fof(f7268,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(f7269,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,[],[f7268]) ).
fof(f7270,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(f7271,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(f7272,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(f7273,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(f7274,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,[],[f7273]) ).
fof(f7275,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(f7276,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,[],[f7275]) ).
fof(f7277,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(f7278,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,[],[f7277]) ).
fof(f7279,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(f7280,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,[],[f7279]) ).
fof(f7281,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(f7282,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,[],[f7281]) ).
fof(f7283,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(f7284,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,[],[f7283]) ).
fof(f7285,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(f7286,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,[],[f7285]) ).
fof(f7287,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(f7288,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,[],[f7287]) ).
fof(f7289,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(f7290,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,[],[f7289]) ).
fof(f7291,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(f7292,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,[],[f7291]) ).
fof(f7293,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(f7294,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,[],[f7293]) ).
fof(f7295,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(f7296,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,[],[f7295]) ).
fof(f7297,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(f7298,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,[],[f7297]) ).
fof(f7299,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(f7300,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,[],[f7299]) ).
fof(f7301,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(f7302,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,[],[f7301]) ).
fof(f7303,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(f7304,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,[],[f7303]) ).
fof(f7305,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(f7306,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,[],[f7305]) ).
fof(f7307,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(f7308,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,[],[f7307]) ).
fof(f7309,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(f7310,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,[],[f7309]) ).
fof(f7311,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(f7312,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,[],[f7311]) ).
fof(f7313,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(f7314,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,[],[f7313]) ).
fof(f7315,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(f7316,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,[],[f7315]) ).
fof(f7317,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(f7318,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,[],[f7317]) ).
fof(f7319,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(f7320,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,[],[f7319]) ).
fof(f7321,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(f7322,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,[],[f7321]) ).
fof(f7323,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(f7324,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,[],[f7323]) ).
fof(f7325,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(f7326,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,[],[f7325]) ).
fof(f7327,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(f7328,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,[],[f7327]) ).
fof(f7329,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(f7330,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,[],[f7329]) ).
fof(f7331,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(f7332,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,[],[f7331]) ).
fof(f7333,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(f7334,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,[],[f7333]) ).
fof(f7335,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(f7336,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,[],[f7335]) ).
fof(f7337,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(f7338,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,[],[f7337]) ).
fof(f7339,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(f7340,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,[],[f7339]) ).
fof(f7341,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,[],[f6454]) ).
fof(f7342,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,[],[f7341]) ).
fof(f7343,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(f7344,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,[],[f7343]) ).
fof(f7345,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k5_relat_1(X0,X1)) ),
inference(ennf_transformation,[],[f908]) ).
fof(f7346,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k5_relat_1(X0,X1)) ),
inference(flattening,[],[f7345]) ).
fof(f7347,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(f7348,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(f7349,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(f7350,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(f7351,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(f7352,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(f7353,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(f7354,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(f7355,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,[],[f7354]) ).
fof(f7356,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(f7357,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(f7358,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(f7359,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(f7360,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,[],[f7359]) ).
fof(f7361,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(f7362,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,[],[f7361]) ).
fof(f7363,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(f7364,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,[],[f7363]) ).
fof(f7365,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(f7366,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,[],[f7365]) ).
fof(f7367,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(f7368,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,[],[f7367]) ).
fof(f7369,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(f7370,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(f7371,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(f7372,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(f7373,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,[],[f7372]) ).
fof(f7374,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(f7375,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,[],[f7374]) ).
fof(f7376,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(f7377,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(f7378,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| k1_card_1(X0) != k1_card_1(X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f3199]) ).
fof(f7379,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| k1_card_1(X0) != k1_card_1(X1)
| X0 = X1 ) ),
inference(flattening,[],[f7378]) ).
fof(f7380,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| X0 = k1_card_1(X0) ),
inference(ennf_transformation,[],[f3194]) ).
fof(f7381,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(ennf_transformation,[],[f3152]) ).
fof(f7382,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(f7383,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,[],[f7382]) ).
fof(f7384,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(f7385,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,[],[f7384]) ).
fof(f7388,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(f7389,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,[],[f7388]) ).
fof(f7390,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(f7391,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,[],[f7390]) ).
fof(f7392,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(f7393,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_tarski(X0),X1)
| ~ v1_funct_1(X2)
| v2_funct_1(X2) ),
inference(flattening,[],[f7392]) ).
fof(f7394,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(ennf_transformation,[],[f1417]) ).
fof(f7395,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(flattening,[],[f7394]) ).
fof(f7396,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(ennf_transformation,[],[f1410]) ).
fof(f7397,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(flattening,[],[f7396]) ).
fof(f7398,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(f7399,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,[],[f7398]) ).
fof(f7400,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(f7401,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,[],[f7400]) ).
fof(f7402,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(f7403,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,[],[f7402]) ).
fof(f7404,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(f7405,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,[],[f7404]) ).
fof(f7406,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(f7407,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,[],[f7406]) ).
fof(f7408,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(f7409,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,[],[f7408]) ).
fof(f7410,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(f7411,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,[],[f7410]) ).
fof(f7412,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(f7413,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,[],[f7412]) ).
fof(f7414,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(f7415,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,[],[f7414]) ).
fof(f7416,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(f7417,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,[],[f7416]) ).
fof(f7418,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(f7419,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,[],[f7418]) ).
fof(f7420,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(f7421,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,[],[f7420]) ).
fof(f7422,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(f7423,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,[],[f7422]) ).
fof(f7426,plain,
! [X0,X1] :
( ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0)
| v1_membered(k2_tarski(X0,X1)) ),
inference(ennf_transformation,[],[f3019]) ).
fof(f7427,plain,
! [X0,X1] :
( ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0)
| v1_membered(k2_tarski(X0,X1)) ),
inference(flattening,[],[f7426]) ).
fof(f7428,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(f7429,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,[],[f7428]) ).
fof(f7430,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(f7431,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,[],[f7430]) ).
fof(f7432,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(f7433,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,[],[f7432]) ).
fof(f7434,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(f7435,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(f7436,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(f7437,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(f7438,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,[],[f7437]) ).
fof(f7439,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(f7440,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(f7441,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X2)
| ~ r1_xboole_0(k2_tarski(X0,X1),X2) ),
inference(ennf_transformation,[],[f380]) ).
fof(f7442,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(f7443,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,[],[f7442]) ).
fof(f7444,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(f7445,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| k2_xboole_0(k2_tarski(X0,X2),X1) = X1 ),
inference(flattening,[],[f7444]) ).
fof(f7446,plain,
! [X0,X1,X2] :
( ~ r1_tarski(k2_xboole_0(k2_tarski(X0,X1),X2),X2)
| r2_hidden(X0,X2) ),
inference(ennf_transformation,[],[f372]) ).
fof(f7447,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(f7448,plain,
! [X0,X1,X2,X3] :
( X0 = X3
| X0 = X2
| ~ r1_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3)) ),
inference(ennf_transformation,[],[f353]) ).
fof(f7449,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(f7450,plain,
! [X0,X1,X2] :
( ~ r1_tarski(k2_tarski(X0,X1),k1_tarski(X2))
| X0 = X2 ),
inference(ennf_transformation,[],[f351]) ).
fof(f7452,plain,
! [X0,X1] :
( X0 = X1
| k4_xboole_0(k2_tarski(X0,X1),k1_tarski(X1)) = k1_tarski(X0) ),
inference(ennf_transformation,[],[f348]) ).
fof(f7453,plain,
! [X0,X1,X2,X3] :
( X0 = X3
| X0 = X2
| k2_tarski(X0,X1) != k2_tarski(X2,X3) ),
inference(ennf_transformation,[],[f335]) ).
fof(f7454,plain,
! [X0,X1,X2] :
( k1_tarski(X0) != k2_tarski(X1,X2)
| X1 = X2 ),
inference(ennf_transformation,[],[f334]) ).
fof(f7455,plain,
! [X0,X1,X2] :
( k1_tarski(X0) != k2_tarski(X1,X2)
| X0 = X1 ),
inference(ennf_transformation,[],[f333]) ).
fof(f7456,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,[],[f6455]) ).
fof(f7457,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,[],[f7456]) ).
fof(f7458,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(f7459,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,[],[f7458]) ).
fof(f7460,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(f7461,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,[],[f7460]) ).
fof(f7462,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(f7463,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,[],[f7462]) ).
fof(f7464,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(f7465,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,[],[f7464]) ).
fof(f7466,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(f7467,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,[],[f7466]) ).
fof(f7468,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(f7469,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,[],[f7468]) ).
fof(f7470,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(f7471,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,[],[f7470]) ).
fof(f7472,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(f7473,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,[],[f7472]) ).
fof(f7474,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,[],[f6456]) ).
fof(f7475,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,[],[f7474]) ).
fof(f7476,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(f7477,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,[],[f7476]) ).
fof(f7478,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(f7479,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,[],[f7478]) ).
fof(f7480,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(f7481,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,[],[f7480]) ).
fof(f7482,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(f7483,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,[],[f7482]) ).
fof(f7484,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(f7485,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,[],[f7484]) ).
fof(f7486,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(f7487,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,[],[f7486]) ).
fof(f7488,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(f7489,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,[],[f7488]) ).
fof(f7490,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(f7491,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,[],[f7490]) ).
fof(f7492,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(f7493,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,[],[f7492]) ).
fof(f7494,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(f7495,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,[],[f7494]) ).
fof(f7496,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(f7497,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,[],[f7496]) ).
fof(f7498,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(f7499,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,[],[f7498]) ).
fof(f7500,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(f7501,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,[],[f7500]) ).
fof(f7502,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(f7503,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,[],[f7502]) ).
fof(f7510,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(f7511,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,[],[f7510]) ).
fof(f7512,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(f7513,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,[],[f7512]) ).
fof(f7514,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(f7515,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(f7516,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,[],[f7515]) ).
fof(f7517,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(f7518,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,[],[f7517]) ).
fof(f7519,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(f7520,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,[],[f7519]) ).
fof(f7521,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(f7522,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,[],[f7521]) ).
fof(f7523,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l2_lattices(X0)
& l1_lattices(X0) ) ),
inference(ennf_transformation,[],[f4579]) ).
fof(f7524,plain,
! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f4575]) ).
fof(f7525,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(f7526,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,[],[f7525]) ).
fof(f7527,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(f7528,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,[],[f7527]) ).
fof(f7529,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(f7530,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,[],[f7529]) ).
fof(f7531,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(f7532,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,[],[f7531]) ).
fof(f7533,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(f7534,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,[],[f7533]) ).
fof(f7535,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_filter_0(X0) ),
inference(ennf_transformation,[],[f5529]) ).
fof(f7536,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_filter_0(X0) ),
inference(flattening,[],[f7535]) ).
fof(f7537,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(f7538,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,[],[f7537]) ).
fof(f7539,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(f7540,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,[],[f7539]) ).
fof(f7541,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f4577]) ).
fof(f7542,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(f7543,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,[],[f7542]) ).
fof(f7546,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(f7547,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,[],[f7546]) ).
fof(f7548,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(f7549,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,[],[f7548]) ).
fof(f7550,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(f7551,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,[],[f7550]) ).
fof(f7552,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(f7553,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,[],[f7552]) ).
fof(f7554,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(f7555,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,[],[f7554]) ).
fof(f7560,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(f7561,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,[],[f7560]) ).
fof(f7562,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(f7563,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,[],[f7562]) ).
fof(f7564,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(f7565,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,[],[f7564]) ).
fof(f7566,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(f7567,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| v1_partfun1(X1,k1_xboole_0,X0) ),
inference(flattening,[],[f7566]) ).
fof(f7568,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(f7569,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,[],[f7568]) ).
fof(f7570,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(f7571,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,[],[f7570]) ).
fof(f7576,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(f7577,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,[],[f7576]) ).
fof(f7578,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(f7579,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,[],[f7578]) ).
fof(f7582,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(f7583,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,[],[f7582]) ).
fof(f7584,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(f7585,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,[],[f7584]) ).
fof(f7586,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(f7587,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,[],[f7586]) ).
fof(f7588,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(f7589,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,[],[f7588]) ).
fof(f7590,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(f7591,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,[],[f7590]) ).
fof(f7592,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(f7593,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,[],[f7592]) ).
fof(f7594,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(f7595,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,[],[f7594]) ).
fof(f7596,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(f7597,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,[],[f7596]) ).
fof(f7598,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(f7599,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,[],[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,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(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,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,[],[f7600]) ).
fof(f7602,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(f7603,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,[],[f7602]) ).
fof(f7604,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(f7605,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,[],[f7604]) ).
fof(f7606,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(f7607,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,[],[f7606]) ).
fof(f7608,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(f7609,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,[],[f7608]) ).
fof(f7610,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(f7611,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,[],[f7610]) ).
fof(f7612,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(f7613,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,[],[f7612]) ).
fof(f7614,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(f7615,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,[],[f7614]) ).
fof(f7616,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(f7617,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,[],[f7616]) ).
fof(f7618,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(f7619,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,[],[f7618]) ).
fof(f7620,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(f7621,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,[],[f7620]) ).
fof(f7622,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(f7623,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,[],[f7622]) ).
fof(f7624,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(f7625,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,[],[f7624]) ).
fof(f7626,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(f7627,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,[],[f7626]) ).
fof(f7628,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(f7629,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,[],[f7628]) ).
fof(f7630,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(f7631,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,[],[f7630]) ).
fof(f7632,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(f7633,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,[],[f7632]) ).
fof(f7634,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(f7635,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,[],[f7634]) ).
fof(f7636,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u1_cat_1(X0)) ),
inference(ennf_transformation,[],[f4468]) ).
fof(f7637,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ? [X2] : m2_cat_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f4445]) ).
fof(f7638,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ? [X2] : m2_cat_1(X2,X0,X1) ),
inference(flattening,[],[f7637]) ).
fof(f7639,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X2] :
( ~ m2_cat_1(X2,X0,X1)
| ( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
& v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
& v1_funct_1(X2) ) ) ),
inference(ennf_transformation,[],[f4444]) ).
fof(f7640,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X2] :
( ~ m2_cat_1(X2,X0,X1)
| ( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
& v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
& v1_funct_1(X2) ) ) ),
inference(flattening,[],[f7639]) ).
fof(f7641,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u2_cat_1(X0)) ),
inference(ennf_transformation,[],[f4469]) ).
fof(f7642,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| v1_xboole_0(X0)
| m1_subset_1(k10_setwiseo(X0,X1,X2,X3),k5_finsub_1(X1)) ),
inference(ennf_transformation,[],[f2532]) ).
fof(f7643,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| v1_xboole_0(X0)
| m1_subset_1(k10_setwiseo(X0,X1,X2,X3),k5_finsub_1(X1)) ),
inference(flattening,[],[f7642]) ).
fof(f7644,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2,X3] :
( ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,k5_finsub_1(X1))
& ? [X6] :
( m1_subset_1(X6,k5_finsub_1(X1))
& k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k5_setwiseo(X1,X5,X6)) != k5_setwiseo(X2,k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X5),k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X6)) ) )
| k1_setwiseo(X2) != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1))
| ! [X7] :
( ~ m1_subset_1(X7,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X7,X3)) = k10_setwiseo(X0,X2,X7,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ) ) ) ),
inference(ennf_transformation,[],[f6457]) ).
fof(f7645,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2,X3] :
( ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,k5_finsub_1(X1))
& ? [X6] :
( m1_subset_1(X6,k5_finsub_1(X1))
& k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k5_setwiseo(X1,X5,X6)) != k5_setwiseo(X2,k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X5),k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X6)) ) )
| k1_setwiseo(X2) != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1))
| ! [X7] :
( ~ m1_subset_1(X7,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X7,X3)) = k10_setwiseo(X0,X2,X7,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ) ) ) ),
inference(flattening,[],[f7644]) ).
fof(f7646,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X0))
| ! [X4] :
( r2_hidden(X4,k10_setwiseo(X0,X1,X3,X2))
<=> ? [X5] :
( r2_hidden(X4,k8_funct_2(X0,k5_finsub_1(X1),X2,X5))
& r2_hidden(X5,X3)
& m1_subset_1(X5,X0) ) ) ) ) ),
inference(ennf_transformation,[],[f2507]) ).
fof(f7647,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X0))
| ! [X4] :
( r2_hidden(X4,k10_setwiseo(X0,X1,X3,X2))
<=> ? [X5] :
( r2_hidden(X4,k8_funct_2(X0,k5_finsub_1(X1),X2,X5))
& r2_hidden(X5,X3)
& m1_subset_1(X5,X0) ) ) ) ) ),
inference(flattening,[],[f7646]) ).
fof(f7648,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2,X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X3,X1)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_1(X5)
| ? [X6] :
( m1_subset_1(X6,k5_finsub_1(X2))
& ? [X7] :
( m1_subset_1(X7,k5_finsub_1(X2))
& k8_funct_2(k5_finsub_1(X2),X1,X5,k5_setwiseo(X2,X6,X7)) != k2_binop_1(X1,X1,X1,X3,k8_funct_2(k5_finsub_1(X2),X1,X5,X6),k8_funct_2(k5_finsub_1(X2),X1,X5,X7)) ) )
| k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) != k3_binop_1(X1,X3)
| ! [X8] :
( ~ m1_subset_1(X8,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X8,X4)) = k7_setwiseo(X0,X1,X3,X8,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f6458]) ).
fof(f7649,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2,X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X3,X1)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_1(X5)
| ? [X6] :
( m1_subset_1(X6,k5_finsub_1(X2))
& ? [X7] :
( m1_subset_1(X7,k5_finsub_1(X2))
& k8_funct_2(k5_finsub_1(X2),X1,X5,k5_setwiseo(X2,X6,X7)) != k2_binop_1(X1,X1,X1,X3,k8_funct_2(k5_finsub_1(X2),X1,X5,X6),k8_funct_2(k5_finsub_1(X2),X1,X5,X7)) ) )
| k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) != k3_binop_1(X1,X3)
| ! [X8] :
( ~ m1_subset_1(X8,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X8,X4)) = k7_setwiseo(X0,X1,X3,X8,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ) ) ) ) ) ),
inference(flattening,[],[f7648]) ).
fof(f7650,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X0))
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X0))
| k10_setwiseo(X0,X1,k5_setwiseo(X0,X3,X4),X2) = k5_setwiseo(X1,k10_setwiseo(X0,X1,X3,X2),k10_setwiseo(X0,X1,X4,X2)) ) ) ) ),
inference(ennf_transformation,[],[f2498]) ).
fof(f7651,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X0))
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X0))
| k10_setwiseo(X0,X1,k5_setwiseo(X0,X3,X4),X2) = k5_setwiseo(X1,k10_setwiseo(X0,X1,X3,X2),k10_setwiseo(X0,X1,X4,X2)) ) ) ) ),
inference(flattening,[],[f7650]) ).
fof(f7652,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X0))
| k10_setwiseo(X0,X1,k5_setwiseo(X0,X4,k2_setwiseo(X0,X3)),X2) = k5_setwiseo(X1,k10_setwiseo(X0,X1,X4,X2),k8_funct_2(X0,k5_finsub_1(X1),X2,X3)) ) ) ) ),
inference(ennf_transformation,[],[f2496]) ).
fof(f7653,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X0))
| k10_setwiseo(X0,X1,k5_setwiseo(X0,X4,k2_setwiseo(X0,X3)),X2) = k5_setwiseo(X1,k10_setwiseo(X0,X1,X4,X2),k8_funct_2(X0,k5_finsub_1(X1),X2,X3)) ) ) ) ),
inference(flattening,[],[f7652]) ).
fof(f7654,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| k10_setwiseo(X0,X1,k1_setwiseo(X0),X2) = k1_xboole_0 ) ),
inference(ennf_transformation,[],[f2495]) ).
fof(f7655,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| k10_setwiseo(X0,X1,k1_setwiseo(X0),X2) = k1_xboole_0 ) ),
inference(flattening,[],[f7654]) ).
fof(f7656,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k10_setwiseo(X0,X1,k2_setwiseo(X0,X3),X2) = k8_funct_2(X0,k5_finsub_1(X1),X2,X3) ) ) ),
inference(ennf_transformation,[],[f2492]) ).
fof(f7657,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k10_setwiseo(X0,X1,k2_setwiseo(X0,X3),X2) = k8_funct_2(X0,k5_finsub_1(X1),X2,X3) ) ) ),
inference(flattening,[],[f7656]) ).
fof(f7658,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| k10_setwiseo(X0,X1,X2,X3) = k7_setwiseo(X0,k5_finsub_1(X1),k9_setwiseo(X1),X2,X3) ) ) ),
inference(ennf_transformation,[],[f2491]) ).
fof(f7659,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| k10_setwiseo(X0,X1,X2,X3) = k7_setwiseo(X0,k5_finsub_1(X1),k9_setwiseo(X1),X2,X3) ) ) ),
inference(flattening,[],[f7658]) ).
fof(f7660,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(f7661,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,[],[f7660]) ).
fof(f7662,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(f7663,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,[],[f7662]) ).
fof(f7664,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(f7665,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,[],[f7664]) ).
fof(f7666,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(f7667,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,[],[f7666]) ).
fof(f7668,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(f7669,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,[],[f7668]) ).
fof(f7672,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(f7673,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,[],[f7672]) ).
fof(f7674,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(f7675,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,[],[f7674]) ).
fof(f7676,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(f7677,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,[],[f7676]) ).
fof(f7678,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(f7679,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,[],[f7678]) ).
fof(f7680,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(f7681,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,[],[f7680]) ).
fof(f7682,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(f7683,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,[],[f7682]) ).
fof(f7684,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(f7685,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,[],[f7684]) ).
fof(f7686,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(f7687,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,[],[f7686]) ).
fof(f7688,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(f7689,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,[],[f7688]) ).
fof(f7690,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(f7691,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,[],[f7690]) ).
fof(f7692,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(f7693,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,[],[f7692]) ).
fof(f7694,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(f7695,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,[],[f7694]) ).
fof(f7696,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(f7697,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,[],[f7696]) ).
fof(f7698,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(f7699,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,[],[f7698]) ).
fof(f7700,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(f7701,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,[],[f7700]) ).
fof(f7702,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(f7703,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,[],[f7702]) ).
fof(f7704,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(f7705,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,[],[f7704]) ).
fof(f7706,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(f7707,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,[],[f7706]) ).
fof(f7708,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(f7709,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,[],[f7708]) ).
fof(f7710,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(f7711,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,[],[f7710]) ).
fof(f7712,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(f7713,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,[],[f7712]) ).
fof(f7714,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(f7715,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| r1_xreal_0(X1,X0)
| r1_xreal_0(X0,X1) ),
inference(flattening,[],[f7714]) ).
fof(f7716,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| r1_xreal_0(X0,X0) ),
inference(ennf_transformation,[],[f2723]) ).
fof(f7717,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| r1_xreal_0(X0,X0) ),
inference(flattening,[],[f7716]) ).
fof(f7718,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(f7719,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,[],[f7718]) ).
fof(f7720,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(f7721,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(f7722,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,[],[f7721]) ).
fof(f7723,plain,
! [X0] :
( ~ v1_membered(X0)
| ? [X1] :
( v1_xcmplx_0(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k2_numbers ),
inference(ennf_transformation,[],[f3074]) ).
fof(f7724,plain,
! [X0] :
( ~ v1_membered(X0)
| ? [X1] :
( v1_xcmplx_0(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k2_numbers ),
inference(flattening,[],[f7723]) ).
fof(f7725,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v1_xcmplx_0(X1) ) ),
inference(ennf_transformation,[],[f3069]) ).
fof(f7726,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v1_xcmplx_0(X1) ) ),
inference(flattening,[],[f7725]) ).
fof(f7727,plain,
! [X0] :
( v1_membered(X0)
<=> ! [X1] :
( ~ r2_hidden(X1,X0)
| v1_xcmplx_0(X1) ) ),
inference(ennf_transformation,[],[f3059]) ).
fof(f7728,plain,
! [X0] :
( ~ v1_xcmplx_0(X0)
| v1_membered(k1_tarski(X0)) ),
inference(ennf_transformation,[],[f3014]) ).
fof(f7729,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ m1_subset_1(X1,X0)
| ( v1_xreal_0(X1)
& v1_xcmplx_0(X1) ) ) ),
inference(ennf_transformation,[],[f3008]) ).
fof(f7730,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1) ) ),
inference(ennf_transformation,[],[f3007]) ).
fof(f7731,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v1_xcmplx_0(X0) ),
inference(ennf_transformation,[],[f2678]) ).
fof(f7732,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__2,X1) = k1_group_1(X0,X1,X1) ) ),
inference(ennf_transformation,[],[f5049]) ).
fof(f7733,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__2,X1) = k1_group_1(X0,X1,X1) ) ),
inference(flattening,[],[f7732]) ).
fof(f7734,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))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_funct_1(X1,np__2) != X3
| k1_funct_1(X1,np__1) != X2
| np__2 != k3_finseq_1(X1)
| k9_rlvect_1(X0,X1) = k2_rlvect_1(X0,X2,X3) ) ) ) ),
inference(ennf_transformation,[],[f4960]) ).
fof(f7735,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))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_funct_1(X1,np__2) != X3
| k1_funct_1(X1,np__1) != X2
| np__2 != k3_finseq_1(X1)
| k9_rlvect_1(X0,X1) = k2_rlvect_1(X0,X2,X3) ) ) ) ),
inference(flattening,[],[f7734]) ).
fof(f7736,plain,
! [X0] :
( ~ v1_card_1(X0)
| ( r2_hidden(np__1,X0)
<=> r1_tarski(np__2,X0) ) ),
inference(ennf_transformation,[],[f4135]) ).
fof(f7737,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ( v1_realset1(X0)
<=> ~ r1_xreal_0(np__2,k4_card_1(X0)) ) ),
inference(ennf_transformation,[],[f4092]) ).
fof(f7738,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(f7739,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_xboole_0(X0)
| ? [X2] : m2_filter_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f5797]) ).
fof(f7740,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_xboole_0(X0)
| ? [X2] : m2_filter_1(X2,X0,X1) ),
inference(flattening,[],[f7739]) ).
fof(f7741,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(f7742,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,[],[f7741]) ).
fof(f7743,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(f7744,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,[],[f7743]) ).
fof(f7745,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(f7746,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,[],[f7745]) ).
fof(f7747,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(f7748,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,[],[f7747]) ).
fof(f7749,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(f7750,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,[],[f7749]) ).
fof(f7751,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(f7752,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,[],[f7751]) ).
fof(f7753,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(f7754,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,[],[f7753]) ).
fof(f7755,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(f7756,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,[],[f7755]) ).
fof(f7757,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(f7758,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,[],[f7757]) ).
fof(f7759,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(f7760,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,[],[f7759]) ).
fof(f7761,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0)
<=> k5_rlvect_1(X0,X1) = X2 ) ) ) ),
inference(ennf_transformation,[],[f5240]) ).
fof(f7762,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0)
<=> k5_rlvect_1(X0,X1) = X2 ) ) ) ),
inference(flattening,[],[f7761]) ).
fof(f7763,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(f7764,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,[],[f7763]) ).
fof(f7765,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(f7766,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,[],[f7765]) ).
fof(f7767,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(f7768,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,[],[f7767]) ).
fof(f7769,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(f7770,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,[],[f7769]) ).
fof(f7771,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(f7772,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,[],[f7771]) ).
fof(f7773,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(f7774,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,[],[f7773]) ).
fof(f7775,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(f7776,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,[],[f7775]) ).
fof(f7777,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(f7778,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,[],[f7777]) ).
fof(f7779,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(f7780,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,[],[f7779]) ).
fof(f7781,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(f7782,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,[],[f7781]) ).
fof(f7783,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(f7784,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,[],[f7783]) ).
fof(f7785,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(f7786,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,[],[f7785]) ).
fof(f7787,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(f7788,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,[],[f7787]) ).
fof(f7789,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(f7790,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,[],[f7789]) ).
fof(f7791,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(f7792,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(f7793,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,[],[f7792]) ).
fof(f7794,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(f7795,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,[],[f7794]) ).
fof(f7796,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(f7797,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,[],[f7796]) ).
fof(f7798,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(f7799,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,[],[f7798]) ).
fof(f7800,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(f7801,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,[],[f7800]) ).
fof(f7802,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(f7803,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,[],[f7802]) ).
fof(f7804,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(f7805,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,[],[f7804]) ).
fof(f7806,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(f7807,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,[],[f7806]) ).
fof(f7808,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(f7809,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,[],[f7808]) ).
fof(f7810,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(f7811,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,[],[f7810]) ).
fof(f7812,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,[],[f6459]) ).
fof(f7813,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,[],[f7812]) ).
fof(f7816,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(f7817,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(f7818,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,[],[f7817]) ).
fof(f7819,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(f7820,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,[],[f7819]) ).
fof(f7821,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(f7822,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(flattening,[],[f7821]) ).
fof(f7823,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(f7824,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,[],[f7823]) ).
fof(f7825,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(f7826,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,[],[f7825]) ).
fof(f7827,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(f7828,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,[],[f7827]) ).
fof(f7829,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(f7830,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,[],[f7829]) ).
fof(f7831,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(f7832,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,[],[f7831]) ).
fof(f7835,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(f7836,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,[],[f7835]) ).
fof(f7837,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(f7838,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,[],[f7837]) ).
fof(f7839,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(f7840,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,[],[f7839]) ).
fof(f7841,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(f7842,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,[],[f7841]) ).
fof(f7843,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(f7844,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,[],[f7843]) ).
fof(f7847,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(f7848,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,[],[f7847]) ).
fof(f7849,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(f7850,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,[],[f7849]) ).
fof(f7853,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(f7854,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,[],[f7853]) ).
fof(f7857,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(f7858,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,[],[f7857]) ).
fof(f7859,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(f7860,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,[],[f7859]) ).
fof(f7861,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(f7862,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,[],[f7861]) ).
fof(f7863,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| m1_subset_1(k2_finseq_1(X0),k1_zfmisc_1(k5_numbers)) ),
inference(ennf_transformation,[],[f3364]) ).
fof(f7864,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(f7865,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(f7866,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(f7867,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,[],[f7866]) ).
fof(f7868,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v4_ordinal2(X1)
| k2_finseq_1(X1) != k2_finseq_1(X0)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f3259]) ).
fof(f7869,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v4_ordinal2(X1)
| k2_finseq_1(X1) != k2_finseq_1(X0)
| X0 = X1 ) ),
inference(flattening,[],[f7868]) ).
fof(f7870,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(f7871,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| r2_hidden(X0,k2_finseq_1(X0))
| X0 = np__0 ),
inference(ennf_transformation,[],[f3256]) ).
fof(f7872,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| r2_hidden(X0,k2_finseq_1(X0))
| X0 = np__0 ),
inference(flattening,[],[f7871]) ).
fof(f7873,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(f7874,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(f7875,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,[],[f7874]) ).
fof(f7876,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(f7877,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(f7878,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,[],[f7877]) ).
fof(f7879,plain,
! [X0] :
( ~ v5_membered(X0)
| ? [X1] :
( v4_ordinal2(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k5_numbers ),
inference(ennf_transformation,[],[f3078]) ).
fof(f7880,plain,
! [X0] :
( ~ v5_membered(X0)
| ? [X1] :
( v4_ordinal2(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k5_numbers ),
inference(flattening,[],[f7879]) ).
fof(f7881,plain,
! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v4_ordinal2(X1) ) ),
inference(ennf_transformation,[],[f3073]) ).
fof(f7882,plain,
! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v4_ordinal2(X1) ) ),
inference(flattening,[],[f7881]) ).
fof(f7883,plain,
! [X0] :
( v5_membered(X0)
<=> ! [X1] :
( ~ r2_hidden(X1,X0)
| v4_ordinal2(X1) ) ),
inference(ennf_transformation,[],[f3063]) ).
fof(f7884,plain,
! [X0,X1,X2] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ( v5_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,[],[f6493]) ).
fof(f7885,plain,
! [X0,X1,X2] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ( v5_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,[],[f7884]) ).
fof(f7886,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ( v5_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,[],[f6491]) ).
fof(f7887,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ( v5_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,[],[f7886]) ).
fof(f7888,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ( v5_membered(k1_tarski(X0))
& v3_membered(k1_tarski(X0))
& v2_membered(k1_tarski(X0))
& v1_membered(k1_tarski(X0)) ) ),
inference(ennf_transformation,[],[f6492]) ).
fof(f7889,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_int_1(X0) ),
inference(ennf_transformation,[],[f2729]) ).
fof(f7890,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_xreal_0(X0) ),
inference(ennf_transformation,[],[f2677]) ).
fof(f7891,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(f7892,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,[],[f7891]) ).
fof(f7893,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(f7894,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(f7895,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| r2_wellord2(k2_finseq_1(X0),X0) ),
inference(ennf_transformation,[],[f3339]) ).
fof(f7896,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(f7897,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,[],[f7896]) ).
fof(f7898,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,[],[f6460]) ).
fof(f7899,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,[],[f7898]) ).
fof(f7900,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(f7901,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,[],[f7900]) ).
fof(f7902,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,[],[f6461]) ).
fof(f7903,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,[],[f7902]) ).
fof(f7904,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(f7905,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,[],[f7904]) ).
fof(f7906,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(f7907,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(f7908,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,[],[f7907]) ).
fof(f7909,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(f7910,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,[],[f7909]) ).
fof(f7911,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(f7912,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,[],[f7911]) ).
fof(f7913,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(f7914,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,[],[f7913]) ).
fof(f7915,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(f7916,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,[],[f7915]) ).
fof(f7917,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(f7918,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,[],[f7917]) ).
fof(f7919,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(f7920,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,[],[f7919]) ).
fof(f7921,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(f7922,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,[],[f7921]) ).
fof(f7923,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(f7924,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,[],[f7923]) ).
fof(f7925,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(f7926,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,[],[f7925]) ).
fof(f7927,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(f7928,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,[],[f7927]) ).
fof(f7929,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(f7930,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,[],[f7929]) ).
fof(f7931,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(f7932,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,[],[f7931]) ).
fof(f7933,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(f7934,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,[],[f7933]) ).
fof(f7935,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(f7936,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,[],[f7935]) ).
fof(f7937,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(f7938,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,[],[f7937]) ).
fof(f7939,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(f7940,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,[],[f7939]) ).
fof(f7941,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(f7942,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,[],[f7941]) ).
fof(f7943,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ( v2_xreal_0(X0)
<=> ~ r1_xreal_0(X0,np__0) ) ),
inference(ennf_transformation,[],[f2721]) ).
fof(f7944,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(f7945,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,[],[f7944]) ).
fof(f7946,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(f7947,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,[],[f7946]) ).
fof(f7948,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(f7949,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,[],[f7948]) ).
fof(f7956,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(f7957,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,[],[f7956]) ).
fof(f7958,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(f7959,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,[],[f7958]) ).
fof(f7960,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(f7961,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,[],[f7960]) ).
fof(f7962,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) ) ),
inference(ennf_transformation,[],[f6500]) ).
fof(f7963,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) ) ),
inference(ennf_transformation,[],[f6502]) ).
fof(f7964,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) ) ),
inference(ennf_transformation,[],[f6501]) ).
fof(f7965,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ( v3_xreal_0(X0)
<=> ~ r1_xreal_0(np__0,X0) ) ),
inference(ennf_transformation,[],[f2722]) ).
fof(f7966,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(f7967,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k3_finseq_1(X0) = k1_card_1(X0) ),
inference(flattening,[],[f7966]) ).
fof(f7968,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(f7969,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,[],[f7968]) ).
fof(f7970,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(f7973,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(f7974,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,[],[f7973]) ).
fof(f7975,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(f7976,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,[],[f7975]) ).
fof(f7977,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(f7978,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,[],[f7977]) ).
fof(f7979,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(f7980,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,[],[f7979]) ).
fof(f7981,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(f7986,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(f7987,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,[],[f7986]) ).
fof(f7988,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(f7989,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,[],[f7988]) ).
fof(f7990,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(f7991,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,[],[f7990]) ).
fof(f7992,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(f7993,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,[],[f7992]) ).
fof(f7994,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(f7995,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,[],[f7994]) ).
fof(f7996,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(f7997,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,[],[f7996]) ).
fof(f7998,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_relat_1(k7_relat_1(X0,X1)) ),
inference(ennf_transformation,[],[f910]) ).
fof(f7999,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(f8000,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(f8001,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,[],[f8000]) ).
fof(f8002,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(f8003,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(f8004,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,[],[f8003]) ).
fof(f8005,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(f8006,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,[],[f8005]) ).
fof(f8007,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(f8008,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(f8009,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k7_relat_1(X0,k1_xboole_0) = k1_xboole_0 ),
inference(ennf_transformation,[],[f817]) ).
fof(f8010,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(f8011,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(f8012,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(f8013,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(f8014,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,[],[f8013]) ).
fof(f8015,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(f8016,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,[],[f8015]) ).
fof(f8017,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(f8018,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,[],[f8017]) ).
fof(f8019,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(f8020,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,[],[f8019]) ).
fof(f8021,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(f8022,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,[],[f8021]) ).
fof(f8023,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(f8024,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(f8025,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(f8026,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k7_relat_1(X0,k1_relat_1(X0)) = X0 ),
inference(ennf_transformation,[],[f805]) ).
fof(f8027,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(f8028,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| k7_relat_1(X1,X0) = X1 ),
inference(flattening,[],[f8027]) ).
fof(f8029,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(f8030,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(f8031,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(f8032,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,[],[f8031]) ).
fof(f8033,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(f8034,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(f8035,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k7_relat_1(X1,X0),X1) ),
inference(ennf_transformation,[],[f795]) ).
fof(f8036,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k1_relat_1(k7_relat_1(X1,X0)),X0) ),
inference(ennf_transformation,[],[f794]) ).
fof(f8037,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(f8038,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(f8039,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(f8040,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,[],[f8039]) ).
fof(f8041,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(f8042,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,[],[f8041]) ).
fof(f8043,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(f8044,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,[],[f8043]) ).
fof(f8045,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(f8046,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,[],[f8045]) ).
fof(f8047,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(f8048,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,[],[f8047]) ).
fof(f8049,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(f8050,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,[],[f8049]) ).
fof(f8051,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(f8052,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,[],[f8051]) ).
fof(f8053,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(f8054,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,[],[f8053]) ).
fof(f8055,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(f8056,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,[],[f8055]) ).
fof(f8057,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(f8058,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,[],[f8057]) ).
fof(f8059,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(f8060,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(f8061,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,[],[f8060]) ).
fof(f8062,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(f8063,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,[],[f8062]) ).
fof(f8064,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(f8065,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,[],[f8064]) ).
fof(f8066,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(f8067,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,[],[f8066]) ).
fof(f8068,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(f8069,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,[],[f8068]) ).
fof(f8070,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(f8071,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,[],[f8070]) ).
fof(f8072,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(f8073,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,[],[f8072]) ).
fof(f8074,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(f8075,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(f8076,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,[],[f8075]) ).
fof(f8077,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(f8078,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,[],[f8077]) ).
fof(f8079,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(f8080,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,[],[f8079]) ).
fof(f8081,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(f8082,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,[],[f8081]) ).
fof(f8083,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(f8084,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,[],[f8083]) ).
fof(f8085,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(f8086,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,[],[f8085]) ).
fof(f8087,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(f8088,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(f8089,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(f8090,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(f8091,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,[],[f8090]) ).
fof(f8092,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(f8093,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k10_relat_1(X0,k1_xboole_0) = k1_xboole_0 ),
inference(ennf_transformation,[],[f881]) ).
fof(f8094,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(f8095,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k10_relat_1(X0,k2_relat_1(X0)) = k1_relat_1(X0) ),
inference(ennf_transformation,[],[f879]) ).
fof(f8096,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(f8097,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k10_relat_1(X1,X0),k1_relat_1(X1)) ),
inference(ennf_transformation,[],[f877]) ).
fof(f8098,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(f8099,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(f8102,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(f8103,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,[],[f8102]) ).
fof(f8104,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(f8105,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,[],[f8104]) ).
fof(f8106,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(f8107,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,[],[f8106]) ).
fof(f8108,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(f8109,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,[],[f8108]) ).
fof(f8110,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(f8111,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,[],[f8110]) ).
fof(f8112,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(f8113,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,[],[f8112]) ).
fof(f8114,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(f8115,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,[],[f8114]) ).
fof(f8116,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(f8117,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,[],[f8116]) ).
fof(f8118,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(f8119,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,[],[f8118]) ).
fof(f8120,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(f8121,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,[],[f8120]) ).
fof(f8122,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(f8123,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,[],[f8122]) ).
fof(f8124,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(f8125,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,[],[f8124]) ).
fof(f8126,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(f8127,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(f8128,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(f8129,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(f8130,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,[],[f8129]) ).
fof(f8131,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(f8132,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,k1_xboole_0) = k1_xboole_0 ),
inference(ennf_transformation,[],[f858]) ).
fof(f8133,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(f8134,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,k1_relat_1(X0)) = k2_relat_1(X0) ),
inference(ennf_transformation,[],[f855]) ).
fof(f8135,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(f8136,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,X0),k2_relat_1(X1)) ),
inference(ennf_transformation,[],[f853]) ).
fof(f8137,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(f8138,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(f8139,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(f8140,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,[],[f8139]) ).
fof(f8141,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(f8142,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,[],[f8141]) ).
fof(f8143,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(f8144,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,[],[f8143]) ).
fof(f8145,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(f8146,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,[],[f8145]) ).
fof(f8147,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(f8148,plain,
! [X0] :
( ? [X1] :
( r1_xboole_0(X1,X0)
& r2_hidden(X1,X0) )
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f1561]) ).
fof(f8149,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(f8150,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(f8151,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| r1_xboole_0(k1_tarski(X0),X1) ),
inference(ennf_transformation,[],[f381]) ).
fof(f8153,plain,
! [X0,X1] :
( X0 = X1
| r1_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(ennf_transformation,[],[f342]) ).
fof(f8154,plain,
! [X0,X1] :
( X0 != X1
| ~ r1_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(ennf_transformation,[],[f341]) ).
fof(f8155,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(f8156,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,[],[f8155]) ).
fof(f8157,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(f8159,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(f8160,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(f8161,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(flattening,[],[f8160]) ).
fof(f8162,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,k4_xboole_0(X2,X1)) ),
inference(ennf_transformation,[],[f154]) ).
fof(f8163,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(f8164,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(f8165,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X1)
| r1_xboole_0(X0,k4_xboole_0(X1,X2)) ),
inference(ennf_transformation,[],[f149]) ).
fof(f8166,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(f8167,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(f8168,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(f8169,plain,
! [X0,X1] :
( ~ r1_xboole_0(k3_xboole_0(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(ennf_transformation,[],[f144]) ).
fof(f8171,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(f8172,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| r1_tarski(X0,X1) ),
inference(flattening,[],[f8171]) ).
fof(f8173,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(f8174,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,[],[f8173]) ).
fof(f8175,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(f8176,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,[],[f8175]) ).
fof(f8177,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(f8178,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ~ r1_xboole_0(X1,X0)
| ~ r1_tarski(X1,X0) ),
inference(ennf_transformation,[],[f138]) ).
fof(f8179,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ~ r1_xboole_0(X1,X0)
| ~ r1_tarski(X1,X0) ),
inference(flattening,[],[f8178]) ).
fof(f8180,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(f8181,plain,
! [X0,X1,X2] :
( v1_xboole_0(X2)
| ~ r1_xboole_0(X0,X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X2,X0) ),
inference(flattening,[],[f8180]) ).
fof(f8182,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(f8183,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| X0 = k1_xboole_0 ),
inference(flattening,[],[f8182]) ).
fof(f8184,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(f8185,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(f8186,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,[],[f8185]) ).
fof(f8187,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f8188,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,X2) ),
inference(flattening,[],[f8187]) ).
fof(f8189,plain,
! [X0,X1] :
( ~ r1_xboole_0(X0,X1)
| r1_xboole_0(X1,X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f8191,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,[],[f6462]) ).
fof(f8192,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,[],[f6463]) ).
fof(f8193,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(f8194,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,[],[f8193]) ).
fof(f8195,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(f8196,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,[],[f8195]) ).
fof(f8213,plain,
! [X0] :
( ? [X1] :
( r2_hidden(X1,X0)
& ~ v1_membered(X1) )
| v1_membered(k3_tarski(X0)) ),
inference(ennf_transformation,[],[f3099]) ).
fof(f8214,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ r1_tarski(X0,X1)
| v1_membered(X0) ),
inference(ennf_transformation,[],[f3079]) ).
fof(f8215,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ r1_tarski(X0,X1)
| v1_membered(X0) ),
inference(flattening,[],[f8214]) ).
fof(f8216,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(f8217,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(f8218,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| v1_membered(k4_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f3049]) ).
fof(f8219,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(f8221,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(f8223,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| v1_membered(k3_xboole_0(X1,X0)) ),
inference(ennf_transformation,[],[f3040]) ).
fof(f8225,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(f8226,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,[],[f8225]) ).
fof(f8227,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(f8228,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,[],[f8227]) ).
fof(f8229,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ v1_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f3034]) ).
fof(f8230,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ v1_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(flattening,[],[f8229]) ).
fof(f8231,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(f8232,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(f8234,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(f8235,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,[],[f8234]) ).
fof(f8236,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ( v2_membered(k1_tarski(X0))
& v1_membered(k1_tarski(X0)) ) ),
inference(ennf_transformation,[],[f3015]) ).
fof(f8237,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_numbers))
| ( v2_membered(X0)
& v1_membered(X0) ) ),
inference(ennf_transformation,[],[f2998]) ).
fof(f8238,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_membered(X0) ),
inference(ennf_transformation,[],[f2995]) ).
fof(f8239,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(ennf_transformation,[],[f5528]) ).
fof(f8240,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(flattening,[],[f8239]) ).
fof(f8241,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(f8242,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,[],[f8241]) ).
fof(f8243,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(f8244,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,[],[f8243]) ).
fof(f8245,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(f8246,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,[],[f8245]) ).
fof(f8247,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(f8248,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,[],[f8247]) ).
fof(f8249,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(f8250,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,[],[f8249]) ).
fof(f8290,plain,
( l3_lattices(sK23)
& ~ v3_realset2(sK23)
& v17_lattices(sK23)
& v10_lattices(sK23)
& ~ v3_struct_0(sK23)
& m1_subset_1(sK24,u1_struct_0(sK23))
& ~ r1_tarski(a_2_0_lopclset(sK23,sK24),k7_lopclset(sK23)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X0,sK23),skolemize(X1,sK24)],[f6504]) ).
fof(f8291,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(f8292,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( m1_subset_1(sK25(X1,X2),X1)
& ~ r2_hidden(sK25(X1,X2),X2) )
| r1_tarski(X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X3,sK25(X1,X2))],[f6527]) ).
fof(f8293,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( m1_subset_1(sK26(X0,X1,X2),X0)
& r2_hidden(sK26(X0,X1,X2),X1)
& ~ r2_hidden(sK26(X0,X1,X2),X2) )
| r1_tarski(X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X3,sK26(X0,X1,X2))],[f6529]) ).
fof(f8294,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(f8295,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,[],[f8294]) ).
fof(f8296,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(sK27(X0,X1),X1)
| r1_tarski(sK27(X0,X1),X0) )
& ( ~ r2_hidden(sK27(X0,X1),X1)
| ~ r1_tarski(sK27(X0,X1),X0) ) )
| X1 = k1_zfmisc_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X2,sK27(X0,X1))],[f8295]) ).
fof(f8297,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(f8298,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,[],[f8297]) ).
fof(f8299,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,[],[f6543]) ).
fof(f8300,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,[],[f8299]) ).
fof(f8301,plain,
! [X0,X1] :
( ( ~ r1_tarski(X0,X1)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) )
& ( ( r2_hidden(sK28(X0,X1),X0)
& ~ r2_hidden(sK28(X0,X1),X1) )
| r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(X2,sK28(X0,X1))],[f8300]) ).
fof(f8302,plain,
! [X0] : m1_subset_1(sK29(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(X1,sK29(X0))],[f553]) ).
fof(f8303,plain,
l3_lattices(sK30),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(X0,sK30)],[f4580]) ).
fof(f8304,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,[],[f6545]) ).
fof(f8305,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,[],[f8304]) ).
fof(f8306,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( ( ~ v3_realset2(X0)
| u1_struct_0(X0) = k1_tarski(sK31(X0)) )
& ( ! [X1] : k1_tarski(X1) != u1_struct_0(X0)
| v3_realset2(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X2,sK31(X0))],[f8305]) ).
fof(f8307,plain,
( v3_realset2(sK32)
& v4_group_1(sK32)
& v3_group_1(sK32)
& v2_group_1(sK32)
& ~ v3_struct_0(sK32)
& l1_group_1(sK32) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(X0,sK32)],[f6164]) ).
fof(f8308,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,[],[f6546]) ).
fof(f8309,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,[],[f8308]) ).
fof(f8310,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(sK33(X0),u1_struct_0(X0))
& m1_subset_1(sK34(X0),u1_struct_0(X0))
& sK33(X0) != sK34(X0) )
| v3_realset2(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33,sK34]),skolemize(X1,sK33(X0)),skolemize(X2,sK34(X0))],[f8309]) ).
fof(f8311,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,[],[f6547]) ).
fof(f8312,plain,
( v3_realset2(sK35)
& l1_struct_0(sK35) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(X0,sK35)],[f5305]) ).
fof(f8313,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r2_hidden(X0,a_2_0_lopclset(X1,X2))
| ? [X3] :
( r2_hidden(X2,X3)
& v1_filter_0(X3,X1)
& X0 = X3
& m1_filter_0(X3,X1) ) )
& ( ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ v1_filter_0(X3,X1)
| X0 != X3
| ~ m1_filter_0(X3,X1) )
| r2_hidden(X0,a_2_0_lopclset(X1,X2)) ) ) ),
inference(nnf_transformation,[],[f6549]) ).
fof(f8314,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r2_hidden(X0,a_2_0_lopclset(X1,X2))
| ? [X4] :
( r2_hidden(X2,X4)
& v1_filter_0(X4,X1)
& X0 = X4
& m1_filter_0(X4,X1) ) )
& ( ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ v1_filter_0(X3,X1)
| X0 != X3
| ~ m1_filter_0(X3,X1) )
| r2_hidden(X0,a_2_0_lopclset(X1,X2)) ) ) ),
inference(rectify,[],[f8313]) ).
fof(f8315,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r2_hidden(X0,a_2_0_lopclset(X1,X2))
| ( r2_hidden(X2,sK36(X0,X1,X2))
& v1_filter_0(sK36(X0,X1,X2),X1)
& sK36(X0,X1,X2) = X0
& m1_filter_0(sK36(X0,X1,X2),X1) ) )
& ( ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ v1_filter_0(X3,X1)
| X0 != X3
| ~ m1_filter_0(X3,X1) )
| r2_hidden(X0,a_2_0_lopclset(X1,X2)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(X4,sK36(X0,X1,X2))],[f8314]) ).
fof(f8316,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r2_hidden(X0,k7_lopclset(X1))
| ? [X2] :
( v1_filter_0(X2,X1)
& X2 = X0
& m1_filter_0(X2,X1) ) )
& ( ! [X2] :
( ~ v1_filter_0(X2,X1)
| X0 != X2
| ~ m1_filter_0(X2,X1) )
| r2_hidden(X0,k7_lopclset(X1)) ) ) ),
inference(nnf_transformation,[],[f6551]) ).
fof(f8317,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r2_hidden(X0,k7_lopclset(X1))
| ? [X3] :
( v1_filter_0(X3,X1)
& X0 = X3
& m1_filter_0(X3,X1) ) )
& ( ! [X2] :
( ~ v1_filter_0(X2,X1)
| X0 != X2
| ~ m1_filter_0(X2,X1) )
| r2_hidden(X0,k7_lopclset(X1)) ) ) ),
inference(rectify,[],[f8316]) ).
fof(f8318,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r2_hidden(X0,k7_lopclset(X1))
| ( v1_filter_0(sK37(X0,X1),X1)
& sK37(X0,X1) = X0
& m1_filter_0(sK37(X0,X1),X1) ) )
& ( ! [X2] :
( ~ v1_filter_0(X2,X1)
| X0 != X2
| ~ m1_filter_0(X2,X1) )
| r2_hidden(X0,k7_lopclset(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(X3,sK37(X0,X1))],[f8317]) ).
fof(f8319,plain,
! [X0] :
( ( v1_funct_1(sK38(X0))
& v1_relat_1(sK38(X0))
& v1_funct_1(sK39(X0))
& v1_relat_1(sK39(X0))
& k1_relat_1(sK39(X0)) = X0
& k1_relat_1(sK38(X0)) = X0
& sK38(X0) != sK39(X0) )
| X0 = k1_xboole_0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39]),skolemize(X1,sK38(X0)),skolemize(X2,sK39(X0))],[f6573]) ).
fof(f8320,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ( m1_subset_1(sK40(X0,X1),X0)
& r2_hidden(sK40(X0,X1),X1) )
| k1_xboole_0 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(X2,sK40(X0,X1))],[f6575]) ).
fof(f8321,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(f8322,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,[],[f8321]) ).
fof(f8323,plain,
! [X0] :
( ( ~ v1_xboole_0(X0)
| X0 = k1_xboole_0 )
& ( k1_xboole_0 != X0
| v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f8324,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(f8325,plain,
! [X0] :
( ( k1_xboole_0 != X0
| ! [X2] : ~ r2_hidden(X2,X0) )
& ( ? [X1] : r2_hidden(X1,X0)
| X0 = k1_xboole_0 ) ),
inference(rectify,[],[f8324]) ).
fof(f8326,plain,
! [X0] :
( ( k1_xboole_0 != X0
| ! [X2] : ~ r2_hidden(X2,X0) )
& ( r2_hidden(sK41(X0),X0)
| X0 = k1_xboole_0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(X1,sK41(X0))],[f8325]) ).
fof(f8327,plain,
! [X0,X1] : m2_relset_1(sK42(X0,X1),X0,X1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(X2,sK42(X0,X1))],[f1317]) ).
fof(f8328,plain,
( v1_funct_1(sK43)
& v1_xboole_0(sK43)
& v1_relat_1(sK43) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43]),skolemize(X0,sK43)],[f918]) ).
fof(f8329,plain,
( v1_funct_1(sK44)
& v1_relat_1(sK44) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44]),skolemize(X0,sK44)],[f914]) ).
fof(f8330,plain,
( v1_relat_1(sK45)
& ~ v1_xboole_0(sK45) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(X0,sK45)],[f686]) ).
fof(f8331,plain,
( v1_relat_1(sK46)
& v1_xboole_0(sK46) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(X0,sK46)],[f680]) ).
fof(f8332,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,[],[f6589]) ).
fof(f8333,plain,
! [X0,X1] :
( ( ! [X3] :
( ~ r2_hidden(X3,sK47(X1))
| ~ r2_hidden(X3,X1) )
& r2_hidden(sK47(X1),X1) )
| ~ r2_hidden(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47]),skolemize(X2,sK47(X1))],[f6591]) ).
fof(f8334,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,[],[f6592]) ).
fof(f8335,plain,
! [X0,X1] :
( ( ( r2_hidden(sK48(X0,X1),X0)
| r2_hidden(sK48(X0,X1),X1) )
& ( ~ r2_hidden(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))],[f8334]) ).
fof(f8336,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,[],[f6600]) ).
fof(f8337,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,[],[f8336]) ).
fof(f8338,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(sK49(X0,X1,X2),k1_zfmisc_1(X0))
& ( r2_hidden(sK49(X0,X1,X2),X1)
| r2_hidden(sK49(X0,X1,X2),X2) )
& ( ~ r2_hidden(sK49(X0,X1,X2),X1)
| ~ r2_hidden(sK49(X0,X1,X2),X2) ) )
| X1 = X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(X3,sK49(X0,X1,X2))],[f8337]) ).
fof(f8339,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ( m1_subset_1(sK50(X0,X1),X0)
& ~ r2_hidden(sK50(X0,X1),X1) )
| X0 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(X2,sK50(X0,X1))],[f6602]) ).
fof(f8340,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,[],[f6604]) ).
fof(f8341,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,[],[f8340]) ).
fof(f8342,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))],[f8341]) ).
fof(f8343,plain,
! [X0] :
( v1_xboole_0(sK52(X0))
& m1_subset_1(sK52(X0),k1_zfmisc_1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(X1,sK52(X0))],[f478]) ).
fof(f8344,plain,
! [X0] :
( v1_xboole_0(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))],[f6605]) ).
fof(f8345,plain,
~ v1_xboole_0(sK54),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54]),skolemize(X0,sK54)],[f26]) ).
fof(f8346,plain,
v1_xboole_0(sK55),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(X0,sK55)],[f25]) ).
fof(f8347,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(sK56(X0,X1),X3),X1) )
& m2_relset_1(sK56(X0,X1),k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(sK56(X0,X1),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK56(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56]),skolemize(X2,sK56(X0,X1))],[f6608]) ).
fof(f8348,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(sK57(X0,X1),sK57(X0,X1)))
| r2_hidden(k1_funct_1(X1,X3),sK57(X0,X1)) )
& m1_subset_1(sK57(X0,X1),k1_zfmisc_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57]),skolemize(X2,sK57(X0,X1))],[f6610]) ).
fof(f8349,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(f8350,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,[],[f8349]) ).
fof(f8351,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(f8352,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,[],[f8351]) ).
fof(f8353,plain,
! [X0] :
( k1_xboole_0 = X0
| ! [X1] :
( k1_tarski(X1) = k2_relat_1(sK58(X0,X1))
& k1_relat_1(sK58(X0,X1)) = X0
& v1_funct_1(sK58(X0,X1))
& v1_relat_1(sK58(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(X2,sK58(X0,X1))],[f6634]) ).
fof(f8354,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(f8355,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,[],[f8354]) ).
fof(f8356,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(f8357,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,[],[f8356]) ).
fof(f8358,plain,
! [X0,X1] :
( ( sK59(X0,X1) != X1
& r2_hidden(sK59(X0,X1),X0) )
| k1_xboole_0 = X0
| k1_tarski(X1) = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59]),skolemize(X2,sK59(X0,X1))],[f6647]) ).
fof(f8359,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(f8360,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,[],[f8359]) ).
fof(f8361,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(f8362,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(f8363,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,[],[f8362]) ).
fof(f8364,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(f8365,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,[],[f8364]) ).
fof(f8366,plain,
! [X0,X1] :
( ( k1_tarski(X0) != X1
| ! [X3] :
( ( ~ r2_hidden(X3,X1)
| X0 = X3 )
& ( X0 != X3
| r2_hidden(X3,X1) ) ) )
& ( ( ( r2_hidden(sK60(X0,X1),X1)
| sK60(X0,X1) = X0 )
& ( ~ r2_hidden(sK60(X0,X1),X1)
| sK60(X0,X1) != X0 ) )
| X1 = k1_tarski(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60]),skolemize(X2,sK60(X0,X1))],[f8365]) ).
fof(f8367,plain,
l1_struct_0(sK61),
inference(skolemize,[status(esa),new_symbols(skolem,[sK61]),skolemize(X0,sK61)],[f4266]) ).
fof(f8368,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,[],[f6653]) ).
fof(f8369,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( ~ v1_xboole_0(sK62(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))],[f6655]) ).
fof(f8370,plain,
( ~ v3_struct_0(sK63)
& l1_struct_0(sK63) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK63]),skolemize(X0,sK63)],[f4257]) ).
fof(f8371,plain,
l1_group_1(sK64),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64]),skolemize(X0,sK64)],[f5109]) ).
fof(f8372,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,[],[f6665]) ).
fof(f8373,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,[],[f8372]) ).
fof(f8374,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(sK65(X0,X1),u1_struct_0(X0))
& ( sK65(X0,X1) != k1_group_1(X0,X1,sK65(X0,X1))
| sK65(X0,X1) != k1_group_1(X0,sK65(X0,X1),X1) ) )
| X1 = k2_group_1(X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65]),skolemize(X2,sK65(X0,X1))],[f8373]) ).
fof(f8375,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,[],[f6667]) ).
fof(f8376,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,[],[f8375]) ).
fof(f8377,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,sK67(X0),X4) = X4
& k1_group_1(X0,X4,sK67(X0)) = X4 ) )
& m1_subset_1(sK67(X0),u1_struct_0(X0)) ) )
& ( ! [X1] :
( ( m1_subset_1(sK66(X0,X1),u1_struct_0(X0))
& ( sK66(X0,X1) != k1_group_1(X0,X1,sK66(X0,X1))
| sK66(X0,X1) != k1_group_1(X0,sK66(X0,X1),X1) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v2_group_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK66,sK67]),skolemize(X2,sK66(X0,X1)),skolemize(X3,sK67(X0))],[f8376]) ).
fof(f8378,plain,
( v7_group_1(sK68)
& v4_group_1(sK68)
& v3_group_1(sK68)
& v2_group_1(sK68)
& ~ v3_struct_0(sK68)
& l1_group_1(sK68) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(X0,sK68)],[f6487]) ).
fof(f8379,plain,
( v4_group_1(sK69)
& v3_group_1(sK69)
& v2_group_1(sK69)
& ~ v3_struct_0(sK69)
& l1_group_1(sK69) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(X0,sK69)],[f6485]) ).
fof(f8380,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(sK70(X0,X1),X0)
& m1_subset_1(sK71(X0,X1),X0)
& sK70(X0,X1) != sK71(X0,X1)
& r2_hidden(sK71(X0,X1),X1)
& r2_hidden(sK70(X0,X1),X1) )
| v1_realset1(X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70,sK71]),skolemize(X2,sK70(X0,X1)),skolemize(X3,sK71(X0,X1))],[f6673]) ).
fof(f8381,plain,
! [X0] :
( ( ~ v1_realset1(X0)
| ! [X3,X4] :
( X3 = X4
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X0) ) )
& ( ( sK72(X0) != sK73(X0)
& r2_hidden(sK73(X0),X0)
& r2_hidden(sK72(X0),X0) )
| v1_realset1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72,sK73]),skolemize(X1,sK72(X0)),skolemize(X2,sK73(X0))],[f6674]) ).
fof(f8382,plain,
! [X0] :
( v1_xboole_0(X0)
| ( m1_subset_1(sK74(X0),X0)
& v1_xboole_0(k4_xboole_0(X0,k1_tarski(sK74(X0)))) )
| ~ v1_realset1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK74]),skolemize(X1,sK74(X0))],[f6676]) ).
fof(f8383,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_realset1(X0)
| ( m1_subset_1(sK75(X0),X0)
& v1_xboole_0(k4_xboole_0(X0,k1_tarski(sK75(X0)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK75]),skolemize(X1,sK75(X0))],[f6678]) ).
fof(f8384,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,[],[f6679]) ).
fof(f8385,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,[],[f8384]) ).
fof(f8386,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(sK76(X0))))
| ~ v1_realset1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK76]),skolemize(X1,sK76(X0))],[f8385]) ).
fof(f8387,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,[],[f6680]) ).
fof(f8388,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,[],[f8387]) ).
fof(f8389,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,[],[f8388]) ).
fof(f8390,plain,
! [X0] :
( ( ~ v1_realset1(X0)
| k1_tarski(sK77(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,[sK77]),skolemize(X2,sK77(X0))],[f8389]) ).
fof(f8391,plain,
( ~ v1_realset1(sK78)
& ~ v1_xboole_0(sK78) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78]),skolemize(X0,sK78)],[f4065]) ).
fof(f8392,plain,
( v1_realset1(sK79)
& ~ v1_xboole_0(sK79) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK79]),skolemize(X0,sK79)],[f4064]) ).
fof(f8393,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(sK80(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80]),skolemize(X1,sK80(X0))],[f6683]) ).
fof(f8394,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( r2_hidden(sK81(X0,X1),X1)
& m1_subset_1(sK81(X0,X1),u1_struct_0(X0)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK81]),skolemize(X2,sK81(X0,X1))],[f6689]) ).
fof(f8395,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( m1_filter_0(sK82(X0,X1,X2),X0)
& ( ( r2_hidden(X2,sK82(X0,X1,X2))
& ~ r2_hidden(X1,sK82(X0,X1,X2)) )
| ( ~ r2_hidden(X2,sK82(X0,X1,X2))
& r2_hidden(X1,sK82(X0,X1,X2)) ) )
& v1_filter_0(sK82(X0,X1,X2),X0) )
| X1 = X2 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82]),skolemize(X3,sK82(X0,X1,X2))],[f6691]) ).
fof(f8396,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( ~ r2_hidden(X2,X1)
| ~ r2_hidden(k7_lattices(X0,X2),X1) )
& ( r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f6693]) ).
fof(f8397,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v1_filter_0(X1,X0)
| ( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) )
& X1 != u1_struct_0(X0) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ~ r2_hidden(k7_lattices(X0,X2),X1)
& ~ r2_hidden(X2,X1) )
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f6695]) ).
fof(f8398,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v1_filter_0(X1,X0)
| ( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) )
& X1 != u1_struct_0(X0) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ~ r2_hidden(k7_lattices(X0,X2),X1)
& ~ r2_hidden(X2,X1) )
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ) ) ) ),
inference(flattening,[],[f8397]) ).
fof(f8399,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v1_filter_0(X1,X0)
| ( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| r2_hidden(k7_lattices(X0,X3),X1)
| r2_hidden(X3,X1) )
& X1 != u1_struct_0(X0) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ~ r2_hidden(k7_lattices(X0,X2),X1)
& ~ r2_hidden(X2,X1) )
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ) ) ) ),
inference(rectify,[],[f8398]) ).
fof(f8400,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v1_filter_0(X1,X0)
| ( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| r2_hidden(k7_lattices(X0,X3),X1)
| r2_hidden(X3,X1) )
& X1 != u1_struct_0(X0) ) )
& ( ( m1_subset_1(sK83(X0,X1),u1_struct_0(X0))
& ~ r2_hidden(k7_lattices(X0,sK83(X0,X1)),X1)
& ~ r2_hidden(sK83(X0,X1),X1) )
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK83]),skolemize(X2,sK83(X0,X1))],[f8399]) ).
fof(f8402,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( m1_filter_0(sK85(X0,X1),X0)
& v1_filter_0(sK85(X0,X1),X0)
& r1_tarski(X1,sK85(X0,X1)) )
| u1_struct_0(X0) = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK85]),skolemize(X2,sK85(X0,X1))],[f6699]) ).
fof(f8403,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v1_filter_0(X1,X0)
| ( ! [X2] :
( ~ m1_filter_0(X2,X0)
| ~ r1_tarski(X1,X2)
| X1 = X2
| X2 = u1_struct_0(X0) )
& X1 != u1_struct_0(X0) ) )
& ( ? [X2] :
( m1_filter_0(X2,X0)
& r1_tarski(X1,X2)
& X1 != X2
& u1_struct_0(X0) != X2 )
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f6701]) ).
fof(f8404,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v1_filter_0(X1,X0)
| ( ! [X2] :
( ~ m1_filter_0(X2,X0)
| ~ r1_tarski(X1,X2)
| X1 = X2
| X2 = u1_struct_0(X0) )
& X1 != u1_struct_0(X0) ) )
& ( ? [X2] :
( m1_filter_0(X2,X0)
& r1_tarski(X1,X2)
& X1 != X2
& u1_struct_0(X0) != X2 )
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ) ) ) ),
inference(flattening,[],[f8403]) ).
fof(f8405,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v1_filter_0(X1,X0)
| ( ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ r1_tarski(X1,X3)
| X1 = X3
| u1_struct_0(X0) = X3 )
& X1 != u1_struct_0(X0) ) )
& ( ? [X2] :
( m1_filter_0(X2,X0)
& r1_tarski(X1,X2)
& X1 != X2
& u1_struct_0(X0) != X2 )
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ) ) ) ),
inference(rectify,[],[f8404]) ).
fof(f8406,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v1_filter_0(X1,X0)
| ( ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ r1_tarski(X1,X3)
| X1 = X3
| u1_struct_0(X0) = X3 )
& X1 != u1_struct_0(X0) ) )
& ( ( m1_filter_0(sK86(X0,X1),X0)
& r1_tarski(X1,sK86(X0,X1))
& sK86(X0,X1) != X1
& u1_struct_0(X0) != sK86(X0,X1) )
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK86]),skolemize(X2,sK86(X0,X1))],[f8405]) ).
fof(f8407,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( r2_hidden(sK87(X0,X1,X2),X0)
& ~ r2_hidden(k1_funct_1(X2,sK87(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,[sK87]),skolemize(X3,sK87(X0,X1,X2))],[f6703]) ).
fof(f8408,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ! [X3] :
( k1_funct_1(X1,X3) != sK88(X0,X1)
| ~ r2_hidden(X3,k1_relat_1(X1)) )
& r2_hidden(sK88(X0,X1),X0) )
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK88]),skolemize(X2,sK88(X0,X1))],[f6722]) ).
fof(f8409,plain,
! [X0,X1] :
( ( v1_funct_1(sK89(X0,X1))
& v1_relat_1(sK89(X0,X1))
& r1_tarski(k2_relat_1(sK89(X0,X1)),X0)
& k1_relat_1(sK89(X0,X1)) = X1 )
| ( X1 != k1_xboole_0
& X0 = k1_xboole_0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89]),skolemize(X2,sK89(X0,X1))],[f6724]) ).
fof(f8410,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,[],[f6728]) ).
fof(f8411,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,[],[f8410]) ).
fof(f8412,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,sK92(X0,X5)) = X5
& r2_hidden(sK92(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(sK90(X0,X1),X1)
| ( sK90(X0,X1) = k1_funct_1(X0,sK91(X0,X1))
& r2_hidden(sK91(X0,X1),k1_relat_1(X0)) ) )
& ( ~ r2_hidden(sK90(X0,X1),X1)
| ! [X3] :
( k1_funct_1(X0,X3) != sK90(X0,X1)
| ~ r2_hidden(X3,k1_relat_1(X0)) ) ) )
| X1 = k2_relat_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK90,sK91,sK92]),skolemize(X2,sK90(X0,X1)),skolemize(X4,sK91(X0,X1)),skolemize(X7,sK92(X0,X5))],[f8411]) ).
fof(f8413,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( r2_hidden(sK93(X0,X1),k1_relat_1(X0))
& k1_funct_1(X0,sK93(X0,X1)) != k1_funct_1(X1,sK93(X0,X1)) )
| k1_relat_1(X0) != k1_relat_1(X1)
| X0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK93]),skolemize(X2,sK93(X0,X1))],[f6730]) ).
fof(f8414,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,[],[f6731]) ).
fof(f8415,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK94(X1),k1_relat_1(X1))
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK94]),skolemize(X2,sK94(X1))],[f6738]) ).
fof(f8416,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK95(X1),k2_relat_1(X1))
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK95]),skolemize(X2,sK95(X1))],[f6740]) ).
fof(f8417,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ( r2_hidden(sK97(X0,X1,X2,X3),X1)
& r2_hidden(sK96(X0,X1,X2,X3),X0)
& k1_funct_1(X2,k4_tarski(sK96(X0,X1,X2,X3),sK97(X0,X1,X2,X3))) != k1_funct_1(X3,k4_tarski(sK96(X0,X1,X2,X3),sK97(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,[sK96,sK97]),skolemize(X4,sK96(X0,X1,X2,X3)),skolemize(X5,sK97(X0,X1,X2,X3))],[f6745]) ).
fof(f8418,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(sK98(X0,X1,X3,X4),X0)
& m1_subset_1(sK99(X0,X1,X3,X4),X1)
& k1_funct_1(X3,k4_tarski(sK98(X0,X1,X3,X4),sK99(X0,X1,X3,X4))) != k1_funct_1(X4,k4_tarski(sK98(X0,X1,X3,X4),sK99(X0,X1,X3,X4))) )
| X3 = X4 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK98,sK99]),skolemize(X5,sK98(X0,X1,X3,X4)),skolemize(X6,sK99(X0,X1,X3,X4))],[f6747]) ).
fof(f8419,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(sK101(X0,X1,X3,X4),X1)
& r2_hidden(sK100(X0,X1,X3,X4),X0)
& k1_funct_1(X3,k4_tarski(sK100(X0,X1,X3,X4),sK101(X0,X1,X3,X4))) != k1_funct_1(X4,k4_tarski(sK100(X0,X1,X3,X4),sK101(X0,X1,X3,X4))) )
| X3 = X4 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK100,sK101]),skolemize(X5,sK100(X0,X1,X3,X4)),skolemize(X6,sK101(X0,X1,X3,X4))],[f6751]) ).
fof(f8420,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(sK102(X0,X2,X3),X0)
& k1_funct_1(X3,sK102(X0,X2,X3)) != k1_funct_1(X2,sK102(X0,X2,X3)) )
| X2 = X3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK102]),skolemize(X4,sK102(X0,X2,X3))],[f6753]) ).
fof(f8421,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(sK103(X0,X2,X3),X0)
& k1_funct_1(X3,sK103(X0,X2,X3)) != k1_funct_1(X2,sK103(X0,X2,X3)) )
| X2 = X3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK103]),skolemize(X4,sK103(X0,X2,X3))],[f6755]) ).
fof(f8422,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,sK104(X0,X2,X3)) = X2
& r2_hidden(sK104(X0,X2,X3),X0) )
| k2_relat_1(X3) != X1
| ~ r2_hidden(X2,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK104]),skolemize(X4,sK104(X0,X2,X3))],[f6757]) ).
fof(f8423,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) != sK105(X0,X1,X2)
| ~ r2_hidden(X4,X0) )
& r2_hidden(sK105(X0,X1,X2),X1) )
| k2_relat_1(X2) = X1
| X1 = k1_xboole_0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK105]),skolemize(X3,sK105(X0,X1,X2))],[f6759]) ).
fof(f8424,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,[],[f6765]) ).
fof(f8425,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,[],[f8424]) ).
fof(f8426,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,[],[f6767]) ).
fof(f8427,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( v1_funct_1(sK107(X0,X1))
& v1_relat_1(sK107(X0,X1))
& k2_xboole_0(X0,X1) = sK107(X0,X1) )
| ( r2_hidden(sK106(X0,X1),k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
& k1_funct_1(X0,sK106(X0,X1)) != k1_funct_1(X1,sK106(X0,X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK106,sK107]),skolemize(X2,sK106(X0,X1)),skolemize(X3,sK107(X0,X1))],[f6775]) ).
fof(f8428,plain,
! [X0,X1,X2] :
( ( r1_tarski(X2,sK108(X0,X1,X2))
& r1_tarski(X0,sK108(X0,X1,X2))
& ~ r1_tarski(X1,sK108(X0,X1,X2)) )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| X1 = k2_xboole_0(X0,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK108]),skolemize(X3,sK108(X0,X1,X2))],[f6790]) ).
fof(f8429,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(f8430,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,[],[f8429]) ).
fof(f8431,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,[],[f8430]) ).
fof(f8432,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(sK109(X0,X1,X2),X2)
| r2_hidden(sK109(X0,X1,X2),X1)
| r2_hidden(sK109(X0,X1,X2),X0) )
& ( ~ r2_hidden(sK109(X0,X1,X2),X2)
| ( ~ r2_hidden(sK109(X0,X1,X2),X1)
& ~ r2_hidden(sK109(X0,X1,X2),X0) ) ) )
| X2 = k2_xboole_0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK109]),skolemize(X3,sK109(X0,X1,X2))],[f8431]) ).
fof(f8433,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,[],[f6814]) ).
fof(f8434,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,[],[f8433]) ).
fof(f8435,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ( k2_relat_1(X0) != X1
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| r2_hidden(k4_tarski(sK112(X0,X5),X5),X0) )
& ( ! [X6] : ~ r2_hidden(k4_tarski(X6,X5),X0)
| r2_hidden(X5,X1) ) ) )
& ( ( ( r2_hidden(sK110(X0,X1),X1)
| r2_hidden(k4_tarski(sK111(X0,X1),sK110(X0,X1)),X0) )
& ( ~ r2_hidden(sK110(X0,X1),X1)
| ! [X3] : ~ r2_hidden(k4_tarski(X3,sK110(X0,X1)),X0) ) )
| X1 = k2_relat_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK110,sK111,sK112]),skolemize(X2,sK110(X0,X1)),skolemize(X4,sK111(X0,X1)),skolemize(X7,sK112(X0,X5))],[f8434]) ).
fof(f8436,plain,
! [X0,X1,X2,X3] :
( ( m1_subset_1(sK113(X0,X1,X3),X0)
& m1_subset_1(sK114(X0,X1,X3),X1)
& k4_tarski(sK113(X0,X1,X3),sK114(X0,X1,X3)) = X3 )
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X3,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK113,sK114]),skolemize(X4,sK113(X0,X1,X3)),skolemize(X5,sK114(X0,X1,X3))],[f6818]) ).
fof(f8437,plain,
! [X0] :
( r1_tarski(X0,k2_zfmisc_1(sK116(X0),sK117(X0)))
| ( ! [X2,X3] : k4_tarski(X2,X3) != sK115(X0)
& r2_hidden(sK115(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK115,sK116,sK117]),skolemize(X1,sK115(X0)),skolemize(X4,sK116(X0)),skolemize(X5,sK117(X0))],[f6819]) ).
fof(f8438,plain,
! [X0] :
( ( ! [X2,X3] :
( k4_tarski(X2,X3) != sK118(X0)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X2,X0) ) )
& r2_hidden(sK118(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK118]),skolemize(X1,sK118(X0))],[f6820]) ).
fof(f8439,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ( r2_hidden(sK120(X0,X1,X2),X1)
& r2_hidden(sK119(X0,X1,X2),X0)
& k4_tarski(sK119(X0,X1,X2),sK120(X0,X1,X2)) = X2 )
| ~ r2_hidden(X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK119,sK120]),skolemize(X4,sK119(X0,X1,X2)),skolemize(X5,sK120(X0,X1,X2))],[f6822]) ).
fof(f8443,plain,
! [X0] :
( sP0(X0)
| ( ! [X2,X3] : k4_tarski(X2,X3) != sK124(X0)
& r2_hidden(sK124(X0),X0) )
| ( v1_funct_1(X0)
& v1_relat_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK124]),skolemize(X1,sK124(X0))],[f8252]) ).
fof(f8444,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,[],[f6826]) ).
fof(f8445,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,[],[f8444]) ).
fof(f8446,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(sK125(X0),sK127(X0)),X0)
& r2_hidden(k4_tarski(sK125(X0),sK126(X0)),X0)
& sK126(X0) != sK127(X0) )
| v1_funct_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK125,sK126,sK127]),skolemize(X1,sK125(X0)),skolemize(X2,sK126(X0)),skolemize(X3,sK127(X0))],[f8445]) ).
fof(f8447,plain,
! [X0] :
( ~ v1_relat_1(X0)
| r2_hidden(k4_tarski(sK128(X0),sK129(X0)),X0)
| X0 = k1_xboole_0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK128,sK129]),skolemize(X1,sK128(X0)),skolemize(X2,sK129(X0))],[f6828]) ).
fof(f8448,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,[],[f6829]) ).
fof(f8449,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,[],[f8448]) ).
fof(f8450,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ( k1_relat_1(X0) != X1
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| r2_hidden(k4_tarski(X5,sK132(X0,X5)),X0) )
& ( ! [X6] : ~ r2_hidden(k4_tarski(X5,X6),X0)
| r2_hidden(X5,X1) ) ) )
& ( ( ( r2_hidden(sK130(X0,X1),X1)
| r2_hidden(k4_tarski(sK130(X0,X1),sK131(X0,X1)),X0) )
& ( ~ r2_hidden(sK130(X0,X1),X1)
| ! [X3] : ~ r2_hidden(k4_tarski(sK130(X0,X1),X3),X0) ) )
| X1 = k1_relat_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK130,sK131,sK132]),skolemize(X2,sK130(X0,X1)),skolemize(X4,sK131(X0,X1)),skolemize(X7,sK132(X0,X5))],[f8449]) ).
fof(f8451,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,[],[f6830]) ).
fof(f8452,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,[],[f8451]) ).
fof(f8453,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(sK133(X0,X1),sK134(X0,X1)),X0)
& ~ r2_hidden(k4_tarski(sK133(X0,X1),sK134(X0,X1)),X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK133,sK134]),skolemize(X2,sK133(X0,X1)),skolemize(X3,sK134(X0,X1))],[f8452]) ).
fof(f8454,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,[],[f6831]) ).
fof(f8455,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,[],[f8454]) ).
fof(f8456,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(sK135(X0,X1),sK136(X0,X1)),X0)
| r2_hidden(k4_tarski(sK135(X0,X1),sK136(X0,X1)),X1) )
& ( ~ r2_hidden(k4_tarski(sK135(X0,X1),sK136(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK135(X0,X1),sK136(X0,X1)),X1) ) )
| X0 = X1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK135,sK136]),skolemize(X2,sK135(X0,X1)),skolemize(X3,sK136(X0,X1))],[f8455]) ).
fof(f8457,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,[],[f6832]) ).
fof(f8458,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,[],[f8457]) ).
fof(f8459,plain,
! [X0] :
( ( ~ v1_relat_1(X0)
| ! [X4] :
( k4_tarski(sK138(X4),sK139(X4)) = X4
| ~ r2_hidden(X4,X0) ) )
& ( ( ! [X2,X3] : k4_tarski(X2,X3) != sK137(X0)
& r2_hidden(sK137(X0),X0) )
| v1_relat_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK137,sK138,sK139]),skolemize(X1,sK137(X0)),skolemize(X5,sK138(X4)),skolemize(X6,sK139(X4))],[f8458]) ).
fof(f8460,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,[],[f6834]) ).
fof(f8461,plain,
! [X0,X1] :
( ( ( r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X0)
| r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X1) )
& ( ~ r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X1) ) )
| ( ! [X6,X7] : k4_tarski(X6,X7) != sK141(X1)
& r2_hidden(sK141(X1),X1) )
| ( ! [X3,X4] : k4_tarski(X3,X4) != sK140(X0)
& r2_hidden(sK140(X0),X0) )
| X0 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK140,sK141,sK142,sK143]),skolemize(X2,sK140(X0)),skolemize(X5,sK141(X1)),skolemize(X8,sK142(X0,X1)),skolemize(X9,sK143(X0,X1))],[f8460]) ).
fof(f8462,plain,
! [X0,X1] :
( ( r2_hidden(k4_tarski(sK145(X0,X1),sK146(X0,X1)),X0)
& ~ r2_hidden(k4_tarski(sK145(X0,X1),sK146(X0,X1)),X1) )
| ( ! [X3,X4] : k4_tarski(X3,X4) != sK144(X0)
& r2_hidden(sK144(X0),X0) )
| r1_tarski(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK144,sK145,sK146]),skolemize(X2,sK144(X0)),skolemize(X5,sK145(X0,X1)),skolemize(X6,sK146(X0,X1))],[f6836]) ).
fof(f8463,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,[],[f6838]) ).
fof(f8464,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( r2_hidden(k4_tarski(sK147(X0,X3),sK148(X0,X3)),X0)
| r2_hidden(k4_tarski(sK147(X0,X3),sK148(X0,X3)),X3) )
& ( ~ r2_hidden(k4_tarski(sK147(X0,X3),sK148(X0,X3)),X0)
| ~ r2_hidden(k4_tarski(sK147(X0,X3),sK148(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,[sK147,sK148]),skolemize(X6,sK147(X0,X3)),skolemize(X7,sK148(X0,X3))],[f8463]) ).
fof(f8465,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(k4_tarski(sK149(X0,X3),sK150(X0,X3)),X0)
& ~ r2_hidden(k4_tarski(sK149(X0,X3),sK150(X0,X3)),X3) )
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK149,sK150]),skolemize(X4,sK149(X0,X3)),skolemize(X5,sK150(X0,X3))],[f6840]) ).
fof(f8466,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,[],[f6841]) ).
fof(f8467,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(k4_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3)),k2_zfmisc_1(X0,X1))
| r2_hidden(k4_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3)),k2_zfmisc_1(X2,X3)) )
& ( ~ r2_hidden(k4_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3)),k2_zfmisc_1(X0,X1))
| ~ r2_hidden(k4_tarski(sK151(X0,X1,X2,X3),sK152(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,[sK151,sK152]),skolemize(X4,sK151(X0,X1,X2,X3)),skolemize(X5,sK152(X0,X1,X2,X3))],[f8466]) ).
fof(f8468,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(f8469,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,[],[f8468]) ).
fof(f8470,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(sK154(X0,X1,X2,X3,X4),k3_xboole_0(X2,X4))
& r2_hidden(sK153(X0,X1,X2,X3,X4),k3_xboole_0(X1,X3))
& k4_tarski(sK153(X0,X1,X2,X3,X4),sK154(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,[sK153,sK154]),skolemize(X5,sK153(X0,X1,X2,X3,X4)),skolemize(X6,sK154(X0,X1,X2,X3,X4))],[f6843]) ).
fof(f8471,plain,
! [X0,X1,X2,X3] :
( ( k4_tarski(sK155(X1,X2,X3),sK156(X1,X2,X3)) = X3
& r2_hidden(sK156(X1,X2,X3),X2)
& r2_hidden(sK155(X1,X2,X3),X1) )
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK155,sK156]),skolemize(X4,sK155(X1,X2,X3)),skolemize(X5,sK156(X1,X2,X3))],[f6844]) ).
fof(f8472,plain,
! [X0,X1,X2] :
( k4_tarski(sK157(X0),sK158(X0)) = X0
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK157,sK158]),skolemize(X3,sK157(X0)),skolemize(X4,sK158(X0))],[f6845]) ).
fof(f8473,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(f8474,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,[],[f8473]) ).
fof(f8475,plain,
! [X0,X1,X2] :
( ( k2_zfmisc_1(X0,X1) != X2
| ! [X8] :
( ( ~ r2_hidden(X8,X2)
| ( k4_tarski(sK162(X0,X1,X8),sK163(X0,X1,X8)) = X8
& r2_hidden(sK163(X0,X1,X8),X1)
& r2_hidden(sK162(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(sK159(X0,X1,X2),X2)
| ( sK159(X0,X1,X2) = k4_tarski(sK160(X0,X1,X2),sK161(X0,X1,X2))
& r2_hidden(sK161(X0,X1,X2),X1)
& r2_hidden(sK160(X0,X1,X2),X0) ) )
& ( ~ r2_hidden(sK159(X0,X1,X2),X2)
| ! [X4,X5] :
( k4_tarski(X4,X5) != sK159(X0,X1,X2)
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X0) ) ) )
| X2 = k2_zfmisc_1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK159,sK160,sK161,sK162,sK163]),skolemize(X3,sK159(X0,X1,X2)),skolemize(X6,sK160(X0,X1,X2)),skolemize(X7,sK161(X0,X1,X2)),skolemize(X11,sK162(X0,X1,X8)),skolemize(X12,sK163(X0,X1,X8))],[f8474]) ).
fof(f8476,plain,
l1_pre_topc(sK164),
inference(skolemize,[status(esa),new_symbols(skolem,[sK164]),skolemize(X0,sK164)],[f4688]) ).
fof(f8477,plain,
( ~ v3_struct_0(sK165)
& l1_group_1(sK165) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK165]),skolemize(X0,sK165)],[f6486]) ).
fof(f8478,plain,
l1_group_1(sK166),
inference(skolemize,[status(esa),new_symbols(skolem,[sK166]),skolemize(X0,sK166)],[f6488]) ).
fof(f8479,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,[],[f6856]) ).
fof(f8480,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(sK167(X1,X2,X3,X4,X6),X1)
& m1_subset_1(sK168(X1,X2,X3,X4,X6),X1)
& k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,sK167(X1,X2,X3,X4,X6),sK168(X1,X2,X3,X4,X6))) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,sK167(X1,X2,X3,X4,X6)),k8_funct_2(X1,X3,X6,sK168(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,[sK167,sK168]),skolemize(X8,sK167(X1,X2,X3,X4,X6)),skolemize(X9,sK168(X1,X2,X3,X4,X6))],[f8479]) ).
fof(f8481,plain,
! [X4,X2,X3,X5,X0,X1] :
( ~ sP3(X4,X2,X3,X5,X0,X1)
| ( ( k7_setwiseo(X0,X1,X2,X3,X4) != X5
| sP2(X1,X0,X5,X3,X2,X4) )
& ( ~ sP2(X1,X0,X5,X3,X2,X4)
| X5 = k7_setwiseo(X0,X1,X2,X3,X4) ) ) ),
inference(nnf_transformation,[],[f8255]) ).
fof(f8482,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| ( ( k7_setwiseo(X4,X5,X1,X2,X0) != X3
| sP2(X5,X4,X3,X2,X1,X0) )
& ( ~ sP2(X5,X4,X3,X2,X1,X0)
| k7_setwiseo(X4,X5,X1,X2,X0) = X3 ) ) ),
inference(rectify,[],[f8481]) ).
fof(f8483,plain,
! [X1,X0,X5,X3,X2,X4] :
( ( ~ sP2(X1,X0,X5,X3,X2,X4)
| ? [X6] :
( sP1(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] :
( ~ sP1(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) )
| sP2(X1,X0,X5,X3,X2,X4) ) ),
inference(nnf_transformation,[],[f8254]) ).
fof(f8484,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ sP2(X0,X1,X2,X3,X4,X5)
| ? [X9] :
( sP1(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] :
( ~ sP1(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) )
| sP2(X0,X1,X2,X3,X4,X5) ) ),
inference(rectify,[],[f8483]) ).
fof(f8485,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ sP2(X0,X1,X2,X3,X4,X5)
| ( sP1(X5,X0,X1,sK171(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,sK171(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(sK171(X0,X1,X2,X3,X4,X5),k1_xboole_0) = X10 )
& k8_funct_2(k5_finsub_1(X1),X0,sK171(X0,X1,X2,X3,X4,X5),X3) = X2
& m2_relset_1(sK171(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0)
& v1_funct_2(sK171(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0)
& v1_funct_1(sK171(X0,X1,X2,X3,X4,X5)) ) )
& ( ! [X6] :
( ~ sP1(X5,X0,X1,X6,X4,X3)
| ( m1_subset_1(sK170(X0,X1,X5,X6),X1)
& k8_funct_2(X1,X0,X5,sK170(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK170(X0,X1,X5,X6))) )
| ( m1_subset_1(sK169(X0,X4,X6),X0)
& r3_binop_1(X0,sK169(X0,X4,X6),X4)
& k1_funct_1(X6,k1_xboole_0) != sK169(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) )
| sP2(X0,X1,X2,X3,X4,X5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK169,sK170,sK171]),skolemize(X7,sK169(X0,X4,X6)),skolemize(X8,sK170(X0,X1,X5,X6)),skolemize(X9,sK171(X0,X1,X2,X3,X4,X5))],[f8484]) ).
fof(f8489,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,[],[f6866]) ).
fof(f8490,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,[],[f6868]) ).
fof(f8491,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,[],[f8490]) ).
fof(f8492,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,sK174(X0,X1),X1)
& m1_subset_1(sK174(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,[sK174]),skolemize(X3,sK174(X0,X1))],[f8491]) ).
fof(f8493,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,[],[f6881]) ).
fof(f8494,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,[],[f8493]) ).
fof(f8495,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,[],[f6905]) ).
fof(f8496,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,[],[f8495]) ).
fof(f8497,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(sK175(X0,X1),u1_struct_0(X0))
& ( sK175(X0,X1) != k1_group_1(X0,X1,sK175(X0,X1))
| sK175(X0,X1) != k1_group_1(X0,sK175(X0,X1),X1) ) )
| X1 = k2_group_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK175]),skolemize(X2,sK175(X0,X1))],[f6907]) ).
fof(f8498,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,[],[f6909]) ).
fof(f8499,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,[],[f8498]) ).
fof(f8500,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,[],[f6917]) ).
fof(f8501,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,[],[f8500]) ).
fof(f8502,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(sK176(X0,X1,X2),X0)
& sK176(X0,X1,X2) != k1_binop_1(X1,sK176(X0,X1,X2),X2) )
| r3_binop_1(X0,X2,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK176]),skolemize(X3,sK176(X0,X1,X2))],[f8501]) ).
fof(f8503,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,[],[f6919]) ).
fof(f8504,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,[],[f8503]) ).
fof(f8505,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(sK177(X0,X1,X2),X0)
& sK177(X0,X1,X2) != k1_binop_1(X1,X2,sK177(X0,X1,X2)) )
| r3_binop_1(X0,X2,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK177]),skolemize(X3,sK177(X0,X1,X2))],[f8504]) ).
fof(f8506,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,[],[f6921]) ).
fof(f8507,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,[],[f8506]) ).
fof(f8508,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(sK178(X0,X1,X2),X0)
& ( sK178(X0,X1,X2) != k1_binop_1(X1,sK178(X0,X1,X2),X2)
| sK178(X0,X1,X2) != k1_binop_1(X1,X2,sK178(X0,X1,X2)) ) )
| r3_binop_1(X0,X2,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK178]),skolemize(X3,sK178(X0,X1,X2))],[f8507]) ).
fof(f8509,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,[],[f6923]) ).
fof(f8510,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,[],[f8509]) ).
fof(f8511,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(sK179(X0,X1,X2),u1_struct_0(X0))
& m1_subset_1(sK180(X0,X1,X2),u1_struct_0(X0))
& k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,sK179(X0,X1,X2),sK180(X0,X1,X2))) != k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK179(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK180(X0,X1,X2))) )
| v1_group_6(X2,X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK179,sK180]),skolemize(X3,sK179(X0,X1,X2)),skolemize(X4,sK180(X0,X1,X2))],[f8510]) ).
fof(f8512,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,sK181(X0,X1,X2),X1) = X2
& m1_subset_1(sK181(X0,X1,X2),u1_struct_0(X0)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK181]),skolemize(X3,sK181(X0,X1,X2))],[f6949]) ).
fof(f8513,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,sK182(X0,X1,X2)) = X2
& m1_subset_1(sK182(X0,X1,X2),u1_struct_0(X0)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK182]),skolemize(X3,sK182(X0,X1,X2))],[f6951]) ).
fof(f8516,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)) ) ) ) )
| sP4(X0)
| ( v3_group_1(X0)
& v4_group_1(X0) ) ),
inference(rectify,[],[f8258]) ).
fof(f8517,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( m1_subset_1(sK186(X0),u1_struct_0(X0))
& m1_subset_1(sK187(X0),u1_struct_0(X0))
& ( ! [X4] :
( sK187(X0) != k1_group_1(X0,X4,sK186(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ! [X3] :
( sK187(X0) != k1_group_1(X0,sK186(X0),X3)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) ) )
| sP4(X0)
| ( v3_group_1(X0)
& v4_group_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK186,sK187]),skolemize(X1,sK186(X0)),skolemize(X2,sK187(X0))],[f8516]) ).
fof(f8520,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sP5(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,[],[f8260]) ).
fof(f8521,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sP5(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(sK191(X0,X1),u1_struct_0(X0))
& ( ! [X3] :
( k1_group_1(X0,X3,sK191(X0,X1)) != X1
| k1_group_1(X0,sK191(X0,X1),X3) != X1
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| sK191(X0,X1) != k1_group_1(X0,X1,sK191(X0,X1))
| sK191(X0,X1) != k1_group_1(X0,sK191(X0,X1),X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK191]),skolemize(X2,sK191(X0,X1))],[f8520]) ).
fof(f8522,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,[],[f6959]) ).
fof(f8523,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,[],[f8522]) ).
fof(f8524,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(sK192(X0),u1_struct_0(X0))
& m1_subset_1(sK193(X0),u1_struct_0(X0))
& m1_subset_1(sK194(X0),u1_struct_0(X0))
& k1_group_1(X0,k1_group_1(X0,sK192(X0),sK193(X0)),sK194(X0)) != k1_group_1(X0,sK192(X0),k1_group_1(X0,sK193(X0),sK194(X0))) )
| v4_group_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK192,sK193,sK194]),skolemize(X1,sK192(X0)),skolemize(X2,sK193(X0)),skolemize(X3,sK194(X0))],[f8523]) ).
fof(f8525,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,[],[f6961]) ).
fof(f8526,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,[],[f8525]) ).
fof(f8527,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( ( ~ v3_group_1(X0)
| ( ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ( sK196(X0) = k1_group_1(X0,sK197(X0,X5),X5)
& sK196(X0) = k1_group_1(X0,X5,sK197(X0,X5))
& m1_subset_1(sK197(X0,X5),u1_struct_0(X0))
& k1_group_1(X0,sK196(X0),X5) = X5
& k1_group_1(X0,X5,sK196(X0)) = X5 ) )
& m1_subset_1(sK196(X0),u1_struct_0(X0)) ) )
& ( ! [X1] :
( ( m1_subset_1(sK195(X0,X1),u1_struct_0(X0))
& ( ! [X3] :
( k1_group_1(X0,X3,sK195(X0,X1)) != X1
| k1_group_1(X0,sK195(X0,X1),X3) != X1
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| sK195(X0,X1) != k1_group_1(X0,X1,sK195(X0,X1))
| sK195(X0,X1) != k1_group_1(X0,sK195(X0,X1),X1) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_group_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK195,sK196,sK197]),skolemize(X2,sK195(X0,X1)),skolemize(X4,sK196(X0)),skolemize(X6,sK197(X0,X5))],[f8526]) ).
fof(f8528,plain,
( v7_group_1(sK198)
& v4_group_1(sK198)
& ~ v3_struct_0(sK198)
& l1_group_1(sK198) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK198]),skolemize(X0,sK198)],[f5142]) ).
fof(f8529,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( ( ~ v7_group_1(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) = k1_group_1(X0,X2,X1) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k1_group_1(X0,X1,X2) != k1_group_1(X0,X2,X1) ) )
| v7_group_1(X0) ) ) ),
inference(nnf_transformation,[],[f6963]) ).
fof(f8530,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( ( ~ v7_group_1(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k1_group_1(X0,X3,X4) = k1_group_1(X0,X4,X3) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k1_group_1(X0,X1,X2) != k1_group_1(X0,X2,X1) ) )
| v7_group_1(X0) ) ) ),
inference(rectify,[],[f8529]) ).
fof(f8531,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( ( ~ v7_group_1(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k1_group_1(X0,X3,X4) = k1_group_1(X0,X4,X3) ) ) )
& ( ( m1_subset_1(sK199(X0),u1_struct_0(X0))
& m1_subset_1(sK200(X0),u1_struct_0(X0))
& k1_group_1(X0,sK199(X0),sK200(X0)) != k1_group_1(X0,sK200(X0),sK199(X0)) )
| v7_group_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK199,sK200]),skolemize(X1,sK199(X0)),skolemize(X2,sK200(X0))],[f8530]) ).
fof(f8532,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(sK201(X0,X1),X3),k4_xboole_0(X0,k1_tarski(X1))) )
& m2_relset_1(sK201(X0,X1),k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(sK201(X0,X1),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK201(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK201]),skolemize(X2,sK201(X0,X1))],[f6964]) ).
fof(f8533,plain,
( ! [X1] :
( ~ m1_subset_1(X1,sK202)
| ~ v1_xboole_0(k4_xboole_0(sK202,k1_tarski(X1))) )
& ~ v1_xboole_0(sK202) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK202]),skolemize(X0,sK202)],[f6965]) ).
fof(f8534,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(f8536,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(f8537,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(f8538,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,[],[f8537]) ).
fof(f8539,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(f8540,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(f8541,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(f8542,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,[],[f8541]) ).
fof(f8543,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,[],[f8542]) ).
fof(f8544,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(sK203(X0,X1,X2),X2)
| ( ~ r2_hidden(sK203(X0,X1,X2),X1)
& r2_hidden(sK203(X0,X1,X2),X0) ) )
& ( ~ r2_hidden(sK203(X0,X1,X2),X2)
| r2_hidden(sK203(X0,X1,X2),X1)
| ~ r2_hidden(sK203(X0,X1,X2),X0) ) )
| X2 = k4_xboole_0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK203]),skolemize(X3,sK203(X0,X1,X2))],[f8543]) ).
fof(f8545,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(f8546,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,[],[f8545]) ).
fof(f8547,plain,
! [X0] :
( ( ~ v1_finset_1(X0)
| ( k1_card_1(X0) = k1_card_1(sK204(X0))
& m2_subset_1(sK204(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,[sK204]),skolemize(X2,sK204(X0))],[f8546]) ).
fof(f8548,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(f8549,plain,
( v1_finset_1(sK205)
& v1_funct_1(sK205)
& v1_relat_1(sK205)
& ~ v1_xboole_0(sK205) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK205]),skolemize(X0,sK205)],[f3242]) ).
fof(f8550,plain,
( v1_finset_1(sK206)
& v2_funct_1(sK206)
& v1_funct_1(sK206)
& v1_relat_1(sK206)
& v1_xboole_0(sK206) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK206]),skolemize(X0,sK206)],[f3241]) ).
fof(f8551,plain,
! [X0] :
( v1_xboole_0(X0)
| ( v1_finset_1(sK207(X0))
& ~ v1_xboole_0(sK207(X0))
& m1_subset_1(sK207(X0),k5_finsub_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK207]),skolemize(X1,sK207(X0))],[f6989]) ).
fof(f8552,plain,
! [X0] :
( v1_finset_1(sK208(X0))
& v1_xboole_0(sK208(X0))
& m1_subset_1(sK208(X0),k5_finsub_1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK208]),skolemize(X1,sK208(X0))],[f2430]) ).
fof(f8553,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,[],[f6996]) ).
fof(f8554,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(f8555,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ( ! [X3] :
( ~ r1_tarski(sK209(X1),X3)
| ~ r2_hidden(X3,X1)
| sK209(X1) = X3 )
& r2_hidden(sK209(X1),X1) )
| k1_xboole_0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK209]),skolemize(X2,sK209(X1))],[f7006]) ).
fof(f8556,plain,
! [X0] :
( v1_xboole_0(X0)
| ( v1_finset_1(sK210(X0))
& ~ v1_xboole_0(sK210(X0))
& m1_subset_1(sK210(X0),k1_zfmisc_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK210]),skolemize(X1,sK210(X0))],[f7010]) ).
fof(f8557,plain,
! [X0] :
( v1_xboole_0(X0)
| ( v1_finset_1(sK211(X0))
& ~ v1_xboole_0(sK211(X0))
& m1_subset_1(sK211(X0),k1_zfmisc_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK211]),skolemize(X1,sK211(X0))],[f7016]) ).
fof(f8558,plain,
( v1_finset_1(sK212)
& ~ v1_xboole_0(sK212) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK212]),skolemize(X0,sK212)],[f2314]) ).
fof(f8559,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,[],[f7023]) ).
fof(f8560,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,[],[f7033]) ).
fof(f8561,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( m1_subset_1(sK213(X0,X1),u1_struct_0(X0))
& sK213(X0,X1) != k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,sK213(X0,X1)) )
| X1 = k5_lattices(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK213]),skolemize(X2,sK213(X0,X1))],[f7045]) ).
fof(f8562,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( m1_subset_1(sK214(X0,X1),u1_struct_0(X0))
& sK214(X0,X1) != k3_lattices(X0,X1,sK214(X0,X1)) )
| X1 = k5_lattices(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK214]),skolemize(X2,sK214(X0,X1))],[f7047]) ).
fof(f8563,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ( m1_subset_1(sK215(X0,X1),X0)
& r2_hidden(sK215(X0,X1),X1) )
| k1_xboole_0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK215]),skolemize(X2,sK215(X0,X1))],[f7057]) ).
fof(f8564,plain,
! [X0,X1,X2] :
( ( r1_tarski(sK216(X0,X1,X2),X2)
& r1_tarski(sK216(X0,X1,X2),X1)
& ~ r1_tarski(sK216(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,[sK216]),skolemize(X3,sK216(X0,X1,X2))],[f7080]) ).
fof(f8565,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(f8566,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,[],[f8565]) ).
fof(f8567,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,[],[f8566]) ).
fof(f8568,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(sK217(X0,X1,X2),X2)
| ( r2_hidden(sK217(X0,X1,X2),X1)
& r2_hidden(sK217(X0,X1,X2),X0) ) )
& ( ~ r2_hidden(sK217(X0,X1,X2),X2)
| ~ r2_hidden(sK217(X0,X1,X2),X1)
| ~ r2_hidden(sK217(X0,X1,X2),X0) ) )
| X2 = k3_xboole_0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK217]),skolemize(X3,sK217(X0,X1,X2))],[f8567]) ).
fof(f8569,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( m1_subset_1(sK218(X0,X1),u1_struct_0(X0))
& sK218(X0,X1) != k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,sK218(X0,X1)) )
| X1 = k6_lattices(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK218]),skolemize(X2,sK218(X0,X1))],[f7089]) ).
fof(f8570,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( m1_subset_1(sK219(X0,X1),u1_struct_0(X0))
& sK219(X0,X1) != k4_lattices(X0,X1,sK219(X0,X1)) )
| X1 = k6_lattices(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK219]),skolemize(X2,sK219(X0,X1))],[f7102]) ).
fof(f8571,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,[],[f7118]) ).
fof(f8572,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,[],[f8571]) ).
fof(f8573,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(sK220(X0,X1),X0)
& m1_subset_1(sK221(X0,X1),X0)
& k2_binop_1(X0,X0,X0,X1,sK220(X0,X1),sK221(X0,X1)) != k2_binop_1(X0,X0,X0,X1,sK221(X0,X1),sK220(X0,X1)) )
| v1_binop_1(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK220,sK221]),skolemize(X2,sK220(X0,X1)),skolemize(X3,sK221(X0,X1))],[f8572]) ).
fof(f8574,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,[],[f7122]) ).
fof(f8575,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,[],[f8574]) ).
fof(f8576,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(sK222(X0,X1),X0)
& m1_subset_1(sK223(X0,X1),X0)
& m1_subset_1(sK224(X0,X1),X0)
& k2_binop_1(X0,X0,X0,X1,sK222(X0,X1),k2_binop_1(X0,X0,X0,X1,sK223(X0,X1),sK224(X0,X1))) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,sK222(X0,X1),sK223(X0,X1)),sK224(X0,X1)) )
| v2_binop_1(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK222,sK223,sK224]),skolemize(X2,sK222(X0,X1)),skolemize(X3,sK223(X0,X1)),skolemize(X4,sK224(X0,X1))],[f8575]) ).
fof(f8577,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,[],[f7124]) ).
fof(f8578,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(sK225(X1,X2,X3,X4,X6),X1)
& m1_subset_1(sK226(X1,X2,X3,X4,X6),X1)
& k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,sK225(X1,X2,X3,X4,X6),sK226(X1,X2,X3,X4,X6))) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,sK225(X1,X2,X3,X4,X6)),k8_funct_2(X1,X3,X6,sK226(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,[sK225,sK226]),skolemize(X8,sK225(X1,X2,X3,X4,X6)),skolemize(X9,sK226(X1,X2,X3,X4,X6))],[f8577]) ).
fof(f8579,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(sK227(X0,X1,X3,X4,X5),X1)
& r2_hidden(sK227(X0,X1,X3,X4,X5),X3)
& k8_funct_2(X1,X0,X4,sK227(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,[sK227]),skolemize(X6,sK227(X0,X1,X3,X4,X5))],[f7130]) ).
fof(f8580,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,[],[f7140]) ).
fof(f8581,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,[],[f8580]) ).
fof(f8582,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(sK228(X0,X1),X0)
& sK228(X0,X1) != k2_binop_1(X0,X0,X0,X1,sK228(X0,X1),sK228(X0,X1)) )
| v3_binop_1(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK228]),skolemize(X2,sK228(X0,X1))],[f8581]) ).
fof(f8583,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,[],[f7142]) ).
fof(f8584,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,[],[f8583]) ).
fof(f8585,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(sK229(X0,X1),X0)
& sK229(X0,X1) != k1_binop_1(X1,sK229(X0,X1),sK229(X0,X1)) )
| v3_binop_1(X1,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK229]),skolemize(X2,sK229(X0,X1))],[f8584]) ).
fof(f8589,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)
| sP6(X4,X3,X2,X1,X0)
| ( m1_subset_1(sK231(X0,X1,X2,X3,X4),X0)
& m1_subset_1(sK232(X0,X1,X2,X3,X4),X0)
& k8_funct_2(X0,X1,X3,sK231(X0,X1,X2,X3,X4)) = k8_funct_2(X0,X1,X3,sK232(X0,X1,X2,X3,X4))
& k8_funct_2(X0,X2,X4,sK231(X0,X1,X2,X3,X4)) != k8_funct_2(X0,X2,X4,sK232(X0,X1,X2,X3,X4)) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK231,sK232]),skolemize(X5,sK231(X0,X1,X2,X3,X4)),skolemize(X6,sK232(X0,X1,X2,X3,X4))],[f8262]) ).
fof(f8590,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(sK233(X0,X2,X3,X6),k5_finsub_1(X2))
& m1_subset_1(sK234(X0,X2,X3,X6),k5_finsub_1(X2))
& k8_funct_2(k5_finsub_1(X2),X0,X6,k5_setwiseo(X2,sK233(X0,X2,X3,X6),sK234(X0,X2,X3,X6))) != k2_binop_1(X0,X0,X0,X3,k8_funct_2(k5_finsub_1(X2),X0,X6,sK233(X0,X2,X3,X6)),k8_funct_2(k5_finsub_1(X2),X0,X6,sK234(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,[sK233,sK234]),skolemize(X7,sK233(X0,X2,X3,X6)),skolemize(X8,sK234(X0,X2,X3,X6))],[f7154]) ).
fof(f8591,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(sK235(X0,X1,X2,X3,X4),X0)
& m1_subset_1(sK236(X0,X1,X2,X3,X4),X1)
& k2_binop_1(X0,X1,X2,X3,sK235(X0,X1,X2,X3,X4),sK236(X0,X1,X2,X3,X4)) != k2_binop_1(X0,X1,X2,X4,sK235(X0,X1,X2,X3,X4),sK236(X0,X1,X2,X3,X4)) )
| X3 = X4 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK235,sK236]),skolemize(X5,sK235(X0,X1,X2,X3,X4)),skolemize(X6,sK236(X0,X1,X2,X3,X4))],[f7162]) ).
fof(f8592,plain,
! [X0,X1] :
( v1_funct_2(sK237(X0,X1),X0,X1)
& v1_funct_1(sK237(X0,X1))
& v1_relat_1(sK237(X0,X1))
& m1_relset_1(sK237(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK237]),skolemize(X2,sK237(X0,X1))],[f1690]) ).
fof(f8593,plain,
! [X0,X1] :
( v1_funct_1(sK238(X0,X1))
& v1_relat_1(sK238(X0,X1))
& m1_relset_1(sK238(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK238]),skolemize(X2,sK238(X0,X1))],[f1347]) ).
fof(f8594,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(f8595,plain,
! [X0,X1] : m1_relset_1(sK239(X0,X1),X0,X1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK239]),skolemize(X2,sK239(X0,X1))],[f1315]) ).
fof(f8596,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(f8597,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(sK240(X0,X1),X0,X1)
& v1_partfun1(sK240(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(sK240(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(sK240(X0,X1))
& v1_relat_1(sK240(X0,X1))
& ~ v1_xboole_0(sK240(X0,X1))
& m1_relset_1(sK240(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK240]),skolemize(X2,sK240(X0,X1))],[f7190]) ).
fof(f8598,plain,
v1_int_1(sK241),
inference(skolemize,[status(esa),new_symbols(skolem,[sK241]),skolemize(X0,sK241)],[f2726]) ).
fof(f8599,plain,
( v1_int_1(sK242)
& v1_xreal_0(sK242)
& v1_xcmplx_0(sK242)
& m1_subset_1(sK242,k1_numbers) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK242]),skolemize(X0,sK242)],[f2725]) ).
fof(f8600,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(f8601,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,[],[f7199]) ).
fof(f8602,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| m2_subset_1(sK243(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK243]),skolemize(X2,sK243(X0,X1))],[f7201]) ).
fof(f8603,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) != k6_group_1(X0,np__2,X1)
| k3_group_1(X0,X1) = X1 )
& ( k3_group_1(X0,X1) != X1
| k6_group_1(X0,np__2,X1) = k2_group_1(X0) ) ) ) ),
inference(nnf_transformation,[],[f7213]) ).
fof(f8604,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,X2) != k1_group_1(X0,X2,X1)
| k1_group_1(X0,X1,k3_group_1(X0,X2)) = k1_group_1(X0,k3_group_1(X0,X2),X1) )
& ( k1_group_1(X0,X1,k3_group_1(X0,X2)) != k1_group_1(X0,k3_group_1(X0,X2),X1)
| k1_group_1(X0,X1,X2) = k1_group_1(X0,X2,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f7215]) ).
fof(f8605,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,X2) != k1_group_1(X0,X2,X1)
| k1_group_1(X0,k3_group_1(X0,X1),k3_group_1(X0,X2)) = k1_group_1(X0,k3_group_1(X0,X2),k3_group_1(X0,X1)) )
& ( k1_group_1(X0,k3_group_1(X0,X2),k3_group_1(X0,X1)) != k1_group_1(X0,k3_group_1(X0,X1),k3_group_1(X0,X2))
| k1_group_1(X0,X1,X2) = k1_group_1(X0,X2,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f7217]) ).
fof(f8606,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,X2) != k1_group_1(X0,X2,X1)
| k3_group_1(X0,k1_group_1(X0,X1,X2)) = k1_group_1(X0,k3_group_1(X0,X1),k3_group_1(X0,X2)) )
& ( k3_group_1(X0,k1_group_1(X0,X1,X2)) != k1_group_1(X0,k3_group_1(X0,X1),k3_group_1(X0,X2))
| k1_group_1(X0,X1,X2) = k1_group_1(X0,X2,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f7219]) ).
fof(f8607,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,X1,X2) != X3
| X1 = k1_group_1(X0,X3,k3_group_1(X0,X2)) )
& ( k1_group_1(X0,X3,k3_group_1(X0,X2)) != X1
| k1_group_1(X0,X1,X2) = X3 ) ) ) ) ) ),
inference(nnf_transformation,[],[f7223]) ).
fof(f8608,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,X1,X2) != X3
| X2 = k1_group_1(X0,k3_group_1(X0,X1),X3) )
& ( k1_group_1(X0,k3_group_1(X0,X1),X3) != X2
| k1_group_1(X0,X1,X2) = X3 ) ) ) ) ) ),
inference(nnf_transformation,[],[f7225]) ).
fof(f8609,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,[],[f7231]) ).
fof(f8610,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,[],[f8609]) ).
fof(f8611,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(sK244(X0,X1,X2),X0)
& m1_subset_1(sK245(X0,X1,X2),X0)
& m1_subset_1(sK246(X0,X1,X2),X0)
& m1_subset_1(sK247(X0,X1,X2),X0)
& r2_hidden(k1_domain_1(X0,X0,sK246(X0,X1,X2),sK247(X0,X1,X2)),X1)
& r2_hidden(k1_domain_1(X0,X0,sK244(X0,X1,X2),sK245(X0,X1,X2)),X1)
& ~ r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X2,sK244(X0,X1,X2),sK246(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK245(X0,X1,X2),sK247(X0,X1,X2))),X1) )
| m2_filter_1(X2,X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK244,sK245,sK246,sK247]),skolemize(X3,sK244(X0,X1,X2)),skolemize(X4,sK245(X0,X1,X2)),skolemize(X5,sK246(X0,X1,X2)),skolemize(X6,sK247(X0,X1,X2))],[f8610]) ).
fof(f8612,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,[],[f7245]) ).
fof(f8613,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,[],[f8612]) ).
fof(f8614,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,[],[f7247]) ).
fof(f8615,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,[],[f8614]) ).
fof(f8616,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,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,[],[f7249]) ).
fof(f8617,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,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,[],[f8616]) ).
fof(f8618,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,[],[f7253]) ).
fof(f8619,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,[],[f8618]) ).
fof(f8620,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(sK248(X0),u1_struct_0(X0))
& m1_subset_1(sK249(X0),u1_struct_0(X0))
& k1_binop_1(u1_rlvect_1(X0),sK248(X0),sK249(X0)) != k1_binop_1(u1_rlvect_1(X0),sK249(X0),sK248(X0)) )
| v3_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK248,sK249]),skolemize(X1,sK248(X0)),skolemize(X2,sK249(X0))],[f8619]) ).
fof(f8621,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,[],[f7255]) ).
fof(f8622,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,[],[f8621]) ).
fof(f8623,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(sK250(X0),u1_struct_0(X0))
& m1_subset_1(sK251(X0),u1_struct_0(X0))
& m1_subset_1(sK252(X0),u1_struct_0(X0))
& k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),sK250(X0),sK251(X0)),sK252(X0)) != k1_binop_1(u1_rlvect_1(X0),sK250(X0),k1_binop_1(u1_rlvect_1(X0),sK251(X0),sK252(X0))) )
| v4_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK250,sK251,sK252]),skolemize(X1,sK250(X0)),skolemize(X2,sK251(X0)),skolemize(X3,sK252(X0))],[f8622]) ).
fof(f8624,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,[],[f7259]) ).
fof(f8625,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,[],[f8624]) ).
fof(f8626,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(sK253(X0,X1,X2),X0)
& m1_subset_1(sK254(X0,X1,X2),X0)
& m1_subset_1(sK255(X0,X1,X2),X0)
& ( k1_binop_1(X1,k1_binop_1(X2,sK253(X0,X1,X2),sK254(X0,X1,X2)),sK255(X0,X1,X2)) != k1_binop_1(X2,k1_binop_1(X1,sK253(X0,X1,X2),sK255(X0,X1,X2)),k1_binop_1(X1,sK254(X0,X1,X2),sK255(X0,X1,X2)))
| k1_binop_1(X1,sK253(X0,X1,X2),k1_binop_1(X2,sK254(X0,X1,X2),sK255(X0,X1,X2))) != k1_binop_1(X2,k1_binop_1(X1,sK253(X0,X1,X2),sK254(X0,X1,X2)),k1_binop_1(X1,sK253(X0,X1,X2),sK255(X0,X1,X2))) ) )
| r6_binop_1(X0,X1,X2) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK253,sK254,sK255]),skolemize(X3,sK253(X0,X1,X2)),skolemize(X4,sK254(X0,X1,X2)),skolemize(X5,sK255(X0,X1,X2))],[f8625]) ).
fof(f8627,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,[],[f7261]) ).
fof(f8628,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,[],[f8627]) ).
fof(f8629,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(sK256(X0,X1),X0)
& m1_subset_1(sK257(X0,X1),X0)
& m1_subset_1(sK258(X0,X1),X0)
& k1_binop_1(X1,sK256(X0,X1),k1_binop_1(X1,sK257(X0,X1),sK258(X0,X1))) != k1_binop_1(X1,k1_binop_1(X1,sK256(X0,X1),sK257(X0,X1)),sK258(X0,X1)) )
| v2_binop_1(X1,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK256,sK257,sK258]),skolemize(X2,sK256(X0,X1)),skolemize(X3,sK257(X0,X1)),skolemize(X4,sK258(X0,X1))],[f8628]) ).
fof(f8630,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,[],[f7263]) ).
fof(f8631,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,[],[f8630]) ).
fof(f8632,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(sK259(X0,X1),X0)
& m1_subset_1(sK260(X0,X1),X0)
& k1_binop_1(X1,sK259(X0,X1),sK260(X0,X1)) != k1_binop_1(X1,sK260(X0,X1),sK259(X0,X1)) )
| v1_binop_1(X1,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK259,sK260]),skolemize(X2,sK259(X0,X1)),skolemize(X3,sK260(X0,X1))],[f8631]) ).
fof(f8633,plain,
! [X0] :
( ~ sP8(X0)
| ( ( ~ v2_funct_1(X0)
| sP7(X0) )
& ( ~ sP7(X0)
| v2_funct_1(X0) ) ) ),
inference(nnf_transformation,[],[f8264]) ).
fof(f8637,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( v1_funct_1(sK263(X0,X1))
& v1_relat_1(sK263(X0,X1))
& v1_funct_1(sK264(X0,X1))
& v1_relat_1(sK264(X0,X1))
& k5_relat_1(X1,sK263(X0,X1)) = k5_relat_1(X1,sK264(X0,X1))
& k1_relat_1(sK264(X0,X1)) = X0
& k1_relat_1(sK263(X0,X1)) = X0
& sK263(X0,X1) != sK264(X0,X1) )
| ~ r1_tarski(k2_relat_1(X1),X0)
| X0 = k2_relat_1(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK263,sK264]),skolemize(X2,sK263(X0,X1)),skolemize(X3,sK264(X0,X1))],[f7330]) ).
fof(f8638,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,[],[f7340]) ).
fof(f8639,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,[],[f8638]) ).
fof(f8640,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,[],[f7342]) ).
fof(f8641,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,[],[f8640]) ).
fof(f8642,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(sK266(X0,X1,X2),k1_relat_1(X2))
& k1_funct_1(X2,sK266(X0,X1,X2)) != k1_funct_1(X1,k1_funct_1(X0,sK266(X0,X1,X2))) )
| ( ( r2_hidden(sK265(X0,X1,X2),k1_relat_1(X2))
| ( r2_hidden(k1_funct_1(X0,sK265(X0,X1,X2)),k1_relat_1(X1))
& r2_hidden(sK265(X0,X1,X2),k1_relat_1(X0)) ) )
& ( ~ r2_hidden(sK265(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,sK265(X0,X1,X2)),k1_relat_1(X1))
| ~ r2_hidden(sK265(X0,X1,X2),k1_relat_1(X0)) ) )
| X2 = k5_relat_1(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK265,sK266]),skolemize(X3,sK265(X0,X1,X2)),skolemize(X4,sK266(X0,X1,X2))],[f8641]) ).
fof(f8643,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,[],[f7371]) ).
fof(f8644,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,[],[f8643]) ).
fof(f8645,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(sK270(X0,X1,X7,X8),X8),X1)
& r2_hidden(k4_tarski(X7,sK270(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(sK267(X0,X1,X2),sK268(X0,X1,X2)),X2)
| ( r2_hidden(k4_tarski(sK269(X0,X1,X2),sK268(X0,X1,X2)),X1)
& r2_hidden(k4_tarski(sK267(X0,X1,X2),sK269(X0,X1,X2)),X0) ) )
& ( ~ r2_hidden(k4_tarski(sK267(X0,X1,X2),sK268(X0,X1,X2)),X2)
| ! [X5] :
( ~ r2_hidden(k4_tarski(X5,sK268(X0,X1,X2)),X1)
| ~ r2_hidden(k4_tarski(sK267(X0,X1,X2),X5),X0) ) ) )
| X2 = k5_relat_1(X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK267,sK268,sK269,sK270]),skolemize(X3,sK267(X0,X1,X2)),skolemize(X4,sK268(X0,X1,X2)),skolemize(X6,sK269(X0,X1,X2)),skolemize(X10,sK270(X0,X1,X7,X8))],[f8644]) ).
fof(f8646,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,[],[f7376]) ).
fof(f8647,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,[],[f7377]) ).
fof(f8648,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(f8649,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,[],[f8648]) ).
fof(f8650,plain,
! [X0,X1] :
( ( k1_card_1(X0) != k1_card_1(k1_tarski(X1))
| k1_tarski(sK271(X0)) = X0 )
& ( ! [X2] : k1_tarski(X2) != X0
| k1_card_1(X0) = k1_card_1(k1_tarski(X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK271]),skolemize(X3,sK271(X0))],[f8649]) ).
fof(f8651,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(f8652,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,[],[f8651]) ).
fof(f8653,plain,
! [X0,X1] :
( ( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| ( r1_tarski(X0,k2_relat_1(sK272(X0,X1)))
& k1_relat_1(sK272(X0,X1)) = X1
& v1_funct_1(sK272(X0,X1))
& v1_relat_1(sK272(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,[sK272]),skolemize(X3,sK272(X0,X1))],[f8652]) ).
fof(f8654,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(f8655,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,[],[f8654]) ).
fof(f8656,plain,
! [X0,X1] :
( ( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| ( r1_tarski(k2_relat_1(sK273(X0,X1)),X1)
& k1_relat_1(sK273(X0,X1)) = X0
& v2_funct_1(sK273(X0,X1))
& v1_funct_1(sK273(X0,X1))
& v1_relat_1(sK273(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,[sK273]),skolemize(X3,sK273(X0,X1))],[f8655]) ).
fof(f8657,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,[],[f7383]) ).
fof(f8658,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,[],[f8657]) ).
fof(f8659,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(sK274(X0,X1,X2),X0)
& m1_subset_1(sK275(X0,X1,X2),X0)
& k8_funct_2(X0,X1,X2,sK274(X0,X1,X2)) = k8_funct_2(X0,X1,X2,sK275(X0,X1,X2))
& sK274(X0,X1,X2) != sK275(X0,X1,X2) )
| v2_funct_1(X2) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK274,sK275]),skolemize(X3,sK274(X0,X1,X2)),skolemize(X4,sK275(X0,X1,X2))],[f8658]) ).
fof(f8660,plain,
( v1_finseq_1(sK276)
& v1_finset_1(sK276)
& v2_funct_1(sK276)
& v1_funct_1(sK276)
& v1_relat_1(sK276)
& v1_xboole_0(sK276) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK276]),skolemize(X0,sK276)],[f3230]) ).
fof(f8661,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,[],[f7389]) ).
fof(f8662,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,[],[f8661]) ).
fof(f8663,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,sK277(X0,X1)) = k1_funct_1(X1,sK278(X0,X1))
& r2_hidden(sK278(X0,X1),X0)
& r2_hidden(sK277(X0,X1),X0)
& sK277(X0,X1) != sK278(X0,X1) )
| v2_funct_1(X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK277,sK278]),skolemize(X2,sK277(X0,X1)),skolemize(X3,sK278(X0,X1))],[f8662]) ).
fof(f8667,plain,
( v1_xboole_0(sK281)
& v2_funct_1(sK281)
& v1_funct_1(sK281)
& v1_relat_1(sK281) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK281]),skolemize(X0,sK281)],[f1346]) ).
fof(f8668,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,[],[f7399]) ).
fof(f8669,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,[],[f8668]) ).
fof(f8670,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(sK283(X0,X3))) )
& ( ! [X2] : ~ r1_tarski(k10_relat_1(X0,k1_tarski(sK282(X0))),k1_tarski(X2))
| v2_funct_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK282,sK283]),skolemize(X1,sK282(X0)),skolemize(X4,sK283(X0,X3))],[f8669]) ).
fof(f8671,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k9_relat_1(X0,sK284(X0))),sK284(X0))
| v2_funct_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK284]),skolemize(X1,sK284(X0))],[f7403]) ).
fof(f8672,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,[],[f7407]) ).
fof(f8673,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,[],[f8672]) ).
fof(f8674,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( ( ( ! [X4] : k1_tarski(X4) != k10_relat_1(X0,k1_tarski(sK286(X0)))
& r2_hidden(sK286(X0),k2_relat_1(X0)) )
| v2_funct_1(X0) )
& ( ~ v2_funct_1(X0)
| ! [X1] :
( k10_relat_1(X0,k1_tarski(X1)) = k1_tarski(sK285(X0,X1))
| ~ r2_hidden(X1,k2_relat_1(X0)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK285,sK286]),skolemize(X2,sK285(X0,X1)),skolemize(X3,sK286(X0))],[f8673]) ).
fof(f8675,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,k4_xboole_0(sK287(X0),sK288(X0))) != k4_xboole_0(k9_relat_1(X0,sK287(X0)),k9_relat_1(X0,sK288(X0)))
| v2_funct_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK287,sK288]),skolemize(X1,sK287(X0)),skolemize(X2,sK288(X0))],[f7411]) ).
fof(f8676,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,k3_xboole_0(sK289(X0),sK290(X0))) != k3_xboole_0(k9_relat_1(X0,sK289(X0)),k9_relat_1(X0,sK290(X0)))
| v2_funct_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK289,sK290]),skolemize(X1,sK289(X0)),skolemize(X2,sK290(X0))],[f7415]) ).
fof(f8677,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,[],[f7421]) ).
fof(f8678,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,[],[f8677]) ).
fof(f8679,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,sK291(X0)) = k1_funct_1(X0,sK292(X0))
& r2_hidden(sK292(X0),k1_relat_1(X0))
& r2_hidden(sK291(X0),k1_relat_1(X0))
& sK291(X0) != sK292(X0) )
| v2_funct_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK291,sK292]),skolemize(X1,sK291(X0)),skolemize(X2,sK292(X0))],[f8678]) ).
fof(f8680,plain,
( v2_funct_1(sK293)
& v1_funct_1(sK293)
& v1_relat_1(sK293) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK293]),skolemize(X0,sK293)],[f920]) ).
fof(f8681,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,[],[f7434]) ).
fof(f8682,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,[],[f8681]) ).
fof(f8683,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(f8684,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,[],[f8683]) ).
fof(f8685,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(f8686,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,[],[f8685]) ).
fof(f8687,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(f8688,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,[],[f8687]) ).
fof(f8689,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,[],[f7447]) ).
fof(f8690,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,[],[f8689]) ).
fof(f8691,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(f8692,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,[],[f8691]) ).
fof(f8693,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(f8694,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,[],[f8693]) ).
fof(f8695,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,[],[f8694]) ).
fof(f8696,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(sK294(X0,X1,X2),X2)
| sK294(X0,X1,X2) = X1
| sK294(X0,X1,X2) = X0 )
& ( ~ r2_hidden(sK294(X0,X1,X2),X2)
| ( sK294(X0,X1,X2) != X1
& sK294(X0,X1,X2) != X0 ) ) )
| X2 = k2_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK294]),skolemize(X3,sK294(X0,X1,X2))],[f8695]) ).
fof(f8700,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)
| ( sP10(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) ) ) ) )
& ( ~ sP10(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,[],[f8269]) ).
fof(f8701,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)
| ( sP10(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) ) ) ) )
& ( ~ sP10(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,[],[f8700]) ).
fof(f8702,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)
| ( sP10(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) ) ) ) )
& ( ~ sP10(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,[],[f8701]) ).
fof(f8703,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)
| ( sP10(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) ) ) ) )
& ( ~ sP10(X1,X0)
| ( m1_subset_1(sK297(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK298(X0,X1),u1_struct_0(X0))
& r2_hidden(sK298(X0,X1),X1)
& r2_hidden(sK297(X0,X1),X1)
& ~ r2_hidden(k4_lattices(X0,sK297(X0,X1),sK298(X0,X1)),X1) )
| m1_filter_0(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK297,sK298]),skolemize(X2,sK297(X0,X1)),skolemize(X3,sK298(X0,X1))],[f8702]) ).
fof(f8704,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,[],[f7473]) ).
fof(f8705,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,[],[f8704]) ).
fof(f8706,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,[],[f8705]) ).
fof(f8707,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(sK299(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK300(X0,X1),u1_struct_0(X0))
& ( ( r2_hidden(sK300(X0,X1),X1)
& r2_hidden(sK299(X0,X1),X1) )
| r2_hidden(k4_lattices(X0,sK299(X0,X1),sK300(X0,X1)),X1) )
& ( ~ r2_hidden(sK300(X0,X1),X1)
| ~ r2_hidden(sK299(X0,X1),X1)
| ~ r2_hidden(k4_lattices(X0,sK299(X0,X1),sK300(X0,X1)),X1) ) )
| m1_filter_0(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK299,sK300]),skolemize(X2,sK299(X0,X1)),skolemize(X3,sK300(X0,X1))],[f8706]) ).
fof(f8708,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,[],[f7475]) ).
fof(f8709,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,[],[f8708]) ).
fof(f8710,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( ( m1_subset_1(sK304(X0),u1_struct_0(X0))
& m1_subset_1(sK305(X0),u1_struct_0(X0))
& m1_subset_1(sK306(X0),u1_struct_0(X0))
& k4_lattices(X0,sK304(X0),k3_lattices(X0,sK305(X0),sK306(X0))) != k3_lattices(X0,k4_lattices(X0,sK304(X0),sK305(X0)),k4_lattices(X0,sK304(X0),sK306(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(sK301(X0),u1_struct_0(X0))
& m1_subset_1(sK302(X0),u1_struct_0(X0))
& m1_subset_1(sK303(X0),u1_struct_0(X0))
& k3_lattices(X0,sK301(X0),k4_lattices(X0,sK302(X0),sK303(X0))) != k4_lattices(X0,k3_lattices(X0,sK301(X0),sK302(X0)),k3_lattices(X0,sK301(X0),sK303(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,[sK301,sK302,sK303,sK304,sK305,sK306]),skolemize(X4,sK301(X0)),skolemize(X5,sK302(X0)),skolemize(X6,sK303(X0)),skolemize(X10,sK304(X0)),skolemize(X11,sK305(X0)),skolemize(X12,sK306(X0))],[f8709]) ).
fof(f8711,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( m1_subset_1(sK307(X0),u1_struct_0(X0))
& m1_subset_1(sK308(X0),u1_struct_0(X0))
& m1_subset_1(sK309(X0),u1_struct_0(X0))
& k3_lattices(X0,k3_lattices(X0,k4_lattices(X0,sK307(X0),sK308(X0)),k4_lattices(X0,sK308(X0),sK309(X0))),k4_lattices(X0,sK309(X0),sK307(X0))) != k4_lattices(X0,k4_lattices(X0,k3_lattices(X0,sK307(X0),sK308(X0)),k3_lattices(X0,sK308(X0),sK309(X0))),k3_lattices(X0,sK309(X0),sK307(X0))) )
| v11_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK307,sK308,sK309]),skolemize(X1,sK307(X0)),skolemize(X2,sK308(X0)),skolemize(X3,sK309(X0))],[f7485]) ).
fof(f8716,plain,
l1_lattices(sK311),
inference(skolemize,[status(esa),new_symbols(skolem,[sK311]),skolemize(X0,sK311)],[f4576]) ).
fof(f8717,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,[],[f7526]) ).
fof(f8718,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,[],[f8717]) ).
fof(f8719,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(sK312(X0,X1),u1_struct_0(X0))
& ( k2_lattices(X0,sK312(X0,X1),X1) != X1
| k2_lattices(X0,X1,sK312(X0,X1)) != X1 ) )
| X1 = k5_lattices(X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK312]),skolemize(X2,sK312(X0,X1))],[f8718]) ).
fof(f8720,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,[],[f7528]) ).
fof(f8721,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,[],[f8720]) ).
fof(f8722,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v13_lattices(X0)
| ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( sK314(X0) = k2_lattices(X0,X4,sK314(X0))
& sK314(X0) = k2_lattices(X0,sK314(X0),X4) ) )
& m1_subset_1(sK314(X0),u1_struct_0(X0)) ) )
& ( ! [X1] :
( ( m1_subset_1(sK313(X0,X1),u1_struct_0(X0))
& ( k2_lattices(X0,sK313(X0,X1),X1) != X1
| k2_lattices(X0,X1,sK313(X0,X1)) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v13_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK313,sK314]),skolemize(X2,sK313(X0,X1)),skolemize(X3,sK314(X0))],[f8721]) ).
fof(f8723,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,[],[f7530]) ).
fof(f8724,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,[],[f8723]) ).
fof(f8725,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(sK315(X0),u1_struct_0(X0))
& m1_subset_1(sK316(X0),u1_struct_0(X0))
& m1_subset_1(sK317(X0),u1_struct_0(X0))
& k2_lattices(X0,sK315(X0),k2_lattices(X0,sK316(X0),sK317(X0))) != k2_lattices(X0,k2_lattices(X0,sK315(X0),sK316(X0)),sK317(X0)) )
| v7_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK315,sK316,sK317]),skolemize(X1,sK315(X0)),skolemize(X2,sK316(X0)),skolemize(X3,sK317(X0))],[f8724]) ).
fof(f8726,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,[],[f7532]) ).
fof(f8727,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,[],[f8726]) ).
fof(f8728,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(sK318(X0),u1_struct_0(X0))
& m1_subset_1(sK319(X0),u1_struct_0(X0))
& k2_lattices(X0,sK318(X0),sK319(X0)) != k2_lattices(X0,sK319(X0),sK318(X0)) )
| v6_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK318,sK319]),skolemize(X1,sK318(X0)),skolemize(X2,sK319(X0))],[f8727]) ).
fof(f8729,plain,
l2_lattices(sK320),
inference(skolemize,[status(esa),new_symbols(skolem,[sK320]),skolemize(X0,sK320)],[f4578]) ).
fof(f8732,plain,
( v3_filter_0(sK321)
& v10_lattices(sK321)
& v9_lattices(sK321)
& v8_lattices(sK321)
& v7_lattices(sK321)
& v6_lattices(sK321)
& v5_lattices(sK321)
& v4_lattices(sK321)
& v3_lattices(sK321)
& ~ v3_struct_0(sK321)
& l3_lattices(sK321) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK321]),skolemize(X0,sK321)],[f5479]) ).
fof(f8735,plain,
( v15_lattices(sK322)
& v14_lattices(sK322)
& v13_lattices(sK322)
& v10_lattices(sK322)
& v9_lattices(sK322)
& v8_lattices(sK322)
& v7_lattices(sK322)
& v6_lattices(sK322)
& v5_lattices(sK322)
& v4_lattices(sK322)
& v3_lattices(sK322)
& ~ v3_struct_0(sK322)
& l3_lattices(sK322) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK322]),skolemize(X0,sK322)],[f4495]) ).
fof(f8736,plain,
( v10_lattices(sK323)
& v9_lattices(sK323)
& v8_lattices(sK323)
& v7_lattices(sK323)
& v6_lattices(sK323)
& v5_lattices(sK323)
& v4_lattices(sK323)
& v3_lattices(sK323)
& ~ v3_struct_0(sK323)
& l3_lattices(sK323) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK323]),skolemize(X0,sK323)],[f4491]) ).
fof(f8737,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(sK324(X0,X1),X3) )
& r1_tarski(X1,sK324(X0,X1))
& m2_relset_1(sK324(X0,X1),X0,X0)
& v1_partfun1(sK324(X0,X1),X0,X0)
& v8_relat_2(sK324(X0,X1))
& v3_relat_2(sK324(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK324]),skolemize(X2,sK324(X0,X1))],[f7551]) ).
fof(f8738,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,[],[f7587]) ).
fof(f8739,plain,
! [X2,X0,X1] :
( ~ sP13(X2,X0,X1)
| ( ( k8_filter_0(X0,X1) != X2
| sP12(X1,X0,X2) )
& ( ~ sP12(X1,X0,X2)
| X2 = k8_filter_0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f8273]) ).
fof(f8740,plain,
! [X0,X1,X2] :
( ~ sP13(X0,X1,X2)
| ( ( k8_filter_0(X1,X2) != X0
| sP12(X2,X1,X0) )
& ( ~ sP12(X2,X1,X0)
| k8_filter_0(X1,X2) = X0 ) ) ),
inference(rectify,[],[f8739]) ).
fof(f8746,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,[],[f7607]) ).
fof(f8747,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(sK327(X0,X1,X2,X3,X4),X0)
& r2_hidden(sK327(X0,X1,X2,X3,X4),X2)
& ~ r2_hidden(k8_funct_2(X0,X1,X4,sK327(X0,X1,X2,X3,X4)),X3) )
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK327]),skolemize(X5,sK327(X0,X1,X2,X3,X4))],[f7615]) ).
fof(f8748,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(sK328(X0,X2,X3,X4),X0)
& k1_funct_1(X3,sK328(X0,X2,X3,X4)) = X4
& r2_hidden(sK328(X0,X2,X3,X4),X2) )
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK328]),skolemize(X5,sK328(X0,X2,X3,X4))],[f7625]) ).
fof(f8749,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,sK329(X0,X2,X3,X4)) = X4
& r2_hidden(sK329(X0,X2,X3,X4),X2)
& r2_hidden(sK329(X0,X2,X3,X4),X0) )
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK329]),skolemize(X5,sK329(X0,X2,X3,X4))],[f7627]) ).
fof(f8750,plain,
l1_cat_1(sK330),
inference(skolemize,[status(esa),new_symbols(skolem,[sK330]),skolemize(X0,sK330)],[f4447]) ).
fof(f8751,plain,
( v2_cat_1(sK331)
& l1_cat_1(sK331) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK331]),skolemize(X0,sK331)],[f4283]) ).
fof(f8752,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(sK332(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK332]),skolemize(X2,sK332(X0,X1))],[f7638]) ).
fof(f8753,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2,X3] :
( ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ? [X6] :
( m1_subset_1(X6,k5_finsub_1(X1))
& ? [X7] :
( m1_subset_1(X7,k5_finsub_1(X1))
& k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k5_setwiseo(X1,X6,X7)) != k5_setwiseo(X2,k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X6),k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X7)) ) )
| k1_setwiseo(X2) != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1))
| ! [X5] :
( ~ m1_subset_1(X5,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X5,X3)) = k10_setwiseo(X0,X2,X5,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ) ) ) ),
inference(rectify,[],[f7645]) ).
fof(f8754,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2,X3] :
( ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ( m1_subset_1(sK333(X1,X2,X4),k5_finsub_1(X1))
& m1_subset_1(sK334(X1,X2,X4),k5_finsub_1(X1))
& k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k5_setwiseo(X1,sK333(X1,X2,X4),sK334(X1,X2,X4))) != k5_setwiseo(X2,k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,sK333(X1,X2,X4)),k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,sK334(X1,X2,X4))) )
| k1_setwiseo(X2) != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1))
| ! [X5] :
( ~ m1_subset_1(X5,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X5,X3)) = k10_setwiseo(X0,X2,X5,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK333,sK334]),skolemize(X6,sK333(X1,X2,X4)),skolemize(X7,sK334(X1,X2,X4))],[f8753]) ).
fof(f8755,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X0))
| ! [X4] :
( ( ~ r2_hidden(X4,k10_setwiseo(X0,X1,X3,X2))
| ? [X5] :
( r2_hidden(X4,k8_funct_2(X0,k5_finsub_1(X1),X2,X5))
& r2_hidden(X5,X3)
& m1_subset_1(X5,X0) ) )
& ( ! [X5] :
( ~ r2_hidden(X4,k8_funct_2(X0,k5_finsub_1(X1),X2,X5))
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X5,X0) )
| r2_hidden(X4,k10_setwiseo(X0,X1,X3,X2)) ) ) ) ) ),
inference(nnf_transformation,[],[f7647]) ).
fof(f8756,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X0))
| ! [X4] :
( ( ~ r2_hidden(X4,k10_setwiseo(X0,X1,X3,X2))
| ? [X6] :
( r2_hidden(X4,k8_funct_2(X0,k5_finsub_1(X1),X2,X6))
& r2_hidden(X6,X3)
& m1_subset_1(X6,X0) ) )
& ( ! [X5] :
( ~ r2_hidden(X4,k8_funct_2(X0,k5_finsub_1(X1),X2,X5))
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X5,X0) )
| r2_hidden(X4,k10_setwiseo(X0,X1,X3,X2)) ) ) ) ) ),
inference(rectify,[],[f8755]) ).
fof(f8757,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X0))
| ! [X4] :
( ( ~ r2_hidden(X4,k10_setwiseo(X0,X1,X3,X2))
| ( r2_hidden(X4,k8_funct_2(X0,k5_finsub_1(X1),X2,sK335(X0,X1,X2,X3,X4)))
& r2_hidden(sK335(X0,X1,X2,X3,X4),X3)
& m1_subset_1(sK335(X0,X1,X2,X3,X4),X0) ) )
& ( ! [X5] :
( ~ r2_hidden(X4,k8_funct_2(X0,k5_finsub_1(X1),X2,X5))
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X5,X0) )
| r2_hidden(X4,k10_setwiseo(X0,X1,X3,X2)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK335]),skolemize(X6,sK335(X0,X1,X2,X3,X4))],[f8756]) ).
fof(f8758,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2,X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X3,X1)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_1(X5)
| ? [X7] :
( m1_subset_1(X7,k5_finsub_1(X2))
& ? [X8] :
( m1_subset_1(X8,k5_finsub_1(X2))
& k8_funct_2(k5_finsub_1(X2),X1,X5,k5_setwiseo(X2,X7,X8)) != k2_binop_1(X1,X1,X1,X3,k8_funct_2(k5_finsub_1(X2),X1,X5,X7),k8_funct_2(k5_finsub_1(X2),X1,X5,X8)) ) )
| k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) != k3_binop_1(X1,X3)
| ! [X6] :
( ~ m1_subset_1(X6,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X6,X4)) = k7_setwiseo(X0,X1,X3,X6,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ) ) ) ) ) ),
inference(rectify,[],[f7649]) ).
fof(f8759,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2,X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X3,X1)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_1(X5)
| ( m1_subset_1(sK336(X1,X2,X3,X5),k5_finsub_1(X2))
& m1_subset_1(sK337(X1,X2,X3,X5),k5_finsub_1(X2))
& k8_funct_2(k5_finsub_1(X2),X1,X5,k5_setwiseo(X2,sK336(X1,X2,X3,X5),sK337(X1,X2,X3,X5))) != k2_binop_1(X1,X1,X1,X3,k8_funct_2(k5_finsub_1(X2),X1,X5,sK336(X1,X2,X3,X5)),k8_funct_2(k5_finsub_1(X2),X1,X5,sK337(X1,X2,X3,X5))) )
| k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) != k3_binop_1(X1,X3)
| ! [X6] :
( ~ m1_subset_1(X6,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X6,X4)) = k7_setwiseo(X0,X1,X3,X6,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK336,sK337]),skolemize(X7,sK336(X1,X2,X3,X5)),skolemize(X8,sK337(X1,X2,X3,X5))],[f8758]) ).
fof(f8760,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(sK338(X0,X1,X2,X3,X4,X5),X0)
& r2_hidden(sK338(X0,X1,X2,X3,X4,X5),X1)
& k8_funct_2(X0,u1_struct_0(X2),X3,sK338(X0,X1,X2,X3,X4,X5)) != k4_lattices(X2,X5,k8_funct_2(X0,u1_struct_0(X2),X4,sK338(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,[sK338]),skolemize(X6,sK338(X0,X1,X2,X3,X4,X5))],[f7663]) ).
fof(f8761,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(sK339(X0,X1,X2,X3,X4),X0)
& r2_hidden(sK339(X0,X1,X2,X3,X4),X1)
& ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,sK339(X0,X1,X2,X3,X4)),k8_funct_2(X0,u1_struct_0(X2),X4,sK339(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,[sK339]),skolemize(X5,sK339(X0,X1,X2,X3,X4))],[f7665]) ).
fof(f8762,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(sK340(X0,X1,X2,X3,X4),X0)
& r2_hidden(sK340(X0,X1,X2,X3,X4),X1)
& ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,sK340(X0,X1,X2,X3,X4)),X4) )
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),X4) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK340]),skolemize(X5,sK340(X0,X1,X2,X3,X4))],[f7667]) ).
fof(f8763,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(sK341(X0,X1,X2,X3,X4),X1)
& r2_hidden(sK341(X0,X1,X2,X3,X4),X2)
& ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,sK341(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK341(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,[sK341]),skolemize(X5,sK341(X0,X1,X2,X3,X4))],[f7675]) ).
fof(f8764,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(sK342(X0,X1,X2,X3,X4),X2)
& r2_hidden(sK342(X0,X1,X2,X3,X4),X3)
& ~ r3_lattices(X0,k8_funct_2(X2,u1_struct_0(X0),X4,sK342(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,[sK342]),skolemize(X5,sK342(X0,X1,X2,X3,X4))],[f7677]) ).
fof(f8765,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(sK343(X0,X1,X2,X3,X4),X2)
& r2_hidden(sK343(X0,X1,X2,X3,X4),X3)
& k8_funct_2(X2,u1_struct_0(X0),X4,sK343(X0,X1,X2,X3,X4)) != X1 )
| k2_lattice2(X2,X0,X3,X4) = X1
| X3 = k1_xboole_0 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK343]),skolemize(X5,sK343(X0,X1,X2,X3,X4))],[f7681]) ).
fof(f8766,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(sK344(X0,X1,X2,X3,X4),X0)
& r2_hidden(sK344(X0,X1,X2,X3,X4),X1)
& ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,sK344(X0,X1,X2,X3,X4)),k8_funct_2(X0,u1_struct_0(X2),X4,sK344(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,[sK344]),skolemize(X5,sK344(X0,X1,X2,X3,X4))],[f7689]) ).
fof(f8767,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(sK345(X0,X1,X2,X3,X4),X0)
& r2_hidden(sK345(X0,X1,X2,X3,X4),X1)
& ~ r3_lattices(X2,X4,k8_funct_2(X0,u1_struct_0(X2),X3,sK345(X0,X1,X2,X3,X4))) )
| r3_lattices(X2,X4,k3_lattice2(X0,X2,X1,X3)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK345]),skolemize(X5,sK345(X0,X1,X2,X3,X4))],[f7691]) ).
fof(f8768,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(sK346(X0,X1,X2,X3,X4),X1)
& r2_hidden(sK346(X0,X1,X2,X3,X4),X2)
& ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,sK346(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK346(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,[sK346]),skolemize(X5,sK346(X0,X1,X2,X3,X4))],[f7695]) ).
fof(f8769,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(sK347(X0,X1,X2,X3,X4),X2)
& r2_hidden(sK347(X0,X1,X2,X3,X4),X3)
& ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,sK347(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,[sK347]),skolemize(X5,sK347(X0,X1,X2,X3,X4))],[f7697]) ).
fof(f8770,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(sK348(X0,X1,X2,X3,X4),X2)
& r2_hidden(sK348(X0,X1,X2,X3,X4),X3)
& k8_funct_2(X2,u1_struct_0(X0),X4,sK348(X0,X1,X2,X3,X4)) != X1 )
| k3_lattice2(X2,X0,X3,X4) = X1
| X3 = k1_xboole_0 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK348]),skolemize(X5,sK348(X0,X1,X2,X3,X4))],[f7703]) ).
fof(f8771,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(sK349(X0,X1),k1_numbers,k5_numbers)
& r1_xreal_0(sK349(X0,X1),k3_finseq_1(X0))
& r1_xreal_0(np__1,sK349(X0,X1))
& k1_funct_1(X0,sK349(X0,X1)) != k1_funct_1(X1,sK349(X0,X1)) )
| k3_finseq_1(X0) != k3_finseq_1(X1)
| X0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK349]),skolemize(X2,sK349(X0,X1))],[f7713]) ).
fof(f8772,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(f8773,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,[],[f7719]) ).
fof(f8774,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,[],[f8773]) ).
fof(f8775,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(sK350(X0,X1))
& r2_hidden(sK350(X0,X1),X1)
& r2_hidden(sK350(X0,X1),X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK350]),skolemize(X2,sK350(X0,X1))],[f8774]) ).
fof(f8776,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,[],[f7720]) ).
fof(f8777,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,[],[f8776]) ).
fof(f8778,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,[],[f8777]) ).
fof(f8779,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(sK351(X0,X1))
& ( r2_hidden(sK351(X0,X1),X0)
| r2_hidden(sK351(X0,X1),X1) )
& ( ~ r2_hidden(sK351(X0,X1),X0)
| ~ r2_hidden(sK351(X0,X1),X1) ) )
| X0 = X1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK351]),skolemize(X2,sK351(X0,X1))],[f8778]) ).
fof(f8780,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,[],[f7722]) ).
fof(f8781,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,[],[f8780]) ).
fof(f8782,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(sK352(X0,X1))
& r2_hidden(sK352(X0,X1),X0)
& ~ r2_hidden(sK352(X0,X1),X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK352]),skolemize(X2,sK352(X0,X1))],[f8781]) ).
fof(f8783,plain,
! [X0] :
( ~ v1_membered(X0)
| ( v1_xcmplx_0(sK353(X0))
& ~ r2_hidden(sK353(X0),X0) )
| X0 = k2_numbers ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK353]),skolemize(X1,sK353(X0))],[f7724]) ).
fof(f8784,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xboole_0(X0)
| ( r2_hidden(sK354(X0),X0)
& v1_xcmplx_0(sK354(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK354]),skolemize(X1,sK354(X0))],[f7726]) ).
fof(f8785,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,[],[f7727]) ).
fof(f8786,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,[],[f8785]) ).
fof(f8787,plain,
! [X0] :
( ( ~ v1_membered(X0)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| v1_xcmplx_0(X2) ) )
& ( ( r2_hidden(sK355(X0),X0)
& ~ v1_xcmplx_0(sK355(X0)) )
| v1_membered(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK355]),skolemize(X1,sK355(X0))],[f8786]) ).
fof(f8788,plain,
( v1_xreal_0(sK356)
& v1_xcmplx_0(sK356) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK356]),skolemize(X0,sK356)],[f2679]) ).
fof(f8789,plain,
! [X0] :
( ~ v1_card_1(X0)
| ( ( ~ r2_hidden(np__1,X0)
| r1_tarski(np__2,X0) )
& ( ~ r1_tarski(np__2,X0)
| r2_hidden(np__1,X0) ) ) ),
inference(nnf_transformation,[],[f7736]) ).
fof(f8790,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ( ( ~ v1_realset1(X0)
| ~ r1_xreal_0(np__2,k4_card_1(X0)) )
& ( r1_xreal_0(np__2,k4_card_1(X0))
| v1_realset1(X0) ) ) ),
inference(nnf_transformation,[],[f7737]) ).
fof(f8791,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_xboole_0(X0)
| m2_filter_1(sK357(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK357]),skolemize(X2,sK357(X0,X1))],[f7740]) ).
fof(f8792,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,[],[f7754]) ).
fof(f8793,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,[],[f8792]) ).
fof(f8794,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(sK361(X0,X1,X2,X3),sK359(X0,X1,X2,X3))
& r2_hidden(sK360(X0,X1,X2,X3),sK358(X0,X1,X2,X3))
& r2_hidden(sK359(X0,X1,X2,X3),k8_eqrel_1(X0,X1))
& r2_hidden(sK358(X0,X1,X2,X3),k8_eqrel_1(X0,X1))
& k1_binop_1(X3,sK358(X0,X1,X2,X3),sK359(X0,X1,X2,X3)) != k6_eqrel_1(X0,X1,k1_binop_1(X2,sK360(X0,X1,X2,X3),sK361(X0,X1,X2,X3))) )
| X3 = k4_filter_1(X0,X1,X2) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK358,sK359,sK360,sK361]),skolemize(X4,sK358(X0,X1,X2,X3)),skolemize(X5,sK359(X0,X1,X2,X3)),skolemize(X6,sK360(X0,X1,X2,X3)),skolemize(X7,sK361(X0,X1,X2,X3))],[f8793]) ).
fof(f8795,plain,
l1_rlvect_1(sK362),
inference(skolemize,[status(esa),new_symbols(skolem,[sK362]),skolemize(X0,sK362)],[f4964]) ).
fof(f8796,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( k1_rlvect_1(X0) != k2_rlvect_1(X0,X1,X2)
| k5_rlvect_1(X0,X1) = X2 )
& ( k5_rlvect_1(X0,X1) != X2
| k2_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0) ) ) ) ) ),
inference(nnf_transformation,[],[f7762]) ).
fof(f8797,plain,
! [X0] :
( ( ~ sP16(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)
| sP16(X0) ) ),
inference(nnf_transformation,[],[f8278]) ).
fof(f8798,plain,
! [X0] :
( ( ~ sP16(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)
| sP16(X0) ) ),
inference(flattening,[],[f8797]) ).
fof(f8802,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ sP15(X0)
| sP16(X0) )
& ( ~ sP16(X0)
| sP15(X0) ) ) ),
inference(nnf_transformation,[],[f8279]) ).
fof(f8803,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,sK367(X0,X1,X2)) = X2
& m1_subset_1(sK367(X0,X1,X2),u1_struct_0(X0)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK367]),skolemize(X3,sK367(X0,X1,X2))],[f7774]) ).
fof(f8804,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,[],[f7780]) ).
fof(f8805,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,[],[f7784]) ).
fof(f8806,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,[],[f8805]) ).
fof(f8807,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,sK369(X0,X3))
& m1_subset_1(sK369(X0,X3),u1_struct_0(X0)) ) ) )
& ( ( m1_subset_1(sK368(X0),u1_struct_0(X0))
& ! [X2] :
( k1_rlvect_1(X0) != k2_rlvect_1(X0,sK368(X0),X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| v6_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK368,sK369]),skolemize(X1,sK368(X0)),skolemize(X4,sK369(X0,X3))],[f8806]) ).
fof(f8808,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,[],[f7786]) ).
fof(f8809,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,[],[f8808]) ).
fof(f8810,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(sK370(X0),u1_struct_0(X0))
& sK370(X0) != k2_rlvect_1(X0,sK370(X0),k1_rlvect_1(X0)) )
| v5_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK370]),skolemize(X1,sK370(X0))],[f8809]) ).
fof(f8811,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,[],[f7788]) ).
fof(f8812,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,[],[f8811]) ).
fof(f8813,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(sK371(X0),u1_struct_0(X0))
& m1_subset_1(sK372(X0),u1_struct_0(X0))
& m1_subset_1(sK373(X0),u1_struct_0(X0))
& k2_rlvect_1(X0,k2_rlvect_1(X0,sK371(X0),sK372(X0)),sK373(X0)) != k2_rlvect_1(X0,sK371(X0),k2_rlvect_1(X0,sK372(X0),sK373(X0))) )
| v4_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK371,sK372,sK373]),skolemize(X1,sK371(X0)),skolemize(X2,sK372(X0)),skolemize(X3,sK373(X0))],[f8812]) ).
fof(f8814,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,[],[f7790]) ).
fof(f8815,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,[],[f8814]) ).
fof(f8816,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(sK374(X0),u1_struct_0(X0))
& m1_subset_1(sK375(X0),u1_struct_0(X0))
& k2_rlvect_1(X0,sK374(X0),sK375(X0)) != k2_rlvect_1(X0,sK375(X0),sK374(X0)) )
| v3_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK374,sK375]),skolemize(X1,sK374(X0)),skolemize(X2,sK375(X0))],[f8815]) ).
fof(f8817,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,[],[f7811]) ).
fof(f8818,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,[],[f8817]) ).
fof(f8822,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))) )
& sP17(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))) )
| ~ sP17(X0,X1,X2)
| X2 = k3_funct_4(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f8281]) ).
fof(f8823,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))) )
& sP17(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))) )
| ~ sP17(X0,X1,X2)
| X2 = k3_funct_4(X0,X1) ) ) ) ) ),
inference(flattening,[],[f8822]) ).
fof(f8824,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))) )
& sP17(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))) )
| ~ sP17(X0,X1,X2)
| X2 = k3_funct_4(X0,X1) ) ) ) ) ),
inference(rectify,[],[f8823]) ).
fof(f8825,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))) )
& sP17(X0,X1,X2) ) )
& ( ( r2_hidden(k4_tarski(sK387(X0,X1,X2),sK388(X0,X1,X2)),k1_relat_1(X1))
& r2_hidden(k4_tarski(sK385(X0,X1,X2),sK386(X0,X1,X2)),k1_relat_1(X0))
& k1_funct_1(X2,k4_tarski(k4_tarski(sK385(X0,X1,X2),sK387(X0,X1,X2)),k4_tarski(sK386(X0,X1,X2),sK388(X0,X1,X2)))) != k4_tarski(k1_funct_1(X0,k4_tarski(sK385(X0,X1,X2),sK386(X0,X1,X2))),k1_funct_1(X1,k4_tarski(sK387(X0,X1,X2),sK388(X0,X1,X2)))) )
| ~ sP17(X0,X1,X2)
| X2 = k3_funct_4(X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK385,sK386,sK387,sK388]),skolemize(X3,sK385(X0,X1,X2)),skolemize(X4,sK386(X0,X1,X2)),skolemize(X5,sK387(X0,X1,X2)),skolemize(X6,sK388(X0,X1,X2))],[f8824]) ).
fof(f8829,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,[],[f7830]) ).
fof(f8830,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,[],[f8829]) ).
fof(f8831,plain,
! [X1,X0] :
( ~ sP19(X1,X0)
| ( ( ~ sP18(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))
| sP18(X0,X1) ) ) ),
inference(nnf_transformation,[],[f8283]) ).
fof(f8832,plain,
! [X1,X0] :
( ~ sP19(X1,X0)
| ( ( ~ sP18(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))
| sP18(X0,X1) ) ) ),
inference(flattening,[],[f8831]) ).
fof(f8833,plain,
! [X0,X1] :
( ~ sP19(X0,X1)
| ( ( ~ sP18(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))
| sP18(X1,X0) ) ) ),
inference(rectify,[],[f8832]) ).
fof(f8838,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,[],[f7836]) ).
fof(f8839,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,[],[f8838]) ).
fof(f8840,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,[],[f7838]) ).
fof(f8841,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,[],[f8840]) ).
fof(f8842,plain,
! [X1,X0] :
( ~ sP21(X1,X0)
| ( ( ~ sP20(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))
| sP20(X0,X1) ) ) ),
inference(nnf_transformation,[],[f8286]) ).
fof(f8843,plain,
! [X1,X0] :
( ~ sP21(X1,X0)
| ( ( ~ sP20(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))
| sP20(X0,X1) ) ) ),
inference(flattening,[],[f8842]) ).
fof(f8844,plain,
! [X0,X1] :
( ~ sP21(X0,X1)
| ( ( ~ sP20(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))
| sP20(X1,X0) ) ) ),
inference(rectify,[],[f8843]) ).
fof(f8847,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,[],[f7860]) ).
fof(f8848,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,[],[f8847]) ).
fof(f8849,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(sK390(X0,X1,X2),X0)
& m1_subset_1(sK391(X0,X1,X2),X0)
& m1_subset_1(sK392(X0,X1,X2),X0)
& k2_binop_1(X0,X0,X0,X2,k2_binop_1(X0,X0,X0,X1,sK390(X0,X1,X2),sK391(X0,X1,X2)),sK392(X0,X1,X2)) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK390(X0,X1,X2),sK392(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK391(X0,X1,X2),sK392(X0,X1,X2))) )
| r6_binop_1(X0,X2,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK390,sK391,sK392]),skolemize(X3,sK390(X0,X1,X2)),skolemize(X4,sK391(X0,X1,X2)),skolemize(X5,sK392(X0,X1,X2))],[f8848]) ).
fof(f8850,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,[],[f7862]) ).
fof(f8851,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,[],[f8850]) ).
fof(f8852,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(sK393(X0,X1,X2),X0)
& m1_subset_1(sK394(X0,X1,X2),X0)
& m1_subset_1(sK395(X0,X1,X2),X0)
& k2_binop_1(X0,X0,X0,X2,sK393(X0,X1,X2),k2_binop_1(X0,X0,X0,X1,sK394(X0,X1,X2),sK395(X0,X1,X2))) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK393(X0,X1,X2),sK394(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK393(X0,X1,X2),sK395(X0,X1,X2))) )
| r6_binop_1(X0,X2,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK393,sK394,sK395]),skolemize(X3,sK393(X0,X1,X2)),skolemize(X4,sK394(X0,X1,X2)),skolemize(X5,sK395(X0,X1,X2))],[f8851]) ).
fof(f8853,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ( k3_finseq_1(sK396(X0,X1)) = X0
& m2_finseq_1(sK396(X0,X1),X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK396]),skolemize(X2,sK396(X0,X1))],[f7864]) ).
fof(f8854,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,[],[f7870]) ).
fof(f8855,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,[],[f7873]) ).
fof(f8856,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,[],[f8855]) ).
fof(f8857,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,[],[f7875]) ).
fof(f8858,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,[],[f8857]) ).
fof(f8859,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(sK397(X0,X1))
& r2_hidden(sK397(X0,X1),X1)
& r2_hidden(sK397(X0,X1),X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK397]),skolemize(X2,sK397(X0,X1))],[f8858]) ).
fof(f8860,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,[],[f7876]) ).
fof(f8861,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,[],[f8860]) ).
fof(f8862,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,[],[f8861]) ).
fof(f8863,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(sK398(X0,X1))
& ( r2_hidden(sK398(X0,X1),X0)
| r2_hidden(sK398(X0,X1),X1) )
& ( ~ r2_hidden(sK398(X0,X1),X0)
| ~ r2_hidden(sK398(X0,X1),X1) ) )
| X0 = X1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK398]),skolemize(X2,sK398(X0,X1))],[f8862]) ).
fof(f8864,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,[],[f7878]) ).
fof(f8865,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,[],[f8864]) ).
fof(f8866,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(sK399(X0,X1))
& r2_hidden(sK399(X0,X1),X0)
& ~ r2_hidden(sK399(X0,X1),X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK399]),skolemize(X2,sK399(X0,X1))],[f8865]) ).
fof(f8867,plain,
! [X0] :
( ~ v5_membered(X0)
| ( v4_ordinal2(sK400(X0))
& ~ r2_hidden(sK400(X0),X0) )
| X0 = k5_numbers ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK400]),skolemize(X1,sK400(X0))],[f7880]) ).
fof(f8868,plain,
! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| ( r2_hidden(sK401(X0),X0)
& v4_ordinal2(sK401(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK401]),skolemize(X1,sK401(X0))],[f7882]) ).
fof(f8869,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,[],[f7883]) ).
fof(f8870,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,[],[f8869]) ).
fof(f8871,plain,
! [X0] :
( ( ~ v5_membered(X0)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| v4_ordinal2(X2) ) )
& ( ( r2_hidden(sK402(X0),X0)
& ~ v4_ordinal2(sK402(X0)) )
| v5_membered(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK402]),skolemize(X1,sK402(X0))],[f8870]) ).
fof(f8872,plain,
! [X0] :
( ( m2_subset_1(sK403(X0),k1_numbers,k5_numbers)
& r2_wellord2(X0,k2_finseq_1(sK403(X0))) )
| ~ v1_finset_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK403]),skolemize(X1,sK403(X0))],[f7893]) ).
fof(f8876,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
| ( sP22(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))) ) )
& ( ~ sP22(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,[],[f8289]) ).
fof(f8877,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
| ( sP22(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))) ) )
& ( ~ sP22(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,[],[f8876]) ).
fof(f8878,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
| ( sP22(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))) ) )
& ( ~ sP22(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,[],[f8877]) ).
fof(f8879,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
| ( sP22(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))) ) )
& ( ~ sP22(X0,X2,X1)
| ( m2_subset_1(sK405(X0,X2),k1_numbers,k5_numbers)
& r2_hidden(sK405(X0,X2),k4_finseq_1(X0))
& k1_funct_1(X0,sK405(X0,X2)) != k1_funct_1(X2,sK405(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,[sK405]),skolemize(X3,sK405(X0,X2))],[f8878]) ).
fof(f8880,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finseq_1(sK406(X0))
& v1_funct_1(sK406(X0))
& v1_relat_1(sK406(X0))
& r1_tarski(X0,sK406(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,[sK406]),skolemize(X2,sK406(X0))],[f7903]) ).
fof(f8881,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,[],[f7905]) ).
fof(f8882,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,[],[f7906]) ).
fof(f8883,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,[],[f8882]) ).
fof(f8884,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( ( ~ v1_finseq_1(X0)
| ( k1_relat_1(X0) = k2_finseq_1(sK407(X0))
& m2_subset_1(sK407(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,[sK407]),skolemize(X2,sK407(X0))],[f8883]) ).
fof(f8885,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v1_int_1(X1)
| ( m2_subset_1(sK408(X0,X1),k1_numbers,k5_numbers)
& r1_xreal_0(np__1,sK408(X0,X1))
& k6_xcmplx_0(X1,X0) = sK408(X0,X1) )
| r1_xreal_0(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK408]),skolemize(X2,sK408(X0,X1))],[f7918]) ).
fof(f8886,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,[],[f7943]) ).
fof(f8887,plain,
( ~ v3_xreal_0(sK409)
& ~ v2_xreal_0(sK409)
& v1_xreal_0(sK409)
& v1_xcmplx_0(sK409)
& v1_xboole_0(sK409) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK409]),skolemize(X0,sK409)],[f2694]) ).
fof(f8888,plain,
( v3_xreal_0(sK410)
& ~ v2_xreal_0(sK410)
& v1_xreal_0(sK410)
& v1_xcmplx_0(sK410)
& ~ v1_xboole_0(sK410) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK410]),skolemize(X0,sK410)],[f2693]) ).
fof(f8889,plain,
( ~ v3_xreal_0(sK411)
& v2_xreal_0(sK411)
& v1_xreal_0(sK411)
& v1_xcmplx_0(sK411)
& ~ v1_xboole_0(sK411) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK411]),skolemize(X0,sK411)],[f2692]) ).
fof(f8890,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,[],[f7965]) ).
fof(f8891,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(f8892,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,[],[f8891]) ).
fof(f8893,plain,
! [X0] :
( ( ~ v1_finset_1(X0)
| ( k2_relat_1(sK412(X0)) = X0
& v1_finseq_1(sK412(X0))
& v1_funct_1(sK412(X0))
& v1_relat_1(sK412(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,[sK412]),skolemize(X2,sK412(X0))],[f8892]) ).
fof(f8895,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,[],[f7974]) ).
fof(f8896,plain,
( v1_finseq_1(sK413)
& v1_finset_1(sK413)
& v1_funct_1(sK413)
& v1_relat_1(sK413)
& ~ v1_xboole_0(sK413) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK413]),skolemize(X0,sK413)],[f3245]) ).
fof(f8897,plain,
! [X0] :
( v1_finseq_1(sK414(X0))
& v1_finset_1(sK414(X0))
& v1_funct_1(sK414(X0))
& v1_relat_1(sK414(X0))
& m1_relset_1(sK414(X0),k5_numbers,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK414]),skolemize(X1,sK414(X0))],[f3229]) ).
fof(f8898,plain,
( v1_finseq_1(sK415)
& v1_funct_1(sK415)
& v1_relat_1(sK415) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK415]),skolemize(X0,sK415)],[f3225]) ).
fof(f8899,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,[],[f7995]) ).
fof(f8900,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,[],[f8899]) ).
fof(f8901,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,[],[f8900]) ).
fof(f8902,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(sK416(X1,X2),k1_relat_1(X1))
& k1_funct_1(X1,sK416(X1,X2)) != k1_funct_1(X2,sK416(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,[sK416]),skolemize(X3,sK416(X1,X2))],[f8901]) ).
fof(f8903,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,[],[f8030]) ).
fof(f8904,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,[],[f8037]) ).
fof(f8905,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,[],[f8904]) ).
fof(f8906,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,[],[f8038]) ).
fof(f8907,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,[],[f8906]) ).
fof(f8908,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,[],[f8907]) ).
fof(f8909,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(sK417(X0,X1,X2),sK418(X0,X1,X2)),X2)
| ( r2_hidden(k4_tarski(sK417(X0,X1,X2),sK418(X0,X1,X2)),X0)
& r2_hidden(sK417(X0,X1,X2),X1) ) )
& ( ~ r2_hidden(k4_tarski(sK417(X0,X1,X2),sK418(X0,X1,X2)),X2)
| ~ r2_hidden(k4_tarski(sK417(X0,X1,X2),sK418(X0,X1,X2)),X0)
| ~ r2_hidden(sK417(X0,X1,X2),X1) ) )
| X2 = k7_relat_1(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK417,sK418]),skolemize(X3,sK417(X0,X1,X2)),skolemize(X4,sK418(X0,X1,X2))],[f8908]) ).
fof(f8910,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,[],[f8050]) ).
fof(f8911,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,[],[f8910]) ).
fof(f8912,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( k1_xboole_0 = k10_relat_1(X1,k1_tarski(sK419(X0,X1)))
& r2_hidden(sK419(X0,X1),X0) )
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK419]),skolemize(X2,sK419(X0,X1))],[f8073]) ).
fof(f8913,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,[],[f8074]) ).
fof(f8914,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,[],[f8080]) ).
fof(f8915,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,[],[f8914]) ).
fof(f8916,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,[],[f8915]) ).
fof(f8917,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(sK420(X0,X1,X2),X2)
| ( r2_hidden(k1_funct_1(X0,sK420(X0,X1,X2)),X1)
& r2_hidden(sK420(X0,X1,X2),k1_relat_1(X0)) ) )
& ( ~ r2_hidden(sK420(X0,X1,X2),X2)
| ~ r2_hidden(k1_funct_1(X0,sK420(X0,X1,X2)),X1)
| ~ r2_hidden(sK420(X0,X1,X2),k1_relat_1(X0)) ) )
| X2 = k10_relat_1(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK420]),skolemize(X3,sK420(X0,X1,X2))],[f8916]) ).
fof(f8918,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,[],[f8092]) ).
fof(f8919,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,[],[f8098]) ).
fof(f8920,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,[],[f8919]) ).
fof(f8921,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X0,k10_relat_1(X2,X1))
| ( r2_hidden(sK421(X0,X1,X2),X1)
& r2_hidden(k4_tarski(X0,sK421(X0,X1,X2)),X2)
& r2_hidden(sK421(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,[sK421]),skolemize(X4,sK421(X0,X1,X2))],[f8920]) ).
fof(f8922,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,[],[f8099]) ).
fof(f8923,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,[],[f8922]) ).
fof(f8924,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k10_relat_1(X0,X1) != X2
| ! [X6] :
( ( ~ r2_hidden(X6,X2)
| ( r2_hidden(sK424(X0,X1,X6),X1)
& r2_hidden(k4_tarski(X6,sK424(X0,X1,X6)),X0) ) )
& ( ! [X7] :
( ~ r2_hidden(X7,X1)
| ~ r2_hidden(k4_tarski(X6,X7),X0) )
| r2_hidden(X6,X2) ) ) )
& ( ( ( r2_hidden(sK422(X0,X1,X2),X2)
| ( r2_hidden(sK423(X0,X1,X2),X1)
& r2_hidden(k4_tarski(sK422(X0,X1,X2),sK423(X0,X1,X2)),X0) ) )
& ( ~ r2_hidden(sK422(X0,X1,X2),X2)
| ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(sK422(X0,X1,X2),X4),X0) ) ) )
| X2 = k10_relat_1(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK422,sK423,sK424]),skolemize(X3,sK422(X0,X1,X2)),skolemize(X5,sK423(X0,X1,X2)),skolemize(X8,sK424(X0,X1,X6))],[f8923]) ).
fof(f8925,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,[],[f8119]) ).
fof(f8926,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,[],[f8925]) ).
fof(f8927,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,sK427(X0,X1,X6)) = X6
& r2_hidden(sK427(X0,X1,X6),X1)
& r2_hidden(sK427(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(sK425(X0,X1,X2),X2)
| ( sK425(X0,X1,X2) = k1_funct_1(X0,sK426(X0,X1,X2))
& r2_hidden(sK426(X0,X1,X2),X1)
& r2_hidden(sK426(X0,X1,X2),k1_relat_1(X0)) ) )
& ( ~ r2_hidden(sK425(X0,X1,X2),X2)
| ! [X4] :
( k1_funct_1(X0,X4) != sK425(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,[sK425,sK426,sK427]),skolemize(X3,sK425(X0,X1,X2)),skolemize(X5,sK426(X0,X1,X2)),skolemize(X8,sK427(X0,X1,X6))],[f8926]) ).
fof(f8928,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,[],[f8131]) ).
fof(f8929,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,[],[f8137]) ).
fof(f8930,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,[],[f8929]) ).
fof(f8931,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X0,k9_relat_1(X2,X1))
| ( r2_hidden(sK428(X0,X1,X2),X1)
& r2_hidden(k4_tarski(sK428(X0,X1,X2),X0),X2)
& r2_hidden(sK428(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,[sK428]),skolemize(X4,sK428(X0,X1,X2))],[f8930]) ).
fof(f8932,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,[],[f8138]) ).
fof(f8933,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,[],[f8932]) ).
fof(f8934,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k9_relat_1(X0,X1) != X2
| ! [X6] :
( ( ~ r2_hidden(X6,X2)
| ( r2_hidden(sK431(X0,X1,X6),X1)
& r2_hidden(k4_tarski(sK431(X0,X1,X6),X6),X0) ) )
& ( ! [X7] :
( ~ r2_hidden(X7,X1)
| ~ r2_hidden(k4_tarski(X7,X6),X0) )
| r2_hidden(X6,X2) ) ) )
& ( ( ( r2_hidden(sK429(X0,X1,X2),X2)
| ( r2_hidden(sK430(X0,X1,X2),X1)
& r2_hidden(k4_tarski(sK430(X0,X1,X2),sK429(X0,X1,X2)),X0) ) )
& ( ~ r2_hidden(sK429(X0,X1,X2),X2)
| ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,sK429(X0,X1,X2)),X0) ) ) )
| X2 = k9_relat_1(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK429,sK430,sK431]),skolemize(X3,sK429(X0,X1,X2)),skolemize(X5,sK430(X0,X1,X2)),skolemize(X8,sK431(X0,X1,X6))],[f8933]) ).
fof(f8935,plain,
! [X0] :
( ( ! [X2,X3,X4,X5,X6] :
( ~ r2_hidden(X6,sK432(X0))
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(sK432(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK432]),skolemize(X1,sK432(X0))],[f8140]) ).
fof(f8936,plain,
! [X0] :
( ( ! [X2,X3,X4,X5] :
( ~ r2_hidden(X5,sK433(X0))
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(sK433(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK433]),skolemize(X1,sK433(X0))],[f8142]) ).
fof(f8937,plain,
! [X0] :
( ( ! [X2,X3,X4] :
( ~ r2_hidden(X4,sK434(X0))
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(sK434(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK434]),skolemize(X1,sK434(X0))],[f8144]) ).
fof(f8938,plain,
! [X0] :
( ( ! [X2,X3] :
( ~ r2_hidden(X3,sK435(X0))
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(sK435(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK435]),skolemize(X1,sK435(X0))],[f8146]) ).
fof(f8939,plain,
! [X0] :
( ( ! [X2] :
( ~ r2_hidden(X2,sK436(X0))
| r1_xboole_0(X2,X0) )
& r2_hidden(sK436(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK436]),skolemize(X1,sK436(X0))],[f8147]) ).
fof(f8940,plain,
! [X0] :
( ( r1_xboole_0(sK437(X0),X0)
& r2_hidden(sK437(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK437]),skolemize(X1,sK437(X0))],[f8148]) ).
fof(f8941,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(f8942,plain,
! [X0,X1] :
( ( ~ r1_xboole_0(X0,X1)
| ! [X3] : ~ r2_hidden(X3,k3_xboole_0(X0,X1)) )
& ( r2_hidden(sK438(X0,X1),k3_xboole_0(X0,X1))
| r1_xboole_0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK438]),skolemize(X2,sK438(X0,X1))],[f8191]) ).
fof(f8943,plain,
! [X0,X1] :
( ( ~ r1_xboole_0(X0,X1)
| ! [X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
& ( ( r2_hidden(sK439(X0,X1),X1)
& r2_hidden(sK439(X0,X1),X0) )
| r1_xboole_0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK439]),skolemize(X2,sK439(X0,X1))],[f8192]) ).
fof(f8944,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(f8946,plain,
! [X0] :
( ( r2_hidden(sK441(X0),X0)
& ~ v1_membered(sK441(X0)) )
| v1_membered(k3_tarski(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK441]),skolemize(X1,sK441(X0))],[f8213]) ).
fof(f8947,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,[],[f8246]) ).
fof(f8948,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,[],[f8947]) ).
fof(f8949,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(sK442(X0),u1_struct_0(X0))
& m1_subset_1(sK443(X0),u1_struct_0(X0))
& m1_subset_1(sK444(X0),u1_struct_0(X0))
& k2_lattices(X0,sK442(X0),k1_lattices(X0,sK443(X0),sK444(X0))) != k1_lattices(X0,k2_lattices(X0,sK442(X0),sK443(X0)),k2_lattices(X0,sK442(X0),sK444(X0))) )
| v11_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK442,sK443,sK444]),skolemize(X1,sK442(X0)),skolemize(X2,sK443(X0)),skolemize(X3,sK444(X0))],[f8948]) ).
fof(f8950,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,[],[f8248]) ).
fof(f8951,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,[],[f8950]) ).
fof(f8952,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(sK445(X0),u1_struct_0(X0))
& m1_subset_1(sK446(X0),u1_struct_0(X0))
& sK445(X0) != k2_lattices(X0,sK445(X0),k1_lattices(X0,sK445(X0),sK446(X0))) )
| v9_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK445,sK446]),skolemize(X1,sK445(X0)),skolemize(X2,sK446(X0))],[f8951]) ).
fof(f8953,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,[],[f8250]) ).
fof(f8954,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,[],[f8953]) ).
fof(f8955,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(sK447(X0),u1_struct_0(X0))
& m1_subset_1(sK448(X0),u1_struct_0(X0))
& sK448(X0) != k1_lattices(X0,k2_lattices(X0,sK447(X0),sK448(X0)),sK448(X0)) )
| v8_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK447,sK448]),skolemize(X1,sK447(X0)),skolemize(X2,sK448(X0))],[f8954]) ).
fof(f8956,plain,
l3_lattices(sK23),
inference(cnf_transformation,[],[f8290]) ).
fof(f8957,plain,
~ v3_realset2(sK23),
inference(cnf_transformation,[],[f8290]) ).
fof(f8958,plain,
v17_lattices(sK23),
inference(cnf_transformation,[],[f8290]) ).
fof(f8959,plain,
v10_lattices(sK23),
inference(cnf_transformation,[],[f8290]) ).
fof(f8960,plain,
~ v3_struct_0(sK23),
inference(cnf_transformation,[],[f8290]) ).
fof(f8961,plain,
m1_subset_1(sK24,u1_struct_0(sK23)),
inference(cnf_transformation,[],[f8290]) ).
fof(f8962,plain,
~ r1_tarski(a_2_0_lopclset(sK23,sK24),k7_lopclset(sK23)),
inference(cnf_transformation,[],[f8290]) ).
fof(f8963,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,[],[f6506]) ).
fof(f8964,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,[],[f6506]) ).
fof(f8966,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,[],[f6506]) ).
fof(f8967,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,[],[f6506]) ).
fof(f8969,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,[],[f6508]) ).
fof(f8971,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,[],[f6510]) ).
fof(f8975,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,[],[f6514]) ).
fof(f8977,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,[],[f6516]) ).
fof(f8978,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X2,X0)
| ~ r1_tarski(X0,X1)
| m2_relset_1(X3,X2,X1) ),
inference(cnf_transformation,[],[f6518]) ).
fof(f8979,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X2)
| ~ r1_tarski(X0,X1)
| m2_relset_1(X3,X1,X2) ),
inference(cnf_transformation,[],[f6520]) ).
fof(f8980,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r1_tarski(X0,X3)
| m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f6522]) ).
fof(f8981,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6523]) ).
fof(f8982,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f6525]) ).
fof(f8983,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8291]) ).
fof(f8984,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f8291]) ).
fof(f8985,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(sK25(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f8292]) ).
fof(f8986,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sK25(X1,X2),X2)
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f8292]) ).
fof(f8987,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(sK26(X0,X1,X2),X0)
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f8293]) ).
fof(f8988,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| r2_hidden(sK26(X0,X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f8293]) ).
fof(f8989,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sK26(X0,X1,X2),X2)
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f8293]) ).
fof(f8990,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,[],[f6530]) ).
fof(f8991,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,[],[f6530]) ).
fof(f8992,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,[],[f6532]) ).
fof(f8993,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,[],[f6532]) ).
fof(f8994,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6533]) ).
fof(f8995,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X0,X1))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6533]) ).
fof(f8996,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,[],[f6535]) ).
fof(f8997,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k2_zfmisc_1(X2,X0),k2_zfmisc_1(X2,X1)) ),
inference(cnf_transformation,[],[f6536]) ).
fof(f8998,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f6536]) ).
fof(f8999,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,[],[f6537]) ).
fof(f9000,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,[],[f6537]) ).
fof(f9002,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f6539]) ).
fof(f9003,plain,
! [X3,X0,X1] :
( k1_zfmisc_1(X0) != X1
| ~ r2_hidden(X3,X1)
| r1_tarski(X3,X0) ),
inference(cnf_transformation,[],[f8296]) ).
fof(f9004,plain,
! [X3,X0,X1] :
( k1_zfmisc_1(X0) != X1
| ~ r1_tarski(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f8296]) ).
fof(f9005,plain,
! [X0,X1] :
( r2_hidden(sK27(X0,X1),X1)
| r1_tarski(sK27(X0,X1),X0)
| k1_zfmisc_1(X0) = X1 ),
inference(cnf_transformation,[],[f8296]) ).
fof(f9006,plain,
! [X0,X1] :
( ~ r2_hidden(sK27(X0,X1),X1)
| ~ r1_tarski(sK27(X0,X1),X0)
| k1_zfmisc_1(X0) = X1 ),
inference(cnf_transformation,[],[f8296]) ).
fof(f9007,plain,
! [X0] :
( ~ r1_tarski(X0,k1_xboole_0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6540]) ).
fof(f9008,plain,
! [X0] : r1_tarski(k1_xboole_0,X0),
inference(cnf_transformation,[],[f71]) ).
fof(f9009,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f6542]) ).
fof(f9012,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8298]) ).
fof(f9013,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f6437]) ).
fof(f9014,plain,
! [X3,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f8301]) ).
fof(f9015,plain,
! [X0,X1] :
( r2_hidden(sK28(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8301]) ).
fof(f9016,plain,
! [X0,X1] :
( ~ r2_hidden(sK28(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8301]) ).
fof(f9017,plain,
! [X0] : m1_subset_1(sK29(X0),X0),
inference(cnf_transformation,[],[f8302]) ).
fof(f9018,plain,
l3_lattices(sK30),
inference(cnf_transformation,[],[f8303]) ).
fof(f9019,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v3_realset2(X0)
| u1_struct_0(X0) = k1_tarski(sK31(X0)) ),
inference(cnf_transformation,[],[f8306]) ).
fof(f9021,plain,
v3_realset2(sK32),
inference(cnf_transformation,[],[f8307]) ).
fof(f9022,plain,
v4_group_1(sK32),
inference(cnf_transformation,[],[f8307]) ).
fof(f9023,plain,
v3_group_1(sK32),
inference(cnf_transformation,[],[f8307]) ).
fof(f9024,plain,
v2_group_1(sK32),
inference(cnf_transformation,[],[f8307]) ).
fof(f9025,plain,
~ v3_struct_0(sK32),
inference(cnf_transformation,[],[f8307]) ).
fof(f9026,plain,
l1_group_1(sK32),
inference(cnf_transformation,[],[f8307]) ).
fof(f9027,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,[],[f8310]) ).
fof(f9028,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(sK33(X0),u1_struct_0(X0))
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f8310]) ).
fof(f9029,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(sK34(X0),u1_struct_0(X0))
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f8310]) ).
fof(f9030,plain,
! [X0] :
( ~ l1_struct_0(X0)
| sK33(X0) != sK34(X0)
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f8310]) ).
fof(f9031,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ~ v3_realset2(X0)
| v1_realset1(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8311]) ).
fof(f9032,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ~ v1_realset1(u1_struct_0(X0))
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f8311]) ).
fof(f9033,plain,
v3_realset2(sK35),
inference(cnf_transformation,[],[f8312]) ).
fof(f9034,plain,
l1_struct_0(sK35),
inference(cnf_transformation,[],[f8312]) ).
fof(f9035,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2))
| r2_hidden(X2,sK36(X0,X1,X2)) ),
inference(cnf_transformation,[],[f8315]) ).
fof(f9036,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2))
| v1_filter_0(sK36(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f8315]) ).
fof(f9037,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2))
| sK36(X0,X1,X2) = X0 ),
inference(cnf_transformation,[],[f8315]) ).
fof(f9038,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2))
| m1_filter_0(sK36(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f8315]) ).
fof(f9039,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X2,X3)
| ~ v1_filter_0(X3,X1)
| X0 != X3
| ~ m1_filter_0(X3,X1)
| r2_hidden(X0,a_2_0_lopclset(X1,X2)) ),
inference(cnf_transformation,[],[f8315]) ).
fof(f9040,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X0,k7_lopclset(X1))
| v1_filter_0(sK37(X0,X1),X1) ),
inference(cnf_transformation,[],[f8318]) ).
fof(f9041,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X0,k7_lopclset(X1))
| sK37(X0,X1) = X0 ),
inference(cnf_transformation,[],[f8318]) ).
fof(f9042,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X0,k7_lopclset(X1))
| m1_filter_0(sK37(X0,X1),X1) ),
inference(cnf_transformation,[],[f8318]) ).
fof(f9043,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_filter_0(X2,X1)
| X0 != X2
| ~ m1_filter_0(X2,X1)
| r2_hidden(X0,k7_lopclset(X1)) ),
inference(cnf_transformation,[],[f8318]) ).
fof(f9044,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k7_lopclset(X0)) ),
inference(cnf_transformation,[],[f6553]) ).
fof(f9045,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(cnf_transformation,[],[f6555]) ).
fof(f9046,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,[],[f6557]) ).
fof(f9047,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,[],[f6557]) ).
fof(f9049,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,[],[f6559]) ).
fof(f9050,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f6561]) ).
fof(f9051,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,[],[f6563]) ).
fof(f9052,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f6565]) ).
fof(f9055,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,[],[f6567]) ).
fof(f9057,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,[],[f6569]) ).
fof(f9058,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,[],[f6571]) ).
fof(f9059,plain,
! [X0,X1] : m2_relset_1(k1_xboole_0,X0,X1),
inference(cnf_transformation,[],[f1283]) ).
fof(f9060,plain,
! [X0] :
( v1_funct_1(sK38(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8319]) ).
fof(f9061,plain,
! [X0] :
( v1_relat_1(sK38(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8319]) ).
fof(f9062,plain,
! [X0] :
( v1_funct_1(sK39(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8319]) ).
fof(f9063,plain,
! [X0] :
( v1_relat_1(sK39(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8319]) ).
fof(f9064,plain,
! [X0] :
( k1_relat_1(sK39(X0)) = X0
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8319]) ).
fof(f9065,plain,
! [X0] :
( k1_relat_1(sK38(X0)) = X0
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8319]) ).
fof(f9066,plain,
! [X0] :
( sK38(X0) != sK39(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8319]) ).
fof(f9069,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(sK40(X0,X1),X0)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f8320]) ).
fof(f9070,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r2_hidden(sK40(X0,X1),X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f8320]) ).
fof(f9071,plain,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f486]) ).
fof(f9072,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,[],[f6577]) ).
fof(f9073,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,[],[f6577]) ).
fof(f9075,plain,
! [X0,X1] :
( k1_xboole_0 != k2_zfmisc_1(X0,X1)
| k1_xboole_0 = X1
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8322]) ).
fof(f9076,plain,
! [X0,X1] :
( k1_xboole_0 != X1
| k1_xboole_0 = k2_zfmisc_1(X0,X1) ),
inference(cnf_transformation,[],[f8322]) ).
fof(f9077,plain,
! [X0,X1] :
( k1_xboole_0 != X0
| k1_xboole_0 = k2_zfmisc_1(X0,X1) ),
inference(cnf_transformation,[],[f8322]) ).
fof(f9079,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8323]) ).
fof(f9081,plain,
! [X2,X0] :
( k1_xboole_0 != X0
| ~ r2_hidden(X2,X0) ),
inference(cnf_transformation,[],[f8326]) ).
fof(f9082,plain,
! [X0] :
( r2_hidden(sK41(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8326]) ).
fof(f9083,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f24]) ).
fof(f9084,plain,
! [X0,X1] : m2_relset_1(sK42(X0,X1),X0,X1),
inference(cnf_transformation,[],[f8327]) ).
fof(f9085,plain,
v1_funct_1(sK43),
inference(cnf_transformation,[],[f8328]) ).
fof(f9086,plain,
v1_xboole_0(sK43),
inference(cnf_transformation,[],[f8328]) ).
fof(f9087,plain,
v1_relat_1(sK43),
inference(cnf_transformation,[],[f8328]) ).
fof(f9088,plain,
v1_funct_1(sK44),
inference(cnf_transformation,[],[f8329]) ).
fof(f9089,plain,
v1_relat_1(sK44),
inference(cnf_transformation,[],[f8329]) ).
fof(f9090,plain,
v1_relat_1(sK45),
inference(cnf_transformation,[],[f8330]) ).
fof(f9091,plain,
~ v1_xboole_0(sK45),
inference(cnf_transformation,[],[f8330]) ).
fof(f9092,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f6581]) ).
fof(f9093,plain,
v1_relat_1(sK46),
inference(cnf_transformation,[],[f8331]) ).
fof(f9094,plain,
v1_xboole_0(sK46),
inference(cnf_transformation,[],[f8331]) ).
fof(f9095,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,[],[f6582]) ).
fof(f9096,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,[],[f6583]) ).
fof(f9097,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6584]) ).
fof(f9098,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6585]) ).
fof(f9100,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f6588]) ).
fof(f9101,plain,
! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f8332]) ).
fof(f9102,plain,
! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| m1_subset_1(X1,X0) ),
inference(cnf_transformation,[],[f8332]) ).
fof(f9103,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f8332]) ).
fof(f9105,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6590]) ).
fof(f9106,plain,
! [X3,X0,X1] :
( ~ r2_hidden(X3,sK47(X1))
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f8333]) ).
fof(f9107,plain,
! [X0,X1] :
( r2_hidden(sK47(X1),X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f8333]) ).
fof(f9108,plain,
! [X0,X1] :
( r2_hidden(sK48(X0,X1),X0)
| r2_hidden(sK48(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8335]) ).
fof(f9109,plain,
! [X0,X1] :
( ~ r2_hidden(sK48(X0,X1),X0)
| ~ r2_hidden(sK48(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8335]) ).
fof(f9110,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f6593]) ).
fof(f9111,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,[],[f6594]) ).
fof(f9112,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f6595]) ).
fof(f9113,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6596]) ).
fof(f9114,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f6598]) ).
fof(f9115,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(sK49(X0,X1,X2),k1_zfmisc_1(X0))
| X1 = X2 ),
inference(cnf_transformation,[],[f8338]) ).
fof(f9116,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(sK49(X0,X1,X2),X1)
| r2_hidden(sK49(X0,X1,X2),X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f8338]) ).
fof(f9117,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(sK49(X0,X1,X2),X1)
| ~ r2_hidden(sK49(X0,X1,X2),X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f8338]) ).
fof(f9118,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(sK50(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f8339]) ).
fof(f9119,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK50(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8339]) ).
fof(f9120,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,[],[f8342]) ).
fof(f9121,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,[],[f8342]) ).
fof(f9122,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,[],[f8342]) ).
fof(f9123,plain,
! [X0] : v1_xboole_0(sK52(X0)),
inference(cnf_transformation,[],[f8343]) ).
fof(f9124,plain,
! [X0] : m1_subset_1(sK52(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f8343]) ).
fof(f9125,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK53(X0)) ),
inference(cnf_transformation,[],[f8344]) ).
fof(f9126,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK53(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f8344]) ).
fof(f9127,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f471]) ).
fof(f9128,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f6606]) ).
fof(f9129,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f6607]) ).
fof(f9130,plain,
~ v1_xboole_0(sK54),
inference(cnf_transformation,[],[f8345]) ).
fof(f9131,plain,
v1_xboole_0(sK55),
inference(cnf_transformation,[],[f8346]) ).
fof(f9132,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(sK56(X0,X1),X3),X1) ),
inference(cnf_transformation,[],[f8347]) ).
fof(f9133,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m2_relset_1(sK56(X0,X1),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f8347]) ).
fof(f9134,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_funct_2(sK56(X0,X1),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f8347]) ).
fof(f9135,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_funct_1(sK56(X0,X1)) ),
inference(cnf_transformation,[],[f8347]) ).
fof(f9136,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(sK57(X0,X1),sK57(X0,X1)))
| r2_hidden(k1_funct_1(X1,X3),sK57(X0,X1)) ),
inference(cnf_transformation,[],[f8348]) ).
fof(f9137,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(sK57(X0,X1),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f8348]) ).
fof(f9138,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,[],[f6612]) ).
fof(f9139,plain,
! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)),
inference(cnf_transformation,[],[f703]) ).
fof(f9140,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f6614]) ).
fof(f9141,plain,
! [X0,X1] :
( k2_zfmisc_1(X0,X0) != k2_zfmisc_1(X1,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f6615]) ).
fof(f9142,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,[],[f6616]) ).
fof(f9144,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_xboole_0(X0,k1_tarski(X1)),X2)
| r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f8350]) ).
fof(f9145,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,[],[f8350]) ).
fof(f9146,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k2_xboole_0(X1,k1_tarski(X2)))
| X0 = X2
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f8352]) ).
fof(f9147,plain,
! [X2,X0,X1] :
( X0 != X2
| r2_hidden(X0,k2_xboole_0(X1,k1_tarski(X2))) ),
inference(cnf_transformation,[],[f8352]) ).
fof(f9149,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,[],[f6617]) ).
fof(f9150,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,[],[f6619]) ).
fof(f9151,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,[],[f6621]) ).
fof(f9152,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,[],[f6623]) ).
fof(f9153,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,[],[f6625]) ).
fof(f9154,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,[],[f6627]) ).
fof(f9156,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,[],[f6629]) ).
fof(f9157,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,[],[f6631]) ).
fof(f9158,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,[],[f6633]) ).
fof(f9159,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| k1_tarski(X1) = k2_relat_1(sK58(X0,X1)) ),
inference(cnf_transformation,[],[f8353]) ).
fof(f9160,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| k1_relat_1(sK58(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f8353]) ).
fof(f9161,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| v1_funct_1(sK58(X0,X1)) ),
inference(cnf_transformation,[],[f8353]) ).
fof(f9162,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| v1_relat_1(sK58(X0,X1)) ),
inference(cnf_transformation,[],[f8353]) ).
fof(f9163,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,[],[f6636]) ).
fof(f9167,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(k1_tarski(X0),k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f6639]) ).
fof(f9168,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,[],[f6641]) ).
fof(f9170,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| k1_xboole_0 != k2_zfmisc_1(X0,k1_tarski(X1)) ),
inference(cnf_transformation,[],[f6642]) ).
fof(f9171,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| k1_xboole_0 != k2_zfmisc_1(k1_tarski(X1),X0) ),
inference(cnf_transformation,[],[f6642]) ).
fof(f9172,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,k1_tarski(X3)))
| X1 = X3 ),
inference(cnf_transformation,[],[f8355]) ).
fof(f9174,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,[],[f8355]) ).
fof(f9176,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(k1_tarski(X2),X3))
| X0 = X2 ),
inference(cnf_transformation,[],[f8357]) ).
fof(f9177,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,[],[f8357]) ).
fof(f9178,plain,
! [X0] : r1_tarski(k1_tarski(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f405]) ).
fof(f9180,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k2_xboole_0(k1_tarski(X0),X1) = X1 ),
inference(cnf_transformation,[],[f6643]) ).
fof(f9182,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,[],[f6645]) ).
fof(f9191,plain,
! [X0,X1] :
( sK59(X0,X1) != X1
| k1_xboole_0 = X0
| k1_tarski(X1) = X0 ),
inference(cnf_transformation,[],[f8358]) ).
fof(f9192,plain,
! [X0,X1] :
( r2_hidden(sK59(X0,X1),X0)
| k1_xboole_0 = X0
| k1_tarski(X1) = X0 ),
inference(cnf_transformation,[],[f8358]) ).
fof(f9193,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k1_tarski(X1))
| k1_tarski(X1) = X0
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8360]) ).
fof(f9197,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| r1_tarski(k1_tarski(X0),X1) ),
inference(cnf_transformation,[],[f8361]) ).
fof(f9201,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,[],[f8363]) ).
fof(f9205,plain,
k1_zfmisc_1(k1_xboole_0) = k1_tarski(k1_xboole_0),
inference(cnf_transformation,[],[f326]) ).
fof(f9206,plain,
! [X3,X0,X1] :
( k1_tarski(X0) != X1
| ~ r2_hidden(X3,X1)
| X0 = X3 ),
inference(cnf_transformation,[],[f8366]) ).
fof(f9208,plain,
! [X0,X1] :
( r2_hidden(sK60(X0,X1),X1)
| sK60(X0,X1) = X0
| k1_tarski(X0) = X1 ),
inference(cnf_transformation,[],[f8366]) ).
fof(f9209,plain,
! [X0,X1] :
( ~ r2_hidden(sK60(X0,X1),X1)
| sK60(X0,X1) != X0
| k1_tarski(X0) = X1 ),
inference(cnf_transformation,[],[f8366]) ).
fof(f9210,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f6651]) ).
fof(f9211,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f6652]) ).
fof(f9212,plain,
l1_struct_0(sK61),
inference(cnf_transformation,[],[f8367]) ).
fof(f9213,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ~ v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8368]) ).
fof(f9215,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK62(X0)) ),
inference(cnf_transformation,[],[f8369]) ).
fof(f9216,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| m1_subset_1(sK62(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f8369]) ).
fof(f9217,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f6657]) ).
fof(f9218,plain,
~ v3_struct_0(sK63),
inference(cnf_transformation,[],[f8370]) ).
fof(f9219,plain,
l1_struct_0(sK63),
inference(cnf_transformation,[],[f8370]) ).
fof(f9220,plain,
l1_group_1(sK64),
inference(cnf_transformation,[],[f8371]) ).
fof(f9221,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,[],[f6659]) ).
fof(f9222,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,[],[f6661]) ).
fof(f9223,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,[],[f6663]) ).
fof(f9224,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,[],[f8374]) ).
fof(f9225,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,[],[f8374]) ).
fof(f9226,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(sK65(X0,X1),u1_struct_0(X0))
| k2_group_1(X0) = X1 ),
inference(cnf_transformation,[],[f8374]) ).
fof(f9227,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK65(X0,X1) != k1_group_1(X0,X1,sK65(X0,X1))
| sK65(X0,X1) != k1_group_1(X0,sK65(X0,X1),X1)
| k2_group_1(X0) = X1 ),
inference(cnf_transformation,[],[f8374]) ).
fof(f9228,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,sK67(X0),X4) = X4 ),
inference(cnf_transformation,[],[f8377]) ).
fof(f9229,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,sK67(X0)) = X4 ),
inference(cnf_transformation,[],[f8377]) ).
fof(f9230,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| m1_subset_1(sK67(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8377]) ).
fof(f9231,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK66(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v2_group_1(X0) ),
inference(cnf_transformation,[],[f8377]) ).
fof(f9232,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sK66(X0,X1) != k1_group_1(X0,X1,sK66(X0,X1))
| sK66(X0,X1) != k1_group_1(X0,sK66(X0,X1),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v2_group_1(X0) ),
inference(cnf_transformation,[],[f8377]) ).
fof(f9233,plain,
v7_group_1(sK68),
inference(cnf_transformation,[],[f8378]) ).
fof(f9234,plain,
v4_group_1(sK68),
inference(cnf_transformation,[],[f8378]) ).
fof(f9235,plain,
v3_group_1(sK68),
inference(cnf_transformation,[],[f8378]) ).
fof(f9236,plain,
v2_group_1(sK68),
inference(cnf_transformation,[],[f8378]) ).
fof(f9237,plain,
~ v3_struct_0(sK68),
inference(cnf_transformation,[],[f8378]) ).
fof(f9238,plain,
l1_group_1(sK68),
inference(cnf_transformation,[],[f8378]) ).
fof(f9239,plain,
v4_group_1(sK69),
inference(cnf_transformation,[],[f8379]) ).
fof(f9240,plain,
v3_group_1(sK69),
inference(cnf_transformation,[],[f8379]) ).
fof(f9241,plain,
v2_group_1(sK69),
inference(cnf_transformation,[],[f8379]) ).
fof(f9242,plain,
~ v3_struct_0(sK69),
inference(cnf_transformation,[],[f8379]) ).
fof(f9243,plain,
l1_group_1(sK69),
inference(cnf_transformation,[],[f8379]) ).
fof(f9244,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v2_group_1(X0) ),
inference(cnf_transformation,[],[f6669]) ).
fof(f9246,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_realset1(X0)
| k1_tarski(X1) = k5_realset1(X0,X1) ),
inference(cnf_transformation,[],[f6671]) ).
fof(f9248,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(sK70(X0,X1),X0)
| v1_realset1(X1) ),
inference(cnf_transformation,[],[f8380]) ).
fof(f9249,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(sK71(X0,X1),X0)
| v1_realset1(X1) ),
inference(cnf_transformation,[],[f8380]) ).
fof(f9250,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| sK70(X0,X1) != sK71(X0,X1)
| v1_realset1(X1) ),
inference(cnf_transformation,[],[f8380]) ).
fof(f9251,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r2_hidden(sK71(X0,X1),X1)
| v1_realset1(X1) ),
inference(cnf_transformation,[],[f8380]) ).
fof(f9252,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r2_hidden(sK70(X0,X1),X1)
| v1_realset1(X1) ),
inference(cnf_transformation,[],[f8380]) ).
fof(f9253,plain,
! [X3,X0,X4] :
( ~ v1_realset1(X0)
| X3 = X4
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X0) ),
inference(cnf_transformation,[],[f8381]) ).
fof(f9254,plain,
! [X0] :
( sK72(X0) != sK73(X0)
| v1_realset1(X0) ),
inference(cnf_transformation,[],[f8381]) ).
fof(f9255,plain,
! [X0] :
( r2_hidden(sK73(X0),X0)
| v1_realset1(X0) ),
inference(cnf_transformation,[],[f8381]) ).
fof(f9256,plain,
! [X0] :
( r2_hidden(sK72(X0),X0)
| v1_realset1(X0) ),
inference(cnf_transformation,[],[f8381]) ).
fof(f9257,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK74(X0),X0)
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f8382]) ).
fof(f9258,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k1_tarski(sK74(X0))))
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f8382]) ).
fof(f9259,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_realset1(X0)
| m1_subset_1(sK75(X0),X0) ),
inference(cnf_transformation,[],[f8383]) ).
fof(f9260,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_realset1(X0)
| v1_xboole_0(k4_xboole_0(X0,k1_tarski(sK75(X0)))) ),
inference(cnf_transformation,[],[f8383]) ).
fof(f9261,plain,
! [X2,X0] :
( v1_xboole_0(X0)
| v1_realset1(X0)
| ~ v1_xboole_0(k4_xboole_0(X0,k1_tarski(X2))) ),
inference(cnf_transformation,[],[f8386]) ).
fof(f9262,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k1_tarski(sK76(X0))))
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f8386]) ).
fof(f9263,plain,
! [X0] :
( ~ v1_realset1(X0)
| k1_tarski(sK77(X0)) = X0
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f8390]) ).
fof(f9264,plain,
! [X0,X1] :
( k1_tarski(X1) != X0
| v1_realset1(X0) ),
inference(cnf_transformation,[],[f8390]) ).
fof(f9266,plain,
! [X0] : v1_realset1(k1_tarski(X0)),
inference(cnf_transformation,[],[f4067]) ).
fof(f9269,plain,
! [X0] :
( v1_realset1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f6681]) ).
fof(f9270,plain,
~ v1_realset1(sK78),
inference(cnf_transformation,[],[f8391]) ).
fof(f9271,plain,
~ v1_xboole_0(sK78),
inference(cnf_transformation,[],[f8391]) ).
fof(f9272,plain,
v1_realset1(sK79),
inference(cnf_transformation,[],[f8392]) ).
fof(f9273,plain,
~ v1_xboole_0(sK79),
inference(cnf_transformation,[],[f8392]) ).
fof(f9274,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(sK80(X0),X0) ),
inference(cnf_transformation,[],[f8393]) ).
fof(f9275,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,[],[f6685]) ).
fof(f9276,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,[],[f6685]) ).
fof(f9277,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(u1_struct_0(X0),X0) ),
inference(cnf_transformation,[],[f6687]) ).
fof(f9278,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| r2_hidden(sK81(X0,X1),X1) ),
inference(cnf_transformation,[],[f8394]) ).
fof(f9279,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| m1_subset_1(sK81(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8394]) ).
fof(f9280,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| m1_filter_0(sK82(X0,X1,X2),X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f8395]) ).
fof(f9282,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X1,sK82(X0,X1,X2))
| ~ r2_hidden(X2,sK82(X0,X1,X2))
| X1 = X2 ),
inference(cnf_transformation,[],[f8395]) ).
fof(f9283,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(X2,sK82(X0,X1,X2))
| r2_hidden(X1,sK82(X0,X1,X2))
| X1 = X2 ),
inference(cnf_transformation,[],[f8395]) ).
fof(f9285,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v1_filter_0(sK82(X0,X1,X2),X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f8395]) ).
fof(f9286,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(k7_lattices(X0,X2),X1) ),
inference(cnf_transformation,[],[f8396]) ).
fof(f9288,plain,
! [X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| r2_hidden(k7_lattices(X0,X3),X1)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f8400]) ).
fof(f9289,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| u1_struct_0(X0) != X1 ),
inference(cnf_transformation,[],[f8400]) ).
fof(f9290,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| m1_subset_1(sK83(X0,X1),u1_struct_0(X0))
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8400]) ).
fof(f9291,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ r2_hidden(k7_lattices(X0,sK83(X0,X1)),X1)
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8400]) ).
fof(f9292,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ r2_hidden(sK83(X0,X1),X1)
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8400]) ).
fof(f9296,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_filter_0(X1,X0)
| m1_filter_0(sK85(X0,X1),X0)
| u1_struct_0(X0) = X1 ),
inference(cnf_transformation,[],[f8402]) ).
fof(f9297,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v1_filter_0(sK85(X0,X1),X0)
| u1_struct_0(X0) = X1 ),
inference(cnf_transformation,[],[f8402]) ).
fof(f9298,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_filter_0(X1,X0)
| r1_tarski(X1,sK85(X0,X1))
| u1_struct_0(X0) = X1 ),
inference(cnf_transformation,[],[f8402]) ).
fof(f9299,plain,
! [X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X3,X0)
| ~ r1_tarski(X1,X3)
| X1 = X3
| u1_struct_0(X0) = X3 ),
inference(cnf_transformation,[],[f8406]) ).
fof(f9300,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| u1_struct_0(X0) != X1 ),
inference(cnf_transformation,[],[f8406]) ).
fof(f9301,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| m1_filter_0(sK86(X0,X1),X0)
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8406]) ).
fof(f9302,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| r1_tarski(X1,sK86(X0,X1))
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8406]) ).
fof(f9303,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| sK86(X0,X1) != X1
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8406]) ).
fof(f9304,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| u1_struct_0(X0) != sK86(X0,X1)
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8406]) ).
fof(f9305,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK87(X0,X1,X2),X0)
| k1_relat_1(X2) != X0
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8407]) ).
fof(f9306,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k1_funct_1(X2,sK87(X0,X1,X2)),X1)
| k1_relat_1(X2) != X0
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8407]) ).
fof(f9307,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK87(X0,X1,X2),X0)
| k1_relat_1(X2) != X0
| v1_funct_2(X2,X0,X1) ),
inference(cnf_transformation,[],[f8407]) ).
fof(f9308,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k1_funct_1(X2,sK87(X0,X1,X2)),X1)
| k1_relat_1(X2) != X0
| v1_funct_2(X2,X0,X1) ),
inference(cnf_transformation,[],[f8407]) ).
fof(f9312,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,[],[f6705]) ).
fof(f9315,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,[],[f6707]) ).
fof(f9319,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,[],[f6711]) ).
fof(f9321,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,[],[f6713]) ).
fof(f9322,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| r1_tarski(k2_relat_1(X2),X1) ),
inference(cnf_transformation,[],[f6714]) ).
fof(f9323,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| r1_tarski(k1_relat_1(X2),X0) ),
inference(cnf_transformation,[],[f6714]) ).
fof(f9324,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,[],[f6716]) ).
fof(f9325,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,[],[f6718]) ).
fof(f9326,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,[],[f6720]) ).
fof(f9327,plain,
! [X3,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(X1,X3) != sK88(X0,X1)
| ~ r2_hidden(X3,k1_relat_1(X1))
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f8408]) ).
fof(f9328,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r2_hidden(sK88(X0,X1),X0)
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f8408]) ).
fof(f9329,plain,
! [X0,X1] :
( v1_funct_1(sK89(X0,X1))
| k1_xboole_0 != X1 ),
inference(cnf_transformation,[],[f8409]) ).
fof(f9330,plain,
! [X0,X1] :
( v1_relat_1(sK89(X0,X1))
| k1_xboole_0 != X1 ),
inference(cnf_transformation,[],[f8409]) ).
fof(f9331,plain,
! [X0,X1] :
( r1_tarski(k2_relat_1(sK89(X0,X1)),X0)
| k1_xboole_0 != X1 ),
inference(cnf_transformation,[],[f8409]) ).
fof(f9332,plain,
! [X0,X1] :
( k1_relat_1(sK89(X0,X1)) = X1
| k1_xboole_0 != X1 ),
inference(cnf_transformation,[],[f8409]) ).
fof(f9333,plain,
! [X0,X1] :
( v1_funct_1(sK89(X0,X1))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8409]) ).
fof(f9334,plain,
! [X0,X1] :
( v1_relat_1(sK89(X0,X1))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8409]) ).
fof(f9335,plain,
! [X0,X1] :
( r1_tarski(k2_relat_1(sK89(X0,X1)),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8409]) ).
fof(f9336,plain,
! [X0,X1] :
( k1_relat_1(sK89(X0,X1)) = X1
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8409]) ).
fof(f9338,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,sK92(X0,X5)) = X5 ),
inference(cnf_transformation,[],[f8412]) ).
fof(f9339,plain,
! [X0,X1,X5] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k2_relat_1(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(sK92(X0,X5),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f8412]) ).
fof(f9340,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,[],[f8412]) ).
fof(f9341,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK90(X0,X1),X1)
| sK90(X0,X1) = k1_funct_1(X0,sK91(X0,X1))
| k2_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f8412]) ).
fof(f9342,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK90(X0,X1),X1)
| r2_hidden(sK91(X0,X1),k1_relat_1(X0))
| k2_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f8412]) ).
fof(f9343,plain,
! [X3,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK90(X0,X1),X1)
| k1_funct_1(X0,X3) != sK90(X0,X1)
| ~ r2_hidden(X3,k1_relat_1(X0))
| k2_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f8412]) ).
fof(f9344,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r2_hidden(sK93(X0,X1),k1_relat_1(X0))
| k1_relat_1(X0) != k1_relat_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8413]) ).
fof(f9345,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(X0,sK93(X0,X1)) != k1_funct_1(X1,sK93(X0,X1))
| k1_relat_1(X0) != k1_relat_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8413]) ).
fof(f9346,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 != k1_relat_1(X0)
| k1_xboole_0 = k2_relat_1(X0) ),
inference(cnf_transformation,[],[f8414]) ).
fof(f9347,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 != k2_relat_1(X0)
| k1_xboole_0 = k1_relat_1(X0) ),
inference(cnf_transformation,[],[f8414]) ).
fof(f9348,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 != k2_relat_1(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6733]) ).
fof(f9349,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 != k1_relat_1(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6733]) ).
fof(f9351,plain,
k1_xboole_0 = k1_relat_1(k1_xboole_0),
inference(cnf_transformation,[],[f764]) ).
fof(f9352,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,[],[f6735]) ).
fof(f9353,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,[],[f6735]) ).
fof(f9354,plain,
! [X0] :
( ~ v1_relat_1(X0)
| r1_tarski(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0))) ),
inference(cnf_transformation,[],[f6736]) ).
fof(f9355,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK94(X1),k1_relat_1(X1))
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f8415]) ).
fof(f9356,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK95(X1),k2_relat_1(X1))
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f8416]) ).
fof(f9357,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f6741]) ).
fof(f9358,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f6741]) ).
fof(f9359,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f6743]) ).
fof(f9360,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| r2_hidden(sK97(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,[],[f8417]) ).
fof(f9361,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| r2_hidden(sK96(X0,X1,X2,X3),X0)
| k2_zfmisc_1(X0,X1) != k1_relat_1(X3)
| k2_zfmisc_1(X0,X1) != k1_relat_1(X2)
| X2 = X3 ),
inference(cnf_transformation,[],[f8417]) ).
fof(f9362,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(sK96(X0,X1,X2,X3),sK97(X0,X1,X2,X3))) != k1_funct_1(X3,k4_tarski(sK96(X0,X1,X2,X3),sK97(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,[],[f8417]) ).
fof(f9363,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| m1_subset_1(sK98(X0,X1,X3,X4),X0)
| X3 = X4 ),
inference(cnf_transformation,[],[f8418]) ).
fof(f9364,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(sK99(X0,X1,X3,X4),X1)
| X3 = X4 ),
inference(cnf_transformation,[],[f8418]) ).
fof(f9365,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(sK98(X0,X1,X3,X4),sK99(X0,X1,X3,X4))) != k1_funct_1(X4,k4_tarski(sK98(X0,X1,X3,X4),sK99(X0,X1,X3,X4)))
| X3 = X4 ),
inference(cnf_transformation,[],[f8418]) ).
fof(f9366,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,[],[f6749]) ).
fof(f9367,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(sK101(X0,X1,X3,X4),X1)
| X3 = X4 ),
inference(cnf_transformation,[],[f8419]) ).
fof(f9368,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| r2_hidden(sK100(X0,X1,X3,X4),X0)
| X3 = X4 ),
inference(cnf_transformation,[],[f8419]) ).
fof(f9369,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(sK100(X0,X1,X3,X4),sK101(X0,X1,X3,X4))) != k1_funct_1(X4,k4_tarski(sK100(X0,X1,X3,X4),sK101(X0,X1,X3,X4)))
| X3 = X4 ),
inference(cnf_transformation,[],[f8419]) ).
fof(f9370,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(sK102(X0,X2,X3),X0)
| X2 = X3 ),
inference(cnf_transformation,[],[f8420]) ).
fof(f9371,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_funct_1(X3,sK102(X0,X2,X3)) != k1_funct_1(X2,sK102(X0,X2,X3))
| X2 = X3 ),
inference(cnf_transformation,[],[f8420]) ).
fof(f9372,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(sK103(X0,X2,X3),X0)
| X2 = X3 ),
inference(cnf_transformation,[],[f8421]) ).
fof(f9373,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,sK103(X0,X2,X3)) != k1_funct_1(X2,sK103(X0,X2,X3))
| X2 = X3 ),
inference(cnf_transformation,[],[f8421]) ).
fof(f9374,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,sK104(X0,X2,X3)) = X2
| k2_relat_1(X3) != X1
| ~ r2_hidden(X2,X1) ),
inference(cnf_transformation,[],[f8422]) ).
fof(f9375,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| r2_hidden(sK104(X0,X2,X3),X0)
| k2_relat_1(X3) != X1
| ~ r2_hidden(X2,X1) ),
inference(cnf_transformation,[],[f8422]) ).
fof(f9376,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) != sK105(X0,X1,X2)
| ~ r2_hidden(X4,X0)
| k2_relat_1(X2) = X1
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f8423]) ).
fof(f9377,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| r2_hidden(sK105(X0,X1,X2),X1)
| k2_relat_1(X2) = X1
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f8423]) ).
fof(f9378,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,[],[f6761]) ).
fof(f9379,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,[],[f6763]) ).
fof(f9380,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,[],[f8425]) ).
fof(f9382,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,[],[f8425]) ).
fof(f9383,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,[],[f8426]) ).
fof(f9387,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(f9389,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f6771]) ).
fof(f9390,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,[],[f6773]) ).
fof(f9391,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(sK107(X0,X1))
| r2_hidden(sK106(X0,X1),k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1))) ),
inference(cnf_transformation,[],[f8427]) ).
fof(f9392,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_relat_1(sK107(X0,X1))
| r2_hidden(sK106(X0,X1),k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1))) ),
inference(cnf_transformation,[],[f8427]) ).
fof(f9393,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_xboole_0(X0,X1) = sK107(X0,X1)
| r2_hidden(sK106(X0,X1),k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1))) ),
inference(cnf_transformation,[],[f8427]) ).
fof(f9394,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(sK107(X0,X1))
| k1_funct_1(X0,sK106(X0,X1)) != k1_funct_1(X1,sK106(X0,X1)) ),
inference(cnf_transformation,[],[f8427]) ).
fof(f9395,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_relat_1(sK107(X0,X1))
| k1_funct_1(X0,sK106(X0,X1)) != k1_funct_1(X1,sK106(X0,X1)) ),
inference(cnf_transformation,[],[f8427]) ).
fof(f9396,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_xboole_0(X0,X1) = sK107(X0,X1)
| k1_funct_1(X0,sK106(X0,X1)) != k1_funct_1(X1,sK106(X0,X1)) ),
inference(cnf_transformation,[],[f8427]) ).
fof(f9397,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,[],[f6777]) ).
fof(f9398,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,[],[f6778]) ).
fof(f9399,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,[],[f6779]) ).
fof(f9400,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f6781]) ).
fof(f9403,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(f9405,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(f9406,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(f9407,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(f9408,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(f9409,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(f9411,plain,
! [X0,X1] : k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)) = k4_xboole_0(k2_xboole_0(X0,X1),k3_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f124]) ).
fof(f9412,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(f9413,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(f9414,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(f9415,plain,
! [X0,X1] : k2_xboole_0(k3_xboole_0(X0,X1),k4_xboole_0(X0,X1)) = X0,
inference(cnf_transformation,[],[f120]) ).
fof(f9416,plain,
! [X0,X1] : k1_xboole_0 = k4_xboole_0(X0,k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f115]) ).
fof(f9418,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k4_xboole_0(X0,X1),X2)
| r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f6785]) ).
fof(f9419,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| r1_tarski(k4_xboole_0(X0,X1),X2) ),
inference(cnf_transformation,[],[f6786]) ).
fof(f9420,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(f9421,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(f9422,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(k2_xboole_0(X0,X1),X1),
inference(cnf_transformation,[],[f109]) ).
fof(f9423,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f108]) ).
fof(f9424,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(f9425,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,[],[f6787]) ).
fof(f9426,plain,
! [X2,X0,X1] : r1_tarski(k3_xboole_0(X0,X1),k2_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f98]) ).
fof(f9427,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(f9428,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(f9432,plain,
! [X0,X1] :
( k1_xboole_0 != k2_xboole_0(X0,X1)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6788]) ).
fof(f9433,plain,
! [X2,X0,X1] :
( r1_tarski(X2,sK108(X0,X1,X2))
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f8428]) ).
fof(f9434,plain,
! [X2,X0,X1] :
( r1_tarski(X0,sK108(X0,X1,X2))
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f8428]) ).
fof(f9435,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,sK108(X0,X1,X2))
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f8428]) ).
fof(f9436,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,[],[f6792]) ).
fof(f9437,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X1) = X1 ),
inference(cnf_transformation,[],[f6793]) ).
fof(f9438,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_xboole_0(X0,X1),X2)
| r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f6794]) ).
fof(f9439,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(X0,k2_xboole_0(X2,X1)) ),
inference(cnf_transformation,[],[f6795]) ).
fof(f9440,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k2_xboole_0(X0,X2),k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f6796]) ).
fof(f9441,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k2_xboole_0(X0,X2),X1) ),
inference(cnf_transformation,[],[f6798]) ).
fof(f9442,plain,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f76]) ).
fof(f9443,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f75]) ).
fof(f9445,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(f9446,plain,
! [X0] : k2_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f62]) ).
fof(f9447,plain,
! [X0] : k2_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f6441]) ).
fof(f9448,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f9449,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,[],[f8432]) ).
fof(f9450,plain,
! [X2,X0,X1,X4] :
( k2_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X1)
| r2_hidden(X4,X2) ),
inference(cnf_transformation,[],[f8432]) ).
fof(f9451,plain,
! [X2,X0,X1,X4] :
( k2_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X2) ),
inference(cnf_transformation,[],[f8432]) ).
fof(f9452,plain,
! [X2,X0,X1] :
( r2_hidden(sK109(X0,X1,X2),X2)
| r2_hidden(sK109(X0,X1,X2),X1)
| r2_hidden(sK109(X0,X1,X2),X0)
| k2_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8432]) ).
fof(f9453,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK109(X0,X1,X2),X2)
| ~ r2_hidden(sK109(X0,X1,X2),X1)
| k2_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8432]) ).
fof(f9454,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK109(X0,X1,X2),X2)
| ~ r2_hidden(sK109(X0,X1,X2),X0)
| k2_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8432]) ).
fof(f9455,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f6799]) ).
fof(f9456,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f6800]) ).
fof(f9457,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,[],[f6802]) ).
fof(f9458,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,[],[f6802]) ).
fof(f9460,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,[],[f6802]) ).
fof(f9461,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,[],[f6802]) ).
fof(f9463,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,[],[f6804]) ).
fof(f9467,plain,
k1_xboole_0 = k2_relat_1(k1_xboole_0),
inference(cnf_transformation,[],[f1361]) ).
fof(f9468,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,[],[f6808]) ).
fof(f9469,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,[],[f6809]) ).
fof(f9470,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,[],[f6810]) ).
fof(f9471,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,[],[f6811]) ).
fof(f9474,plain,
! [X0,X1,X5] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(k4_tarski(sK112(X0,X5),X5),X0) ),
inference(cnf_transformation,[],[f8435]) ).
fof(f9475,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,[],[f8435]) ).
fof(f9476,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK110(X0,X1),X1)
| r2_hidden(k4_tarski(sK111(X0,X1),sK110(X0,X1)),X0)
| k2_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f8435]) ).
fof(f9477,plain,
! [X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK110(X0,X1),X1)
| ~ r2_hidden(k4_tarski(X3,sK110(X0,X1)),X0)
| k2_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f8435]) ).
fof(f9478,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f6815]) ).
fof(f9479,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f6815]) ).
fof(f9480,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f6817]) ).
fof(f9481,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(sK113(X0,X1,X3),X0)
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X3,X2) ),
inference(cnf_transformation,[],[f8436]) ).
fof(f9482,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(sK114(X0,X1,X3),X1)
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X3,X2) ),
inference(cnf_transformation,[],[f8436]) ).
fof(f9483,plain,
! [X2,X3,X0,X1] :
( k4_tarski(sK113(X0,X1,X3),sK114(X0,X1,X3)) = X3
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X3,X2) ),
inference(cnf_transformation,[],[f8436]) ).
fof(f9484,plain,
! [X2,X3,X0] :
( r1_tarski(X0,k2_zfmisc_1(sK116(X0),sK117(X0)))
| k4_tarski(X2,X3) != sK115(X0) ),
inference(cnf_transformation,[],[f8437]) ).
fof(f9485,plain,
! [X0] :
( r1_tarski(X0,k2_zfmisc_1(sK116(X0),sK117(X0)))
| r2_hidden(sK115(X0),X0) ),
inference(cnf_transformation,[],[f8437]) ).
fof(f9486,plain,
! [X2,X3,X0] :
( k4_tarski(X2,X3) != sK118(X0)
| ~ r2_hidden(X3,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8438]) ).
fof(f9487,plain,
! [X2,X3,X0] :
( k4_tarski(X2,X3) != sK118(X0)
| ~ r2_hidden(X2,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8438]) ).
fof(f9488,plain,
! [X0] :
( r2_hidden(sK118(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8438]) ).
fof(f9489,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| r2_hidden(sK120(X0,X1,X2),X1)
| ~ r2_hidden(X2,X3) ),
inference(cnf_transformation,[],[f8439]) ).
fof(f9490,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| r2_hidden(sK119(X0,X1,X2),X0)
| ~ r2_hidden(X2,X3) ),
inference(cnf_transformation,[],[f8439]) ).
fof(f9491,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| k4_tarski(sK119(X0,X1,X2),sK120(X0,X1,X2)) = X2
| ~ r2_hidden(X2,X3) ),
inference(cnf_transformation,[],[f8439]) ).
fof(f9495,plain,
! [X2,X3,X0] :
( sP0(X0)
| k4_tarski(X2,X3) != sK124(X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f8443]) ).
fof(f9496,plain,
! [X0] :
( sP0(X0)
| r2_hidden(sK124(X0),X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f8443]) ).
fof(f9497,plain,
! [X2,X3,X0] :
( sP0(X0)
| k4_tarski(X2,X3) != sK124(X0)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f8443]) ).
fof(f9498,plain,
! [X0] :
( sP0(X0)
| r2_hidden(sK124(X0),X0)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f8443]) ).
fof(f9499,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,[],[f8446]) ).
fof(f9500,plain,
! [X0] :
( r2_hidden(k4_tarski(sK125(X0),sK127(X0)),X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f8446]) ).
fof(f9501,plain,
! [X0] :
( r2_hidden(k4_tarski(sK125(X0),sK126(X0)),X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f8446]) ).
fof(f9502,plain,
! [X0] :
( sK126(X0) != sK127(X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f8446]) ).
fof(f9503,plain,
! [X0] :
( ~ v1_relat_1(X0)
| r2_hidden(k4_tarski(sK128(X0),sK129(X0)),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8447]) ).
fof(f9504,plain,
! [X0,X1,X5] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(k4_tarski(X5,sK132(X0,X5)),X0) ),
inference(cnf_transformation,[],[f8450]) ).
fof(f9505,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,[],[f8450]) ).
fof(f9506,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK130(X0,X1),X1)
| r2_hidden(k4_tarski(sK130(X0,X1),sK131(X0,X1)),X0)
| k1_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f8450]) ).
fof(f9507,plain,
! [X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK130(X0,X1),X1)
| ~ r2_hidden(k4_tarski(sK130(X0,X1),X3),X0)
| k1_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f8450]) ).
fof(f9509,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r2_hidden(k4_tarski(sK133(X0,X1),sK134(X0,X1)),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8453]) ).
fof(f9510,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k4_tarski(sK133(X0,X1),sK134(X0,X1)),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8453]) ).
fof(f9513,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r2_hidden(k4_tarski(sK135(X0,X1),sK136(X0,X1)),X0)
| r2_hidden(k4_tarski(sK135(X0,X1),sK136(X0,X1)),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8456]) ).
fof(f9514,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k4_tarski(sK135(X0,X1),sK136(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK135(X0,X1),sK136(X0,X1)),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8456]) ).
fof(f9515,plain,
! [X0,X4] :
( ~ v1_relat_1(X0)
| k4_tarski(sK138(X4),sK139(X4)) = X4
| ~ r2_hidden(X4,X0) ),
inference(cnf_transformation,[],[f8459]) ).
fof(f9516,plain,
! [X2,X3,X0] :
( k4_tarski(X2,X3) != sK137(X0)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f8459]) ).
fof(f9517,plain,
! [X0] :
( r2_hidden(sK137(X0),X0)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f8459]) ).
fof(f9518,plain,
! [X3,X0,X1,X6,X7,X4] :
( r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X0)
| r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X1)
| k4_tarski(X6,X7) != sK141(X1)
| k4_tarski(X3,X4) != sK140(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f8461]) ).
fof(f9519,plain,
! [X3,X0,X1,X6,X7,X4] :
( ~ r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X1)
| k4_tarski(X6,X7) != sK141(X1)
| k4_tarski(X3,X4) != sK140(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f8461]) ).
fof(f9520,plain,
! [X3,X0,X1,X4] :
( r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X0)
| r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X1)
| r2_hidden(sK141(X1),X1)
| k4_tarski(X3,X4) != sK140(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f8461]) ).
fof(f9521,plain,
! [X3,X0,X1,X4] :
( ~ r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X1)
| r2_hidden(sK141(X1),X1)
| k4_tarski(X3,X4) != sK140(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f8461]) ).
fof(f9522,plain,
! [X0,X1,X6,X7] :
( r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X0)
| r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X1)
| k4_tarski(X6,X7) != sK141(X1)
| r2_hidden(sK140(X0),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f8461]) ).
fof(f9523,plain,
! [X0,X1,X6,X7] :
( ~ r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X1)
| k4_tarski(X6,X7) != sK141(X1)
| r2_hidden(sK140(X0),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f8461]) ).
fof(f9524,plain,
! [X0,X1] :
( r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X0)
| r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X1)
| r2_hidden(sK141(X1),X1)
| r2_hidden(sK140(X0),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f8461]) ).
fof(f9525,plain,
! [X0,X1] :
( ~ r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X1)
| r2_hidden(sK141(X1),X1)
| r2_hidden(sK140(X0),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f8461]) ).
fof(f9526,plain,
! [X3,X0,X1,X4] :
( r2_hidden(k4_tarski(sK145(X0,X1),sK146(X0,X1)),X0)
| k4_tarski(X3,X4) != sK144(X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8462]) ).
fof(f9527,plain,
! [X3,X0,X1,X4] :
( ~ r2_hidden(k4_tarski(sK145(X0,X1),sK146(X0,X1)),X1)
| k4_tarski(X3,X4) != sK144(X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8462]) ).
fof(f9528,plain,
! [X0,X1] :
( r2_hidden(k4_tarski(sK145(X0,X1),sK146(X0,X1)),X0)
| r2_hidden(sK144(X0),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8462]) ).
fof(f9529,plain,
! [X0,X1] :
( ~ r2_hidden(k4_tarski(sK145(X0,X1),sK146(X0,X1)),X1)
| r2_hidden(sK144(X0),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8462]) ).
fof(f9530,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(k4_tarski(sK147(X0,X3),sK148(X0,X3)),X0)
| r2_hidden(k4_tarski(sK147(X0,X3),sK148(X0,X3)),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| X0 = X3 ),
inference(cnf_transformation,[],[f8464]) ).
fof(f9531,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(k4_tarski(sK147(X0,X3),sK148(X0,X3)),X0)
| ~ r2_hidden(k4_tarski(sK147(X0,X3),sK148(X0,X3)),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| X0 = X3 ),
inference(cnf_transformation,[],[f8464]) ).
fof(f9532,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k4_tarski(sK149(X0,X3),sK150(X0,X3)),X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(X0,X3) ),
inference(cnf_transformation,[],[f8465]) ).
fof(f9533,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(sK149(X0,X3),sK150(X0,X3)),X3)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(X0,X3) ),
inference(cnf_transformation,[],[f8465]) ).
fof(f9534,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k4_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3)),k2_zfmisc_1(X0,X1))
| r2_hidden(k4_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3)),k2_zfmisc_1(X2,X3))
| k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ),
inference(cnf_transformation,[],[f8467]) ).
fof(f9535,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3)),k2_zfmisc_1(X0,X1))
| ~ r2_hidden(k4_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3)),k2_zfmisc_1(X2,X3))
| k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ),
inference(cnf_transformation,[],[f8467]) ).
fof(f9536,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,[],[f6842]) ).
fof(f9537,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(X1,X3) ),
inference(cnf_transformation,[],[f8469]) ).
fof(f9538,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f8469]) ).
fof(f9540,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK154(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,[],[f8470]) ).
fof(f9541,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK153(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,[],[f8470]) ).
fof(f9542,plain,
! [X2,X3,X0,X1,X4] :
( k4_tarski(sK153(X0,X1,X2,X3,X4),sK154(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,[],[f8470]) ).
fof(f9543,plain,
! [X2,X3,X0,X1] :
( k4_tarski(sK155(X1,X2,X3),sK156(X1,X2,X3)) = X3
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f8471]) ).
fof(f9544,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK156(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f8471]) ).
fof(f9545,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK155(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f8471]) ).
fof(f9546,plain,
! [X2,X0,X1] :
( k4_tarski(sK157(X0),sK158(X0)) = X0
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f8472]) ).
fof(f9547,plain,
! [X2,X3,X0,X1] :
( k4_tarski(X0,X1) != k4_tarski(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f6846]) ).
fof(f9548,plain,
! [X2,X3,X0,X1] :
( k4_tarski(X0,X1) != k4_tarski(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f6846]) ).
fof(f9549,plain,
! [X2,X0,X1,X8] :
( k2_zfmisc_1(X0,X1) != X2
| ~ r2_hidden(X8,X2)
| k4_tarski(sK162(X0,X1,X8),sK163(X0,X1,X8)) = X8 ),
inference(cnf_transformation,[],[f8475]) ).
fof(f9550,plain,
! [X2,X0,X1,X8] :
( k2_zfmisc_1(X0,X1) != X2
| ~ r2_hidden(X8,X2)
| r2_hidden(sK163(X0,X1,X8),X1) ),
inference(cnf_transformation,[],[f8475]) ).
fof(f9551,plain,
! [X2,X0,X1,X8] :
( k2_zfmisc_1(X0,X1) != X2
| ~ r2_hidden(X8,X2)
| r2_hidden(sK162(X0,X1,X8),X0) ),
inference(cnf_transformation,[],[f8475]) ).
fof(f9552,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,[],[f8475]) ).
fof(f9553,plain,
! [X2,X0,X1] :
( r2_hidden(sK159(X0,X1,X2),X2)
| sK159(X0,X1,X2) = k4_tarski(sK160(X0,X1,X2),sK161(X0,X1,X2))
| k2_zfmisc_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8475]) ).
fof(f9554,plain,
! [X2,X0,X1] :
( r2_hidden(sK159(X0,X1,X2),X2)
| r2_hidden(sK161(X0,X1,X2),X1)
| k2_zfmisc_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8475]) ).
fof(f9555,plain,
! [X2,X0,X1] :
( r2_hidden(sK159(X0,X1,X2),X2)
| r2_hidden(sK160(X0,X1,X2),X0)
| k2_zfmisc_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8475]) ).
fof(f9556,plain,
! [X2,X0,X1,X4,X5] :
( ~ r2_hidden(sK159(X0,X1,X2),X2)
| k4_tarski(X4,X5) != sK159(X0,X1,X2)
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X0)
| k2_zfmisc_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8475]) ).
fof(f9558,plain,
l1_pre_topc(sK164),
inference(cnf_transformation,[],[f8476]) ).
fof(f9559,plain,
~ v3_struct_0(sK165),
inference(cnf_transformation,[],[f8477]) ).
fof(f9560,plain,
l1_group_1(sK165),
inference(cnf_transformation,[],[f8477]) ).
fof(f9561,plain,
l1_group_1(sK166),
inference(cnf_transformation,[],[f8478]) ).
fof(f9562,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,[],[f6848]) ).
fof(f9563,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,[],[f6850]) ).
fof(f9564,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,[],[f6852]) ).
fof(f9565,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,[],[f6854]) ).
fof(f9566,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(sK167(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,[],[f8480]) ).
fof(f9567,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(sK168(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,[],[f8480]) ).
fof(f9568,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,sK167(X1,X2,X3,X4,X6),sK168(X1,X2,X3,X4,X6))) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,sK167(X1,X2,X3,X4,X6)),k8_funct_2(X1,X3,X6,sK168(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,[],[f8480]) ).
fof(f9569,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,[],[f6858]) ).
fof(f9570,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,[],[f6860]) ).
fof(f9571,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| k7_setwiseo(X4,X5,X1,X2,X0) != X3
| sP2(X5,X4,X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f8482]) ).
fof(f9572,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| ~ sP2(X5,X4,X3,X2,X1,X0)
| k7_setwiseo(X4,X5,X1,X2,X0) = X3 ),
inference(cnf_transformation,[],[f8482]) ).
fof(f9573,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5)
| sP1(X5,X0,X1,sK171(X0,X1,X2,X3,X4,X5),X4,X3) ),
inference(cnf_transformation,[],[f8485]) ).
fof(f9574,plain,
! [X2,X3,X0,X11,X1,X4,X5] :
( ~ sP2(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,sK171(X0,X1,X2,X3,X4,X5),k2_setwiseo(X1,X11)) ),
inference(cnf_transformation,[],[f8485]) ).
fof(f9575,plain,
! [X2,X3,X10,X0,X1,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5)
| ~ m1_subset_1(X10,X0)
| ~ r3_binop_1(X0,X10,X4)
| k1_funct_1(sK171(X0,X1,X2,X3,X4,X5),k1_xboole_0) = X10 ),
inference(cnf_transformation,[],[f8485]) ).
fof(f9576,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5)
| k8_funct_2(k5_finsub_1(X1),X0,sK171(X0,X1,X2,X3,X4,X5),X3) = X2 ),
inference(cnf_transformation,[],[f8485]) ).
fof(f9577,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5)
| m2_relset_1(sK171(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0) ),
inference(cnf_transformation,[],[f8485]) ).
fof(f9578,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5)
| v1_funct_2(sK171(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0) ),
inference(cnf_transformation,[],[f8485]) ).
fof(f9579,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5)
| v1_funct_1(sK171(X0,X1,X2,X3,X4,X5)) ),
inference(cnf_transformation,[],[f8485]) ).
fof(f9580,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP1(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK170(X0,X1,X5,X6),X1)
| m1_subset_1(sK169(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)
| sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f8485]) ).
fof(f9581,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP1(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK170(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK170(X0,X1,X5,X6)))
| m1_subset_1(sK169(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)
| sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f8485]) ).
fof(f9582,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP1(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK170(X0,X1,X5,X6),X1)
| r3_binop_1(X0,sK169(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)
| sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f8485]) ).
fof(f9583,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP1(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK170(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK170(X0,X1,X5,X6)))
| r3_binop_1(X0,sK169(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)
| sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f8485]) ).
fof(f9584,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP1(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK170(X0,X1,X5,X6),X1)
| k1_funct_1(X6,k1_xboole_0) != sK169(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)
| sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f8485]) ).
fof(f9585,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP1(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK170(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK170(X0,X1,X5,X6)))
| k1_funct_1(X6,k1_xboole_0) != sK169(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)
| sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f8485]) ).
fof(f9593,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)
| sP3(X4,X2,X3,X5,X0,X1)
| ~ v1_setwiseo(X2,X1) ),
inference(cnf_transformation,[],[f8256]) ).
fof(f9594,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)
| sP3(X4,X2,X3,X5,X0,X1)
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f8256]) ).
fof(f9595,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,[],[f6864]) ).
fof(f9596,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,[],[f6864]) ).
fof(f9597,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,[],[f8489]) ).
fof(f9598,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,[],[f8489]) ).
fof(f9599,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,sK174(X0,X1),X1) ),
inference(cnf_transformation,[],[f8492]) ).
fof(f9600,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(sK174(X0,X1),X0) ),
inference(cnf_transformation,[],[f8492]) ).
fof(f9601,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,[],[f8492]) ).
fof(f9602,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,[],[f6869]) ).
fof(f9603,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,[],[f6869]) ).
fof(f9604,plain,
! [X0] :
( ~ l1_group_1(X0)
| v1_funct_1(u1_group_1(X0)) ),
inference(cnf_transformation,[],[f6869]) ).
fof(f9605,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,[],[f6871]) ).
fof(f9606,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,[],[f6873]) ).
fof(f9607,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,[],[f6875]) ).
fof(f9608,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,[],[f6877]) ).
fof(f9609,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,[],[f6879]) ).
fof(f9610,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,[],[f8494]) ).
fof(f9611,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,[],[f8494]) ).
fof(f9612,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,[],[f6883]) ).
fof(f9613,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f6885]) ).
fof(f9614,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,[],[f6887]) ).
fof(f9616,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,[],[f6891]) ).
fof(f9617,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,[],[f6893]) ).
fof(f9618,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,[],[f6895]) ).
fof(f9619,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,[],[f6895]) ).
fof(f9622,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,[],[f6897]) ).
fof(f9623,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,[],[f6899]) ).
fof(f9624,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,[],[f6901]) ).
fof(f9625,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,[],[f6901]) ).
fof(f9627,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,[],[f8496]) ).
fof(f9628,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,[],[f8496]) ).
fof(f9630,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(sK175(X0,X1),u1_struct_0(X0))
| k2_group_1(X0) = X1 ),
inference(cnf_transformation,[],[f8497]) ).
fof(f9631,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK175(X0,X1) != k1_group_1(X0,X1,sK175(X0,X1))
| sK175(X0,X1) != k1_group_1(X0,sK175(X0,X1),X1)
| k2_group_1(X0) = X1 ),
inference(cnf_transformation,[],[f8497]) ).
fof(f9632,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,[],[f8499]) ).
fof(f9633,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,[],[f8499]) ).
fof(f9634,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,[],[f8499]) ).
fof(f9635,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,[],[f6911]) ).
fof(f9636,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,[],[f6913]) ).
fof(f9637,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,[],[f6915]) ).
fof(f9639,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(sK176(X0,X1,X2),X0)
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8502]) ).
fof(f9640,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)
| sK176(X0,X1,X2) != k1_binop_1(X1,sK176(X0,X1,X2),X2)
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8502]) ).
fof(f9642,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(sK177(X0,X1,X2),X0)
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8505]) ).
fof(f9643,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)
| sK177(X0,X1,X2) != k1_binop_1(X1,X2,sK177(X0,X1,X2))
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8505]) ).
fof(f9644,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,[],[f8508]) ).
fof(f9645,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,[],[f8508]) ).
fof(f9646,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(sK178(X0,X1,X2),X0)
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8508]) ).
fof(f9647,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)
| sK178(X0,X1,X2) != k1_binop_1(X1,sK178(X0,X1,X2),X2)
| sK178(X0,X1,X2) != k1_binop_1(X1,X2,sK178(X0,X1,X2))
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8508]) ).
fof(f9648,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,[],[f8511]) ).
fof(f9649,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(sK179(X0,X1,X2),u1_struct_0(X0))
| v1_group_6(X2,X0,X1) ),
inference(cnf_transformation,[],[f8511]) ).
fof(f9650,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(sK180(X0,X1,X2),u1_struct_0(X0))
| v1_group_6(X2,X0,X1) ),
inference(cnf_transformation,[],[f8511]) ).
fof(f9651,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,sK179(X0,X1,X2),sK180(X0,X1,X2))) != k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK179(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK180(X0,X1,X2)))
| v1_group_6(X2,X0,X1) ),
inference(cnf_transformation,[],[f8511]) ).
fof(f9652,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,[],[f6925]) ).
fof(f9653,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,[],[f6927]) ).
fof(f9654,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,[],[f6929]) ).
fof(f9655,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,[],[f6931]) ).
fof(f9656,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,[],[f6933]) ).
fof(f9657,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,[],[f6935]) ).
fof(f9658,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,[],[f6935]) ).
fof(f9659,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,[],[f6937]) ).
fof(f9660,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,[],[f6939]) ).
fof(f9661,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,[],[f6941]) ).
fof(f9662,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,[],[f6943]) ).
fof(f9663,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,[],[f6945]) ).
fof(f9664,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,[],[f6947]) ).
fof(f9665,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,sK181(X0,X1,X2),X1) = X2 ),
inference(cnf_transformation,[],[f8512]) ).
fof(f9666,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(sK181(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8512]) ).
fof(f9667,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,sK182(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f8513]) ).
fof(f9668,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(sK182(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8513]) ).
fof(f9669,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,[],[f6953]) ).
fof(f9670,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,[],[f6953]) ).
fof(f9675,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK186(X0),u1_struct_0(X0))
| sP4(X0)
| v3_group_1(X0) ),
inference(cnf_transformation,[],[f8517]) ).
fof(f9676,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK187(X0),u1_struct_0(X0))
| sP4(X0)
| v3_group_1(X0) ),
inference(cnf_transformation,[],[f8517]) ).
fof(f9677,plain,
! [X3,X0,X4] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sK187(X0) != k1_group_1(X0,X4,sK186(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| sK187(X0) != k1_group_1(X0,sK186(X0),X3)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| sP4(X0)
| v3_group_1(X0) ),
inference(cnf_transformation,[],[f8517]) ).
fof(f9678,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK186(X0),u1_struct_0(X0))
| sP4(X0)
| v4_group_1(X0) ),
inference(cnf_transformation,[],[f8517]) ).
fof(f9679,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK187(X0),u1_struct_0(X0))
| sP4(X0)
| v4_group_1(X0) ),
inference(cnf_transformation,[],[f8517]) ).
fof(f9680,plain,
! [X3,X0,X4] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sK187(X0) != k1_group_1(X0,X4,sK186(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| sK187(X0) != k1_group_1(X0,sK186(X0),X3)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| sP4(X0)
| v4_group_1(X0) ),
inference(cnf_transformation,[],[f8517]) ).
fof(f9686,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sP5(X0)
| v4_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK191(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8521]) ).
fof(f9687,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sP5(X0)
| v3_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK191(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8521]) ).
fof(f9690,plain,
! [X3,X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sP5(X0)
| v4_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_group_1(X0,X3,sK191(X0,X1)) != X1
| k1_group_1(X0,sK191(X0,X1),X3) != X1
| ~ m1_subset_1(X3,u1_struct_0(X0))
| sK191(X0,X1) != k1_group_1(X0,X1,sK191(X0,X1))
| sK191(X0,X1) != k1_group_1(X0,sK191(X0,X1),X1) ),
inference(cnf_transformation,[],[f8521]) ).
fof(f9691,plain,
! [X3,X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sP5(X0)
| v3_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_group_1(X0,X3,sK191(X0,X1)) != X1
| k1_group_1(X0,sK191(X0,X1),X3) != X1
| ~ m1_subset_1(X3,u1_struct_0(X0))
| sK191(X0,X1) != k1_group_1(X0,X1,sK191(X0,X1))
| sK191(X0,X1) != k1_group_1(X0,sK191(X0,X1),X1) ),
inference(cnf_transformation,[],[f8521]) ).
fof(f9693,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,[],[f8524]) ).
fof(f9694,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK192(X0),u1_struct_0(X0))
| v4_group_1(X0) ),
inference(cnf_transformation,[],[f8524]) ).
fof(f9695,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK193(X0),u1_struct_0(X0))
| v4_group_1(X0) ),
inference(cnf_transformation,[],[f8524]) ).
fof(f9696,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK194(X0),u1_struct_0(X0))
| v4_group_1(X0) ),
inference(cnf_transformation,[],[f8524]) ).
fof(f9697,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| k1_group_1(X0,k1_group_1(X0,sK192(X0),sK193(X0)),sK194(X0)) != k1_group_1(X0,sK192(X0),k1_group_1(X0,sK193(X0),sK194(X0)))
| v4_group_1(X0) ),
inference(cnf_transformation,[],[f8524]) ).
fof(f9698,plain,
! [X0,X5] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| sK196(X0) = k1_group_1(X0,sK197(X0,X5),X5) ),
inference(cnf_transformation,[],[f8527]) ).
fof(f9699,plain,
! [X0,X5] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| sK196(X0) = k1_group_1(X0,X5,sK197(X0,X5)) ),
inference(cnf_transformation,[],[f8527]) ).
fof(f9700,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(sK197(X0,X5),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8527]) ).
fof(f9701,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,sK196(X0),X5) = X5 ),
inference(cnf_transformation,[],[f8527]) ).
fof(f9702,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,sK196(X0)) = X5 ),
inference(cnf_transformation,[],[f8527]) ).
fof(f9703,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| m1_subset_1(sK196(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8527]) ).
fof(f9704,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK195(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_group_1(X0) ),
inference(cnf_transformation,[],[f8527]) ).
fof(f9705,plain,
! [X3,X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| k1_group_1(X0,X3,sK195(X0,X1)) != X1
| k1_group_1(X0,sK195(X0,X1),X3) != X1
| ~ m1_subset_1(X3,u1_struct_0(X0))
| sK195(X0,X1) != k1_group_1(X0,X1,sK195(X0,X1))
| sK195(X0,X1) != k1_group_1(X0,sK195(X0,X1),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_group_1(X0) ),
inference(cnf_transformation,[],[f8527]) ).
fof(f9706,plain,
v7_group_1(sK198),
inference(cnf_transformation,[],[f8528]) ).
fof(f9707,plain,
v4_group_1(sK198),
inference(cnf_transformation,[],[f8528]) ).
fof(f9708,plain,
~ v3_struct_0(sK198),
inference(cnf_transformation,[],[f8528]) ).
fof(f9709,plain,
l1_group_1(sK198),
inference(cnf_transformation,[],[f8528]) ).
fof(f9710,plain,
! [X3,X0,X4] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v7_group_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| k1_group_1(X0,X3,X4) = k1_group_1(X0,X4,X3) ),
inference(cnf_transformation,[],[f8531]) ).
fof(f9711,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK199(X0),u1_struct_0(X0))
| v7_group_1(X0) ),
inference(cnf_transformation,[],[f8531]) ).
fof(f9712,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK200(X0),u1_struct_0(X0))
| v7_group_1(X0) ),
inference(cnf_transformation,[],[f8531]) ).
fof(f9713,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| k1_group_1(X0,sK199(X0),sK200(X0)) != k1_group_1(X0,sK200(X0),sK199(X0))
| v7_group_1(X0) ),
inference(cnf_transformation,[],[f8531]) ).
fof(f9714,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(sK201(X0,X1),X3),k4_xboole_0(X0,k1_tarski(X1))) ),
inference(cnf_transformation,[],[f8532]) ).
fof(f9715,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| m2_relset_1(sK201(X0,X1),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f8532]) ).
fof(f9716,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_funct_2(sK201(X0,X1),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f8532]) ).
fof(f9717,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_funct_1(sK201(X0,X1)) ),
inference(cnf_transformation,[],[f8532]) ).
fof(f9718,plain,
! [X1] :
( ~ m1_subset_1(X1,sK202)
| ~ v1_xboole_0(k4_xboole_0(sK202,k1_tarski(X1))) ),
inference(cnf_transformation,[],[f8533]) ).
fof(f9719,plain,
~ v1_xboole_0(sK202),
inference(cnf_transformation,[],[f8533]) ).
fof(f9721,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| v1_finset_1(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f6967]) ).
fof(f9722,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,[],[f6968]) ).
fof(f9723,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,[],[f6969]) ).
fof(f9724,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k4_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f6970]) ).
fof(f9726,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(f9727,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(f9730,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k1_xboole_0 = k4_xboole_0(k1_tarski(X0),X1) ),
inference(cnf_transformation,[],[f8534]) ).
fof(f9733,plain,
! [X0,X1] :
( k1_tarski(X1) = X0
| k1_xboole_0 = X0
| k1_xboole_0 != k4_xboole_0(X0,k1_tarski(X1)) ),
inference(cnf_transformation,[],[f6973]) ).
fof(f9734,plain,
! [X0,X1] :
( k4_xboole_0(X0,k1_tarski(X1)) != X0
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f8536]) ).
fof(f9735,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| k4_xboole_0(X0,k1_tarski(X1)) = X0 ),
inference(cnf_transformation,[],[f8536]) ).
fof(f9736,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k4_xboole_0(X1,k1_tarski(X2)))
| X0 != X2 ),
inference(cnf_transformation,[],[f8538]) ).
fof(f9738,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,k4_xboole_0(X1,k1_tarski(X2))) ),
inference(cnf_transformation,[],[f8538]) ).
fof(f9739,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,[],[f6975]) ).
fof(f9740,plain,
! [X0,X1] :
( k1_xboole_0 != k4_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f6976]) ).
fof(f9741,plain,
! [X0,X1] :
( k1_tarski(X0) != k4_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f8539]) ).
fof(f9742,plain,
! [X0,X1] :
( X0 = X1
| k1_tarski(X0) = k4_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(cnf_transformation,[],[f8539]) ).
fof(f9743,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(f9744,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X0,X2),X1) ),
inference(cnf_transformation,[],[f6977]) ).
fof(f9745,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(f9746,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(f9747,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f9748,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(X0,k3_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f116]) ).
fof(f9749,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k4_xboole_0(X1,X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6978]) ).
fof(f9750,plain,
! [X0,X1] :
( k1_xboole_0 != k4_xboole_0(X0,X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8540]) ).
fof(f9751,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k1_xboole_0 = k4_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8540]) ).
fof(f9752,plain,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f105]) ).
fof(f9753,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,[],[f6980]) ).
fof(f9754,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X2,X1),k4_xboole_0(X2,X0)) ),
inference(cnf_transformation,[],[f6981]) ).
fof(f9755,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f6982]) ).
fof(f9756,plain,
! [X0,X1] :
( k4_xboole_0(X0,X1) != k4_xboole_0(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f6983]) ).
fof(f9757,plain,
! [X0] : k1_xboole_0 = k4_xboole_0(k1_xboole_0,X0),
inference(cnf_transformation,[],[f65]) ).
fof(f9758,plain,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f64]) ).
fof(f9759,plain,
! [X2,X0,X1,X4] :
( k4_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X4,X1) ),
inference(cnf_transformation,[],[f8544]) ).
fof(f9760,plain,
! [X2,X0,X1,X4] :
( k4_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X2)
| r2_hidden(X4,X0) ),
inference(cnf_transformation,[],[f8544]) ).
fof(f9761,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,[],[f8544]) ).
fof(f9762,plain,
! [X2,X0,X1] :
( r2_hidden(sK203(X0,X1,X2),X2)
| ~ r2_hidden(sK203(X0,X1,X2),X1)
| k4_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8544]) ).
fof(f9763,plain,
! [X2,X0,X1] :
( r2_hidden(sK203(X0,X1,X2),X2)
| r2_hidden(sK203(X0,X1,X2),X0)
| k4_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8544]) ).
fof(f9764,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK203(X0,X1,X2),X2)
| r2_hidden(sK203(X0,X1,X2),X1)
| ~ r2_hidden(sK203(X0,X1,X2),X0)
| k4_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8544]) ).
fof(f9765,plain,
~ v1_finset_1(k5_numbers),
inference(cnf_transformation,[],[f4125]) ).
fof(f9766,plain,
! [X0] :
( ~ v1_finset_1(X0)
| k1_card_1(X0) = k1_card_1(sK204(X0)) ),
inference(cnf_transformation,[],[f8547]) ).
fof(f9767,plain,
! [X0] :
( ~ v1_finset_1(X0)
| m2_subset_1(sK204(X0),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f8547]) ).
fof(f9768,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,[],[f8547]) ).
fof(f9769,plain,
! [X0] :
( ~ v1_finset_1(X0)
| v1_finset_1(k1_card_1(X0)) ),
inference(cnf_transformation,[],[f8548]) ).
fof(f9770,plain,
! [X0] :
( ~ v1_finset_1(k1_card_1(X0))
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f8548]) ).
fof(f9772,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f6987]) ).
fof(f9773,plain,
v1_finset_1(sK205),
inference(cnf_transformation,[],[f8549]) ).
fof(f9774,plain,
v1_funct_1(sK205),
inference(cnf_transformation,[],[f8549]) ).
fof(f9775,plain,
v1_relat_1(sK205),
inference(cnf_transformation,[],[f8549]) ).
fof(f9776,plain,
~ v1_xboole_0(sK205),
inference(cnf_transformation,[],[f8549]) ).
fof(f9777,plain,
v1_finset_1(sK206),
inference(cnf_transformation,[],[f8550]) ).
fof(f9778,plain,
v2_funct_1(sK206),
inference(cnf_transformation,[],[f8550]) ).
fof(f9779,plain,
v1_funct_1(sK206),
inference(cnf_transformation,[],[f8550]) ).
fof(f9780,plain,
v1_relat_1(sK206),
inference(cnf_transformation,[],[f8550]) ).
fof(f9781,plain,
v1_xboole_0(sK206),
inference(cnf_transformation,[],[f8550]) ).
fof(f9783,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f6988]) ).
fof(f9784,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_finset_1(sK207(X0)) ),
inference(cnf_transformation,[],[f8551]) ).
fof(f9785,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK207(X0)) ),
inference(cnf_transformation,[],[f8551]) ).
fof(f9786,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK207(X0),k5_finsub_1(X0)) ),
inference(cnf_transformation,[],[f8551]) ).
fof(f9787,plain,
! [X0] : v1_finset_1(sK208(X0)),
inference(cnf_transformation,[],[f8552]) ).
fof(f9788,plain,
! [X0] : v1_xboole_0(sK208(X0)),
inference(cnf_transformation,[],[f8552]) ).
fof(f9789,plain,
! [X0] : m1_subset_1(sK208(X0),k5_finsub_1(X0)),
inference(cnf_transformation,[],[f8552]) ).
fof(f9790,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,[],[f6991]) ).
fof(f9792,plain,
! [X0] :
( ~ v1_finset_1(X0)
| k1_zfmisc_1(X0) = k5_finsub_1(X0) ),
inference(cnf_transformation,[],[f6993]) ).
fof(f9793,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| v1_finset_1(X1) ),
inference(cnf_transformation,[],[f6994]) ).
fof(f9794,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finset_1(k1_relat_1(X0))
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f8553]) ).
fof(f9795,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finset_1(X0)
| v1_finset_1(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f8553]) ).
fof(f9796,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,[],[f6998]) ).
fof(f9797,plain,
! [X0] :
( ~ v1_finset_1(X0)
| v1_finset_1(k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f8554]) ).
fof(f9798,plain,
! [X0] :
( ~ v1_finset_1(k1_zfmisc_1(X0))
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f8554]) ).
fof(f9799,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X0,X1))
| v1_finset_1(X1)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f7000]) ).
fof(f9800,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X1,X0))
| v1_finset_1(X1)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f7002]) ).
fof(f9802,plain,
! [X3,X0,X1] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r1_tarski(sK209(X1),X3)
| ~ r2_hidden(X3,X1)
| sK209(X1) = X3
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f8555]) ).
fof(f9803,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| r2_hidden(sK209(X1),X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f8555]) ).
fof(f9805,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ r1_tarski(X0,X1)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f7009]) ).
fof(f9806,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_finset_1(sK210(X0)) ),
inference(cnf_transformation,[],[f8556]) ).
fof(f9807,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK210(X0)) ),
inference(cnf_transformation,[],[f8556]) ).
fof(f9808,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK210(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f8556]) ).
fof(f9809,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f7012]) ).
fof(f9811,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| v1_finset_1(k3_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7014]) ).
fof(f9813,plain,
! [X0,X1] : v1_finset_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f2319]) ).
fof(f9815,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_finset_1(sK211(X0)) ),
inference(cnf_transformation,[],[f8557]) ).
fof(f9816,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK211(X0)) ),
inference(cnf_transformation,[],[f8557]) ).
fof(f9817,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK211(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f8557]) ).
fof(f9820,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f7017]) ).
fof(f9821,plain,
v1_finset_1(sK212),
inference(cnf_transformation,[],[f8558]) ).
fof(f9822,plain,
~ v1_xboole_0(sK212),
inference(cnf_transformation,[],[f8558]) ).
fof(f9823,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,[],[f7019]) ).
fof(f9824,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,[],[f7021]) ).
fof(f9825,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,[],[f8559]) ).
fof(f9826,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,[],[f8559]) ).
fof(f9827,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,[],[f7025]) ).
fof(f9830,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,[],[f7029]) ).
fof(f9831,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,[],[f7031]) ).
fof(f9832,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,[],[f8560]) ).
fof(f9833,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,[],[f8560]) ).
fof(f9834,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,[],[f7035]) ).
fof(f9835,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,[],[f7037]) ).
fof(f9836,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,[],[f7039]) ).
fof(f9837,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,[],[f7041]) ).
fof(f9838,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,[],[f7043]) ).
fof(f9839,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK213(X0,X1),u1_struct_0(X0))
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f8561]) ).
fof(f9840,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK213(X0,X1) != k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,sK213(X0,X1))
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f8561]) ).
fof(f9841,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK214(X0,X1),u1_struct_0(X0))
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f8562]) ).
fof(f9842,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK214(X0,X1) != k3_lattices(X0,X1,sK214(X0,X1))
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f8562]) ).
fof(f9843,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7049]) ).
fof(f9844,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,[],[f7051]) ).
fof(f9845,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,[],[f7053]) ).
fof(f9846,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,[],[f7055]) ).
fof(f9847,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| m1_subset_1(sK215(X0,X1),X0)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f8563]) ).
fof(f9848,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| r2_hidden(sK215(X0,X1),X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f8563]) ).
fof(f9849,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,[],[f7058]) ).
fof(f9850,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,[],[f7059]) ).
fof(f9851,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f7060]) ).
fof(f9852,plain,
k1_tarski(k1_xboole_0) = k5_finsub_1(k1_xboole_0),
inference(cnf_transformation,[],[f2409]) ).
fof(f9853,plain,
! [X0] : r1_tarski(k5_finsub_1(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f2407]) ).
fof(f9854,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(f9855,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k5_finsub_1(X0),k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f7061]) ).
fof(f9856,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,[],[f7062]) ).
fof(f9857,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,[],[f7063]) ).
fof(f9858,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k3_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7064]) ).
fof(f9860,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X0,k2_zfmisc_1(X3,X4))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2))
| r2_hidden(X0,k2_zfmisc_1(k3_xboole_0(X1,X3),k3_xboole_0(X2,X4))) ),
inference(cnf_transformation,[],[f7068]) ).
fof(f9861,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,[],[f7070]) ).
fof(f9862,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(f9865,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(f9866,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k1_tarski(X0) = k3_xboole_0(X1,k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7071]) ).
fof(f9867,plain,
! [X0,X1] :
( k1_tarski(X1) != k3_xboole_0(X0,k1_tarski(X1))
| r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f7072]) ).
fof(f9868,plain,
! [X0,X1] :
( k1_tarski(X0) != k3_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f7073]) ).
fof(f9870,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k3_xboole_0(X0,X1) = X0 ),
inference(cnf_transformation,[],[f7075]) ).
fof(f9871,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,[],[f7077]) ).
fof(f9872,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k3_xboole_0(X0,X2),k3_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f7078]) ).
fof(f9873,plain,
! [X2,X0,X1] :
( r1_tarski(sK216(X0,X1,X2),X2)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| k3_xboole_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f8564]) ).
fof(f9874,plain,
! [X2,X0,X1] :
( r1_tarski(sK216(X0,X1,X2),X1)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| k3_xboole_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f8564]) ).
fof(f9875,plain,
! [X2,X0,X1] :
( ~ r1_tarski(sK216(X0,X1,X2),X0)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| k3_xboole_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f8564]) ).
fof(f9876,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,k3_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f7082]) ).
fof(f9880,plain,
! [X0] : k1_xboole_0 = k3_xboole_0(X0,k1_xboole_0),
inference(cnf_transformation,[],[f63]) ).
fof(f9882,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f9883,plain,
! [X2,X0,X1,X4] :
( k3_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X2)
| r2_hidden(X4,X1) ),
inference(cnf_transformation,[],[f8568]) ).
fof(f9885,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,[],[f8568]) ).
fof(f9886,plain,
! [X2,X0,X1] :
( r2_hidden(sK217(X0,X1,X2),X2)
| r2_hidden(sK217(X0,X1,X2),X1)
| k3_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8568]) ).
fof(f9887,plain,
! [X2,X0,X1] :
( r2_hidden(sK217(X0,X1,X2),X2)
| r2_hidden(sK217(X0,X1,X2),X0)
| k3_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8568]) ).
fof(f9888,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK217(X0,X1,X2),X2)
| ~ r2_hidden(sK217(X0,X1,X2),X1)
| ~ r2_hidden(sK217(X0,X1,X2),X0)
| k3_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8568]) ).
fof(f9889,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v14_lattices(X0) ),
inference(cnf_transformation,[],[f7085]) ).
fof(f9890,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,[],[f7087]) ).
fof(f9891,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK218(X0,X1),u1_struct_0(X0))
| k6_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f8569]) ).
fof(f9892,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK218(X0,X1) != k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,sK218(X0,X1))
| k6_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f8569]) ).
fof(f9895,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,[],[f7095]) ).
fof(f9896,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,[],[f7097]) ).
fof(f9897,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,[],[f7097]) ).
fof(f9900,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f7097]) ).
fof(f9901,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,[],[f7099]) ).
fof(f9902,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,[],[f7099]) ).
fof(f9905,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f7099]) ).
fof(f9906,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,[],[f7100]) ).
fof(f9907,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,[],[f7100]) ).
fof(f9908,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f7100]) ).
fof(f9909,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK219(X0,X1),u1_struct_0(X0))
| k6_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f8570]) ).
fof(f9910,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK219(X0,X1) != k4_lattices(X0,X1,sK219(X0,X1))
| k6_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f8570]) ).
fof(f9911,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,[],[f7104]) ).
fof(f9912,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,[],[f7106]) ).
fof(f9914,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7110]) ).
fof(f9915,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,[],[f7112]) ).
fof(f9916,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,[],[f7114]) ).
fof(f9917,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,[],[f7116]) ).
fof(f9918,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,[],[f8573]) ).
fof(f9919,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(sK220(X0,X1),X0)
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8573]) ).
fof(f9920,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(sK221(X0,X1),X0)
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8573]) ).
fof(f9921,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,sK220(X0,X1),sK221(X0,X1)) != k2_binop_1(X0,X0,X0,X1,sK221(X0,X1),sK220(X0,X1))
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8573]) ).
fof(f9922,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,[],[f7120]) ).
fof(f9923,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,[],[f7120]) ).
fof(f9925,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,[],[f7120]) ).
fof(f9927,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,[],[f8576]) ).
fof(f9928,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(sK222(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8576]) ).
fof(f9929,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(sK223(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8576]) ).
fof(f9930,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(sK224(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8576]) ).
fof(f9931,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,sK222(X0,X1),k2_binop_1(X0,X0,X0,X1,sK223(X0,X1),sK224(X0,X1))) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,sK222(X0,X1),sK223(X0,X1)),sK224(X0,X1))
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8576]) ).
fof(f9932,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(sK225(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,[],[f8578]) ).
fof(f9933,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(sK226(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,[],[f8578]) ).
fof(f9934,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,sK225(X1,X2,X3,X4,X6),sK226(X1,X2,X3,X4,X6))) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,sK225(X1,X2,X3,X4,X6)),k8_funct_2(X1,X3,X6,sK226(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,[],[f8578]) ).
fof(f9935,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,[],[f7126]) ).
fof(f9936,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,[],[f7128]) ).
fof(f9937,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(sK227(X0,X1,X3,X4,X5),X1)
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f8579]) ).
fof(f9938,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(sK227(X0,X1,X3,X4,X5),X3)
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f8579]) ).
fof(f9939,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,sK227(X0,X1,X3,X4,X5)) != X5
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f8579]) ).
fof(f9940,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,[],[f7132]) ).
fof(f9941,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,[],[f7134]) ).
fof(f9942,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,[],[f7136]) ).
fof(f9943,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,[],[f7138]) ).
fof(f9944,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,[],[f8582]) ).
fof(f9945,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(sK228(X0,X1),X0)
| v3_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8582]) ).
fof(f9946,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)
| sK228(X0,X1) != k2_binop_1(X0,X0,X0,X1,sK228(X0,X1),sK228(X0,X1))
| v3_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8582]) ).
fof(f9947,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,[],[f8585]) ).
fof(f9948,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(sK229(X0,X1),X0)
| v3_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8585]) ).
fof(f9949,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)
| sK229(X0,X1) != k1_binop_1(X1,sK229(X0,X1),sK229(X0,X1))
| v3_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8585]) ).
fof(f9950,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,[],[f7144]) ).
fof(f9951,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,[],[f7146]) ).
fof(f9952,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,[],[f7148]) ).
fof(f9953,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,[],[f7148]) ).
fof(f9954,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,[],[f7148]) ).
fof(f9955,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,[],[f7148]) ).
fof(f9960,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)
| sP6(X4,X3,X2,X1,X0)
| m1_subset_1(sK231(X0,X1,X2,X3,X4),X0) ),
inference(cnf_transformation,[],[f8589]) ).
fof(f9961,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)
| sP6(X4,X3,X2,X1,X0)
| m1_subset_1(sK232(X0,X1,X2,X3,X4),X0) ),
inference(cnf_transformation,[],[f8589]) ).
fof(f9962,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)
| sP6(X4,X3,X2,X1,X0)
| k8_funct_2(X0,X1,X3,sK231(X0,X1,X2,X3,X4)) = k8_funct_2(X0,X1,X3,sK232(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f8589]) ).
fof(f9963,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)
| sP6(X4,X3,X2,X1,X0)
| k8_funct_2(X0,X2,X4,sK231(X0,X1,X2,X3,X4)) != k8_funct_2(X0,X2,X4,sK232(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f8589]) ).
fof(f9964,plain,
! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X1,X2)
| m2_cat_1(k7_funct_2(u2_cat_1(X0),u2_cat_1(X1),u2_cat_1(X2),X3,X4),X0,X2) ),
inference(cnf_transformation,[],[f7152]) ).
fof(f9965,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(sK233(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,[],[f8590]) ).
fof(f9966,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(sK234(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,[],[f8590]) ).
fof(f9967,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,sK233(X0,X2,X3,X6),sK234(X0,X2,X3,X6))) != k2_binop_1(X0,X0,X0,X3,k8_funct_2(k5_finsub_1(X2),X0,X6,sK233(X0,X2,X3,X6)),k8_funct_2(k5_finsub_1(X2),X0,X6,sK234(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,[],[f8590]) ).
fof(f9968,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,[],[f7156]) ).
fof(f9969,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,[],[f7158]) ).
fof(f9970,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,[],[f7158]) ).
fof(f9971,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,[],[f7158]) ).
fof(f9972,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,[],[f7160]) ).
fof(f9973,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(sK235(X0,X1,X2,X3,X4),X0)
| X3 = X4 ),
inference(cnf_transformation,[],[f8591]) ).
fof(f9974,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(sK236(X0,X1,X2,X3,X4),X1)
| X3 = X4 ),
inference(cnf_transformation,[],[f8591]) ).
fof(f9975,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,sK235(X0,X1,X2,X3,X4),sK236(X0,X1,X2,X3,X4)) != k2_binop_1(X0,X1,X2,X4,sK235(X0,X1,X2,X3,X4),sK236(X0,X1,X2,X3,X4))
| X3 = X4 ),
inference(cnf_transformation,[],[f8591]) ).
fof(f9976,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,[],[f7164]) ).
fof(f9977,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,[],[f7166]) ).
fof(f9978,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,[],[f7168]) ).
fof(f9979,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,[],[f7170]) ).
fof(f9980,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,[],[f7172]) ).
fof(f9981,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,[],[f7174]) ).
fof(f9982,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,[],[f7176]) ).
fof(f9983,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,[],[f7178]) ).
fof(f9984,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,[],[f7180]) ).
fof(f9985,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k1_tarski(X1) = k2_setwiseo(X0,X1) ),
inference(cnf_transformation,[],[f7182]) ).
fof(f9986,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,[],[f7184]) ).
fof(f9987,plain,
! [X0,X1] : v1_funct_2(sK237(X0,X1),X0,X1),
inference(cnf_transformation,[],[f8592]) ).
fof(f9988,plain,
! [X0,X1] : v1_funct_1(sK237(X0,X1)),
inference(cnf_transformation,[],[f8592]) ).
fof(f9989,plain,
! [X0,X1] : v1_relat_1(sK237(X0,X1)),
inference(cnf_transformation,[],[f8592]) ).
fof(f9990,plain,
! [X0,X1] : m1_relset_1(sK237(X0,X1),X0,X1),
inference(cnf_transformation,[],[f8592]) ).
fof(f9991,plain,
! [X0,X1] : v1_funct_1(sK238(X0,X1)),
inference(cnf_transformation,[],[f8593]) ).
fof(f9992,plain,
! [X0,X1] : v1_relat_1(sK238(X0,X1)),
inference(cnf_transformation,[],[f8593]) ).
fof(f9993,plain,
! [X0,X1] : m1_relset_1(sK238(X0,X1),X0,X1),
inference(cnf_transformation,[],[f8593]) ).
fof(f9994,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8594]) ).
fof(f9995,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8594]) ).
fof(f9996,plain,
! [X0,X1] : m1_relset_1(sK239(X0,X1),X0,X1),
inference(cnf_transformation,[],[f8595]) ).
fof(f9997,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| r1_tarski(X2,k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f8596]) ).
fof(f9998,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8596]) ).
fof(f9999,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,[],[f7186]) ).
fof(f10000,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,[],[f7188]) ).
fof(f10001,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(sK240(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f8597]) ).
fof(f10002,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(sK240(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f8597]) ).
fof(f10003,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(sK240(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f8597]) ).
fof(f10004,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(sK240(X0,X1)) ),
inference(cnf_transformation,[],[f8597]) ).
fof(f10005,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(sK240(X0,X1)) ),
inference(cnf_transformation,[],[f8597]) ).
fof(f10006,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(sK240(X0,X1)) ),
inference(cnf_transformation,[],[f8597]) ).
fof(f10007,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(sK240(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f8597]) ).
fof(f10008,plain,
! [X0] :
( ~ v1_int_1(X0)
| ~ r1_xreal_0(np__0,X0)
| r2_hidden(X0,k5_numbers) ),
inference(cnf_transformation,[],[f7192]) ).
fof(f10009,plain,
! [X0] :
( ~ v1_int_1(X0)
| v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f7193]) ).
fof(f10010,plain,
! [X0] :
( ~ v1_int_1(X0)
| v1_xcmplx_0(X0) ),
inference(cnf_transformation,[],[f7193]) ).
fof(f10011,plain,
v1_int_1(sK241),
inference(cnf_transformation,[],[f8598]) ).
fof(f10012,plain,
v1_int_1(sK242),
inference(cnf_transformation,[],[f8599]) ).
fof(f10013,plain,
v1_xreal_0(sK242),
inference(cnf_transformation,[],[f8599]) ).
fof(f10014,plain,
v1_xcmplx_0(sK242),
inference(cnf_transformation,[],[f8599]) ).
fof(f10015,plain,
m1_subset_1(sK242,k1_numbers),
inference(cnf_transformation,[],[f8599]) ).
fof(f10016,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,[],[f7195]) ).
fof(f10017,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,[],[f7197]) ).
fof(f10019,plain,
! [X0] :
( np__0 != k1_card_1(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8600]) ).
fof(f10020,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f3179]) ).
fof(f10021,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,[],[f8601]) ).
fof(f10022,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,[],[f8601]) ).
fof(f10023,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| m2_subset_1(sK243(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f8602]) ).
fof(f10024,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,[],[f7203]) ).
fof(f10025,plain,
m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)),
inference(cnf_transformation,[],[f2673]) ).
fof(f10026,plain,
k1_numbers != k5_numbers,
inference(cnf_transformation,[],[f2667]) ).
fof(f10027,plain,
r1_tarski(k5_numbers,k1_numbers),
inference(cnf_transformation,[],[f2657]) ).
fof(f10029,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)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X3,k3_group_1(X0,X2)) = k3_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X3,X2)) ),
inference(cnf_transformation,[],[f7205]) ).
fof(f10030,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7207]) ).
fof(f10031,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))
| k6_group_1(X1,X0,k3_group_1(X1,X2)) = k3_group_1(X1,k6_group_1(X1,X0,X2)) ),
inference(cnf_transformation,[],[f7209]) ).
fof(f10032,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,X0,k3_group_1(X1,X2)) = k3_group_1(X1,k6_group_1(X1,X0,X2)) ),
inference(cnf_transformation,[],[f7211]) ).
fof(f10033,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__2,X1)
| k3_group_1(X0,X1) = X1 ),
inference(cnf_transformation,[],[f8603]) ).
fof(f10034,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))
| k3_group_1(X0,X1) != X1
| k2_group_1(X0) = k6_group_1(X0,np__2,X1) ),
inference(cnf_transformation,[],[f8603]) ).
fof(f10035,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) != k1_group_1(X0,X2,X1)
| k1_group_1(X0,X1,k3_group_1(X0,X2)) = k1_group_1(X0,k3_group_1(X0,X2),X1) ),
inference(cnf_transformation,[],[f8604]) ).
fof(f10036,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,k3_group_1(X0,X2)) != k1_group_1(X0,k3_group_1(X0,X2),X1)
| k1_group_1(X0,X1,X2) = k1_group_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8604]) ).
fof(f10037,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) != k1_group_1(X0,X2,X1)
| k1_group_1(X0,k3_group_1(X0,X2),k3_group_1(X0,X1)) = k1_group_1(X0,k3_group_1(X0,X1),k3_group_1(X0,X2)) ),
inference(cnf_transformation,[],[f8605]) ).
fof(f10038,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,k3_group_1(X0,X2),k3_group_1(X0,X1)) != k1_group_1(X0,k3_group_1(X0,X1),k3_group_1(X0,X2))
| k1_group_1(X0,X1,X2) = k1_group_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8605]) ).
fof(f10039,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) != k1_group_1(X0,X2,X1)
| k3_group_1(X0,k1_group_1(X0,X1,X2)) = k1_group_1(X0,k3_group_1(X0,X1),k3_group_1(X0,X2)) ),
inference(cnf_transformation,[],[f8606]) ).
fof(f10040,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,k1_group_1(X0,X1,X2)) != k1_group_1(X0,k3_group_1(X0,X1),k3_group_1(X0,X2))
| k1_group_1(X0,X1,X2) = k1_group_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8606]) ).
fof(f10041,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,k1_group_1(X0,X1,X2)) = k1_group_1(X0,k3_group_1(X0,X2),k3_group_1(X0,X1)) ),
inference(cnf_transformation,[],[f7221]) ).
fof(f10042,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) != X3
| k1_group_1(X0,X3,k3_group_1(X0,X2)) = X1 ),
inference(cnf_transformation,[],[f8607]) ).
fof(f10043,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,X3,k3_group_1(X0,X2)) != X1
| k1_group_1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f8607]) ).
fof(f10044,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) != X3
| k1_group_1(X0,k3_group_1(X0,X1),X3) = X2 ),
inference(cnf_transformation,[],[f8608]) ).
fof(f10045,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,k3_group_1(X0,X1),X3) != X2
| k1_group_1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f8608]) ).
fof(f10046,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))
| k3_group_1(X0,k3_group_1(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f7227]) ).
fof(f10047,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) != k3_group_1(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f7229]) ).
fof(f10048,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,[],[f8611]) ).
fof(f10049,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(sK244(X0,X1,X2),X0)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8611]) ).
fof(f10050,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(sK245(X0,X1,X2),X0)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8611]) ).
fof(f10051,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(sK246(X0,X1,X2),X0)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8611]) ).
fof(f10052,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(sK247(X0,X1,X2),X0)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8611]) ).
fof(f10053,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,sK246(X0,X1,X2),sK247(X0,X1,X2)),X1)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8611]) ).
fof(f10054,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,sK244(X0,X1,X2),sK245(X0,X1,X2)),X1)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8611]) ).
fof(f10055,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,sK244(X0,X1,X2),sK246(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK245(X0,X1,X2),sK247(X0,X1,X2))),X1)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8611]) ).
fof(f10056,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,[],[f7233]) ).
fof(f10057,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,[],[f7235]) ).
fof(f10058,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,[],[f7237]) ).
fof(f10059,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,[],[f7239]) ).
fof(f10060,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,[],[f7241]) ).
fof(f10061,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,[],[f7241]) ).
fof(f10062,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,[],[f7241]) ).
fof(f10063,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,[],[f7243]) ).
fof(f10064,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,[],[f8613]) ).
fof(f10065,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,[],[f8613]) ).
fof(f10066,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,[],[f8613]) ).
fof(f10067,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,[],[f8615]) ).
fof(f10068,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,[],[f8615]) ).
fof(f10069,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,[],[f8615]) ).
fof(f10070,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,[],[f8617]) ).
fof(f10071,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,[],[f8617]) ).
fof(f10072,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,[],[f8617]) ).
fof(f10073,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,[],[f7251]) ).
fof(f10074,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,[],[f8620]) ).
fof(f10075,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK248(X0),u1_struct_0(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8620]) ).
fof(f10076,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK249(X0),u1_struct_0(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8620]) ).
fof(f10077,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| k1_binop_1(u1_rlvect_1(X0),sK248(X0),sK249(X0)) != k1_binop_1(u1_rlvect_1(X0),sK249(X0),sK248(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8620]) ).
fof(f10078,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,[],[f8623]) ).
fof(f10079,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK250(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8623]) ).
fof(f10080,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK251(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8623]) ).
fof(f10081,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK252(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8623]) ).
fof(f10082,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),sK250(X0),sK251(X0)),sK252(X0)) != k1_binop_1(u1_rlvect_1(X0),sK250(X0),k1_binop_1(u1_rlvect_1(X0),sK251(X0),sK252(X0)))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8623]) ).
fof(f10083,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,[],[f7257]) ).
fof(f10084,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,[],[f8626]) ).
fof(f10085,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,[],[f8626]) ).
fof(f10086,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(sK253(X0,X1,X2),X0)
| r6_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f8626]) ).
fof(f10087,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(sK254(X0,X1,X2),X0)
| r6_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f8626]) ).
fof(f10088,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(sK255(X0,X1,X2),X0)
| r6_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f8626]) ).
fof(f10089,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,sK253(X0,X1,X2),sK254(X0,X1,X2)),sK255(X0,X1,X2)) != k1_binop_1(X2,k1_binop_1(X1,sK253(X0,X1,X2),sK255(X0,X1,X2)),k1_binop_1(X1,sK254(X0,X1,X2),sK255(X0,X1,X2)))
| k1_binop_1(X1,sK253(X0,X1,X2),k1_binop_1(X2,sK254(X0,X1,X2),sK255(X0,X1,X2))) != k1_binop_1(X2,k1_binop_1(X1,sK253(X0,X1,X2),sK254(X0,X1,X2)),k1_binop_1(X1,sK253(X0,X1,X2),sK255(X0,X1,X2)))
| r6_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f8626]) ).
fof(f10090,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,[],[f8629]) ).
fof(f10091,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(sK256(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8629]) ).
fof(f10092,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(sK257(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8629]) ).
fof(f10093,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(sK258(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8629]) ).
fof(f10094,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,sK256(X0,X1),k1_binop_1(X1,sK257(X0,X1),sK258(X0,X1))) != k1_binop_1(X1,k1_binop_1(X1,sK256(X0,X1),sK257(X0,X1)),sK258(X0,X1))
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8629]) ).
fof(f10095,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,[],[f8632]) ).
fof(f10096,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(sK259(X0,X1),X0)
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8632]) ).
fof(f10097,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(sK260(X0,X1),X0)
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8632]) ).
fof(f10098,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,sK259(X0,X1),sK260(X0,X1)) != k1_binop_1(X1,sK260(X0,X1),sK259(X0,X1))
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f8632]) ).
fof(f10099,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,[],[f7265]) ).
fof(f10100,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,[],[f7267]) ).
fof(f10101,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,[],[f7267]) ).
fof(f10102,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,[],[f7269]) ).
fof(f10103,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,[],[f7270]) ).
fof(f10104,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,[],[f7271]) ).
fof(f10105,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,[],[f7272]) ).
fof(f10106,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,[],[f7274]) ).
fof(f10107,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,[],[f7276]) ).
fof(f10108,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,[],[f7278]) ).
fof(f10109,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ~ v1_int_1(X0)
| v1_int_1(k6_xcmplx_0(X0,np__1)) ),
inference(cnf_transformation,[],[f7280]) ).
fof(f10110,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ~ v1_int_1(X0)
| v1_int_1(k2_xcmplx_0(X0,np__1)) ),
inference(cnf_transformation,[],[f7280]) ).
fof(f10111,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| v1_int_1(k2_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f7282]) ).
fof(f10112,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| v1_xreal_0(k2_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f7282]) ).
fof(f10113,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| v1_xcmplx_0(k2_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f7282]) ).
fof(f10114,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_int_1(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f7284]) ).
fof(f10115,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f7284]) ).
fof(f10116,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f7284]) ).
fof(f10117,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,[],[f7286]) ).
fof(f10118,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,[],[f7286]) ).
fof(f10121,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,[],[f7286]) ).
fof(f10122,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,[],[f7288]) ).
fof(f10123,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,[],[f7288]) ).
fof(f10126,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,[],[f7288]) ).
fof(f10127,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,[],[f7290]) ).
fof(f10128,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,[],[f7290]) ).
fof(f10131,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,[],[f7290]) ).
fof(f10132,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,[],[f7292]) ).
fof(f10133,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,[],[f7292]) ).
fof(f10136,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,[],[f7292]) ).
fof(f10137,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,[],[f7294]) ).
fof(f10140,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,[],[f7296]) ).
fof(f10143,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v1_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f7298]) ).
fof(f10144,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f7298]) ).
fof(f10145,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,[],[f7300]) ).
fof(f10147,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,[],[f7300]) ).
fof(f10148,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,[],[f7302]) ).
fof(f10149,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,[],[f7304]) ).
fof(f10150,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,[],[f7306]) ).
fof(f10151,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,[],[f7308]) ).
fof(f10152,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,[],[f7310]) ).
fof(f10153,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,[],[f7312]) ).
fof(f10154,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,[],[f7314]) ).
fof(f10155,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,[],[f7316]) ).
fof(f10156,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,[],[f7318]) ).
fof(f10157,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,[],[f7320]) ).
fof(f10158,plain,
! [X0] :
( ~ sP8(X0)
| ~ v2_funct_1(X0)
| sP7(X0) ),
inference(cnf_transformation,[],[f8633]) ).
fof(f10159,plain,
! [X0] :
( ~ sP8(X0)
| ~ sP7(X0)
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f8633]) ).
fof(f10170,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| sP8(X0) ),
inference(cnf_transformation,[],[f8265]) ).
fof(f10171,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,[],[f7324]) ).
fof(f10172,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,[],[f7324]) ).
fof(f10173,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,[],[f7326]) ).
fof(f10174,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,[],[f7328]) ).
fof(f10175,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(sK263(X0,X1))
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f8637]) ).
fof(f10176,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_relat_1(sK263(X0,X1))
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f8637]) ).
fof(f10177,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(sK264(X0,X1))
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f8637]) ).
fof(f10178,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_relat_1(sK264(X0,X1))
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f8637]) ).
fof(f10179,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k5_relat_1(X1,sK263(X0,X1)) = k5_relat_1(X1,sK264(X0,X1))
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f8637]) ).
fof(f10180,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(sK264(X0,X1)) = X0
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f8637]) ).
fof(f10181,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(sK263(X0,X1)) = X0
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f8637]) ).
fof(f10182,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| sK263(X0,X1) != sK264(X0,X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f8637]) ).
fof(f10183,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,[],[f7332]) ).
fof(f10184,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,[],[f7334]) ).
fof(f10185,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,[],[f7336]) ).
fof(f10186,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,[],[f7338]) ).
fof(f10187,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,[],[f8639]) ).
fof(f10188,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,[],[f8639]) ).
fof(f10189,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,[],[f8639]) ).
fof(f10190,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(sK266(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK265(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X0,sK265(X0,X1,X2)),k1_relat_1(X1))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8642]) ).
fof(f10191,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,sK266(X0,X1,X2)) != k1_funct_1(X1,k1_funct_1(X0,sK266(X0,X1,X2)))
| r2_hidden(sK265(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X0,sK265(X0,X1,X2)),k1_relat_1(X1))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8642]) ).
fof(f10192,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(sK266(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK265(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK265(X0,X1,X2),k1_relat_1(X0))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8642]) ).
fof(f10193,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,sK266(X0,X1,X2)) != k1_funct_1(X1,k1_funct_1(X0,sK266(X0,X1,X2)))
| r2_hidden(sK265(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK265(X0,X1,X2),k1_relat_1(X0))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8642]) ).
fof(f10194,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(sK266(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(sK265(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,sK265(X0,X1,X2)),k1_relat_1(X1))
| ~ r2_hidden(sK265(X0,X1,X2),k1_relat_1(X0))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8642]) ).
fof(f10195,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,sK266(X0,X1,X2)) != k1_funct_1(X1,k1_funct_1(X0,sK266(X0,X1,X2)))
| ~ r2_hidden(sK265(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,sK265(X0,X1,X2)),k1_relat_1(X1))
| ~ r2_hidden(sK265(X0,X1,X2),k1_relat_1(X0))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8642]) ).
fof(f10196,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,[],[f7344]) ).
fof(f10198,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k5_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f7346]) ).
fof(f10199,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,[],[f7347]) ).
fof(f10200,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,[],[f7348]) ).
fof(f10201,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,[],[f7349]) ).
fof(f10202,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,[],[f7350]) ).
fof(f10203,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,[],[f7351]) ).
fof(f10204,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,[],[f7352]) ).
fof(f10205,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,[],[f7353]) ).
fof(f10206,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,[],[f7355]) ).
fof(f10207,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 = k5_relat_1(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f7356]) ).
fof(f10208,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 = k5_relat_1(k1_xboole_0,X0) ),
inference(cnf_transformation,[],[f7356]) ).
fof(f10209,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,[],[f7357]) ).
fof(f10210,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,[],[f7358]) ).
fof(f10211,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,[],[f7360]) ).
fof(f10212,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,[],[f7362]) ).
fof(f10213,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,[],[f7364]) ).
fof(f10214,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,[],[f7366]) ).
fof(f10215,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,[],[f7368]) ).
fof(f10216,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,[],[f7369]) ).
fof(f10217,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,[],[f7370]) ).
fof(f10218,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(sK270(X0,X1,X7,X8),X8),X1) ),
inference(cnf_transformation,[],[f8645]) ).
fof(f10219,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,sK270(X0,X1,X7,X8)),X0) ),
inference(cnf_transformation,[],[f8645]) ).
fof(f10220,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,[],[f8645]) ).
fof(f10221,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK267(X0,X1,X2),sK268(X0,X1,X2)),X2)
| r2_hidden(k4_tarski(sK269(X0,X1,X2),sK268(X0,X1,X2)),X1)
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8645]) ).
fof(f10222,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK267(X0,X1,X2),sK268(X0,X1,X2)),X2)
| r2_hidden(k4_tarski(sK267(X0,X1,X2),sK269(X0,X1,X2)),X0)
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8645]) ).
fof(f10223,plain,
! [X2,X0,X1,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(sK267(X0,X1,X2),sK268(X0,X1,X2)),X2)
| ~ r2_hidden(k4_tarski(X5,sK268(X0,X1,X2)),X1)
| ~ r2_hidden(k4_tarski(sK267(X0,X1,X2),X5),X0)
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8645]) ).
fof(f10224,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| v1_relat_1(k5_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f7373]) ).
fof(f10225,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| v1_xboole_0(k5_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f7373]) ).
fof(f10226,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| v1_relat_1(k5_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f7375]) ).
fof(f10227,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| v1_xboole_0(k5_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f7375]) ).
fof(f10228,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,[],[f8646]) ).
fof(f10229,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,[],[f8646]) ).
fof(f10230,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,[],[f8647]) ).
fof(f10231,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,[],[f8647]) ).
fof(f10232,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| k1_card_1(X0) != k1_card_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f7379]) ).
fof(f10233,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| k1_card_1(X0) = X0 ),
inference(cnf_transformation,[],[f7380]) ).
fof(f10234,plain,
! [X0,X1] :
( k1_card_1(X0) != k1_card_1(k1_tarski(X1))
| k1_tarski(sK271(X0)) = X0 ),
inference(cnf_transformation,[],[f8650]) ).
fof(f10235,plain,
! [X2,X0,X1] :
( k1_tarski(X2) != X0
| k1_card_1(X0) = k1_card_1(k1_tarski(X1)) ),
inference(cnf_transformation,[],[f8650]) ).
fof(f10236,plain,
k1_xboole_0 = k1_card_1(k1_xboole_0),
inference(cnf_transformation,[],[f3175]) ).
fof(f10237,plain,
! [X0] : r2_hidden(k1_card_1(X0),k1_card_1(k1_zfmisc_1(X0))),
inference(cnf_transformation,[],[f3155]) ).
fof(f10238,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| r1_tarski(X0,k2_relat_1(sK272(X0,X1))) ),
inference(cnf_transformation,[],[f8653]) ).
fof(f10239,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| k1_relat_1(sK272(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f8653]) ).
fof(f10240,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| v1_funct_1(sK272(X0,X1)) ),
inference(cnf_transformation,[],[f8653]) ).
fof(f10241,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| v1_relat_1(sK272(X0,X1)) ),
inference(cnf_transformation,[],[f8653]) ).
fof(f10242,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,[],[f8653]) ).
fof(f10243,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f7381]) ).
fof(f10244,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| r1_tarski(k2_relat_1(sK273(X0,X1)),X1) ),
inference(cnf_transformation,[],[f8656]) ).
fof(f10245,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| k1_relat_1(sK273(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f8656]) ).
fof(f10246,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| v2_funct_1(sK273(X0,X1)) ),
inference(cnf_transformation,[],[f8656]) ).
fof(f10247,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| v1_funct_1(sK273(X0,X1)) ),
inference(cnf_transformation,[],[f8656]) ).
fof(f10248,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| v1_relat_1(sK273(X0,X1)) ),
inference(cnf_transformation,[],[f8656]) ).
fof(f10249,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,[],[f8656]) ).
fof(f10250,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,[],[f8659]) ).
fof(f10251,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(sK274(X0,X1,X2),X0)
| v2_funct_1(X2) ),
inference(cnf_transformation,[],[f8659]) ).
fof(f10252,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(sK275(X0,X1,X2),X0)
| v2_funct_1(X2) ),
inference(cnf_transformation,[],[f8659]) ).
fof(f10253,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,sK274(X0,X1,X2)) = k8_funct_2(X0,X1,X2,sK275(X0,X1,X2))
| v2_funct_1(X2) ),
inference(cnf_transformation,[],[f8659]) ).
fof(f10254,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)
| sK274(X0,X1,X2) != sK275(X0,X1,X2)
| v2_funct_1(X2) ),
inference(cnf_transformation,[],[f8659]) ).
fof(f10255,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,[],[f7385]) ).
fof(f10256,plain,
v1_finseq_1(sK276),
inference(cnf_transformation,[],[f8660]) ).
fof(f10257,plain,
v1_finset_1(sK276),
inference(cnf_transformation,[],[f8660]) ).
fof(f10258,plain,
v2_funct_1(sK276),
inference(cnf_transformation,[],[f8660]) ).
fof(f10259,plain,
v1_funct_1(sK276),
inference(cnf_transformation,[],[f8660]) ).
fof(f10260,plain,
v1_relat_1(sK276),
inference(cnf_transformation,[],[f8660]) ).
fof(f10261,plain,
v1_xboole_0(sK276),
inference(cnf_transformation,[],[f8660]) ).
fof(f10263,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,[],[f8663]) ).
fof(f10264,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| k1_funct_1(X1,sK277(X0,X1)) = k1_funct_1(X1,sK278(X0,X1))
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f8663]) ).
fof(f10265,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| r2_hidden(sK278(X0,X1),X0)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f8663]) ).
fof(f10266,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| r2_hidden(sK277(X0,X1),X0)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f8663]) ).
fof(f10267,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| sK277(X0,X1) != sK278(X0,X1)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f8663]) ).
fof(f10273,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 = X1
| sP9(X0,X2) ),
inference(cnf_transformation,[],[f8267]) ).
fof(f10274,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 != X0
| sP9(X0,X2) ),
inference(cnf_transformation,[],[f8267]) ).
fof(f10275,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k1_tarski(X0),X1)
| ~ v1_funct_1(X2)
| v2_funct_1(X2) ),
inference(cnf_transformation,[],[f7393]) ).
fof(f10276,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f7395]) ).
fof(f10277,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f7397]) ).
fof(f10278,plain,
v1_xboole_0(sK281),
inference(cnf_transformation,[],[f8667]) ).
fof(f10279,plain,
v2_funct_1(sK281),
inference(cnf_transformation,[],[f8667]) ).
fof(f10280,plain,
v1_funct_1(sK281),
inference(cnf_transformation,[],[f8667]) ).
fof(f10281,plain,
v1_relat_1(sK281),
inference(cnf_transformation,[],[f8667]) ).
fof(f10282,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(sK283(X0,X3))) ),
inference(cnf_transformation,[],[f8670]) ).
fof(f10283,plain,
! [X2,X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k1_tarski(sK282(X0))),k1_tarski(X2))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f8670]) ).
fof(f10284,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,[],[f7401]) ).
fof(f10285,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k9_relat_1(X0,sK284(X0))),sK284(X0))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f8671]) ).
fof(f10286,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,[],[f7405]) ).
fof(f10287,plain,
! [X0,X4] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k1_tarski(X4) != k10_relat_1(X0,k1_tarski(sK286(X0)))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f8674]) ).
fof(f10288,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK286(X0),k2_relat_1(X0))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f8674]) ).
fof(f10289,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v2_funct_1(X0)
| k10_relat_1(X0,k1_tarski(X1)) = k1_tarski(sK285(X0,X1))
| ~ r2_hidden(X1,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f8674]) ).
fof(f10290,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,[],[f7409]) ).
fof(f10291,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,k4_xboole_0(sK287(X0),sK288(X0))) != k4_xboole_0(k9_relat_1(X0,sK287(X0)),k9_relat_1(X0,sK288(X0)))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f8675]) ).
fof(f10292,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,[],[f7413]) ).
fof(f10293,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,k3_xboole_0(sK289(X0),sK290(X0))) != k3_xboole_0(k9_relat_1(X0,sK289(X0)),k9_relat_1(X0,sK290(X0)))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f8676]) ).
fof(f10294,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,[],[f7417]) ).
fof(f10295,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,[],[f7419]) ).
fof(f10296,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,[],[f8679]) ).
fof(f10297,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k1_funct_1(X0,sK291(X0)) = k1_funct_1(X0,sK292(X0))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f8679]) ).
fof(f10298,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK292(X0),k1_relat_1(X0))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f8679]) ).
fof(f10299,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK291(X0),k1_relat_1(X0))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f8679]) ).
fof(f10300,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| sK291(X0) != sK292(X0)
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f8679]) ).
fof(f10301,plain,
v2_funct_1(sK293),
inference(cnf_transformation,[],[f8680]) ).
fof(f10302,plain,
v1_funct_1(sK293),
inference(cnf_transformation,[],[f8680]) ).
fof(f10303,plain,
v1_relat_1(sK293),
inference(cnf_transformation,[],[f8680]) ).
fof(f10304,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0)
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f7423]) ).
fof(f10309,plain,
! [X0,X1] :
( ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0)
| v1_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7427]) ).
fof(f10310,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,[],[f7429]) ).
fof(f10311,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,[],[f7431]) ).
fof(f10312,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,[],[f7431]) ).
fof(f10313,plain,
! [X2,X3,X0,X1] : v1_relat_1(k2_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3))),
inference(cnf_transformation,[],[f702]) ).
fof(f10314,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,[],[f7433]) ).
fof(f10315,plain,
! [X0,X1] : ~ v1_xboole_0(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f473]) ).
fof(f10318,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,[],[f8682]) ).
fof(f10320,plain,
! [X2,X0,X1] :
( k1_tarski(X2) != X0
| k1_xboole_0 = k4_xboole_0(X0,k2_tarski(X1,X2)) ),
inference(cnf_transformation,[],[f8682]) ).
fof(f10321,plain,
! [X2,X0,X1] :
( k1_tarski(X1) != X0
| k1_xboole_0 = k4_xboole_0(X0,k2_tarski(X1,X2)) ),
inference(cnf_transformation,[],[f8682]) ).
fof(f10323,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,[],[f7435]) ).
fof(f10324,plain,
! [X2,X0,X1] :
( k1_xboole_0 != k4_xboole_0(k2_tarski(X0,X1),X2)
| r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f8684]) ).
fof(f10325,plain,
! [X2,X0,X1] :
( k1_xboole_0 != k4_xboole_0(k2_tarski(X0,X1),X2)
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f8684]) ).
fof(f10326,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,[],[f8684]) ).
fof(f10327,plain,
! [X2,X0,X1] :
( k2_tarski(X0,X1) != k4_xboole_0(k2_tarski(X0,X1),X2)
| ~ r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f8686]) ).
fof(f10328,plain,
! [X2,X0,X1] :
( k2_tarski(X0,X1) != k4_xboole_0(k2_tarski(X0,X1),X2)
| ~ r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f8686]) ).
fof(f10329,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,[],[f8686]) ).
fof(f10330,plain,
! [X2,X0,X1] :
( k1_tarski(X0) != k4_xboole_0(k2_tarski(X0,X1),X2)
| X0 = X1
| r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f8688]) ).
fof(f10331,plain,
! [X2,X0,X1] :
( k1_tarski(X0) != k4_xboole_0(k2_tarski(X0,X1),X2)
| ~ r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f8688]) ).
fof(f10332,plain,
! [X2,X0,X1] :
( X0 != X1
| r2_hidden(X0,X2)
| k1_tarski(X0) = k4_xboole_0(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f8688]) ).
fof(f10333,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,[],[f8688]) ).
fof(f10334,plain,
! [X2,X0,X1] :
( k2_tarski(X0,X1) != k3_xboole_0(k2_tarski(X0,X1),X2)
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f7436]) ).
fof(f10335,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| k1_tarski(X0) = k3_xboole_0(k2_tarski(X0,X2),X1)
| X0 != X2 ),
inference(cnf_transformation,[],[f7438]) ).
fof(f10336,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,[],[f7438]) ).
fof(f10337,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ r2_hidden(X1,X2)
| k1_tarski(X0) != k3_xboole_0(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f7439]) ).
fof(f10338,plain,
! [X2,X0,X1] :
( r1_xboole_0(k2_tarski(X0,X2),X1)
| r2_hidden(X2,X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f7440]) ).
fof(f10339,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X2)
| ~ r1_xboole_0(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f7441]) ).
fof(f10340,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,[],[f7443]) ).
fof(f10341,plain,
! [X2,X0,X1] : k1_xboole_0 != k2_xboole_0(k2_tarski(X0,X1),X2),
inference(cnf_transformation,[],[f375]) ).
fof(f10342,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| k2_xboole_0(k2_tarski(X0,X2),X1) = X1 ),
inference(cnf_transformation,[],[f7445]) ).
fof(f10343,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_xboole_0(k2_tarski(X0,X1),X2),X2)
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f7446]) ).
fof(f10344,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,[],[f8690]) ).
fof(f10346,plain,
! [X2,X0,X1] :
( k1_tarski(X2) != X0
| r1_tarski(X0,k2_tarski(X1,X2)) ),
inference(cnf_transformation,[],[f8690]) ).
fof(f10349,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_tarski(X0,X1),X2)
| r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f8692]) ).
fof(f10350,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_tarski(X0,X1),X2)
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f8692]) ).
fof(f10351,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| r1_tarski(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f8692]) ).
fof(f10352,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(f10353,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(f10354,plain,
! [X0] : k1_zfmisc_1(k1_tarski(X0)) = k2_tarski(k1_xboole_0,k1_tarski(X0)),
inference(cnf_transformation,[],[f355]) ).
fof(f10355,plain,
! [X2,X3,X0,X1] :
( X0 = X3
| X0 = X2
| ~ r1_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3)) ),
inference(cnf_transformation,[],[f7448]) ).
fof(f10356,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_tarski(X0,X1),k1_tarski(X2))
| k2_tarski(X0,X1) = k1_tarski(X2) ),
inference(cnf_transformation,[],[f7449]) ).
fof(f10357,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_tarski(X0,X1),k1_tarski(X2))
| X0 = X2 ),
inference(cnf_transformation,[],[f7450]) ).
fof(f10359,plain,
! [X0,X1] :
( X0 = X1
| k1_tarski(X0) = k4_xboole_0(k2_tarski(X0,X1),k1_tarski(X1)) ),
inference(cnf_transformation,[],[f7452]) ).
fof(f10360,plain,
! [X0,X1] : k1_xboole_0 = k4_xboole_0(k1_tarski(X0),k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f347]) ).
fof(f10362,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_xboole_0(k1_tarski(X0),k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f339]) ).
fof(f10363,plain,
! [X0,X1] : r1_tarski(k1_tarski(X0),k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f337]) ).
fof(f10364,plain,
! [X2,X3,X0,X1] :
( X0 = X3
| X0 = X2
| k2_tarski(X0,X1) != k2_tarski(X2,X3) ),
inference(cnf_transformation,[],[f7453]) ).
fof(f10365,plain,
! [X2,X0,X1] :
( k1_tarski(X0) != k2_tarski(X1,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f7454]) ).
fof(f10366,plain,
! [X2,X0,X1] :
( k1_tarski(X0) != k2_tarski(X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f7455]) ).
fof(f10367,plain,
! [X0] : k1_tarski(X0) = k2_tarski(X0,X0),
inference(cnf_transformation,[],[f258]) ).
fof(f10368,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_xboole_0(k1_tarski(X0),k1_tarski(X1)),
inference(cnf_transformation,[],[f230]) ).
fof(f10369,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f21]) ).
fof(f10370,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f10371,plain,
! [X2,X0,X1,X4] :
( k2_tarski(X0,X1) != X2
| ~ r2_hidden(X4,X2)
| X1 = X4
| X0 = X4 ),
inference(cnf_transformation,[],[f8696]) ).
fof(f10372,plain,
! [X2,X0,X1,X4] :
( k2_tarski(X0,X1) != X2
| X1 != X4
| r2_hidden(X4,X2) ),
inference(cnf_transformation,[],[f8696]) ).
fof(f10373,plain,
! [X2,X0,X1,X4] :
( k2_tarski(X0,X1) != X2
| X0 != X4
| r2_hidden(X4,X2) ),
inference(cnf_transformation,[],[f8696]) ).
fof(f10374,plain,
! [X2,X0,X1] :
( r2_hidden(sK294(X0,X1,X2),X2)
| sK294(X0,X1,X2) = X1
| sK294(X0,X1,X2) = X0
| k2_tarski(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8696]) ).
fof(f10375,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK294(X0,X1,X2),X2)
| sK294(X0,X1,X2) != X1
| k2_tarski(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8696]) ).
fof(f10376,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK294(X0,X1,X2),X2)
| sK294(X0,X1,X2) != X0
| k2_tarski(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8696]) ).
fof(f10383,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)
| sP10(X1,X0) ),
inference(cnf_transformation,[],[f8703]) ).
fof(f10384,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,[],[f8703]) ).
fof(f10385,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)
| ~ sP10(X1,X0)
| m1_subset_1(sK297(X0,X1),u1_struct_0(X0))
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8703]) ).
fof(f10386,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)
| ~ sP10(X1,X0)
| m1_subset_1(sK298(X0,X1),u1_struct_0(X0))
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8703]) ).
fof(f10387,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)
| ~ sP10(X1,X0)
| r2_hidden(sK298(X0,X1),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8703]) ).
fof(f10388,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)
| ~ sP10(X1,X0)
| r2_hidden(sK297(X0,X1),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8703]) ).
fof(f10389,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)
| ~ sP10(X1,X0)
| ~ r2_hidden(k4_lattices(X0,sK297(X0,X1),sK298(X0,X1)),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8703]) ).
fof(f10390,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,[],[f7459]) ).
fof(f10391,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,[],[f7461]) ).
fof(f10392,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,[],[f7463]) ).
fof(f10393,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,[],[f7463]) ).
fof(f10394,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,[],[f7465]) ).
fof(f10395,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,[],[f7465]) ).
fof(f10396,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,[],[f7467]) ).
fof(f10397,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,[],[f7467]) ).
fof(f10398,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,[],[f7469]) ).
fof(f10399,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,[],[f7469]) ).
fof(f10400,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,[],[f7471]) ).
fof(f10401,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,[],[f7471]) ).
fof(f10402,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,[],[f7471]) ).
fof(f10403,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,[],[f7471]) ).
fof(f10404,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,[],[f8707]) ).
fof(f10405,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,[],[f8707]) ).
fof(f10406,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,[],[f8707]) ).
fof(f10407,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(sK299(X0,X1),u1_struct_0(X0))
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8707]) ).
fof(f10408,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(sK300(X0,X1),u1_struct_0(X0))
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8707]) ).
fof(f10409,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(sK300(X0,X1),X1)
| r2_hidden(k4_lattices(X0,sK299(X0,X1),sK300(X0,X1)),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8707]) ).
fof(f10410,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(sK299(X0,X1),X1)
| r2_hidden(k4_lattices(X0,sK299(X0,X1),sK300(X0,X1)),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8707]) ).
fof(f10411,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(sK300(X0,X1),X1)
| ~ r2_hidden(sK299(X0,X1),X1)
| ~ r2_hidden(k4_lattices(X0,sK299(X0,X1),sK300(X0,X1)),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8707]) ).
fof(f10412,plain,
! [X0,X8,X9,X7] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK304(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,[],[f8710]) ).
fof(f10413,plain,
! [X0,X8,X9,X7] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK305(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,[],[f8710]) ).
fof(f10414,plain,
! [X0,X8,X9,X7] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK306(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,[],[f8710]) ).
fof(f10415,plain,
! [X0,X8,X9,X7] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k4_lattices(X0,sK304(X0),k3_lattices(X0,sK305(X0),sK306(X0))) != k3_lattices(X0,k4_lattices(X0,sK304(X0),sK305(X0)),k4_lattices(X0,sK304(X0),sK306(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,[],[f8710]) ).
fof(f10416,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK301(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,[],[f8710]) ).
fof(f10417,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK302(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,[],[f8710]) ).
fof(f10418,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK303(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,[],[f8710]) ).
fof(f10419,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k3_lattices(X0,sK301(X0),k4_lattices(X0,sK302(X0),sK303(X0))) != k4_lattices(X0,k3_lattices(X0,sK301(X0),sK302(X0)),k3_lattices(X0,sK301(X0),sK303(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,[],[f8710]) ).
fof(f10420,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,[],[f7477]) ).
fof(f10421,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,[],[f7477]) ).
fof(f10422,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,[],[f7479]) ).
fof(f10423,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,[],[f7481]) ).
fof(f10424,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,[],[f7483]) ).
fof(f10425,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK307(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f8711]) ).
fof(f10426,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK308(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f8711]) ).
fof(f10427,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK309(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f8711]) ).
fof(f10428,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k3_lattices(X0,k3_lattices(X0,k4_lattices(X0,sK307(X0),sK308(X0)),k4_lattices(X0,sK308(X0),sK309(X0))),k4_lattices(X0,sK309(X0),sK307(X0))) != k4_lattices(X0,k4_lattices(X0,k3_lattices(X0,sK307(X0),sK308(X0)),k3_lattices(X0,sK308(X0),sK309(X0))),k3_lattices(X0,sK309(X0),sK307(X0)))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f8711]) ).
fof(f10429,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,[],[f7487]) ).
fof(f10430,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,[],[f7489]) ).
fof(f10431,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,[],[f7491]) ).
fof(f10432,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,[],[f7491]) ).
fof(f10433,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,[],[f7491]) ).
fof(f10434,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,[],[f7491]) ).
fof(f10435,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,[],[f7493]) ).
fof(f10436,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,[],[f7493]) ).
fof(f10437,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,[],[f7495]) ).
fof(f10438,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,[],[f7497]) ).
fof(f10439,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,[],[f7499]) ).
fof(f10440,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,[],[f7501]) ).
fof(f10441,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,[],[f7503]) ).
fof(f10449,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,[],[f7511]) ).
fof(f10450,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,[],[f7511]) ).
fof(f10453,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f7511]) ).
fof(f10454,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,[],[f7513]) ).
fof(f10455,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,[],[f7513]) ).
fof(f10458,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f7513]) ).
fof(f10459,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,[],[f7514]) ).
fof(f10460,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,[],[f7514]) ).
fof(f10461,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f7514]) ).
fof(f10462,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,[],[f7516]) ).
fof(f10463,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,[],[f7518]) ).
fof(f10464,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,[],[f7520]) ).
fof(f10465,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,[],[f7522]) ).
fof(f10466,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f7523]) ).
fof(f10467,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f7523]) ).
fof(f10468,plain,
l1_lattices(sK311),
inference(cnf_transformation,[],[f8716]) ).
fof(f10469,plain,
! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f7524]) ).
fof(f10470,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,[],[f8719]) ).
fof(f10471,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,[],[f8719]) ).
fof(f10472,plain,
! [X0,X1] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK312(X0,X1),u1_struct_0(X0))
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f8719]) ).
fof(f10473,plain,
! [X0,X1] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_lattices(X0,sK312(X0,X1),X1) != X1
| k2_lattices(X0,X1,sK312(X0,X1)) != X1
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f8719]) ).
fof(f10474,plain,
! [X0,X4] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| sK314(X0) = k2_lattices(X0,X4,sK314(X0)) ),
inference(cnf_transformation,[],[f8722]) ).
fof(f10475,plain,
! [X0,X4] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| sK314(X0) = k2_lattices(X0,sK314(X0),X4) ),
inference(cnf_transformation,[],[f8722]) ).
fof(f10476,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| m1_subset_1(sK314(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8722]) ).
fof(f10477,plain,
! [X0,X1] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK313(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v13_lattices(X0) ),
inference(cnf_transformation,[],[f8722]) ).
fof(f10478,plain,
! [X0,X1] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| k2_lattices(X0,sK313(X0,X1),X1) != X1
| k2_lattices(X0,X1,sK313(X0,X1)) != X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v13_lattices(X0) ),
inference(cnf_transformation,[],[f8722]) ).
fof(f10479,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,[],[f8725]) ).
fof(f10480,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK315(X0),u1_struct_0(X0))
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f8725]) ).
fof(f10481,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK316(X0),u1_struct_0(X0))
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f8725]) ).
fof(f10482,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK317(X0),u1_struct_0(X0))
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f8725]) ).
fof(f10483,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| k2_lattices(X0,sK315(X0),k2_lattices(X0,sK316(X0),sK317(X0))) != k2_lattices(X0,k2_lattices(X0,sK315(X0),sK316(X0)),sK317(X0))
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f8725]) ).
fof(f10484,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,[],[f8728]) ).
fof(f10485,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK318(X0),u1_struct_0(X0))
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f8728]) ).
fof(f10486,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK319(X0),u1_struct_0(X0))
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f8728]) ).
fof(f10487,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| k2_lattices(X0,sK318(X0),sK319(X0)) != k2_lattices(X0,sK319(X0),sK318(X0))
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f8728]) ).
fof(f10488,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,[],[f7534]) ).
fof(f10489,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_filter_0(X0) ),
inference(cnf_transformation,[],[f7536]) ).
fof(f10490,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,[],[f7538]) ).
fof(f10491,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,[],[f7540]) ).
fof(f10492,plain,
l2_lattices(sK320),
inference(cnf_transformation,[],[f8729]) ).
fof(f10493,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f7541]) ).
fof(f10503,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP11(X1,X0) ),
inference(cnf_transformation,[],[f8271]) ).
fof(f10504,plain,
v3_filter_0(sK321),
inference(cnf_transformation,[],[f8732]) ).
fof(f10505,plain,
v10_lattices(sK321),
inference(cnf_transformation,[],[f8732]) ).
fof(f10506,plain,
v9_lattices(sK321),
inference(cnf_transformation,[],[f8732]) ).
fof(f10507,plain,
v8_lattices(sK321),
inference(cnf_transformation,[],[f8732]) ).
fof(f10508,plain,
v7_lattices(sK321),
inference(cnf_transformation,[],[f8732]) ).
fof(f10509,plain,
v6_lattices(sK321),
inference(cnf_transformation,[],[f8732]) ).
fof(f10510,plain,
v5_lattices(sK321),
inference(cnf_transformation,[],[f8732]) ).
fof(f10511,plain,
v4_lattices(sK321),
inference(cnf_transformation,[],[f8732]) ).
fof(f10512,plain,
v3_lattices(sK321),
inference(cnf_transformation,[],[f8732]) ).
fof(f10513,plain,
~ v3_struct_0(sK321),
inference(cnf_transformation,[],[f8732]) ).
fof(f10514,plain,
l3_lattices(sK321),
inference(cnf_transformation,[],[f8732]) ).
fof(f10523,plain,
v14_lattices(sK322),
inference(cnf_transformation,[],[f8735]) ).
fof(f10524,plain,
v13_lattices(sK322),
inference(cnf_transformation,[],[f8735]) ).
fof(f10525,plain,
v10_lattices(sK322),
inference(cnf_transformation,[],[f8735]) ).
fof(f10526,plain,
v9_lattices(sK322),
inference(cnf_transformation,[],[f8735]) ).
fof(f10527,plain,
v8_lattices(sK322),
inference(cnf_transformation,[],[f8735]) ).
fof(f10528,plain,
v7_lattices(sK322),
inference(cnf_transformation,[],[f8735]) ).
fof(f10529,plain,
v6_lattices(sK322),
inference(cnf_transformation,[],[f8735]) ).
fof(f10530,plain,
v5_lattices(sK322),
inference(cnf_transformation,[],[f8735]) ).
fof(f10531,plain,
v4_lattices(sK322),
inference(cnf_transformation,[],[f8735]) ).
fof(f10532,plain,
v3_lattices(sK322),
inference(cnf_transformation,[],[f8735]) ).
fof(f10533,plain,
~ v3_struct_0(sK322),
inference(cnf_transformation,[],[f8735]) ).
fof(f10534,plain,
l3_lattices(sK322),
inference(cnf_transformation,[],[f8735]) ).
fof(f10535,plain,
v10_lattices(sK323),
inference(cnf_transformation,[],[f8736]) ).
fof(f10536,plain,
v9_lattices(sK323),
inference(cnf_transformation,[],[f8736]) ).
fof(f10537,plain,
v8_lattices(sK323),
inference(cnf_transformation,[],[f8736]) ).
fof(f10538,plain,
v7_lattices(sK323),
inference(cnf_transformation,[],[f8736]) ).
fof(f10539,plain,
v6_lattices(sK323),
inference(cnf_transformation,[],[f8736]) ).
fof(f10540,plain,
v5_lattices(sK323),
inference(cnf_transformation,[],[f8736]) ).
fof(f10541,plain,
v4_lattices(sK323),
inference(cnf_transformation,[],[f8736]) ).
fof(f10542,plain,
v3_lattices(sK323),
inference(cnf_transformation,[],[f8736]) ).
fof(f10543,plain,
~ v3_struct_0(sK323),
inference(cnf_transformation,[],[f8736]) ).
fof(f10544,plain,
l3_lattices(sK323),
inference(cnf_transformation,[],[f8736]) ).
fof(f10545,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,[],[f7547]) ).
fof(f10547,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f7549]) ).
fof(f10548,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f7549]) ).
fof(f10549,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f7549]) ).
fof(f10550,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f7549]) ).
fof(f10551,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v5_lattices(X0) ),
inference(cnf_transformation,[],[f7549]) ).
fof(f10552,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v4_lattices(X0) ),
inference(cnf_transformation,[],[f7549]) ).
fof(f10554,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(sK324(X0,X1),X3) ),
inference(cnf_transformation,[],[f8737]) ).
fof(f10555,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| r1_tarski(X1,sK324(X0,X1)) ),
inference(cnf_transformation,[],[f8737]) ).
fof(f10556,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| m2_relset_1(sK324(X0,X1),X0,X0) ),
inference(cnf_transformation,[],[f8737]) ).
fof(f10557,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| v1_partfun1(sK324(X0,X1),X0,X0) ),
inference(cnf_transformation,[],[f8737]) ).
fof(f10558,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| v8_relat_2(sK324(X0,X1)) ),
inference(cnf_transformation,[],[f8737]) ).
fof(f10559,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| v3_relat_2(sK324(X0,X1)) ),
inference(cnf_transformation,[],[f8737]) ).
fof(f10560,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,[],[f7553]) ).
fof(f10561,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,[],[f7555]) ).
fof(f10569,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,[],[f7561]) ).
fof(f10572,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,[],[f7563]) ).
fof(f10574,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,[],[f7565]) ).
fof(f10576,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,[],[f7567]) ).
fof(f10577,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,[],[f7569]) ).
fof(f10578,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,[],[f7571]) ).
fof(f10579,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,[],[f7571]) ).
fof(f10580,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,[],[f7571]) ).
fof(f10586,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,[],[f7577]) ).
fof(f10587,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,[],[f7579]) ).
fof(f10589,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,[],[f7583]) ).
fof(f10590,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,[],[f7585]) ).
fof(f10591,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,[],[f8738]) ).
fof(f10592,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,[],[f8738]) ).
fof(f10593,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,[],[f7589]) ).
fof(f10594,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,[],[f7589]) ).
fof(f10595,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,[],[f7591]) ).
fof(f10596,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,[],[f7591]) ).
fof(f10597,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,[],[f7591]) ).
fof(f10598,plain,
! [X2,X0,X1] :
( ~ sP13(X0,X1,X2)
| k8_filter_0(X1,X2) != X0
| sP12(X2,X1,X0) ),
inference(cnf_transformation,[],[f8740]) ).
fof(f10599,plain,
! [X2,X0,X1] :
( ~ sP13(X0,X1,X2)
| ~ sP12(X2,X1,X0)
| k8_filter_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f8740]) ).
fof(f10610,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)
| sP13(X2,X0,X1) ),
inference(cnf_transformation,[],[f8274]) ).
fof(f10620,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP14(X1,X0) ),
inference(cnf_transformation,[],[f8276]) ).
fof(f10621,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,[],[f7597]) ).
fof(f10622,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,[],[f7599]) ).
fof(f10623,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,[],[f7601]) ).
fof(f10624,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,[],[f7603]) ).
fof(f10625,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,[],[f7605]) ).
fof(f10626,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,[],[f7605]) ).
fof(f10627,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,[],[f7605]) ).
fof(f10628,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,[],[f8746]) ).
fof(f10629,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,[],[f8746]) ).
fof(f10630,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,[],[f7609]) ).
fof(f10631,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,[],[f7611]) ).
fof(f10632,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,[],[f7611]) ).
fof(f10633,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,[],[f7611]) ).
fof(f10634,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,[],[f7613]) ).
fof(f10635,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(sK327(X0,X1,X2,X3,X4),X0)
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3) ),
inference(cnf_transformation,[],[f8747]) ).
fof(f10636,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(sK327(X0,X1,X2,X3,X4),X2)
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3) ),
inference(cnf_transformation,[],[f8747]) ).
fof(f10637,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,sK327(X0,X1,X2,X3,X4)),X3)
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3) ),
inference(cnf_transformation,[],[f8747]) ).
fof(f10638,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,[],[f7617]) ).
fof(f10639,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,[],[f7619]) ).
fof(f10640,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,[],[f7621]) ).
fof(f10641,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,[],[f7623]) ).
fof(f10642,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(sK328(X0,X2,X3,X4),X0)
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f8748]) ).
fof(f10643,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,sK328(X0,X2,X3,X4)) = X4
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f8748]) ).
fof(f10644,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| r2_hidden(sK328(X0,X2,X3,X4),X2)
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f8748]) ).
fof(f10645,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,sK329(X0,X2,X3,X4)) = X4
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f8749]) ).
fof(f10646,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| r2_hidden(sK329(X0,X2,X3,X4),X2)
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f8749]) ).
fof(f10647,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| r2_hidden(sK329(X0,X2,X3,X4),X0)
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f8749]) ).
fof(f10648,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,[],[f7629]) ).
fof(f10649,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,[],[f7631]) ).
fof(f10650,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,[],[f7633]) ).
fof(f10651,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,[],[f7635]) ).
fof(f10652,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,[],[f7635]) ).
fof(f10653,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u1_cat_1(X0)) ),
inference(cnf_transformation,[],[f7636]) ).
fof(f10654,plain,
l1_cat_1(sK330),
inference(cnf_transformation,[],[f8750]) ).
fof(f10655,plain,
v2_cat_1(sK331),
inference(cnf_transformation,[],[f8751]) ).
fof(f10656,plain,
l1_cat_1(sK331),
inference(cnf_transformation,[],[f8751]) ).
fof(f10657,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| m2_cat_1(sK332(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f8752]) ).
fof(f10658,plain,
! [X2,X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X2,X0,X1)
| m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1)) ),
inference(cnf_transformation,[],[f7640]) ).
fof(f10659,plain,
! [X2,X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X2,X0,X1)
| v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1)) ),
inference(cnf_transformation,[],[f7640]) ).
fof(f10660,plain,
! [X2,X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X2,X0,X1)
| v1_funct_1(X2) ),
inference(cnf_transformation,[],[f7640]) ).
fof(f10661,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u2_cat_1(X0)) ),
inference(cnf_transformation,[],[f7641]) ).
fof(f10662,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| v1_xboole_0(X0)
| m1_subset_1(k10_setwiseo(X0,X1,X2,X3),k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f7643]) ).
fof(f10663,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| m1_subset_1(sK333(X1,X2,X4),k5_finsub_1(X1))
| k1_setwiseo(X2) != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1))
| ~ m1_subset_1(X5,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X5,X3)) = k10_setwiseo(X0,X2,X5,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ),
inference(cnf_transformation,[],[f8754]) ).
fof(f10664,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| m1_subset_1(sK334(X1,X2,X4),k5_finsub_1(X1))
| k1_setwiseo(X2) != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1))
| ~ m1_subset_1(X5,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X5,X3)) = k10_setwiseo(X0,X2,X5,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ),
inference(cnf_transformation,[],[f8754]) ).
fof(f10665,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k5_setwiseo(X1,sK333(X1,X2,X4),sK334(X1,X2,X4))) != k5_setwiseo(X2,k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,sK333(X1,X2,X4)),k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,sK334(X1,X2,X4)))
| k1_setwiseo(X2) != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1))
| ~ m1_subset_1(X5,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X5,X3)) = k10_setwiseo(X0,X2,X5,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ),
inference(cnf_transformation,[],[f8754]) ).
fof(f10666,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ r2_hidden(X4,k10_setwiseo(X0,X1,X3,X2))
| r2_hidden(X4,k8_funct_2(X0,k5_finsub_1(X1),X2,sK335(X0,X1,X2,X3,X4))) ),
inference(cnf_transformation,[],[f8757]) ).
fof(f10667,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ r2_hidden(X4,k10_setwiseo(X0,X1,X3,X2))
| r2_hidden(sK335(X0,X1,X2,X3,X4),X3) ),
inference(cnf_transformation,[],[f8757]) ).
fof(f10668,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ r2_hidden(X4,k10_setwiseo(X0,X1,X3,X2))
| m1_subset_1(sK335(X0,X1,X2,X3,X4),X0) ),
inference(cnf_transformation,[],[f8757]) ).
fof(f10669,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ r2_hidden(X4,k8_funct_2(X0,k5_finsub_1(X1),X2,X5))
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X5,X0)
| r2_hidden(X4,k10_setwiseo(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f8757]) ).
fof(f10670,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X3,X1)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ m2_relset_1(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_1(X5)
| m1_subset_1(sK336(X1,X2,X3,X5),k5_finsub_1(X2))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) != k3_binop_1(X1,X3)
| ~ m1_subset_1(X6,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X6,X4)) = k7_setwiseo(X0,X1,X3,X6,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ),
inference(cnf_transformation,[],[f8759]) ).
fof(f10671,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X3,X1)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ m2_relset_1(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_1(X5)
| m1_subset_1(sK337(X1,X2,X3,X5),k5_finsub_1(X2))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) != k3_binop_1(X1,X3)
| ~ m1_subset_1(X6,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X6,X4)) = k7_setwiseo(X0,X1,X3,X6,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ),
inference(cnf_transformation,[],[f8759]) ).
fof(f10672,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X3,X1)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ m2_relset_1(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_1(X5)
| k8_funct_2(k5_finsub_1(X2),X1,X5,k5_setwiseo(X2,sK336(X1,X2,X3,X5),sK337(X1,X2,X3,X5))) != k2_binop_1(X1,X1,X1,X3,k8_funct_2(k5_finsub_1(X2),X1,X5,sK336(X1,X2,X3,X5)),k8_funct_2(k5_finsub_1(X2),X1,X5,sK337(X1,X2,X3,X5)))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) != k3_binop_1(X1,X3)
| ~ m1_subset_1(X6,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X6,X4)) = k7_setwiseo(X0,X1,X3,X6,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ),
inference(cnf_transformation,[],[f8759]) ).
fof(f10673,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m1_subset_1(X4,k5_finsub_1(X0))
| k10_setwiseo(X0,X1,k5_setwiseo(X0,X3,X4),X2) = k5_setwiseo(X1,k10_setwiseo(X0,X1,X3,X2),k10_setwiseo(X0,X1,X4,X2)) ),
inference(cnf_transformation,[],[f7651]) ).
fof(f10674,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,k5_finsub_1(X0))
| k10_setwiseo(X0,X1,k5_setwiseo(X0,X4,k2_setwiseo(X0,X3)),X2) = k5_setwiseo(X1,k10_setwiseo(X0,X1,X4,X2),k8_funct_2(X0,k5_finsub_1(X1),X2,X3)) ),
inference(cnf_transformation,[],[f7653]) ).
fof(f10675,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| k1_xboole_0 = k10_setwiseo(X0,X1,k1_setwiseo(X0),X2) ),
inference(cnf_transformation,[],[f7655]) ).
fof(f10676,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,X0)
| k10_setwiseo(X0,X1,k2_setwiseo(X0,X3),X2) = k8_funct_2(X0,k5_finsub_1(X1),X2,X3) ),
inference(cnf_transformation,[],[f7657]) ).
fof(f10677,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| k10_setwiseo(X0,X1,X2,X3) = k7_setwiseo(X0,k5_finsub_1(X1),k9_setwiseo(X1),X2,X3) ),
inference(cnf_transformation,[],[f7659]) ).
fof(f10678,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,[],[f7661]) ).
fof(f10679,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(sK338(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,[],[f8760]) ).
fof(f10680,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(sK338(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,[],[f8760]) ).
fof(f10681,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,sK338(X0,X1,X2,X3,X4,X5)) != k4_lattices(X2,X5,k8_funct_2(X0,u1_struct_0(X2),X4,sK338(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,[],[f8760]) ).
fof(f10682,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(sK339(X0,X1,X2,X3,X4),X0)
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),k2_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f8761]) ).
fof(f10683,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(sK339(X0,X1,X2,X3,X4),X1)
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),k2_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f8761]) ).
fof(f10684,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,sK339(X0,X1,X2,X3,X4)),k8_funct_2(X0,u1_struct_0(X2),X4,sK339(X0,X1,X2,X3,X4)))
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),k2_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f8761]) ).
fof(f10685,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(sK340(X0,X1,X2,X3,X4),X0)
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),X4) ),
inference(cnf_transformation,[],[f8762]) ).
fof(f10686,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(sK340(X0,X1,X2,X3,X4),X1)
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),X4) ),
inference(cnf_transformation,[],[f8762]) ).
fof(f10687,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,sK340(X0,X1,X2,X3,X4)),X4)
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),X4) ),
inference(cnf_transformation,[],[f8762]) ).
fof(f10688,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,[],[f7669]) ).
fof(f10691,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,[],[f7673]) ).
fof(f10692,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(sK341(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,[],[f8763]) ).
fof(f10693,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(sK341(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,[],[f8763]) ).
fof(f10694,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,sK341(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK341(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,[],[f8763]) ).
fof(f10695,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(sK342(X0,X1,X2,X3,X4),X2)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f8764]) ).
fof(f10696,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(sK342(X0,X1,X2,X3,X4),X3)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f8764]) ).
fof(f10697,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| 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,sK342(X0,X1,X2,X3,X4)),X1)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f8764]) ).
fof(f10698,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,[],[f7679]) ).
fof(f10699,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(sK343(X0,X1,X2,X3,X4),X2)
| k2_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f8765]) ).
fof(f10700,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(sK343(X0,X1,X2,X3,X4),X3)
| k2_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f8765]) ).
fof(f10701,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,sK343(X0,X1,X2,X3,X4)) != X1
| k2_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f8765]) ).
fof(f10702,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,[],[f7683]) ).
fof(f10703,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,[],[f7685]) ).
fof(f10704,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,[],[f7687]) ).
fof(f10705,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(sK344(X0,X1,X2,X3,X4),X0)
| r3_lattices(X2,k3_lattice2(X0,X2,X1,X3),k3_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f8766]) ).
fof(f10706,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(sK344(X0,X1,X2,X3,X4),X1)
| r3_lattices(X2,k3_lattice2(X0,X2,X1,X3),k3_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f8766]) ).
fof(f10707,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,sK344(X0,X1,X2,X3,X4)),k8_funct_2(X0,u1_struct_0(X2),X4,sK344(X0,X1,X2,X3,X4)))
| r3_lattices(X2,k3_lattice2(X0,X2,X1,X3),k3_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f8766]) ).
fof(f10708,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(sK345(X0,X1,X2,X3,X4),X0)
| r3_lattices(X2,X4,k3_lattice2(X0,X2,X1,X3)) ),
inference(cnf_transformation,[],[f8767]) ).
fof(f10709,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(sK345(X0,X1,X2,X3,X4),X1)
| r3_lattices(X2,X4,k3_lattice2(X0,X2,X1,X3)) ),
inference(cnf_transformation,[],[f8767]) ).
fof(f10710,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,sK345(X0,X1,X2,X3,X4)))
| r3_lattices(X2,X4,k3_lattice2(X0,X2,X1,X3)) ),
inference(cnf_transformation,[],[f8767]) ).
fof(f10711,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,[],[f7693]) ).
fof(f10712,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(sK346(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,[],[f8768]) ).
fof(f10713,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(sK346(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,[],[f8768]) ).
fof(f10714,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,sK346(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK346(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,[],[f8768]) ).
fof(f10715,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(sK347(X0,X1,X2,X3,X4),X2)
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f8769]) ).
fof(f10716,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(sK347(X0,X1,X2,X3,X4),X3)
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f8769]) ).
fof(f10717,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,sK347(X0,X1,X2,X3,X4)))
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f8769]) ).
fof(f10718,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,[],[f7699]) ).
fof(f10719,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,[],[f7701]) ).
fof(f10720,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(sK348(X0,X1,X2,X3,X4),X2)
| k3_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f8770]) ).
fof(f10721,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(sK348(X0,X1,X2,X3,X4),X3)
| k3_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f8770]) ).
fof(f10722,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,sK348(X0,X1,X2,X3,X4)) != X1
| k3_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f8770]) ).
fof(f10723,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,[],[f7705]) ).
fof(f10724,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,[],[f7707]) ).
fof(f10725,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,[],[f7709]) ).
fof(f10726,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,[],[f7711]) ).
fof(f10727,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(sK349(X0,X1),k1_numbers,k5_numbers)
| k3_finseq_1(X0) != k3_finseq_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8771]) ).
fof(f10728,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(sK349(X0,X1),k3_finseq_1(X0))
| k3_finseq_1(X0) != k3_finseq_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8771]) ).
fof(f10729,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,sK349(X0,X1))
| k3_finseq_1(X0) != k3_finseq_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8771]) ).
fof(f10730,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,sK349(X0,X1)) != k1_funct_1(X1,sK349(X0,X1))
| k3_finseq_1(X0) != k3_finseq_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8771]) ).
fof(f10731,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| r1_xreal_0(X1,X0)
| r1_xreal_0(X0,X1) ),
inference(cnf_transformation,[],[f7715]) ).
fof(f10732,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| r1_xreal_0(X0,X0) ),
inference(cnf_transformation,[],[f7717]) ).
fof(f10733,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| r2_hidden(X0,k1_numbers) ),
inference(cnf_transformation,[],[f8772]) ).
fof(f10734,plain,
! [X0] :
( ~ r2_hidden(X0,k1_numbers)
| v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f8772]) ).
fof(f10736,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| v1_xcmplx_0(sK350(X0,X1))
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8775]) ).
fof(f10737,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| r2_hidden(sK350(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8775]) ).
fof(f10738,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| r2_hidden(sK350(X0,X1),X0)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8775]) ).
fof(f10741,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| v1_xcmplx_0(sK351(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f8779]) ).
fof(f10742,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| r2_hidden(sK351(X0,X1),X0)
| r2_hidden(sK351(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8779]) ).
fof(f10743,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| ~ r2_hidden(sK351(X0,X1),X0)
| ~ r2_hidden(sK351(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8779]) ).
fof(f10745,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| v1_xcmplx_0(sK352(X0,X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8782]) ).
fof(f10746,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| r2_hidden(sK352(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8782]) ).
fof(f10747,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| ~ r2_hidden(sK352(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8782]) ).
fof(f10748,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xcmplx_0(sK353(X0))
| k2_numbers = X0 ),
inference(cnf_transformation,[],[f8783]) ).
fof(f10749,plain,
! [X0] :
( ~ v1_membered(X0)
| ~ r2_hidden(sK353(X0),X0)
| k2_numbers = X0 ),
inference(cnf_transformation,[],[f8783]) ).
fof(f10750,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK354(X0),X0) ),
inference(cnf_transformation,[],[f8784]) ).
fof(f10751,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xboole_0(X0)
| v1_xcmplx_0(sK354(X0)) ),
inference(cnf_transformation,[],[f8784]) ).
fof(f10752,plain,
! [X2,X0] :
( ~ v1_membered(X0)
| ~ r2_hidden(X2,X0)
| v1_xcmplx_0(X2) ),
inference(cnf_transformation,[],[f8787]) ).
fof(f10753,plain,
! [X0] :
( r2_hidden(sK355(X0),X0)
| v1_membered(X0) ),
inference(cnf_transformation,[],[f8787]) ).
fof(f10754,plain,
! [X0] :
( ~ v1_xcmplx_0(sK355(X0))
| v1_membered(X0) ),
inference(cnf_transformation,[],[f8787]) ).
fof(f10755,plain,
! [X0] :
( ~ v1_xcmplx_0(X0)
| v1_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7728]) ).
fof(f10756,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ m1_subset_1(X1,X0)
| v1_xreal_0(X1) ),
inference(cnf_transformation,[],[f7729]) ).
fof(f10757,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1) ),
inference(cnf_transformation,[],[f7729]) ).
fof(f10758,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1) ),
inference(cnf_transformation,[],[f7730]) ).
fof(f10759,plain,
v1_xreal_0(sK356),
inference(cnf_transformation,[],[f8788]) ).
fof(f10760,plain,
v1_xcmplx_0(sK356),
inference(cnf_transformation,[],[f8788]) ).
fof(f10761,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v1_xcmplx_0(X0) ),
inference(cnf_transformation,[],[f7731]) ).
fof(f10762,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__2,X1) = k1_group_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f7733]) ).
fof(f10763,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)
| ~ m2_finseq_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_funct_1(X1,np__2) != X3
| k1_funct_1(X1,np__1) != X2
| np__2 != k3_finseq_1(X1)
| k2_rlvect_1(X0,X2,X3) = k9_rlvect_1(X0,X1) ),
inference(cnf_transformation,[],[f7735]) ).
fof(f10764,plain,
! [X0] :
( ~ v1_card_1(X0)
| ~ r2_hidden(np__1,X0)
| r1_tarski(np__2,X0) ),
inference(cnf_transformation,[],[f8789]) ).
fof(f10765,plain,
! [X0] :
( ~ v1_card_1(X0)
| ~ r1_tarski(np__2,X0)
| r2_hidden(np__1,X0) ),
inference(cnf_transformation,[],[f8789]) ).
fof(f10766,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ v1_realset1(X0)
| ~ r1_xreal_0(np__2,k4_card_1(X0)) ),
inference(cnf_transformation,[],[f8790]) ).
fof(f10767,plain,
! [X0] :
( ~ v1_finset_1(X0)
| r1_xreal_0(np__2,k4_card_1(X0))
| v1_realset1(X0) ),
inference(cnf_transformation,[],[f8790]) ).
fof(f10768,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,[],[f7738]) ).
fof(f10769,plain,
k2_finseq_1(np__2) = k2_tarski(np__1,np__2),
inference(cnf_transformation,[],[f3255]) ).
fof(f10770,plain,
k1_tarski(np__1) = k2_finseq_1(np__1),
inference(cnf_transformation,[],[f3255]) ).
fof(f10771,plain,
k1_xboole_0 = k2_finseq_1(np__0),
inference(cnf_transformation,[],[f3255]) ).
fof(f10772,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_xboole_0(X0)
| m2_filter_1(sK357(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f8791]) ).
fof(f10773,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,[],[f7742]) ).
fof(f10774,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,[],[f7742]) ).
fof(f10775,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,[],[f7742]) ).
fof(f10776,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,[],[f7744]) ).
fof(f10777,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,[],[f7746]) ).
fof(f10778,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,[],[f7748]) ).
fof(f10779,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,[],[f7750]) ).
fof(f10780,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,[],[f7752]) ).
fof(f10781,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,[],[f8794]) ).
fof(f10782,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(sK361(X0,X1,X2,X3),sK359(X0,X1,X2,X3))
| k4_filter_1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f8794]) ).
fof(f10783,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(sK360(X0,X1,X2,X3),sK358(X0,X1,X2,X3))
| k4_filter_1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f8794]) ).
fof(f10784,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(sK359(X0,X1,X2,X3),k8_eqrel_1(X0,X1))
| k4_filter_1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f8794]) ).
fof(f10785,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(sK358(X0,X1,X2,X3),k8_eqrel_1(X0,X1))
| k4_filter_1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f8794]) ).
fof(f10786,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,sK358(X0,X1,X2,X3),sK359(X0,X1,X2,X3)) != k6_eqrel_1(X0,X1,k1_binop_1(X2,sK360(X0,X1,X2,X3),sK361(X0,X1,X2,X3)))
| k4_filter_1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f8794]) ).
fof(f10787,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,[],[f7756]) ).
fof(f10788,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,[],[f7756]) ).
fof(f10789,plain,
l1_rlvect_1(sK362),
inference(cnf_transformation,[],[f8795]) ).
fof(f10790,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,[],[f7758]) ).
fof(f10791,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,[],[f7760]) ).
fof(f10792,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_rlvect_1(X0) != k2_rlvect_1(X0,X1,X2)
| k5_rlvect_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8796]) ).
fof(f10794,plain,
! [X0] :
( ~ sP16(X0)
| l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8798]) ).
fof(f10795,plain,
! [X0] :
( ~ sP16(X0)
| v6_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8798]) ).
fof(f10796,plain,
! [X0] :
( ~ sP16(X0)
| v5_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8798]) ).
fof(f10797,plain,
! [X0] :
( ~ sP16(X0)
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8798]) ).
fof(f10798,plain,
! [X0] :
( ~ sP16(X0)
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8798]) ).
fof(f10799,plain,
! [X0] :
( ~ sP16(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f8798]) ).
fof(f10800,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)
| sP16(X0) ),
inference(cnf_transformation,[],[f8798]) ).
fof(f10810,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP15(X0)
| sP16(X0) ),
inference(cnf_transformation,[],[f8802]) ).
fof(f10811,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP16(X0)
| sP15(X0) ),
inference(cnf_transformation,[],[f8802]) ).
fof(f10812,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,[],[f7766]) ).
fof(f10813,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,[],[f7768]) ).
fof(f10814,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,[],[f7770]) ).
fof(f10815,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,[],[f7770]) ).
fof(f10816,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,[],[f7772]) ).
fof(f10817,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,[],[f7772]) ).
fof(f10818,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,sK367(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f8803]) ).
fof(f10819,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(sK367(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8803]) ).
fof(f10820,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,[],[f7776]) ).
fof(f10821,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,[],[f7778]) ).
fof(f10822,plain,
! [X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_rlvect_1(X0) = k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X1)) ),
inference(cnf_transformation,[],[f7778]) ).
fof(f10824,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,[],[f8804]) ).
fof(f10825,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,[],[f7782]) ).
fof(f10826,plain,
! [X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1 ),
inference(cnf_transformation,[],[f7782]) ).
fof(f10827,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,sK369(X0,X3)) ),
inference(cnf_transformation,[],[f8807]) ).
fof(f10828,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(sK369(X0,X3),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8807]) ).
fof(f10829,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK368(X0),u1_struct_0(X0))
| v6_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8807]) ).
fof(f10830,plain,
! [X2,X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| k1_rlvect_1(X0) != k2_rlvect_1(X0,sK368(X0),X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v6_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8807]) ).
fof(f10831,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,[],[f8810]) ).
fof(f10832,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK370(X0),u1_struct_0(X0))
| v5_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8810]) ).
fof(f10833,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| sK370(X0) != k2_rlvect_1(X0,sK370(X0),k1_rlvect_1(X0))
| v5_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8810]) ).
fof(f10834,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,[],[f8813]) ).
fof(f10835,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK371(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8813]) ).
fof(f10836,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK372(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8813]) ).
fof(f10837,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK373(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8813]) ).
fof(f10838,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| k2_rlvect_1(X0,k2_rlvect_1(X0,sK371(X0),sK372(X0)),sK373(X0)) != k2_rlvect_1(X0,sK371(X0),k2_rlvect_1(X0,sK372(X0),sK373(X0)))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8813]) ).
fof(f10839,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,[],[f8816]) ).
fof(f10840,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK374(X0),u1_struct_0(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8816]) ).
fof(f10841,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK375(X0),u1_struct_0(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8816]) ).
fof(f10842,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| k2_rlvect_1(X0,sK374(X0),sK375(X0)) != k2_rlvect_1(X0,sK375(X0),sK374(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f8816]) ).
fof(f10843,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,[],[f7791]) ).
fof(f10844,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,[],[f7791]) ).
fof(f10845,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v1_funct_1(u1_rlvect_1(X0)) ),
inference(cnf_transformation,[],[f7791]) ).
fof(f10846,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,[],[f7793]) ).
fof(f10847,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,[],[f7795]) ).
fof(f10848,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,[],[f7795]) ).
fof(f10850,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,[],[f7797]) ).
fof(f10853,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,[],[f7799]) ).
fof(f10855,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,[],[f7801]) ).
fof(f10856,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,[],[f7801]) ).
fof(f10857,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,[],[f7803]) ).
fof(f10858,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,[],[f7805]) ).
fof(f10859,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,[],[f7807]) ).
fof(f10860,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,[],[f7809]) ).
fof(f10861,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,[],[f8818]) ).
fof(f10862,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,[],[f8818]) ).
fof(f10863,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,[],[f8818]) ).
fof(f10872,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,[],[f8825]) ).
fof(f10873,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
| sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f8825]) ).
fof(f10874,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(sK387(X0,X1,X2),sK388(X0,X1,X2)),k1_relat_1(X1))
| ~ sP17(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8825]) ).
fof(f10875,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(sK385(X0,X1,X2),sK386(X0,X1,X2)),k1_relat_1(X0))
| ~ sP17(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8825]) ).
fof(f10876,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(sK385(X0,X1,X2),sK387(X0,X1,X2)),k4_tarski(sK386(X0,X1,X2),sK388(X0,X1,X2)))) != k4_tarski(k1_funct_1(X0,k4_tarski(sK385(X0,X1,X2),sK386(X0,X1,X2))),k1_funct_1(X1,k4_tarski(sK387(X0,X1,X2),sK388(X0,X1,X2))))
| ~ sP17(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8825]) ).
fof(f10884,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f7816]) ).
fof(f10885,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,[],[f7818]) ).
fof(f10886,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,[],[f7818]) ).
fof(f10887,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,[],[f7818]) ).
fof(f10888,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,[],[f7820]) ).
fof(f10889,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,[],[f7820]) ).
fof(f10890,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f7822]) ).
fof(f10892,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,[],[f7824]) ).
fof(f10893,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,[],[f7826]) ).
fof(f10895,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,[],[f7828]) ).
fof(f10896,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,[],[f8830]) ).
fof(f10897,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,[],[f8830]) ).
fof(f10898,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,[],[f8830]) ).
fof(f10899,plain,
! [X0,X1] :
( ~ sP19(X0,X1)
| ~ sP18(X1,X0)
| l3_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f8833]) ).
fof(f10900,plain,
! [X0,X1] :
( ~ sP19(X0,X1)
| ~ sP18(X1,X0)
| v17_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f8833]) ).
fof(f10901,plain,
! [X0,X1] :
( ~ sP19(X0,X1)
| ~ sP18(X1,X0)
| v10_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f8833]) ).
fof(f10902,plain,
! [X0,X1] :
( ~ sP19(X0,X1)
| ~ sP18(X1,X0)
| ~ v3_struct_0(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f8833]) ).
fof(f10903,plain,
! [X0,X1] :
( ~ sP19(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))
| sP18(X1,X0) ),
inference(cnf_transformation,[],[f8833]) ).
fof(f10913,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sP19(X1,X0) ),
inference(cnf_transformation,[],[f8284]) ).
fof(f10917,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,[],[f8839]) ).
fof(f10918,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,[],[f8839]) ).
fof(f10919,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,[],[f8839]) ).
fof(f10920,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,[],[f8841]) ).
fof(f10921,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,[],[f8841]) ).
fof(f10922,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,[],[f8841]) ).
fof(f10923,plain,
! [X0,X1] :
( ~ sP21(X0,X1)
| ~ sP20(X1,X0)
| l3_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f8844]) ).
fof(f10924,plain,
! [X0,X1] :
( ~ sP21(X0,X1)
| ~ sP20(X1,X0)
| v11_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f8844]) ).
fof(f10925,plain,
! [X0,X1] :
( ~ sP21(X0,X1)
| ~ sP20(X1,X0)
| v10_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f8844]) ).
fof(f10926,plain,
! [X0,X1] :
( ~ sP21(X0,X1)
| ~ sP20(X1,X0)
| ~ v3_struct_0(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f8844]) ).
fof(f10927,plain,
! [X0,X1] :
( ~ sP21(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))
| sP20(X1,X0) ),
inference(cnf_transformation,[],[f8844]) ).
fof(f10937,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sP21(X1,X0) ),
inference(cnf_transformation,[],[f8287]) ).
fof(f10939,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,[],[f7842]) ).
fof(f10942,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,[],[f7842]) ).
fof(f10944,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,[],[f7844]) ).
fof(f10945,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,[],[f7844]) ).
fof(f10947,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,[],[f7848]) ).
fof(f10948,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,[],[f7850]) ).
fof(f10950,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,[],[f7854]) ).
fof(f10952,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,[],[f7858]) ).
fof(f10953,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,[],[f8849]) ).
fof(f10954,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(sK390(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8849]) ).
fof(f10955,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(sK391(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8849]) ).
fof(f10956,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(sK392(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8849]) ).
fof(f10957,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,sK390(X0,X1,X2),sK391(X0,X1,X2)),sK392(X0,X1,X2)) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK390(X0,X1,X2),sK392(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK391(X0,X1,X2),sK392(X0,X1,X2)))
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8849]) ).
fof(f10958,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,[],[f8852]) ).
fof(f10959,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(sK393(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8852]) ).
fof(f10960,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(sK394(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8852]) ).
fof(f10961,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(sK395(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8852]) ).
fof(f10962,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,sK393(X0,X1,X2),k2_binop_1(X0,X0,X0,X1,sK394(X0,X1,X2),sK395(X0,X1,X2))) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK393(X0,X1,X2),sK394(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK393(X0,X1,X2),sK395(X0,X1,X2)))
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f8852]) ).
fof(f10963,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| m1_subset_1(k2_finseq_1(X0),k1_zfmisc_1(k5_numbers)) ),
inference(cnf_transformation,[],[f7863]) ).
fof(f10964,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| v1_xboole_0(X1)
| k3_finseq_1(sK396(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f8853]) ).
fof(f10965,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| v1_xboole_0(X1)
| m2_finseq_1(sK396(X0,X1),X1) ),
inference(cnf_transformation,[],[f8853]) ).
fof(f10966,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,[],[f7865]) ).
fof(f10967,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,[],[f7867]) ).
fof(f10968,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,[],[f7867]) ).
fof(f10969,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,[],[f7867]) ).
fof(f10970,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v4_ordinal2(X1)
| k2_finseq_1(X1) != k2_finseq_1(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f7869]) ).
fof(f10971,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,[],[f8854]) ).
fof(f10972,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,[],[f8854]) ).
fof(f10973,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| r2_hidden(X0,k2_finseq_1(X0))
| np__0 = X0 ),
inference(cnf_transformation,[],[f7872]) ).
fof(f10974,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v4_ordinal2(X1)
| ~ r2_hidden(X0,k2_finseq_1(X1))
| r1_xreal_0(X0,X1) ),
inference(cnf_transformation,[],[f8856]) ).
fof(f10975,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,[],[f8856]) ).
fof(f10976,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,[],[f8856]) ).
fof(f10978,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| v4_ordinal2(sK397(X0,X1))
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8859]) ).
fof(f10979,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| r2_hidden(sK397(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8859]) ).
fof(f10980,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| r2_hidden(sK397(X0,X1),X0)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8859]) ).
fof(f10983,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| v4_ordinal2(sK398(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f8863]) ).
fof(f10984,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| r2_hidden(sK398(X0,X1),X0)
| r2_hidden(sK398(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8863]) ).
fof(f10985,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| ~ r2_hidden(sK398(X0,X1),X0)
| ~ r2_hidden(sK398(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8863]) ).
fof(f10987,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| v4_ordinal2(sK399(X0,X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8866]) ).
fof(f10988,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| r2_hidden(sK399(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8866]) ).
fof(f10989,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| ~ r2_hidden(sK399(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8866]) ).
fof(f10990,plain,
! [X0] :
( ~ v5_membered(X0)
| v4_ordinal2(sK400(X0))
| k5_numbers = X0 ),
inference(cnf_transformation,[],[f8867]) ).
fof(f10991,plain,
! [X0] :
( ~ v5_membered(X0)
| ~ r2_hidden(sK400(X0),X0)
| k5_numbers = X0 ),
inference(cnf_transformation,[],[f8867]) ).
fof(f10992,plain,
! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK401(X0),X0) ),
inference(cnf_transformation,[],[f8868]) ).
fof(f10993,plain,
! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| v4_ordinal2(sK401(X0)) ),
inference(cnf_transformation,[],[f8868]) ).
fof(f10994,plain,
! [X2,X0] :
( ~ v5_membered(X0)
| ~ r2_hidden(X2,X0)
| v4_ordinal2(X2) ),
inference(cnf_transformation,[],[f8871]) ).
fof(f10995,plain,
! [X0] :
( r2_hidden(sK402(X0),X0)
| v5_membered(X0) ),
inference(cnf_transformation,[],[f8871]) ).
fof(f10996,plain,
! [X0] :
( ~ v4_ordinal2(sK402(X0))
| v5_membered(X0) ),
inference(cnf_transformation,[],[f8871]) ).
fof(f10997,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v5_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7885]) ).
fof(f10998,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v3_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7885]) ).
fof(f10999,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v2_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7885]) ).
fof(f11000,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v1_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7885]) ).
fof(f11001,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v5_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7887]) ).
fof(f11002,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v3_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7887]) ).
fof(f11003,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v2_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7887]) ).
fof(f11004,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v1_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7887]) ).
fof(f11005,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v5_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7888]) ).
fof(f11006,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v3_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7888]) ).
fof(f11007,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v2_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7888]) ).
fof(f11008,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7888]) ).
fof(f11009,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_int_1(X0) ),
inference(cnf_transformation,[],[f7889]) ).
fof(f11010,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f7890]) ).
fof(f11011,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,[],[f7892]) ).
fof(f11012,plain,
! [X0] :
( m2_subset_1(sK403(X0),k1_numbers,k5_numbers)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f8872]) ).
fof(f11013,plain,
! [X0] :
( r2_wellord2(X0,k2_finseq_1(sK403(X0)))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f8872]) ).
fof(f11014,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| k1_card_1(X0) = k1_card_1(k2_finseq_1(X0)) ),
inference(cnf_transformation,[],[f7894]) ).
fof(f11015,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| r2_wellord2(k2_finseq_1(X0),X0) ),
inference(cnf_transformation,[],[f7895]) ).
fof(f11016,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,[],[f7897]) ).
fof(f11021,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
| sP22(X0,X2,X1) ),
inference(cnf_transformation,[],[f8879]) ).
fof(f11022,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,[],[f8879]) ).
fof(f11023,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,[],[f8879]) ).
fof(f11024,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)
| ~ sP22(X0,X2,X1)
| m2_subset_1(sK405(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,[],[f8879]) ).
fof(f11025,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)
| ~ sP22(X0,X2,X1)
| r2_hidden(sK405(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,[],[f8879]) ).
fof(f11026,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)
| ~ sP22(X0,X2,X1)
| k1_funct_1(X0,sK405(X0,X2)) != k1_funct_1(X2,sK405(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,[],[f8879]) ).
fof(f11027,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,[],[f7901]) ).
fof(f11028,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,[],[f7901]) ).
fof(f11029,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finseq_1(sK406(X0))
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f8880]) ).
fof(f11030,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(sK406(X0))
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f8880]) ).
fof(f11031,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_relat_1(sK406(X0))
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f8880]) ).
fof(f11032,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r1_tarski(X0,sK406(X0))
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f8880]) ).
fof(f11033,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,[],[f8881]) ).
fof(f11034,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,[],[f8881]) ).
fof(f11035,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_finseq_1(X0)
| k1_relat_1(X0) = k2_finseq_1(sK407(X0)) ),
inference(cnf_transformation,[],[f8884]) ).
fof(f11036,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_finseq_1(X0)
| m2_subset_1(sK407(X0),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f8884]) ).
fof(f11037,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,[],[f8884]) ).
fof(f11038,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,[],[f7908]) ).
fof(f11039,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,[],[f7910]) ).
fof(f11040,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,[],[f7912]) ).
fof(f11041,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,[],[f7914]) ).
fof(f11042,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,[],[f7916]) ).
fof(f11043,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v1_int_1(X1)
| m2_subset_1(sK408(X0,X1),k1_numbers,k5_numbers)
| r1_xreal_0(X1,X0) ),
inference(cnf_transformation,[],[f8885]) ).
fof(f11044,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v1_int_1(X1)
| r1_xreal_0(np__1,sK408(X0,X1))
| r1_xreal_0(X1,X0) ),
inference(cnf_transformation,[],[f8885]) ).
fof(f11045,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v1_int_1(X1)
| k6_xcmplx_0(X1,X0) = sK408(X0,X1)
| r1_xreal_0(X1,X0) ),
inference(cnf_transformation,[],[f8885]) ).
fof(f11046,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,[],[f7920]) ).
fof(f11047,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,[],[f7922]) ).
fof(f11048,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,[],[f7924]) ).
fof(f11049,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,[],[f7924]) ).
fof(f11050,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,[],[f7924]) ).
fof(f11051,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| v1_int_1(k6_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f7926]) ).
fof(f11052,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| v1_xreal_0(k6_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f7926]) ).
fof(f11053,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| v1_xcmplx_0(k6_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f7926]) ).
fof(f11054,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_int_1(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f7928]) ).
fof(f11055,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f7928]) ).
fof(f11056,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_xcmplx_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f7928]) ).
fof(f11057,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,[],[f7930]) ).
fof(f11058,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,[],[f7930]) ).
fof(f11061,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,[],[f7930]) ).
fof(f11062,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,[],[f7932]) ).
fof(f11063,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,[],[f7932]) ).
fof(f11066,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,[],[f7932]) ).
fof(f11067,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,[],[f7934]) ).
fof(f11068,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,[],[f7934]) ).
fof(f11071,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,[],[f7934]) ).
fof(f11072,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,[],[f7936]) ).
fof(f11073,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,[],[f7936]) ).
fof(f11076,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,[],[f7936]) ).
fof(f11077,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,[],[f7938]) ).
fof(f11080,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,[],[f7940]) ).
fof(f11083,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v1_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f7942]) ).
fof(f11084,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v1_xcmplx_0(k6_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f7942]) ).
fof(f11085,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ~ v2_xreal_0(X0)
| ~ r1_xreal_0(X0,np__0) ),
inference(cnf_transformation,[],[f8886]) ).
fof(f11086,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| r1_xreal_0(X0,np__0)
| v2_xreal_0(X0) ),
inference(cnf_transformation,[],[f8886]) ).
fof(f11087,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,[],[f7945]) ).
fof(f11088,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,[],[f7945]) ).
fof(f11089,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,[],[f7945]) ).
fof(f11090,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,[],[f7947]) ).
fof(f11091,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,[],[f7947]) ).
fof(f11092,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,[],[f7947]) ).
fof(f11093,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,[],[f7949]) ).
fof(f11094,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,[],[f7949]) ).
fof(f11095,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,[],[f7949]) ).
fof(f11096,plain,
~ v3_xreal_0(sK409),
inference(cnf_transformation,[],[f8887]) ).
fof(f11097,plain,
~ v2_xreal_0(sK409),
inference(cnf_transformation,[],[f8887]) ).
fof(f11098,plain,
v1_xreal_0(sK409),
inference(cnf_transformation,[],[f8887]) ).
fof(f11099,plain,
v1_xcmplx_0(sK409),
inference(cnf_transformation,[],[f8887]) ).
fof(f11100,plain,
v1_xboole_0(sK409),
inference(cnf_transformation,[],[f8887]) ).
fof(f11101,plain,
v3_xreal_0(sK410),
inference(cnf_transformation,[],[f8888]) ).
fof(f11102,plain,
~ v2_xreal_0(sK410),
inference(cnf_transformation,[],[f8888]) ).
fof(f11103,plain,
v1_xreal_0(sK410),
inference(cnf_transformation,[],[f8888]) ).
fof(f11104,plain,
v1_xcmplx_0(sK410),
inference(cnf_transformation,[],[f8888]) ).
fof(f11105,plain,
~ v1_xboole_0(sK410),
inference(cnf_transformation,[],[f8888]) ).
fof(f11106,plain,
~ v3_xreal_0(sK411),
inference(cnf_transformation,[],[f8889]) ).
fof(f11107,plain,
v2_xreal_0(sK411),
inference(cnf_transformation,[],[f8889]) ).
fof(f11108,plain,
v1_xreal_0(sK411),
inference(cnf_transformation,[],[f8889]) ).
fof(f11109,plain,
v1_xcmplx_0(sK411),
inference(cnf_transformation,[],[f8889]) ).
fof(f11110,plain,
~ v1_xboole_0(sK411),
inference(cnf_transformation,[],[f8889]) ).
fof(f11124,plain,
! [X0] :
( ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f7957]) ).
fof(f11125,plain,
! [X0] :
( v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| v1_xboole_0(X0)
| v2_xreal_0(X0) ),
inference(cnf_transformation,[],[f7959]) ).
fof(f11128,plain,
! [X0] :
( ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v3_xreal_0(X0) ),
inference(cnf_transformation,[],[f7961]) ).
fof(f11131,plain,
! [X0] :
( ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f7961]) ).
fof(f11135,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f7962]) ).
fof(f11138,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| v1_card_1(X0) ),
inference(cnf_transformation,[],[f7963]) ).
fof(f11143,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| v1_int_1(X0) ),
inference(cnf_transformation,[],[f7964]) ).
fof(f11144,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| ~ v3_xreal_0(X0) ),
inference(cnf_transformation,[],[f7964]) ).
fof(f11145,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f7964]) ).
fof(f11146,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| v1_xcmplx_0(X0) ),
inference(cnf_transformation,[],[f7964]) ).
fof(f11147,plain,
! [X0] :
( ~ m1_subset_1(X0,k5_numbers)
| v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f7964]) ).
fof(f11148,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ~ v3_xreal_0(X0)
| ~ r1_xreal_0(np__0,X0) ),
inference(cnf_transformation,[],[f8890]) ).
fof(f11149,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| r1_xreal_0(np__0,X0)
| v3_xreal_0(X0) ),
inference(cnf_transformation,[],[f8890]) ).
fof(f11150,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,[],[f7967]) ).
fof(f11151,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,[],[f7969]) ).
fof(f11152,plain,
! [X0,X1] :
( ~ m2_finseq_1(X1,X0)
| m2_relset_1(X1,k5_numbers,X0) ),
inference(cnf_transformation,[],[f7970]) ).
fof(f11153,plain,
! [X0,X1] :
( ~ m2_finseq_1(X1,X0)
| v1_finseq_1(X1) ),
inference(cnf_transformation,[],[f7970]) ).
fof(f11154,plain,
! [X0,X1] :
( ~ m2_finseq_1(X1,X0)
| v1_funct_1(X1) ),
inference(cnf_transformation,[],[f7970]) ).
fof(f11155,plain,
! [X0] :
( ~ v1_finset_1(X0)
| k2_relat_1(sK412(X0)) = X0 ),
inference(cnf_transformation,[],[f8893]) ).
fof(f11156,plain,
! [X0] :
( ~ v1_finset_1(X0)
| v1_finseq_1(sK412(X0)) ),
inference(cnf_transformation,[],[f8893]) ).
fof(f11157,plain,
! [X0] :
( ~ v1_finset_1(X0)
| v1_funct_1(sK412(X0)) ),
inference(cnf_transformation,[],[f8893]) ).
fof(f11158,plain,
! [X0] :
( ~ v1_finset_1(X0)
| v1_relat_1(sK412(X0)) ),
inference(cnf_transformation,[],[f8893]) ).
fof(f11159,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,[],[f8893]) ).
fof(f11162,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,[],[f8895]) ).
fof(f11163,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,[],[f8895]) ).
fof(f11164,plain,
v1_finseq_1(k1_xboole_0),
inference(cnf_transformation,[],[f3267]) ).
fof(f11165,plain,
v1_funct_1(k1_xboole_0),
inference(cnf_transformation,[],[f3267]) ).
fof(f11166,plain,
v1_relat_1(k1_xboole_0),
inference(cnf_transformation,[],[f3267]) ).
fof(f11167,plain,
v1_finseq_1(sK413),
inference(cnf_transformation,[],[f8896]) ).
fof(f11168,plain,
v1_finset_1(sK413),
inference(cnf_transformation,[],[f8896]) ).
fof(f11169,plain,
v1_funct_1(sK413),
inference(cnf_transformation,[],[f8896]) ).
fof(f11170,plain,
v1_relat_1(sK413),
inference(cnf_transformation,[],[f8896]) ).
fof(f11171,plain,
~ v1_xboole_0(sK413),
inference(cnf_transformation,[],[f8896]) ).
fof(f11172,plain,
! [X0] : v1_finseq_1(sK414(X0)),
inference(cnf_transformation,[],[f8897]) ).
fof(f11173,plain,
! [X0] : v1_finset_1(sK414(X0)),
inference(cnf_transformation,[],[f8897]) ).
fof(f11174,plain,
! [X0] : v1_funct_1(sK414(X0)),
inference(cnf_transformation,[],[f8897]) ).
fof(f11175,plain,
! [X0] : v1_relat_1(sK414(X0)),
inference(cnf_transformation,[],[f8897]) ).
fof(f11176,plain,
! [X0] : m1_relset_1(sK414(X0),k5_numbers,X0),
inference(cnf_transformation,[],[f8897]) ).
fof(f11177,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f7976]) ).
fof(f11180,plain,
v1_finseq_1(sK415),
inference(cnf_transformation,[],[f8898]) ).
fof(f11181,plain,
v1_funct_1(sK415),
inference(cnf_transformation,[],[f8898]) ).
fof(f11182,plain,
v1_relat_1(sK415),
inference(cnf_transformation,[],[f8898]) ).
fof(f11183,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,[],[f7978]) ).
fof(f11186,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,[],[f7980]) ).
fof(f11187,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,[],[f7981]) ).
fof(f11192,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,[],[f7987]) ).
fof(f11193,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,[],[f7989]) ).
fof(f11194,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,[],[f7991]) ).
fof(f11195,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,[],[f7993]) ).
fof(f11198,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK416(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,[],[f8902]) ).
fof(f11199,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_funct_1(X1,sK416(X1,X2)) != k1_funct_1(X2,sK416(X1,X2))
| k1_relat_1(X1) != k3_xboole_0(k1_relat_1(X2),X0)
| k7_relat_1(X2,X0) = X1 ),
inference(cnf_transformation,[],[f8902]) ).
fof(f11200,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(k7_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f7997]) ).
fof(f11202,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_relat_1(k7_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f7998]) ).
fof(f11203,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,[],[f7999]) ).
fof(f11204,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,[],[f8001]) ).
fof(f11205,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,[],[f8002]) ).
fof(f11206,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,[],[f8004]) ).
fof(f11207,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,[],[f8006]) ).
fof(f11208,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,[],[f8007]) ).
fof(f11209,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k2_relat_1(k7_relat_1(X1,X0)) = k9_relat_1(X1,X0) ),
inference(cnf_transformation,[],[f8008]) ).
fof(f11210,plain,
! [X0] : k1_xboole_0 = k7_relat_1(k1_xboole_0,X0),
inference(cnf_transformation,[],[f818]) ).
fof(f11211,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 = k7_relat_1(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f8009]) ).
fof(f11212,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,[],[f8010]) ).
fof(f11213,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,[],[f8011]) ).
fof(f11214,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,[],[f8012]) ).
fof(f11215,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,[],[f8014]) ).
fof(f11216,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,[],[f8016]) ).
fof(f11217,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,[],[f8018]) ).
fof(f11218,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,[],[f8020]) ).
fof(f11219,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,[],[f8022]) ).
fof(f11220,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k7_relat_1(X1,X0) = k7_relat_1(k7_relat_1(X1,X0),X0) ),
inference(cnf_transformation,[],[f8023]) ).
fof(f11221,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,[],[f8024]) ).
fof(f11222,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k7_relat_1(X1,X0)),k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f8025]) ).
fof(f11223,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k7_relat_1(X0,k1_relat_1(X0)) = X0 ),
inference(cnf_transformation,[],[f8026]) ).
fof(f11224,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| k7_relat_1(X1,X0) = X1 ),
inference(cnf_transformation,[],[f8028]) ).
fof(f11225,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,[],[f8029]) ).
fof(f11226,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,[],[f8903]) ).
fof(f11227,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,[],[f8903]) ).
fof(f11228,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,[],[f8032]) ).
fof(f11229,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,[],[f8033]) ).
fof(f11230,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k1_relat_1(k7_relat_1(X1,X0)),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f8034]) ).
fof(f11231,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k7_relat_1(X1,X0),X1) ),
inference(cnf_transformation,[],[f8035]) ).
fof(f11232,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k1_relat_1(k7_relat_1(X1,X0)),X0) ),
inference(cnf_transformation,[],[f8036]) ).
fof(f11233,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,[],[f8905]) ).
fof(f11234,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,[],[f8905]) ).
fof(f11235,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,[],[f8905]) ).
fof(f11236,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,[],[f8909]) ).
fof(f11237,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,[],[f8909]) ).
fof(f11238,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,[],[f8909]) ).
fof(f11239,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK417(X0,X1,X2),sK418(X0,X1,X2)),X2)
| r2_hidden(k4_tarski(sK417(X0,X1,X2),sK418(X0,X1,X2)),X0)
| k7_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8909]) ).
fof(f11240,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK417(X0,X1,X2),sK418(X0,X1,X2)),X2)
| r2_hidden(sK417(X0,X1,X2),X1)
| k7_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8909]) ).
fof(f11241,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(sK417(X0,X1,X2),sK418(X0,X1,X2)),X2)
| ~ r2_hidden(k4_tarski(sK417(X0,X1,X2),sK418(X0,X1,X2)),X0)
| ~ r2_hidden(sK417(X0,X1,X2),X1)
| k7_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8909]) ).
fof(f11242,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,[],[f8040]) ).
fof(f11243,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,[],[f8042]) ).
fof(f11244,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,[],[f8044]) ).
fof(f11245,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,[],[f8046]) ).
fof(f11246,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,[],[f8048]) ).
fof(f11247,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,[],[f8911]) ).
fof(f11248,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,[],[f8911]) ).
fof(f11249,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,[],[f8911]) ).
fof(f11250,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,[],[f8052]) ).
fof(f11251,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,[],[f8054]) ).
fof(f11252,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,[],[f8056]) ).
fof(f11253,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,[],[f8058]) ).
fof(f11254,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,[],[f8059]) ).
fof(f11255,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,[],[f8061]) ).
fof(f11256,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,[],[f8063]) ).
fof(f11257,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,[],[f8065]) ).
fof(f11258,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,[],[f8067]) ).
fof(f11259,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,[],[f8069]) ).
fof(f11260,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,[],[f8071]) ).
fof(f11261,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_xboole_0 = k10_relat_1(X1,k1_tarski(sK419(X0,X1)))
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f8912]) ).
fof(f11262,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK419(X0,X1),X0)
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f8912]) ).
fof(f11263,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,[],[f8913]) ).
fof(f11264,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,[],[f8913]) ).
fof(f11265,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,[],[f8076]) ).
fof(f11266,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,[],[f8078]) ).
fof(f11267,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,[],[f8917]) ).
fof(f11268,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,[],[f8917]) ).
fof(f11269,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,[],[f8917]) ).
fof(f11270,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK420(X0,X1,X2),X2)
| r2_hidden(k1_funct_1(X0,sK420(X0,X1,X2)),X1)
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8917]) ).
fof(f11271,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK420(X0,X1,X2),X2)
| r2_hidden(sK420(X0,X1,X2),k1_relat_1(X0))
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8917]) ).
fof(f11272,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK420(X0,X1,X2),X2)
| ~ r2_hidden(k1_funct_1(X0,sK420(X0,X1,X2)),X1)
| ~ r2_hidden(sK420(X0,X1,X2),k1_relat_1(X0))
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8917]) ).
fof(f11273,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,[],[f8082]) ).
fof(f11274,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,[],[f8084]) ).
fof(f11275,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,[],[f8086]) ).
fof(f11276,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,[],[f8087]) ).
fof(f11277,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,[],[f8088]) ).
fof(f11278,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,[],[f8089]) ).
fof(f11279,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,[],[f8091]) ).
fof(f11280,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,[],[f8918]) ).
fof(f11281,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,[],[f8918]) ).
fof(f11282,plain,
! [X0] : k1_xboole_0 = k10_relat_1(k1_xboole_0,X0),
inference(cnf_transformation,[],[f882]) ).
fof(f11283,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 = k10_relat_1(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f8093]) ).
fof(f11284,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,[],[f8094]) ).
fof(f11285,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) = k10_relat_1(X0,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f8095]) ).
fof(f11286,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,[],[f8096]) ).
fof(f11287,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k10_relat_1(X1,X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f8097]) ).
fof(f11288,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k10_relat_1(X2,X1))
| r2_hidden(sK421(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f8921]) ).
fof(f11289,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k10_relat_1(X2,X1))
| r2_hidden(k4_tarski(X0,sK421(X0,X1,X2)),X2) ),
inference(cnf_transformation,[],[f8921]) ).
fof(f11290,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k10_relat_1(X2,X1))
| r2_hidden(sK421(X0,X1,X2),k2_relat_1(X2)) ),
inference(cnf_transformation,[],[f8921]) ).
fof(f11292,plain,
! [X2,X0,X1,X6] :
( ~ v1_relat_1(X0)
| k10_relat_1(X0,X1) != X2
| ~ r2_hidden(X6,X2)
| r2_hidden(sK424(X0,X1,X6),X1) ),
inference(cnf_transformation,[],[f8924]) ).
fof(f11293,plain,
! [X2,X0,X1,X6] :
( ~ v1_relat_1(X0)
| k10_relat_1(X0,X1) != X2
| ~ r2_hidden(X6,X2)
| r2_hidden(k4_tarski(X6,sK424(X0,X1,X6)),X0) ),
inference(cnf_transformation,[],[f8924]) ).
fof(f11294,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,[],[f8924]) ).
fof(f11295,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK422(X0,X1,X2),X2)
| r2_hidden(sK423(X0,X1,X2),X1)
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8924]) ).
fof(f11296,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK422(X0,X1,X2),X2)
| r2_hidden(k4_tarski(sK422(X0,X1,X2),sK423(X0,X1,X2)),X0)
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8924]) ).
fof(f11297,plain,
! [X2,X0,X1,X4] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK422(X0,X1,X2),X2)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(sK422(X0,X1,X2),X4),X0)
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8924]) ).
fof(f11299,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,[],[f8103]) ).
fof(f11300,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,[],[f8105]) ).
fof(f11301,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,[],[f8107]) ).
fof(f11302,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,[],[f8109]) ).
fof(f11303,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,[],[f8111]) ).
fof(f11304,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,[],[f8113]) ).
fof(f11305,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,[],[f8115]) ).
fof(f11306,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,[],[f8117]) ).
fof(f11307,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,sK427(X0,X1,X6)) = X6 ),
inference(cnf_transformation,[],[f8927]) ).
fof(f11308,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(sK427(X0,X1,X6),X1) ),
inference(cnf_transformation,[],[f8927]) ).
fof(f11309,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(sK427(X0,X1,X6),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f8927]) ).
fof(f11310,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,[],[f8927]) ).
fof(f11311,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK425(X0,X1,X2),X2)
| sK425(X0,X1,X2) = k1_funct_1(X0,sK426(X0,X1,X2))
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8927]) ).
fof(f11312,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK425(X0,X1,X2),X2)
| r2_hidden(sK426(X0,X1,X2),X1)
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8927]) ).
fof(f11313,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK425(X0,X1,X2),X2)
| r2_hidden(sK426(X0,X1,X2),k1_relat_1(X0))
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8927]) ).
fof(f11314,plain,
! [X2,X0,X1,X4] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK425(X0,X1,X2),X2)
| k1_funct_1(X0,X4) != sK425(X0,X1,X2)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,k1_relat_1(X0))
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8927]) ).
fof(f11315,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,[],[f8121]) ).
fof(f11316,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,[],[f8123]) ).
fof(f11317,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,[],[f8125]) ).
fof(f11318,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,[],[f8126]) ).
fof(f11319,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,[],[f8127]) ).
fof(f11320,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,[],[f8128]) ).
fof(f11321,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,[],[f8130]) ).
fof(f11322,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,[],[f8928]) ).
fof(f11323,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,[],[f8928]) ).
fof(f11324,plain,
! [X0] : k1_xboole_0 = k9_relat_1(k1_xboole_0,X0),
inference(cnf_transformation,[],[f859]) ).
fof(f11325,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 = k9_relat_1(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f8132]) ).
fof(f11326,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,[],[f8133]) ).
fof(f11327,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) = k9_relat_1(X0,k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f8134]) ).
fof(f11328,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,[],[f8135]) ).
fof(f11329,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,X0),k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f8136]) ).
fof(f11330,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k9_relat_1(X2,X1))
| r2_hidden(sK428(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f8931]) ).
fof(f11331,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k9_relat_1(X2,X1))
| r2_hidden(k4_tarski(sK428(X0,X1,X2),X0),X2) ),
inference(cnf_transformation,[],[f8931]) ).
fof(f11332,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k9_relat_1(X2,X1))
| r2_hidden(sK428(X0,X1,X2),k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f8931]) ).
fof(f11334,plain,
! [X2,X0,X1,X6] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,X1) != X2
| ~ r2_hidden(X6,X2)
| r2_hidden(sK431(X0,X1,X6),X1) ),
inference(cnf_transformation,[],[f8934]) ).
fof(f11335,plain,
! [X2,X0,X1,X6] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,X1) != X2
| ~ r2_hidden(X6,X2)
| r2_hidden(k4_tarski(sK431(X0,X1,X6),X6),X0) ),
inference(cnf_transformation,[],[f8934]) ).
fof(f11336,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,[],[f8934]) ).
fof(f11337,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK429(X0,X1,X2),X2)
| r2_hidden(sK430(X0,X1,X2),X1)
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8934]) ).
fof(f11338,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK429(X0,X1,X2),X2)
| r2_hidden(k4_tarski(sK430(X0,X1,X2),sK429(X0,X1,X2)),X0)
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8934]) ).
fof(f11339,plain,
! [X2,X0,X1,X4] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK429(X0,X1,X2),X2)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,sK429(X0,X1,X2)),X0)
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8934]) ).
fof(f11340,plain,
! [X2,X3,X0,X6,X4,X5] :
( ~ r2_hidden(X6,sK432(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,[],[f8935]) ).
fof(f11341,plain,
! [X0] :
( r2_hidden(sK432(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8935]) ).
fof(f11342,plain,
! [X2,X3,X0,X4,X5] :
( ~ r2_hidden(X5,sK433(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,[],[f8936]) ).
fof(f11343,plain,
! [X0] :
( r2_hidden(sK433(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8936]) ).
fof(f11344,plain,
! [X2,X3,X0,X4] :
( ~ r2_hidden(X4,sK434(X0))
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8937]) ).
fof(f11345,plain,
! [X0] :
( r2_hidden(sK434(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8937]) ).
fof(f11346,plain,
! [X2,X3,X0] :
( ~ r2_hidden(X3,sK435(X0))
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8938]) ).
fof(f11347,plain,
! [X0] :
( r2_hidden(sK435(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8938]) ).
fof(f11348,plain,
! [X2,X0] :
( ~ r2_hidden(X2,sK436(X0))
| r1_xboole_0(X2,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8939]) ).
fof(f11349,plain,
! [X0] :
( r2_hidden(sK436(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8939]) ).
fof(f11350,plain,
! [X0] :
( r1_xboole_0(sK437(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8940]) ).
fof(f11351,plain,
! [X0] :
( r2_hidden(sK437(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8940]) ).
fof(f11352,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,[],[f8149]) ).
fof(f11353,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,[],[f8149]) ).
fof(f11354,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,[],[f8150]) ).
fof(f11355,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,[],[f8150]) ).
fof(f11357,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| r1_xboole_0(k1_tarski(X0),X1) ),
inference(cnf_transformation,[],[f8151]) ).
fof(f11359,plain,
! [X0,X1] :
( X0 = X1
| r1_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(cnf_transformation,[],[f8153]) ).
fof(f11360,plain,
! [X0,X1] :
( X0 != X1
| ~ r1_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(cnf_transformation,[],[f8154]) ).
fof(f11361,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,[],[f8156]) ).
fof(f11362,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k4_xboole_0(X1,X2))
| r1_xboole_0(X0,X2) ),
inference(cnf_transformation,[],[f8157]) ).
fof(f11363,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k4_xboole_0(X1,X2))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8157]) ).
fof(f11367,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,[],[f8159]) ).
fof(f11368,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f8161]) ).
fof(f11369,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,k4_xboole_0(X2,X1)) ),
inference(cnf_transformation,[],[f8162]) ).
fof(f11370,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,[],[f8163]) ).
fof(f11371,plain,
! [X0,X1] :
( ~ r1_xboole_0(X0,X1)
| k4_xboole_0(X0,X1) = X0 ),
inference(cnf_transformation,[],[f8941]) ).
fof(f11372,plain,
! [X0,X1] :
( k4_xboole_0(X0,X1) != X0
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8941]) ).
fof(f11373,plain,
! [X0,X1] : r1_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f151]) ).
fof(f11374,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,[],[f8164]) ).
fof(f11375,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| r1_xboole_0(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f8165]) ).
fof(f11376,plain,
! [X0,X1] : r1_xboole_0(k4_xboole_0(X0,X1),X1),
inference(cnf_transformation,[],[f148]) ).
fof(f11377,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,[],[f8166]) ).
fof(f11378,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,[],[f8167]) ).
fof(f11379,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,[],[f8168]) ).
fof(f11380,plain,
! [X0,X1] :
( ~ r1_xboole_0(k3_xboole_0(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8169]) ).
fof(f11382,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8172]) ).
fof(f11383,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,[],[f8174]) ).
fof(f11384,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,[],[f8176]) ).
fof(f11385,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,k2_xboole_0(X1,X2))
| r1_xboole_0(X0,X2) ),
inference(cnf_transformation,[],[f8177]) ).
fof(f11386,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,k2_xboole_0(X1,X2))
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8177]) ).
fof(f11387,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,[],[f8177]) ).
fof(f11388,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ~ r1_xboole_0(X1,X0)
| ~ r1_tarski(X1,X0) ),
inference(cnf_transformation,[],[f8179]) ).
fof(f11389,plain,
! [X2,X0,X1] :
( v1_xboole_0(X2)
| ~ r1_xboole_0(X0,X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X2,X0) ),
inference(cnf_transformation,[],[f8181]) ).
fof(f11390,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8183]) ).
fof(f11391,plain,
! [X0] :
( ~ r1_xboole_0(X0,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8184]) ).
fof(f11393,plain,
! [X0] : r1_xboole_0(X0,k1_xboole_0),
inference(cnf_transformation,[],[f134]) ).
fof(f11394,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,[],[f8186]) ).
fof(f11395,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,X2) ),
inference(cnf_transformation,[],[f8188]) ).
fof(f11396,plain,
! [X0,X1] :
( ~ r1_xboole_0(X0,X1)
| r1_xboole_0(X1,X0) ),
inference(cnf_transformation,[],[f8189]) ).
fof(f11401,plain,
! [X3,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| ~ r2_hidden(X3,k3_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8942]) ).
fof(f11402,plain,
! [X0,X1] :
( r2_hidden(sK438(X0,X1),k3_xboole_0(X0,X1))
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8942]) ).
fof(f11403,plain,
! [X3,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ),
inference(cnf_transformation,[],[f8943]) ).
fof(f11404,plain,
! [X0,X1] :
( r2_hidden(sK439(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8943]) ).
fof(f11405,plain,
! [X0,X1] :
( r2_hidden(sK439(X0,X1),X0)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8943]) ).
fof(f11406,plain,
! [X0,X1] :
( ~ r1_xboole_0(X0,X1)
| k1_xboole_0 = k3_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8944]) ).
fof(f11407,plain,
! [X0,X1] :
( k1_xboole_0 != k3_xboole_0(X0,X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8944]) ).
fof(f11408,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,[],[f8194]) ).
fof(f11409,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,[],[f8196]) ).
fof(f11422,plain,
! [X0] :
( r2_hidden(sK441(X0),X0)
| v1_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f8946]) ).
fof(f11423,plain,
! [X0] :
( ~ v1_membered(sK441(X0))
| v1_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f8946]) ).
fof(f11424,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ r1_tarski(X0,X1)
| v1_membered(X0) ),
inference(cnf_transformation,[],[f8215]) ).
fof(f11425,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v3_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8216]) ).
fof(f11426,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v2_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8216]) ).
fof(f11427,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v1_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8216]) ).
fof(f11428,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v2_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8217]) ).
fof(f11429,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v1_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8217]) ).
fof(f11430,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| v1_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8218]) ).
fof(f11431,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v3_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f8219]) ).
fof(f11432,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v2_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f8219]) ).
fof(f11433,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v1_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f8219]) ).
fof(f11437,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v2_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f8221]) ).
fof(f11438,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v1_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f8221]) ).
fof(f11441,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| v1_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f8223]) ).
fof(f11443,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v3_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8226]) ).
fof(f11444,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v2_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8226]) ).
fof(f11445,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8226]) ).
fof(f11446,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ v2_membered(X0)
| v2_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8228]) ).
fof(f11447,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ v2_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8228]) ).
fof(f11448,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ v1_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8230]) ).
fof(f11449,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v3_membered(X1) ),
inference(cnf_transformation,[],[f8231]) ).
fof(f11450,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v2_membered(X1) ),
inference(cnf_transformation,[],[f8231]) ).
fof(f11451,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1) ),
inference(cnf_transformation,[],[f8231]) ).
fof(f11452,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v2_membered(X1) ),
inference(cnf_transformation,[],[f8232]) ).
fof(f11453,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1) ),
inference(cnf_transformation,[],[f8232]) ).
fof(f11455,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v2_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f8235]) ).
fof(f11456,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v1_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f8235]) ).
fof(f11457,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v2_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f8236]) ).
fof(f11458,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v1_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f8236]) ).
fof(f11459,plain,
v2_membered(k1_numbers),
inference(cnf_transformation,[],[f3003]) ).
fof(f11460,plain,
v1_membered(k1_numbers),
inference(cnf_transformation,[],[f3003]) ).
fof(f11461,plain,
~ v1_xboole_0(k1_numbers),
inference(cnf_transformation,[],[f3003]) ).
fof(f11462,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_numbers))
| v2_membered(X0) ),
inference(cnf_transformation,[],[f8237]) ).
fof(f11463,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_numbers))
| v1_membered(X0) ),
inference(cnf_transformation,[],[f8237]) ).
fof(f11464,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_membered(X0) ),
inference(cnf_transformation,[],[f8238]) ).
fof(f11465,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f8240]) ).
fof(f11466,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,[],[f8242]) ).
fof(f11467,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,[],[f8244]) ).
fof(f11468,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,[],[f8949]) ).
fof(f11469,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK442(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f8949]) ).
fof(f11470,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK443(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f8949]) ).
fof(f11471,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK444(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f8949]) ).
fof(f11472,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| k2_lattices(X0,sK442(X0),k1_lattices(X0,sK443(X0),sK444(X0))) != k1_lattices(X0,k2_lattices(X0,sK442(X0),sK443(X0)),k2_lattices(X0,sK442(X0),sK444(X0)))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f8949]) ).
fof(f11473,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,[],[f8952]) ).
fof(f11474,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK445(X0),u1_struct_0(X0))
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f8952]) ).
fof(f11475,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK446(X0),u1_struct_0(X0))
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f8952]) ).
fof(f11476,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| sK445(X0) != k2_lattices(X0,sK445(X0),k1_lattices(X0,sK445(X0),sK446(X0)))
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f8952]) ).
fof(f11477,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,[],[f8955]) ).
fof(f11478,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK447(X0),u1_struct_0(X0))
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f8955]) ).
fof(f11479,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK448(X0),u1_struct_0(X0))
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f8955]) ).
fof(f11480,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| sK448(X0) != k1_lattices(X0,k2_lattices(X0,sK447(X0),sK448(X0)),sK448(X0))
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f8955]) ).
fof(f11481,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),
inference(definition_unfolding,[],[f10370,f10367]) ).
fof(f11482,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)),
inference(definition_unfolding,[],[f10368,f10367,f10367]) ).
fof(f11484,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,[],[f8967,f10020]) ).
fof(f11485,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,[],[f8966,f10020]) ).
fof(f11487,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,[],[f8964,f10020]) ).
fof(f11488,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,[],[f8963,f10020]) ).
fof(f11489,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,[],[f8993,f10020]) ).
fof(f11490,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,[],[f8992,f10020]) ).
fof(f11491,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X0,X1))
| np__0 = X0 ),
inference(definition_unfolding,[],[f8995,f10020]) ).
fof(f11492,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f8994,f10020]) ).
fof(f11493,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,[],[f9000,f10020]) ).
fof(f11494,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,[],[f8999,f10020]) ).
fof(f11496,plain,
! [X0] :
( ~ r1_tarski(X0,np__0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f9007,f10020,f10020]) ).
fof(f11497,plain,
! [X0] : r1_tarski(np__0,X0),
inference(definition_unfolding,[],[f9008,f10020]) ).
fof(f11499,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v3_realset2(X0)
| u1_struct_0(X0) = k2_tarski(sK31(X0),sK31(X0)) ),
inference(definition_unfolding,[],[f9019,f10367]) ).
fof(f11501,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,[],[f9047,f10020,f10020]) ).
fof(f11502,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,[],[f9046,f10020,f10020]) ).
fof(f11503,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,[],[f9049,f10020,f10020]) ).
fof(f11504,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,np__0)
| ~ v1_funct_1(X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f9050,f10020,f10020]) ).
fof(f11505,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,[],[f9051,f10020,f10020]) ).
fof(f11506,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,np__0,X0)
| ~ v1_funct_1(X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f9052,f10020,f10020]) ).
fof(f11510,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,[],[f9055,f10020]) ).
fof(f11511,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| ~ m2_relset_1(X2,X1,np__0)
| np__0 = X2 ),
inference(definition_unfolding,[],[f9057,f10020,f10020]) ).
fof(f11512,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,np__0,X1)
| np__0 = X2 ),
inference(definition_unfolding,[],[f9058,f10020,f10020]) ).
fof(f11513,plain,
! [X0,X1] : m2_relset_1(np__0,X0,X1),
inference(definition_unfolding,[],[f9059,f10020]) ).
fof(f11514,plain,
! [X0] :
( sK38(X0) != sK39(X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f9066,f10020]) ).
fof(f11515,plain,
! [X0] :
( k1_relat_1(sK38(X0)) = X0
| np__0 = X0 ),
inference(definition_unfolding,[],[f9065,f10020]) ).
fof(f11516,plain,
! [X0] :
( k1_relat_1(sK39(X0)) = X0
| np__0 = X0 ),
inference(definition_unfolding,[],[f9064,f10020]) ).
fof(f11517,plain,
! [X0] :
( v1_relat_1(sK39(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f9063,f10020]) ).
fof(f11518,plain,
! [X0] :
( v1_funct_1(sK39(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f9062,f10020]) ).
fof(f11519,plain,
! [X0] :
( v1_relat_1(sK38(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f9061,f10020]) ).
fof(f11520,plain,
! [X0] :
( v1_funct_1(sK38(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f9060,f10020]) ).
fof(f11523,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r2_hidden(sK40(X0,X1),X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f9070,f10020]) ).
fof(f11524,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(sK40(X0,X1),X0)
| np__0 = X1 ),
inference(definition_unfolding,[],[f9069,f10020]) ).
fof(f11525,plain,
! [X0] : m1_subset_1(np__0,k1_zfmisc_1(X0)),
inference(definition_unfolding,[],[f9071,f10020]) ).
fof(f11526,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,[],[f9073,f10020,f10020]) ).
fof(f11527,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,[],[f9072,f10020,f10020]) ).
fof(f11529,plain,
! [X0,X1] :
( np__0 != X0
| k2_zfmisc_1(X0,X1) = np__0 ),
inference(definition_unfolding,[],[f9077,f10020,f10020]) ).
fof(f11530,plain,
! [X0,X1] :
( np__0 != X1
| k2_zfmisc_1(X0,X1) = np__0 ),
inference(definition_unfolding,[],[f9076,f10020,f10020]) ).
fof(f11531,plain,
! [X0,X1] :
( k2_zfmisc_1(X0,X1) != np__0
| np__0 = X1
| np__0 = X0 ),
inference(definition_unfolding,[],[f9075,f10020,f10020,f10020]) ).
fof(f11534,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f9079,f10020]) ).
fof(f11535,plain,
! [X0] :
( r2_hidden(sK41(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f9082,f10020]) ).
fof(f11536,plain,
! [X2,X0] :
( np__0 != X0
| ~ r2_hidden(X2,X0) ),
inference(definition_unfolding,[],[f9081,f10020]) ).
fof(f11537,plain,
v1_xboole_0(np__0),
inference(definition_unfolding,[],[f9083,f10020]) ).
fof(f11538,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,[],[f9142,f10367]) ).
fof(f11539,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,[],[f9145,f10367]) ).
fof(f11540,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_xboole_0(X0,k2_tarski(X1,X1)),X2)
| r2_hidden(X1,X2) ),
inference(definition_unfolding,[],[f9144,f10367]) ).
fof(f11543,plain,
! [X2,X0,X1] :
( X0 != X2
| r2_hidden(X0,k2_xboole_0(X1,k2_tarski(X2,X2))) ),
inference(definition_unfolding,[],[f9147,f10367]) ).
fof(f11544,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k2_xboole_0(X1,k2_tarski(X2,X2)))
| X0 = X2
| r2_hidden(X0,X1) ),
inference(definition_unfolding,[],[f9146,f10367]) ).
fof(f11545,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,[],[f9149,f10367]) ).
fof(f11546,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,[],[f9150,f10367,f10367,f10367,f10367]) ).
fof(f11547,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,[],[f9151,f10367,f10367]) ).
fof(f11548,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,[],[f9152,f10367,f10020,f10367,f10367]) ).
fof(f11549,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,[],[f9153,f10020,f10367,f10367]) ).
fof(f11551,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,[],[f9154,f10367]) ).
fof(f11552,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,[],[f9156,f10367,f10367]) ).
fof(f11553,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,[],[f9157,f10367,f11481]) ).
fof(f11554,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,[],[f9158,f10367,f10367]) ).
fof(f11555,plain,
! [X0,X1] :
( np__0 = X0
| v1_relat_1(sK58(X0,X1)) ),
inference(definition_unfolding,[],[f9162,f10020]) ).
fof(f11556,plain,
! [X0,X1] :
( np__0 = X0
| v1_funct_1(sK58(X0,X1)) ),
inference(definition_unfolding,[],[f9161,f10020]) ).
fof(f11557,plain,
! [X0,X1] :
( np__0 = X0
| k1_relat_1(sK58(X0,X1)) = X0 ),
inference(definition_unfolding,[],[f9160,f10020]) ).
fof(f11558,plain,
! [X0,X1] :
( np__0 = X0
| k2_relat_1(sK58(X0,X1)) = k2_tarski(X1,X1) ),
inference(definition_unfolding,[],[f9159,f10367,f10020]) ).
fof(f11559,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,[],[f9163,f10367,f10367]) ).
fof(f11563,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(k2_tarski(X0,X0),k1_zfmisc_1(X1)) ),
inference(definition_unfolding,[],[f9167,f10367]) ).
fof(f11564,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,[],[f9168,f10367,f10020]) ).
fof(f11566,plain,
! [X0,X1] :
( np__0 = X0
| np__0 != k2_zfmisc_1(k2_tarski(X1,X1),X0) ),
inference(definition_unfolding,[],[f9171,f10020,f10367,f10020]) ).
fof(f11567,plain,
! [X0,X1] :
( np__0 = X0
| np__0 != k2_zfmisc_1(X0,k2_tarski(X1,X1)) ),
inference(definition_unfolding,[],[f9170,f10020,f10367,f10020]) ).
fof(f11568,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,[],[f9174,f11481,f10367]) ).
fof(f11570,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,[],[f9172,f11481,f10367]) ).
fof(f11571,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,[],[f9177,f11481,f10367]) ).
fof(f11572,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,[],[f9176,f11481,f10367]) ).
fof(f11574,plain,
! [X0] : r1_tarski(k2_tarski(X0,X0),k1_zfmisc_1(X0)),
inference(definition_unfolding,[],[f9178,f10367]) ).
fof(f11576,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k2_xboole_0(k2_tarski(X0,X0),X1) = X1 ),
inference(definition_unfolding,[],[f9180,f10367]) ).
fof(f11578,plain,
! [X2,X0,X1] :
( np__0 = X2
| np__0 = X1
| X1 = X2
| k2_xboole_0(X1,X2) != k2_tarski(X0,X0) ),
inference(definition_unfolding,[],[f9182,f10367,f10020,f10020]) ).
fof(f11587,plain,
! [X0,X1] :
( r2_hidden(sK59(X0,X1),X0)
| np__0 = X0
| k2_tarski(X1,X1) = X0 ),
inference(definition_unfolding,[],[f9192,f10367,f10020]) ).
fof(f11588,plain,
! [X0,X1] :
( sK59(X0,X1) != X1
| np__0 = X0
| k2_tarski(X1,X1) = X0 ),
inference(definition_unfolding,[],[f9191,f10367,f10020]) ).
fof(f11591,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k2_tarski(X1,X1))
| k2_tarski(X1,X1) = X0
| np__0 = X0 ),
inference(definition_unfolding,[],[f9193,f10020,f10367,f10367]) ).
fof(f11592,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| r1_tarski(k2_tarski(X0,X0),X1) ),
inference(definition_unfolding,[],[f9197,f10367]) ).
fof(f11595,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,[],[f9201,f11481,f10367,f10367]) ).
fof(f11601,plain,
k1_zfmisc_1(np__0) = k2_tarski(np__0,np__0),
inference(definition_unfolding,[],[f9205,f10020,f10367,f10020]) ).
fof(f11602,plain,
! [X0,X1] :
( ~ r2_hidden(sK60(X0,X1),X1)
| sK60(X0,X1) != X0
| k2_tarski(X0,X0) = X1 ),
inference(definition_unfolding,[],[f9209,f10367]) ).
fof(f11603,plain,
! [X0,X1] :
( r2_hidden(sK60(X0,X1),X1)
| sK60(X0,X1) = X0
| k2_tarski(X0,X0) = X1 ),
inference(definition_unfolding,[],[f9208,f10367]) ).
fof(f11605,plain,
! [X3,X0,X1] :
( k2_tarski(X0,X0) != X1
| ~ r2_hidden(X3,X1)
| X0 = X3 ),
inference(definition_unfolding,[],[f9206,f10367]) ).
fof(f11606,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_realset1(X0)
| k5_realset1(X0,X1) = k2_tarski(X1,X1) ),
inference(definition_unfolding,[],[f9246,f10367]) ).
fof(f11607,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_tarski(sK74(X0),sK74(X0))))
| ~ v1_realset1(X0) ),
inference(definition_unfolding,[],[f9258,f10367]) ).
fof(f11608,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_realset1(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_tarski(sK75(X0),sK75(X0)))) ),
inference(definition_unfolding,[],[f9260,f10367]) ).
fof(f11609,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_tarski(sK76(X0),sK76(X0))))
| ~ v1_realset1(X0) ),
inference(definition_unfolding,[],[f9262,f10367]) ).
fof(f11610,plain,
! [X2,X0] :
( v1_xboole_0(X0)
| v1_realset1(X0)
| ~ v1_xboole_0(k4_xboole_0(X0,k2_tarski(X2,X2))) ),
inference(definition_unfolding,[],[f9261,f10367]) ).
fof(f11611,plain,
! [X0,X1] :
( k2_tarski(X1,X1) != X0
| v1_realset1(X0) ),
inference(definition_unfolding,[],[f9264,f10367]) ).
fof(f11612,plain,
! [X0] :
( ~ v1_realset1(X0)
| k2_tarski(sK77(X0),sK77(X0)) = X0
| v1_xboole_0(X0) ),
inference(definition_unfolding,[],[f9263,f10367]) ).
fof(f11615,plain,
! [X0] : v1_realset1(k2_tarski(X0,X0)),
inference(definition_unfolding,[],[f9266,f10367]) ).
fof(f11616,plain,
! [X0,X1] :
( k1_relat_1(sK89(X0,X1)) = X1
| np__0 = X0 ),
inference(definition_unfolding,[],[f9336,f10020]) ).
fof(f11617,plain,
! [X0,X1] :
( r1_tarski(k2_relat_1(sK89(X0,X1)),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f9335,f10020]) ).
fof(f11618,plain,
! [X0,X1] :
( v1_relat_1(sK89(X0,X1))
| np__0 = X0 ),
inference(definition_unfolding,[],[f9334,f10020]) ).
fof(f11619,plain,
! [X0,X1] :
( v1_funct_1(sK89(X0,X1))
| np__0 = X0 ),
inference(definition_unfolding,[],[f9333,f10020]) ).
fof(f11620,plain,
! [X0,X1] :
( k1_relat_1(sK89(X0,X1)) = X1
| np__0 != X1 ),
inference(definition_unfolding,[],[f9332,f10020]) ).
fof(f11621,plain,
! [X0,X1] :
( r1_tarski(k2_relat_1(sK89(X0,X1)),X0)
| np__0 != X1 ),
inference(definition_unfolding,[],[f9331,f10020]) ).
fof(f11622,plain,
! [X0,X1] :
( v1_relat_1(sK89(X0,X1))
| np__0 != X1 ),
inference(definition_unfolding,[],[f9330,f10020]) ).
fof(f11623,plain,
! [X0,X1] :
( v1_funct_1(sK89(X0,X1))
| np__0 != X1 ),
inference(definition_unfolding,[],[f9329,f10020]) ).
fof(f11624,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) != np__0
| k1_relat_1(X0) = np__0 ),
inference(definition_unfolding,[],[f9347,f10020,f10020]) ).
fof(f11625,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) != np__0
| k2_relat_1(X0) = np__0 ),
inference(definition_unfolding,[],[f9346,f10020,f10020]) ).
fof(f11626,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) != np__0
| np__0 = X0 ),
inference(definition_unfolding,[],[f9349,f10020,f10020]) ).
fof(f11627,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) != np__0
| np__0 = X0 ),
inference(definition_unfolding,[],[f9348,f10020,f10020]) ).
fof(f11628,plain,
np__0 = k1_relat_1(np__0),
inference(definition_unfolding,[],[f9351,f10020,f10020]) ).
fof(f11630,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(sK96(X0,X1,X2,X3),sK97(X0,X1,X2,X3)),k2_tarski(sK96(X0,X1,X2,X3),sK96(X0,X1,X2,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK96(X0,X1,X2,X3),sK97(X0,X1,X2,X3)),k2_tarski(sK96(X0,X1,X2,X3),sK96(X0,X1,X2,X3))))
| k2_zfmisc_1(X0,X1) != k1_relat_1(X3)
| k2_zfmisc_1(X0,X1) != k1_relat_1(X2)
| X2 = X3 ),
inference(definition_unfolding,[],[f9362,f11481,f11481]) ).
fof(f11631,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(sK98(X0,X1,X3,X4),sK99(X0,X1,X3,X4)),k2_tarski(sK98(X0,X1,X3,X4),sK98(X0,X1,X3,X4)))) != k1_funct_1(X4,k2_tarski(k2_tarski(sK98(X0,X1,X3,X4),sK99(X0,X1,X3,X4)),k2_tarski(sK98(X0,X1,X3,X4),sK98(X0,X1,X3,X4))))
| X3 = X4 ),
inference(definition_unfolding,[],[f9365,f11481,f11481]) ).
fof(f11632,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,[],[f9366,f10020,f11481]) ).
fof(f11633,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(sK100(X0,X1,X3,X4),sK101(X0,X1,X3,X4)),k2_tarski(sK100(X0,X1,X3,X4),sK100(X0,X1,X3,X4)))) != k1_funct_1(X4,k2_tarski(k2_tarski(sK100(X0,X1,X3,X4),sK101(X0,X1,X3,X4)),k2_tarski(sK100(X0,X1,X3,X4),sK100(X0,X1,X3,X4))))
| X3 = X4 ),
inference(definition_unfolding,[],[f9369,f11481,f11481]) ).
fof(f11634,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| r2_hidden(sK105(X0,X1,X2),X1)
| k2_relat_1(X2) = X1
| np__0 = X1 ),
inference(definition_unfolding,[],[f9377,f10020]) ).
fof(f11635,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) != sK105(X0,X1,X2)
| ~ r2_hidden(X4,X0)
| k2_relat_1(X2) = X1
| np__0 = X1 ),
inference(definition_unfolding,[],[f9376,f10020]) ).
fof(f11636,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,[],[f9378,f10020]) ).
fof(f11637,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,[],[f9379,f10020]) ).
fof(f11638,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,[],[f9382,f11481]) ).
fof(f11640,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,[],[f9380,f11481]) ).
fof(f11644,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,[],[f9383,f10020]) ).
fof(f11645,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,[],[f9390,f9747]) ).
fof(f11646,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_xboole_0(X0,X1) = sK107(X0,X1)
| r2_hidden(sK106(X0,X1),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))) ),
inference(definition_unfolding,[],[f9393,f9747]) ).
fof(f11647,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_relat_1(sK107(X0,X1))
| r2_hidden(sK106(X0,X1),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))) ),
inference(definition_unfolding,[],[f9392,f9747]) ).
fof(f11648,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(sK107(X0,X1))
| r2_hidden(sK106(X0,X1),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))) ),
inference(definition_unfolding,[],[f9391,f9747]) ).
fof(f11651,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,[],[f9408,f10367,f10020]) ).
fof(f11652,plain,
! [X0,X1] : k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)) = k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f9411,f9747]) ).
fof(f11653,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,[],[f9412,f9747]) ).
fof(f11654,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,[],[f9413,f9747]) ).
fof(f11655,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,[],[f9414,f9747]) ).
fof(f11656,plain,
! [X0,X1] : k2_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X0,X1)) = X0,
inference(definition_unfolding,[],[f9415,f9747]) ).
fof(f11657,plain,
! [X0,X1] : k4_xboole_0(X0,k2_xboole_0(X0,X1)) = np__0,
inference(definition_unfolding,[],[f9416,f10020]) ).
fof(f11658,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,[],[f9424,f9747,f9747]) ).
fof(f11659,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,[],[f9425,f9747,f9747]) ).
fof(f11660,plain,
! [X2,X0,X1] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k2_xboole_0(X0,X2)),
inference(definition_unfolding,[],[f9426,f9747]) ).
fof(f11661,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,[],[f9427,f9747,f9747,f9747,f9747,f9747]) ).
fof(f11662,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,[],[f9428,f9747,f9747]) ).
fof(f11666,plain,
! [X0,X1] :
( k2_xboole_0(X0,X1) != np__0
| np__0 = X0 ),
inference(definition_unfolding,[],[f9432,f10020,f10020]) ).
fof(f11667,plain,
! [X0] : k2_xboole_0(X0,np__0) = X0,
inference(definition_unfolding,[],[f9446,f10020]) ).
fof(f11669,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,[],[f9461,f10020]) ).
fof(f11670,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,[],[f9460,f10020]) ).
fof(f11672,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,[],[f9458,f10020]) ).
fof(f11673,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,[],[f9457,f10020]) ).
fof(f11675,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,[],[f9463,f10020]) ).
fof(f11676,plain,
np__0 = k2_relat_1(np__0),
inference(definition_unfolding,[],[f9467,f10020,f10020]) ).
fof(f11677,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,[],[f9470,f9747,f9747]) ).
fof(f11678,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,[],[f9471,f9747]) ).
fof(f11681,plain,
! [X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK110(X0,X1),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,sK110(X0,X1)),k2_tarski(X3,X3)),X0)
| k2_relat_1(X0) = X1 ),
inference(definition_unfolding,[],[f9477,f11481]) ).
fof(f11682,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK110(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK111(X0,X1),sK110(X0,X1)),k2_tarski(sK111(X0,X1),sK111(X0,X1))),X0)
| k2_relat_1(X0) = X1 ),
inference(definition_unfolding,[],[f9476,f11481]) ).
fof(f11683,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,[],[f9475,f11481]) ).
fof(f11684,plain,
! [X0,X1,X5] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(k2_tarski(k2_tarski(sK112(X0,X5),X5),k2_tarski(sK112(X0,X5),sK112(X0,X5))),X0) ),
inference(definition_unfolding,[],[f9474,f11481]) ).
fof(f11685,plain,
! [X2,X3,X0,X1] :
( k2_tarski(k2_tarski(sK113(X0,X1,X3),sK114(X0,X1,X3)),k2_tarski(sK113(X0,X1,X3),sK113(X0,X1,X3))) = X3
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X3,X2) ),
inference(definition_unfolding,[],[f9483,f11481]) ).
fof(f11686,plain,
! [X2,X3,X0] :
( r1_tarski(X0,k2_zfmisc_1(sK116(X0),sK117(X0)))
| sK115(X0) != k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)) ),
inference(definition_unfolding,[],[f9484,f11481]) ).
fof(f11687,plain,
! [X0] :
( r2_hidden(sK118(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f9488,f10020]) ).
fof(f11688,plain,
! [X2,X3,X0] :
( sK118(X0) != k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))
| ~ r2_hidden(X2,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f9487,f10020,f11481]) ).
fof(f11689,plain,
! [X2,X3,X0] :
( sK118(X0) != k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))
| ~ r2_hidden(X3,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f9486,f10020,f11481]) ).
fof(f11690,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| k2_tarski(k2_tarski(sK119(X0,X1,X2),sK120(X0,X1,X2)),k2_tarski(sK119(X0,X1,X2),sK119(X0,X1,X2))) = X2
| ~ r2_hidden(X2,X3) ),
inference(definition_unfolding,[],[f9491,f11481]) ).
fof(f11693,plain,
! [X2,X3,X0] :
( sP0(X0)
| sK124(X0) != k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))
| v1_relat_1(X0) ),
inference(definition_unfolding,[],[f9497,f11481]) ).
fof(f11694,plain,
! [X2,X3,X0] :
( sP0(X0)
| sK124(X0) != k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))
| v1_funct_1(X0) ),
inference(definition_unfolding,[],[f9495,f11481]) ).
fof(f11695,plain,
! [X0] :
( r2_hidden(k2_tarski(k2_tarski(sK125(X0),sK126(X0)),k2_tarski(sK125(X0),sK125(X0))),X0)
| v1_funct_1(X0) ),
inference(definition_unfolding,[],[f9501,f11481]) ).
fof(f11696,plain,
! [X0] :
( r2_hidden(k2_tarski(k2_tarski(sK125(X0),sK127(X0)),k2_tarski(sK125(X0),sK125(X0))),X0)
| v1_funct_1(X0) ),
inference(definition_unfolding,[],[f9500,f11481]) ).
fof(f11697,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,[],[f9499,f11481,f11481]) ).
fof(f11698,plain,
! [X0] :
( ~ v1_relat_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK128(X0),sK129(X0)),k2_tarski(sK128(X0),sK128(X0))),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f9503,f10020,f11481]) ).
fof(f11699,plain,
! [X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK130(X0,X1),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK130(X0,X1),X3),k2_tarski(sK130(X0,X1),sK130(X0,X1))),X0)
| k1_relat_1(X0) = X1 ),
inference(definition_unfolding,[],[f9507,f11481]) ).
fof(f11700,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK130(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK130(X0,X1),sK131(X0,X1)),k2_tarski(sK130(X0,X1),sK130(X0,X1))),X0)
| k1_relat_1(X0) = X1 ),
inference(definition_unfolding,[],[f9506,f11481]) ).
fof(f11701,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,[],[f9505,f11481]) ).
fof(f11702,plain,
! [X0,X1,X5] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(k2_tarski(k2_tarski(X5,sK132(X0,X5)),k2_tarski(X5,X5)),X0) ),
inference(definition_unfolding,[],[f9504,f11481]) ).
fof(f11703,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK133(X0,X1),sK134(X0,X1)),k2_tarski(sK133(X0,X1),sK133(X0,X1))),X1)
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f9510,f11481]) ).
fof(f11704,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r2_hidden(k2_tarski(k2_tarski(sK133(X0,X1),sK134(X0,X1)),k2_tarski(sK133(X0,X1),sK133(X0,X1))),X0)
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f9509,f11481]) ).
fof(f11706,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK135(X0,X1),sK136(X0,X1)),k2_tarski(sK135(X0,X1),sK135(X0,X1))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK135(X0,X1),sK136(X0,X1)),k2_tarski(sK135(X0,X1),sK135(X0,X1))),X1)
| X0 = X1 ),
inference(definition_unfolding,[],[f9514,f11481,f11481]) ).
fof(f11707,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r2_hidden(k2_tarski(k2_tarski(sK135(X0,X1),sK136(X0,X1)),k2_tarski(sK135(X0,X1),sK135(X0,X1))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK135(X0,X1),sK136(X0,X1)),k2_tarski(sK135(X0,X1),sK135(X0,X1))),X1)
| X0 = X1 ),
inference(definition_unfolding,[],[f9513,f11481,f11481]) ).
fof(f11710,plain,
! [X2,X3,X0] :
( sK137(X0) != k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))
| v1_relat_1(X0) ),
inference(definition_unfolding,[],[f9516,f11481]) ).
fof(f11711,plain,
! [X0,X4] :
( ~ v1_relat_1(X0)
| k2_tarski(k2_tarski(sK138(X4),sK139(X4)),k2_tarski(sK138(X4),sK138(X4))) = X4
| ~ r2_hidden(X4,X0) ),
inference(definition_unfolding,[],[f9515,f11481]) ).
fof(f11712,plain,
! [X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X1)
| r2_hidden(sK141(X1),X1)
| r2_hidden(sK140(X0),X0)
| X0 = X1 ),
inference(definition_unfolding,[],[f9525,f11481,f11481]) ).
fof(f11713,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X1)
| r2_hidden(sK141(X1),X1)
| r2_hidden(sK140(X0),X0)
| X0 = X1 ),
inference(definition_unfolding,[],[f9524,f11481,f11481]) ).
fof(f11714,plain,
! [X0,X1,X6,X7] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X1)
| sK141(X1) != k2_tarski(k2_tarski(X6,X7),k2_tarski(X6,X6))
| r2_hidden(sK140(X0),X0)
| X0 = X1 ),
inference(definition_unfolding,[],[f9523,f11481,f11481,f11481]) ).
fof(f11715,plain,
! [X0,X1,X6,X7] :
( r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X1)
| sK141(X1) != k2_tarski(k2_tarski(X6,X7),k2_tarski(X6,X6))
| r2_hidden(sK140(X0),X0)
| X0 = X1 ),
inference(definition_unfolding,[],[f9522,f11481,f11481,f11481]) ).
fof(f11716,plain,
! [X3,X0,X1,X4] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X1)
| r2_hidden(sK141(X1),X1)
| sK140(X0) != k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3))
| X0 = X1 ),
inference(definition_unfolding,[],[f9521,f11481,f11481,f11481]) ).
fof(f11717,plain,
! [X3,X0,X1,X4] :
( r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X1)
| r2_hidden(sK141(X1),X1)
| sK140(X0) != k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3))
| X0 = X1 ),
inference(definition_unfolding,[],[f9520,f11481,f11481,f11481]) ).
fof(f11718,plain,
! [X3,X0,X1,X6,X7,X4] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X1)
| sK141(X1) != k2_tarski(k2_tarski(X6,X7),k2_tarski(X6,X6))
| sK140(X0) != k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3))
| X0 = X1 ),
inference(definition_unfolding,[],[f9519,f11481,f11481,f11481,f11481]) ).
fof(f11719,plain,
! [X3,X0,X1,X6,X7,X4] :
( r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X1)
| sK141(X1) != k2_tarski(k2_tarski(X6,X7),k2_tarski(X6,X6))
| sK140(X0) != k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3))
| X0 = X1 ),
inference(definition_unfolding,[],[f9518,f11481,f11481,f11481,f11481]) ).
fof(f11720,plain,
! [X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK145(X0,X1),sK146(X0,X1)),k2_tarski(sK145(X0,X1),sK145(X0,X1))),X1)
| r2_hidden(sK144(X0),X0)
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f9529,f11481]) ).
fof(f11721,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK145(X0,X1),sK146(X0,X1)),k2_tarski(sK145(X0,X1),sK145(X0,X1))),X0)
| r2_hidden(sK144(X0),X0)
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f9528,f11481]) ).
fof(f11722,plain,
! [X3,X0,X1,X4] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK145(X0,X1),sK146(X0,X1)),k2_tarski(sK145(X0,X1),sK145(X0,X1))),X1)
| sK144(X0) != k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3))
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f9527,f11481,f11481]) ).
fof(f11723,plain,
! [X3,X0,X1,X4] :
( r2_hidden(k2_tarski(k2_tarski(sK145(X0,X1),sK146(X0,X1)),k2_tarski(sK145(X0,X1),sK145(X0,X1))),X0)
| sK144(X0) != k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3))
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f9526,f11481,f11481]) ).
fof(f11724,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK147(X0,X3),sK148(X0,X3)),k2_tarski(sK147(X0,X3),sK147(X0,X3))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK147(X0,X3),sK148(X0,X3)),k2_tarski(sK147(X0,X3),sK147(X0,X3))),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| X0 = X3 ),
inference(definition_unfolding,[],[f9531,f11481,f11481]) ).
fof(f11725,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(k2_tarski(k2_tarski(sK147(X0,X3),sK148(X0,X3)),k2_tarski(sK147(X0,X3),sK147(X0,X3))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK147(X0,X3),sK148(X0,X3)),k2_tarski(sK147(X0,X3),sK147(X0,X3))),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| X0 = X3 ),
inference(definition_unfolding,[],[f9530,f11481,f11481]) ).
fof(f11726,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK149(X0,X3),sK150(X0,X3)),k2_tarski(sK149(X0,X3),sK149(X0,X3))),X3)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(X0,X3) ),
inference(definition_unfolding,[],[f9533,f11481]) ).
fof(f11727,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK149(X0,X3),sK150(X0,X3)),k2_tarski(sK149(X0,X3),sK149(X0,X3))),X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(X0,X3) ),
inference(definition_unfolding,[],[f9532,f11481]) ).
fof(f11728,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3)),k2_tarski(sK151(X0,X1,X2,X3),sK151(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3)),k2_tarski(sK151(X0,X1,X2,X3),sK151(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ),
inference(definition_unfolding,[],[f9535,f11481,f11481]) ).
fof(f11729,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3)),k2_tarski(sK151(X0,X1,X2,X3),sK151(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3)),k2_tarski(sK151(X0,X1,X2,X3),sK151(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ),
inference(definition_unfolding,[],[f9534,f11481,f11481]) ).
fof(f11730,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,[],[f9536,f11481,f11481]) ).
fof(f11732,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,[],[f9538,f11481]) ).
fof(f11733,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,[],[f9537,f11481]) ).
fof(f11734,plain,
! [X2,X3,X0,X1,X4] :
( k2_tarski(k2_tarski(sK153(X0,X1,X2,X3,X4),sK154(X0,X1,X2,X3,X4)),k2_tarski(sK153(X0,X1,X2,X3,X4),sK153(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,[],[f9542,f9747,f11481]) ).
fof(f11735,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK153(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,[],[f9541,f9747,f9747]) ).
fof(f11736,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK154(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,[],[f9540,f9747,f9747]) ).
fof(f11737,plain,
! [X2,X3,X0,X1] :
( k2_tarski(k2_tarski(sK155(X1,X2,X3),sK156(X1,X2,X3)),k2_tarski(sK155(X1,X2,X3),sK155(X1,X2,X3))) = X3
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(definition_unfolding,[],[f9543,f11481]) ).
fof(f11738,plain,
! [X2,X0,X1] :
( k2_tarski(k2_tarski(sK157(X0),sK158(X0)),k2_tarski(sK157(X0),sK157(X0))) = X0
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(definition_unfolding,[],[f9546,f11481]) ).
fof(f11739,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,[],[f9548,f11481,f11481]) ).
fof(f11740,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,[],[f9547,f11481,f11481]) ).
fof(f11741,plain,
! [X2,X0,X1,X4,X5] :
( ~ r2_hidden(sK159(X0,X1,X2),X2)
| sK159(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,[],[f9556,f11481]) ).
fof(f11742,plain,
! [X2,X0,X1] :
( r2_hidden(sK159(X0,X1,X2),X2)
| sK159(X0,X1,X2) = k2_tarski(k2_tarski(sK160(X0,X1,X2),sK161(X0,X1,X2)),k2_tarski(sK160(X0,X1,X2),sK160(X0,X1,X2)))
| k2_zfmisc_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f9553,f11481]) ).
fof(f11743,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,[],[f9552,f11481]) ).
fof(f11744,plain,
! [X2,X0,X1,X8] :
( k2_zfmisc_1(X0,X1) != X2
| ~ r2_hidden(X8,X2)
| k2_tarski(k2_tarski(sK162(X0,X1,X8),sK163(X0,X1,X8)),k2_tarski(sK162(X0,X1,X8),sK162(X0,X1,X8))) = X8 ),
inference(definition_unfolding,[],[f9549,f11481]) ).
fof(f11746,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP1(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK170(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK170(X0,X1,X5,X6)))
| sK169(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)
| sP2(X0,X1,X2,X3,X4,X5) ),
inference(definition_unfolding,[],[f9585,f10020]) ).
fof(f11747,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP1(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK170(X0,X1,X5,X6),X1)
| sK169(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)
| sP2(X0,X1,X2,X3,X4,X5) ),
inference(definition_unfolding,[],[f9584,f10020]) ).
fof(f11748,plain,
! [X2,X3,X10,X0,X1,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5)
| ~ m1_subset_1(X10,X0)
| ~ r3_binop_1(X0,X10,X4)
| k1_funct_1(sK171(X0,X1,X2,X3,X4,X5),np__0) = X10 ),
inference(definition_unfolding,[],[f9575,f10020]) ).
fof(f11751,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)
| sP3(X4,X2,X3,X5,X0,X1)
| np__0 = X3 ),
inference(definition_unfolding,[],[f9594,f10020]) ).
fof(f11752,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(sK201(X0,X1),X3),k4_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(definition_unfolding,[],[f9714,f10367,f10367,f10367]) ).
fof(f11753,plain,
! [X1] :
( ~ m1_subset_1(X1,sK202)
| ~ v1_xboole_0(k4_xboole_0(sK202,k2_tarski(X1,X1))) ),
inference(definition_unfolding,[],[f9718,f10367]) ).
fof(f11755,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| np__0 = k4_xboole_0(k2_tarski(X0,X0),X1) ),
inference(definition_unfolding,[],[f9730,f10020,f10367]) ).
fof(f11759,plain,
! [X0,X1] :
( k2_tarski(X1,X1) = X0
| np__0 = X0
| np__0 != k4_xboole_0(X0,k2_tarski(X1,X1)) ),
inference(definition_unfolding,[],[f9733,f10020,f10367,f10020,f10367]) ).
fof(f11760,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| k4_xboole_0(X0,k2_tarski(X1,X1)) = X0 ),
inference(definition_unfolding,[],[f9735,f10367]) ).
fof(f11761,plain,
! [X0,X1] :
( k4_xboole_0(X0,k2_tarski(X1,X1)) != X0
| ~ r2_hidden(X1,X0) ),
inference(definition_unfolding,[],[f9734,f10367]) ).
fof(f11762,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,k4_xboole_0(X1,k2_tarski(X2,X2))) ),
inference(definition_unfolding,[],[f9738,f10367]) ).
fof(f11764,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k4_xboole_0(X1,k2_tarski(X2,X2)))
| X0 != X2 ),
inference(definition_unfolding,[],[f9736,f10367]) ).
fof(f11765,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,[],[f9739,f10367]) ).
fof(f11766,plain,
! [X0,X1] :
( np__0 != k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1))
| X0 = X1 ),
inference(definition_unfolding,[],[f9740,f10020,f10367,f10367]) ).
fof(f11767,plain,
! [X0,X1] :
( X0 = X1
| k2_tarski(X0,X0) = k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) ),
inference(definition_unfolding,[],[f9742,f10367,f10367,f10367]) ).
fof(f11768,plain,
! [X0,X1] :
( k2_tarski(X0,X0) != k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1))
| X0 != X1 ),
inference(definition_unfolding,[],[f9741,f10367,f10367,f10367]) ).
fof(f11769,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,[],[f9743,f9747,f9747,f9747]) ).
fof(f11770,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,[],[f9745,f9747,f9747,f9747]) ).
fof(f11771,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,[],[f9746,f9747,f9747]) ).
fof(f11772,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f9748,f9747]) ).
fof(f11773,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k4_xboole_0(X1,X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f9749,f10020]) ).
fof(f11774,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k4_xboole_0(X0,X1) = np__0 ),
inference(definition_unfolding,[],[f9751,f10020]) ).
fof(f11775,plain,
! [X0,X1] :
( k4_xboole_0(X0,X1) != np__0
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f9750,f10020]) ).
fof(f11776,plain,
! [X0] : np__0 = k4_xboole_0(np__0,X0),
inference(definition_unfolding,[],[f9757,f10020,f10020]) ).
fof(f11777,plain,
! [X0] : k4_xboole_0(X0,np__0) = X0,
inference(definition_unfolding,[],[f9758,f10020]) ).
fof(f11778,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X0,X1))
| v1_finset_1(X1)
| np__0 = X0 ),
inference(definition_unfolding,[],[f9799,f10020]) ).
fof(f11779,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X1,X0))
| v1_finset_1(X1)
| np__0 = X0 ),
inference(definition_unfolding,[],[f9800,f10020]) ).
fof(f11780,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| r2_hidden(sK209(X1),X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f9803,f10020]) ).
fof(f11781,plain,
! [X3,X0,X1] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r1_tarski(sK209(X1),X3)
| ~ r2_hidden(X3,X1)
| sK209(X1) = X3
| np__0 = X1 ),
inference(definition_unfolding,[],[f9802,f10020]) ).
fof(f11784,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| v1_finset_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f9811,f9747]) ).
fof(f11787,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| r2_hidden(sK215(X0,X1),X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f9848,f10020]) ).
fof(f11788,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| m1_subset_1(sK215(X0,X1),X0)
| np__0 = X1 ),
inference(definition_unfolding,[],[f9847,f10020]) ).
fof(f11789,plain,
k2_tarski(np__0,np__0) = k5_finsub_1(np__0),
inference(definition_unfolding,[],[f9852,f10367,f10020,f10020]) ).
fof(f11790,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,[],[f9854,f9747,f9747]) ).
fof(f11791,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,[],[f9856,f9747,f9747]) ).
fof(f11792,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,[],[f9857,f9747,f9747]) ).
fof(f11793,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f9858,f9747]) ).
fof(f11795,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X0,k2_zfmisc_1(X3,X4))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2))
| r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k4_xboole_0(X1,X3)),k4_xboole_0(X2,k4_xboole_0(X2,X4)))) ),
inference(definition_unfolding,[],[f9860,f9747,f9747]) ).
fof(f11796,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,[],[f9861,f9747]) ).
fof(f11797,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,[],[f9862,f9747,f9747,f9747]) ).
fof(f11800,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,[],[f9865,f9747,f9747]) ).
fof(f11801,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,[],[f9866,f10367,f9747,f10367]) ).
fof(f11802,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,[],[f9867,f10367,f9747,f10367]) ).
fof(f11803,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,[],[f9868,f10367,f9747,f10367,f10367]) ).
fof(f11805,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X0 ),
inference(definition_unfolding,[],[f9870,f9747]) ).
fof(f11806,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,[],[f9871,f9747,f9747]) ).
fof(f11807,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,[],[f9872,f9747,f9747]) ).
fof(f11808,plain,
! [X2,X0,X1] :
( ~ r1_tarski(sK216(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,[],[f9875,f9747]) ).
fof(f11809,plain,
! [X2,X0,X1] :
( r1_tarski(sK216(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,[],[f9874,f9747]) ).
fof(f11810,plain,
! [X2,X0,X1] :
( r1_tarski(sK216(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,[],[f9873,f9747]) ).
fof(f11811,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,[],[f9876,f9747]) ).
fof(f11815,plain,
! [X0] : np__0 = k4_xboole_0(X0,k4_xboole_0(X0,np__0)),
inference(definition_unfolding,[],[f9880,f10020,f9747,f10020]) ).
fof(f11817,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(definition_unfolding,[],[f9882,f9747,f9747]) ).
fof(f11818,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK217(X0,X1,X2),X2)
| ~ r2_hidden(sK217(X0,X1,X2),X1)
| ~ r2_hidden(sK217(X0,X1,X2),X0)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 ),
inference(definition_unfolding,[],[f9888,f9747]) ).
fof(f11819,plain,
! [X2,X0,X1] :
( r2_hidden(sK217(X0,X1,X2),X2)
| r2_hidden(sK217(X0,X1,X2),X0)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 ),
inference(definition_unfolding,[],[f9887,f9747]) ).
fof(f11820,plain,
! [X2,X0,X1] :
( r2_hidden(sK217(X0,X1,X2),X2)
| r2_hidden(sK217(X0,X1,X2),X1)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 ),
inference(definition_unfolding,[],[f9886,f9747]) ).
fof(f11821,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,[],[f9885,f9747]) ).
fof(f11823,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,[],[f9883,f9747]) ).
fof(f11825,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,[],[f9925,f10020,f10020,f10020,f10020,f10020,f10020]) ).
fof(f11827,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,[],[f9923,f10020,f10020,f10020,f10020,f10020,f10020,f10020]) ).
fof(f11828,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,[],[f9922,f10020,f10020,f10020,f10020,f10020,f10020,f10020]) ).
fof(f11829,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,sK225(X1,X2,X3,X4,X6),sK226(X1,X2,X3,X4,X6))) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,sK225(X1,X2,X3,X4,X6)),k8_funct_2(X1,X3,X6,sK226(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,[],[f9934,f10020]) ).
fof(f11830,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(sK226(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,[],[f9933,f10020]) ).
fof(f11831,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(sK225(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,[],[f9932,f10020]) ).
fof(f11832,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,[],[f9935,f10020]) ).
fof(f11833,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,sK227(X0,X1,X3,X4,X5)) != X5
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| np__0 = X3 ),
inference(definition_unfolding,[],[f9939,f10020]) ).
fof(f11834,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(sK227(X0,X1,X3,X4,X5),X3)
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| np__0 = X3 ),
inference(definition_unfolding,[],[f9938,f10020]) ).
fof(f11835,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(sK227(X0,X1,X3,X4,X5),X1)
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| np__0 = X3 ),
inference(definition_unfolding,[],[f9937,f10020]) ).
fof(f11836,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,[],[f9940,f10020]) ).
fof(f11837,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,[],[f9942,f10020,f10020]) ).
fof(f11838,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,[],[f9943,f10020]) ).
fof(f11839,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,sK233(X0,X2,X3,X6),sK234(X0,X2,X3,X6))) != k2_binop_1(X0,X0,X0,X3,k8_funct_2(k5_finsub_1(X2),X0,X6,sK233(X0,X2,X3,X6)),k8_funct_2(k5_finsub_1(X2),X0,X6,sK234(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,[],[f9967,f10020]) ).
fof(f11840,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(sK234(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,[],[f9966,f10020]) ).
fof(f11841,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(sK233(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,[],[f9965,f10020]) ).
fof(f11842,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k2_setwiseo(X0,X1) = k2_tarski(X1,X1) ),
inference(definition_unfolding,[],[f9985,f10367]) ).
fof(f11843,plain,
! [X0] :
( np__0 != k1_card_1(X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10019,f10020]) ).
fof(f11845,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,[],[f10099,f11481]) ).
fof(f11846,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,[],[f10103,f10367]) ).
fof(f11847,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,[],[f10104,f10367]) ).
fof(f11848,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,[],[f10154,f10020]) ).
fof(f11849,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,[],[f10206,f10020]) ).
fof(f11850,plain,
! [X0] :
( ~ v1_relat_1(X0)
| np__0 = k5_relat_1(np__0,X0) ),
inference(definition_unfolding,[],[f10208,f10020,f10020]) ).
fof(f11851,plain,
! [X0] :
( ~ v1_relat_1(X0)
| np__0 = k5_relat_1(X0,np__0) ),
inference(definition_unfolding,[],[f10207,f10020,f10020]) ).
fof(f11852,plain,
! [X2,X0,X1,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK267(X0,X1,X2),sK268(X0,X1,X2)),k2_tarski(sK267(X0,X1,X2),sK267(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X5,sK268(X0,X1,X2)),k2_tarski(X5,X5)),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK267(X0,X1,X2),X5),k2_tarski(sK267(X0,X1,X2),sK267(X0,X1,X2))),X0)
| k5_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f10223,f11481,f11481,f11481]) ).
fof(f11853,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK267(X0,X1,X2),sK268(X0,X1,X2)),k2_tarski(sK267(X0,X1,X2),sK267(X0,X1,X2))),X2)
| r2_hidden(k2_tarski(k2_tarski(sK267(X0,X1,X2),sK269(X0,X1,X2)),k2_tarski(sK267(X0,X1,X2),sK267(X0,X1,X2))),X0)
| k5_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f10222,f11481,f11481]) ).
fof(f11854,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK267(X0,X1,X2),sK268(X0,X1,X2)),k2_tarski(sK267(X0,X1,X2),sK267(X0,X1,X2))),X2)
| r2_hidden(k2_tarski(k2_tarski(sK269(X0,X1,X2),sK268(X0,X1,X2)),k2_tarski(sK269(X0,X1,X2),sK269(X0,X1,X2))),X1)
| k5_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f10221,f11481,f11481]) ).
fof(f11855,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,[],[f10220,f11481,f11481,f11481]) ).
fof(f11856,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,sK270(X0,X1,X7,X8)),k2_tarski(X7,X7)),X0) ),
inference(definition_unfolding,[],[f10219,f11481,f11481]) ).
fof(f11857,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(sK270(X0,X1,X7,X8),X8),k2_tarski(sK270(X0,X1,X7,X8),sK270(X0,X1,X7,X8))),X1) ),
inference(definition_unfolding,[],[f10218,f11481,f11481]) ).
fof(f11858,plain,
! [X2,X0,X1] :
( k2_tarski(X2,X2) != X0
| k1_card_1(X0) = k1_card_1(k2_tarski(X1,X1)) ),
inference(definition_unfolding,[],[f10235,f10367,f10367]) ).
fof(f11859,plain,
! [X0,X1] :
( k1_card_1(X0) != k1_card_1(k2_tarski(X1,X1))
| k2_tarski(sK271(X0),sK271(X0)) = X0 ),
inference(definition_unfolding,[],[f10234,f10367,f10367]) ).
fof(f11860,plain,
np__0 = k1_card_1(np__0),
inference(definition_unfolding,[],[f10236,f10020,f10020]) ).
fof(f11861,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| np__0 != X0
| sP9(X0,X2) ),
inference(definition_unfolding,[],[f10274,f10020]) ).
fof(f11862,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| np__0 = X1
| sP9(X0,X2) ),
inference(definition_unfolding,[],[f10273,f10020]) ).
fof(f11863,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_tarski(X0,X0),X1)
| ~ v1_funct_1(X2)
| v2_funct_1(X2) ),
inference(definition_unfolding,[],[f10275,f10367]) ).
fof(f11864,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,np__0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(definition_unfolding,[],[f10276,f10020]) ).
fof(f11865,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,np__0,X0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(definition_unfolding,[],[f10277,f10020]) ).
fof(f11866,plain,
! [X2,X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k2_tarski(sK282(X0),sK282(X0))),k2_tarski(X2,X2))
| v2_funct_1(X0) ),
inference(definition_unfolding,[],[f10283,f10367,f10367]) ).
fof(f11867,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(sK283(X0,X3),sK283(X0,X3))) ),
inference(definition_unfolding,[],[f10282,f10367,f10367]) ).
fof(f11868,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(sK285(X0,X1),sK285(X0,X1))
| ~ r2_hidden(X1,k2_relat_1(X0)) ),
inference(definition_unfolding,[],[f10289,f10367,f10367]) ).
fof(f11869,plain,
! [X0,X4] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k2_tarski(X4,X4) != k10_relat_1(X0,k2_tarski(sK286(X0),sK286(X0)))
| v2_funct_1(X0) ),
inference(definition_unfolding,[],[f10287,f10367,f10367]) ).
fof(f11870,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,k4_xboole_0(sK289(X0),k4_xboole_0(sK289(X0),sK290(X0)))) != k4_xboole_0(k9_relat_1(X0,sK289(X0)),k4_xboole_0(k9_relat_1(X0,sK289(X0)),k9_relat_1(X0,sK290(X0))))
| v2_funct_1(X0) ),
inference(definition_unfolding,[],[f10293,f9747,f9747]) ).
fof(f11871,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,[],[f10294,f9747,f9747]) ).
fof(f11873,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,[],[f10312,f11481,f11481]) ).
fof(f11874,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,[],[f10311,f11481,f11481]) ).
fof(f11875,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,[],[f10313,f11481,f11481]) ).
fof(f11876,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,[],[f10314,f10020]) ).
fof(f11880,plain,
! [X2,X0,X1] :
( k2_tarski(X1,X1) != X0
| k4_xboole_0(X0,k2_tarski(X1,X2)) = np__0 ),
inference(definition_unfolding,[],[f10321,f10020,f10367]) ).
fof(f11881,plain,
! [X2,X0,X1] :
( k2_tarski(X2,X2) != X0
| k4_xboole_0(X0,k2_tarski(X1,X2)) = np__0 ),
inference(definition_unfolding,[],[f10320,f10020,f10367]) ).
fof(f11883,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,[],[f10318,f10020,f10367,f10367,f10020]) ).
fof(f11884,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,[],[f10323,f10020,f10367,f10367]) ).
fof(f11885,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,[],[f10326,f10020]) ).
fof(f11886,plain,
! [X2,X0,X1] :
( k4_xboole_0(k2_tarski(X0,X1),X2) != np__0
| r2_hidden(X0,X2) ),
inference(definition_unfolding,[],[f10325,f10020]) ).
fof(f11887,plain,
! [X2,X0,X1] :
( k4_xboole_0(k2_tarski(X0,X1),X2) != np__0
| r2_hidden(X1,X2) ),
inference(definition_unfolding,[],[f10324,f10020]) ).
fof(f11888,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,[],[f10333,f10367]) ).
fof(f11889,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,[],[f10332,f10367]) ).
fof(f11890,plain,
! [X2,X0,X1] :
( k2_tarski(X0,X0) != k4_xboole_0(k2_tarski(X0,X1),X2)
| ~ r2_hidden(X0,X2) ),
inference(definition_unfolding,[],[f10331,f10367]) ).
fof(f11891,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,[],[f10330,f10367]) ).
fof(f11892,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,[],[f10334,f9747]) ).
fof(f11893,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,[],[f10336,f10367,f9747]) ).
fof(f11894,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,[],[f10335,f10367,f9747]) ).
fof(f11895,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,[],[f10337,f10367,f9747]) ).
fof(f11896,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,[],[f10340,f9747]) ).
fof(f11897,plain,
! [X2,X0,X1] : k2_xboole_0(k2_tarski(X0,X1),X2) != np__0,
inference(definition_unfolding,[],[f10341,f10020]) ).
fof(f11900,plain,
! [X2,X0,X1] :
( k2_tarski(X2,X2) != X0
| r1_tarski(X0,k2_tarski(X1,X2)) ),
inference(definition_unfolding,[],[f10346,f10367]) ).
fof(f11901,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,[],[f10344,f10020,f10367,f10367]) ).
fof(f11902,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,[],[f10353,f10367,f11481,f11481]) ).
fof(f11903,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,[],[f10352,f10367,f11481,f11481]) ).
fof(f11904,plain,
! [X0] : k1_zfmisc_1(k2_tarski(X0,X0)) = k2_tarski(np__0,k2_tarski(X0,X0)),
inference(definition_unfolding,[],[f10354,f10367,f10020,f10367]) ).
fof(f11905,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,[],[f10356,f10367,f10367]) ).
fof(f11906,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_tarski(X0,X1),k2_tarski(X2,X2))
| X0 = X2 ),
inference(definition_unfolding,[],[f10357,f10367]) ).
fof(f11908,plain,
! [X0,X1] :
( X0 = X1
| k2_tarski(X0,X0) = k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)) ),
inference(definition_unfolding,[],[f10359,f10367,f10367]) ).
fof(f11909,plain,
! [X0,X1] : np__0 = k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X1)),
inference(definition_unfolding,[],[f10360,f10020,f10367]) ).
fof(f11911,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X1)),
inference(definition_unfolding,[],[f10362,f10367]) ).
fof(f11912,plain,
! [X0,X1] : r1_tarski(k2_tarski(X0,X0),k2_tarski(X0,X1)),
inference(definition_unfolding,[],[f10363,f10367]) ).
fof(f11913,plain,
! [X2,X0,X1] :
( k2_tarski(X1,X2) != k2_tarski(X0,X0)
| X1 = X2 ),
inference(definition_unfolding,[],[f10365,f10367]) ).
fof(f11914,plain,
! [X2,X0,X1] :
( k2_tarski(X1,X2) != k2_tarski(X0,X0)
| X0 = X1 ),
inference(definition_unfolding,[],[f10366,f10367]) ).
fof(f11915,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,[],[f10560,f11481,f11481,f11481]) ).
fof(f11916,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,[],[f10561,f11481,f11481]) ).
fof(f11919,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,np__0,X0)
| ~ v1_funct_1(X1)
| v1_partfun1(X1,np__0,X0) ),
inference(definition_unfolding,[],[f10576,f10020,f10020]) ).
fof(f11920,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,[],[f10577,f10020,f10020]) ).
fof(f11921,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,[],[f10634,f10020,f10020]) ).
fof(f11922,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,[],[f10638,f10367,f10367]) ).
fof(f11923,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,[],[f10649,f10367,f10367,f10020,f10367,f10367]) ).
fof(f11924,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,[],[f10650,f10020,f10020,f10020,f10020]) ).
fof(f11925,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,[],[f10652,f10020]) ).
fof(f11926,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,[],[f10651,f10020]) ).
fof(f11927,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| np__0 = k10_setwiseo(X0,X1,k1_setwiseo(X0),X2) ),
inference(definition_unfolding,[],[f10675,f10020]) ).
fof(f11928,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,[],[f10691,f10020]) ).
fof(f11929,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,sK341(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK341(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,[],[f10694,f10020]) ).
fof(f11930,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(sK341(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,[],[f10693,f10020]) ).
fof(f11931,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(sK341(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,[],[f10692,f10020]) ).
fof(f11932,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,sK342(X0,X1,X2,X3,X4)),X1)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| np__0 = X3 ),
inference(definition_unfolding,[],[f10697,f10020]) ).
fof(f11933,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(sK342(X0,X1,X2,X3,X4),X3)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| np__0 = X3 ),
inference(definition_unfolding,[],[f10696,f10020]) ).
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))
| 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(sK342(X0,X1,X2,X3,X4),X2)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| np__0 = X3 ),
inference(definition_unfolding,[],[f10695,f10020]) ).
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))
| 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,sK343(X0,X1,X2,X3,X4)) != X1
| k2_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f10701,f10020]) ).
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))
| 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(sK343(X0,X1,X2,X3,X4),X3)
| k2_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f10700,f10020]) ).
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))
| 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(sK343(X0,X1,X2,X3,X4),X2)
| k2_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f10699,f10020]) ).
fof(f11938,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,sK346(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK346(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,[],[f10714,f10020]) ).
fof(f11939,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(sK346(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,[],[f10713,f10020]) ).
fof(f11940,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(sK346(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,[],[f10712,f10020]) ).
fof(f11941,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,sK347(X0,X1,X2,X3,X4)))
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| np__0 = X3 ),
inference(definition_unfolding,[],[f10717,f10020]) ).
fof(f11942,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(sK347(X0,X1,X2,X3,X4),X3)
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| np__0 = X3 ),
inference(definition_unfolding,[],[f10716,f10020]) ).
fof(f11943,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(sK347(X0,X1,X2,X3,X4),X2)
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| np__0 = X3 ),
inference(definition_unfolding,[],[f10715,f10020]) ).
fof(f11944,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,[],[f10718,f10020]) ).
fof(f11945,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,sK348(X0,X1,X2,X3,X4)) != X1
| k3_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f10722,f10020]) ).
fof(f11946,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(sK348(X0,X1,X2,X3,X4),X3)
| k3_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f10721,f10020]) ).
fof(f11947,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(sK348(X0,X1,X2,X3,X4),X2)
| k3_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f10720,f10020]) ).
fof(f11948,plain,
! [X0] :
( ~ v1_xcmplx_0(X0)
| v1_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f10755,f10367]) ).
fof(f11949,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(k2_tarski(k2_tarski(np__2,np__0),k2_tarski(np__2,np__2))),k10_qc_lang1(X0)),k10_qc_lang1(X1)) ),
inference(definition_unfolding,[],[f10768,f11481]) ).
fof(f11950,plain,
np__0 = k2_finseq_1(np__0),
inference(definition_unfolding,[],[f10771,f10020]) ).
fof(f11951,plain,
k2_finseq_1(np__1) = k2_tarski(np__1,np__1),
inference(definition_unfolding,[],[f10770,f10367]) ).
fof(f11953,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,[],[f10853,f10020,f10020]) ).
fof(f11955,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,[],[f10860,f11481,f11481,f11481,f11481,f11481,f11481,f11481,f11481,f11481]) ).
fof(f11956,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,[],[f10863,f11481,f11481,f11481,f11481,f11481]) ).
fof(f11957,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,[],[f10862,f11481,f11481,f11481,f11481]) ).
fof(f11958,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,[],[f10861,f11481,f11481,f11481,f11481]) ).
fof(f11967,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(sK385(X0,X1,X2),sK387(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2))),k2_tarski(k2_tarski(sK386(X0,X1,X2),sK388(X0,X1,X2)),k2_tarski(sK386(X0,X1,X2),sK386(X0,X1,X2)))),k2_tarski(k2_tarski(k2_tarski(sK385(X0,X1,X2),sK387(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2))),k2_tarski(k2_tarski(sK385(X0,X1,X2),sK387(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2)))))) != k2_tarski(k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(sK385(X0,X1,X2),sK386(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2)))),k1_funct_1(X1,k2_tarski(k2_tarski(sK387(X0,X1,X2),sK388(X0,X1,X2)),k2_tarski(sK387(X0,X1,X2),sK387(X0,X1,X2))))),k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(sK385(X0,X1,X2),sK386(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2)))),k1_funct_1(X0,k2_tarski(k2_tarski(sK385(X0,X1,X2),sK386(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2))))))
| ~ sP17(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(definition_unfolding,[],[f10876,f11481,f11481,f11481,f11481,f11481,f11481]) ).
fof(f11968,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(sK385(X0,X1,X2),sK386(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2))),k1_relat_1(X0))
| ~ sP17(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(definition_unfolding,[],[f10875,f11481]) ).
fof(f11969,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(sK387(X0,X1,X2),sK388(X0,X1,X2)),k2_tarski(sK387(X0,X1,X2),sK387(X0,X1,X2))),k1_relat_1(X1))
| ~ sP17(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(definition_unfolding,[],[f10874,f11481]) ).
fof(f11970,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,[],[f10872,f11481,f11481,f11481,f11481,f11481,f11481,f11481,f11481]) ).
fof(f11971,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f11008,f10367]) ).
fof(f11972,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v2_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f11007,f10367]) ).
fof(f11973,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v3_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f11006,f10367]) ).
fof(f11974,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v5_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f11005,f10367]) ).
fof(f11977,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,[],[f11163,f10020]) ).
fof(f11978,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,[],[f11162,f10020]) ).
fof(f11979,plain,
v1_relat_1(np__0),
inference(definition_unfolding,[],[f11166,f10020]) ).
fof(f11980,plain,
v1_funct_1(np__0),
inference(definition_unfolding,[],[f11165,f10020]) ).
fof(f11981,plain,
v1_finseq_1(np__0),
inference(definition_unfolding,[],[f11164,f10020]) ).
fof(f11982,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,[],[f11187,f9747]) ).
fof(f11983,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,[],[f11194,f9747]) ).
fof(f11984,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_funct_1(X1,sK416(X1,X2)) != k1_funct_1(X2,sK416(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,[],[f11199,f9747]) ).
fof(f11985,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK416(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,[],[f11198,f9747]) ).
fof(f11987,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,[],[f11205,f10020]) ).
fof(f11988,plain,
! [X0] : np__0 = k7_relat_1(np__0,X0),
inference(definition_unfolding,[],[f11210,f10020,f10020]) ).
fof(f11989,plain,
! [X0] :
( ~ v1_relat_1(X0)
| np__0 = k7_relat_1(X0,np__0) ),
inference(definition_unfolding,[],[f11211,f10020,f10020]) ).
fof(f11990,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,[],[f11213,f9747,f9747]) ).
fof(f11991,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,[],[f11221,f9747]) ).
fof(f11992,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,[],[f11225,f9747]) ).
fof(f11993,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,[],[f11227,f10020]) ).
fof(f11994,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,[],[f11226,f10020]) ).
fof(f11995,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,[],[f11229,f9747]) ).
fof(f11996,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK417(X0,X1,X2),sK418(X0,X1,X2)),k2_tarski(sK417(X0,X1,X2),sK417(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK417(X0,X1,X2),sK418(X0,X1,X2)),k2_tarski(sK417(X0,X1,X2),sK417(X0,X1,X2))),X0)
| ~ r2_hidden(sK417(X0,X1,X2),X1)
| k7_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f11241,f11481,f11481]) ).
fof(f11997,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK417(X0,X1,X2),sK418(X0,X1,X2)),k2_tarski(sK417(X0,X1,X2),sK417(X0,X1,X2))),X2)
| r2_hidden(sK417(X0,X1,X2),X1)
| k7_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f11240,f11481]) ).
fof(f11998,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK417(X0,X1,X2),sK418(X0,X1,X2)),k2_tarski(sK417(X0,X1,X2),sK417(X0,X1,X2))),X2)
| r2_hidden(k2_tarski(k2_tarski(sK417(X0,X1,X2),sK418(X0,X1,X2)),k2_tarski(sK417(X0,X1,X2),sK417(X0,X1,X2))),X0)
| k7_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f11239,f11481,f11481]) ).
fof(f11999,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,[],[f11238,f11481,f11481]) ).
fof(f12000,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,[],[f11237,f11481]) ).
fof(f12001,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,[],[f11236,f11481,f11481]) ).
fof(f12002,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,[],[f11249,f10020]) ).
fof(f12003,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,[],[f11248,f10020]) ).
fof(f12004,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,[],[f11247,f10020]) ).
fof(f12005,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,[],[f11250,f10020,f10020]) ).
fof(f12006,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,[],[f11251,f10020,f10020]) ).
fof(f12007,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,[],[f11254,f9747,f9747]) ).
fof(f12008,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,[],[f11255,f9747,f9747]) ).
fof(f12009,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,[],[f11256,f9747,f9747]) ).
fof(f12010,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,[],[f11257,f9747]) ).
fof(f12011,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| np__0 = k10_relat_1(X1,k2_tarski(sK419(X0,X1),sK419(X0,X1)))
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(definition_unfolding,[],[f11261,f10020,f10367]) ).
fof(f12012,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,[],[f11264,f10020,f10367]) ).
fof(f12013,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,[],[f11263,f10020,f10367]) ).
fof(f12014,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,[],[f11266,f9747,f9747]) ).
fof(f12015,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,[],[f11277,f9747,f9747]) ).
fof(f12016,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,[],[f11279,f10020,f10020]) ).
fof(f12017,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,[],[f11281,f10020]) ).
fof(f12018,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,[],[f11280,f10020]) ).
fof(f12019,plain,
! [X0] : np__0 = k10_relat_1(np__0,X0),
inference(definition_unfolding,[],[f11282,f10020,f10020]) ).
fof(f12020,plain,
! [X0] :
( ~ v1_relat_1(X0)
| np__0 = k10_relat_1(X0,np__0) ),
inference(definition_unfolding,[],[f11283,f10020,f10020]) ).
fof(f12021,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,[],[f11286,f9747]) ).
fof(f12023,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k10_relat_1(X2,X1))
| r2_hidden(k2_tarski(k2_tarski(X0,sK421(X0,X1,X2)),k2_tarski(X0,X0)),X2) ),
inference(definition_unfolding,[],[f11289,f11481]) ).
fof(f12024,plain,
! [X2,X0,X1,X4] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK422(X0,X1,X2),X2)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK422(X0,X1,X2),X4),k2_tarski(sK422(X0,X1,X2),sK422(X0,X1,X2))),X0)
| k10_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f11297,f11481]) ).
fof(f12025,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK422(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK422(X0,X1,X2),sK423(X0,X1,X2)),k2_tarski(sK422(X0,X1,X2),sK422(X0,X1,X2))),X0)
| k10_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f11296,f11481]) ).
fof(f12026,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,[],[f11294,f11481]) ).
fof(f12027,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,sK424(X0,X1,X6)),k2_tarski(X6,X6)),X0) ),
inference(definition_unfolding,[],[f11293,f11481]) ).
fof(f12028,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,[],[f11301,f10020]) ).
fof(f12029,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,[],[f11302,f10367,f10367]) ).
fof(f12030,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,[],[f11303,f10020,f10020]) ).
fof(f12031,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,[],[f11304,f10020,f10020]) ).
fof(f12032,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,[],[f11306,f10367,f10367]) ).
fof(f12033,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,[],[f11319,f9747,f9747]) ).
fof(f12034,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,[],[f11321,f10020,f10020]) ).
fof(f12035,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,[],[f11323,f10020]) ).
fof(f12036,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,[],[f11322,f10020]) ).
fof(f12037,plain,
! [X0] : np__0 = k9_relat_1(np__0,X0),
inference(definition_unfolding,[],[f11324,f10020,f10020]) ).
fof(f12038,plain,
! [X0] :
( ~ v1_relat_1(X0)
| np__0 = k9_relat_1(X0,np__0) ),
inference(definition_unfolding,[],[f11325,f10020,f10020]) ).
fof(f12039,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,[],[f11328,f9747]) ).
fof(f12041,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k9_relat_1(X2,X1))
| r2_hidden(k2_tarski(k2_tarski(sK428(X0,X1,X2),X0),k2_tarski(sK428(X0,X1,X2),sK428(X0,X1,X2))),X2) ),
inference(definition_unfolding,[],[f11331,f11481]) ).
fof(f12042,plain,
! [X2,X0,X1,X4] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK429(X0,X1,X2),X2)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X4,sK429(X0,X1,X2)),k2_tarski(X4,X4)),X0)
| k9_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f11339,f11481]) ).
fof(f12043,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK429(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK430(X0,X1,X2),sK429(X0,X1,X2)),k2_tarski(sK430(X0,X1,X2),sK430(X0,X1,X2))),X0)
| k9_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f11338,f11481]) ).
fof(f12044,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,[],[f11336,f11481]) ).
fof(f12045,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(sK431(X0,X1,X6),X6),k2_tarski(sK431(X0,X1,X6),sK431(X0,X1,X6))),X0) ),
inference(definition_unfolding,[],[f11335,f11481]) ).
fof(f12046,plain,
! [X0] :
( r2_hidden(sK432(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11341,f10020]) ).
fof(f12047,plain,
! [X2,X3,X0,X6,X4,X5] :
( ~ r2_hidden(X6,sK432(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,[],[f11340,f10020]) ).
fof(f12048,plain,
! [X0] :
( r2_hidden(sK433(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11343,f10020]) ).
fof(f12049,plain,
! [X2,X3,X0,X4,X5] :
( ~ r2_hidden(X5,sK433(X0))
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11342,f10020]) ).
fof(f12050,plain,
! [X0] :
( r2_hidden(sK434(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11345,f10020]) ).
fof(f12051,plain,
! [X2,X3,X0,X4] :
( ~ r2_hidden(X4,sK434(X0))
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11344,f10020]) ).
fof(f12052,plain,
! [X0] :
( r2_hidden(sK435(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11347,f10020]) ).
fof(f12053,plain,
! [X2,X3,X0] :
( ~ r2_hidden(X3,sK435(X0))
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11346,f10020]) ).
fof(f12054,plain,
! [X0] :
( r2_hidden(sK436(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11349,f10020]) ).
fof(f12055,plain,
! [X2,X0] :
( ~ r2_hidden(X2,sK436(X0))
| r1_xboole_0(X2,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11348,f10020]) ).
fof(f12056,plain,
! [X0] :
( r2_hidden(sK437(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11351,f10020]) ).
fof(f12057,plain,
! [X0] :
( r1_xboole_0(sK437(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11350,f10020]) ).
fof(f12058,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,[],[f11353,f10367,f10367]) ).
fof(f12059,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,[],[f11352,f10367,f10367]) ).
fof(f12061,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| r1_xboole_0(k2_tarski(X0,X0),X1) ),
inference(definition_unfolding,[],[f11357,f10367]) ).
fof(f12063,plain,
! [X0,X1] :
( X0 = X1
| r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) ),
inference(definition_unfolding,[],[f11359,f10367,f10367]) ).
fof(f12064,plain,
! [X0,X1] :
( X0 != X1
| ~ r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) ),
inference(definition_unfolding,[],[f11360,f10367,f10367]) ).
fof(f12067,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,[],[f11377,f9747,f9747]) ).
fof(f12068,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,[],[f11378,f9747]) ).
fof(f12069,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,[],[f11379,f9747,f9747]) ).
fof(f12070,plain,
! [X0,X1] :
( ~ r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X1)
| r1_xboole_0(X0,X1) ),
inference(definition_unfolding,[],[f11380,f9747]) ).
fof(f12072,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11390,f10020]) ).
fof(f12074,plain,
! [X0] :
( ~ r1_xboole_0(X0,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11391,f10020]) ).
fof(f12075,plain,
! [X0] : r1_xboole_0(X0,np__0),
inference(definition_unfolding,[],[f11393,f10020]) ).
fof(f12076,plain,
! [X0,X1] :
( r2_hidden(sK438(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r1_xboole_0(X0,X1) ),
inference(definition_unfolding,[],[f11402,f9747]) ).
fof(f12077,plain,
! [X3,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| ~ r2_hidden(X3,k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f11401,f9747]) ).
fof(f12078,plain,
! [X0,X1] :
( k4_xboole_0(X0,k4_xboole_0(X0,X1)) != np__0
| r1_xboole_0(X0,X1) ),
inference(definition_unfolding,[],[f11407,f10020,f9747]) ).
fof(f12079,plain,
! [X0,X1] :
( ~ r1_xboole_0(X0,X1)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = np__0 ),
inference(definition_unfolding,[],[f11406,f10020,f9747]) ).
fof(f12084,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11433,f9747]) ).
fof(f12085,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11432,f9747]) ).
fof(f12086,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v3_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11431,f9747]) ).
fof(f12090,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11438,f9747]) ).
fof(f12091,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11437,f9747]) ).
fof(f12094,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11441,f9747]) ).
fof(f12096,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v1_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f11458,f10367]) ).
fof(f12097,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v2_membered(k2_tarski(X0,X0)) ),
inference(definition_unfolding,[],[f11457,f10367]) ).
fof(f12099,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,[],[f11487]) ).
fof(f12100,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,[],[f11488]) ).
fof(f12101,plain,
! [X3,X0] :
( ~ r1_tarski(X3,X0)
| r2_hidden(X3,k1_zfmisc_1(X0)) ),
inference(equality_resolution,[],[f9004]) ).
fof(f12102,plain,
! [X3,X0] :
( ~ r2_hidden(X3,k1_zfmisc_1(X0))
| r1_tarski(X3,X0) ),
inference(equality_resolution,[],[f9003]) ).
fof(f12105,plain,
! [X2,X3,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X2,X3)
| ~ v1_filter_0(X3,X1)
| ~ m1_filter_0(X3,X1)
| r2_hidden(X3,a_2_0_lopclset(X1,X2)) ),
inference(equality_resolution,[],[f9039]) ).
fof(f12106,plain,
! [X2,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_filter_0(X2,X1)
| ~ m1_filter_0(X2,X1)
| r2_hidden(X2,k7_lopclset(X1)) ),
inference(equality_resolution,[],[f9043]) ).
fof(f12107,plain,
! [X1] : np__0 = k2_zfmisc_1(np__0,X1),
inference(equality_resolution,[],[f11529]) ).
fof(f12108,plain,
! [X0] : np__0 = k2_zfmisc_1(X0,np__0),
inference(equality_resolution,[],[f11530]) ).
fof(f12110,plain,
! [X2] : ~ r2_hidden(X2,np__0),
inference(equality_resolution,[],[f11536]) ).
fof(f12111,plain,
! [X2,X1] : r2_hidden(X2,k2_xboole_0(X1,k2_tarski(X2,X2))),
inference(equality_resolution,[],[f11543]) ).
fof(f12114,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,[],[f11568]) ).
fof(f12115,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,[],[f11571]) ).
fof(f12118,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,[],[f11595]) ).
fof(f12119,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,[],[f12118]) ).
fof(f12122,plain,
! [X3,X0] :
( ~ r2_hidden(X3,k2_tarski(X0,X0))
| X0 = X3 ),
inference(equality_resolution,[],[f11605]) ).
fof(f12123,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,[],[f9225]) ).
fof(f12124,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,[],[f9224]) ).
fof(f12125,plain,
! [X1] : v1_realset1(k2_tarski(X1,X1)),
inference(equality_resolution,[],[f11611]) ).
fof(f12126,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(u1_struct_0(X0),X0)
| ~ v1_filter_0(u1_struct_0(X0),X0) ),
inference(equality_resolution,[],[f9289]) ).
fof(f12127,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(u1_struct_0(X0),X0)
| ~ v1_filter_0(u1_struct_0(X0),X0) ),
inference(equality_resolution,[],[f9300]) ).
fof(f12130,plain,
! [X2,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k1_funct_1(X2,sK87(k1_relat_1(X2),X1,X2)),X1)
| v1_funct_2(X2,k1_relat_1(X2),X1) ),
inference(equality_resolution,[],[f9308]) ).
fof(f12131,plain,
! [X2,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK87(k1_relat_1(X2),X1,X2),k1_relat_1(X2))
| v1_funct_2(X2,k1_relat_1(X2),X1) ),
inference(equality_resolution,[],[f9307]) ).
fof(f12132,plain,
! [X2,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k1_funct_1(X2,sK87(k1_relat_1(X2),X1,X2)),X1)
| m2_relset_1(X2,k1_relat_1(X2),X1) ),
inference(equality_resolution,[],[f9306]) ).
fof(f12133,plain,
! [X2,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK87(k1_relat_1(X2),X1,X2),k1_relat_1(X2))
| m2_relset_1(X2,k1_relat_1(X2),X1) ),
inference(equality_resolution,[],[f9305]) ).
fof(f12134,plain,
! [X0] : np__0 = k1_relat_1(sK89(X0,np__0)),
inference(equality_resolution,[],[f11620]) ).
fof(f12135,plain,
! [X0] : r1_tarski(k2_relat_1(sK89(X0,np__0)),X0),
inference(equality_resolution,[],[f11621]) ).
fof(f12136,plain,
! [X0] : v1_relat_1(sK89(X0,np__0)),
inference(equality_resolution,[],[f11622]) ).
fof(f12137,plain,
! [X0] : v1_funct_1(sK89(X0,np__0)),
inference(equality_resolution,[],[f11623]) ).
fof(f12138,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,[],[f9340]) ).
fof(f12139,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,[],[f12138]) ).
fof(f12140,plain,
! [X0,X5] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X5,k2_relat_1(X0))
| r2_hidden(sK92(X0,X5),k1_relat_1(X0)) ),
inference(equality_resolution,[],[f9339]) ).
fof(f12141,plain,
! [X0,X5] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X5,k2_relat_1(X0))
| k1_funct_1(X0,sK92(X0,X5)) = X5 ),
inference(equality_resolution,[],[f9338]) ).
fof(f12142,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(sK104(X0,X2,X3),X0)
| ~ r2_hidden(X2,k2_relat_1(X3)) ),
inference(equality_resolution,[],[f9375]) ).
fof(f12143,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,sK104(X0,X2,X3)) = X2
| ~ r2_hidden(X2,k2_relat_1(X3)) ),
inference(equality_resolution,[],[f9374]) ).
fof(f12144,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,[],[f11638]) ).
fof(f12147,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,[],[f11644]) ).
fof(f12148,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,[],[f11645]) ).
fof(f12149,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,X0)
| r2_hidden(X4,k2_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f9451]) ).
fof(f12150,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,X1)
| r2_hidden(X4,k2_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f9450]) ).
fof(f12151,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k2_xboole_0(X0,X1))
| r2_hidden(X4,X1)
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f9449]) ).
fof(f12153,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,[],[f11672]) ).
fof(f12154,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,[],[f11673]) ).
fof(f12155,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,[],[f11683]) ).
fof(f12156,plain,
! [X0,X5] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X5,k2_relat_1(X0))
| r2_hidden(k2_tarski(k2_tarski(sK112(X0,X5),X5),k2_tarski(sK112(X0,X5),sK112(X0,X5))),X0) ),
inference(equality_resolution,[],[f11684]) ).
fof(f12157,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,[],[f11701]) ).
fof(f12158,plain,
! [X0,X5] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X5,k1_relat_1(X0))
| r2_hidden(k2_tarski(k2_tarski(X5,sK132(X0,X5)),k2_tarski(X5,X5)),X0) ),
inference(equality_resolution,[],[f11702]) ).
fof(f12161,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,[],[f11743]) ).
fof(f12162,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,[],[f12161]) ).
fof(f12163,plain,
! [X0,X1,X8] :
( ~ r2_hidden(X8,k2_zfmisc_1(X0,X1))
| r2_hidden(sK162(X0,X1,X8),X0) ),
inference(equality_resolution,[],[f9551]) ).
fof(f12164,plain,
! [X0,X1,X8] :
( ~ r2_hidden(X8,k2_zfmisc_1(X0,X1))
| r2_hidden(sK163(X0,X1,X8),X1) ),
inference(equality_resolution,[],[f9550]) ).
fof(f12165,plain,
! [X0,X1,X8] :
( ~ r2_hidden(X8,k2_zfmisc_1(X0,X1))
| k2_tarski(k2_tarski(sK162(X0,X1,X8),sK163(X0,X1,X8)),k2_tarski(sK162(X0,X1,X8),sK162(X0,X1,X8))) = X8 ),
inference(equality_resolution,[],[f11744]) ).
fof(f12166,plain,
! [X2,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,k7_setwiseo(X4,X5,X1,X2,X0),X4,X5)
| sP2(X5,X4,k7_setwiseo(X4,X5,X1,X2,X0),X2,X1,X0) ),
inference(equality_resolution,[],[f9571]) ).
fof(f12167,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP1(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK170(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK170(X0,X1,X5,X6)))
| sK169(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)
| sP2(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f11746]) ).
fof(f12168,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP1(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK170(X0,X1,X5,X6),X1)
| sK169(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)
| sP2(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f11747]) ).
fof(f12169,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP1(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK170(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK170(X0,X1,X5,X6)))
| r3_binop_1(X0,sK169(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)
| sP2(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f9583]) ).
fof(f12170,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP1(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK170(X0,X1,X5,X6),X1)
| r3_binop_1(X0,sK169(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)
| sP2(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f9582]) ).
fof(f12171,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP1(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK170(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK170(X0,X1,X5,X6)))
| m1_subset_1(sK169(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)
| sP2(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f9581]) ).
fof(f12172,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP1(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK170(X0,X1,X5,X6),X1)
| m1_subset_1(sK169(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)
| sP2(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f9580]) ).
fof(f12173,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,[],[f9610]) ).
fof(f12175,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,[],[f9628]) ).
fof(f12176,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,[],[f9627]) ).
fof(f12177,plain,
! [X2,X1] : ~ r2_hidden(X2,k4_xboole_0(X1,k2_tarski(X2,X2))),
inference(equality_resolution,[],[f11764]) ).
fof(f12178,plain,
! [X1] : k2_tarski(X1,X1) != k4_xboole_0(k2_tarski(X1,X1),k2_tarski(X1,X1)),
inference(equality_resolution,[],[f11768]) ).
fof(f12179,plain,
! [X0,X1,X4] :
( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,k4_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f9761]) ).
fof(f12180,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k4_xboole_0(X0,X1))
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f9760]) ).
fof(f12181,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k4_xboole_0(X0,X1))
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f9759]) ).
fof(f12182,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,[],[f11821]) ).
fof(f12184,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f11823]) ).
fof(f12186,plain,
! [X2,X3,X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(k1_group_1(X0,X3,k3_group_1(X0,X2)),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,k1_group_1(X0,X3,k3_group_1(X0,X2)),X2) = X3 ),
inference(equality_resolution,[],[f10043]) ).
fof(f12187,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(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| k1_group_1(X0,k1_group_1(X0,X1,X2),k3_group_1(X0,X2)) = X1 ),
inference(equality_resolution,[],[f10042]) ).
fof(f12188,plain,
! [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(k1_group_1(X0,k3_group_1(X0,X1),X3),u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,X1,k1_group_1(X0,k3_group_1(X0,X1),X3)) = X3 ),
inference(equality_resolution,[],[f10045]) ).
fof(f12189,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(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| k1_group_1(X0,k3_group_1(X0,X1),k1_group_1(X0,X1,X2)) = X2 ),
inference(equality_resolution,[],[f10044]) ).
fof(f12190,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,[],[f10108]) ).
fof(f12191,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,[],[f10156]) ).
fof(f12192,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,[],[f11855]) ).
fof(f12193,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,sK270(X0,X1,X7,X8)),k2_tarski(X7,X7)),X0) ),
inference(equality_resolution,[],[f11856]) ).
fof(f12194,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(sK270(X0,X1,X7,X8),X8),k2_tarski(sK270(X0,X1,X7,X8),sK270(X0,X1,X7,X8))),X1) ),
inference(equality_resolution,[],[f11857]) ).
fof(f12195,plain,
! [X2,X1] : k1_card_1(k2_tarski(X1,X1)) = k1_card_1(k2_tarski(X2,X2)),
inference(equality_resolution,[],[f11858]) ).
fof(f12196,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,[],[f10242]) ).
fof(f12197,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,[],[f10249]) ).
fof(f12198,plain,
! [X2,X1] :
( ~ m2_relset_1(X2,np__0,X1)
| ~ v1_funct_2(X2,np__0,X1)
| ~ v1_funct_1(X2)
| sP9(np__0,X2) ),
inference(equality_resolution,[],[f11861]) ).
fof(f12199,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,[],[f11873]) ).
fof(f12200,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,[],[f11874]) ).
fof(f12202,plain,
! [X2,X1] : np__0 = k4_xboole_0(k2_tarski(X1,X1),k2_tarski(X1,X2)),
inference(equality_resolution,[],[f11880]) ).
fof(f12203,plain,
! [X2,X1] : np__0 = k4_xboole_0(k2_tarski(X2,X2),k2_tarski(X1,X2)),
inference(equality_resolution,[],[f11881]) ).
fof(f12205,plain,
! [X2,X1] :
( r2_hidden(X1,X2)
| k2_tarski(X1,X1) = k4_xboole_0(k2_tarski(X1,X1),X2) ),
inference(equality_resolution,[],[f11889]) ).
fof(f12206,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,[],[f11894]) ).
fof(f12209,plain,
! [X2,X1] : r1_tarski(k2_tarski(X2,X2),k2_tarski(X1,X2)),
inference(equality_resolution,[],[f11900]) ).
fof(f12211,plain,
! [X2,X1,X4] :
( k2_tarski(X4,X1) != X2
| r2_hidden(X4,X2) ),
inference(equality_resolution,[],[f10373]) ).
fof(f12212,plain,
! [X1,X4] : r2_hidden(X4,k2_tarski(X4,X1)),
inference(equality_resolution,[],[f12211]) ).
fof(f12213,plain,
! [X2,X0,X4] :
( k2_tarski(X0,X4) != X2
| r2_hidden(X4,X2) ),
inference(equality_resolution,[],[f10372]) ).
fof(f12214,plain,
! [X0,X4] : r2_hidden(X4,k2_tarski(X0,X4)),
inference(equality_resolution,[],[f12213]) ).
fof(f12215,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k2_tarski(X0,X1))
| X1 = X4
| X0 = X4 ),
inference(equality_resolution,[],[f10371]) ).
fof(f12218,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,[],[f10471]) ).
fof(f12219,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,[],[f10470]) ).
fof(f12221,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,[],[f11920]) ).
fof(f12222,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,[],[f10592]) ).
fof(f12223,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,[],[f12222]) ).
fof(f12224,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,[],[f10591]) ).
fof(f12225,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,[],[f12224]) ).
fof(f12226,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,[],[f10594]) ).
fof(f12227,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,[],[f12226]) ).
fof(f12228,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,[],[f10593]) ).
fof(f12229,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,[],[f12228]) ).
fof(f12230,plain,
! [X2,X1] :
( ~ sP13(k8_filter_0(X1,X2),X1,X2)
| sP12(X2,X1,k8_filter_0(X1,X2)) ),
inference(equality_resolution,[],[f10598]) ).
fof(f12234,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,[],[f11925]) ).
fof(f12239,plain,
! [X3,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))
| ~ m1_subset_1(k1_funct_1(X1,np__1),u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_funct_1(X1,np__2) != X3
| np__2 != k3_finseq_1(X1)
| k9_rlvect_1(X0,X1) = k2_rlvect_1(X0,k1_funct_1(X1,np__1),X3) ),
inference(equality_resolution,[],[f10763]) ).
fof(f12240,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))
| ~ m1_subset_1(k1_funct_1(X1,np__1),u1_struct_0(X0))
| ~ m1_subset_1(k1_funct_1(X1,np__2),u1_struct_0(X0))
| np__2 != k3_finseq_1(X1)
| k9_rlvect_1(X0,X1) = k2_rlvect_1(X0,k1_funct_1(X1,np__1),k1_funct_1(X1,np__2)) ),
inference(equality_resolution,[],[f12239]) ).
fof(f12241,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,[],[f10781]) ).
fof(f12245,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))
| sP17(X0,X1,k3_funct_4(X0,X1)) ),
inference(equality_resolution,[],[f10873]) ).
fof(f12246,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,[],[f11970]) ).
fof(f12251,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,[],[f11011]) ).
fof(f12252,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,[],[f11023]) ).
fof(f12253,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,[],[f11022]) ).
fof(f12254,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))
| sP22(X0,k7_finseq_1(X0,X1),X1) ),
inference(equality_resolution,[],[f11021]) ).
fof(f12255,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,[],[f11028]) ).
fof(f12256,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,[],[f11027]) ).
fof(f12257,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,[],[f11033]) ).
fof(f12258,plain,
! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_finset_1(k2_relat_1(X1)) ),
inference(equality_resolution,[],[f11159]) ).
fof(f12260,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,[],[f11977]) ).
fof(f12263,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,[],[f11999]) ).
fof(f12264,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,[],[f12000]) ).
fof(f12265,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,[],[f12001]) ).
fof(f12266,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,[],[f11269]) ).
fof(f12267,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,[],[f11268]) ).
fof(f12268,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,[],[f11267]) ).
fof(f12269,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,[],[f12026]) ).
fof(f12270,plain,
! [X0,X1,X6] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k10_relat_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(X6,sK424(X0,X1,X6)),k2_tarski(X6,X6)),X0) ),
inference(equality_resolution,[],[f12027]) ).
fof(f12271,plain,
! [X0,X1,X6] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k10_relat_1(X0,X1))
| r2_hidden(sK424(X0,X1,X6),X1) ),
inference(equality_resolution,[],[f11292]) ).
fof(f12272,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,[],[f12028]) ).
fof(f12273,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,[],[f11310]) ).
fof(f12274,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,[],[f12273]) ).
fof(f12275,plain,
! [X0,X1,X6] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| r2_hidden(sK427(X0,X1,X6),k1_relat_1(X0)) ),
inference(equality_resolution,[],[f11309]) ).
fof(f12276,plain,
! [X0,X1,X6] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| r2_hidden(sK427(X0,X1,X6),X1) ),
inference(equality_resolution,[],[f11308]) ).
fof(f12277,plain,
! [X0,X1,X6] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| k1_funct_1(X0,sK427(X0,X1,X6)) = X6 ),
inference(equality_resolution,[],[f11307]) ).
fof(f12278,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,[],[f12044]) ).
fof(f12279,plain,
! [X0,X1,X6] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(sK431(X0,X1,X6),X6),k2_tarski(sK431(X0,X1,X6),sK431(X0,X1,X6))),X0) ),
inference(equality_resolution,[],[f12045]) ).
fof(f12280,plain,
! [X0,X1,X6] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| r2_hidden(sK431(X0,X1,X6),X1) ),
inference(equality_resolution,[],[f11334]) ).
fof(f12281,plain,
! [X1] : ~ r1_xboole_0(k2_tarski(X1,X1),k2_tarski(X1,X1)),
inference(equality_resolution,[],[f12064]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) = k2_tarski(X0,X1),
inference(cnf_transformation,[],[f11482]) ).
tcf(c_50,negated_conjecture,
~ r1_tarski(a_2_0_lopclset(sK23,sK24),k7_lopclset(sK23)),
inference(cnf_transformation,[],[f8962]) ).
tcf(c_51,negated_conjecture,
m1_subset_1(sK24,u1_struct_0(sK23)),
inference(cnf_transformation,[],[f8961]) ).
tcf(c_52,negated_conjecture,
~ v3_struct_0(sK23),
inference(cnf_transformation,[],[f8960]) ).
tcf(c_53,negated_conjecture,
v10_lattices(sK23),
inference(cnf_transformation,[],[f8959]) ).
tcf(c_54,negated_conjecture,
v17_lattices(sK23),
inference(cnf_transformation,[],[f8958]) ).
tcf(c_55,negated_conjecture,
~ v3_realset2(sK23),
inference(cnf_transformation,[],[f8957]) ).
tcf(c_56,negated_conjecture,
l3_lattices(sK23),
inference(cnf_transformation,[],[f8956]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_2(X0,X1,X3)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r1_tarski(X2,X3)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f11484]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X0,X1,X3)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r1_tarski(X2,X3)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f11485]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(X0,np__0,X2)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,X2)
| ~ m2_relset_1(X0,np__0,X1)
| ~ v1_funct_2(X0,np__0,X1) ),
inference(cnf_transformation,[],[f12099]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,np__0,X2)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,X2)
| ~ m2_relset_1(X0,np__0,X1)
| ~ v1_funct_2(X0,np__0,X1) ),
inference(cnf_transformation,[],[f12100]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X3,X1,X2)
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f8969]) ).
tcf(c_62,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,[],[f8971]) ).
tcf(c_64,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,[],[f8975]) ).
tcf(c_65,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,[],[f8977]) ).
tcf(c_66,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,[],[f8978]) ).
tcf(c_67,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,[],[f8979]) ).
tcf(c_68,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,[],[f8980]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8981]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8982]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8984]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f8983]) ).
tcf(c_73,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(sK25(X0,X1),X1) ),
inference(cnf_transformation,[],[f8986]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| m1_subset_1(sK25(X0,X2),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f8985]) ).
tcf(c_75,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(sK26(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f8989]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r2_hidden(sK26(X1,X0,X2),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f8988]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| m1_subset_1(sK26(X1,X0,X2),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f8987]) ).
tcf(c_78,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,[],[f8991]) ).
tcf(c_79,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,[],[f8990]) ).
tcf(c_80,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,[],[f11489]) ).
tcf(c_81,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,[],[f11490]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ r1_tarski(X0,k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f11491]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X0)) ),
inference(cnf_transformation,[],[f11492]) ).
tcf(c_84,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,[],[f8996]) ).
tcf(c_85,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,[],[f8998]) ).
tcf(c_86,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,[],[f8997]) ).
tcf(c_87,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,[],[f11493]) ).
tcf(c_88,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,[],[f11494]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9002]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(X0) = X1 )
| ~ r2_hidden(sK27(X0,X1),X1)
| ~ r1_tarski(sK27(X0,X1),X0) ),
inference(cnf_transformation,[],[f9006]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK27(X0,X1),X1)
| r1_tarski(sK27(X0,X1),X0)
| ( k1_zfmisc_1(X0) = X1 ) ),
inference(cnf_transformation,[],[f9005]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12101]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12102]) ).
tcf(c_95,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r1_tarski(X0,np__0) ),
inference(cnf_transformation,[],[f11496]) ).
tcf(c_96,plain,
! [X0: $i] : r1_tarski(np__0,X0),
inference(cnf_transformation,[],[f11497]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9009]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9012]) ).
tcf(c_101,plain,
! [X0: $i] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f9013]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(sK28(X0,X1),X1) ),
inference(cnf_transformation,[],[f9016]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK28(X0,X1),X0) ),
inference(cnf_transformation,[],[f9015]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9014]) ).
tcf(c_105,plain,
! [X0: $i] : m1_subset_1(sK29(X0),X0),
inference(cnf_transformation,[],[f9017]) ).
tcf(c_106,plain,
l3_lattices(sK30),
inference(cnf_transformation,[],[f9018]) ).
tcf(c_108,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k2_tarski(sK31(X0),sK31(X0)) = u1_struct_0(X0) )
| ~ l1_struct_0(X0)
| ~ v3_realset2(X0) ),
inference(cnf_transformation,[],[f11499]) ).
tcf(c_109,plain,
l1_group_1(sK32),
inference(cnf_transformation,[],[f9026]) ).
tcf(c_110,plain,
~ v3_struct_0(sK32),
inference(cnf_transformation,[],[f9025]) ).
tcf(c_111,plain,
v2_group_1(sK32),
inference(cnf_transformation,[],[f9024]) ).
tcf(c_112,plain,
v3_group_1(sK32),
inference(cnf_transformation,[],[f9023]) ).
tcf(c_113,plain,
v4_group_1(sK32),
inference(cnf_transformation,[],[f9022]) ).
tcf(c_114,plain,
v3_realset2(sK32),
inference(cnf_transformation,[],[f9021]) ).
tcf(c_115,plain,
! [X0: $i] :
( v3_realset2(X0)
| ~ l1_struct_0(X0)
| ( sK33(X0) != sK34(X0) ) ),
inference(cnf_transformation,[],[f9030]) ).
tcf(c_116,plain,
! [X0: $i] :
( v3_realset2(X0)
| m1_subset_1(sK34(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f9029]) ).
tcf(c_117,plain,
! [X0: $i] :
( v3_realset2(X0)
| m1_subset_1(sK33(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f9028]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ l1_struct_0(X1)
| ~ v3_realset2(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9027]) ).
tcf(c_119,plain,
! [X0: $i] :
( v3_realset2(X0)
| ~ l1_struct_0(X0)
| ~ v1_realset1(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f9032]) ).
tcf(c_120,plain,
! [X0: $i] :
( v1_realset1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_realset2(X0) ),
inference(cnf_transformation,[],[f9031]) ).
tcf(c_121,plain,
l1_struct_0(sK35),
inference(cnf_transformation,[],[f9034]) ).
tcf(c_122,plain,
v3_realset2(sK35),
inference(cnf_transformation,[],[f9033]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| r2_hidden(X2,a_2_0_lopclset(X1,X0))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_filter_0(X2,X1)
| ~ m1_filter_0(X2,X1)
| ~ r2_hidden(X0,X2)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12105]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| m1_filter_0(sK36(X0,X1,X2),X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ),
inference(cnf_transformation,[],[f9038]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| ( sK36(X0,X1,X2) = X0 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ),
inference(cnf_transformation,[],[f9037]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| v1_filter_0(sK36(X0,X1,X2),X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ),
inference(cnf_transformation,[],[f9036]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| r2_hidden(X2,sK36(X0,X1,X2))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X0,a_2_0_lopclset(X1,X2)) ),
inference(cnf_transformation,[],[f9035]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| r2_hidden(X0,k7_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_filter_0(X0,X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f12106]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| m1_filter_0(sK37(X0,X1),X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,k7_lopclset(X1)) ),
inference(cnf_transformation,[],[f9042]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| ( sK37(X0,X1) = X0 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,k7_lopclset(X1)) ),
inference(cnf_transformation,[],[f9041]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| v1_filter_0(sK37(X0,X1),X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,k7_lopclset(X1)) ),
inference(cnf_transformation,[],[f9040]) ).
tcf(c_132,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_lopclset(X0)) ),
inference(cnf_transformation,[],[f9044]) ).
tcf(c_133,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f9045]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(X0,np__0,X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f11501]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(X0,np__0,X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f11502]) ).
tcf(c_136,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,[],[f11503]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,np__0) ),
inference(cnf_transformation,[],[f11504]) ).
tcf(c_138,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,[],[f11505]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f11506]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f11510]) ).
tcf(c_143,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,[],[f11511]) ).
tcf(c_144,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,[],[f11512]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] : m2_relset_1(np__0,X0,X1),
inference(cnf_transformation,[],[f11513]) ).
tcf(c_146,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( sK38(X0) != sK39(X0) ) ),
inference(cnf_transformation,[],[f11514]) ).
tcf(c_147,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k1_relat_1(sK38(X0)) = X0 ) ),
inference(cnf_transformation,[],[f11515]) ).
tcf(c_148,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k1_relat_1(sK39(X0)) = X0 ) ),
inference(cnf_transformation,[],[f11516]) ).
tcf(c_149,plain,
! [X0: $i] :
( v1_relat_1(sK39(X0))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f11517]) ).
tcf(c_150,plain,
! [X0: $i] :
( v1_funct_1(sK39(X0))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f11518]) ).
tcf(c_151,plain,
! [X0: $i] :
( v1_relat_1(sK38(X0))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f11519]) ).
tcf(c_152,plain,
! [X0: $i] :
( v1_funct_1(sK38(X0))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f11520]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK40(X1,X0),X0)
| ( X0 = np__0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11523]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK40(X1,X0),X1)
| ( X0 = np__0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11524]) ).
tcf(c_157,plain,
! [X0: $i] : m1_subset_1(np__0,k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f11525]) ).
tcf(c_158,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,[],[f11526]) ).
tcf(c_159,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,[],[f11527]) ).
tcf(c_161,plain,
! [X0: $i] : k2_zfmisc_1(np__0,X0) = np__0,
inference(cnf_transformation,[],[f12107]) ).
tcf(c_162,plain,
! [X0: $i] : k2_zfmisc_1(X0,np__0) = np__0,
inference(cnf_transformation,[],[f12108]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k2_zfmisc_1(X0,X1) != np__0 ) ),
inference(cnf_transformation,[],[f11531]) ).
tcf(c_166,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11534]) ).
tcf(c_167,plain,
! [X0: $i] :
( r2_hidden(sK41(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f11535]) ).
tcf(c_168,plain,
! [X0: $i] : ~ r2_hidden(X0,np__0),
inference(cnf_transformation,[],[f12110]) ).
tcf(c_169,plain,
v1_xboole_0(np__0),
inference(cnf_transformation,[],[f11537]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK42(X0,X1),X0,X1),
inference(cnf_transformation,[],[f9084]) ).
tcf(c_171,plain,
v1_relat_1(sK43),
inference(cnf_transformation,[],[f9087]) ).
tcf(c_172,plain,
v1_xboole_0(sK43),
inference(cnf_transformation,[],[f9086]) ).
tcf(c_173,plain,
v1_funct_1(sK43),
inference(cnf_transformation,[],[f9085]) ).
tcf(c_174,plain,
v1_relat_1(sK44),
inference(cnf_transformation,[],[f9089]) ).
tcf(c_175,plain,
v1_funct_1(sK44),
inference(cnf_transformation,[],[f9088]) ).
tcf(c_176,plain,
~ v1_xboole_0(sK45),
inference(cnf_transformation,[],[f9091]) ).
tcf(c_177,plain,
v1_relat_1(sK45),
inference(cnf_transformation,[],[f9090]) ).
tcf(c_178,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f9092]) ).
tcf(c_179,plain,
v1_xboole_0(sK46),
inference(cnf_transformation,[],[f9094]) ).
tcf(c_180,plain,
v1_relat_1(sK46),
inference(cnf_transformation,[],[f9093]) ).
tcf(c_181,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,[],[f9095]) ).
tcf(c_182,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,[],[f9096]) ).
tcf(c_183,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,[],[f9097]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f9098]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f9100]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f9103]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f9102]) ).
tcf(c_190,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f9101]) ).
tcf(c_191,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f9105]) ).
tcf(c_192,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK47(X1),X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f9107]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,sK47(X1)) ),
inference(cnf_transformation,[],[f9106]) ).
tcf(c_194,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r2_hidden(sK48(X0,X1),X1)
| ~ r2_hidden(sK48(X0,X1),X0) ),
inference(cnf_transformation,[],[f9109]) ).
tcf(c_195,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK48(X0,X1),X1)
| r2_hidden(sK48(X0,X1),X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f9108]) ).
tcf(c_196,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f9110]) ).
tcf(c_197,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,[],[f9111]) ).
tcf(c_198,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,[],[f9112]) ).
tcf(c_199,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,[],[f9113]) ).
tcf(c_200,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,[],[f9114]) ).
tcf(c_201,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(sK49(X0,X1,X2),X2)
| ~ r2_hidden(sK49(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f9117]) ).
tcf(c_202,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK49(X1,X0,X2),X2)
| r2_hidden(sK49(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,[],[f9116]) ).
tcf(c_203,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK49(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,[],[f9115]) ).
tcf(c_204,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK50(X0,X1),X1) ),
inference(cnf_transformation,[],[f9119]) ).
tcf(c_205,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK50(X1,X0),X1)
| ( X0 = X1 )
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f9118]) ).
tcf(c_206,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,[],[f9122]) ).
tcf(c_207,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,[],[f9121]) ).
tcf(c_208,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,[],[f9120]) ).
tcf(c_209,plain,
! [X0: $i] : m1_subset_1(sK52(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f9124]) ).
tcf(c_210,plain,
! [X0: $i] : v1_xboole_0(sK52(X0)),
inference(cnf_transformation,[],[f9123]) ).
tcf(c_211,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK53(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f9126]) ).
tcf(c_212,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK53(X0)) ),
inference(cnf_transformation,[],[f9125]) ).
tcf(c_213,plain,
! [X0: $i] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f9127]) ).
tcf(c_214,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f9128]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f9129]) ).
tcf(c_216,plain,
~ v1_xboole_0(sK54),
inference(cnf_transformation,[],[f9130]) ).
tcf(c_217,plain,
v1_xboole_0(sK55),
inference(cnf_transformation,[],[f9131]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK56(X1,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f9135]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(sK56(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f9134]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK56(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f9133]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(sK56(X2,X1),X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X1)) ),
inference(cnf_transformation,[],[f9132]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK57(X1,X0),k1_zfmisc_1(X1))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9137]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X2,X0),sK57(X1,X2))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ r2_hidden(X0,k2_zfmisc_1(sK57(X1,X2),sK57(X1,X2))) ),
inference(cnf_transformation,[],[f9136]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X0,X2),X1)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X2,k2_zfmisc_1(X1,X1))
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9138]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i] : v1_relat_1(k2_zfmisc_1(X0,X1)),
inference(cnf_transformation,[],[f9139]) ).
tcf(c_226,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f9140]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k2_zfmisc_1(X0,X0) != k2_zfmisc_1(X1,X1) ) ),
inference(cnf_transformation,[],[f9141]) ).
tcf(c_228,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,[],[f11538]) ).
tcf(c_229,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,[],[f11539]) ).
tcf(c_230,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,[],[f11540]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k2_xboole_0(X1,k2_tarski(X0,X0))),
inference(cnf_transformation,[],[f12111]) ).
tcf(c_234,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,[],[f11544]) ).
tcf(c_235,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,[],[f11545]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,X1,k2_tarski(X2,X2))
| ~ m2_relset_1(X0,X1,k2_tarski(X2,X2))
| ~ v1_funct_2(X3,X1,k2_tarski(X2,X2))
| ~ v1_funct_2(X0,X1,k2_tarski(X2,X2)) ),
inference(cnf_transformation,[],[f11546]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_funct_1(X0,X3) = X2 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X1)
| ~ m2_relset_1(X0,X1,k2_tarski(X2,X2))
| ~ v1_funct_2(X0,X1,k2_tarski(X2,X2)) ),
inference(cnf_transformation,[],[f11547]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k2_tarski(k1_funct_1(X0,X1),k1_funct_1(X0,X1)) = k2_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_tarski(X1,X1),X2)
| ~ v1_funct_2(X0,k2_tarski(X1,X1),X2) ),
inference(cnf_transformation,[],[f11548]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X0,X1),X2)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_tarski(X1,X1),X2)
| ~ v1_funct_2(X0,k2_tarski(X1,X1),X2) ),
inference(cnf_transformation,[],[f11549]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X1,X3,X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,X3)
| ~ r2_hidden(k1_funct_1(X1,X0),X2)
| ( k2_tarski(X0,X0) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f11551]) ).
tcf(c_241,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,[],[f11552]) ).
tcf(c_242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(k2_tarski(k2_tarski(k2_tarski(X2,X0),k2_tarski(X2,X2)),k2_tarski(k2_tarski(X2,X0),k2_tarski(X2,X2))),X3,X1)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11553]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ( k1_relat_1(X1) != k1_relat_1(X2) )
| ( k2_tarski(X0,X0) != k2_relat_1(X2) )
| ( k2_tarski(X0,X0) != k2_relat_1(X1) ) ),
inference(cnf_transformation,[],[f11554]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK58(X0,X1))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f11555]) ).
tcf(c_245,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK58(X0,X1))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f11556]) ).
tcf(c_246,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k1_relat_1(sK58(X0,X1)) = X0 ) ),
inference(cnf_transformation,[],[f11557]) ).
tcf(c_247,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_relat_1(sK58(X0,X1)) = k2_tarski(X1,X1) ) ),
inference(cnf_transformation,[],[f11558]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k1_funct_1(X1,X0),k1_funct_1(X1,X0)) = k2_relat_1(X1) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ( k2_tarski(X0,X0) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f11559]) ).
tcf(c_252,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_tarski(X0,X0),k1_zfmisc_1(X1))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11563]) ).
tcf(c_253,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,[],[f11564]) ).
tcf(c_255,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k2_zfmisc_1(k2_tarski(X0,X0),X1) != np__0 ) ),
inference(cnf_transformation,[],[f11566]) ).
tcf(c_256,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_zfmisc_1(X0,k2_tarski(X1,X1)) != np__0 ) ),
inference(cnf_transformation,[],[f11567]) ).
tcf(c_257,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,[],[f12114]) ).
tcf(c_259,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,[],[f11570]) ).
tcf(c_260,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,[],[f12115]) ).
tcf(c_261,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,[],[f11572]) ).
tcf(c_263,plain,
! [X0: $i] : r1_tarski(k2_tarski(X0,X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f11574]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k2_tarski(X0,X0),X1) = X1 )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11576]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( X1 = np__0 )
| ( X1 = X2 )
| ( k2_tarski(X0,X0) != k2_xboole_0(X1,X2) ) ),
inference(cnf_transformation,[],[f11578]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( k2_tarski(X0,X0) = X1 )
| ( k2_tarski(X0,X0) != k2_xboole_0(X1,X2) ) ),
inference(cnf_transformation,[],[f12283]) ).
tcf(c_274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(X0,X0) = X2 )
| ( k2_tarski(X0,X0) = X1 )
| ( k2_tarski(X0,X0) != k2_xboole_0(X1,X2) ) ),
inference(cnf_transformation,[],[f12285]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k2_tarski(X0,X0) = X2 )
| ( k2_tarski(X0,X0) != k2_xboole_0(X1,X2) ) ),
inference(cnf_transformation,[],[f12286]) ).
tcf(c_276,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK59(X1,X0),X1)
| ( X1 = np__0 )
| ( k2_tarski(X0,X0) = X1 ) ),
inference(cnf_transformation,[],[f11587]) ).
tcf(c_277,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X1,X1) = X0 )
| ( sK59(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f11588]) ).
tcf(c_280,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X1,X1) = X0 )
| ~ r1_tarski(X0,k2_tarski(X1,X1)) ),
inference(cnf_transformation,[],[f11591]) ).
tcf(c_281,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tarski(X0,X0),X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11592]) ).
tcf(c_284,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,[],[f12119]) ).
tcf(c_290,plain,
k2_tarski(np__0,np__0) = k1_zfmisc_1(np__0),
inference(cnf_transformation,[],[f11601]) ).
tcf(c_291,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(X0,X0) = X1 )
| ~ r2_hidden(sK60(X0,X1),X1)
| ( sK60(X0,X1) != X0 ) ),
inference(cnf_transformation,[],[f11602]) ).
tcf(c_292,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK60(X0,X1),X1)
| ( sK60(X0,X1) = X0 )
| ( k2_tarski(X0,X0) = X1 ) ),
inference(cnf_transformation,[],[f11603]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r2_hidden(X0,k2_tarski(X1,X1)) ),
inference(cnf_transformation,[],[f12122]) ).
tcf(c_295,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f9210]) ).
tcf(c_296,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f9211]) ).
tcf(c_297,plain,
l1_struct_0(sK61),
inference(cnf_transformation,[],[f9212]) ).
tcf(c_299,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f9213]) ).
tcf(c_300,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK62(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f9216]) ).
tcf(c_301,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(sK62(X0)) ),
inference(cnf_transformation,[],[f9215]) ).
tcf(c_302,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f9217]) ).
tcf(c_303,plain,
l1_struct_0(sK63),
inference(cnf_transformation,[],[f9219]) ).
tcf(c_304,plain,
~ v3_struct_0(sK63),
inference(cnf_transformation,[],[f9218]) ).
tcf(c_305,plain,
l1_group_1(sK64),
inference(cnf_transformation,[],[f9220]) ).
tcf(c_306,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,[],[f9221]) ).
tcf(c_307,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,[],[f9222]) ).
tcf(c_308,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,[],[f9223]) ).
tcf(c_309,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,sK65(X0,X1)) != sK65(X0,X1) )
| ( k1_group_1(X0,sK65(X0,X1),X1) != sK65(X0,X1) ) ),
inference(cnf_transformation,[],[f9227]) ).
tcf(c_310,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK65(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,[],[f9226]) ).
tcf(c_311,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,[],[f12123]) ).
tcf(c_312,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,[],[f12124]) ).
tcf(c_313,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,sK66(X0,X1)) != sK66(X0,X1) )
| ( k1_group_1(X0,sK66(X0,X1),X1) != sK66(X0,X1) ) ),
inference(cnf_transformation,[],[f9232]) ).
tcf(c_314,plain,
! [X0: $i,X1: $i] :
( v2_group_1(X1)
| v3_struct_0(X1)
| m1_subset_1(sK66(X1,X0),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9231]) ).
tcf(c_315,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK67(X0),u1_struct_0(X0))
| ~ v2_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f9230]) ).
tcf(c_316,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,X0,sK67(X1)) = X0 )
| ~ v2_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9229]) ).
tcf(c_317,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,sK67(X1),X0) = X0 )
| ~ v2_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9228]) ).
tcf(c_318,plain,
l1_group_1(sK68),
inference(cnf_transformation,[],[f9238]) ).
tcf(c_319,plain,
~ v3_struct_0(sK68),
inference(cnf_transformation,[],[f9237]) ).
tcf(c_320,plain,
v2_group_1(sK68),
inference(cnf_transformation,[],[f9236]) ).
tcf(c_321,plain,
v3_group_1(sK68),
inference(cnf_transformation,[],[f9235]) ).
tcf(c_322,plain,
v4_group_1(sK68),
inference(cnf_transformation,[],[f9234]) ).
tcf(c_323,plain,
v7_group_1(sK68),
inference(cnf_transformation,[],[f9233]) ).
tcf(c_324,plain,
l1_group_1(sK69),
inference(cnf_transformation,[],[f9243]) ).
tcf(c_325,plain,
~ v3_struct_0(sK69),
inference(cnf_transformation,[],[f9242]) ).
tcf(c_326,plain,
v2_group_1(sK69),
inference(cnf_transformation,[],[f9241]) ).
tcf(c_327,plain,
v3_group_1(sK69),
inference(cnf_transformation,[],[f9240]) ).
tcf(c_328,plain,
v4_group_1(sK69),
inference(cnf_transformation,[],[f9239]) ).
tcf(c_329,plain,
! [X0: $i] :
( v2_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f9244]) ).
tcf(c_330,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X1)
| ( k2_tarski(X0,X0) = k5_realset1(X1,X0) )
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f11606]) ).
tcf(c_331,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| r2_hidden(sK70(X1,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f9252]) ).
tcf(c_332,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| r2_hidden(sK71(X1,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f9251]) ).
tcf(c_333,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ( sK70(X0,X1) != sK71(X0,X1) ) ),
inference(cnf_transformation,[],[f9250]) ).
tcf(c_334,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| m1_subset_1(sK71(X1,X0),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f9249]) ).
tcf(c_335,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| m1_subset_1(sK70(X1,X0),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f9248]) ).
tcf(c_337,plain,
! [X0: $i] :
( v1_realset1(X0)
| r2_hidden(sK72(X0),X0) ),
inference(cnf_transformation,[],[f9256]) ).
tcf(c_338,plain,
! [X0: $i] :
( v1_realset1(X0)
| r2_hidden(sK73(X0),X0) ),
inference(cnf_transformation,[],[f9255]) ).
tcf(c_339,plain,
! [X0: $i] :
( v1_realset1(X0)
| ( sK72(X0) != sK73(X0) ) ),
inference(cnf_transformation,[],[f9254]) ).
tcf(c_340,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ v1_realset1(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f9253]) ).
tcf(c_341,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_tarski(sK74(X0),sK74(X0))))
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f11607]) ).
tcf(c_342,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK74(X0),X0)
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f9257]) ).
tcf(c_343,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_tarski(sK75(X0),sK75(X0))))
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f11608]) ).
tcf(c_344,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK75(X0),X0)
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f9259]) ).
tcf(c_345,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_tarski(sK76(X0),sK76(X0))))
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f11609]) ).
tcf(c_346,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,[],[f11610]) ).
tcf(c_348,plain,
! [X0: $i] : v1_realset1(k2_tarski(X0,X0)),
inference(cnf_transformation,[],[f12125]) ).
tcf(c_349,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_tarski(sK77(X0),sK77(X0)) = X0 )
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f11612]) ).
tcf(c_352,plain,
! [X0: $i] : v1_realset1(k2_tarski(X0,X0)),
inference(cnf_transformation,[],[f11615]) ).
tcf(c_353,plain,
! [X0: $i] :
( v1_realset1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f9269]) ).
tcf(c_354,plain,
~ v1_xboole_0(sK78),
inference(cnf_transformation,[],[f9271]) ).
tcf(c_355,plain,
~ v1_realset1(sK78),
inference(cnf_transformation,[],[f9270]) ).
tcf(c_356,plain,
~ v1_xboole_0(sK79),
inference(cnf_transformation,[],[f9273]) ).
tcf(c_357,plain,
v1_realset1(sK79),
inference(cnf_transformation,[],[f9272]) ).
tcf(c_358,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_0(sK80(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f9274]) ).
tcf(c_359,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ v1_xboole_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f9276]) ).
tcf(c_360,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,[],[f9275]) ).
tcf(c_361,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_0(u1_struct_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f9277]) ).
tcf(c_362,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK81(X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f9279]) ).
tcf(c_363,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r2_hidden(sK81(X1,X0),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f9278]) ).
tcf(c_364,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v1_filter_0(sK82(X1,X0,X2),X1)
| ( X0 = X2 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9285]) ).
tcf(c_365,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,sK82(X1,X0,X2))
| r2_hidden(X0,sK82(X1,X0,X2))
| ( X0 = X2 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9283]) ).
tcf(c_366,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( X0 = X2 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X2,sK82(X1,X0,X2))
| ~ r2_hidden(X0,sK82(X1,X0,X2)) ),
inference(cnf_transformation,[],[f9282]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_filter_0(sK82(X1,X0,X2),X1)
| ( X0 = X2 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9280]) ).
tcf(c_369,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_filter_0(X2,X0)
| ~ m1_filter_0(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k7_lattices(X0,X1),X2) ),
inference(cnf_transformation,[],[f9286]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_filter_0(X1,X0)
| ( u1_struct_0(X0) = X1 )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ r2_hidden(sK83(X0,X1),X1) ),
inference(cnf_transformation,[],[f9292]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_filter_0(X1,X0)
| ( u1_struct_0(X0) = X1 )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ r2_hidden(k7_lattices(X0,sK83(X0,X1)),X1) ),
inference(cnf_transformation,[],[f9291]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_filter_0(X0,X1)
| m1_subset_1(sK83(X1,X0),u1_struct_0(X1))
| ( u1_struct_0(X1) = X0 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f9290]) ).
tcf(c_373,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_filter_0(u1_struct_0(X0),X0)
| ~ m1_filter_0(u1_struct_0(X0),X0) ),
inference(cnf_transformation,[],[f12126]) ).
tcf(c_374,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X0,X2)
| r2_hidden(k7_lattices(X1,X0),X2)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_filter_0(X2,X1)
| ~ m1_filter_0(X2,X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9288]) ).
tcf(c_375,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r2_hidden(X0,sK84(X1,X0))
| ( k5_lattices(X1) = X0 )
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12287]) ).
tcf(c_376,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_filter_0(sK84(X1,X0),X1)
| ( k5_lattices(X1) = X0 )
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12288]) ).
tcf(c_377,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_filter_0(sK84(X1,X0),X1)
| ( k5_lattices(X1) = X0 )
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12289]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r1_tarski(X0,sK85(X1,X0))
| ( u1_struct_0(X1) = X0 )
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f9298]) ).
tcf(c_379,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_filter_0(sK85(X1,X0),X1)
| ( u1_struct_0(X1) = X0 )
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f9297]) ).
tcf(c_380,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_filter_0(sK85(X1,X0),X1)
| ( u1_struct_0(X1) = X0 )
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f9296]) ).
tcf(c_381,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_filter_0(X1,X0)
| ( u1_struct_0(X0) = X1 )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ( sK86(X0,X1) != u1_struct_0(X0) ) ),
inference(cnf_transformation,[],[f9304]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_filter_0(X1,X0)
| ( u1_struct_0(X0) = X1 )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ( sK86(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f9303]) ).
tcf(c_383,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_filter_0(X0,X1)
| r1_tarski(X0,sK86(X1,X0))
| ( u1_struct_0(X1) = X0 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f9302]) ).
tcf(c_384,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_filter_0(X0,X1)
| m1_filter_0(sK86(X1,X0),X1)
| ( u1_struct_0(X1) = X0 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f9301]) ).
tcf(c_385,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_filter_0(u1_struct_0(X0),X0)
| ~ m1_filter_0(u1_struct_0(X0),X0) ),
inference(cnf_transformation,[],[f12127]) ).
tcf(c_386,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| ( X0 = X1 )
| ( u1_struct_0(X2) = X1 )
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v1_filter_0(X0,X2)
| ~ m1_filter_0(X1,X2)
| ~ m1_filter_0(X0,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9299]) ).
tcf(c_387,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(X0,k1_relat_1(X0),X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(k1_funct_1(X0,sK87(k1_relat_1(X0),X1,X0)),X1) ),
inference(cnf_transformation,[],[f12130]) ).
tcf(c_388,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(X0,k1_relat_1(X0),X1)
| r2_hidden(sK87(k1_relat_1(X0),X1,X0),k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12131]) ).
tcf(c_389,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(X0,k1_relat_1(X0),X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(k1_funct_1(X0,sK87(k1_relat_1(X0),X1,X0)),X1) ),
inference(cnf_transformation,[],[f12132]) ).
tcf(c_390,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(X0,k1_relat_1(X0),X1)
| r2_hidden(sK87(k1_relat_1(X0),X1,X0),k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12133]) ).
tcf(c_391,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(X0,k1_relat_1(X0),X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f9312]) ).
tcf(c_393,plain,
! [X0: $i] :
( v1_funct_2(X0,k1_relat_1(X0),k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f9315]) ).
tcf(c_396,plain,
! [X0: $i] :
( m2_relset_1(X0,k1_relat_1(X0),k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f9319]) ).
tcf(c_397,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,[],[f9321]) ).
tcf(c_398,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_relat_1(X0),X1)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f9323]) ).
tcf(c_399,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_relat_1(X0),X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f9322]) ).
tcf(c_400,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,[],[f9324]) ).
tcf(c_401,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,[],[f9325]) ).
tcf(c_402,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,[],[f9326]) ).
tcf(c_403,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k2_relat_1(X0))
| r2_hidden(sK88(X1,X0),X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f9328]) ).
tcf(c_404,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ( k1_funct_1(X0,X1) != sK88(X2,X0) ) ),
inference(cnf_transformation,[],[f9327]) ).
tcf(c_405,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k1_relat_1(sK89(X0,X1)) = X1 ) ),
inference(cnf_transformation,[],[f11616]) ).
tcf(c_406,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(sK89(X0,X1)),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f11617]) ).
tcf(c_407,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK89(X0,X1))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f11618]) ).
tcf(c_408,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK89(X0,X1))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f11619]) ).
tcf(c_409,plain,
! [X0: $i] : k1_relat_1(sK89(X0,np__0)) = np__0,
inference(cnf_transformation,[],[f12134]) ).
tcf(c_410,plain,
! [X0: $i] : r1_tarski(k2_relat_1(sK89(X0,np__0)),X0),
inference(cnf_transformation,[],[f12135]) ).
tcf(c_411,plain,
! [X0: $i] : v1_relat_1(sK89(X0,np__0)),
inference(cnf_transformation,[],[f12136]) ).
tcf(c_412,plain,
! [X0: $i] : v1_funct_1(sK89(X0,np__0)),
inference(cnf_transformation,[],[f12137]) ).
tcf(c_414,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_relat_1(X0) = X2 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(sK90(X0,X2),X2)
| ( k1_funct_1(X0,X1) != sK90(X0,X2) ) ),
inference(cnf_transformation,[],[f9343]) ).
tcf(c_415,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK90(X0,X1),X1)
| r2_hidden(sK91(X0,X1),k1_relat_1(X0))
| ( k2_relat_1(X0) = X1 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f9342]) ).
tcf(c_416,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK90(X0,X1),X1)
| ( k2_relat_1(X0) = X1 )
| ( k1_funct_1(X0,sK91(X0,X1)) = sK90(X0,X1) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f9341]) ).
tcf(c_417,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_funct_1(X1,X0),k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12139]) ).
tcf(c_418,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK92(X1,X0),k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f12140]) ).
tcf(c_419,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(X1,sK92(X1,X0)) = X0 )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f12141]) ).
tcf(c_420,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_relat_1(X0) != k1_relat_1(X1) )
| ( k1_funct_1(X0,sK93(X0,X1)) != k1_funct_1(X1,sK93(X0,X1)) ) ),
inference(cnf_transformation,[],[f9345]) ).
tcf(c_421,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK93(X0,X1),k1_relat_1(X0))
| ( X0 = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_relat_1(X0) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f9344]) ).
tcf(c_422,plain,
! [X0: $i] :
( ( k1_relat_1(X0) = np__0 )
| ~ v1_relat_1(X0)
| ( k2_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f11624]) ).
tcf(c_423,plain,
! [X0: $i] :
( ( k2_relat_1(X0) = np__0 )
| ~ v1_relat_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f11625]) ).
tcf(c_424,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v1_relat_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f11626]) ).
tcf(c_425,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v1_relat_1(X0)
| ( k2_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f11627]) ).
tcf(c_426,plain,
k1_relat_1(np__0) = np__0,
inference(cnf_transformation,[],[f11628]) ).
tcf(c_428,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,[],[f9353]) ).
tcf(c_429,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,[],[f9352]) ).
tcf(c_430,plain,
! [X0: $i] :
( r1_tarski(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0)))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f9354]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK94(X1),k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f9355]) ).
tcf(c_432,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK95(X1),k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f9356]) ).
tcf(c_433,plain,
! [X0: $i] :
( v1_xboole_0(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f9358]) ).
tcf(c_434,plain,
! [X0: $i] :
( v1_relat_1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f9357]) ).
tcf(c_435,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f9359]) ).
tcf(c_436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ( k2_zfmisc_1(X1,X2) != k1_relat_1(X3) )
| ( k2_zfmisc_1(X1,X2) != k1_relat_1(X0) )
| ( k1_funct_1(X0,k2_tarski(k2_tarski(sK96(X1,X2,X0,X3),sK97(X1,X2,X0,X3)),k2_tarski(sK96(X1,X2,X0,X3),sK96(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK96(X1,X2,X0,X3),sK97(X1,X2,X0,X3)),k2_tarski(sK96(X1,X2,X0,X3),sK96(X1,X2,X0,X3)))) ) ),
inference(cnf_transformation,[],[f11630]) ).
tcf(c_437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK96(X0,X1,X3,X2),X0)
| ( X2 = X3 )
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ( k2_zfmisc_1(X0,X1) != k1_relat_1(X3) )
| ( k2_zfmisc_1(X0,X1) != k1_relat_1(X2) ) ),
inference(cnf_transformation,[],[f9361]) ).
tcf(c_438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK97(X0,X1,X3,X2),X1)
| ( X2 = X3 )
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ( k2_zfmisc_1(X0,X1) != k1_relat_1(X3) )
| ( k2_zfmisc_1(X0,X1) != k1_relat_1(X2) ) ),
inference(cnf_transformation,[],[f9360]) ).
tcf(c_439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X2),X4)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X4)
| ( k1_funct_1(X0,k2_tarski(k2_tarski(sK98(X1,X2,X0,X3),sK99(X1,X2,X0,X3)),k2_tarski(sK98(X1,X2,X0,X3),sK98(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK98(X1,X2,X0,X3),sK99(X1,X2,X0,X3)),k2_tarski(sK98(X1,X2,X0,X3),sK98(X1,X2,X0,X3)))) ) ),
inference(cnf_transformation,[],[f11631]) ).
tcf(c_440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m1_subset_1(sK99(X1,X2,X0,X4),X2)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f9364]) ).
tcf(c_441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m1_subset_1(sK98(X1,X2,X0,X4),X1)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f9363]) ).
tcf(c_442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k1_funct_1(X0,k2_tarski(k2_tarski(X4,X5),k2_tarski(X4,X4))),X3)
| ( X3 = np__0 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X5,X2)
| ~ r2_hidden(X4,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f11632]) ).
tcf(c_443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X2),X4)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X4)
| ( k1_funct_1(X0,k2_tarski(k2_tarski(sK100(X1,X2,X0,X3),sK101(X1,X2,X0,X3)),k2_tarski(sK100(X1,X2,X0,X3),sK100(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK100(X1,X2,X0,X3),sK101(X1,X2,X0,X3)),k2_tarski(sK100(X1,X2,X0,X3),sK100(X1,X2,X0,X3)))) ) ),
inference(cnf_transformation,[],[f11633]) ).
tcf(c_444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK100(X1,X2,X0,X4),X1)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f9368]) ).
tcf(c_445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK101(X1,X2,X0,X4),X2)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f9367]) ).
tcf(c_446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X2,X1,X3)
| ~ m2_relset_1(X0,X1,X3)
| ~ v1_funct_2(X2,X1,X3)
| ~ v1_funct_2(X0,X1,X3)
| ( k1_funct_1(X0,sK102(X1,X0,X2)) != k1_funct_1(X2,sK102(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f9371]) ).
tcf(c_447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK102(X1,X3,X0),X1)
| ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f9370]) ).
tcf(c_448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X2,X1,X3)
| ~ m2_relset_1(X0,X1,X3)
| ~ v1_funct_2(X2,X1,X3)
| ~ v1_funct_2(X0,X1,X3)
| ( k1_funct_1(X0,sK103(X1,X0,X2)) != k1_funct_1(X2,sK103(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f9373]) ).
tcf(c_449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK103(X1,X3,X0),X1)
| ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f9372]) ).
tcf(c_450,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK104(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X2,k2_relat_1(X0))
| ~ m2_relset_1(X0,X1,k2_relat_1(X0))
| ~ v1_funct_2(X0,X1,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f12142]) ).
tcf(c_451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X0,sK104(X1,X2,X0)) = X2 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X2,k2_relat_1(X0))
| ~ m2_relset_1(X0,X1,k2_relat_1(X0))
| ~ v1_funct_2(X0,X1,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f12143]) ).
tcf(c_452,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK105(X1,X2,X0),X2)
| ( X2 = np__0 )
| ( k2_relat_1(X0) = X2 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f11634]) ).
tcf(c_453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = np__0 )
| ( k2_relat_1(X2) = X1 )
| ~ v1_funct_1(X2)
| ~ r2_hidden(X3,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ( sK105(X0,X1,X2) != k1_funct_1(X2,X3) ) ),
inference(cnf_transformation,[],[f11635]) ).
tcf(c_454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k1_funct_1(X0,X3),X2)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f11636]) ).
tcf(c_455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k1_funct_1(X0,X3),k2_relat_1(X0))
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f11637]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,k1_funct_1(X1,X0)),k2_tarski(X0,X0)),X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12144]) ).
tcf(c_458,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X2,X0) = X1 )
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(cnf_transformation,[],[f11640]) ).
tcf(c_462,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k1_relat_1(X0))
| ( k1_funct_1(X0,X1) = np__0 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12147]) ).
tcf(c_463,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,[],[f9387]) ).
tcf(c_465,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_xboole_0(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9389]) ).
tcf(c_466,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X1,X0) = k1_funct_1(X2,X0) )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(k2_xboole_0(X1,X2))
| ~ 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(cnf_transformation,[],[f12148]) ).
tcf(c_467,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(X0,X1) = sK107(X0,X1) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_funct_1(X0,sK106(X0,X1)) != k1_funct_1(X1,sK106(X0,X1)) ) ),
inference(cnf_transformation,[],[f9396]) ).
tcf(c_468,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK107(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_funct_1(X0,sK106(X0,X1)) != k1_funct_1(X1,sK106(X0,X1)) ) ),
inference(cnf_transformation,[],[f9395]) ).
tcf(c_469,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK107(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_funct_1(X0,sK106(X0,X1)) != k1_funct_1(X1,sK106(X0,X1)) ) ),
inference(cnf_transformation,[],[f9394]) ).
tcf(c_470,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK106(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) = sK107(X0,X1) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11646]) ).
tcf(c_471,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK107(X0,X1))
| r2_hidden(sK106(X0,X1),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1))))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11647]) ).
tcf(c_472,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK107(X0,X1))
| r2_hidden(sK106(X0,X1),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1))))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11648]) ).
tcf(c_473,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,[],[f9397]) ).
tcf(c_474,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,[],[f9398]) ).
tcf(c_475,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,[],[f9399]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_xboole_0(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f9400]) ).
tcf(c_479,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,[],[f9403]) ).
tcf(c_481,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,[],[f9406]) ).
tcf(c_482,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,[],[f9405]) ).
tcf(c_483,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,[],[f9407]) ).
tcf(c_484,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,[],[f11651]) ).
tcf(c_485,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,[],[f9409]) ).
tcf(c_487,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1))) = k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f11652]) ).
tcf(c_488,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,[],[f11653]) ).
tcf(c_489,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,[],[f11654]) ).
tcf(c_490,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,[],[f11655]) ).
tcf(c_491,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,[],[f11656]) ).
tcf(c_492,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k2_xboole_0(X0,X1)) = np__0,
inference(cnf_transformation,[],[f11657]) ).
tcf(c_494,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,[],[f9418]) ).
tcf(c_495,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,[],[f9419]) ).
tcf(c_496,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,[],[f9420]) ).
tcf(c_497,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,[],[f9421]) ).
tcf(c_498,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(X0,X1),X1) = k4_xboole_0(X0,X1),
inference(cnf_transformation,[],[f9422]) ).
tcf(c_499,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k4_xboole_0(X1,X0)) = k2_xboole_0(X0,X1),
inference(cnf_transformation,[],[f9423]) ).
tcf(c_500,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,[],[f11658]) ).
tcf(c_501,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,[],[f11659]) ).
tcf(c_502,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,[],[f11660]) ).
tcf(c_503,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,[],[f11661]) ).
tcf(c_504,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,[],[f11662]) ).
tcf(c_508,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_xboole_0(X0,X1) != np__0 ) ),
inference(cnf_transformation,[],[f11666]) ).
tcf(c_509,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(X1,X2) = X0 )
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,sK108(X1,X0,X2)) ),
inference(cnf_transformation,[],[f9435]) ).
tcf(c_510,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,sK108(X0,X1,X2))
| ( k2_xboole_0(X0,X2) = X1 )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9434]) ).
tcf(c_511,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,sK108(X0,X1,X2))
| ( k2_xboole_0(X0,X2) = X1 )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9433]) ).
tcf(c_512,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,[],[f9436]) ).
tcf(c_513,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(X0,X1) = X1 )
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9437]) ).
tcf(c_514,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ r1_tarski(k2_xboole_0(X0,X1),X2) ),
inference(cnf_transformation,[],[f9438]) ).
tcf(c_515,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X2,X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9439]) ).
tcf(c_516,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,[],[f9440]) ).
tcf(c_517,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,[],[f9441]) ).
tcf(c_518,plain,
! [X0: $i,X1: $i] : r1_tarski(X0,k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f9442]) ).
tcf(c_519,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k2_xboole_0(X0,X1)) = k2_xboole_0(X0,X1),
inference(cnf_transformation,[],[f9443]) ).
tcf(c_521,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,[],[f9445]) ).
tcf(c_522,plain,
! [X0: $i] : k2_xboole_0(X0,np__0) = X0,
inference(cnf_transformation,[],[f11667]) ).
tcf(c_523,plain,
! [X0: $i] : k2_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f9447]) ).
tcf(c_524,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f9448]) ).
tcf(c_525,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(X0,X1) = X2 )
| ~ r2_hidden(sK109(X0,X1,X2),X2)
| ~ r2_hidden(sK109(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f9454]) ).
tcf(c_526,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(X0,X1) = X2 )
| ~ r2_hidden(sK109(X0,X1,X2),X2)
| ~ r2_hidden(sK109(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f9453]) ).
tcf(c_527,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK109(X0,X1,X2),X2)
| r2_hidden(sK109(X0,X1,X2),X1)
| r2_hidden(sK109(X0,X1,X2),X0)
| ( k2_xboole_0(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f9452]) ).
tcf(c_528,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_xboole_0(X1,X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12149]) ).
tcf(c_529,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_xboole_0(X2,X1))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12150]) ).
tcf(c_530,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,[],[f12151]) ).
tcf(c_531,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f9455]) ).
tcf(c_532,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f9456]) ).
tcf(c_533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_2(X0,X1,X3)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X3)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f11669]) ).
tcf(c_534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X0,X1,X3)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X3)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f11670]) ).
tcf(c_535,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(X0,np__0,X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X2)
| ~ v1_funct_2(X0,np__0,X2)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f12153]) ).
tcf(c_536,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,np__0,X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X2)
| ~ v1_funct_2(X0,np__0,X2)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f12154]) ).
tcf(c_537,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k2_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f11675]) ).
tcf(c_539,plain,
k2_relat_1(np__0) = np__0,
inference(cnf_transformation,[],[f11676]) ).
tcf(c_540,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,[],[f9468]) ).
tcf(c_541,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,[],[f9469]) ).
tcf(c_542,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,[],[f11677]) ).
tcf(c_543,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,[],[f11678]) ).
tcf(c_546,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_relat_1(X1) = X2 )
| ~ v1_relat_1(X1)
| ~ r2_hidden(sK110(X1,X2),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,sK110(X1,X2)),k2_tarski(X0,X0)),X1) ),
inference(cnf_transformation,[],[f11681]) ).
tcf(c_547,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK110(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK111(X0,X1),sK110(X0,X1)),k2_tarski(sK111(X0,X1),sK111(X0,X1))),X0)
| ( k2_relat_1(X0) = X1 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11682]) ).
tcf(c_548,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,[],[f12155]) ).
tcf(c_549,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK112(X1,X0),X0),k2_tarski(sK112(X1,X0),sK112(X1,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f12156]) ).
tcf(c_550,plain,
! [X0: $i] :
( v1_xboole_0(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f9479]) ).
tcf(c_551,plain,
! [X0: $i] :
( v1_relat_1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f9478]) ).
tcf(c_552,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f9480]) ).
tcf(c_553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK113(X1,X2,X3),sK114(X1,X2,X3)),k2_tarski(sK113(X1,X2,X3),sK113(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f11685]) ).
tcf(c_554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK114(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f9482]) ).
tcf(c_555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK113(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f9481]) ).
tcf(c_556,plain,
! [X0: $i] :
( r2_hidden(sK115(X0),X0)
| r1_tarski(X0,k2_zfmisc_1(sK116(X0),sK117(X0))) ),
inference(cnf_transformation,[],[f9485]) ).
tcf(c_557,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,k2_zfmisc_1(sK116(X2),sK117(X2)))
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK115(X2) ) ),
inference(cnf_transformation,[],[f11686]) ).
tcf(c_558,plain,
! [X0: $i] :
( r2_hidden(sK118(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f11687]) ).
tcf(c_559,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ~ r2_hidden(X0,X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK118(X2) ) ),
inference(cnf_transformation,[],[f11688]) ).
tcf(c_560,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ~ r2_hidden(X1,X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK118(X2) ) ),
inference(cnf_transformation,[],[f11689]) ).
tcf(c_561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK119(X1,X2,X3),sK120(X1,X2,X3)),k2_tarski(sK119(X1,X2,X3),sK119(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f11690]) ).
tcf(c_562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK119(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f9490]) ).
tcf(c_563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK120(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f9489]) ).
tcf(c_567,plain,
! [X0: $i] :
( sP0(X0)
| v1_relat_1(X0)
| r2_hidden(sK124(X0),X0) ),
inference(cnf_transformation,[],[f9498]) ).
tcf(c_568,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| v1_relat_1(X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK124(X2) ) ),
inference(cnf_transformation,[],[f11693]) ).
tcf(c_569,plain,
! [X0: $i] :
( sP0(X0)
| v1_funct_1(X0)
| r2_hidden(sK124(X0),X0) ),
inference(cnf_transformation,[],[f9496]) ).
tcf(c_570,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| v1_funct_1(X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK124(X2) ) ),
inference(cnf_transformation,[],[f11694]) ).
tcf(c_571,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ( sK126(X0) != sK127(X0) ) ),
inference(cnf_transformation,[],[f9502]) ).
tcf(c_572,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK125(X0),sK126(X0)),k2_tarski(sK125(X0),sK125(X0))),X0) ),
inference(cnf_transformation,[],[f11695]) ).
tcf(c_573,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK125(X0),sK127(X0)),k2_tarski(sK125(X0),sK125(X0))),X0) ),
inference(cnf_transformation,[],[f11696]) ).
tcf(c_574,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,[],[f11697]) ).
tcf(c_575,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK128(X0),sK129(X0)),k2_tarski(sK128(X0),sK128(X0))),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11698]) ).
tcf(c_576,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_relat_1(X0) = X1 )
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK130(X0,X1),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK130(X0,X1),X2),k2_tarski(sK130(X0,X1),sK130(X0,X1))),X0) ),
inference(cnf_transformation,[],[f11699]) ).
tcf(c_577,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK130(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK130(X0,X1),sK131(X0,X1)),k2_tarski(sK130(X0,X1),sK130(X0,X1))),X0)
| ( k1_relat_1(X0) = X1 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11700]) ).
tcf(c_578,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,[],[f12157]) ).
tcf(c_579,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK132(X1,X0)),k2_tarski(X0,X0)),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12158]) ).
tcf(c_580,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK133(X0,X1),sK134(X0,X1)),k2_tarski(sK133(X0,X1),sK133(X0,X1))),X1) ),
inference(cnf_transformation,[],[f11703]) ).
tcf(c_581,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(k2_tarski(k2_tarski(sK133(X0,X1),sK134(X0,X1)),k2_tarski(sK133(X0,X1),sK133(X0,X1))),X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11704]) ).
tcf(c_583,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK135(X0,X1),sK136(X0,X1)),k2_tarski(sK135(X0,X1),sK135(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK135(X0,X1),sK136(X0,X1)),k2_tarski(sK135(X0,X1),sK135(X0,X1))),X0) ),
inference(cnf_transformation,[],[f11706]) ).
tcf(c_584,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK135(X0,X1),sK136(X0,X1)),k2_tarski(sK135(X0,X1),sK135(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK135(X0,X1),sK136(X0,X1)),k2_tarski(sK135(X0,X1),sK135(X0,X1))),X0)
| ( X0 = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11707]) ).
tcf(c_587,plain,
! [X0: $i] :
( v1_relat_1(X0)
| r2_hidden(sK137(X0),X0) ),
inference(cnf_transformation,[],[f9517]) ).
tcf(c_588,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK137(X2) ) ),
inference(cnf_transformation,[],[f11710]) ).
tcf(c_589,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k2_tarski(sK138(X0),sK139(X0)),k2_tarski(sK138(X0),sK138(X0))) = X0 )
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11711]) ).
tcf(c_590,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK141(X1),X1)
| r2_hidden(sK140(X0),X0)
| ( X0 = X1 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X0) ),
inference(cnf_transformation,[],[f11712]) ).
tcf(c_591,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK141(X1),X1)
| r2_hidden(sK140(X0),X0)
| r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_tarski(sK142(X0,X1),sK142(X0,X1))),X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f11713]) ).
tcf(c_592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK140(X3),X3)
| ( X2 = X3 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X3,X2),sK143(X3,X2)),k2_tarski(sK142(X3,X2),sK142(X3,X2))),X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X3,X2),sK143(X3,X2)),k2_tarski(sK142(X3,X2),sK142(X3,X2))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK141(X2) ) ),
inference(cnf_transformation,[],[f11714]) ).
tcf(c_593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK140(X3),X3)
| r2_hidden(k2_tarski(k2_tarski(sK142(X3,X2),sK143(X3,X2)),k2_tarski(sK142(X3,X2),sK142(X3,X2))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK142(X3,X2),sK143(X3,X2)),k2_tarski(sK142(X3,X2),sK142(X3,X2))),X2)
| ( X2 = X3 )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK141(X2) ) ),
inference(cnf_transformation,[],[f11715]) ).
tcf(c_594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK141(X3),X3)
| ( X2 = X3 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X2,X3),sK143(X2,X3)),k2_tarski(sK142(X2,X3),sK142(X2,X3))),X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X2,X3),sK143(X2,X3)),k2_tarski(sK142(X2,X3),sK142(X2,X3))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK140(X2) ) ),
inference(cnf_transformation,[],[f11716]) ).
tcf(c_595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK141(X3),X3)
| r2_hidden(k2_tarski(k2_tarski(sK142(X2,X3),sK143(X2,X3)),k2_tarski(sK142(X2,X3),sK142(X2,X3))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK142(X2,X3),sK143(X2,X3)),k2_tarski(sK142(X2,X3),sK142(X2,X3))),X2)
| ( X2 = X3 )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK140(X2) ) ),
inference(cnf_transformation,[],[f11717]) ).
tcf(c_596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X5 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X2,X5),sK143(X2,X5)),k2_tarski(sK142(X2,X5),sK142(X2,X5))),X5)
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X2,X5),sK143(X2,X5)),k2_tarski(sK142(X2,X5),sK142(X2,X5))),X2)
| ( k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)) != sK141(X5) )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK140(X2) ) ),
inference(cnf_transformation,[],[f11718]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK142(X2,X5),sK143(X2,X5)),k2_tarski(sK142(X2,X5),sK142(X2,X5))),X5)
| r2_hidden(k2_tarski(k2_tarski(sK142(X2,X5),sK143(X2,X5)),k2_tarski(sK142(X2,X5),sK142(X2,X5))),X2)
| ( X2 = X5 )
| ( k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)) != sK141(X5) )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK140(X2) ) ),
inference(cnf_transformation,[],[f11719]) ).
tcf(c_598,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK144(X0),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK145(X0,X1),sK146(X0,X1)),k2_tarski(sK145(X0,X1),sK145(X0,X1))),X1) ),
inference(cnf_transformation,[],[f11720]) ).
tcf(c_599,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK144(X0),X0)
| r2_hidden(k2_tarski(k2_tarski(sK145(X0,X1),sK146(X0,X1)),k2_tarski(sK145(X0,X1),sK145(X0,X1))),X0) ),
inference(cnf_transformation,[],[f11721]) ).
tcf(c_600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK145(X2,X3),sK146(X2,X3)),k2_tarski(sK145(X2,X3),sK145(X2,X3))),X3)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK144(X2) ) ),
inference(cnf_transformation,[],[f11722]) ).
tcf(c_601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| r2_hidden(k2_tarski(k2_tarski(sK145(X2,X3),sK146(X2,X3)),k2_tarski(sK145(X2,X3),sK145(X2,X3))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK144(X2) ) ),
inference(cnf_transformation,[],[f11723]) ).
tcf(c_602,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(sK147(X0,X1),sK148(X0,X1)),k2_tarski(sK147(X0,X1),sK147(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK147(X0,X1),sK148(X0,X1)),k2_tarski(sK147(X0,X1),sK147(X0,X1))),X0) ),
inference(cnf_transformation,[],[f11724]) ).
tcf(c_603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK147(X0,X3),sK148(X0,X3)),k2_tarski(sK147(X0,X3),sK147(X0,X3))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK147(X0,X3),sK148(X0,X3)),k2_tarski(sK147(X0,X3),sK147(X0,X3))),X0)
| ( X0 = X3 )
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f11725]) ).
tcf(c_604,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(sK149(X0,X1),sK150(X0,X1)),k2_tarski(sK149(X0,X1),sK149(X0,X1))),X1) ),
inference(cnf_transformation,[],[f11726]) ).
tcf(c_605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X3)
| r2_hidden(k2_tarski(k2_tarski(sK149(X0,X3),sK150(X0,X3)),k2_tarski(sK149(X0,X3),sK149(X0,X3))),X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f11727]) ).
tcf(c_606,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(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3)),k2_tarski(sK151(X0,X1,X2,X3),sK151(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3)),k2_tarski(sK151(X0,X1,X2,X3),sK151(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f11728]) ).
tcf(c_607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3)),k2_tarski(sK151(X0,X1,X2,X3),sK151(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3)),k2_tarski(sK151(X0,X1,X2,X3),sK151(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1))
| ( k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ) ),
inference(cnf_transformation,[],[f11729]) ).
tcf(c_608,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,[],[f11730]) ).
tcf(c_610,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,[],[f11732]) ).
tcf(c_611,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,[],[f11733]) ).
tcf(c_612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_tarski(k2_tarski(sK153(X0,X1,X2,X3,X4),sK154(X0,X1,X2,X3,X4)),k2_tarski(sK153(X0,X1,X2,X3,X4),sK153(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,[],[f11734]) ).
tcf(c_613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK153(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,[],[f11735]) ).
tcf(c_614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK154(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,[],[f11736]) ).
tcf(c_615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK155(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f9545]) ).
tcf(c_616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK156(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f9544]) ).
tcf(c_617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK155(X1,X2,X3),sK156(X1,X2,X3)),k2_tarski(sK155(X1,X2,X3),sK155(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f11737]) ).
tcf(c_618,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK157(X0),sK158(X0)),k2_tarski(sK157(X0),sK157(X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f11738]) ).
tcf(c_619,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,[],[f11739]) ).
tcf(c_620,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,[],[f11740]) ).
tcf(c_621,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(sK159(X2,X3,X4),X4)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK159(X2,X3,X4) ) ),
inference(cnf_transformation,[],[f11741]) ).
tcf(c_622,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK160(X0,X1,X2),X0)
| r2_hidden(sK159(X0,X1,X2),X2)
| ( k2_zfmisc_1(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f9555]) ).
tcf(c_623,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK161(X0,X1,X2),X1)
| r2_hidden(sK159(X0,X1,X2),X2)
| ( k2_zfmisc_1(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f9554]) ).
tcf(c_624,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK159(X0,X1,X2),X2)
| ( k2_zfmisc_1(X0,X1) = X2 )
| ( k2_tarski(k2_tarski(sK160(X0,X1,X2),sK161(X0,X1,X2)),k2_tarski(sK160(X0,X1,X2),sK160(X0,X1,X2))) = sK159(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f11742]) ).
tcf(c_625,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,[],[f12162]) ).
tcf(c_626,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK162(X1,X2,X0),X1)
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f12163]) ).
tcf(c_627,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK163(X1,X2,X0),X2)
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f12164]) ).
tcf(c_628,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK162(X1,X2,X0),sK163(X1,X2,X0)),k2_tarski(sK162(X1,X2,X0),sK162(X1,X2,X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f12165]) ).
tcf(c_630,plain,
l1_pre_topc(sK164),
inference(cnf_transformation,[],[f9558]) ).
tcf(c_631,plain,
l1_group_1(sK165),
inference(cnf_transformation,[],[f9560]) ).
tcf(c_632,plain,
~ v3_struct_0(sK165),
inference(cnf_transformation,[],[f9559]) ).
tcf(c_633,plain,
l1_group_1(sK166),
inference(cnf_transformation,[],[f9561]) ).
tcf(c_634,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,[],[f9562]) ).
tcf(c_635,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,[],[f9563]) ).
tcf(c_636,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,[],[f9564]) ).
tcf(c_637,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,[],[f9565]) ).
tcf(c_638,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)
| ~ v2_binop_1(X4,X2)
| ~ v2_binop_1(X1,X0)
| ~ v1_binop_1(X4,X2)
| ~ v1_binop_1(X1,X0)
| ~ v1_setwiseo(X4,X2)
| ~ v1_setwiseo(X1,X0)
| ~ m1_subset_1(X7,k5_finsub_1(X6))
| ~ m2_relset_1(X5,X6,X2)
| ~ m2_relset_1(X3,X2,X0)
| ~ v1_funct_2(X5,X6,X2)
| ~ v1_funct_2(X3,X2,X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k8_funct_2(X2,X0,X3,k3_binop_1(X2,X4)) != k3_binop_1(X0,X1) )
| ( k2_binop_1(X0,X0,X0,X1,k8_funct_2(X2,X0,X3,sK167(X2,X4,X0,X1,X3)),k8_funct_2(X2,X0,X3,sK168(X2,X4,X0,X1,X3))) != k8_funct_2(X2,X0,X3,k2_binop_1(X2,X2,X2,X4,sK167(X2,X4,X0,X1,X3),sK168(X2,X4,X0,X1,X3))) ) ),
inference(cnf_transformation,[],[f9568]) ).
tcf(c_639,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(sK168(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)
| ~ v2_binop_1(X4,X1)
| ~ v2_binop_1(X3,X0)
| ~ v1_binop_1(X4,X1)
| ~ v1_binop_1(X3,X0)
| ~ v1_setwiseo(X4,X1)
| ~ v1_setwiseo(X3,X0)
| ~ m1_subset_1(X7,k5_finsub_1(X6))
| ~ m2_relset_1(X5,X6,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X5,X6,X0)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ( k8_funct_2(X0,X1,X2,k3_binop_1(X0,X3)) != k3_binop_1(X1,X4) ) ),
inference(cnf_transformation,[],[f9567]) ).
tcf(c_640,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(sK167(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)
| ~ v2_binop_1(X4,X1)
| ~ v2_binop_1(X3,X0)
| ~ v1_binop_1(X4,X1)
| ~ v1_binop_1(X3,X0)
| ~ v1_setwiseo(X4,X1)
| ~ v1_setwiseo(X3,X0)
| ~ m1_subset_1(X7,k5_finsub_1(X6))
| ~ m2_relset_1(X5,X6,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X5,X6,X0)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ( k8_funct_2(X0,X1,X2,k3_binop_1(X0,X3)) != k3_binop_1(X1,X4) ) ),
inference(cnf_transformation,[],[f9566]) ).
tcf(c_641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,k7_setwiseo(X3,X1,X0,X4,X2),k7_setwiseo(X3,X1,X0,X5,X2)) = k7_setwiseo(X3,X1,X0,k5_setwiseo(X3,X4,X5),X2) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ v1_setwiseo(X0,X1)
| ~ m1_subset_1(X5,k5_finsub_1(X3))
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9569]) ).
tcf(c_642,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)
| ~ v2_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ v1_setwiseo(X0,X1)
| ~ m1_subset_1(X5,X3)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9570]) ).
tcf(c_643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k7_setwiseo(X1,X0,X4,X3,X5) = X2 )
| ~ sP3(X5,X4,X3,X2,X1,X0)
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9572]) ).
tcf(c_644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP2(X4,X3,k7_setwiseo(X3,X4,X1,X2,X0),X2,X1,X0)
| ~ sP3(X0,X1,X2,k7_setwiseo(X3,X4,X1,X2,X0),X3,X4) ),
inference(cnf_transformation,[],[f12166]) ).
tcf(c_645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP2(X1,X0,k8_funct_2(k5_finsub_1(X0),X1,X2,X5),X5,X4,X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,k5_finsub_1(X0),X1)
| ~ v1_funct_2(X2,k5_finsub_1(X0),X1)
| ~ sP1(X3,X1,X0,X2,X4,X5)
| ( sK169(X1,X4,X2) != k1_funct_1(X2,np__0) )
| ( k8_funct_2(k5_finsub_1(X0),X1,X2,k2_setwiseo(X0,sK170(X1,X0,X3,X2))) != k8_funct_2(X0,X1,X3,sK170(X1,X0,X3,X2)) ) ),
inference(cnf_transformation,[],[f12167]) ).
tcf(c_646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( m1_subset_1(sK170(X0,X4,X3,X2),X4)
| sP2(X0,X4,k8_funct_2(k5_finsub_1(X4),X0,X2,X5),X5,X1,X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,k5_finsub_1(X4),X0)
| ~ v1_funct_2(X2,k5_finsub_1(X4),X0)
| ~ sP1(X3,X0,X4,X2,X1,X5)
| ( sK169(X0,X1,X2) != k1_funct_1(X2,np__0) ) ),
inference(cnf_transformation,[],[f12168]) ).
tcf(c_647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r3_binop_1(X1,sK169(X1,X4,X2),X4)
| sP2(X1,X0,k8_funct_2(k5_finsub_1(X0),X1,X2,X5),X5,X4,X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,k5_finsub_1(X0),X1)
| ~ v1_funct_2(X2,k5_finsub_1(X0),X1)
| ~ sP1(X3,X1,X0,X2,X4,X5)
| ( k8_funct_2(k5_finsub_1(X0),X1,X2,k2_setwiseo(X0,sK170(X1,X0,X3,X2))) != k8_funct_2(X0,X1,X3,sK170(X1,X0,X3,X2)) ) ),
inference(cnf_transformation,[],[f12169]) ).
tcf(c_648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r3_binop_1(X1,sK169(X1,X4,X3),X4)
| m1_subset_1(sK170(X1,X2,X0,X3),X2)
| sP2(X1,X2,k8_funct_2(k5_finsub_1(X2),X1,X3,X5),X5,X4,X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X3,k5_finsub_1(X2),X1)
| ~ sP1(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f12170]) ).
tcf(c_649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( m1_subset_1(sK169(X1,X4,X2),X1)
| sP2(X1,X0,k8_funct_2(k5_finsub_1(X0),X1,X2,X5),X5,X4,X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,k5_finsub_1(X0),X1)
| ~ v1_funct_2(X2,k5_finsub_1(X0),X1)
| ~ sP1(X3,X1,X0,X2,X4,X5)
| ( k8_funct_2(k5_finsub_1(X0),X1,X2,k2_setwiseo(X0,sK170(X1,X0,X3,X2))) != k8_funct_2(X0,X1,X3,sK170(X1,X0,X3,X2)) ) ),
inference(cnf_transformation,[],[f12171]) ).
tcf(c_650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( m1_subset_1(sK169(X1,X4,X3),X1)
| m1_subset_1(sK170(X1,X2,X0,X3),X2)
| sP2(X1,X2,k8_funct_2(k5_finsub_1(X2),X1,X3,X5),X5,X4,X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X3,k5_finsub_1(X2),X1)
| ~ sP1(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f12172]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_funct_1(sK171(X0,X1,X2,X3,X4,X5))
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9579]) ).
tcf(c_652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_funct_2(sK171(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0)
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9578]) ).
tcf(c_653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( m2_relset_1(sK171(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0)
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9577]) ).
tcf(c_654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k8_funct_2(k5_finsub_1(X1),X0,sK171(X0,X1,X2,X3,X4,X5),X3) = X2 )
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9576]) ).
tcf(c_655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( k1_funct_1(sK171(X0,X1,X2,X3,X4,X5),np__0) = X6 )
| ~ m1_subset_1(X6,X0)
| ~ r3_binop_1(X0,X6,X4)
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f11748]) ).
tcf(c_656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( k8_funct_2(k5_finsub_1(X1),X0,sK171(X0,X1,X2,X3,X4,X5),k2_setwiseo(X1,X6)) = k8_funct_2(X1,X0,X5,X6) )
| ~ m1_subset_1(X6,X1)
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9574]) ).
tcf(c_657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP1(X5,X0,X1,sK171(X0,X1,X2,X3,X4,X5),X4,X3)
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9573]) ).
tcf(c_665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| sP3(X2,X0,X4,X5,X3,X1)
| ( X4 = np__0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11751]) ).
tcf(c_666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| sP3(X2,X0,X4,X5,X3,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ v1_setwiseo(X0,X1)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9593]) ).
tcf(c_667,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,k3_binop_1(X1,X0),X2) = X2 )
| ~ v1_funct_1(X0)
| ~ v1_setwiseo(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9596]) ).
tcf(c_668,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,X2,k3_binop_1(X1,X0)) = X2 )
| ~ v1_funct_1(X0)
| ~ v1_setwiseo(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9595]) ).
tcf(c_669,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_setwiseo(X0,X1)
| ~ v1_funct_1(X0)
| ~ r3_binop_1(X1,k3_binop_1(X1,X0),X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9598]) ).
tcf(c_670,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r3_binop_1(X1,k3_binop_1(X1,X0),X0)
| ~ v1_funct_1(X0)
| ~ v1_setwiseo(X0,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9597]) ).
tcf(c_671,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| v1_setwiseo(X0,X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ r3_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9601]) ).
tcf(c_672,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m1_subset_1(sK174(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_setwiseo(X0,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9600]) ).
tcf(c_673,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r3_binop_1(X1,sK174(X1,X0),X0)
| ~ v1_funct_1(X0)
| ~ v1_setwiseo(X0,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9599]) ).
tcf(c_674,plain,
! [X0: $i] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f9604]) ).
tcf(c_675,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,[],[f9603]) ).
tcf(c_676,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,[],[f9602]) ).
tcf(c_677,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,[],[f9605]) ).
tcf(c_678,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,[],[f9606]) ).
tcf(c_679,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,[],[f9607]) ).
tcf(c_680,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,[],[f9608]) ).
tcf(c_681,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,[],[f9609]) ).
tcf(c_682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k3_binop_1(X1,X0) = X3 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ r3_binop_1(X1,X3,X0)
| ~ r3_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9611]) ).
tcf(c_683,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,k3_binop_1(X1,X0),X0)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ r3_binop_1(X1,X2,X0)
| ~ m1_subset_1(k3_binop_1(X1,X0),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12173]) ).
tcf(c_684,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,k2_group_1(X1)) = k2_group_1(X2) )
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f9612]) ).
tcf(c_685,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,[],[f9613]) ).
tcf(c_686,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k6_group_1(X0,X1,k2_group_1(X0)) = k2_group_1(X0) )
| ~ v1_int_1(X1)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f9614]) ).
tcf(c_688,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,[],[f9616]) ).
tcf(c_689,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,[],[f9617]) ).
tcf(c_692,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,[],[f9619]) ).
tcf(c_693,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,[],[f9618]) ).
tcf(c_694,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,[],[f9622]) ).
tcf(c_695,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,[],[f9623]) ).
tcf(c_696,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,[],[f9625]) ).
tcf(c_697,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,[],[f9624]) ).
tcf(c_700,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,[],[f12175]) ).
tcf(c_701,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,[],[f12176]) ).
tcf(c_702,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,sK175(X0,X1)) != sK175(X0,X1) )
| ( k1_group_1(X0,sK175(X0,X1),X1) != sK175(X0,X1) ) ),
inference(cnf_transformation,[],[f9631]) ).
tcf(c_703,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK175(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,[],[f9630]) ).
tcf(c_704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| r3_binop_1(X0,X2,X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X0)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ r3_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ),
inference(cnf_transformation,[],[f9634]) ).
tcf(c_705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| r3_binop_1(X1,X3,X5)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X0)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ r3_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ),
inference(cnf_transformation,[],[f9633]) ).
tcf(c_706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| r3_binop_1(k2_zfmisc_1(X1,X3),k1_domain_1(X1,X3,X4,X5),k7_filter_1(X1,X3,X0,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X5,X3)
| ~ m1_subset_1(X4,X1)
| ~ r3_binop_1(X3,X5,X2)
| ~ r3_binop_1(X1,X4,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9632]) ).
tcf(c_707,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,[],[f9635]) ).
tcf(c_708,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,[],[f9636]) ).
tcf(c_709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ r3_binop_1(X1,X3,X0)
| ~ r3_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9637]) ).
tcf(c_710,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ( k1_binop_1(X0,sK176(X1,X0,X2),X2) != sK176(X1,X0,X2) ) ),
inference(cnf_transformation,[],[f9640]) ).
tcf(c_711,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,X2,X0)
| m1_subset_1(sK176(X1,X0,X2),X1)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9639]) ).
tcf(c_713,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X2,X1,X0)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X2)
| ~ m1_subset_1(X1,X2)
| ~ m2_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ( k1_binop_1(X0,X1,sK177(X2,X0,X1)) != sK177(X2,X0,X1) ) ),
inference(cnf_transformation,[],[f9643]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,X2,X0)
| m1_subset_1(sK177(X1,X0,X2),X1)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9642]) ).
tcf(c_716,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ( k1_binop_1(X0,X2,sK178(X1,X0,X2)) != sK178(X1,X0,X2) )
| ( k1_binop_1(X0,sK178(X1,X0,X2),X2) != sK178(X1,X0,X2) ) ),
inference(cnf_transformation,[],[f9647]) ).
tcf(c_717,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,X2,X0)
| m1_subset_1(sK178(X1,X0,X2),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9646]) ).
tcf(c_718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_binop_1(X0,X2,X3) = X3 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ r3_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9645]) ).
tcf(c_719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_binop_1(X0,X3,X2) = X3 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ r3_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9644]) ).
tcf(c_720,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_group_6(X2,X1,X0)
| ~ l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ( k1_group_1(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,sK179(X1,X0,X2)),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,sK180(X1,X0,X2))) != k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,k1_group_1(X1,sK179(X1,X0,X2),sK180(X1,X0,X2))) ) ),
inference(cnf_transformation,[],[f9651]) ).
tcf(c_721,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_group_6(X0,X1,X2)
| m1_subset_1(sK180(X1,X2,X0),u1_struct_0(X1))
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f9650]) ).
tcf(c_722,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_group_6(X0,X1,X2)
| m1_subset_1(sK179(X1,X2,X0),u1_struct_0(X1))
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f9649]) ).
tcf(c_723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k1_group_1(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X4)) = k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,k1_group_1(X1,X3,X4)) )
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f9648]) ).
tcf(c_724,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,[],[f9652]) ).
tcf(c_725,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)) )
| ~ v1_int_1(X3)
| ~ 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) != k1_group_1(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f9653]) ).
tcf(c_726,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)) )
| ~ v1_int_1(X4)
| ~ 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,[],[f9654]) ).
tcf(c_727,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)) )
| ~ v1_int_1(X4)
| ~ v1_int_1(X3)
| ~ 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) != k1_group_1(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f9655]) ).
tcf(c_728,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)) )
| ~ v1_int_1(X3)
| ~ 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) != k1_group_1(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f9656]) ).
tcf(c_729,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) )
| ~ v1_int_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9658]) ).
tcf(c_730,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) )
| ~ v1_int_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9657]) ).
tcf(c_731,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) )
| ~ v1_int_1(X3)
| ~ 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,[],[f9659]) ).
tcf(c_732,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) )
| ~ v1_int_1(X3)
| ~ 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,[],[f9660]) ).
tcf(c_733,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) )
| ~ v1_int_1(X3)
| ~ v1_int_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9661]) ).
tcf(c_734,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,[],[f9662]) ).
tcf(c_735,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,[],[f9663]) ).
tcf(c_736,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,[],[f9664]) ).
tcf(c_737,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK181(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,[],[f9666]) ).
tcf(c_738,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,sK181(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,[],[f9665]) ).
tcf(c_739,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK182(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,[],[f9668]) ).
tcf(c_740,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,X0,sK182(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,[],[f9667]) ).
tcf(c_741,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,[],[f9670]) ).
tcf(c_742,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,[],[f9669]) ).
tcf(c_747,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP4(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,sK186(X0)) != sK187(X0) )
| ( k1_group_1(X0,sK186(X0),X1) != sK187(X0) ) ),
inference(cnf_transformation,[],[f9680]) ).
tcf(c_748,plain,
! [X0: $i] :
( sP4(X0)
| v4_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK187(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f9679]) ).
tcf(c_749,plain,
! [X0: $i] :
( sP4(X0)
| v4_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK186(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f9678]) ).
tcf(c_750,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP4(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,sK186(X0)) != sK187(X0) )
| ( k1_group_1(X0,sK186(X0),X1) != sK187(X0) ) ),
inference(cnf_transformation,[],[f9677]) ).
tcf(c_751,plain,
! [X0: $i] :
( sP4(X0)
| v3_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK187(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f9676]) ).
tcf(c_752,plain,
! [X0: $i] :
( sP4(X0)
| v3_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK186(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f9675]) ).
tcf(c_757,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP5(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,sK191(X0,X1)) != X1 )
| ( k1_group_1(X0,X1,sK191(X0,X1)) != sK191(X0,X1) )
| ( k1_group_1(X0,sK191(X0,X1),X2) != X1 )
| ( k1_group_1(X0,sK191(X0,X1),X1) != sK191(X0,X1) ) ),
inference(cnf_transformation,[],[f9691]) ).
tcf(c_758,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP5(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,sK191(X0,X1)) != X1 )
| ( k1_group_1(X0,X1,sK191(X0,X1)) != sK191(X0,X1) )
| ( k1_group_1(X0,sK191(X0,X1),X2) != X1 )
| ( k1_group_1(X0,sK191(X0,X1),X1) != sK191(X0,X1) ) ),
inference(cnf_transformation,[],[f9690]) ).
tcf(c_759,plain,
! [X0: $i,X1: $i] :
( sP5(X1)
| v3_group_1(X1)
| v3_struct_0(X1)
| m1_subset_1(sK191(X1,X0),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9687]) ).
tcf(c_760,plain,
! [X0: $i,X1: $i] :
( sP5(X1)
| v4_group_1(X1)
| v3_struct_0(X1)
| m1_subset_1(sK191(X1,X0),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9686]) ).
tcf(c_761,plain,
! [X0: $i] :
( v4_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ( k1_group_1(X0,k1_group_1(X0,sK192(X0),sK193(X0)),sK194(X0)) != k1_group_1(X0,sK192(X0),k1_group_1(X0,sK193(X0),sK194(X0))) ) ),
inference(cnf_transformation,[],[f9697]) ).
tcf(c_762,plain,
! [X0: $i] :
( v4_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK194(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f9696]) ).
tcf(c_763,plain,
! [X0: $i] :
( v4_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK193(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f9695]) ).
tcf(c_764,plain,
! [X0: $i] :
( v4_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK192(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f9694]) ).
tcf(c_765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,k1_group_1(X1,X0,X2),X3) = k1_group_1(X1,X0,k1_group_1(X1,X2,X3)) )
| ~ 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,[],[f9693]) ).
tcf(c_766,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,sK195(X0,X1)) != X1 )
| ( k1_group_1(X0,X1,sK195(X0,X1)) != sK195(X0,X1) )
| ( k1_group_1(X0,sK195(X0,X1),X2) != X1 )
| ( k1_group_1(X0,sK195(X0,X1),X1) != sK195(X0,X1) ) ),
inference(cnf_transformation,[],[f9705]) ).
tcf(c_767,plain,
! [X0: $i,X1: $i] :
( v3_group_1(X1)
| v3_struct_0(X1)
| m1_subset_1(sK195(X1,X0),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9704]) ).
tcf(c_768,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK196(X0),u1_struct_0(X0))
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f9703]) ).
tcf(c_769,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,X0,sK196(X1)) = X0 )
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9702]) ).
tcf(c_770,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,sK196(X1),X0) = X0 )
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9701]) ).
tcf(c_771,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK197(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,[],[f9700]) ).
tcf(c_772,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,X0,sK197(X1,X0)) = sK196(X1) )
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9699]) ).
tcf(c_773,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,sK197(X1,X0),X0) = sK196(X1) )
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9698]) ).
tcf(c_774,plain,
l1_group_1(sK198),
inference(cnf_transformation,[],[f9709]) ).
tcf(c_775,plain,
~ v3_struct_0(sK198),
inference(cnf_transformation,[],[f9708]) ).
tcf(c_776,plain,
v4_group_1(sK198),
inference(cnf_transformation,[],[f9707]) ).
tcf(c_777,plain,
v7_group_1(sK198),
inference(cnf_transformation,[],[f9706]) ).
tcf(c_778,plain,
! [X0: $i] :
( v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ( k1_group_1(X0,sK199(X0),sK200(X0)) != k1_group_1(X0,sK200(X0),sK199(X0)) ) ),
inference(cnf_transformation,[],[f9713]) ).
tcf(c_779,plain,
! [X0: $i] :
( v7_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK200(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f9712]) ).
tcf(c_780,plain,
! [X0: $i] :
( v7_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK199(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f9711]) ).
tcf(c_781,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,X0,X2) = k1_group_1(X1,X2,X0) )
| ~ v7_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,[],[f9710]) ).
tcf(c_782,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK201(X1,X0))
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f9717]) ).
tcf(c_783,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(sK201(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f9716]) ).
tcf(c_784,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK201(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f9715]) ).
tcf(c_785,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(sK201(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,[],[f11752]) ).
tcf(c_786,plain,
~ v1_xboole_0(sK202),
inference(cnf_transformation,[],[f9719]) ).
tcf(c_787,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,sK202)
| ~ v1_xboole_0(k4_xboole_0(sK202,k2_tarski(X0,X0))) ),
inference(cnf_transformation,[],[f11753]) ).
tcf(c_789,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(X0,X1))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9721]) ).
tcf(c_790,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,[],[f9722]) ).
tcf(c_791,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,[],[f9723]) ).
tcf(c_792,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f9724]) ).
tcf(c_794,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,[],[f9727]) ).
tcf(c_795,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,[],[f9726]) ).
tcf(c_797,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k2_tarski(X0,X0),X1) = np__0 )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11755]) ).
tcf(c_801,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,[],[f11759]) ).
tcf(c_802,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| ( k4_xboole_0(X0,k2_tarski(X1,X1)) = X0 ) ),
inference(cnf_transformation,[],[f11760]) ).
tcf(c_803,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ( k4_xboole_0(X0,k2_tarski(X1,X1)) != X0 ) ),
inference(cnf_transformation,[],[f11761]) ).
tcf(c_804,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,[],[f11762]) ).
tcf(c_806,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(X0,k4_xboole_0(X1,k2_tarski(X0,X0))),
inference(cnf_transformation,[],[f12177]) ).
tcf(c_807,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,[],[f11765]) ).
tcf(c_808,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) != np__0 ) ),
inference(cnf_transformation,[],[f11766]) ).
tcf(c_809,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,[],[f11767]) ).
tcf(c_810,plain,
! [X0: $i] : k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X0)) != k2_tarski(X0,X0),
inference(cnf_transformation,[],[f12178]) ).
tcf(c_811,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,[],[f11769]) ).
tcf(c_812,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9744]) ).
tcf(c_813,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,[],[f11770]) ).
tcf(c_814,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,[],[f11771]) ).
tcf(c_815,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,[],[f11772]) ).
tcf(c_816,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ r1_tarski(X0,k4_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f11773]) ).
tcf(c_817,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11774]) ).
tcf(c_818,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k4_xboole_0(X0,X1) != np__0 ) ),
inference(cnf_transformation,[],[f11775]) ).
tcf(c_819,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f9752]) ).
tcf(c_820,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,[],[f9753]) ).
tcf(c_821,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,[],[f9754]) ).
tcf(c_822,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,[],[f9755]) ).
tcf(c_823,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(X0,X1) != k4_xboole_0(X1,X0) ) ),
inference(cnf_transformation,[],[f9756]) ).
tcf(c_824,plain,
! [X0: $i] : k4_xboole_0(np__0,X0) = np__0,
inference(cnf_transformation,[],[f11776]) ).
tcf(c_825,plain,
! [X0: $i] : k4_xboole_0(X0,np__0) = X0,
inference(cnf_transformation,[],[f11777]) ).
tcf(c_826,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK203(X0,X1,X2),X1)
| ( k4_xboole_0(X0,X1) = X2 )
| ~ r2_hidden(sK203(X0,X1,X2),X2)
| ~ r2_hidden(sK203(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f9764]) ).
tcf(c_827,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK203(X0,X1,X2),X2)
| r2_hidden(sK203(X0,X1,X2),X0)
| ( k4_xboole_0(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f9763]) ).
tcf(c_828,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK203(X0,X1,X2),X2)
| ( k4_xboole_0(X0,X1) = X2 )
| ~ r2_hidden(sK203(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f9762]) ).
tcf(c_829,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,[],[f12179]) ).
tcf(c_830,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X1)
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f12180]) ).
tcf(c_831,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f12181]) ).
tcf(c_832,plain,
~ v1_finset_1(k5_numbers),
inference(cnf_transformation,[],[f9765]) ).
tcf(c_833,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,[],[f9768]) ).
tcf(c_834,plain,
! [X0: $i] :
( m2_subset_1(sK204(X0),k1_numbers,k5_numbers)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9767]) ).
tcf(c_835,plain,
! [X0: $i] :
( ( k1_card_1(sK204(X0)) = k1_card_1(X0) )
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9766]) ).
tcf(c_836,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k1_card_1(X0)) ),
inference(cnf_transformation,[],[f9770]) ).
tcf(c_837,plain,
! [X0: $i] :
( v1_finset_1(k1_card_1(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9769]) ).
tcf(c_839,plain,
! [X0: $i] :
( v1_finset_1(k2_relat_1(X0))
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f9772]) ).
tcf(c_840,plain,
~ v1_xboole_0(sK205),
inference(cnf_transformation,[],[f9776]) ).
tcf(c_841,plain,
v1_relat_1(sK205),
inference(cnf_transformation,[],[f9775]) ).
tcf(c_842,plain,
v1_funct_1(sK205),
inference(cnf_transformation,[],[f9774]) ).
tcf(c_843,plain,
v1_finset_1(sK205),
inference(cnf_transformation,[],[f9773]) ).
tcf(c_844,plain,
v1_xboole_0(sK206),
inference(cnf_transformation,[],[f9781]) ).
tcf(c_845,plain,
v1_relat_1(sK206),
inference(cnf_transformation,[],[f9780]) ).
tcf(c_846,plain,
v1_funct_1(sK206),
inference(cnf_transformation,[],[f9779]) ).
tcf(c_847,plain,
v2_funct_1(sK206),
inference(cnf_transformation,[],[f9778]) ).
tcf(c_848,plain,
v1_finset_1(sK206),
inference(cnf_transformation,[],[f9777]) ).
tcf(c_849,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f9783]) ).
tcf(c_851,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK207(X0),k5_finsub_1(X0)) ),
inference(cnf_transformation,[],[f9786]) ).
tcf(c_852,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK207(X0)) ),
inference(cnf_transformation,[],[f9785]) ).
tcf(c_853,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK207(X0)) ),
inference(cnf_transformation,[],[f9784]) ).
tcf(c_854,plain,
! [X0: $i] : m1_subset_1(sK208(X0),k5_finsub_1(X0)),
inference(cnf_transformation,[],[f9789]) ).
tcf(c_855,plain,
! [X0: $i] : v1_xboole_0(sK208(X0)),
inference(cnf_transformation,[],[f9788]) ).
tcf(c_856,plain,
! [X0: $i] : v1_finset_1(sK208(X0)),
inference(cnf_transformation,[],[f9787]) ).
tcf(c_857,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,[],[f9790]) ).
tcf(c_859,plain,
! [X0: $i] :
( ( k1_zfmisc_1(X0) = k5_finsub_1(X0) )
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9792]) ).
tcf(c_860,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f9793]) ).
tcf(c_861,plain,
! [X0: $i] :
( v1_finset_1(k1_relat_1(X0))
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f9795]) ).
tcf(c_862,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_finset_1(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f9794]) ).
tcf(c_863,plain,
! [X0: $i] :
( v1_finset_1(k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_finset_1(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f9796]) ).
tcf(c_864,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f9798]) ).
tcf(c_865,plain,
! [X0: $i] :
( v1_finset_1(k1_zfmisc_1(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9797]) ).
tcf(c_866,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ( X0 = np__0 )
| ~ v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f11778]) ).
tcf(c_867,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ( X1 = np__0 )
| ~ v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f11779]) ).
tcf(c_869,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK209(X0),X0)
| ( X0 = np__0 )
| ~ v1_finset_1(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f11780]) ).
tcf(c_870,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( sK209(X0) = X2 )
| ~ v1_finset_1(X1)
| ~ r2_hidden(X2,X0)
| ~ r1_tarski(sK209(X0),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f11781]) ).
tcf(c_872,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9805]) ).
tcf(c_873,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK210(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f9808]) ).
tcf(c_874,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK210(X0)) ),
inference(cnf_transformation,[],[f9807]) ).
tcf(c_875,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK210(X0)) ),
inference(cnf_transformation,[],[f9806]) ).
tcf(c_876,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_zfmisc_1(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9809]) ).
tcf(c_878,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11784]) ).
tcf(c_881,plain,
! [X0: $i,X1: $i] : v1_finset_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f9813]) ).
tcf(c_882,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK211(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f9817]) ).
tcf(c_883,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK211(X0)) ),
inference(cnf_transformation,[],[f9816]) ).
tcf(c_884,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK211(X0)) ),
inference(cnf_transformation,[],[f9815]) ).
tcf(c_887,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f9820]) ).
tcf(c_888,plain,
~ v1_xboole_0(sK212),
inference(cnf_transformation,[],[f9822]) ).
tcf(c_889,plain,
v1_finset_1(sK212),
inference(cnf_transformation,[],[f9821]) ).
tcf(c_890,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f9823]) ).
tcf(c_891,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_lattices(X0,k6_lattices(X0)) = k5_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f9824]) ).
tcf(c_892,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,X1,X2)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k4_lattices(X0,X1,k7_lattices(X0,X2)) != k5_lattices(X0) ) ),
inference(cnf_transformation,[],[f9826]) ).
tcf(c_893,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k4_lattices(X0,X1,k7_lattices(X0,X2)) = k5_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f9825]) ).
tcf(c_894,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k3_lattices(X1,k7_lattices(X1,X0),X2) = k4_filter_0(X1,X0,X2) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9827]) ).
tcf(c_895,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,k4_lattices(X1,X0,k3_lattices(X1,k7_lattices(X1,X0),X2)),X2)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12292]) ).
tcf(c_896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,X2,k3_lattices(X0,k7_lattices(X0,X1),X3))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k4_lattices(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f12293]) ).
tcf(c_897,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,[],[f9830]) ).
tcf(c_898,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,k7_lattices(X0,X2),k7_lattices(X0,X1))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f9831]) ).
tcf(c_899,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k4_lattices(X0,X1,X2) = k5_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k7_lattices(X0,X2)) ),
inference(cnf_transformation,[],[f9833]) ).
tcf(c_900,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,X1,k7_lattices(X0,X2))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k4_lattices(X0,X1,X2) != k5_lattices(X0) ) ),
inference(cnf_transformation,[],[f9832]) ).
tcf(c_901,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,k7_lattices(X1,X0),k7_lattices(X1,X2)) = k7_lattices(X1,k3_lattices(X1,X0,X2)) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9834]) ).
tcf(c_902,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k3_lattices(X1,k7_lattices(X1,X0),k7_lattices(X1,X2)) = k7_lattices(X1,k4_lattices(X1,X0,X2)) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9835]) ).
tcf(c_903,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k7_lattices(X1,k7_lattices(X1,X0)) = X0 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9836]) ).
tcf(c_904,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k3_lattices(X1,k7_lattices(X1,X0),X0) = k6_lattices(X1) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9837]) ).
tcf(c_905,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,k7_lattices(X1,X0),X0) = k5_lattices(X1) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9838]) ).
tcf(c_906,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,sK213(X0,X1)) != sK213(X0,X1) ) ),
inference(cnf_transformation,[],[f9840]) ).
tcf(c_907,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK213(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,[],[f9839]) ).
tcf(c_908,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,sK214(X0,X1)) != sK214(X0,X1) ) ),
inference(cnf_transformation,[],[f9842]) ).
tcf(c_909,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK214(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,[],[f9841]) ).
tcf(c_910,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f9843]) ).
tcf(c_911,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,[],[f9844]) ).
tcf(c_912,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,[],[f9845]) ).
tcf(c_913,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,[],[f9846]) ).
tcf(c_914,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(sK215(X1,X0),X0)
| ( X0 = np__0 )
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f11787]) ).
tcf(c_915,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m1_subset_1(sK215(X1,X0),X1)
| ( X0 = np__0 )
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f11788]) ).
tcf(c_916,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,[],[f9849]) ).
tcf(c_917,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,[],[f9850]) ).
tcf(c_918,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f9851]) ).
tcf(c_919,plain,
k2_tarski(np__0,np__0) = k5_finsub_1(np__0),
inference(cnf_transformation,[],[f11789]) ).
tcf(c_920,plain,
! [X0: $i] : r1_tarski(k5_finsub_1(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f9853]) ).
tcf(c_921,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,[],[f11790]) ).
tcf(c_922,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),k5_finsub_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9855]) ).
tcf(c_923,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,[],[f11791]) ).
tcf(c_924,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,[],[f11792]) ).
tcf(c_925,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11793]) ).
tcf(c_927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k4_xboole_0(X1,X3)),k4_xboole_0(X2,k4_xboole_0(X2,X4))))
| ~ r2_hidden(X0,k2_zfmisc_1(X3,X4))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f11795]) ).
tcf(c_928,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,[],[f11796]) ).
tcf(c_929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : 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(cnf_transformation,[],[f11797]) ).
tcf(c_932,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,[],[f11800]) ).
tcf(c_933,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,[],[f11801]) ).
tcf(c_934,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,[],[f11802]) ).
tcf(c_935,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,[],[f11803]) ).
tcf(c_937,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X0 )
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11805]) ).
tcf(c_938,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,[],[f11806]) ).
tcf(c_939,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,[],[f11807]) ).
tcf(c_940,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(sK216(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f11808]) ).
tcf(c_941,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK216(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,[],[f11809]) ).
tcf(c_942,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK216(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,[],[f11810]) ).
tcf(c_943,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,[],[f11811]) ).
tcf(c_947,plain,
! [X0: $i] : k4_xboole_0(X0,k4_xboole_0(X0,np__0)) = np__0,
inference(cnf_transformation,[],[f11815]) ).
tcf(c_949,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,[],[f11817]) ).
tcf(c_950,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 )
| ~ r2_hidden(sK217(X0,X1,X2),X2)
| ~ r2_hidden(sK217(X0,X1,X2),X1)
| ~ r2_hidden(sK217(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f11818]) ).
tcf(c_951,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK217(X0,X1,X2),X2)
| r2_hidden(sK217(X0,X1,X2),X0)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 ) ),
inference(cnf_transformation,[],[f11819]) ).
tcf(c_952,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK217(X0,X1,X2),X2)
| r2_hidden(sK217(X0,X1,X2),X1)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 ) ),
inference(cnf_transformation,[],[f11820]) ).
tcf(c_953,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,[],[f12182]) ).
tcf(c_955,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,[],[f12184]) ).
tcf(c_956,plain,
! [X0: $i] :
( v14_lattices(X0)
| v3_struct_0(X0)
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f9889]) ).
tcf(c_957,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,[],[f9890]) ).
tcf(c_958,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,sK218(X0,X1)) != sK218(X0,X1) ) ),
inference(cnf_transformation,[],[f9892]) ).
tcf(c_959,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK218(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,[],[f9891]) ).
tcf(c_962,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,[],[f9895]) ).
tcf(c_963,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0) ),
inference(cnf_transformation,[],[f9900]) ).
tcf(c_966,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,[],[f9897]) ).
tcf(c_967,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,[],[f9896]) ).
tcf(c_968,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f9905]) ).
tcf(c_971,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,[],[f9902]) ).
tcf(c_972,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,[],[f9901]) ).
tcf(c_973,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f9908]) ).
tcf(c_974,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,[],[f9907]) ).
tcf(c_975,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,[],[f9906]) ).
tcf(c_976,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,sK219(X0,X1)) != sK219(X0,X1) ) ),
inference(cnf_transformation,[],[f9910]) ).
tcf(c_977,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK219(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,[],[f9909]) ).
tcf(c_978,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,[],[f9911]) ).
tcf(c_979,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,[],[f9912]) ).
tcf(c_980,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,[],[f12294]) ).
tcf(c_981,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f9914]) ).
tcf(c_982,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,[],[f9915]) ).
tcf(c_983,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,[],[f9916]) ).
tcf(c_984,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,[],[f9917]) ).
tcf(c_985,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v1_binop_1(X1,X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,sK220(X0,X1),sK221(X0,X1)) != k2_binop_1(X0,X0,X0,X1,sK221(X0,X1),sK220(X0,X1)) ) ),
inference(cnf_transformation,[],[f9921]) ).
tcf(c_986,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_binop_1(X0,X1)
| m1_subset_1(sK221(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9920]) ).
tcf(c_987,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_binop_1(X0,X1)
| m1_subset_1(sK220(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9919]) ).
tcf(c_988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,X2,X3) = k2_binop_1(X1,X1,X1,X0,X3,X2) )
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9918]) ).
tcf(c_989,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,[],[f11825]) ).
tcf(c_990,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,[],[f11827]) ).
tcf(c_991,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,[],[f11828]) ).
tcf(c_992,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v2_binop_1(X1,X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,sK222(X0,X1),sK223(X0,X1)),sK224(X0,X1)) != k2_binop_1(X0,X0,X0,X1,sK222(X0,X1),k2_binop_1(X0,X0,X0,X1,sK223(X0,X1),sK224(X0,X1))) ) ),
inference(cnf_transformation,[],[f9931]) ).
tcf(c_993,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v2_binop_1(X0,X1)
| m1_subset_1(sK224(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9930]) ).
tcf(c_994,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v2_binop_1(X0,X1)
| m1_subset_1(sK223(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9929]) ).
tcf(c_995,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v2_binop_1(X0,X1)
| m1_subset_1(sK222(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9928]) ).
tcf(c_996,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)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9927]) ).
tcf(c_997,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)
| ~ v2_binop_1(X4,X2)
| ~ v2_binop_1(X1,X0)
| ~ v1_binop_1(X4,X2)
| ~ v1_binop_1(X1,X0)
| ~ m1_subset_1(X7,k5_finsub_1(X6))
| ~ m2_relset_1(X5,X6,X2)
| ~ m2_relset_1(X3,X2,X0)
| ~ v1_funct_2(X5,X6,X2)
| ~ v1_funct_2(X3,X2,X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,k8_funct_2(X2,X0,X3,sK225(X2,X4,X0,X1,X3)),k8_funct_2(X2,X0,X3,sK226(X2,X4,X0,X1,X3))) != k8_funct_2(X2,X0,X3,k2_binop_1(X2,X2,X2,X4,sK225(X2,X4,X0,X1,X3),sK226(X2,X4,X0,X1,X3))) ) ),
inference(cnf_transformation,[],[f11829]) ).
tcf(c_998,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(sK226(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)
| ~ v2_binop_1(X2,X3)
| ~ v2_binop_1(X0,X1)
| ~ v1_binop_1(X2,X3)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X7,k5_finsub_1(X5))
| ~ m2_relset_1(X6,X1,X3)
| ~ m2_relset_1(X4,X5,X1)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_2(X4,X5,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11830]) ).
tcf(c_999,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(sK225(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)
| ~ v2_binop_1(X2,X3)
| ~ v2_binop_1(X0,X1)
| ~ v1_binop_1(X2,X3)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X7,k5_finsub_1(X5))
| ~ m2_relset_1(X6,X1,X3)
| ~ m2_relset_1(X4,X5,X1)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_2(X4,X5,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11831]) ).
tcf(c_1000,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)
| ~ v2_binop_1(X6,X1)
| ~ v1_binop_1(X6,X1)
| ~ m1_subset_1(X5,k5_finsub_1(X0))
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X6,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X6,k2_zfmisc_1(X1,X1),X1)
| ( k2_funct_2(X0,X1,X2,X3) != k2_funct_2(X0,X1,X4,X5) ) ),
inference(cnf_transformation,[],[f11832]) ).
tcf(c_1001,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)
| ~ v2_binop_1(X5,X1)
| ~ v1_binop_1(X5,X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ( k2_funct_2(X0,X1,X2,X3) != k2_setwiseo(X1,X4) ) ),
inference(cnf_transformation,[],[f9936]) ).
tcf(c_1002,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)
| ~ v2_binop_1(X5,X1)
| ~ v1_binop_1(X5,X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ( k8_funct_2(X0,X1,X2,sK227(X1,X0,X3,X2,X4)) != X4 ) ),
inference(cnf_transformation,[],[f11833]) ).
tcf(c_1003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| r2_hidden(sK227(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)
| ~ v2_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11834]) ).
tcf(c_1004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| m1_subset_1(sK227(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)
| ~ v2_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11835]) ).
tcf(c_1005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| ( X4 = np__0 )
| ( k2_binop_1(X1,X1,X1,X0,k7_setwiseo(X3,X1,X0,X4,X2),k7_setwiseo(X3,X1,X0,X5,X2)) = k7_setwiseo(X3,X1,X0,X5,X2) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ r1_tarski(X4,X5)
| ~ m1_subset_1(X5,k5_finsub_1(X3))
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11836]) ).
tcf(c_1006,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)
| ~ v2_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ r2_hidden(X5,X4)
| ~ m1_subset_1(X5,X3)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9941]) ).
tcf(c_1007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| ( X5 = np__0 )
| ( X4 = np__0 )
| ( k2_binop_1(X1,X1,X1,X0,k7_setwiseo(X3,X1,X0,X4,X2),k7_setwiseo(X3,X1,X0,X5,X2)) = k7_setwiseo(X3,X1,X0,k5_setwiseo(X3,X4,X5),X2) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X5,k5_finsub_1(X3))
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11837]) ).
tcf(c_1008,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)
| ~ v2_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X5,X3)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11838]) ).
tcf(c_1009,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_binop_1(X1,X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,sK228(X0,X1),sK228(X0,X1)) != sK228(X0,X1) ) ),
inference(cnf_transformation,[],[f9946]) ).
tcf(c_1010,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v3_binop_1(X0,X1)
| m1_subset_1(sK228(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9945]) ).
tcf(c_1011,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,X2,X2) = X2 )
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9944]) ).
tcf(c_1012,plain,
! [X0: $i,X1: $i] :
( v3_binop_1(X0,X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ( k1_binop_1(X0,sK229(X1,X0),sK229(X1,X0)) != sK229(X1,X0) ) ),
inference(cnf_transformation,[],[f9949]) ).
tcf(c_1013,plain,
! [X0: $i,X1: $i] :
( v3_binop_1(X0,X1)
| m1_subset_1(sK229(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9948]) ).
tcf(c_1014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_binop_1(X0,X2,X2) = X2 )
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9947]) ).
tcf(c_1015,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,[],[f9950]) ).
tcf(c_1016,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,[],[f9951]) ).
tcf(c_1017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X4)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X4),X0,X3))
| ~ v4_group_1(X4)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X4)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X4)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X3,X2,X4)
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f9955]) ).
tcf(c_1018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X4)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_2(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X4),X0,X3),u1_struct_0(X1),u1_struct_0(X4))
| ~ v4_group_1(X4)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X4)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X4)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X3,X2,X4)
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f9954]) ).
tcf(c_1019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X4)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_group_6(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X4),X0,X3),X1,X4)
| ~ v4_group_1(X4)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X4)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X4)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X3,X2,X4)
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f9953]) ).
tcf(c_1020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X4)
| v3_struct_0(X2)
| v3_struct_0(X1)
| m2_relset_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X4),X0,X3),u1_struct_0(X1),u1_struct_0(X4))
| ~ v4_group_1(X4)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X4)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X4)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X3,X2,X4)
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f9952]) ).
tcf(c_1025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| sP6(X2,X4,X1,X3,X0)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X4,X0,X3)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X4,X0,X3)
| ~ v1_funct_2(X2,X0,X1)
| ( k8_funct_2(X0,X1,X2,sK231(X0,X3,X1,X4,X2)) != k8_funct_2(X0,X1,X2,sK232(X0,X3,X1,X4,X2)) ) ),
inference(cnf_transformation,[],[f9963]) ).
tcf(c_1026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP6(X3,X0,X4,X2,X1)
| ( k8_funct_2(X1,X2,X0,sK231(X1,X2,X4,X0,X3)) = k8_funct_2(X1,X2,X0,sK232(X1,X2,X4,X0,X3)) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,X1,X4)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f9962]) ).
tcf(c_1027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP6(X3,X0,X4,X2,X1)
| m1_subset_1(sK232(X1,X2,X4,X0,X3),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,X1,X4)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f9961]) ).
tcf(c_1028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP6(X3,X0,X4,X2,X1)
| m1_subset_1(sK231(X1,X2,X4,X0,X3),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,X1,X4)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f9960]) ).
tcf(c_1029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m2_cat_1(k7_funct_2(u2_cat_1(X1),u2_cat_1(X2),u2_cat_1(X4),X0,X3),X1,X4)
| ~ l1_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X4)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X3,X2,X4)
| ~ m2_cat_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f9964]) ).
tcf(c_1030,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)
| ~ v2_binop_1(X1,X0)
| ~ v1_binop_1(X1,X0)
| ~ m1_subset_1(X6,k5_finsub_1(X5))
| ~ m2_relset_1(X4,X5,k5_finsub_1(X2))
| ~ m2_relset_1(X3,k5_finsub_1(X2),X0)
| ~ v1_funct_2(X4,X5,k5_finsub_1(X2))
| ~ v1_funct_2(X3,k5_finsub_1(X2),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,k8_funct_2(k5_finsub_1(X2),X0,X3,sK233(X0,X2,X1,X3)),k8_funct_2(k5_finsub_1(X2),X0,X3,sK234(X0,X2,X1,X3))) != k8_funct_2(k5_finsub_1(X2),X0,X3,k5_setwiseo(X2,sK233(X0,X2,X1,X3),sK234(X0,X2,X1,X3))) ) ),
inference(cnf_transformation,[],[f11839]) ).
tcf(c_1031,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(sK234(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)
| ~ v2_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X6,k5_finsub_1(X3))
| ~ m2_relset_1(X5,k5_finsub_1(X4),X1)
| ~ m2_relset_1(X2,X3,k5_finsub_1(X4))
| ~ v1_funct_2(X5,k5_finsub_1(X4),X1)
| ~ v1_funct_2(X2,X3,k5_finsub_1(X4))
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11840]) ).
tcf(c_1032,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(sK233(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)
| ~ v2_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X6,k5_finsub_1(X3))
| ~ m2_relset_1(X5,k5_finsub_1(X4),X1)
| ~ m2_relset_1(X2,X3,k5_finsub_1(X4))
| ~ v1_funct_2(X5,k5_finsub_1(X4),X1)
| ~ v1_funct_2(X2,X3,k5_finsub_1(X4))
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11841]) ).
tcf(c_1033,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,[],[f9968]) ).
tcf(c_1034,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,[],[f9971]) ).
tcf(c_1035,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,[],[f9970]) ).
tcf(c_1036,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,[],[f9969]) ).
tcf(c_1037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(k2_binop_1(X1,X2,X3,X0,X4,X5),X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X5,X2)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f9972]) ).
tcf(c_1038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ( X3 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ( k2_binop_1(X0,X1,X2,X3,sK235(X0,X1,X2,X3,X4),sK236(X0,X1,X2,X3,X4)) != k2_binop_1(X0,X1,X2,X4,sK235(X0,X1,X2,X3,X4),sK236(X0,X1,X2,X3,X4)) ) ),
inference(cnf_transformation,[],[f9975]) ).
tcf(c_1039,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(sK236(X1,X2,X3,X0,X4),X2)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f9974]) ).
tcf(c_1040,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(sK235(X1,X2,X3,X0,X4),X1)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f9973]) ).
tcf(c_1041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| ( k7_setwiseo(X1,u1_struct_0(X2),u2_lattices(X2),X3,X0) = k2_lattice2(X1,X2,X3,X0) )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f9976]) ).
tcf(c_1042,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,[],[f9977]) ).
tcf(c_1043,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)
| ~ v2_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X4,X3)
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f9978]) ).
tcf(c_1044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k3_lattices(X1,k2_lattice2(u1_struct_0(X1),X1,X2,X0),k8_funct_2(u1_struct_0(X1),u1_struct_0(X1),X0,X3)) = k2_lattice2(u1_struct_0(X1),X1,k5_setwiseo(u1_struct_0(X1),X2,k2_setwiseo(u1_struct_0(X1),X3)),X0) )
| ~ v13_lattices(X1)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,k5_finsub_1(u1_struct_0(X1)))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9979]) ).
tcf(c_1045,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,[],[f9980]) ).
tcf(c_1046,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,[],[f9981]) ).
tcf(c_1047,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,[],[f9982]) ).
tcf(c_1048,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,[],[f9983]) ).
tcf(c_1049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,k3_lattice2(u1_struct_0(X1),X1,X2,X0),k8_funct_2(u1_struct_0(X1),u1_struct_0(X1),X0,X3)) = k3_lattice2(u1_struct_0(X1),X1,k5_setwiseo(u1_struct_0(X1),X2,k2_setwiseo(u1_struct_0(X1),X3)),X0) )
| ~ v14_lattices(X1)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,k5_finsub_1(u1_struct_0(X1)))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9984]) ).
tcf(c_1050,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,[],[f11842]) ).
tcf(c_1051,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,[],[f9986]) ).
tcf(c_1052,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK237(X0,X1),X0,X1),
inference(cnf_transformation,[],[f9990]) ).
tcf(c_1053,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK237(X0,X1)),
inference(cnf_transformation,[],[f9989]) ).
tcf(c_1054,plain,
! [X0: $i,X1: $i] : v1_funct_1(sK237(X0,X1)),
inference(cnf_transformation,[],[f9988]) ).
tcf(c_1055,plain,
! [X0: $i,X1: $i] : v1_funct_2(sK237(X0,X1),X0,X1),
inference(cnf_transformation,[],[f9987]) ).
tcf(c_1056,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK238(X0,X1),X0,X1),
inference(cnf_transformation,[],[f9993]) ).
tcf(c_1057,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK238(X0,X1)),
inference(cnf_transformation,[],[f9992]) ).
tcf(c_1058,plain,
! [X0: $i,X1: $i] : v1_funct_1(sK238(X0,X1)),
inference(cnf_transformation,[],[f9991]) ).
tcf(c_1059,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f9995]) ).
tcf(c_1060,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f9994]) ).
tcf(c_1061,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK239(X0,X1),X0,X1),
inference(cnf_transformation,[],[f9996]) ).
tcf(c_1062,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f9998]) ).
tcf(c_1063,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f9997]) ).
tcf(c_1064,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)) )
| ~ v1_int_1(X4)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f9999]) ).
tcf(c_1065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,k6_group_1(X1,X4,X3)) = k6_group_1(X2,X4,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X3)) )
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f10000]) ).
tcf(c_1066,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m1_relset_1(sK240(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,[],[f10007]) ).
tcf(c_1067,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(sK240(X0,X1)) ),
inference(cnf_transformation,[],[f10006]) ).
tcf(c_1068,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_relat_1(sK240(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,[],[f10005]) ).
tcf(c_1069,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_1(sK240(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,[],[f10004]) ).
tcf(c_1070,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_2(sK240(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,[],[f10003]) ).
tcf(c_1071,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_partfun1(sK240(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,[],[f10002]) ).
tcf(c_1072,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_group_6(sK240(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,[],[f10001]) ).
tcf(c_1073,plain,
! [X0: $i] :
( r2_hidden(X0,k5_numbers)
| ~ v1_int_1(X0)
| ~ r1_xreal_0(np__0,X0) ),
inference(cnf_transformation,[],[f10008]) ).
tcf(c_1074,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f10010]) ).
tcf(c_1075,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f10009]) ).
tcf(c_1076,plain,
v1_int_1(sK241),
inference(cnf_transformation,[],[f10011]) ).
tcf(c_1077,plain,
m1_subset_1(sK242,k1_numbers),
inference(cnf_transformation,[],[f10015]) ).
tcf(c_1078,plain,
v1_xcmplx_0(sK242),
inference(cnf_transformation,[],[f10014]) ).
tcf(c_1079,plain,
v1_xreal_0(sK242),
inference(cnf_transformation,[],[f10013]) ).
tcf(c_1080,plain,
v1_int_1(sK242),
inference(cnf_transformation,[],[f10012]) ).
tcf(c_1081,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(k6_group_1(X1,X2,X0),u1_struct_0(X1))
| ~ v1_int_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10016]) ).
tcf(c_1082,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,[],[f10017]) ).
tcf(c_1083,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k1_card_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f11843]) ).
tcf(c_1085,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,[],[f10022]) ).
tcf(c_1086,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,[],[f10021]) ).
tcf(c_1087,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| m2_subset_1(sK243(X1,X0),X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10023]) ).
tcf(c_1088,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,[],[f10024]) ).
tcf(c_1089,plain,
m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)),
inference(cnf_transformation,[],[f10025]) ).
tcf(c_1090,plain,
k1_numbers != k5_numbers,
inference(cnf_transformation,[],[f10026]) ).
tcf(c_1091,plain,
r1_tarski(k5_numbers,k1_numbers),
inference(cnf_transformation,[],[f10027]) ).
tcf(c_1093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,k3_group_1(X1,X3)) = k3_group_1(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X3)) )
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f10029]) ).
tcf(c_1094,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(k3_group_1(X1,X0),u1_struct_0(X1))
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10030]) ).
tcf(c_1095,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k6_group_1(X1,X2,k3_group_1(X1,X0)) = k3_group_1(X1,k6_group_1(X1,X2,X0)) )
| ~ v1_int_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10031]) ).
tcf(c_1096,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k6_group_1(X1,X2,k3_group_1(X1,X0)) = k3_group_1(X1,k6_group_1(X1,X2,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,[],[f10032]) ).
tcf(c_1097,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k6_group_1(X0,np__2,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))
| ( k3_group_1(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f10034]) ).
tcf(c_1098,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k3_group_1(X0,X1) = X1 )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k6_group_1(X0,np__2,X1) != k2_group_1(X0) ) ),
inference(cnf_transformation,[],[f10033]) ).
tcf(c_1099,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,X1,X2) = k1_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,k3_group_1(X0,X1),X2) != k1_group_1(X0,X2,k3_group_1(X0,X1)) ) ),
inference(cnf_transformation,[],[f10036]) ).
tcf(c_1100,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,k3_group_1(X0,X2),X1) = k1_group_1(X0,X1,k3_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) != k1_group_1(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f10035]) ).
tcf(c_1101,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,X1,X2) = k1_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,k3_group_1(X0,X1),k3_group_1(X0,X2)) != k1_group_1(X0,k3_group_1(X0,X2),k3_group_1(X0,X1)) ) ),
inference(cnf_transformation,[],[f10038]) ).
tcf(c_1102,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,k3_group_1(X0,X1),k3_group_1(X0,X2)) = k1_group_1(X0,k3_group_1(X0,X2),k3_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) != k1_group_1(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f10037]) ).
tcf(c_1103,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,X1,X2) = k1_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,k3_group_1(X0,X1),k3_group_1(X0,X2)) != k3_group_1(X0,k1_group_1(X0,X1,X2)) ) ),
inference(cnf_transformation,[],[f10040]) ).
tcf(c_1104,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,k3_group_1(X0,X1),k3_group_1(X0,X2)) = k3_group_1(X0,k1_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) != k1_group_1(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f10039]) ).
tcf(c_1105,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,k3_group_1(X1,X2),k3_group_1(X1,X0)) = k3_group_1(X1,k1_group_1(X1,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,[],[f10041]) ).
tcf(c_1106,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,k1_group_1(X0,X1,k3_group_1(X0,X2)),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))
| ~ m1_subset_1(k1_group_1(X0,X1,k3_group_1(X0,X2)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f12186]) ).
tcf(c_1107,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,k1_group_1(X0,X1,X2),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))
| ~ m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f12187]) ).
tcf(c_1108,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,X1,k1_group_1(X0,k3_group_1(X0,X1),X2)) = 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))
| ~ m1_subset_1(k1_group_1(X0,k3_group_1(X0,X1),X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f12188]) ).
tcf(c_1109,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,k3_group_1(X0,X1),k1_group_1(X0,X1,X2)) = 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))
| ~ m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f12189]) ).
tcf(c_1110,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k3_group_1(X1,k3_group_1(X1,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,[],[f10046]) ).
tcf(c_1111,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(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))
| ( k3_group_1(X0,X1) != k3_group_1(X0,X2) ) ),
inference(cnf_transformation,[],[f10047]) ).
tcf(c_1112,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| m2_filter_1(X1,X0,X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X1,sK244(X0,X2,X1),sK246(X0,X2,X1)),k2_binop_1(X0,X0,X0,X1,sK245(X0,X2,X1),sK247(X0,X2,X1))),X2) ),
inference(cnf_transformation,[],[f10055]) ).
tcf(c_1113,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| r2_hidden(k1_domain_1(X1,X1,sK244(X1,X2,X0),sK245(X1,X2,X0)),X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10054]) ).
tcf(c_1114,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| r2_hidden(k1_domain_1(X1,X1,sK246(X1,X2,X0),sK247(X1,X2,X0)),X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10053]) ).
tcf(c_1115,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| m1_subset_1(sK247(X1,X2,X0),X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10052]) ).
tcf(c_1116,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| m1_subset_1(sK246(X1,X2,X0),X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10051]) ).
tcf(c_1117,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| m1_subset_1(sK245(X1,X2,X0),X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10050]) ).
tcf(c_1118,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| m1_subset_1(sK244(X1,X2,X0),X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10049]) ).
tcf(c_1119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v1_xboole_0(X0)
| r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X6,X1,X4),k2_binop_1(X0,X0,X0,X6,X2,X5)),X3)
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X6)
| ~ m1_subset_1(X5,X0)
| ~ m1_subset_1(X4,X0)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X1,X0)
| ~ m2_filter_1(X6,X0,X3)
| ~ m2_relset_1(X6,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X6,k2_zfmisc_1(X0,X0),X0)
| ~ r2_hidden(k1_domain_1(X0,X0,X4,X5),X3)
| ~ r2_hidden(k1_domain_1(X0,X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f10048]) ).
tcf(c_1120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(k1_domain_1(u2_cat_1(X3),u2_cat_1(X1),X2,X0),u2_cat_1(k11_cat_2(X3,X1)))
| ~ 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,[],[f10056]) ).
tcf(c_1121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(k1_domain_1(u1_cat_1(X3),u1_cat_1(X1),X2,X0),u1_cat_1(k11_cat_2(X3,X1)))
| ~ 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,[],[f10057]) ).
tcf(c_1122,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,[],[f10058]) ).
tcf(c_1123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k7_filter_1(X3,X1,X2,X0) = k3_funct_4(X2,X0) )
| ~ 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,[],[f10059]) ).
tcf(c_1124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_1(k7_filter_1(X3,X1,X2,X0))
| ~ 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,[],[f10062]) ).
tcf(c_1125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_2(k7_filter_1(X3,X1,X2,X0),k2_zfmisc_1(k2_zfmisc_1(X3,X1),k2_zfmisc_1(X3,X1)),k2_zfmisc_1(X3,X1))
| ~ 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,[],[f10061]) ).
tcf(c_1126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(k7_filter_1(X3,X1,X2,X0),k2_zfmisc_1(k2_zfmisc_1(X3,X1),k2_zfmisc_1(X3,X1)),k2_zfmisc_1(X3,X1))
| ~ 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,[],[f10060]) ).
tcf(c_1127,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,[],[f10063]) ).
tcf(c_1128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| r6_binop_1(X0,X2,X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ r6_binop_1(k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ),
inference(cnf_transformation,[],[f10066]) ).
tcf(c_1129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| r6_binop_1(X1,X3,X5)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ r6_binop_1(k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ),
inference(cnf_transformation,[],[f10065]) ).
tcf(c_1130,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,X2,X3),k7_filter_1(X1,X4,X0,X5))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ r6_binop_1(X4,X3,X5)
| ~ r6_binop_1(X1,X2,X0)
| ~ m2_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(X3,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10064]) ).
tcf(c_1131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| v2_binop_1(X2,X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v2_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f10069]) ).
tcf(c_1132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| v2_binop_1(X3,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v2_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f10068]) ).
tcf(c_1133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| v2_binop_1(k7_filter_1(X3,X1,X2,X0),k2_zfmisc_1(X3,X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v2_binop_1(X2,X3)
| ~ v2_binop_1(X0,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10067]) ).
tcf(c_1134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| v1_binop_1(X2,X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f10072]) ).
tcf(c_1135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| v1_binop_1(X3,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f10071]) ).
tcf(c_1136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| v1_binop_1(k7_filter_1(X3,X1,X2,X0),k2_zfmisc_1(X3,X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X3)
| ~ v1_binop_1(X0,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10070]) ).
tcf(c_1137,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,X5,X6),k1_domain_1(X1,X3,X4,X7)) = k1_domain_1(X1,X3,k2_binop_1(X1,X1,X1,X0,X5,X4),k2_binop_1(X3,X3,X3,X2,X6,X7)) )
| ~ 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)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10073]) ).
tcf(c_1138,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_rlvect_1(X0)
| ( k1_binop_1(u1_rlvect_1(X0),sK248(X0),sK249(X0)) != k1_binop_1(u1_rlvect_1(X0),sK249(X0),sK248(X0)) ) ),
inference(cnf_transformation,[],[f10077]) ).
tcf(c_1139,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK249(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10076]) ).
tcf(c_1140,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK248(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10075]) ).
tcf(c_1141,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,[],[f10074]) ).
tcf(c_1142,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),sK250(X0),sK251(X0)),sK252(X0)) != k1_binop_1(u1_rlvect_1(X0),sK250(X0),k1_binop_1(u1_rlvect_1(X0),sK251(X0),sK252(X0))) ) ),
inference(cnf_transformation,[],[f10082]) ).
tcf(c_1143,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK252(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10081]) ).
tcf(c_1144,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK251(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10080]) ).
tcf(c_1145,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK250(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10079]) ).
tcf(c_1146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_binop_1(u1_rlvect_1(X1),k1_binop_1(u1_rlvect_1(X1),X0,X2),X3) = k1_binop_1(u1_rlvect_1(X1),X0,k1_binop_1(u1_rlvect_1(X1),X2,X3)) )
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10078]) ).
tcf(c_1147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| ( k2_binop_1(X1,X2,X3,X0,X4,X5) = k1_binop_1(X0,X4,X5) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X5,X2)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f10083]) ).
tcf(c_1148,plain,
! [X0: $i,X1: $i,X2: $i] :
( r6_binop_1(X2,X1,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ( k1_binop_1(X0,k1_binop_1(X1,sK253(X2,X1,X0),sK255(X2,X1,X0)),k1_binop_1(X1,sK254(X2,X1,X0),sK255(X2,X1,X0))) != k1_binop_1(X1,k1_binop_1(X0,sK253(X2,X1,X0),sK254(X2,X1,X0)),sK255(X2,X1,X0)) )
| ( k1_binop_1(X0,k1_binop_1(X1,sK253(X2,X1,X0),sK254(X2,X1,X0)),k1_binop_1(X1,sK253(X2,X1,X0),sK255(X2,X1,X0))) != k1_binop_1(X1,sK253(X2,X1,X0),k1_binop_1(X0,sK254(X2,X1,X0),sK255(X2,X1,X0))) ) ),
inference(cnf_transformation,[],[f10089]) ).
tcf(c_1149,plain,
! [X0: $i,X1: $i,X2: $i] :
( r6_binop_1(X1,X0,X2)
| m1_subset_1(sK255(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10088]) ).
tcf(c_1150,plain,
! [X0: $i,X1: $i,X2: $i] :
( r6_binop_1(X1,X0,X2)
| m1_subset_1(sK254(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10087]) ).
tcf(c_1151,plain,
! [X0: $i,X1: $i,X2: $i] :
( r6_binop_1(X1,X0,X2)
| m1_subset_1(sK253(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10086]) ).
tcf(c_1152,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,X3,X5)) = k1_binop_1(X0,X3,k1_binop_1(X2,X4,X5)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,X1)
| ~ r6_binop_1(X1,X0,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10085]) ).
tcf(c_1153,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,X4,X5)) = k1_binop_1(X0,k1_binop_1(X2,X3,X4),X5) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,X1)
| ~ r6_binop_1(X1,X0,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10084]) ).
tcf(c_1154,plain,
! [X0: $i,X1: $i] :
( v2_binop_1(X0,X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ( k1_binop_1(X0,k1_binop_1(X0,sK256(X1,X0),sK257(X1,X0)),sK258(X1,X0)) != k1_binop_1(X0,sK256(X1,X0),k1_binop_1(X0,sK257(X1,X0),sK258(X1,X0))) ) ),
inference(cnf_transformation,[],[f10094]) ).
tcf(c_1155,plain,
! [X0: $i,X1: $i] :
( v2_binop_1(X0,X1)
| m1_subset_1(sK258(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10093]) ).
tcf(c_1156,plain,
! [X0: $i,X1: $i] :
( v2_binop_1(X0,X1)
| m1_subset_1(sK257(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10092]) ).
tcf(c_1157,plain,
! [X0: $i,X1: $i] :
( v2_binop_1(X0,X1)
| m1_subset_1(sK256(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10091]) ).
tcf(c_1158,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)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10090]) ).
tcf(c_1159,plain,
! [X0: $i,X1: $i] :
( v1_binop_1(X0,X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ( k1_binop_1(X0,sK259(X1,X0),sK260(X1,X0)) != k1_binop_1(X0,sK260(X1,X0),sK259(X1,X0)) ) ),
inference(cnf_transformation,[],[f10098]) ).
tcf(c_1160,plain,
! [X0: $i,X1: $i] :
( v1_binop_1(X0,X1)
| m1_subset_1(sK260(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10097]) ).
tcf(c_1161,plain,
! [X0: $i,X1: $i] :
( v1_binop_1(X0,X1)
| m1_subset_1(sK259(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10096]) ).
tcf(c_1162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_binop_1(X0,X2,X3) = k1_binop_1(X0,X3,X2) )
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10095]) ).
tcf(c_1163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X0,k2_tarski(k2_tarski(X1,X2),k2_tarski(X1,X1))) = k1_binop_1(X0,X1,X2) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11845]) ).
tcf(c_1164,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,[],[f10101]) ).
tcf(c_1165,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,[],[f10100]) ).
tcf(c_1166,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,[],[f10102]) ).
tcf(c_1167,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,[],[f11846]) ).
tcf(c_1168,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,[],[f11847]) ).
tcf(c_1169,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,[],[f10105]) ).
tcf(c_1170,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,[],[f10106]) ).
tcf(c_1171,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,[],[f10107]) ).
tcf(c_1172,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,[],[f12190]) ).
tcf(c_1173,plain,
! [X0: $i] :
( v1_int_1(k2_xcmplx_0(X0,np__1))
| ~ v1_xreal_0(X0)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f10110]) ).
tcf(c_1174,plain,
! [X0: $i] :
( v1_int_1(k6_xcmplx_0(X0,np__1))
| ~ v1_xreal_0(X0)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f10109]) ).
tcf(c_1175,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,[],[f10113]) ).
tcf(c_1176,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,[],[f10112]) ).
tcf(c_1177,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,[],[f10111]) ).
tcf(c_1178,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k2_xcmplx_0(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f10116]) ).
tcf(c_1179,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(k2_xcmplx_0(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f10115]) ).
tcf(c_1180,plain,
! [X0: $i,X1: $i] :
( v1_int_1(k2_xcmplx_0(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f10114]) ).
tcf(c_1181,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,[],[f10121]) ).
tcf(c_1184,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,[],[f10118]) ).
tcf(c_1185,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,[],[f10117]) ).
tcf(c_1186,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,[],[f10126]) ).
tcf(c_1189,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,[],[f10123]) ).
tcf(c_1190,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,[],[f10122]) ).
tcf(c_1191,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,[],[f10131]) ).
tcf(c_1194,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,[],[f10128]) ).
tcf(c_1195,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,[],[f10127]) ).
tcf(c_1196,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,[],[f10136]) ).
tcf(c_1199,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,[],[f10133]) ).
tcf(c_1200,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,[],[f10132]) ).
tcf(c_1203,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,[],[f10137]) ).
tcf(c_1206,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,[],[f10140]) ).
tcf(c_1207,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k2_xcmplx_0(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f10144]) ).
tcf(c_1208,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(k2_xcmplx_0(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f10143]) ).
tcf(c_1209,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f10147]) ).
tcf(c_1211,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(k5_relat_1(X0,X1))
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f10145]) ).
tcf(c_1212,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(X1,k7_relat_1(X0,k2_relat_1(X1))) = k5_relat_1(X1,X0) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10148]) ).
tcf(c_1213,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,k2_relat_1(k5_relat_1(X2,X0)))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,k2_relat_1(X0))
| ~ r1_tarski(k10_relat_1(X0,X1),k2_relat_1(X2)) ),
inference(cnf_transformation,[],[f10149]) ).
tcf(c_1214,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k10_relat_1(X2,X0),k2_relat_1(X1))
| ~ v2_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r1_tarski(X0,k2_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f10150]) ).
tcf(c_1215,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,k1_relat_1(k5_relat_1(X0,X2)))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,k1_relat_1(X0))
| ~ r1_tarski(k9_relat_1(X0,X1),k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f10151]) ).
tcf(c_1216,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(X1,X0),k1_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r1_tarski(X0,k1_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f10152]) ).
tcf(c_1217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_funct_1(k5_relat_1(X0,X3),X2) = k1_funct_1(X3,k1_funct_1(X0,X2)) )
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X2,X1)
| ~ m2_relset_1(X0,X1,X1)
| ~ v1_funct_2(X0,X1,X1) ),
inference(cnf_transformation,[],[f10153]) ).
tcf(c_1218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = np__0 )
| ( k1_funct_1(k5_relat_1(X0,X4),X3) = k1_funct_1(X4,k1_funct_1(X0,X3)) )
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f11848]) ).
tcf(c_1219,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,[],[f10155]) ).
tcf(c_1220,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( 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,[],[f12191]) ).
tcf(c_1221,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(X1),k2_relat_1(X0))
| ~ v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k2_relat_1(k5_relat_1(X0,X1)) != k2_relat_1(X1) ) ),
inference(cnf_transformation,[],[f10157]) ).
tcf(c_1222,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ sP8(X0)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f10159]) ).
tcf(c_1223,plain,
! [X0: $i] :
( sP7(X0)
| ~ sP8(X0)
| ~ v2_funct_1(X0) ),
inference(cnf_transformation,[],[f10158]) ).
tcf(c_1234,plain,
! [X0: $i] :
( sP8(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10170]) ).
tcf(c_1235,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v2_funct_1(k5_relat_1(X1,X0))
| ( k1_relat_1(X0) != k2_relat_1(X1) ) ),
inference(cnf_transformation,[],[f10172]) ).
tcf(c_1236,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v2_funct_1(k5_relat_1(X1,X0))
| ( k1_relat_1(X0) != k2_relat_1(X1) ) ),
inference(cnf_transformation,[],[f10171]) ).
tcf(c_1237,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v2_funct_1(k5_relat_1(X0,X1))
| ~ r1_tarski(k2_relat_1(X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f10173]) ).
tcf(c_1238,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(k5_relat_1(X0,X1))
| ~ v2_funct_1(X1)
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10174]) ).
tcf(c_1239,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(X1) = X0 )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| ( sK263(X0,X1) != sK264(X0,X1) ) ),
inference(cnf_transformation,[],[f10182]) ).
tcf(c_1240,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(X0) = X1 )
| ( k1_relat_1(sK263(X1,X0)) = X1 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f10181]) ).
tcf(c_1241,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(X0) = X1 )
| ( k1_relat_1(sK264(X1,X0)) = X1 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f10180]) ).
tcf(c_1242,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(X0) = X1 )
| ( k5_relat_1(X0,sK263(X1,X0)) = k5_relat_1(X0,sK264(X1,X0)) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f10179]) ).
tcf(c_1243,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK264(X1,X0))
| ( k2_relat_1(X0) = X1 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f10178]) ).
tcf(c_1244,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK264(X1,X0))
| ( k2_relat_1(X0) = X1 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f10177]) ).
tcf(c_1245,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK263(X1,X0))
| ( k2_relat_1(X0) = X1 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f10176]) ).
tcf(c_1246,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK263(X1,X0))
| ( k2_relat_1(X0) = X1 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f10175]) ).
tcf(c_1247,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(X0),k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_relat_1(k5_relat_1(X0,X1)) != k1_relat_1(X0) ) ),
inference(cnf_transformation,[],[f10183]) ).
tcf(c_1248,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k2_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f10184]) ).
tcf(c_1249,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k5_relat_1(X1,X2),X0) = k1_funct_1(X2,k1_funct_1(X1,X0)) )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f10185]) ).
tcf(c_1250,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k5_relat_1(X1,X2),X0) = k1_funct_1(X2,k1_funct_1(X1,X0)) )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f10186]) ).
tcf(c_1251,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,k1_relat_1(k5_relat_1(X0,X2)))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,X1),k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f10189]) ).
tcf(c_1252,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f10188]) ).
tcf(c_1253,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X1,X0),k1_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f10187]) ).
tcf(c_1254,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_relat_1(X1,X0) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r2_hidden(sK265(X1,X0,X2),k1_relat_1(X2))
| ~ r2_hidden(sK265(X1,X0,X2),k1_relat_1(X1))
| ~ r2_hidden(k1_funct_1(X1,sK265(X1,X0,X2)),k1_relat_1(X0))
| ( k1_funct_1(X0,k1_funct_1(X1,sK266(X1,X0,X2))) != k1_funct_1(X2,sK266(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f10195]) ).
tcf(c_1255,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK266(X0,X1,X2),k1_relat_1(X2))
| ( k5_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r2_hidden(sK265(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(sK265(X0,X1,X2),k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,sK265(X0,X1,X2)),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f10194]) ).
tcf(c_1256,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK265(X1,X0,X2),k1_relat_1(X2))
| r2_hidden(sK265(X1,X0,X2),k1_relat_1(X1))
| ( k5_relat_1(X1,X0) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_funct_1(X0,k1_funct_1(X1,sK266(X1,X0,X2))) != k1_funct_1(X2,sK266(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f10193]) ).
tcf(c_1257,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK266(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK265(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK265(X0,X1,X2),k1_relat_1(X0))
| ( k5_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10192]) ).
tcf(c_1258,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK265(X1,X0,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X1,sK265(X1,X0,X2)),k1_relat_1(X0))
| ( k5_relat_1(X1,X0) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_funct_1(X0,k1_funct_1(X1,sK266(X1,X0,X2))) != k1_funct_1(X2,sK266(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f10191]) ).
tcf(c_1259,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK266(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK265(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X0,sK265(X0,X1,X2)),k1_relat_1(X1))
| ( k5_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10190]) ).
tcf(c_1261,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10196]) ).
tcf(c_1262,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f10198]) ).
tcf(c_1263,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,[],[f10199]) ).
tcf(c_1264,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,[],[f10200]) ).
tcf(c_1265,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,[],[f10201]) ).
tcf(c_1266,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,[],[f10202]) ).
tcf(c_1267,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,[],[f10203]) ).
tcf(c_1268,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,[],[f10204]) ).
tcf(c_1269,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,[],[f10205]) ).
tcf(c_1270,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,[],[f11849]) ).
tcf(c_1271,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,X0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11850]) ).
tcf(c_1272,plain,
! [X0: $i] :
( ( k5_relat_1(X0,np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11851]) ).
tcf(c_1273,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,[],[f10209]) ).
tcf(c_1274,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,[],[f10210]) ).
tcf(c_1275,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,[],[f10211]) ).
tcf(c_1276,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,[],[f10212]) ).
tcf(c_1277,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,[],[f10213]) ).
tcf(c_1278,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,[],[f10214]) ).
tcf(c_1279,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,[],[f10215]) ).
tcf(c_1280,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,[],[f10216]) ).
tcf(c_1281,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,[],[f10217]) ).
tcf(c_1282,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,sK268(X0,X1,X2)),k2_tarski(X3,X3)),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK267(X0,X1,X2),X3),k2_tarski(sK267(X0,X1,X2),sK267(X0,X1,X2))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK267(X0,X1,X2),sK268(X0,X1,X2)),k2_tarski(sK267(X0,X1,X2),sK267(X0,X1,X2))),X2) ),
inference(cnf_transformation,[],[f11852]) ).
tcf(c_1283,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK267(X0,X1,X2),sK269(X0,X1,X2)),k2_tarski(sK267(X0,X1,X2),sK267(X0,X1,X2))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK267(X0,X1,X2),sK268(X0,X1,X2)),k2_tarski(sK267(X0,X1,X2),sK267(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,[],[f11853]) ).
tcf(c_1284,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK269(X0,X1,X2),sK268(X0,X1,X2)),k2_tarski(sK269(X0,X1,X2),sK269(X0,X1,X2))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK267(X0,X1,X2),sK268(X0,X1,X2)),k2_tarski(sK267(X0,X1,X2),sK267(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,[],[f11854]) ).
tcf(c_1285,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,[],[f12192]) ).
tcf(c_1286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK270(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,[],[f12193]) ).
tcf(c_1287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK270(X2,X3,X0,X1),X1),k2_tarski(sK270(X2,X3,X0,X1),sK270(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,[],[f12194]) ).
tcf(c_1288,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k5_relat_1(X0,X1))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f10225]) ).
tcf(c_1289,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f10224]) ).
tcf(c_1290,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k5_relat_1(X1,X0))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f10227]) ).
tcf(c_1291,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(X1,X0))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f10226]) ).
tcf(c_1292,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,[],[f10229]) ).
tcf(c_1293,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,[],[f10228]) ).
tcf(c_1294,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,[],[f10231]) ).
tcf(c_1295,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,[],[f10230]) ).
tcf(c_1296,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ( k1_card_1(X0) != k1_card_1(X1) ) ),
inference(cnf_transformation,[],[f10232]) ).
tcf(c_1297,plain,
! [X0: $i] :
( ( k1_card_1(X0) = X0 )
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f10233]) ).
tcf(c_1298,plain,
! [X0: $i,X1: $i] : k1_card_1(k2_tarski(X0,X0)) = k1_card_1(k2_tarski(X1,X1)),
inference(cnf_transformation,[],[f12195]) ).
tcf(c_1299,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(sK271(X1),sK271(X1)) = X1 )
| ( k1_card_1(k2_tarski(X0,X0)) != k1_card_1(X1) ) ),
inference(cnf_transformation,[],[f11859]) ).
tcf(c_1300,plain,
k1_card_1(np__0) = np__0,
inference(cnf_transformation,[],[f11860]) ).
tcf(c_1301,plain,
! [X0: $i] : r2_hidden(k1_card_1(X0),k1_card_1(k1_zfmisc_1(X0))),
inference(cnf_transformation,[],[f10237]) ).
tcf(c_1302,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_card_1(X0),k1_card_1(k1_relat_1(X1)))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f12196]) ).
tcf(c_1303,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK272(X0,X1))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f10241]) ).
tcf(c_1304,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK272(X0,X1))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f10240]) ).
tcf(c_1305,plain,
! [X0: $i,X1: $i] :
( ( k1_relat_1(sK272(X0,X1)) = X1 )
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f10239]) ).
tcf(c_1306,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_relat_1(sK272(X0,X1)))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f10238]) ).
tcf(c_1307,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_card_1(X0),k1_card_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10243]) ).
tcf(c_1308,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_card_1(k1_relat_1(X0)),k1_card_1(X1))
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f12197]) ).
tcf(c_1309,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK273(X0,X1))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f10248]) ).
tcf(c_1310,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK273(X0,X1))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f10247]) ).
tcf(c_1311,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(sK273(X0,X1))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f10246]) ).
tcf(c_1312,plain,
! [X0: $i,X1: $i] :
( ( k1_relat_1(sK273(X0,X1)) = X0 )
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f10245]) ).
tcf(c_1313,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(sK273(X0,X1)),X1)
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f10244]) ).
tcf(c_1314,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ( sK274(X0,X1,X2) != sK275(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f10254]) ).
tcf(c_1315,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,sK274(X1,X2,X0)) = k8_funct_2(X1,X2,X0,sK275(X1,X2,X0)) )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f10253]) ).
tcf(c_1316,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(sK275(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f10252]) ).
tcf(c_1317,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(sK274(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f10251]) ).
tcf(c_1318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ( X3 = X4 )
| ~ v2_funct_1(X2)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X4,X0)
| ~ m1_subset_1(X3,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ( k8_funct_2(X0,X1,X2,X3) != k8_funct_2(X0,X1,X2,X4) ) ),
inference(cnf_transformation,[],[f10250]) ).
tcf(c_1319,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(X0) = k3_finseq_1(X1) )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v2_funct_1(X1)
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k2_relat_1(X0) != k2_relat_1(X1) ) ),
inference(cnf_transformation,[],[f10255]) ).
tcf(c_1320,plain,
v1_xboole_0(sK276),
inference(cnf_transformation,[],[f10261]) ).
tcf(c_1321,plain,
v1_relat_1(sK276),
inference(cnf_transformation,[],[f10260]) ).
tcf(c_1322,plain,
v1_funct_1(sK276),
inference(cnf_transformation,[],[f10259]) ).
tcf(c_1323,plain,
v2_funct_1(sK276),
inference(cnf_transformation,[],[f10258]) ).
tcf(c_1324,plain,
v1_finset_1(sK276),
inference(cnf_transformation,[],[f10257]) ).
tcf(c_1325,plain,
v1_finseq_1(sK276),
inference(cnf_transformation,[],[f10256]) ).
tcf(c_1327,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ( sK277(X0,X1) != sK278(X0,X1) ) ),
inference(cnf_transformation,[],[f10267]) ).
tcf(c_1328,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| r2_hidden(sK277(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X1)
| ~ v1_funct_2(X0,X1,X1) ),
inference(cnf_transformation,[],[f10266]) ).
tcf(c_1329,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| r2_hidden(sK278(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X1)
| ~ v1_funct_2(X0,X1,X1) ),
inference(cnf_transformation,[],[f10265]) ).
tcf(c_1330,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ( k1_funct_1(X0,sK277(X1,X0)) = k1_funct_1(X0,sK278(X1,X0)) )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X1)
| ~ v1_funct_2(X0,X1,X1) ),
inference(cnf_transformation,[],[f10264]) ).
tcf(c_1331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X3)
| ~ m2_relset_1(X0,X3,X3)
| ~ v1_funct_2(X0,X3,X3)
| ( k1_funct_1(X0,X1) != k1_funct_1(X0,X2) ) ),
inference(cnf_transformation,[],[f10263]) ).
tcf(c_1337,plain,
! [X0: $i,X1: $i] :
( sP9(np__0,X0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X1)
| ~ v1_funct_2(X0,np__0,X1) ),
inference(cnf_transformation,[],[f12198]) ).
tcf(c_1338,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP9(X1,X0)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f11862]) ).
tcf(c_1339,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,[],[f11863]) ).
tcf(c_1340,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,np__0) ),
inference(cnf_transformation,[],[f11864]) ).
tcf(c_1341,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f11865]) ).
tcf(c_1342,plain,
v1_relat_1(sK281),
inference(cnf_transformation,[],[f10281]) ).
tcf(c_1343,plain,
v1_funct_1(sK281),
inference(cnf_transformation,[],[f10280]) ).
tcf(c_1344,plain,
v2_funct_1(sK281),
inference(cnf_transformation,[],[f10279]) ).
tcf(c_1345,plain,
v1_xboole_0(sK281),
inference(cnf_transformation,[],[f10278]) ).
tcf(c_1346,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k2_tarski(sK282(X0),sK282(X0))),k2_tarski(X1,X1)) ),
inference(cnf_transformation,[],[f11866]) ).
tcf(c_1347,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(X0,k2_tarski(X1,X1)),k2_tarski(sK283(X0,X1),sK283(X0,X1)))
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11867]) ).
tcf(c_1348,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,k1_relat_1(X0))
| ~ r1_tarski(k9_relat_1(X0,X1),k9_relat_1(X0,X2)) ),
inference(cnf_transformation,[],[f10284]) ).
tcf(c_1349,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k9_relat_1(X0,sK284(X0))),sK284(X0)) ),
inference(cnf_transformation,[],[f10285]) ).
tcf(c_1350,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(X0,k9_relat_1(X0,X1)),X1)
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10286]) ).
tcf(c_1351,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(sK285(X1,X0),sK285(X1,X0)) = k10_relat_1(X1,k2_tarski(X0,X0)) )
| ~ v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f11868]) ).
tcf(c_1352,plain,
! [X0: $i] :
( v2_funct_1(X0)
| r2_hidden(sK286(X0),k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10288]) ).
tcf(c_1353,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k10_relat_1(X0,k2_tarski(sK286(X0),sK286(X0))) != k2_tarski(X1,X1) ) ),
inference(cnf_transformation,[],[f11869]) ).
tcf(c_1354,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ v2_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f10290]) ).
tcf(c_1355,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k4_xboole_0(k9_relat_1(X0,sK287(X0)),k9_relat_1(X0,sK288(X0))) != k9_relat_1(X0,k4_xboole_0(sK287(X0),sK288(X0))) ) ),
inference(cnf_transformation,[],[f10291]) ).
tcf(c_1356,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k9_relat_1(X0,X1),k9_relat_1(X0,X2)) = k9_relat_1(X0,k4_xboole_0(X1,X2)) )
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10292]) ).
tcf(c_1357,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k4_xboole_0(k9_relat_1(X0,sK289(X0)),k4_xboole_0(k9_relat_1(X0,sK289(X0)),k9_relat_1(X0,sK290(X0)))) != k9_relat_1(X0,k4_xboole_0(sK289(X0),k4_xboole_0(sK289(X0),sK290(X0)))) ) ),
inference(cnf_transformation,[],[f11870]) ).
tcf(c_1358,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k9_relat_1(X0,X1),k4_xboole_0(k9_relat_1(X0,X1),k9_relat_1(X0,X2))) = k9_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) )
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11871]) ).
tcf(c_1359,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(k7_relat_1(X0,X1))
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10295]) ).
tcf(c_1360,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( sK291(X0) != sK292(X0) ) ),
inference(cnf_transformation,[],[f10300]) ).
tcf(c_1361,plain,
! [X0: $i] :
( v2_funct_1(X0)
| r2_hidden(sK291(X0),k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10299]) ).
tcf(c_1362,plain,
! [X0: $i] :
( v2_funct_1(X0)
| r2_hidden(sK292(X0),k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10298]) ).
tcf(c_1363,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ( k1_funct_1(X0,sK291(X0)) = k1_funct_1(X0,sK292(X0)) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10297]) ).
tcf(c_1364,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X2,k1_relat_1(X0))
| ~ r2_hidden(X1,k1_relat_1(X0))
| ( k1_funct_1(X0,X1) != k1_funct_1(X0,X2) ) ),
inference(cnf_transformation,[],[f10296]) ).
tcf(c_1365,plain,
v1_relat_1(sK293),
inference(cnf_transformation,[],[f10303]) ).
tcf(c_1366,plain,
v1_funct_1(sK293),
inference(cnf_transformation,[],[f10302]) ).
tcf(c_1367,plain,
v2_funct_1(sK293),
inference(cnf_transformation,[],[f10301]) ).
tcf(c_1368,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10304]) ).
tcf(c_1371,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X1))
| ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0) ),
inference(cnf_transformation,[],[f10309]) ).
tcf(c_1372,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k1_funct_1(X1,X0),k1_funct_1(X1,X2)) = k9_relat_1(X1,k2_tarski(X0,X2)) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X2,k1_relat_1(X1))
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f10310]) ).
tcf(c_1373,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,[],[f12199]) ).
tcf(c_1374,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,[],[f12200]) ).
tcf(c_1375,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,[],[f11875]) ).
tcf(c_1376,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,[],[f11876]) ).
tcf(c_1377,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f10315]) ).
tcf(c_1381,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X1)) = np__0,
inference(cnf_transformation,[],[f12202]) ).
tcf(c_1382,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X0)) = np__0,
inference(cnf_transformation,[],[f12203]) ).
tcf(c_1384,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,[],[f11883]) ).
tcf(c_1385,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,[],[f11884]) ).
tcf(c_1386,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,[],[f11885]) ).
tcf(c_1387,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ( k4_xboole_0(k2_tarski(X0,X1),X2) != np__0 ) ),
inference(cnf_transformation,[],[f11886]) ).
tcf(c_1388,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| ( k4_xboole_0(k2_tarski(X0,X1),X2) != np__0 ) ),
inference(cnf_transformation,[],[f11887]) ).
tcf(c_1389,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,[],[f10329]) ).
tcf(c_1390,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,[],[f10328]) ).
tcf(c_1391,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,[],[f10327]) ).
tcf(c_1392,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,[],[f11888]) ).
tcf(c_1393,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ( k4_xboole_0(k2_tarski(X0,X0),X1) = k2_tarski(X0,X0) ) ),
inference(cnf_transformation,[],[f12205]) ).
tcf(c_1394,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,[],[f11890]) ).
tcf(c_1395,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,[],[f11891]) ).
tcf(c_1396,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,[],[f11892]) ).
tcf(c_1397,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,[],[f11893]) ).
tcf(c_1398,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,[],[f12206]) ).
tcf(c_1399,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,[],[f11895]) ).
tcf(c_1400,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,[],[f10338]) ).
tcf(c_1401,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X2)
| ~ r1_xboole_0(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f10339]) ).
tcf(c_1402,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,[],[f11896]) ).
tcf(c_1403,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k2_tarski(X0,X1),X2) != np__0,
inference(cnf_transformation,[],[f11897]) ).
tcf(c_1404,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,[],[f10342]) ).
tcf(c_1405,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,[],[f10343]) ).
tcf(c_1408,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_tarski(X0,X0),k2_tarski(X1,X0)),
inference(cnf_transformation,[],[f12209]) ).
tcf(c_1410,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,[],[f11901]) ).
tcf(c_1411,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,[],[f10351]) ).
tcf(c_1412,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ r1_tarski(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f10350]) ).
tcf(c_1413,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| ~ r1_tarski(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f10349]) ).
tcf(c_1414,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,[],[f11902]) ).
tcf(c_1415,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,[],[f11903]) ).
tcf(c_1416,plain,
! [X0: $i] : k2_tarski(np__0,k2_tarski(X0,X0)) = k1_zfmisc_1(k2_tarski(X0,X0)),
inference(cnf_transformation,[],[f11904]) ).
tcf(c_1417,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,[],[f10355]) ).
tcf(c_1418,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,[],[f11905]) ).
tcf(c_1419,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ r1_tarski(k2_tarski(X0,X1),k2_tarski(X2,X2)) ),
inference(cnf_transformation,[],[f11906]) ).
tcf(c_1421,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,[],[f11908]) ).
tcf(c_1422,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X1)) = np__0,
inference(cnf_transformation,[],[f11909]) ).
tcf(c_1424,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X1)) = k2_tarski(X0,X1),
inference(cnf_transformation,[],[f11911]) ).
tcf(c_1425,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_tarski(X0,X0),k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f11912]) ).
tcf(c_1426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( X0 = X2 )
| ( k2_tarski(X0,X1) != k2_tarski(X2,X3) ) ),
inference(cnf_transformation,[],[f10364]) ).
tcf(c_1427,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k2_tarski(X0,X0) != k2_tarski(X1,X2) ) ),
inference(cnf_transformation,[],[f11913]) ).
tcf(c_1428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k2_tarski(X0,X0) != k2_tarski(X1,X2) ) ),
inference(cnf_transformation,[],[f11914]) ).
tcf(c_1429,plain,
! [X0: $i,X1: $i] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f10369]) ).
tcf(c_1430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(X0,X1) = X2 )
| ~ r2_hidden(sK294(X0,X1,X2),X2)
| ( sK294(X0,X1,X2) != X0 ) ),
inference(cnf_transformation,[],[f10376]) ).
tcf(c_1431,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(X0,X1) = X2 )
| ~ r2_hidden(sK294(X0,X1,X2),X2)
| ( sK294(X0,X1,X2) != X1 ) ),
inference(cnf_transformation,[],[f10375]) ).
tcf(c_1432,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK294(X0,X1,X2),X2)
| ( k2_tarski(X0,X1) = X2 )
| ( sK294(X0,X1,X2) = X1 )
| ( sK294(X0,X1,X2) = X0 ) ),
inference(cnf_transformation,[],[f10374]) ).
tcf(c_1433,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f12212]) ).
tcf(c_1434,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k2_tarski(X1,X0)),
inference(cnf_transformation,[],[f12214]) ).
tcf(c_1435,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ r2_hidden(X0,k2_tarski(X1,X2)) ),
inference(cnf_transformation,[],[f12215]) ).
tcf(c_1442,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ sP10(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_lattices(X0,sK297(X0,X1),sK298(X0,X1)),X1) ),
inference(cnf_transformation,[],[f10389]) ).
tcf(c_1443,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| r2_hidden(sK297(X1,X0),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ sP10(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10388]) ).
tcf(c_1444,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| r2_hidden(sK298(X1,X0),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ sP10(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10387]) ).
tcf(c_1445,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| m1_subset_1(sK298(X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ sP10(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10386]) ).
tcf(c_1446,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| m1_subset_1(sK297(X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ sP10(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10385]) ).
tcf(c_1447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| r2_hidden(k4_lattices(X1,X2,X3),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10384]) ).
tcf(c_1448,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| sP10(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,[],[f10383]) ).
tcf(c_1449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,X1,k4_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,X3)
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f10390]) ).
tcf(c_1450,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,[],[f10391]) ).
tcf(c_1451,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,[],[f10393]) ).
tcf(c_1452,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,[],[f10392]) ).
tcf(c_1453,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,[],[f10395]) ).
tcf(c_1454,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,[],[f10394]) ).
tcf(c_1455,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,[],[f10397]) ).
tcf(c_1456,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,[],[f10396]) ).
tcf(c_1457,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,[],[f10399]) ).
tcf(c_1458,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,[],[f10398]) ).
tcf(c_1459,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,[],[f10403]) ).
tcf(c_1460,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,[],[f10402]) ).
tcf(c_1461,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,[],[f10401]) ).
tcf(c_1462,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,[],[f10400]) ).
tcf(c_1463,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(sK300(X0,X1),X1)
| ~ r2_hidden(sK299(X0,X1),X1)
| ~ r2_hidden(k4_lattices(X0,sK299(X0,X1),sK300(X0,X1)),X1) ),
inference(cnf_transformation,[],[f10411]) ).
tcf(c_1464,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| r2_hidden(sK299(X1,X0),X0)
| r2_hidden(k4_lattices(X1,sK299(X1,X0),sK300(X1,X0)),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10410]) ).
tcf(c_1465,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| r2_hidden(sK300(X1,X0),X0)
| r2_hidden(k4_lattices(X1,sK299(X1,X0),sK300(X1,X0)),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10409]) ).
tcf(c_1466,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| m1_subset_1(sK300(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,[],[f10408]) ).
tcf(c_1467,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| m1_subset_1(sK299(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,[],[f10407]) ).
tcf(c_1468,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,[],[f10406]) ).
tcf(c_1469,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,[],[f10405]) ).
tcf(c_1470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| r2_hidden(k4_lattices(X1,X2,X3),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10404]) ).
tcf(c_1471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X1,X2)) = k4_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))
| ( k4_lattices(X0,k3_lattices(X0,sK301(X0),sK302(X0)),k3_lattices(X0,sK301(X0),sK303(X0))) != k3_lattices(X0,sK301(X0),k4_lattices(X0,sK302(X0),sK303(X0))) ) ),
inference(cnf_transformation,[],[f10419]) ).
tcf(c_1472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK303(X1),u1_struct_0(X1))
| ( k3_lattices(X1,k4_lattices(X1,X0,X3),k4_lattices(X1,X0,X2)) = k4_lattices(X1,X0,k3_lattices(X1,X3,X2)) )
| ~ 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,[],[f10418]) ).
tcf(c_1473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK302(X1),u1_struct_0(X1))
| ( k3_lattices(X1,k4_lattices(X1,X0,X3),k4_lattices(X1,X0,X2)) = k4_lattices(X1,X0,k3_lattices(X1,X3,X2)) )
| ~ 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,[],[f10417]) ).
tcf(c_1474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK301(X1),u1_struct_0(X1))
| ( k3_lattices(X1,k4_lattices(X1,X0,X3),k4_lattices(X1,X0,X2)) = k4_lattices(X1,X0,k3_lattices(X1,X3,X2)) )
| ~ 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,[],[f10416]) ).
tcf(c_1475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k4_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X1,X2)) = k3_lattices(X0,X1,k4_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))
| ( k3_lattices(X0,k4_lattices(X0,sK304(X0),sK305(X0)),k4_lattices(X0,sK304(X0),sK306(X0))) != k4_lattices(X0,sK304(X0),k3_lattices(X0,sK305(X0),sK306(X0))) ) ),
inference(cnf_transformation,[],[f10415]) ).
tcf(c_1476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK306(X1),u1_struct_0(X1))
| ( k4_lattices(X1,k3_lattices(X1,X0,X3),k3_lattices(X1,X0,X2)) = k3_lattices(X1,X0,k4_lattices(X1,X3,X2)) )
| ~ 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,[],[f10414]) ).
tcf(c_1477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK305(X1),u1_struct_0(X1))
| ( k4_lattices(X1,k3_lattices(X1,X0,X3),k3_lattices(X1,X0,X2)) = k3_lattices(X1,X0,k4_lattices(X1,X3,X2)) )
| ~ 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,[],[f10413]) ).
tcf(c_1478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK304(X1),u1_struct_0(X1))
| ( k4_lattices(X1,k3_lattices(X1,X0,X3),k3_lattices(X1,X0,X2)) = k3_lattices(X1,X0,k4_lattices(X1,X3,X2)) )
| ~ 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,[],[f10412]) ).
tcf(c_1479,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,[],[f10421]) ).
tcf(c_1480,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,[],[f10420]) ).
tcf(c_1481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,k4_lattices(X1,k3_lattices(X1,X0,X3),k3_lattices(X1,X3,X2)),k3_lattices(X1,X2,X0)) = k3_lattices(X1,k3_lattices(X1,k4_lattices(X1,X0,X3),k4_lattices(X1,X3,X2)),k4_lattices(X1,X2,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,[],[f10422]) ).
tcf(c_1482,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,[],[f10423]) ).
tcf(c_1483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,k3_lattices(X1,X0,X3),k3_lattices(X1,X0,X2)) = k3_lattices(X1,X0,k4_lattices(X1,X3,X2)) )
| ~ 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,[],[f10424]) ).
tcf(c_1484,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,sK307(X0),sK308(X0)),k3_lattices(X0,sK308(X0),sK309(X0))),k3_lattices(X0,sK309(X0),sK307(X0))) != k3_lattices(X0,k3_lattices(X0,k4_lattices(X0,sK307(X0),sK308(X0)),k4_lattices(X0,sK308(X0),sK309(X0))),k4_lattices(X0,sK309(X0),sK307(X0))) ) ),
inference(cnf_transformation,[],[f10428]) ).
tcf(c_1485,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK309(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10427]) ).
tcf(c_1486,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK308(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10426]) ).
tcf(c_1487,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK307(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10425]) ).
tcf(c_1488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,k4_lattices(X1,k4_filter_0(X1,X0,X3),k4_filter_0(X1,X0,X2)),k4_filter_0(X1,X0,k4_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,[],[f10429]) ).
tcf(c_1489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,k4_lattices(X1,k4_filter_0(X1,X0,X3),k4_filter_0(X1,X2,X3)),k4_filter_0(X1,k3_lattices(X1,X0,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,[],[f10430]) ).
tcf(c_1490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,k4_filter_0(X1,X0,X3),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,[],[f10434]) ).
tcf(c_1491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,k4_filter_0(X1,X0,X3),k4_filter_0(X1,k4_lattices(X1,X0,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,[],[f10433]) ).
tcf(c_1492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,k4_filter_0(X1,X0,X3),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,[],[f10432]) ).
tcf(c_1493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,k4_filter_0(X1,X0,X3),k4_filter_0(X1,k4_lattices(X1,X2,X0),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,[],[f10431]) ).
tcf(c_1494,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,[],[f10436]) ).
tcf(c_1495,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,[],[f10435]) ).
tcf(c_1496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k4_filter_0(X1,k4_lattices(X1,X0,X3),X2) = k4_filter_0(X1,X0,k4_filter_0(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,[],[f10437]) ).
tcf(c_1497,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,[],[f10438]) ).
tcf(c_1498,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,[],[f10439]) ).
tcf(c_1499,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,[],[f10440]) ).
tcf(c_1500,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,[],[f10441]) ).
tcf(c_1501,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,sK310(X0,X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f12295]) ).
tcf(c_1502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,k4_lattices(X0,X1,sK310(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,[],[f12296]) ).
tcf(c_1503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK310(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,[],[f12297]) ).
tcf(c_1504,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,[],[f12298]) ).
tcf(c_1505,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,[],[f12299]) ).
tcf(c_1508,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f10453]) ).
tcf(c_1511,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f10450]) ).
tcf(c_1512,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))
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f10449]) ).
tcf(c_1513,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f10458]) ).
tcf(c_1516,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f10455]) ).
tcf(c_1517,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))
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f10454]) ).
tcf(c_1518,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f10461]) ).
tcf(c_1519,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,[],[f10460]) ).
tcf(c_1520,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,[],[f10459]) ).
tcf(c_1521,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,X0,X2) = k2_lattices(X1,X0,X2) )
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10462]) ).
tcf(c_1522,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,X0,X2) = k4_lattices(X1,X2,X0) )
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10463]) ).
tcf(c_1523,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(k4_lattices(X1,X0,X2),u1_struct_0(X1))
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10464]) ).
tcf(c_1524,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,[],[f10465]) ).
tcf(c_1525,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f10467]) ).
tcf(c_1526,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f10466]) ).
tcf(c_1527,plain,
l1_lattices(sK311),
inference(cnf_transformation,[],[f10468]) ).
tcf(c_1528,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f10469]) ).
tcf(c_1529,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,sK312(X0,X1)) != X1 )
| ( k2_lattices(X0,sK312(X0,X1),X1) != X1 ) ),
inference(cnf_transformation,[],[f10473]) ).
tcf(c_1530,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK312(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,[],[f10472]) ).
tcf(c_1531,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,[],[f12218]) ).
tcf(c_1532,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,[],[f12219]) ).
tcf(c_1533,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,sK313(X0,X1)) != X1 )
| ( k2_lattices(X0,sK313(X0,X1),X1) != X1 ) ),
inference(cnf_transformation,[],[f10478]) ).
tcf(c_1534,plain,
! [X0: $i,X1: $i] :
( v13_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(sK313(X1,X0),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10477]) ).
tcf(c_1535,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK314(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v13_lattices(X0) ),
inference(cnf_transformation,[],[f10476]) ).
tcf(c_1536,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_lattices(X1,sK314(X1),X0) = sK314(X1) )
| ~ l1_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10475]) ).
tcf(c_1537,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_lattices(X1,X0,sK314(X1)) = sK314(X1) )
| ~ l1_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10474]) ).
tcf(c_1538,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| ( k2_lattices(X0,k2_lattices(X0,sK315(X0),sK316(X0)),sK317(X0)) != k2_lattices(X0,sK315(X0),k2_lattices(X0,sK316(X0),sK317(X0))) ) ),
inference(cnf_transformation,[],[f10483]) ).
tcf(c_1539,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK317(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f10482]) ).
tcf(c_1540,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK316(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f10481]) ).
tcf(c_1541,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK315(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f10480]) ).
tcf(c_1542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k2_lattices(X1,k2_lattices(X1,X0,X2),X3) = k2_lattices(X1,X0,k2_lattices(X1,X2,X3)) )
| ~ v7_lattices(X1)
| ~ l1_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,[],[f10479]) ).
tcf(c_1543,plain,
! [X0: $i] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| ( k2_lattices(X0,sK318(X0),sK319(X0)) != k2_lattices(X0,sK319(X0),sK318(X0)) ) ),
inference(cnf_transformation,[],[f10487]) ).
tcf(c_1544,plain,
! [X0: $i] :
( v6_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK319(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f10486]) ).
tcf(c_1545,plain,
! [X0: $i] :
( v6_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK318(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f10485]) ).
tcf(c_1546,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_lattices(X1,X0,X2) = k2_lattices(X1,X2,X0) )
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10484]) ).
tcf(c_1547,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,[],[f10488]) ).
tcf(c_1548,plain,
! [X0: $i] :
( v3_filter_0(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10489]) ).
tcf(c_1549,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,[],[f10490]) ).
tcf(c_1550,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,[],[f10491]) ).
tcf(c_1551,plain,
l2_lattices(sK320),
inference(cnf_transformation,[],[f10492]) ).
tcf(c_1552,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f10493]) ).
tcf(c_1562,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP11(X1,X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10503]) ).
tcf(c_1563,plain,
l3_lattices(sK321),
inference(cnf_transformation,[],[f10514]) ).
tcf(c_1564,plain,
~ v3_struct_0(sK321),
inference(cnf_transformation,[],[f10513]) ).
tcf(c_1565,plain,
v3_lattices(sK321),
inference(cnf_transformation,[],[f10512]) ).
tcf(c_1566,plain,
v4_lattices(sK321),
inference(cnf_transformation,[],[f10511]) ).
tcf(c_1567,plain,
v5_lattices(sK321),
inference(cnf_transformation,[],[f10510]) ).
tcf(c_1568,plain,
v6_lattices(sK321),
inference(cnf_transformation,[],[f10509]) ).
tcf(c_1569,plain,
v7_lattices(sK321),
inference(cnf_transformation,[],[f10508]) ).
tcf(c_1570,plain,
v8_lattices(sK321),
inference(cnf_transformation,[],[f10507]) ).
tcf(c_1571,plain,
v9_lattices(sK321),
inference(cnf_transformation,[],[f10506]) ).
tcf(c_1572,plain,
v10_lattices(sK321),
inference(cnf_transformation,[],[f10505]) ).
tcf(c_1573,plain,
v3_filter_0(sK321),
inference(cnf_transformation,[],[f10504]) ).
tcf(c_1581,plain,
l3_lattices(sK322),
inference(cnf_transformation,[],[f10534]) ).
tcf(c_1582,plain,
~ v3_struct_0(sK322),
inference(cnf_transformation,[],[f10533]) ).
tcf(c_1583,plain,
v3_lattices(sK322),
inference(cnf_transformation,[],[f10532]) ).
tcf(c_1584,plain,
v4_lattices(sK322),
inference(cnf_transformation,[],[f10531]) ).
tcf(c_1585,plain,
v5_lattices(sK322),
inference(cnf_transformation,[],[f10530]) ).
tcf(c_1586,plain,
v6_lattices(sK322),
inference(cnf_transformation,[],[f10529]) ).
tcf(c_1587,plain,
v7_lattices(sK322),
inference(cnf_transformation,[],[f10528]) ).
tcf(c_1588,plain,
v8_lattices(sK322),
inference(cnf_transformation,[],[f10527]) ).
tcf(c_1589,plain,
v9_lattices(sK322),
inference(cnf_transformation,[],[f10526]) ).
tcf(c_1590,plain,
v10_lattices(sK322),
inference(cnf_transformation,[],[f10525]) ).
tcf(c_1591,plain,
v13_lattices(sK322),
inference(cnf_transformation,[],[f10524]) ).
tcf(c_1592,plain,
v14_lattices(sK322),
inference(cnf_transformation,[],[f10523]) ).
tcf(c_1594,plain,
l3_lattices(sK323),
inference(cnf_transformation,[],[f10544]) ).
tcf(c_1595,plain,
~ v3_struct_0(sK323),
inference(cnf_transformation,[],[f10543]) ).
tcf(c_1596,plain,
v3_lattices(sK323),
inference(cnf_transformation,[],[f10542]) ).
tcf(c_1597,plain,
v4_lattices(sK323),
inference(cnf_transformation,[],[f10541]) ).
tcf(c_1598,plain,
v5_lattices(sK323),
inference(cnf_transformation,[],[f10540]) ).
tcf(c_1599,plain,
v6_lattices(sK323),
inference(cnf_transformation,[],[f10539]) ).
tcf(c_1600,plain,
v7_lattices(sK323),
inference(cnf_transformation,[],[f10538]) ).
tcf(c_1601,plain,
v8_lattices(sK323),
inference(cnf_transformation,[],[f10537]) ).
tcf(c_1602,plain,
v9_lattices(sK323),
inference(cnf_transformation,[],[f10536]) ).
tcf(c_1603,plain,
v10_lattices(sK323),
inference(cnf_transformation,[],[f10535]) ).
tcf(c_1604,plain,
! [X0: $i] :
( v10_lattices(X0)
| v3_struct_0(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| ~ v7_lattices(X0)
| ~ v4_lattices(X0)
| ~ v5_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f10545]) ).
tcf(c_1605,plain,
! [X0: $i] :
( v4_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10552]) ).
tcf(c_1606,plain,
! [X0: $i] :
( v5_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10551]) ).
tcf(c_1607,plain,
! [X0: $i] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10550]) ).
tcf(c_1608,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10549]) ).
tcf(c_1609,plain,
! [X0: $i] :
( v8_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10548]) ).
tcf(c_1610,plain,
! [X0: $i] :
( v9_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10547]) ).
tcf(c_1611,plain,
! [X0: $i,X1: $i] :
( v3_relat_2(sK324(X1,X0))
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f10559]) ).
tcf(c_1612,plain,
! [X0: $i,X1: $i] :
( v8_relat_2(sK324(X1,X0))
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f10558]) ).
tcf(c_1613,plain,
! [X0: $i,X1: $i] :
( v1_partfun1(sK324(X1,X0),X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f10557]) ).
tcf(c_1614,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK324(X1,X0),X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f10556]) ).
tcf(c_1615,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK324(X1,X0))
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f10555]) ).
tcf(c_1616,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK324(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,[],[f10554]) ).
tcf(c_1617,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,[],[f11915]) ).
tcf(c_1618,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,[],[f11916]) ).
tcf(c_1619,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_partfun1(X0,X1,X2)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f12300]) ).
tcf(c_1622,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f10569]) ).
tcf(c_1624,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,[],[f10572]) ).
tcf(c_1625,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ v1_partfun1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10574]) ).
tcf(c_1626,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,[],[f11919]) ).
tcf(c_1627,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,[],[f12221]) ).
tcf(c_1628,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,[],[f10580]) ).
tcf(c_1629,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,[],[f10579]) ).
tcf(c_1630,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,[],[f10578]) ).
tcf(c_1631,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v3_struct_0(k8_filter_0(X0,k2_filter_0(X0,X1))) ),
inference(cnf_transformation,[],[f12302]) ).
tcf(c_1632,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v10_lattices(k8_filter_0(X1,k2_filter_0(X1,X0)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12303]) ).
tcf(c_1633,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v17_lattices(k8_filter_0(X1,k2_filter_0(X1,X0)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12304]) ).
tcf(c_1634,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| l3_lattices(k8_filter_0(X1,k2_filter_0(X1,X0)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12305]) ).
tcf(c_1636,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,[],[f10586]) ).
tcf(c_1637,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,[],[f10587]) ).
tcf(c_1638,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,[],[f12307]) ).
tcf(c_1639,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,[],[f10589]) ).
tcf(c_1640,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,[],[f10590]) ).
tcf(c_1641,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,[],[f12223]) ).
tcf(c_1642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r3_lattices(k8_filter_0(X1,X2),X0,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ r3_lattices(X1,X0,X3)
| ~ m1_subset_1(X3,u1_struct_0(k8_filter_0(X1,X2)))
| ~ m1_subset_1(X0,u1_struct_0(k8_filter_0(X1,X2))) ),
inference(cnf_transformation,[],[f12225]) ).
tcf(c_1643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k3_lattices(k8_filter_0(X1,X2),X0,X3) = k3_lattices(X1,X0,X3) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(k8_filter_0(X1,X2)))
| ~ m1_subset_1(X0,u1_struct_0(k8_filter_0(X1,X2))) ),
inference(cnf_transformation,[],[f12227]) ).
tcf(c_1644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k4_lattices(k8_filter_0(X1,X2),X0,X3) = k4_lattices(X1,X0,X3) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(k8_filter_0(X1,X2)))
| ~ m1_subset_1(X0,u1_struct_0(k8_filter_0(X1,X2))) ),
inference(cnf_transformation,[],[f12229]) ).
tcf(c_1645,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,[],[f10597]) ).
tcf(c_1646,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,[],[f10596]) ).
tcf(c_1647,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,[],[f10595]) ).
tcf(c_1648,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_filter_0(X1,X0) = X2 )
| ~ sP13(X2,X1,X0)
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f10599]) ).
tcf(c_1649,plain,
! [X0: $i,X1: $i] :
( sP12(X1,X0,k8_filter_0(X0,X1))
| ~ sP13(k8_filter_0(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f12230]) ).
tcf(c_1660,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| sP13(X2,X1,X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10610]) ).
tcf(c_1670,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| sP14(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10620]) ).
tcf(c_1671,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,[],[f10621]) ).
tcf(c_1672,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,[],[f10622]) ).
tcf(c_1673,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,[],[f10623]) ).
tcf(c_1674,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,[],[f10624]) ).
tcf(c_1675,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,[],[f10627]) ).
tcf(c_1676,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,[],[f10626]) ).
tcf(c_1677,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,[],[f10625]) ).
tcf(c_1678,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,[],[f10629]) ).
tcf(c_1679,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,[],[f10628]) ).
tcf(c_1680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| ( k2_funct_2(X0,X1,X2,X3) = k2_funct_2(X0,X1,X4,X3) )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ( k2_partfun1(X0,X1,X2,X3) != k2_partfun1(X0,X1,X4,X3) ) ),
inference(cnf_transformation,[],[f10630]) ).
tcf(c_1681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v1_funct_1(k2_partfun1(X0,X1,X2,X3))
| ~ v1_funct_1(X2)
| ~ r1_tarski(X3,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ r1_tarski(k2_funct_2(X0,X1,X2,X3),X4) ),
inference(cnf_transformation,[],[f10633]) ).
tcf(c_1682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v1_funct_2(k2_partfun1(X0,X1,X2,X3),X3,X4)
| ~ v1_funct_1(X2)
| ~ r1_tarski(X3,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ r1_tarski(k2_funct_2(X0,X1,X2,X3),X4) ),
inference(cnf_transformation,[],[f10632]) ).
tcf(c_1683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| m2_relset_1(k2_partfun1(X0,X1,X2,X3),X3,X4)
| ~ v1_funct_1(X2)
| ~ r1_tarski(X3,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ r1_tarski(k2_funct_2(X0,X1,X2,X3),X4) ),
inference(cnf_transformation,[],[f10631]) ).
tcf(c_1684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ( X3 = np__0 )
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ( k2_funct_2(X0,X1,X2,X3) != np__0 ) ),
inference(cnf_transformation,[],[f11921]) ).
tcf(c_1685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| r1_tarski(k2_funct_2(X0,X1,X2,X3),X4)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ r2_hidden(k8_funct_2(X0,X1,X2,sK327(X0,X1,X3,X4,X2)),X4) ),
inference(cnf_transformation,[],[f10637]) ).
tcf(c_1686,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(sK327(X1,X2,X3,X4,X0),X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f10636]) ).
tcf(c_1687,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(sK327(X1,X2,X3,X4,X0),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f10635]) ).
tcf(c_1688,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)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f11922]) ).
tcf(c_1689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| ( k2_funct_2(X1,X2,X0,k3_tarski(X3)) = k3_tarski(k9_relat_1(k1_funct_3(X0),X3)) )
| ~ v1_funct_1(X0)
| ~ r1_tarski(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f10639]) ).
tcf(c_1690,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,[],[f10640]) ).
tcf(c_1691,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,[],[f10641]) ).
tcf(c_1692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK328(X1,X4,X3,X0),X4)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f10644]) ).
tcf(c_1693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k1_funct_1(X3,sK328(X1,X4,X3,X0)) = X0 )
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f10643]) ).
tcf(c_1694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m1_subset_1(sK328(X1,X4,X3,X0),X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f10642]) ).
tcf(c_1695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK329(X1,X4,X3,X0),X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f10647]) ).
tcf(c_1696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK329(X1,X4,X3,X0),X4)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f10646]) ).
tcf(c_1697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k1_funct_1(X3,sK329(X1,X4,X3,X0)) = X0 )
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f10645]) ).
tcf(c_1698,plain,
! [X0: $i,X1: $i] :
( ( k2_funct_2(X1,X1,X0,X1) = k2_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X1)
| ~ v1_funct_2(X0,X1,X1) ),
inference(cnf_transformation,[],[f10648]) ).
tcf(c_1699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k2_funct_2(k2_tarski(X1,X1),X2,X0,X3),k2_tarski(k1_funct_1(X0,X1),k1_funct_1(X0,X1)))
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_tarski(X1,X1),X2)
| ~ v1_funct_2(X0,k2_tarski(X1,X1),X2) ),
inference(cnf_transformation,[],[f11923]) ).
tcf(c_1700,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_funct_2(np__0,X1,X0,X2) = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X1)
| ~ v1_funct_2(X0,np__0,X1) ),
inference(cnf_transformation,[],[f11924]) ).
tcf(c_1701,plain,
! [X0: $i,X1: $i] :
( ( k2_funct_2(np__0,X1,X0,np__0) = k2_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X1)
| ~ v1_funct_2(X0,np__0,X1) ),
inference(cnf_transformation,[],[f12234]) ).
tcf(c_1702,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k2_funct_2(X1,X2,X0,X1) = k2_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f11926]) ).
tcf(c_1703,plain,
! [X0: $i] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u1_cat_1(X0)) ),
inference(cnf_transformation,[],[f10653]) ).
tcf(c_1704,plain,
l1_cat_1(sK330),
inference(cnf_transformation,[],[f10654]) ).
tcf(c_1705,plain,
l1_cat_1(sK331),
inference(cnf_transformation,[],[f10656]) ).
tcf(c_1706,plain,
v2_cat_1(sK331),
inference(cnf_transformation,[],[f10655]) ).
tcf(c_1707,plain,
! [X0: $i,X1: $i] :
( m2_cat_1(sK332(X0,X1),X0,X1)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f10657]) ).
tcf(c_1708,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(X0)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10660]) ).
tcf(c_1709,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(X0,u2_cat_1(X1),u2_cat_1(X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10659]) ).
tcf(c_1710,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,u2_cat_1(X1),u2_cat_1(X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10658]) ).
tcf(c_1711,plain,
! [X0: $i] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u2_cat_1(X0)) ),
inference(cnf_transformation,[],[f10661]) ).
tcf(c_1712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| m1_subset_1(k10_setwiseo(X1,X2,X3,X0),k5_finsub_1(X2))
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m1_relset_1(X0,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X0,X1,k5_finsub_1(X2)) ),
inference(cnf_transformation,[],[f10662]) ).
tcf(c_1713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X4)
| ( k10_setwiseo(X4,X0,X5,k7_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X0),X3,X2)) = k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X0),X2,k10_setwiseo(X4,X1,X5,X3)) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X5,k5_finsub_1(X4))
| ~ m2_relset_1(X3,X4,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X4,k5_finsub_1(X1))
| ~ m2_relset_1(X2,k5_finsub_1(X1),k5_finsub_1(X0))
| ~ v1_funct_2(X2,k5_finsub_1(X1),k5_finsub_1(X0))
| ( k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X0),X2,k1_setwiseo(X1)) != k1_setwiseo(X0) )
| ( k5_setwiseo(X0,k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X0),X2,sK333(X1,X0,X2)),k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X0),X2,sK334(X1,X0,X2))) != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X0),X2,k5_setwiseo(X1,sK333(X1,X0,X2),sK334(X1,X0,X2))) ) ),
inference(cnf_transformation,[],[f10665]) ).
tcf(c_1714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X4)
| m1_subset_1(sK334(X0,X1,X2),k5_finsub_1(X0))
| ( k10_setwiseo(X4,X1,X5,k7_funct_2(X4,k5_finsub_1(X0),k5_finsub_1(X1),X3,X2)) = k8_funct_2(k5_finsub_1(X0),k5_finsub_1(X1),X2,k10_setwiseo(X4,X0,X5,X3)) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X5,k5_finsub_1(X4))
| ~ m2_relset_1(X3,X4,k5_finsub_1(X0))
| ~ v1_funct_2(X3,X4,k5_finsub_1(X0))
| ~ m2_relset_1(X2,k5_finsub_1(X0),k5_finsub_1(X1))
| ~ v1_funct_2(X2,k5_finsub_1(X0),k5_finsub_1(X1))
| ( k8_funct_2(k5_finsub_1(X0),k5_finsub_1(X1),X2,k1_setwiseo(X0)) != k1_setwiseo(X1) ) ),
inference(cnf_transformation,[],[f10664]) ).
tcf(c_1715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X4)
| m1_subset_1(sK333(X0,X1,X2),k5_finsub_1(X0))
| ( k10_setwiseo(X4,X1,X5,k7_funct_2(X4,k5_finsub_1(X0),k5_finsub_1(X1),X3,X2)) = k8_funct_2(k5_finsub_1(X0),k5_finsub_1(X1),X2,k10_setwiseo(X4,X0,X5,X3)) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X5,k5_finsub_1(X4))
| ~ m2_relset_1(X3,X4,k5_finsub_1(X0))
| ~ v1_funct_2(X3,X4,k5_finsub_1(X0))
| ~ m2_relset_1(X2,k5_finsub_1(X0),k5_finsub_1(X1))
| ~ v1_funct_2(X2,k5_finsub_1(X0),k5_finsub_1(X1))
| ( k8_funct_2(k5_finsub_1(X0),k5_finsub_1(X1),X2,k1_setwiseo(X0)) != k1_setwiseo(X1) ) ),
inference(cnf_transformation,[],[f10663]) ).
tcf(c_1716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,k10_setwiseo(X1,X2,X5,X3))
| ~ v1_funct_1(X3)
| ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X5,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X3,X1,k5_finsub_1(X2))
| ~ r2_hidden(X0,k8_funct_2(X1,k5_finsub_1(X2),X3,X4)) ),
inference(cnf_transformation,[],[f10669]) ).
tcf(c_1717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| m1_subset_1(sK335(X1,X2,X4,X3,X0),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X1,k5_finsub_1(X2))
| ~ r2_hidden(X0,k10_setwiseo(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f10668]) ).
tcf(c_1718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| r2_hidden(sK335(X1,X2,X4,X3,X0),X3)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X1,k5_finsub_1(X2))
| ~ r2_hidden(X0,k10_setwiseo(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f10667]) ).
tcf(c_1719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,k8_funct_2(X1,k5_finsub_1(X2),X4,sK335(X1,X2,X4,X3,X0)))
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X1,k5_finsub_1(X2))
| ~ r2_hidden(X0,k10_setwiseo(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f10666]) ).
tcf(c_1720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v1_xboole_0(X5)
| v1_xboole_0(X0)
| ( k7_setwiseo(X5,X0,X1,X6,k7_funct_2(X5,k5_finsub_1(X2),X0,X4,X3)) = k8_funct_2(k5_finsub_1(X2),X0,X3,k10_setwiseo(X5,X2,X6,X4)) )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X1)
| ~ v3_binop_1(X1,X0)
| ~ v2_binop_1(X1,X0)
| ~ v1_binop_1(X1,X0)
| ~ v1_setwiseo(X1,X0)
| ~ m1_subset_1(X6,k5_finsub_1(X5))
| ~ m2_relset_1(X4,X5,k5_finsub_1(X2))
| ~ m2_relset_1(X3,k5_finsub_1(X2),X0)
| ~ v1_funct_2(X4,X5,k5_finsub_1(X2))
| ~ v1_funct_2(X3,k5_finsub_1(X2),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k8_funct_2(k5_finsub_1(X2),X0,X3,k1_setwiseo(X2)) != k3_binop_1(X0,X1) )
| ( k2_binop_1(X0,X0,X0,X1,k8_funct_2(k5_finsub_1(X2),X0,X3,sK336(X0,X2,X1,X3)),k8_funct_2(k5_finsub_1(X2),X0,X3,sK337(X0,X2,X1,X3))) != k8_funct_2(k5_finsub_1(X2),X0,X3,k5_setwiseo(X2,sK336(X0,X2,X1,X3),sK337(X0,X2,X1,X3))) ) ),
inference(cnf_transformation,[],[f10672]) ).
tcf(c_1721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v1_xboole_0(X5)
| v1_xboole_0(X1)
| m1_subset_1(sK337(X1,X0,X3,X2),k5_finsub_1(X0))
| ( k7_setwiseo(X5,X1,X3,X6,k7_funct_2(X5,k5_finsub_1(X0),X1,X4,X2)) = k8_funct_2(k5_finsub_1(X0),X1,X2,k10_setwiseo(X5,X0,X6,X4)) )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ v1_setwiseo(X3,X1)
| ~ m1_subset_1(X6,k5_finsub_1(X5))
| ~ m2_relset_1(X4,X5,k5_finsub_1(X0))
| ~ m2_relset_1(X2,k5_finsub_1(X0),X1)
| ~ v1_funct_2(X4,X5,k5_finsub_1(X0))
| ~ v1_funct_2(X2,k5_finsub_1(X0),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ( k8_funct_2(k5_finsub_1(X0),X1,X2,k1_setwiseo(X0)) != k3_binop_1(X1,X3) ) ),
inference(cnf_transformation,[],[f10671]) ).
tcf(c_1722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v1_xboole_0(X5)
| v1_xboole_0(X1)
| m1_subset_1(sK336(X1,X0,X3,X2),k5_finsub_1(X0))
| ( k7_setwiseo(X5,X1,X3,X6,k7_funct_2(X5,k5_finsub_1(X0),X1,X4,X2)) = k8_funct_2(k5_finsub_1(X0),X1,X2,k10_setwiseo(X5,X0,X6,X4)) )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ v1_setwiseo(X3,X1)
| ~ m1_subset_1(X6,k5_finsub_1(X5))
| ~ m2_relset_1(X4,X5,k5_finsub_1(X0))
| ~ m2_relset_1(X2,k5_finsub_1(X0),X1)
| ~ v1_funct_2(X4,X5,k5_finsub_1(X0))
| ~ v1_funct_2(X2,k5_finsub_1(X0),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ( k8_funct_2(k5_finsub_1(X0),X1,X2,k1_setwiseo(X0)) != k3_binop_1(X1,X3) ) ),
inference(cnf_transformation,[],[f10670]) ).
tcf(c_1723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| ( k5_setwiseo(X2,k10_setwiseo(X1,X2,X3,X0),k10_setwiseo(X1,X2,X4,X0)) = k10_setwiseo(X1,X2,k5_setwiseo(X1,X3,X4),X0) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X0,X1,k5_finsub_1(X2)) ),
inference(cnf_transformation,[],[f10673]) ).
tcf(c_1724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| ( k5_setwiseo(X2,k10_setwiseo(X1,X2,X3,X0),k8_funct_2(X1,k5_finsub_1(X2),X0,X4)) = k10_setwiseo(X1,X2,k5_setwiseo(X1,X3,k2_setwiseo(X1,X4)),X0) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X0,X1,k5_finsub_1(X2)) ),
inference(cnf_transformation,[],[f10674]) ).
tcf(c_1725,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| ( k10_setwiseo(X1,X2,k1_setwiseo(X1),X0) = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X0,X1,k5_finsub_1(X2)) ),
inference(cnf_transformation,[],[f11927]) ).
tcf(c_1726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| ( k10_setwiseo(X1,X2,k2_setwiseo(X1,X3),X0) = k8_funct_2(X1,k5_finsub_1(X2),X0,X3) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X0,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X0,X1,k5_finsub_1(X2)) ),
inference(cnf_transformation,[],[f10676]) ).
tcf(c_1727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| ( k7_setwiseo(X1,k5_finsub_1(X2),k9_setwiseo(X2),X3,X0) = k10_setwiseo(X1,X2,X3,X0) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X0,X1,k5_finsub_1(X2)) ),
inference(cnf_transformation,[],[f10677]) ).
tcf(c_1728,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,[],[f10678]) ).
tcf(c_1729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X0)
| ( k4_lattices(X0,X1,k2_lattice2(X2,X0,X4,X3)) = k2_lattice2(X2,X0,X4,X5) )
| ~ v11_lattices(X0)
| ~ v13_lattices(X0)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_relset_1(X5,X2,u1_struct_0(X0))
| ~ m2_relset_1(X3,X2,u1_struct_0(X0))
| ~ v1_funct_2(X5,X2,u1_struct_0(X0))
| ~ v1_funct_2(X3,X2,u1_struct_0(X0))
| ( k4_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X3,sK338(X2,X4,X0,X5,X3,X1))) != k8_funct_2(X2,u1_struct_0(X0),X5,sK338(X2,X4,X0,X5,X3,X1)) ) ),
inference(cnf_transformation,[],[f10681]) ).
tcf(c_1730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK338(X1,X4,X2,X0,X3,X5),X4)
| ( k4_lattices(X2,X5,k2_lattice2(X1,X2,X4,X3)) = k2_lattice2(X1,X2,X4,X0) )
| ~ v11_lattices(X2)
| ~ v13_lattices(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X5,u1_struct_0(X2))
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f10680]) ).
tcf(c_1731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK338(X1,X4,X2,X0,X3,X5),X1)
| ( k4_lattices(X2,X5,k2_lattice2(X1,X2,X4,X3)) = k2_lattice2(X1,X2,X4,X0) )
| ~ v11_lattices(X2)
| ~ v13_lattices(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X5,u1_struct_0(X2))
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f10679]) ).
tcf(c_1732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k2_lattice2(X1,X0,X3,X2),k2_lattice2(X1,X0,X3,X4))
| ~ v13_lattices(X0)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK339(X1,X3,X0,X2,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK339(X1,X3,X0,X2,X4))) ),
inference(cnf_transformation,[],[f10684]) ).
tcf(c_1733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK339(X1,X4,X2,X0,X3),X4)
| r3_lattices(X2,k2_lattice2(X1,X2,X4,X0),k2_lattice2(X1,X2,X4,X3))
| ~ v13_lattices(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f10683]) ).
tcf(c_1734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK339(X1,X4,X2,X0,X3),X1)
| r3_lattices(X2,k2_lattice2(X1,X2,X4,X0),k2_lattice2(X1,X2,X4,X3))
| ~ v13_lattices(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f10682]) ).
tcf(c_1735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k2_lattice2(X1,X0,X3,X2),X4)
| ~ v13_lattices(X0)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK340(X1,X3,X0,X2,X4)),X4) ),
inference(cnf_transformation,[],[f10687]) ).
tcf(c_1736,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(sK340(X1,X3,X2,X0,X4),X3)
| ~ v13_lattices(X2)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f10686]) ).
tcf(c_1737,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(sK340(X1,X3,X2,X0,X4),X1)
| ~ v13_lattices(X2)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f10685]) ).
tcf(c_1738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| ( k2_lattice2(X0,X1,X3,X2) = k2_lattice2(X0,X1,X3,X4) )
| ~ v13_lattices(X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,u1_struct_0(X1))
| ~ m2_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X4,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ( k2_partfun1(X0,u1_struct_0(X1),X2,X3) != k2_partfun1(X0,u1_struct_0(X1),X4,X3) ) ),
inference(cnf_transformation,[],[f10688]) ).
tcf(c_1739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| ( k3_lattice2(X1,k1_lattice2(X2),X3,X0) = k2_lattice2(X1,X2,X3,X0) )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(k1_lattice2(X2)))
| ~ v1_funct_2(X0,X1,u1_struct_0(k1_lattice2(X2))) ),
inference(cnf_transformation,[],[f12308]) ).
tcf(c_1740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| ( k2_lattice2(X1,k1_lattice2(X2),X3,X0) = k3_lattice2(X1,X2,X3,X0) )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(k1_lattice2(X2)))
| ~ v1_funct_2(X0,X1,u1_struct_0(k1_lattice2(X2))) ),
inference(cnf_transformation,[],[f12309]) ).
tcf(c_1741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| ( X3 = np__0 )
| ( k2_lattice2(X0,X1,X3,X2) = k2_lattice2(X0,X1,X3,X4) )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,u1_struct_0(X1))
| ~ m2_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X4,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ( k2_partfun1(X0,u1_struct_0(X1),X2,X3) != k2_partfun1(X0,u1_struct_0(X1),X4,X3) ) ),
inference(cnf_transformation,[],[f11928]) ).
tcf(c_1742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k2_lattice2(X1,X0,X3,X2),k2_lattice2(X1,X0,X3,X4))
| ( X3 = np__0 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK341(X0,X1,X3,X2,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK341(X0,X1,X3,X2,X4))) ),
inference(cnf_transformation,[],[f11929]) ).
tcf(c_1743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK341(X2,X1,X4,X0,X3),X4)
| r3_lattices(X2,k2_lattice2(X1,X2,X4,X0),k2_lattice2(X1,X2,X4,X3))
| ( X4 = np__0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11930]) ).
tcf(c_1744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK341(X2,X1,X4,X0,X3),X1)
| r3_lattices(X2,k2_lattice2(X1,X2,X4,X0),k2_lattice2(X1,X2,X4,X3))
| ( X4 = np__0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11931]) ).
tcf(c_1745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k2_lattice2(X1,X0,X4,X2),X3)
| ( X4 = np__0 )
| ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK342(X0,X3,X1,X4,X2)),X3) ),
inference(cnf_transformation,[],[f11932]) ).
tcf(c_1746,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(sK342(X2,X3,X1,X4,X0),X4)
| ( X4 = np__0 )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11933]) ).
tcf(c_1747,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(sK342(X2,X3,X1,X4,X0),X1)
| ( X4 = np__0 )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11934]) ).
tcf(c_1748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,X5),X4)
| ~ v1_funct_1(X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(X5,X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k2_lattice2(X1,X0,X2,X3),X4) ),
inference(cnf_transformation,[],[f10698]) ).
tcf(c_1749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| ( X4 = np__0 )
| ( k2_lattice2(X0,X1,X4,X2) = X3 )
| ~ v1_funct_1(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X4,k5_finsub_1(X0))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m2_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ( k8_funct_2(X0,u1_struct_0(X1),X2,sK343(X1,X3,X0,X4,X2)) != X3 ) ),
inference(cnf_transformation,[],[f11935]) ).
tcf(c_1750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK343(X2,X3,X1,X4,X0),X4)
| ( X4 = np__0 )
| ( k2_lattice2(X1,X2,X4,X0) = X3 )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11936]) ).
tcf(c_1751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK343(X2,X3,X1,X4,X0),X1)
| ( X4 = np__0 )
| ( k2_lattice2(X1,X2,X4,X0) = X3 )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11937]) ).
tcf(c_1752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X0)
| r3_lattices(X0,X1,k2_lattice2(X2,X0,X5,X3))
| ~ v1_funct_1(X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X4,X2)
| ~ m1_subset_1(X5,k5_finsub_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_relset_1(X3,X2,u1_struct_0(X0))
| ~ v1_funct_2(X3,X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X3,X4)) ),
inference(cnf_transformation,[],[f10702]) ).
tcf(c_1753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r3_lattices(X2,k8_funct_2(X1,u1_struct_0(X2),X0,X4),k2_lattice2(X1,X2,X3,X0))
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X4,X3)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f10703]) ).
tcf(c_1754,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,[],[f10704]) ).
tcf(c_1755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k3_lattice2(X1,X0,X3,X2),k3_lattice2(X1,X0,X3,X4))
| ~ v14_lattices(X0)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK344(X1,X3,X0,X2,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK344(X1,X3,X0,X2,X4))) ),
inference(cnf_transformation,[],[f10707]) ).
tcf(c_1756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK344(X1,X4,X2,X0,X3),X4)
| r3_lattices(X2,k3_lattice2(X1,X2,X4,X0),k3_lattice2(X1,X2,X4,X3))
| ~ v14_lattices(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f10706]) ).
tcf(c_1757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK344(X1,X4,X2,X0,X3),X1)
| r3_lattices(X2,k3_lattice2(X1,X2,X4,X0),k3_lattice2(X1,X2,X4,X3))
| ~ v14_lattices(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f10705]) ).
tcf(c_1758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X0)
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X4,X3))
| ~ v14_lattices(X0)
| ~ v1_funct_1(X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_relset_1(X3,X2,u1_struct_0(X0))
| ~ v1_funct_2(X3,X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X3,sK345(X2,X4,X0,X3,X1))) ),
inference(cnf_transformation,[],[f10710]) ).
tcf(c_1759,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(sK345(X1,X3,X2,X0,X4),X3)
| ~ v14_lattices(X2)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f10709]) ).
tcf(c_1760,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(sK345(X1,X3,X2,X0,X4),X1)
| ~ v14_lattices(X2)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f10708]) ).
tcf(c_1761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| ( k3_lattice2(X0,X1,X3,X2) = k3_lattice2(X0,X1,X3,X4) )
| ~ v14_lattices(X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,u1_struct_0(X1))
| ~ m2_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X4,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ( k2_partfun1(X0,u1_struct_0(X1),X2,X3) != k2_partfun1(X0,u1_struct_0(X1),X4,X3) ) ),
inference(cnf_transformation,[],[f10711]) ).
tcf(c_1762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k3_lattice2(X1,X0,X3,X2),k3_lattice2(X1,X0,X3,X4))
| ( X3 = np__0 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK346(X0,X1,X3,X2,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK346(X0,X1,X3,X2,X4))) ),
inference(cnf_transformation,[],[f11938]) ).
tcf(c_1763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK346(X2,X1,X4,X0,X3),X4)
| r3_lattices(X2,k3_lattice2(X1,X2,X4,X0),k3_lattice2(X1,X2,X4,X3))
| ( X4 = np__0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11939]) ).
tcf(c_1764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK346(X2,X1,X4,X0,X3),X1)
| r3_lattices(X2,k3_lattice2(X1,X2,X4,X0),k3_lattice2(X1,X2,X4,X3))
| ( X4 = np__0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11940]) ).
tcf(c_1765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X0)
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X4,X3))
| ( X4 = np__0 )
| ~ v1_funct_1(X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_relset_1(X3,X2,u1_struct_0(X0))
| ~ v1_funct_2(X3,X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X3,sK347(X0,X1,X2,X4,X3))) ),
inference(cnf_transformation,[],[f11941]) ).
tcf(c_1766,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(sK347(X2,X3,X1,X4,X0),X4)
| ( X4 = np__0 )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11942]) ).
tcf(c_1767,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(sK347(X2,X3,X1,X4,X0),X1)
| ( X4 = np__0 )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11943]) ).
tcf(c_1768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| ( X3 = np__0 )
| ( k3_lattice2(X0,X1,X3,X2) = k3_lattice2(X0,X1,X3,X4) )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,u1_struct_0(X1))
| ~ m2_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X4,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ( k2_partfun1(X0,u1_struct_0(X1),X2,X3) != k2_partfun1(X0,u1_struct_0(X1),X4,X3) ) ),
inference(cnf_transformation,[],[f11944]) ).
tcf(c_1769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X0)
| r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,X5))
| ~ v1_funct_1(X4)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X5,X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4)) ),
inference(cnf_transformation,[],[f10719]) ).
tcf(c_1770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| ( X4 = np__0 )
| ( k3_lattice2(X0,X1,X4,X2) = X3 )
| ~ v1_funct_1(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X4,k5_finsub_1(X0))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m2_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ( k8_funct_2(X0,u1_struct_0(X1),X2,sK348(X1,X3,X0,X4,X2)) != X3 ) ),
inference(cnf_transformation,[],[f11945]) ).
tcf(c_1771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK348(X2,X3,X1,X4,X0),X4)
| ( X4 = np__0 )
| ( k3_lattice2(X1,X2,X4,X0) = X3 )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11946]) ).
tcf(c_1772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK348(X2,X3,X1,X4,X0),X1)
| ( X4 = np__0 )
| ( k3_lattice2(X1,X2,X4,X0) = X3 )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11947]) ).
tcf(c_1773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k3_lattice2(X1,X0,X5,X2),X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(X3,X5)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X5,k5_finsub_1(X1))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,X3),X4) ),
inference(cnf_transformation,[],[f10723]) ).
tcf(c_1774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r3_lattices(X2,k3_lattice2(X1,X2,X3,X0),k8_funct_2(X1,u1_struct_0(X2),X0,X4))
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X4,X3)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f10724]) ).
tcf(c_1775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| ( k7_setwiseo(X1,u1_struct_0(X2),u1_lattices(X2),X3,X0) = k3_lattice2(X1,X2,X3,X0) )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f10725]) ).
tcf(c_1776,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10726]) ).
tcf(c_1777,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k3_finseq_1(X0) != k3_finseq_1(X1) )
| ( k1_funct_1(X0,sK349(X0,X1)) != k1_funct_1(X1,sK349(X0,X1)) ) ),
inference(cnf_transformation,[],[f10730]) ).
tcf(c_1778,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(np__1,sK349(X0,X1))
| ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f10729]) ).
tcf(c_1779,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(sK349(X0,X1),k3_finseq_1(X0))
| ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f10728]) ).
tcf(c_1780,plain,
! [X0: $i,X1: $i] :
( m2_subset_1(sK349(X0,X1),k1_numbers,k5_numbers)
| ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f10727]) ).
tcf(c_1781,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,[],[f10731]) ).
tcf(c_1782,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X0,X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f10732]) ).
tcf(c_1783,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ r2_hidden(X0,k1_numbers) ),
inference(cnf_transformation,[],[f10734]) ).
tcf(c_1784,plain,
! [X0: $i] :
( r2_hidden(X0,k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f10733]) ).
tcf(c_1785,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK350(X0,X1),X0)
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f10738]) ).
tcf(c_1786,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK350(X0,X1),X1)
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f10737]) ).
tcf(c_1787,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v1_xcmplx_0(sK350(X0,X1))
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f10736]) ).
tcf(c_1789,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_membered(X1)
| ~ v1_membered(X0)
| ~ r2_hidden(sK351(X0,X1),X1)
| ~ r2_hidden(sK351(X0,X1),X0) ),
inference(cnf_transformation,[],[f10743]) ).
tcf(c_1790,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK351(X0,X1),X1)
| r2_hidden(sK351(X0,X1),X0)
| ( X0 = X1 )
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f10742]) ).
tcf(c_1791,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(sK351(X0,X1))
| ( X0 = X1 )
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f10741]) ).
tcf(c_1794,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_membered(X1)
| ~ v1_membered(X0)
| ~ r2_hidden(sK352(X0,X1),X1) ),
inference(cnf_transformation,[],[f10747]) ).
tcf(c_1795,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK352(X0,X1),X0)
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f10746]) ).
tcf(c_1796,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_xcmplx_0(sK352(X0,X1))
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f10745]) ).
tcf(c_1798,plain,
! [X0: $i] :
( ( X0 = k2_numbers )
| ~ v1_membered(X0)
| ~ r2_hidden(sK353(X0),X0) ),
inference(cnf_transformation,[],[f10749]) ).
tcf(c_1799,plain,
! [X0: $i] :
( v1_xcmplx_0(sK353(X0))
| ( X0 = k2_numbers )
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f10748]) ).
tcf(c_1800,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK354(X0))
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f10751]) ).
tcf(c_1801,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK354(X0),X0)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f10750]) ).
tcf(c_1802,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_xcmplx_0(sK355(X0)) ),
inference(cnf_transformation,[],[f10754]) ).
tcf(c_1803,plain,
! [X0: $i] :
( v1_membered(X0)
| r2_hidden(sK355(X0),X0) ),
inference(cnf_transformation,[],[f10753]) ).
tcf(c_1804,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10752]) ).
tcf(c_1805,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v1_xcmplx_0(X0) ),
inference(cnf_transformation,[],[f11948]) ).
tcf(c_1806,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f10757]) ).
tcf(c_1807,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f10756]) ).
tcf(c_1808,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f10758]) ).
tcf(c_1809,plain,
v1_xcmplx_0(sK356),
inference(cnf_transformation,[],[f10760]) ).
tcf(c_1810,plain,
v1_xreal_0(sK356),
inference(cnf_transformation,[],[f10759]) ).
tcf(c_1811,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f10761]) ).
tcf(c_1812,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,X0,X0) = k6_group_1(X1,np__2,X0) )
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10762]) ).
tcf(c_1813,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k1_funct_1(X0,np__1),k1_funct_1(X0,np__2)) = k9_rlvect_1(X1,X0) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(k1_funct_1(X0,np__2),u1_struct_0(X1))
| ~ m1_subset_1(k1_funct_1(X0,np__1),u1_struct_0(X1))
| ( k3_finseq_1(X0) != np__2 ) ),
inference(cnf_transformation,[],[f12240]) ).
tcf(c_1814,plain,
! [X0: $i] :
( r2_hidden(np__1,X0)
| ~ v1_card_1(X0)
| ~ r1_tarski(np__2,X0) ),
inference(cnf_transformation,[],[f10765]) ).
tcf(c_1815,plain,
! [X0: $i] :
( r1_tarski(np__2,X0)
| ~ v1_card_1(X0)
| ~ r2_hidden(np__1,X0) ),
inference(cnf_transformation,[],[f10764]) ).
tcf(c_1816,plain,
! [X0: $i] :
( v1_realset1(X0)
| r1_xreal_0(np__2,k4_card_1(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f10767]) ).
tcf(c_1817,plain,
! [X0: $i] :
( ~ v1_finset_1(X0)
| ~ v1_realset1(X0)
| ~ r1_xreal_0(np__2,k4_card_1(X0)) ),
inference(cnf_transformation,[],[f10766]) ).
tcf(c_1818,plain,
! [X0: $i,X1: $i] :
( ( k7_finseq_1(k7_finseq_1(k9_finseq_1(k2_tarski(k2_tarski(np__2,np__0),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(cnf_transformation,[],[f11949]) ).
tcf(c_1819,plain,
k2_finseq_1(np__0) = np__0,
inference(cnf_transformation,[],[f11950]) ).
tcf(c_1820,plain,
k2_tarski(np__1,np__1) = k2_finseq_1(np__1),
inference(cnf_transformation,[],[f11951]) ).
tcf(c_1821,plain,
k2_tarski(np__1,np__2) = k2_finseq_1(np__2),
inference(cnf_transformation,[],[f10769]) ).
tcf(c_1822,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m2_filter_1(sK357(X1,X0),X1,X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f10772]) ).
tcf(c_1823,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| v1_funct_1(X0)
| ~ v1_relat_1(X2)
| ~ m2_filter_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10775]) ).
tcf(c_1824,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,[],[f10774]) ).
tcf(c_1825,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,[],[f10773]) ).
tcf(c_1826,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,X3),k4_filter_1(X1,X0,X2))
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ r6_binop_1(X1,X3,X2)
| ~ m2_filter_1(X3,X1,X0)
| ~ m2_filter_1(X2,X1,X0)
| ~ v1_partfun1(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f10776]) ).
tcf(c_1827,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)
| ~ v1_partfun1(X0,X1,X1)
| ~ r3_binop_1(X1,X2,X3)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f10777]) ).
tcf(c_1828,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,[],[f10778]) ).
tcf(c_1829,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,[],[f10779]) ).
tcf(c_1830,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,X4),k2_filter_1(X1,X0,X3)) = k2_filter_1(X1,X0,k2_binop_1(X1,X1,X1,X2,X4,X3)) )
| ~ 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,[],[f10780]) ).
tcf(c_1831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X0)
| ( k4_filter_1(X0,X1,X2) = X3 )
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m2_filter_1(X2,X0,X1)
| ~ v1_partfun1(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ( k6_eqrel_1(X0,X1,k1_binop_1(X2,sK360(X0,X1,X2,X3),sK361(X0,X1,X2,X3))) != k1_binop_1(X3,sK358(X0,X1,X2,X3),sK359(X0,X1,X2,X3)) ) ),
inference(cnf_transformation,[],[f10786]) ).
tcf(c_1832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| r2_hidden(sK358(X1,X2,X3,X0),k8_eqrel_1(X1,X2))
| ( k4_filter_1(X1,X2,X3) = X0 )
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_filter_1(X3,X1,X2)
| ~ v1_partfun1(X2,X1,X1)
| ~ m2_relset_1(X2,X1,X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2))
| ~ v1_funct_2(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2)) ),
inference(cnf_transformation,[],[f10785]) ).
tcf(c_1833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| r2_hidden(sK359(X1,X2,X3,X0),k8_eqrel_1(X1,X2))
| ( k4_filter_1(X1,X2,X3) = X0 )
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_filter_1(X3,X1,X2)
| ~ v1_partfun1(X2,X1,X1)
| ~ m2_relset_1(X2,X1,X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2))
| ~ v1_funct_2(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2)) ),
inference(cnf_transformation,[],[f10784]) ).
tcf(c_1834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| r2_hidden(sK360(X1,X2,X3,X0),sK358(X1,X2,X3,X0))
| ( k4_filter_1(X1,X2,X3) = X0 )
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_filter_1(X3,X1,X2)
| ~ v1_partfun1(X2,X1,X1)
| ~ m2_relset_1(X2,X1,X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2))
| ~ v1_funct_2(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2)) ),
inference(cnf_transformation,[],[f10783]) ).
tcf(c_1835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| r2_hidden(sK361(X1,X2,X3,X0),sK359(X1,X2,X3,X0))
| ( k4_filter_1(X1,X2,X3) = X0 )
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_filter_1(X3,X1,X2)
| ~ v1_partfun1(X2,X1,X1)
| ~ m2_relset_1(X2,X1,X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2))
| ~ v1_funct_2(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2)) ),
inference(cnf_transformation,[],[f10782]) ).
tcf(c_1836,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),X4,X3) = 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,X3)
| ~ r2_hidden(X5,X4)
| ~ m2_filter_1(X2,X0,X1)
| ~ v1_partfun1(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ r2_hidden(X4,k8_eqrel_1(X0,X1))
| ~ r2_hidden(X3,k8_eqrel_1(X0,X1))
| ~ v1_funct_1(k4_filter_1(X0,X1,X2))
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k4_filter_1(X0,X1,X2),k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_2(k4_filter_1(X0,X1,X2),k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1)) ),
inference(cnf_transformation,[],[f12241]) ).
tcf(c_1837,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,[],[f10788]) ).
tcf(c_1838,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,[],[f10787]) ).
tcf(c_1839,plain,
l1_rlvect_1(sK362),
inference(cnf_transformation,[],[f10789]) ).
tcf(c_1840,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,[],[f10790]) ).
tcf(c_1841,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,[],[f10791]) ).
tcf(c_1843,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,[],[f10792]) ).
tcf(c_1844,plain,
! [X0: $i] :
( sP16(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10800]) ).
tcf(c_1845,plain,
! [X0: $i] :
( ~ sP16(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f10799]) ).
tcf(c_1846,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f10798]) ).
tcf(c_1847,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f10797]) ).
tcf(c_1848,plain,
! [X0: $i] :
( v5_rlvect_1(X0)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f10796]) ).
tcf(c_1849,plain,
! [X0: $i] :
( v6_rlvect_1(X0)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f10795]) ).
tcf(c_1850,plain,
! [X0: $i] :
( l1_rlvect_1(X0)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f10794]) ).
tcf(c_1860,plain,
! [X0: $i] :
( sP15(X0)
| v3_struct_0(X0)
| ~ sP16(X0)
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10811]) ).
tcf(c_1861,plain,
! [X0: $i] :
( sP16(X0)
| v3_struct_0(X0)
| ~ sP15(X0)
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10810]) ).
tcf(c_1862,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,[],[f10812]) ).
tcf(c_1863,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,[],[f10813]) ).
tcf(c_1864,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,[],[f10815]) ).
tcf(c_1865,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,[],[f10814]) ).
tcf(c_1866,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,[],[f10817]) ).
tcf(c_1867,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,[],[f10816]) ).
tcf(c_1868,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK367(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,[],[f10819]) ).
tcf(c_1869,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,sK367(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,[],[f10818]) ).
tcf(c_1870,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,[],[f10820]) ).
tcf(c_1871,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,[],[f10822]) ).
tcf(c_1872,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,[],[f10821]) ).
tcf(c_1873,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,[],[f10824]) ).
tcf(c_1875,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,k1_rlvect_1(X1)) = X0 )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10826]) ).
tcf(c_1876,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,[],[f10825]) ).
tcf(c_1877,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,sK368(X0),X1) != k1_rlvect_1(X0) ) ),
inference(cnf_transformation,[],[f10830]) ).
tcf(c_1878,plain,
! [X0: $i] :
( v6_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK368(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10829]) ).
tcf(c_1879,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK369(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,[],[f10828]) ).
tcf(c_1880,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,sK369(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,[],[f10827]) ).
tcf(c_1881,plain,
! [X0: $i] :
( v5_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_rlvect_1(X0)
| ( k2_rlvect_1(X0,sK370(X0),k1_rlvect_1(X0)) != sK370(X0) ) ),
inference(cnf_transformation,[],[f10833]) ).
tcf(c_1882,plain,
! [X0: $i] :
( v5_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK370(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10832]) ).
tcf(c_1883,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,[],[f10831]) ).
tcf(c_1884,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_rlvect_1(X0)
| ( k2_rlvect_1(X0,k2_rlvect_1(X0,sK371(X0),sK372(X0)),sK373(X0)) != k2_rlvect_1(X0,sK371(X0),k2_rlvect_1(X0,sK372(X0),sK373(X0))) ) ),
inference(cnf_transformation,[],[f10838]) ).
tcf(c_1885,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK373(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10837]) ).
tcf(c_1886,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK372(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10836]) ).
tcf(c_1887,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK371(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10835]) ).
tcf(c_1888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k2_rlvect_1(X1,X0,X2),X3) = k2_rlvect_1(X1,X0,k2_rlvect_1(X1,X2,X3)) )
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10834]) ).
tcf(c_1889,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_rlvect_1(X0)
| ( k2_rlvect_1(X0,sK374(X0),sK375(X0)) != k2_rlvect_1(X0,sK375(X0),sK374(X0)) ) ),
inference(cnf_transformation,[],[f10842]) ).
tcf(c_1890,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK375(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10841]) ).
tcf(c_1891,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK374(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10840]) ).
tcf(c_1892,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,[],[f10839]) ).
tcf(c_1893,plain,
! [X0: $i] :
( v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10845]) ).
tcf(c_1894,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,[],[f10844]) ).
tcf(c_1895,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,[],[f10843]) ).
tcf(c_1896,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,[],[f10846]) ).
tcf(c_1897,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k3_funct_4(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10848]) ).
tcf(c_1898,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k3_funct_4(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10847]) ).
tcf(c_1900,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)
| ~ m2_relset_1(X4,k2_zfmisc_1(X5,X6),X7)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X5,X6),X7)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f10850]) ).
tcf(c_1903,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)
| ~ m2_relset_1(X4,k2_zfmisc_1(X5,X6),X7)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X5,X6),X7)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f11953]) ).
tcf(c_1905,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,[],[f10856]) ).
tcf(c_1906,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,[],[f10855]) ).
tcf(c_1907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k2_zfmisc_1(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X4)) = k1_relat_1(k3_funct_4(X2,X5)) )
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ( k2_zfmisc_1(X3,X4) != k1_relat_1(X5) )
| ( k2_zfmisc_1(X0,X1) != k1_relat_1(X2) ) ),
inference(cnf_transformation,[],[f10857]) ).
tcf(c_1908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r1_tarski(k1_relat_1(k3_funct_4(X0,X3)),k2_zfmisc_1(k2_zfmisc_1(X1,X4),k2_zfmisc_1(X2,X5)))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k1_relat_1(X3),k2_zfmisc_1(X4,X5))
| ~ r1_tarski(k1_relat_1(X0),k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f10858]) ).
tcf(c_1909,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(k3_funct_4(X0,X1)),k2_zfmisc_1(k2_relat_1(X0),k2_relat_1(X1)))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10859]) ).
tcf(c_1910,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_relat_1(X5)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))),k2_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,[],[f11955]) ).
tcf(c_1911,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_relat_1(X5)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)),k1_relat_1(X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f11956]) ).
tcf(c_1912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0)),k1_relat_1(X4))
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))),k2_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,[],[f11957]) ).
tcf(c_1913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,X3),k2_tarski(X1,X1)),k1_relat_1(X5))
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))),k2_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,[],[f11958]) ).
tcf(c_1922,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_funct_4(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP17(X0,X1,X2)
| ( k2_tarski(k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(sK385(X0,X1,X2),sK386(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2)))),k1_funct_1(X1,k2_tarski(k2_tarski(sK387(X0,X1,X2),sK388(X0,X1,X2)),k2_tarski(sK387(X0,X1,X2),sK387(X0,X1,X2))))),k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(sK385(X0,X1,X2),sK386(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2)))),k1_funct_1(X0,k2_tarski(k2_tarski(sK385(X0,X1,X2),sK386(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2)))))) != k1_funct_1(X2,k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK385(X0,X1,X2),sK387(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2))),k2_tarski(k2_tarski(sK386(X0,X1,X2),sK388(X0,X1,X2)),k2_tarski(sK386(X0,X1,X2),sK386(X0,X1,X2)))),k2_tarski(k2_tarski(k2_tarski(sK385(X0,X1,X2),sK387(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2))),k2_tarski(k2_tarski(sK385(X0,X1,X2),sK387(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2)))))) ) ),
inference(cnf_transformation,[],[f11967]) ).
tcf(c_1923,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK385(X0,X1,X2),sK386(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2))),k1_relat_1(X0))
| ( k3_funct_4(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f11968]) ).
tcf(c_1924,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK387(X0,X1,X2),sK388(X0,X1,X2)),k2_tarski(sK387(X0,X1,X2),sK387(X0,X1,X2))),k1_relat_1(X1))
| ( k3_funct_4(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f11969]) ).
tcf(c_1925,plain,
! [X0: $i,X1: $i] :
( sP17(X0,X1,k3_funct_4(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(k3_funct_4(X0,X1))
| ~ v1_funct_1(k3_funct_4(X0,X1)) ),
inference(cnf_transformation,[],[f12245]) ).
tcf(c_1926,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_relat_1(X5)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(k3_funct_4(X2,X5))
| ~ v1_funct_1(k3_funct_4(X2,X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X4),k2_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,[],[f12246]) ).
tcf(c_1927,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),sK389(X0,X1,X2)),k4_filter_1(u1_struct_0(X0),sK389(X0,X1,X2),u2_lattices(X0)),k4_filter_1(u1_struct_0(X0),sK389(X0,X1,X2),u1_lattices(X0))) != X2 ) ),
inference(cnf_transformation,[],[f12312]) ).
tcf(c_1928,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k5_filter_1(X1,X0) = X2 )
| ( sK389(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,[],[f12313]) ).
tcf(c_1929,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v3_relat_2(sK389(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,[],[f12314]) ).
tcf(c_1930,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v8_relat_2(sK389(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,[],[f12315]) ).
tcf(c_1931,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_partfun1(sK389(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,[],[f12316]) ).
tcf(c_1932,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m2_relset_1(sK389(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,[],[f12317]) ).
tcf(c_1933,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,[],[f12318]) ).
tcf(c_1934,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) = k1_lattice2(X0) )
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f10884]) ).
tcf(c_1935,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,[],[f10887]) ).
tcf(c_1936,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,[],[f10886]) ).
tcf(c_1937,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,[],[f10885]) ).
tcf(c_1938,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,[],[f10889]) ).
tcf(c_1939,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,[],[f10888]) ).
tcf(c_1940,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,[],[f10890]) ).
tcf(c_1941,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,[],[f10892]) ).
tcf(c_1944,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,[],[f10893]) ).
tcf(c_1945,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,[],[f10895]) ).
tcf(c_1946,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,[],[f10898]) ).
tcf(c_1947,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,[],[f10897]) ).
tcf(c_1948,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,[],[f10896]) ).
tcf(c_1949,plain,
! [X0: $i,X1: $i] :
( sP18(X0,X1)
| v3_struct_0(k8_filter_1(X0,X1))
| ~ sP19(X1,X0)
| ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v17_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10903]) ).
tcf(c_1950,plain,
! [X0: $i,X1: $i] :
( ~ sP19(X1,X0)
| ~ sP18(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10902]) ).
tcf(c_1951,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP19(X1,X0)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f10901]) ).
tcf(c_1952,plain,
! [X0: $i,X1: $i] :
( v17_lattices(k8_filter_1(X0,X1))
| ~ sP19(X1,X0)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f10900]) ).
tcf(c_1953,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP19(X1,X0)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f10899]) ).
tcf(c_1963,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP19(X1,X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10913]) ).
tcf(c_1967,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,[],[f10919]) ).
tcf(c_1968,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,[],[f10918]) ).
tcf(c_1969,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,[],[f10917]) ).
tcf(c_1970,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,[],[f10922]) ).
tcf(c_1971,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,[],[f10921]) ).
tcf(c_1972,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,[],[f10920]) ).
tcf(c_1973,plain,
! [X0: $i,X1: $i] :
( sP20(X0,X1)
| v3_struct_0(k8_filter_1(X0,X1))
| ~ sP21(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,[],[f10927]) ).
tcf(c_1974,plain,
! [X0: $i,X1: $i] :
( ~ sP21(X1,X0)
| ~ sP20(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10926]) ).
tcf(c_1975,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP21(X1,X0)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f10925]) ).
tcf(c_1976,plain,
! [X0: $i,X1: $i] :
( v11_lattices(k8_filter_1(X0,X1))
| ~ sP21(X1,X0)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f10924]) ).
tcf(c_1977,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP21(X1,X0)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f10923]) ).
tcf(c_1987,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP21(X1,X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10937]) ).
tcf(c_1988,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,[],[f10942]) ).
tcf(c_1989,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,[],[f10939]) ).
tcf(c_1990,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,[],[f10945]) ).
tcf(c_1991,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,[],[f10944]) ).
tcf(c_1993,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,[],[f10947]) ).
tcf(c_1994,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,[],[f10948]) ).
tcf(c_1995,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,[],[f12319]) ).
tcf(c_1996,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,[],[f10950]) ).
tcf(c_1997,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,[],[f12320]) ).
tcf(c_1998,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,[],[f10952]) ).
tcf(c_1999,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| r6_binop_1(X0,X2,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_binop_1(X2,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK390(X0,X1,X2),sK392(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK391(X0,X1,X2),sK392(X0,X1,X2))) != k2_binop_1(X0,X0,X0,X2,k2_binop_1(X0,X0,X0,X1,sK390(X0,X1,X2),sK391(X0,X1,X2)),sK392(X0,X1,X2)) ) ),
inference(cnf_transformation,[],[f10957]) ).
tcf(c_2000,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK392(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10956]) ).
tcf(c_2001,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK391(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10955]) ).
tcf(c_2002,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK390(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10954]) ).
tcf(c_2003,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,X4,X5)) = k2_binop_1(X1,X1,X1,X2,k2_binop_1(X1,X1,X1,X0,X3,X4),X5) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,X1)
| ~ r6_binop_1(X1,X2,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10953]) ).
tcf(c_2004,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| r6_binop_1(X0,X2,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_binop_1(X2,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK393(X0,X1,X2),sK394(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK393(X0,X1,X2),sK395(X0,X1,X2))) != k2_binop_1(X0,X0,X0,X2,sK393(X0,X1,X2),k2_binop_1(X0,X0,X0,X1,sK394(X0,X1,X2),sK395(X0,X1,X2))) ) ),
inference(cnf_transformation,[],[f10962]) ).
tcf(c_2005,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK395(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10961]) ).
tcf(c_2006,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK394(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10960]) ).
tcf(c_2007,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK393(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10959]) ).
tcf(c_2008,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,X3,X5)) = k2_binop_1(X1,X1,X1,X2,X3,k2_binop_1(X1,X1,X1,X0,X4,X5)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,X1)
| ~ r6_binop_1(X1,X2,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10958]) ).
tcf(c_2009,plain,
! [X0: $i] :
( m1_subset_1(k2_finseq_1(X0),k1_zfmisc_1(k5_numbers))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f10963]) ).
tcf(c_2010,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m2_finseq_1(sK396(X0,X1),X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f10965]) ).
tcf(c_2011,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ( k3_finseq_1(sK396(X0,X1)) = X0 )
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f10964]) ).
tcf(c_2012,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,[],[f10966]) ).
tcf(c_2013,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_finseq_1(X0)
| ~ v4_ordinal2(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10969]) ).
tcf(c_2014,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_finseq_1(X0)
| ~ v4_ordinal2(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10968]) ).
tcf(c_2015,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_finseq_1(X0)
| ~ v4_ordinal2(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10967]) ).
tcf(c_2016,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ( k2_finseq_1(X0) != k2_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f10970]) ).
tcf(c_2017,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,[],[f10972]) ).
tcf(c_2018,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,[],[f10971]) ).
tcf(c_2019,plain,
! [X0: $i] :
( r2_hidden(X0,k2_finseq_1(X0))
| ( X0 = np__0 )
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f10973]) ).
tcf(c_2020,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,[],[f10976]) ).
tcf(c_2021,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,[],[f10975]) ).
tcf(c_2022,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,[],[f10974]) ).
tcf(c_2023,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK397(X0,X1),X0)
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f10980]) ).
tcf(c_2024,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK397(X0,X1),X1)
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f10979]) ).
tcf(c_2025,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v4_ordinal2(sK397(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f10978]) ).
tcf(c_2027,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v5_membered(X1)
| ~ v5_membered(X0)
| ~ r2_hidden(sK398(X0,X1),X1)
| ~ r2_hidden(sK398(X0,X1),X0) ),
inference(cnf_transformation,[],[f10985]) ).
tcf(c_2028,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK398(X0,X1),X1)
| r2_hidden(sK398(X0,X1),X0)
| ( X0 = X1 )
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f10984]) ).
tcf(c_2029,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(sK398(X0,X1))
| ( X0 = X1 )
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f10983]) ).
tcf(c_2032,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v5_membered(X1)
| ~ v5_membered(X0)
| ~ r2_hidden(sK399(X0,X1),X1) ),
inference(cnf_transformation,[],[f10989]) ).
tcf(c_2033,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK399(X0,X1),X0)
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f10988]) ).
tcf(c_2034,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v4_ordinal2(sK399(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f10987]) ).
tcf(c_2036,plain,
! [X0: $i] :
( ( X0 = k5_numbers )
| ~ v5_membered(X0)
| ~ r2_hidden(sK400(X0),X0) ),
inference(cnf_transformation,[],[f10991]) ).
tcf(c_2037,plain,
! [X0: $i] :
( v4_ordinal2(sK400(X0))
| ( X0 = k5_numbers )
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f10990]) ).
tcf(c_2038,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK401(X0))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f10993]) ).
tcf(c_2039,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK401(X0),X0)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f10992]) ).
tcf(c_2040,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v4_ordinal2(sK402(X0)) ),
inference(cnf_transformation,[],[f10996]) ).
tcf(c_2041,plain,
! [X0: $i] :
( v5_membered(X0)
| r2_hidden(sK402(X0),X0) ),
inference(cnf_transformation,[],[f10995]) ).
tcf(c_2042,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10994]) ).
tcf(c_2043,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k1_enumset1(X0,X1,X2))
| ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11000]) ).
tcf(c_2044,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k1_enumset1(X0,X1,X2))
| ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f10999]) ).
tcf(c_2045,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k1_enumset1(X0,X1,X2))
| ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f10998]) ).
tcf(c_2046,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k1_enumset1(X0,X1,X2))
| ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f10997]) ).
tcf(c_2047,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X1))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11004]) ).
tcf(c_2048,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X1))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11003]) ).
tcf(c_2049,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X0,X1))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11002]) ).
tcf(c_2050,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_tarski(X0,X1))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11001]) ).
tcf(c_2051,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11971]) ).
tcf(c_2052,plain,
! [X0: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11972]) ).
tcf(c_2053,plain,
! [X0: $i] :
( v3_membered(k2_tarski(X0,X0))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11973]) ).
tcf(c_2054,plain,
! [X0: $i] :
( v5_membered(k2_tarski(X0,X0))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11974]) ).
tcf(c_2055,plain,
! [X0: $i] :
( v1_int_1(X0)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11009]) ).
tcf(c_2056,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11010]) ).
tcf(c_2057,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,[],[f12251]) ).
tcf(c_2058,plain,
! [X0: $i] :
( r2_wellord2(X0,k2_finseq_1(sK403(X0)))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11013]) ).
tcf(c_2059,plain,
! [X0: $i] :
( m2_subset_1(sK403(X0),k1_numbers,k5_numbers)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11012]) ).
tcf(c_2060,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,[],[f11014]) ).
tcf(c_2061,plain,
! [X0: $i] :
( r2_wellord2(k2_finseq_1(X0),X0)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f11015]) ).
tcf(c_2062,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,[],[f11016]) ).
tcf(c_2067,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_finseq_1(X0,X2) = X1 )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP22(X0,X1,X2)
| ( k1_funct_1(X0,sK405(X0,X1)) != k1_funct_1(X1,sK405(X0,X1)) )
| ( k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X2))) != k4_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f11026]) ).
tcf(c_2068,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK405(X0,X2),k4_finseq_1(X0))
| ( k7_finseq_1(X0,X1) = X2 )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP22(X0,X2,X1)
| ( k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) != k4_finseq_1(X2) ) ),
inference(cnf_transformation,[],[f11025]) ).
tcf(c_2069,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_subset_1(sK405(X0,X2),k1_numbers,k5_numbers)
| ( k7_finseq_1(X0,X1) = X2 )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP22(X0,X2,X1)
| ( k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) != k4_finseq_1(X2) ) ),
inference(cnf_transformation,[],[f11024]) ).
tcf(c_2070,plain,
! [X0: $i,X1: $i] :
( ( k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) = k4_finseq_1(k7_finseq_1(X0,X1)) )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_finseq_1(k7_finseq_1(X0,X1))
| ~ v1_relat_1(k7_finseq_1(X0,X1))
| ~ v1_funct_1(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f12252]) ).
tcf(c_2071,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_finseq_1(X0,X1),X2) = k1_funct_1(X0,X2) )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ~ v1_finseq_1(k7_finseq_1(X0,X1))
| ~ r2_hidden(X2,k4_finseq_1(X0))
| ~ v1_relat_1(k7_finseq_1(X0,X1))
| ~ v1_funct_1(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f12253]) ).
tcf(c_2072,plain,
! [X0: $i,X1: $i] :
( sP22(X0,k7_finseq_1(X0,X1),X1)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_finseq_1(k7_finseq_1(X0,X1))
| ~ v1_relat_1(k7_finseq_1(X0,X1))
| ~ v1_funct_1(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f12254]) ).
tcf(c_2073,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(k7_relat_1(X0,k2_finseq_1(X1))) = X1 )
| ~ v1_finseq_1(X0)
| ~ v4_ordinal2(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_xreal_0(X1,k3_finseq_1(X0))
| ~ v1_finseq_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_relat_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_funct_1(k7_relat_1(X0,k2_finseq_1(X1))) ),
inference(cnf_transformation,[],[f12255]) ).
tcf(c_2074,plain,
! [X0: $i,X1: $i] :
( ( k4_finseq_1(k7_relat_1(X0,k2_finseq_1(X1))) = k2_finseq_1(X1) )
| ~ v1_finseq_1(X0)
| ~ v4_ordinal2(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_xreal_0(X1,k3_finseq_1(X0))
| ~ v1_finseq_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_relat_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_funct_1(k7_relat_1(X0,k2_finseq_1(X1))) ),
inference(cnf_transformation,[],[f12256]) ).
tcf(c_2075,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK406(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f11032]) ).
tcf(c_2076,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK406(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f11031]) ).
tcf(c_2077,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK406(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f11030]) ).
tcf(c_2078,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(sK406(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f11029]) ).
tcf(c_2079,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(X0) = X1 )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ( k1_relat_1(X0) != k2_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f11034]) ).
tcf(c_2080,plain,
! [X0: $i] :
( ( k2_finseq_1(k3_finseq_1(X0)) = k1_relat_1(X0) )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_subset_1(k3_finseq_1(X0),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f12257]) ).
tcf(c_2081,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,[],[f11037]) ).
tcf(c_2082,plain,
! [X0: $i] :
( m2_subset_1(sK407(X0),k1_numbers,k5_numbers)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11036]) ).
tcf(c_2083,plain,
! [X0: $i] :
( ( k2_finseq_1(sK407(X0)) = k1_relat_1(X0) )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11035]) ).
tcf(c_2084,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,[],[f11038]) ).
tcf(c_2085,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,[],[f11039]) ).
tcf(c_2086,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xreal_0(X0,k3_finseq_1(X1))
| ( k1_funct_1(X2,k6_xcmplx_0(X0,k3_finseq_1(X1))) = k1_funct_1(k7_finseq_1(X1,X2),X0) )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v4_ordinal2(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r1_xreal_0(X0,k3_finseq_1(k7_finseq_1(X1,X2))) ),
inference(cnf_transformation,[],[f11040]) ).
tcf(c_2087,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X2,k6_xcmplx_0(X0,k3_finseq_1(X1))) = k1_funct_1(k7_finseq_1(X1,X2),X0) )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v4_ordinal2(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r1_xreal_0(k1_nat_1(k3_finseq_1(X1),np__1),X0)
| ~ r1_xreal_0(X0,k1_nat_1(k3_finseq_1(X1),k3_finseq_1(X2))) ),
inference(cnf_transformation,[],[f11041]) ).
tcf(c_2088,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,[],[f11042]) ).
tcf(c_2089,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X1,X0)
| ( k6_xcmplx_0(X1,X0) = sK408(X0,X1) )
| ~ v1_int_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f11045]) ).
tcf(c_2090,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X1,X0)
| r1_xreal_0(np__1,sK408(X0,X1))
| ~ v1_int_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f11044]) ).
tcf(c_2091,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X1,X0)
| m2_subset_1(sK408(X0,X1),k1_numbers,k5_numbers)
| ~ v1_int_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f11043]) ).
tcf(c_2092,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,[],[f11046]) ).
tcf(c_2093,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,[],[f11047]) ).
tcf(c_2094,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,[],[f11050]) ).
tcf(c_2095,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,[],[f11049]) ).
tcf(c_2096,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,[],[f11048]) ).
tcf(c_2097,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,[],[f11053]) ).
tcf(c_2098,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,[],[f11052]) ).
tcf(c_2099,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,[],[f11051]) ).
tcf(c_2100,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k6_xcmplx_0(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f11056]) ).
tcf(c_2101,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(k6_xcmplx_0(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f11055]) ).
tcf(c_2102,plain,
! [X0: $i,X1: $i] :
( v1_int_1(k6_xcmplx_0(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f11054]) ).
tcf(c_2103,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,[],[f11061]) ).
tcf(c_2106,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,[],[f11058]) ).
tcf(c_2107,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,[],[f11057]) ).
tcf(c_2108,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,[],[f11066]) ).
tcf(c_2111,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,[],[f11063]) ).
tcf(c_2112,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,[],[f11062]) ).
tcf(c_2113,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,[],[f11071]) ).
tcf(c_2116,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,[],[f11068]) ).
tcf(c_2117,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,[],[f11067]) ).
tcf(c_2118,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,[],[f11076]) ).
tcf(c_2121,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,[],[f11073]) ).
tcf(c_2122,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,[],[f11072]) ).
tcf(c_2125,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,[],[f11077]) ).
tcf(c_2128,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,[],[f11080]) ).
tcf(c_2129,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k6_xcmplx_0(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f11084]) ).
tcf(c_2130,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(k6_xcmplx_0(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f11083]) ).
tcf(c_2131,plain,
! [X0: $i] :
( v2_xreal_0(X0)
| r1_xreal_0(X0,np__0)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f11086]) ).
tcf(c_2132,plain,
! [X0: $i] :
( ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ r1_xreal_0(X0,np__0) ),
inference(cnf_transformation,[],[f11085]) ).
tcf(c_2133,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,[],[f11089]) ).
tcf(c_2134,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,[],[f11088]) ).
tcf(c_2135,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,[],[f11087]) ).
tcf(c_2136,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,[],[f11092]) ).
tcf(c_2137,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,[],[f11091]) ).
tcf(c_2138,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,[],[f11090]) ).
tcf(c_2139,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,[],[f11095]) ).
tcf(c_2140,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,[],[f11094]) ).
tcf(c_2141,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,[],[f11093]) ).
tcf(c_2142,plain,
v1_xboole_0(sK409),
inference(cnf_transformation,[],[f11100]) ).
tcf(c_2143,plain,
v1_xcmplx_0(sK409),
inference(cnf_transformation,[],[f11099]) ).
tcf(c_2144,plain,
v1_xreal_0(sK409),
inference(cnf_transformation,[],[f11098]) ).
tcf(c_2145,plain,
~ v2_xreal_0(sK409),
inference(cnf_transformation,[],[f11097]) ).
tcf(c_2146,plain,
~ v3_xreal_0(sK409),
inference(cnf_transformation,[],[f11096]) ).
tcf(c_2147,plain,
~ v1_xboole_0(sK410),
inference(cnf_transformation,[],[f11105]) ).
tcf(c_2148,plain,
v1_xcmplx_0(sK410),
inference(cnf_transformation,[],[f11104]) ).
tcf(c_2149,plain,
v1_xreal_0(sK410),
inference(cnf_transformation,[],[f11103]) ).
tcf(c_2150,plain,
~ v2_xreal_0(sK410),
inference(cnf_transformation,[],[f11102]) ).
tcf(c_2151,plain,
v3_xreal_0(sK410),
inference(cnf_transformation,[],[f11101]) ).
tcf(c_2152,plain,
~ v1_xboole_0(sK411),
inference(cnf_transformation,[],[f11110]) ).
tcf(c_2153,plain,
v1_xcmplx_0(sK411),
inference(cnf_transformation,[],[f11109]) ).
tcf(c_2154,plain,
v1_xreal_0(sK411),
inference(cnf_transformation,[],[f11108]) ).
tcf(c_2155,plain,
v2_xreal_0(sK411),
inference(cnf_transformation,[],[f11107]) ).
tcf(c_2156,plain,
~ v3_xreal_0(sK411),
inference(cnf_transformation,[],[f11106]) ).
tcf(c_2164,plain,
! [X0: $i] :
( ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11124]) ).
tcf(c_2168,plain,
! [X0: $i] :
( v2_xreal_0(X0)
| v3_xreal_0(X0)
| v1_xboole_0(X0)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f11125]) ).
tcf(c_2169,plain,
! [X0: $i] :
( ~ v2_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11131]) ).
tcf(c_2171,plain,
! [X0: $i] :
( ~ v2_xreal_0(X0)
| ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f11128]) ).
tcf(c_2174,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f11135]) ).
tcf(c_2182,plain,
! [X0: $i] :
( v1_card_1(X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f11138]) ).
tcf(c_2183,plain,
! [X0: $i] :
( v4_ordinal2(X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f11147]) ).
tcf(c_2184,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f11146]) ).
tcf(c_2185,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f11145]) ).
tcf(c_2186,plain,
! [X0: $i] :
( ~ v3_xreal_0(X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f11144]) ).
tcf(c_2187,plain,
! [X0: $i] :
( v1_int_1(X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f11143]) ).
tcf(c_2188,plain,
! [X0: $i] :
( v3_xreal_0(X0)
| r1_xreal_0(np__0,X0)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f11149]) ).
tcf(c_2189,plain,
! [X0: $i] :
( ~ v3_xreal_0(X0)
| ~ v1_xreal_0(X0)
| ~ r1_xreal_0(np__0,X0) ),
inference(cnf_transformation,[],[f11148]) ).
tcf(c_2190,plain,
! [X0: $i] :
( ( k1_card_1(X0) = k3_finseq_1(X0) )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11150]) ).
tcf(c_2191,plain,
! [X0: $i] :
( m2_subset_1(k3_finseq_1(X0),k1_numbers,k5_numbers)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11151]) ).
tcf(c_2192,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(X0)
| ~ m2_finseq_1(X0,X1) ),
inference(cnf_transformation,[],[f11154]) ).
tcf(c_2193,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(X0)
| ~ m2_finseq_1(X0,X1) ),
inference(cnf_transformation,[],[f11153]) ).
tcf(c_2194,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(X0,k5_numbers,X1)
| ~ m2_finseq_1(X0,X1) ),
inference(cnf_transformation,[],[f11152]) ).
tcf(c_2195,plain,
! [X0: $i] :
( v1_finset_1(k2_relat_1(X0))
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12258]) ).
tcf(c_2196,plain,
! [X0: $i] :
( v1_relat_1(sK412(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11158]) ).
tcf(c_2197,plain,
! [X0: $i] :
( v1_funct_1(sK412(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11157]) ).
tcf(c_2198,plain,
! [X0: $i] :
( v1_finseq_1(sK412(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11156]) ).
tcf(c_2199,plain,
! [X0: $i] :
( ( k2_relat_1(sK412(X0)) = X0 )
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11155]) ).
tcf(c_2202,plain,
( ( k3_finseq_1(np__0) = np__0 )
| ~ v1_finseq_1(np__0)
| ~ v1_relat_1(np__0)
| ~ v1_funct_1(np__0) ),
inference(cnf_transformation,[],[f12260]) ).
tcf(c_2203,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k3_finseq_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f11978]) ).
tcf(c_2204,plain,
v1_relat_1(np__0),
inference(cnf_transformation,[],[f11979]) ).
tcf(c_2205,plain,
v1_funct_1(np__0),
inference(cnf_transformation,[],[f11980]) ).
tcf(c_2206,plain,
v1_finseq_1(np__0),
inference(cnf_transformation,[],[f11981]) ).
tcf(c_2207,plain,
~ v1_xboole_0(sK413),
inference(cnf_transformation,[],[f11171]) ).
tcf(c_2208,plain,
v1_relat_1(sK413),
inference(cnf_transformation,[],[f11170]) ).
tcf(c_2209,plain,
v1_funct_1(sK413),
inference(cnf_transformation,[],[f11169]) ).
tcf(c_2210,plain,
v1_finset_1(sK413),
inference(cnf_transformation,[],[f11168]) ).
tcf(c_2211,plain,
v1_finseq_1(sK413),
inference(cnf_transformation,[],[f11167]) ).
tcf(c_2212,plain,
! [X0: $i] : m1_relset_1(sK414(X0),k5_numbers,X0),
inference(cnf_transformation,[],[f11176]) ).
tcf(c_2213,plain,
! [X0: $i] : v1_relat_1(sK414(X0)),
inference(cnf_transformation,[],[f11175]) ).
tcf(c_2214,plain,
! [X0: $i] : v1_funct_1(sK414(X0)),
inference(cnf_transformation,[],[f11174]) ).
tcf(c_2215,plain,
! [X0: $i] : v1_finset_1(sK414(X0)),
inference(cnf_transformation,[],[f11173]) ).
tcf(c_2216,plain,
! [X0: $i] : v1_finseq_1(sK414(X0)),
inference(cnf_transformation,[],[f11172]) ).
tcf(c_2217,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11177]) ).
tcf(c_2218,plain,
v1_relat_1(sK415),
inference(cnf_transformation,[],[f11182]) ).
tcf(c_2219,plain,
v1_funct_1(sK415),
inference(cnf_transformation,[],[f11181]) ).
tcf(c_2220,plain,
v1_finseq_1(sK415),
inference(cnf_transformation,[],[f11180]) ).
tcf(c_2223,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k7_relat_1(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11183]) ).
tcf(c_2224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X3)
| ( k8_funct_2(X3,X4,X0,X5) = k8_funct_2(X3,X4,X2,X5) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X5,X1)
| ~ m1_subset_1(X5,X3)
| ~ m2_relset_1(X2,X3,X4)
| ~ m2_relset_1(X0,X3,X4)
| ~ v1_funct_2(X2,X3,X4)
| ~ v1_funct_2(X0,X3,X4)
| ( k7_relat_1(X0,X1) != k7_relat_1(X2,X1) ) ),
inference(cnf_transformation,[],[f11186]) ).
tcf(c_2225,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,[],[f11982]) ).
tcf(c_2230,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X1,X0),k2_relat_1(k7_relat_1(X1,X2)))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f11192]) ).
tcf(c_2231,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_relat_1(X2,X1),X0) = k1_funct_1(X2,X0) )
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11193]) ).
tcf(c_2232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_relat_1(X1,X2),X0) = k1_funct_1(X1,X0) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k4_xboole_0(k1_relat_1(X1),k4_xboole_0(k1_relat_1(X1),X2))) ),
inference(cnf_transformation,[],[f11983]) ).
tcf(c_2233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_relat_1(X1,X2),X0) = k1_funct_1(X1,X0) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k7_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f11195]) ).
tcf(c_2234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(X1,X2) = X0 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_funct_1(X0,sK416(X0,X1)) != k1_funct_1(X1,sK416(X0,X1)) )
| ( k4_xboole_0(k1_relat_1(X1),k4_xboole_0(k1_relat_1(X1),X2)) != k1_relat_1(X0) ) ),
inference(cnf_transformation,[],[f11984]) ).
tcf(c_2235,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK416(X2,X0),k1_relat_1(X2))
| ( k7_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ( k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),X1)) != k1_relat_1(X2) ) ),
inference(cnf_transformation,[],[f11985]) ).
tcf(c_2239,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11200]) ).
tcf(c_2240,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11202]) ).
tcf(c_2241,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,[],[f11203]) ).
tcf(c_2242,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,[],[f11204]) ).
tcf(c_2243,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,[],[f11987]) ).
tcf(c_2244,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,[],[f11206]) ).
tcf(c_2245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k7_relat_1(X0,k2_xboole_0(X3,X1)) = k7_relat_1(X2,k2_xboole_0(X3,X1)) )
| ~ 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,[],[f11207]) ).
tcf(c_2246,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,[],[f11208]) ).
tcf(c_2247,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,[],[f11209]) ).
tcf(c_2248,plain,
! [X0: $i] : k7_relat_1(np__0,X0) = np__0,
inference(cnf_transformation,[],[f11988]) ).
tcf(c_2249,plain,
! [X0: $i] :
( ( k7_relat_1(X0,np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11989]) ).
tcf(c_2250,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,[],[f11212]) ).
tcf(c_2251,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,[],[f11990]) ).
tcf(c_2252,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,[],[f11214]) ).
tcf(c_2253,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,[],[f11215]) ).
tcf(c_2254,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,[],[f11216]) ).
tcf(c_2255,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,[],[f11217]) ).
tcf(c_2256,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,[],[f11218]) ).
tcf(c_2257,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,[],[f11219]) ).
tcf(c_2258,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,[],[f11220]) ).
tcf(c_2259,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,[],[f11991]) ).
tcf(c_2260,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,[],[f11222]) ).
tcf(c_2261,plain,
! [X0: $i] :
( ( k7_relat_1(X0,k1_relat_1(X0)) = X0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11223]) ).
tcf(c_2262,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,[],[f11224]) ).
tcf(c_2263,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,[],[f11992]) ).
tcf(c_2264,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,[],[f11993]) ).
tcf(c_2265,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,[],[f11994]) ).
tcf(c_2266,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,[],[f11228]) ).
tcf(c_2267,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,[],[f11995]) ).
tcf(c_2268,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,[],[f11230]) ).
tcf(c_2269,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k7_relat_1(X0,X1),X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11231]) ).
tcf(c_2270,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(k7_relat_1(X0,X1)),X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11232]) ).
tcf(c_2271,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,[],[f11235]) ).
tcf(c_2272,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,[],[f11234]) ).
tcf(c_2273,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,[],[f11233]) ).
tcf(c_2274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK417(X0,X1,X2),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK417(X0,X1,X2),sK418(X0,X1,X2)),k2_tarski(sK417(X0,X1,X2),sK417(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK417(X0,X1,X2),sK418(X0,X1,X2)),k2_tarski(sK417(X0,X1,X2),sK417(X0,X1,X2))),X0) ),
inference(cnf_transformation,[],[f11996]) ).
tcf(c_2275,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK417(X0,X2,X1),X2)
| r2_hidden(k2_tarski(k2_tarski(sK417(X0,X2,X1),sK418(X0,X2,X1)),k2_tarski(sK417(X0,X2,X1),sK417(X0,X2,X1))),X1)
| ( k7_relat_1(X0,X2) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11997]) ).
tcf(c_2276,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK417(X0,X2,X1),sK418(X0,X2,X1)),k2_tarski(sK417(X0,X2,X1),sK417(X0,X2,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK417(X0,X2,X1),sK418(X0,X2,X1)),k2_tarski(sK417(X0,X2,X1),sK417(X0,X2,X1))),X0)
| ( k7_relat_1(X0,X2) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11998]) ).
tcf(c_2277,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,[],[f12263]) ).
tcf(c_2278,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,[],[f12264]) ).
tcf(c_2279,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,[],[f12265]) ).
tcf(c_2280,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(X1,X0),X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r1_tarski(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f11242]) ).
tcf(c_2281,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k10_relat_1(X0,X1))
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11243]) ).
tcf(c_2282,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k9_relat_1(X0,k4_xboole_0(X1,k10_relat_1(X0,X2))) = k4_xboole_0(k9_relat_1(X0,X1),X2) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11244]) ).
tcf(c_2283,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_finset_1(k10_relat_1(X1,X0))
| ~ r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f11245]) ).
tcf(c_2284,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,[],[f11246]) ).
tcf(c_2285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X1,k10_relat_1(X0,X2))
| ( X4 = np__0 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X1,X3)
| ~ m2_relset_1(X0,X3,X4)
| ~ v1_funct_2(X0,X3,X4)
| ~ r2_hidden(k1_funct_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f12002]) ).
tcf(c_2286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X0,X3)
| ( X4 = np__0 )
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X3,X4)
| ~ v1_funct_2(X1,X3,X4)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12003]) ).
tcf(c_2287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(k1_funct_1(X1,X0),X2)
| ( X4 = np__0 )
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X3,X4)
| ~ v1_funct_2(X1,X3,X4)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12004]) ).
tcf(c_2288,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,[],[f12005]) ).
tcf(c_2289,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,[],[f12006]) ).
tcf(c_2290,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X2,k2_relat_1(X0))
| ~ r1_tarski(X1,k2_relat_1(X0))
| ( k10_relat_1(X0,X1) != k10_relat_1(X0,X2) ) ),
inference(cnf_transformation,[],[f11252]) ).
tcf(c_2291,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,k2_relat_1(X0))
| ~ r1_tarski(k10_relat_1(X0,X1),k10_relat_1(X0,X2)) ),
inference(cnf_transformation,[],[f11253]) ).
tcf(c_2292,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,[],[f12007]) ).
tcf(c_2293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k9_relat_1(X0,X1),k4_xboole_0(k9_relat_1(X0,X1),X2)) = k9_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,k10_relat_1(X0,X2)))) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12008]) ).
tcf(c_2294,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,k10_relat_1(X0,X2)))),k4_xboole_0(k9_relat_1(X0,X1),k4_xboole_0(k9_relat_1(X0,X1),X2)))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12009]) ).
tcf(c_2295,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X1,k4_xboole_0(X1,k9_relat_1(X0,k1_relat_1(X0)))) = k9_relat_1(X0,k10_relat_1(X0,X1)) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12010]) ).
tcf(c_2296,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(X1,k10_relat_1(X1,X0)) = X0 )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f11258]) ).
tcf(c_2297,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,[],[f11259]) ).
tcf(c_2298,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k9_relat_1(X0,k10_relat_1(X0,X1)),X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11260]) ).
tcf(c_2299,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k2_relat_1(X0))
| r2_hidden(sK419(X1,X0),X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11262]) ).
tcf(c_2300,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k2_relat_1(X0))
| ( k10_relat_1(X0,k2_tarski(sK419(X1,X0),sK419(X1,X0))) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12011]) ).
tcf(c_2301,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,[],[f12012]) ).
tcf(c_2302,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,[],[f12013]) ).
tcf(c_2303,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k10_relat_1(X0,X1),k10_relat_1(X0,X2)) = k10_relat_1(X0,k4_xboole_0(X1,X2)) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11265]) ).
tcf(c_2304,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k10_relat_1(X0,X1),k4_xboole_0(k10_relat_1(X0,X1),k10_relat_1(X0,X2))) = k10_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12014]) ).
tcf(c_2305,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k10_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(sK420(X0,X1,X2),X2)
| ~ r2_hidden(sK420(X0,X1,X2),k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,sK420(X0,X1,X2)),X1) ),
inference(cnf_transformation,[],[f11272]) ).
tcf(c_2306,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK420(X0,X1,X2),X2)
| r2_hidden(sK420(X0,X1,X2),k1_relat_1(X0))
| ( k10_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11271]) ).
tcf(c_2307,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK420(X0,X1,X2),X2)
| r2_hidden(k1_funct_1(X0,sK420(X0,X1,X2)),X1)
| ( k10_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11270]) ).
tcf(c_2308,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,k10_relat_1(X0,X2))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f12266]) ).
tcf(c_2309,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12267]) ).
tcf(c_2310,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X1,X0),X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12268]) ).
tcf(c_2311,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,[],[f11273]) ).
tcf(c_2312,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,[],[f11274]) ).
tcf(c_2313,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,[],[f11275]) ).
tcf(c_2314,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,[],[f11276]) ).
tcf(c_2315,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,[],[f12015]) ).
tcf(c_2316,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,[],[f11278]) ).
tcf(c_2317,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,[],[f12016]) ).
tcf(c_2318,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,[],[f12017]) ).
tcf(c_2319,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,[],[f12018]) ).
tcf(c_2320,plain,
! [X0: $i] : k10_relat_1(np__0,X0) = np__0,
inference(cnf_transformation,[],[f12019]) ).
tcf(c_2321,plain,
! [X0: $i] :
( ( k10_relat_1(X0,np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12020]) ).
tcf(c_2322,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,[],[f11284]) ).
tcf(c_2323,plain,
! [X0: $i] :
( ( k10_relat_1(X0,k2_relat_1(X0)) = k1_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11285]) ).
tcf(c_2324,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,[],[f12021]) ).
tcf(c_2325,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(X0,X1),k1_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11287]) ).
tcf(c_2327,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK421(X0,X2,X1),k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f11290]) ).
tcf(c_2328,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK421(X0,X2,X1)),k2_tarski(X0,X0)),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12023]) ).
tcf(c_2329,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK421(X0,X2,X1),X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f11288]) ).
tcf(c_2330,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(sK422(X0,X1,X2),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK422(X0,X1,X2),X3),k2_tarski(sK422(X0,X1,X2),sK422(X0,X1,X2))),X0) ),
inference(cnf_transformation,[],[f12024]) ).
tcf(c_2331,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK422(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK422(X0,X1,X2),sK423(X0,X1,X2)),k2_tarski(sK422(X0,X1,X2),sK422(X0,X1,X2))),X0)
| ( k10_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12025]) ).
tcf(c_2332,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK423(X0,X1,X2),X1)
| r2_hidden(sK422(X0,X1,X2),X2)
| ( k10_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11295]) ).
tcf(c_2333,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,[],[f12269]) ).
tcf(c_2334,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK424(X1,X2,X0)),k2_tarski(X0,X0)),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12270]) ).
tcf(c_2335,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK424(X1,X2,X0),X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12271]) ).
tcf(c_2337,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k9_relat_1(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11299]) ).
tcf(c_2338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k9_relat_1(X0,X3),X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f11300]) ).
tcf(c_2339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(k1_funct_1(X0,X3),k9_relat_1(X0,X4))
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f12272]) ).
tcf(c_2340,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,[],[f12029]) ).
tcf(c_2341,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,[],[f12030]) ).
tcf(c_2342,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,[],[f12031]) ).
tcf(c_2343,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,[],[f11305]) ).
tcf(c_2344,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k1_funct_1(X1,X0),k1_funct_1(X1,X0)) = k9_relat_1(X1,k2_tarski(X0,X0)) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12032]) ).
tcf(c_2345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k9_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,k1_relat_1(X0))
| ~ r2_hidden(sK425(X0,X1,X2),X2)
| ( sK425(X0,X1,X2) != k1_funct_1(X0,X3) ) ),
inference(cnf_transformation,[],[f11314]) ).
tcf(c_2346,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK425(X0,X1,X2),X2)
| r2_hidden(sK426(X0,X1,X2),k1_relat_1(X0))
| ( k9_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11313]) ).
tcf(c_2347,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK426(X0,X1,X2),X1)
| r2_hidden(sK425(X0,X1,X2),X2)
| ( k9_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11312]) ).
tcf(c_2348,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK425(X0,X1,X2),X2)
| ( k9_relat_1(X0,X1) = X2 )
| ( k1_funct_1(X0,sK426(X0,X1,X2)) = sK425(X0,X1,X2) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11311]) ).
tcf(c_2349,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X1,X0),k9_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12274]) ).
tcf(c_2350,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK427(X1,X2,X0),k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12275]) ).
tcf(c_2351,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK427(X1,X2,X0),X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12276]) ).
tcf(c_2352,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X1,sK427(X1,X2,X0)) = X0 )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12277]) ).
tcf(c_2353,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,[],[f11315]) ).
tcf(c_2354,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,[],[f11316]) ).
tcf(c_2355,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,[],[f11317]) ).
tcf(c_2356,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,[],[f11318]) ).
tcf(c_2357,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,[],[f12033]) ).
tcf(c_2358,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,[],[f11320]) ).
tcf(c_2359,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,[],[f12034]) ).
tcf(c_2360,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,[],[f12035]) ).
tcf(c_2361,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,[],[f12036]) ).
tcf(c_2362,plain,
! [X0: $i] : k9_relat_1(np__0,X0) = np__0,
inference(cnf_transformation,[],[f12037]) ).
tcf(c_2363,plain,
! [X0: $i] :
( ( k9_relat_1(X0,np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12038]) ).
tcf(c_2364,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,[],[f11326]) ).
tcf(c_2365,plain,
! [X0: $i] :
( ( k9_relat_1(X0,k1_relat_1(X0)) = k2_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11327]) ).
tcf(c_2366,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,[],[f12039]) ).
tcf(c_2367,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k9_relat_1(X0,X1),k2_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11329]) ).
tcf(c_2369,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK428(X0,X2,X1),k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f11332]) ).
tcf(c_2370,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK428(X0,X2,X1),X0),k2_tarski(sK428(X0,X2,X1),sK428(X0,X2,X1))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12041]) ).
tcf(c_2371,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK428(X0,X2,X1),X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f11330]) ).
tcf(c_2372,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(sK429(X1,X2,X3),X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,sK429(X1,X2,X3)),k2_tarski(X0,X0)),X1) ),
inference(cnf_transformation,[],[f12042]) ).
tcf(c_2373,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK429(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK430(X0,X1,X2),sK429(X0,X1,X2)),k2_tarski(sK430(X0,X1,X2),sK430(X0,X1,X2))),X0)
| ( k9_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12043]) ).
tcf(c_2374,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK430(X0,X1,X2),X1)
| r2_hidden(sK429(X0,X1,X2),X2)
| ( k9_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11337]) ).
tcf(c_2375,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,[],[f12278]) ).
tcf(c_2376,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK431(X1,X2,X0),X0),k2_tarski(sK431(X1,X2,X0),sK431(X1,X2,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12279]) ).
tcf(c_2377,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK431(X1,X2,X0),X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f12280]) ).
tcf(c_2378,plain,
! [X0: $i] :
( r2_hidden(sK432(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f12046]) ).
tcf(c_2379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r1_xboole_0(X4,X1)
| ( X1 = np__0 )
| ~ r2_hidden(X5,X0)
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X3,X5)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,sK432(X1)) ),
inference(cnf_transformation,[],[f12047]) ).
tcf(c_2380,plain,
! [X0: $i] :
( r2_hidden(sK433(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f12048]) ).
tcf(c_2381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_xboole_0(X4,X1)
| ( X1 = np__0 )
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,sK433(X1)) ),
inference(cnf_transformation,[],[f12049]) ).
tcf(c_2382,plain,
! [X0: $i] :
( r2_hidden(sK434(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f12050]) ).
tcf(c_2383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X3,X1)
| ( X1 = np__0 )
| ~ r2_hidden(X3,X2)
| ~ r2_hidden(X2,X0)
| ~ r2_hidden(X0,sK434(X1)) ),
inference(cnf_transformation,[],[f12051]) ).
tcf(c_2384,plain,
! [X0: $i] :
( r2_hidden(sK435(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f12052]) ).
tcf(c_2385,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X2,X1)
| ( X1 = np__0 )
| ~ r2_hidden(X2,X0)
| ~ r2_hidden(X0,sK435(X1)) ),
inference(cnf_transformation,[],[f12053]) ).
tcf(c_2386,plain,
! [X0: $i] :
( r2_hidden(sK436(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f12054]) ).
tcf(c_2387,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ( X1 = np__0 )
| ~ r2_hidden(X0,sK436(X1)) ),
inference(cnf_transformation,[],[f12055]) ).
tcf(c_2388,plain,
! [X0: $i] :
( r2_hidden(sK437(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f12056]) ).
tcf(c_2389,plain,
! [X0: $i] :
( r1_xboole_0(sK437(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f12057]) ).
tcf(c_2390,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,[],[f12058]) ).
tcf(c_2391,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,[],[f12059]) ).
tcf(c_2392,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,[],[f11355]) ).
tcf(c_2393,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,[],[f11354]) ).
tcf(c_2395,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| r1_xboole_0(k2_tarski(X0,X0),X1) ),
inference(cnf_transformation,[],[f12061]) ).
tcf(c_2397,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1))
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f12063]) ).
tcf(c_2398,plain,
! [X0: $i] : ~ r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X0)),
inference(cnf_transformation,[],[f12281]) ).
tcf(c_2399,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,[],[f11361]) ).
tcf(c_2400,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f11363]) ).
tcf(c_2401,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f11362]) ).
tcf(c_2405,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,[],[f11367]) ).
tcf(c_2406,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,[],[f11368]) ).
tcf(c_2407,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X2,X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11369]) ).
tcf(c_2408,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,[],[f11370]) ).
tcf(c_2409,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ( k4_xboole_0(X0,X1) != X0 ) ),
inference(cnf_transformation,[],[f11372]) ).
tcf(c_2410,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = X0 )
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f11371]) ).
tcf(c_2411,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f11373]) ).
tcf(c_2412,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,[],[f11374]) ).
tcf(c_2413,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X1,X2))
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f11375]) ).
tcf(c_2414,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(X0,X1),X1),
inference(cnf_transformation,[],[f11376]) ).
tcf(c_2415,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,[],[f12067]) ).
tcf(c_2416,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,[],[f12068]) ).
tcf(c_2417,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,[],[f12069]) ).
tcf(c_2418,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,[],[f12070]) ).
tcf(c_2420,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,[],[f11382]) ).
tcf(c_2421,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,[],[f11383]) ).
tcf(c_2422,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,[],[f11384]) ).
tcf(c_2423,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,[],[f11387]) ).
tcf(c_2424,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X1)
| ~ r1_xboole_0(X0,k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f11386]) ).
tcf(c_2425,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X2)
| ~ r1_xboole_0(X0,k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f11385]) ).
tcf(c_2426,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ r1_xboole_0(X0,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11388]) ).
tcf(c_2427,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,[],[f11389]) ).
tcf(c_2428,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,[],[f12072]) ).
tcf(c_2430,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r1_xboole_0(X0,X0) ),
inference(cnf_transformation,[],[f12074]) ).
tcf(c_2431,plain,
! [X0: $i] : r1_xboole_0(X0,np__0),
inference(cnf_transformation,[],[f12075]) ).
tcf(c_2432,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,[],[f11394]) ).
tcf(c_2433,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X2)
| ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11395]) ).
tcf(c_2434,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f11396]) ).
tcf(c_2437,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK438(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(cnf_transformation,[],[f12076]) ).
tcf(c_2438,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,[],[f12077]) ).
tcf(c_2439,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK439(X0,X1),X0) ),
inference(cnf_transformation,[],[f11405]) ).
tcf(c_2440,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK439(X0,X1),X1) ),
inference(cnf_transformation,[],[f11404]) ).
tcf(c_2441,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_xboole_0(X1,X2)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11403]) ).
tcf(c_2442,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) != np__0 ) ),
inference(cnf_transformation,[],[f12078]) ).
tcf(c_2443,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = np__0 )
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f12079]) ).
tcf(c_2444,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,[],[f11408]) ).
tcf(c_2445,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,[],[f11409]) ).
tcf(c_2458,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| ~ v1_membered(sK441(X0)) ),
inference(cnf_transformation,[],[f11423]) ).
tcf(c_2459,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| r2_hidden(sK441(X0),X0) ),
inference(cnf_transformation,[],[f11422]) ).
tcf(c_2460,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v1_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11424]) ).
tcf(c_2461,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f11427]) ).
tcf(c_2462,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f11426]) ).
tcf(c_2463,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f11425]) ).
tcf(c_2464,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11429]) ).
tcf(c_2465,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11428]) ).
tcf(c_2466,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f11430]) ).
tcf(c_2467,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f12084]) ).
tcf(c_2468,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f12085]) ).
tcf(c_2469,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f12086]) ).
tcf(c_2473,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12090]) ).
tcf(c_2474,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12091]) ).
tcf(c_2477,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f12094]) ).
tcf(c_2479,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X0,X1))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f11445]) ).
tcf(c_2480,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_xboole_0(X0,X1))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f11444]) ).
tcf(c_2481,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_xboole_0(X0,X1))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f11443]) ).
tcf(c_2482,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X0,X1))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11447]) ).
tcf(c_2483,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_xboole_0(X0,X1))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11446]) ).
tcf(c_2484,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X0,X1))
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f11448]) ).
tcf(c_2485,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v3_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11451]) ).
tcf(c_2486,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v3_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11450]) ).
tcf(c_2487,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v3_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11449]) ).
tcf(c_2488,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v2_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11453]) ).
tcf(c_2489,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v2_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11452]) ).
tcf(c_2491,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f11456]) ).
tcf(c_2492,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f11455]) ).
tcf(c_2493,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f12096]) ).
tcf(c_2494,plain,
! [X0: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f12097]) ).
tcf(c_2495,plain,
~ v1_xboole_0(k1_numbers),
inference(cnf_transformation,[],[f11461]) ).
tcf(c_2496,plain,
v1_membered(k1_numbers),
inference(cnf_transformation,[],[f11460]) ).
tcf(c_2497,plain,
v2_membered(k1_numbers),
inference(cnf_transformation,[],[f11459]) ).
tcf(c_2498,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_numbers)) ),
inference(cnf_transformation,[],[f11463]) ).
tcf(c_2499,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_numbers)) ),
inference(cnf_transformation,[],[f11462]) ).
tcf(c_2500,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11464]) ).
tcf(c_2501,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11465]) ).
tcf(c_2502,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,[],[f11466]) ).
tcf(c_2503,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,[],[f11467]) ).
tcf(c_2504,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( k1_lattices(X0,k2_lattices(X0,sK442(X0),sK443(X0)),k2_lattices(X0,sK442(X0),sK444(X0))) != k2_lattices(X0,sK442(X0),k1_lattices(X0,sK443(X0),sK444(X0))) ) ),
inference(cnf_transformation,[],[f11472]) ).
tcf(c_2505,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK444(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11471]) ).
tcf(c_2506,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK443(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11470]) ).
tcf(c_2507,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK442(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11469]) ).
tcf(c_2508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_lattices(X1,k2_lattices(X1,X0,X2),k2_lattices(X1,X0,X3)) = k2_lattices(X1,X0,k1_lattices(X1,X2,X3)) )
| ~ v11_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11468]) ).
tcf(c_2509,plain,
! [X0: $i] :
( v9_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( k2_lattices(X0,sK445(X0),k1_lattices(X0,sK445(X0),sK446(X0))) != sK445(X0) ) ),
inference(cnf_transformation,[],[f11476]) ).
tcf(c_2510,plain,
! [X0: $i] :
( v9_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK446(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11475]) ).
tcf(c_2511,plain,
! [X0: $i] :
( v9_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK445(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11474]) ).
tcf(c_2512,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,[],[f11473]) ).
tcf(c_2513,plain,
! [X0: $i] :
( v8_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( k1_lattices(X0,k2_lattices(X0,sK447(X0),sK448(X0)),sK448(X0)) != sK448(X0) ) ),
inference(cnf_transformation,[],[f11480]) ).
tcf(c_2514,plain,
! [X0: $i] :
( v8_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK448(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11479]) ).
tcf(c_2515,plain,
! [X0: $i] :
( v8_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK447(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11478]) ).
tcf(c_2516,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,[],[f11477]) ).
tcf(c_2517,plain,
r1_xboole_0(np__0,np__0),
inference(instantiation,[status(thm)],[c_2431]) ).
tcf(c_2538,plain,
m2_relset_1(np__0,np__0,np__0),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_2565,plain,
( v1_finset_1(np__0)
| ~ v1_xboole_0(np__0) ),
inference(instantiation,[status(thm)],[c_887]) ).
tcf(c_2597,plain,
( r2_hidden(np__0,k1_numbers)
| ~ v1_xreal_0(np__0) ),
inference(instantiation,[status(thm)],[c_1784]) ).
tcf(c_2654,plain,
( v1_relat_1(k4_xboole_0(np__0,np__0))
| ~ v1_relat_1(np__0) ),
inference(instantiation,[status(thm)],[c_792]) ).
tcf(c_2655,plain,
( v1_finset_1(k4_xboole_0(np__0,np__0))
| ~ v1_finset_1(np__0) ),
inference(instantiation,[status(thm)],[c_789]) ).
tcf(c_2699,plain,
( sP8(np__0)
| ~ v1_relat_1(np__0)
| ~ v1_funct_1(np__0) ),
inference(instantiation,[status(thm)],[c_1234]) ).
tcf(c_2702,plain,
( sP7(np__0)
| ~ sP8(np__0)
| ~ v2_funct_1(np__0) ),
inference(instantiation,[status(thm)],[c_1223]) ).
tcf(c_2745,plain,
( r1_xreal_0(np__0,np__0)
| ~ v1_xreal_0(np__0) ),
inference(instantiation,[status(thm)],[c_1782]) ).
tcf(c_2814,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_1341]) ).
tcf(c_2833,plain,
( r2_hidden(np__0,k5_numbers)
| ~ v1_int_1(np__0)
| ~ r1_xreal_0(np__0,np__0) ),
inference(instantiation,[status(thm)],[c_1073]) ).
tcf(c_3953,plain,
! [X0: $i] :
( sP15(X0)
| ~ sP16(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1860,c_1850,c_1845,c_1860]) ).
tcf(c_3956,plain,
! [X0: $i] :
( v1_int_1(k6_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1174,c_1075,c_1174]) ).
tcf(c_3959,plain,
! [X0: $i] :
( v1_int_1(k2_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1173,c_1075,c_1173]) ).
tcf(c_3968,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1368,c_214,c_178,c_1368]) ).
tcf(c_4012,plain,
k3_finseq_1(np__0) = np__0,
inference(global_subsumption_just,[status(thm)],[c_2202,c_2206,c_2205,c_2204,c_2202]) ).
tcf(c_4028,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_917,c_918,c_200]) ).
tcf(c_4029,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_4028]) ).
tcf(c_4048,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_429,c_70,c_429]) ).
tcf(c_4050,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_428,c_70,c_428]) ).
tcf(c_4060,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_64,c_67]) ).
tcf(c_4061,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_4060]) ).
tcf(c_4064,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_2354,c_70,c_2354]) ).
tcf(c_4066,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_2312,c_70,c_2312]) ).
tcf(c_4068,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_2254,c_70,c_2254]) ).
tcf(c_4086,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_filter_0(u1_struct_0(X0),X0) ),
inference(global_subsumption_just,[status(thm)],[c_385,c_361,c_385]) ).
tcf(c_4099,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ v1_funct_2(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_1622,c_214,c_1622]) ).
tcf(c_4100,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_4099]) ).
tcf(c_4101,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_1277,c_70,c_1277]) ).
tcf(c_4103,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_1276,c_70,c_1276]) ).
tcf(c_4107,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_62,c_65]) ).
tcf(c_4108,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_4107]) ).
tcf(c_4117,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v1_filter_0(u1_struct_0(X0),X0)
| ~ v10_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_373,c_4086]) ).
tcf(c_4118,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_filter_0(u1_struct_0(X0),X0) ),
inference(renaming,[status(thm)],[c_4117]) ).
tcf(c_4119,plain,
! [X0: $i] :
( ( k2_finseq_1(k3_finseq_1(X0)) = k1_relat_1(X0) )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2080,c_2191,c_2080]) ).
tcf(c_4124,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_61,c_68]) ).
tcf(c_4125,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_4124]) ).
tcf(c_4126,plain,
! [X0: $i,X1: $i] :
( ~ m1_filter_0(X0,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| sP10(X0,X1)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_1448,c_359,c_360,c_1448]) ).
tcf(c_4127,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| sP10(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(renaming,[status(thm)],[c_4126]) ).
tcf(c_4135,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_1209,c_1262]) ).
tcf(c_4136,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_4135]) ).
tcf(c_4141,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_58,c_66]) ).
tcf(c_4145,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(X0) = X1 )
| ( k1_relat_1(X0) != k2_finseq_1(X1) )
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2079,c_2081,c_2079]) ).
tcf(c_4146,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(X0) = X1 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ( k1_relat_1(X0) != k2_finseq_1(X1) ) ),
inference(renaming,[status(thm)],[c_4145]) ).
tcf(c_4147,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_1989,c_1944,c_1990,c_1989]) ).
tcf(c_4148,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_4147]) ).
tcf(c_4150,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_1988,c_1944,c_1990,c_1988]) ).
tcf(c_4151,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_4150]) ).
tcf(c_4152,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_534,c_540]) ).
tcf(c_4158,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,k1_rlvect_1(X1)) = X0 )
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ v5_rlvect_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_1875,c_1883]) ).
tcf(c_4159,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,k1_rlvect_1(X1)) = X0 )
| ~ v5_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_4158]) ).
tcf(c_4160,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_1776,c_70,c_1776]) ).
tcf(c_4161,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(renaming,[status(thm)],[c_4160]) ).
tcf(c_4162,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_1275,c_70,c_1275]) ).
tcf(c_4163,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_4162]) ).
tcf(c_4168,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_312,c_685,c_312]) ).
tcf(c_4169,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_4168]) ).
tcf(c_4171,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_311,c_685,c_311]) ).
tcf(c_4172,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_4171]) ).
tcf(c_4174,plain,
! [X0: $i,X1: $i] :
( sP17(X0,X1,k3_funct_4(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1925,c_1898,c_1897,c_1925]) ).
tcf(c_4177,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_1532,c_910,c_1532]) ).
tcf(c_4178,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_4177]) ).
tcf(c_4180,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_1531,c_910,c_1531]) ).
tcf(c_4181,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_4180]) ).
tcf(c_4191,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_1374,c_1375,c_1374]) ).
tcf(c_4194,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_1373,c_1375,c_1373]) ).
tcf(c_4209,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(k7_relat_1(X0,k2_finseq_1(X1))) = X1 )
| ~ v1_finseq_1(X0)
| ~ v4_ordinal2(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_xreal_0(X1,k3_finseq_1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_2073,c_2015,c_2014,c_2013,c_2073]) ).
tcf(c_4210,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(k7_relat_1(X1,k2_finseq_1(X0))) = X0 )
| ~ v1_finseq_1(X1)
| ~ v4_ordinal2(X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r1_xreal_0(X0,k3_finseq_1(X1)) ),
inference(renaming,[status(thm)],[c_4209]) ).
tcf(c_4212,plain,
! [X0: $i,X1: $i] :
( ( k4_finseq_1(k7_relat_1(X0,k2_finseq_1(X1))) = k2_finseq_1(X1) )
| ~ v1_finseq_1(X0)
| ~ v4_ordinal2(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_xreal_0(X1,k3_finseq_1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_2074,c_2015,c_2014,c_2013,c_2074]) ).
tcf(c_4213,plain,
! [X0: $i,X1: $i] :
( ( k4_finseq_1(k7_relat_1(X1,k2_finseq_1(X0))) = k2_finseq_1(X0) )
| ~ v1_finseq_1(X1)
| ~ v4_ordinal2(X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r1_xreal_0(X0,k3_finseq_1(X1)) ),
inference(renaming,[status(thm)],[c_4212]) ).
tcf(c_4217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,X0)
| ~ r2_hidden(X3,X0)
| ~ m1_filter_0(X0,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(k4_lattices(X1,X2,X3),X0)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_1447,c_359,c_360,c_1470]) ).
tcf(c_4218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r2_hidden(k4_lattices(X1,X0,X2),X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X3,X1)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_4217]) ).
tcf(c_4231,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_491,c_521,c_524]) ).
tcf(c_4232,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_503,c_521,c_524]) ).
tcf(c_4234,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_2399,c_521,c_524]) ).
tcf(c_4235,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_1060]) ).
tcf(c_4236,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_4235]) ).
tcf(c_4237,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_1059]) ).
tcf(c_4241,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_71]) ).
tcf(c_4253,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_1063]) ).
tcf(c_4303,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK125(X0),sK126(X0)),k2_tarski(sK125(X0),sK125(X0))),X0)
| v1_funct_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_572]) ).
tcf(c_4304,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK125(X0),sK126(X0)),k2_tarski(sK125(X0),sK125(X0))),X0) ),
inference(renaming,[status(thm)],[c_4303]) ).
tcf(c_4305,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK125(X0),sK127(X0)),k2_tarski(sK125(X0),sK125(X0))),X0)
| v1_funct_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_573]) ).
tcf(c_4306,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK125(X0),sK127(X0)),k2_tarski(sK125(X0),sK125(X0))),X0) ),
inference(renaming,[status(thm)],[c_4305]) ).
tcf(c_4317,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK56(X1,X0))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_71,c_218]) ).
tcf(c_4319,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(sK56(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_71,c_219]) ).
tcf(c_4321,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK56(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_71,c_220]) ).
tcf(c_4355,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X0,k5_finsub_1(X1))
| r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_72,c_918]) ).
tcf(c_4356,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(renaming,[status(thm)],[c_4355]) ).
tcf(c_4369,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_191]) ).
tcf(c_4421,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_2240]) ).
tcf(c_4495,plain,
! [X0: $i] :
( v1_realset1(X0)
| ~ v1_xboole_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_353]) ).
tcf(c_4521,plain,
! [X0: $i] :
( ~ sP16(X0)
| ~ v3_struct_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_1845]) ).
tcf(c_4529,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_296]) ).
tcf(c_4530,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(renaming,[status(thm)],[c_4529]) ).
tcf(c_4533,plain,
! [X0: $i] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_1552]) ).
tcf(c_4534,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(renaming,[status(thm)],[c_4533]) ).
tcf(c_4579,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_1526]) ).
tcf(c_4643,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_1059,c_197]) ).
tcf(c_4644,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_4643]) ).
tcf(c_4705,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_1059,c_398]) ).
tcf(c_4706,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_4705]) ).
tcf(c_4707,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_1059,c_399]) ).
tcf(c_4708,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_4707]) ).
tcf(c_4775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_tarski(k2_tarski(sK153(X0,X1,X2,X3,X4),sK154(X0,X1,X2,X3,X4)),k2_tarski(sK153(X0,X1,X2,X3,X4),sK153(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_612]) ).
tcf(c_4777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK153(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_613]) ).
tcf(c_4779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK154(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_614]) ).
tcf(c_4781,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK157(X0),sK158(X0)),k2_tarski(sK157(X0),sK157(X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_618]) ).
tcf(c_4787,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK162(X1,X2,X0),sK163(X1,X2,X0)),k2_tarski(sK162(X1,X2,X0),sK162(X1,X2,X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_628]) ).
tcf(c_4945,plain,
! [X0: $i] :
( v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_1893]) ).
tcf(c_4947,plain,
! [X0: $i] :
( v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_1894]) ).
tcf(c_4949,plain,
! [X0: $i] :
( m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_1895]) ).
tcf(c_4951,plain,
! [X0: $i] :
( ~ sP16(X0)
| l1_rlvect_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_1850]) ).
tcf(c_4952,plain,
! [X0: $i] :
( l1_rlvect_1(X0)
| ~ sP16(X0) ),
inference(renaming,[status(thm)],[c_4951]) ).
tcf(c_4953,plain,
! [X0: $i] :
( ~ sP16(X0)
| v3_rlvect_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_1846]) ).
tcf(c_4954,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| ~ sP16(X0) ),
inference(renaming,[status(thm)],[c_4953]) ).
tcf(c_4955,plain,
! [X0: $i] :
( ~ sP16(X0)
| v4_rlvect_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_1847]) ).
tcf(c_4956,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| ~ sP16(X0) ),
inference(renaming,[status(thm)],[c_4955]) ).
tcf(c_4997,plain,
! [X0: $i] :
( v1_card_1(X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(prop_impl_just,[status(thm)],[c_2182]) ).
tcf(c_5237,plain,
! [X0: $i] :
( ~ sP16(X0)
| v5_rlvect_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_1848]) ).
tcf(c_5238,plain,
! [X0: $i] :
( v5_rlvect_1(X0)
| ~ sP16(X0) ),
inference(renaming,[status(thm)],[c_5237]) ).
tcf(c_5239,plain,
! [X0: $i] :
( ~ sP16(X0)
| v6_rlvect_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_1849]) ).
tcf(c_5240,plain,
! [X0: $i] :
( v6_rlvect_1(X0)
| ~ sP16(X0) ),
inference(renaming,[status(thm)],[c_5239]) ).
tcf(c_5255,plain,
! [X0: $i] :
( sP15(X0)
| ~ sP16(X0) ),
inference(prop_impl_just,[status(thm)],[c_3953]) ).
tcf(c_9238,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_57,c_4237]) ).
tcf(c_9239,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_4108,c_4237]) ).
tcf(c_9240,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_4141,c_4237]) ).
tcf(c_9241,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_4061,c_4237]) ).
tcf(c_9242,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_4125,c_4237]) ).
tcf(c_9243,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| m1_subset_1(sK25(X2,X0),X2)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_74,c_4241]) ).
tcf(c_9244,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r2_hidden(sK26(X1,X2,X0),X2)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_76,c_4241]) ).
tcf(c_9245,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| m1_subset_1(sK26(X1,X2,X0),X1)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_77,c_4241]) ).
tcf(c_9246,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(bin_hyper_res,[status(thm)],[c_142,c_4236]) ).
tcf(c_9247,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_143,c_4237]) ).
tcf(c_9248,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_144,c_4237]) ).
tcf(c_9249,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK40(X1,X0),X0)
| ( X0 = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_155,c_4241]) ).
tcf(c_9250,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK40(X1,X0),X1)
| ( X0 = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_156,c_4241]) ).
tcf(c_9251,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_199,c_4241]) ).
tcf(c_9252,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_200,c_4241]) ).
tcf(c_9253,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK50(X1,X0),X1)
| ( X0 = X1 )
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_205,c_4241]) ).
tcf(c_9254,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_207,c_4241]) ).
tcf(c_9255,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_208,c_4241]) ).
tcf(c_9256,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| r2_hidden(sK70(X1,X0),X0)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_331,c_4241]) ).
tcf(c_9257,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| r2_hidden(sK71(X1,X0),X0)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_332,c_4241]) ).
tcf(c_9258,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| m1_subset_1(sK71(X1,X0),X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_334,c_4241]) ).
tcf(c_9259,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| m1_subset_1(sK70(X1,X0),X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_335,c_4241]) ).
tcf(c_9260,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_397,c_4237]) ).
tcf(c_9261,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_400,c_4236]) ).
tcf(c_9262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK102(X1,X3,X0),X1)
| ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_447,c_4237]) ).
tcf(c_9263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK103(X1,X3,X0),X1)
| ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_449,c_4237]) ).
tcf(c_9264,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK105(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_452,c_4237]) ).
tcf(c_9265,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_454,c_4237]) ).
tcf(c_9266,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_455,c_4237]) ).
tcf(c_9267,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_473,c_4253]) ).
tcf(c_9268,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_533,c_4237]) ).
tcf(c_9269,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k2_relat_1(X0) != np__0 ) ),
inference(bin_hyper_res,[status(thm)],[c_537,c_4236]) ).
tcf(c_9270,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_4152,c_4237]) ).
tcf(c_9271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK113(X1,X2,X3),sK114(X1,X2,X3)),k2_tarski(sK113(X1,X2,X3),sK113(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_553,c_4253]) ).
tcf(c_9272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK114(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_554,c_4253]) ).
tcf(c_9273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK113(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_555,c_4253]) ).
tcf(c_9274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK119(X1,X2,X3),sK120(X1,X2,X3)),k2_tarski(sK119(X1,X2,X3),sK119(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_561,c_4237]) ).
tcf(c_9275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK119(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_562,c_4237]) ).
tcf(c_9276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK120(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_563,c_4237]) ).
tcf(c_9277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK147(X3,X0),sK148(X3,X0)),k2_tarski(sK147(X3,X0),sK147(X3,X0))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK147(X3,X0),sK148(X3,X0)),k2_tarski(sK147(X3,X0),sK147(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_603,c_4253]) ).
tcf(c_9278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X3)
| r2_hidden(k2_tarski(k2_tarski(sK149(X0,X3),sK150(X0,X3)),k2_tarski(sK149(X0,X3),sK149(X0,X3))),X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_605,c_4253]) ).
tcf(c_9279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK155(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_615,c_4253]) ).
tcf(c_9280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK156(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_616,c_4253]) ).
tcf(c_9281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK155(X1,X2,X3),sK156(X1,X2,X3)),k2_tarski(sK155(X1,X2,X3),sK155(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_617,c_4253]) ).
tcf(c_9282,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_857,c_4241]) ).
tcf(c_9284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP6(X3,X0,X4,X2,X1)
| ( k8_funct_2(X1,X2,X0,sK231(X1,X2,X4,X0,X3)) = k8_funct_2(X1,X2,X0,sK232(X1,X2,X4,X0,X3)) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X4)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_1026,c_4237]) ).
tcf(c_9285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP6(X3,X0,X4,X2,X1)
| m1_subset_1(sK232(X1,X2,X4,X0,X3),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X4)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_1027,c_4237]) ).
tcf(c_9286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP6(X3,X0,X4,X2,X1)
| m1_subset_1(sK231(X1,X2,X4,X0,X3),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X4)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_1028,c_4237]) ).
tcf(c_9287,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)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1085,c_4241]) ).
tcf(c_9288,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| m2_subset_1(sK243(X1,X0),X1,X0)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1087,c_4241]) ).
tcf(c_9289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = np__0 )
| ( k1_funct_1(k5_relat_1(X0,X4),X3) = k1_funct_1(X4,k1_funct_1(X0,X3)) )
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_1218,c_4237]) ).
tcf(c_9290,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,sK274(X1,X2,X0)) = k8_funct_2(X1,X2,X0,sK275(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_1315,c_4237]) ).
tcf(c_9291,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(sK275(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_1316,c_4237]) ).
tcf(c_9292,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(sK274(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_1317,c_4237]) ).
tcf(c_9293,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP9(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_1338,c_4237]) ).
tcf(c_9294,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_1619,c_4237]) ).
tcf(c_9296,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(sK327(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_1686,c_4237]) ).
tcf(c_9297,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(sK327(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_1687,c_4237]) ).
tcf(c_9298,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_1688,c_4237]) ).
tcf(c_9299,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_1689,c_4237]) ).
tcf(c_9300,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_1702,c_4237]) ).
tcf(c_9301,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_2284,c_4237]) ).
tcf(c_9302,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_2338,c_4237]) ).
tcf(c_9303,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_2339,c_4237]) ).
tcf(c_9304,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_2343,c_4237]) ).
tcf(c_9305,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_2485,c_4241]) ).
tcf(c_9306,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_2486,c_4241]) ).
tcf(c_9307,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_2487,c_4241]) ).
tcf(c_9308,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_2488,c_4241]) ).
tcf(c_9309,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_2489,c_4241]) ).
tcf(c_10246,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ sP10(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_lattices(X0,sK297(X0,X1),sK298(X0,X1)),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1442,c_4369]) ).
tcf(c_10247,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_1469,c_4369]) ).
tcf(c_10248,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_1468,c_4369]) ).
tcf(c_10249,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(sK300(X0,X1),X1)
| ~ r2_hidden(sK299(X0,X1),X1)
| ~ r2_hidden(k4_lattices(X0,sK299(X0,X1),sK300(X0,X1)),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1463,c_4369]) ).
tcf(c_10250,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_1673,c_4369]) ).
tcf(c_10263,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_2278,c_4421]) ).
tcf(c_10264,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_2279,c_4421]) ).
tcf(c_10265,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_2277,c_4421]) ).
tcf(c_11802,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_2311,c_70]) ).
tcf(c_11803,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_2244,c_70]) ).
tcf(c_11805,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_2253,c_70]) ).
tcf(c_11806,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_4163,c_70]) ).
tcf(c_11807,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_2353,c_70]) ).
tcf(c_12048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X1,X0) = k1_funct_1(X2,X0) )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(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_466,c_476]) ).
tcf(c_12314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK270(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_1286,c_4136]) ).
tcf(c_12315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK270(X2,X3,X0,X1),X1),k2_tarski(sK270(X2,X3,X0,X1),sK270(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_1287,c_4136]) ).
tcf(c_12316,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_1285,c_4136]) ).
tcf(c_12596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X0)
| r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,X5))
| ~ v1_funct_1(X4)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1769,c_4029]) ).
tcf(c_12597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,X5),X4)
| ~ v1_funct_1(X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(X5,X2)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k2_lattice2(X1,X0,X2,X3),X4) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1748,c_4029]) ).
tcf(c_12598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r3_lattices(X2,k3_lattice2(X1,X2,X3,X0),k8_funct_2(X1,u1_struct_0(X2),X0,X4))
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X4,X3)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1774,c_4029]) ).
tcf(c_12599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r3_lattices(X2,k8_funct_2(X1,u1_struct_0(X2),X0,X4),k2_lattice2(X1,X2,X3,X0))
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X4,X3)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1753,c_4029]) ).
tcf(c_12600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k3_lattice2(X1,X0,X5,X2),X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(X3,X5)
| ~ m1_subset_1(X5,k5_finsub_1(X1))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,X3),X4) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1773,c_4029]) ).
tcf(c_12601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X0)
| r3_lattices(X0,X1,k2_lattice2(X2,X0,X5,X3))
| ~ v1_funct_1(X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k5_finsub_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_relset_1(X3,X2,u1_struct_0(X0))
| ~ v1_funct_2(X3,X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X3,X4)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1752,c_4029]) ).
tcf(c_12602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,k10_setwiseo(X1,X2,X5,X3))
| ~ v1_funct_1(X3)
| ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X3,X1,k5_finsub_1(X2))
| ~ r2_hidden(X0,k8_funct_2(X1,k5_finsub_1(X2),X3,X4)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1716,c_4029]) ).
tcf(c_12603,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)
| ~ v2_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ r2_hidden(X5,X4)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1006,c_4029]) ).
tcf(c_12712,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)
| ~ v2_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ r1_tarski(X5,X4)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1005,c_916]) ).
tcf(c_14180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v1_xboole_0(X0)
| r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X6,X1,X4),k2_binop_1(X0,X0,X0,X6,X2,X5)),X3)
| ~ v1_relat_1(X3)
| ~ m1_subset_1(X5,X0)
| ~ m1_subset_1(X4,X0)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X1,X0)
| ~ m2_filter_1(X6,X0,X3)
| ~ m2_relset_1(X6,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X6,k2_zfmisc_1(X0,X0),X0)
| ~ r2_hidden(k1_domain_1(X0,X0,X4,X5),X3)
| ~ r2_hidden(k1_domain_1(X0,X0,X1,X2),X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1119,c_1823]) ).
tcf(c_14853,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_14180,c_1824]) ).
tcf(c_14862,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_14853,c_1825]) ).
tcf(c_16570,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_relat_1(X5)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(k3_funct_4(X2,X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X4),k2_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_1926,c_1897]) ).
tcf(c_16582,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_relat_1(X5)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)),k1_relat_1(X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k1_relat_1(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_16570,c_1898]) ).
tcf(c_16703,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_10248,c_360]) ).
tcf(c_16704,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_10247,c_360]) ).
tcf(c_17386,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,k3_group_1(X1,X0),k1_group_1(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(backward_subsumption_resolution,[status(thm)],[c_1109,c_724]) ).
tcf(c_17387,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,k1_group_1(X1,X0,X2),k3_group_1(X1,X2)) = X0 )
| ~ 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(backward_subsumption_resolution,[status(thm)],[c_1107,c_724]) ).
tcf(c_18630,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,k3_group_1(X1,X0),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(backward_subsumption_resolution,[status(thm)],[c_701,c_1094]) ).
tcf(c_18631,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,X0,k3_group_1(X1,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(backward_subsumption_resolution,[status(thm)],[c_700,c_1094]) ).
tcf(c_19042,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_1504,c_1497]) ).
tcf(c_19043,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_1505,c_1497]) ).
tcf(c_30123,plain,
k1_zfmisc_1(np__0) = k5_finsub_1(np__0),
inference(light_normalisation,[status(thm)],[c_290,c_919]) ).
tcf(c_30376,plain,
! [X0: $i] : k4_xboole_0(X0,X0) = np__0,
inference(light_normalisation,[status(thm)],[c_947,c_825]) ).
tcf(c_31761,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k4_xboole_0(X0,X1),X0) = X0,
inference(ac_demodulation,[status(thm)],[c_4231,c_499,c_521,c_524]) ).
tcf(c_31762,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k4_xboole_0(X0,X1)) = X0,
inference(theory_normalisation,[status(thm)],[c_31761,c_521,c_524]) ).
tcf(c_32641,plain,
! [X0: $i] : k2_tarski(X0,X0) != np__0,
inference(demodulation,[status(thm)],[c_810,c_1381]) ).
tcf(c_33271,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),
inference(light_normalisation,[status(thm)],[c_484,c_919]) ).
tcf(c_33778,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK125(X0),sK125(X0)),k2_tarski(sK125(X0),sK127(X0))),X0) ),
inference(demodulation,[status(thm)],[c_4306,c_1429]) ).
tcf(c_33785,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK125(X0),sK125(X0)),k2_tarski(sK125(X0),sK126(X0))),X0) ),
inference(demodulation,[status(thm)],[c_4304,c_1429]) ).
tcf(c_34393,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(X0,k2_xboole_0(k4_xboole_0(X0,X1),X2)) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,X2))),
inference(demodulation,[status(thm)],[c_814,c_497]) ).
tcf(c_34472,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X2)),k2_xboole_0(X2,X1)),
inference(ac_demodulation,[status(thm)],[c_500,c_490,c_521,c_524]) ).
tcf(c_34473,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X2)),k2_xboole_0(X1,X2)),
inference(demodulation,[status(thm)],[c_500,c_490]) ).
tcf(c_34474,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))),k2_xboole_0(X2,X1)),
inference(light_normalisation,[status(thm)],[c_34472,c_497]) ).
tcf(c_34475,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))),k2_xboole_0(X1,X2)),
inference(light_normalisation,[status(thm)],[c_34473,c_497]) ).
tcf(c_35306,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_489,c_497]) ).
tcf(c_35593,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_989,c_161]) ).
tcf(c_35690,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,sK132(X1,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(demodulation,[status(thm)],[c_579,c_1429]) ).
tcf(c_36008,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_991,c_161]) ).
tcf(c_36021,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_990,c_161]) ).
tcf(c_36048,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X0,k4_xboole_0(X0,X2))))) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,X2))),
inference(demodulation,[status(thm)],[c_813,c_497,c_34393]) ).
tcf(c_36093,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK157(X0),sK157(X0)),k2_tarski(sK157(X0),sK158(X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_4781,c_1429]) ).
tcf(c_36100,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK128(X0),sK128(X0)),k2_tarski(sK128(X0),sK129(X0))),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_575,c_1429]) ).
tcf(c_36296,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,sK424(X1,X2,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_2334,c_1429]) ).
tcf(c_36314,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,sK421(X0,X2,X1))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_2328,c_1429]) ).
tcf(c_36484,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k2_tarski(sK138(X0),sK138(X0)),k2_tarski(sK138(X0),sK139(X0))) = X0 )
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_589,c_1429]) ).
tcf(c_36944,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X2,k4_xboole_0(X2,X1))))) = k4_xboole_0(X0,k2_xboole_0(X2,k4_xboole_0(X0,k2_xboole_0(X2,X1)))),
inference(demodulation,[status(thm)],[c_811,c_497,c_34393]) ).
tcf(c_37011,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,k1_funct_1(X1,X0))),X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(demodulation,[status(thm)],[c_456,c_1429]) ).
tcf(c_37424,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK112(X1,X0)),k2_tarski(sK112(X1,X0),sK112(X1,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(demodulation,[status(thm)],[c_549,c_1429]) ).
tcf(c_37658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_zfmisc_1(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X3,k4_xboole_0(X3,X2))) = k2_zfmisc_1(X0,X2) )
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(demodulation,[status(thm)],[c_928,c_929]) ).
tcf(c_37740,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK144(X0),X0)
| r2_hidden(k2_tarski(k2_tarski(sK145(X0,X1),sK145(X0,X1)),k2_tarski(sK145(X0,X1),sK146(X0,X1))),X0) ),
inference(demodulation,[status(thm)],[c_599,c_1429]) ).
tcf(c_37834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X3)
| r2_hidden(k2_tarski(k2_tarski(sK149(X0,X3),sK149(X0,X3)),k2_tarski(sK149(X0,X3),sK150(X0,X3))),X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_9278,c_1429]) ).
tcf(c_38216,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK144(X0),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK145(X0,X1),sK145(X0,X1)),k2_tarski(sK145(X0,X1),sK146(X0,X1))),X1) ),
inference(demodulation,[status(thm)],[c_598,c_1429]) ).
tcf(c_38780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK154(X0,X1,X3,X2,X4),k4_xboole_0(X3,k4_xboole_0(X3,X4)))
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k4_xboole_0(X1,X2)),k4_xboole_0(X3,k4_xboole_0(X3,X4)))) ),
inference(demodulation,[status(thm)],[c_4779,c_929]) ).
tcf(c_38787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK153(X0,X1,X3,X2,X4),k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k4_xboole_0(X1,X2)),k4_xboole_0(X3,k4_xboole_0(X3,X4)))) ),
inference(demodulation,[status(thm)],[c_4777,c_929]) ).
tcf(c_38794,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(k2_tarski(k2_tarski(sK133(X0,X1),sK133(X0,X1)),k2_tarski(sK133(X0,X1),sK134(X0,X1))),X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_581,c_1429]) ).
tcf(c_38877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(k2_zfmisc_1(k2_tarski(X2,X2),k2_tarski(X0,X0)),X3,X1)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_242,c_1414]) ).
tcf(c_38909,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK431(X1,X2,X0)),k2_tarski(sK431(X1,X2,X0),sK431(X1,X2,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_2376,c_1429]) ).
tcf(c_38919,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK428(X0,X2,X1)),k2_tarski(sK428(X0,X2,X1),sK428(X0,X2,X1))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_2370,c_1429]) ).
tcf(c_38967,plain,
! [X0: $i,X1: $i] :
( ( k7_finseq_1(k7_finseq_1(k9_finseq_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_1818,c_1429]) ).
tcf(c_39109,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(sK149(X0,X1),sK149(X0,X1)),k2_tarski(sK149(X0,X1),sK150(X0,X1))),X1) ),
inference(demodulation,[status(thm)],[c_604,c_1429]) ).
tcf(c_39119,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK133(X0,X1),sK133(X0,X1)),k2_tarski(sK133(X0,X1),sK134(X0,X1))),X1) ),
inference(demodulation,[status(thm)],[c_580,c_1429]) ).
tcf(c_39564,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK162(X1,X2,X0),sK162(X1,X2,X0)),k2_tarski(sK162(X1,X2,X0),sK163(X1,X2,X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_4787,c_1429]) ).
tcf(c_40163,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK130(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK130(X0,X1),sK130(X0,X1)),k2_tarski(sK130(X0,X1),sK131(X0,X1))),X0)
| ( k1_relat_1(X0) = X1 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_577,c_1429]) ).
tcf(c_40184,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK110(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK110(X0,X1),sK111(X0,X1)),k2_tarski(sK111(X0,X1),sK111(X0,X1))),X0)
| ( k2_relat_1(X0) = X1 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_547,c_1429]) ).
tcf(c_40269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,sK270(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_12314,c_1429]) ).
tcf(c_40282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK155(X1,X2,X3),sK155(X1,X2,X3)),k2_tarski(sK155(X1,X2,X3),sK156(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_9281,c_1429]) ).
tcf(c_40292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK119(X1,X2,X3),sK119(X1,X2,X3)),k2_tarski(sK119(X1,X2,X3),sK120(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_9274,c_1429]) ).
tcf(c_40302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK113(X1,X2,X3),sK113(X1,X2,X3)),k2_tarski(sK113(X1,X2,X3),sK114(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_9271,c_1429]) ).
tcf(c_40850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| r2_hidden(k2_tarski(k2_tarski(sK145(X2,X3),sK145(X2,X3)),k2_tarski(sK145(X2,X3),sK146(X2,X3))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK144(X2) ) ),
inference(demodulation,[status(thm)],[c_601,c_1429]) ).
tcf(c_41076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK145(X2,X3),sK145(X2,X3)),k2_tarski(sK145(X2,X3),sK146(X2,X3))),X3)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK144(X2) ) ),
inference(demodulation,[status(thm)],[c_600,c_1429]) ).
tcf(c_41772,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK429(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK429(X0,X1,X2),sK430(X0,X1,X2)),k2_tarski(sK430(X0,X1,X2),sK430(X0,X1,X2))),X0)
| ( k9_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_2373,c_1429]) ).
tcf(c_41785,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK422(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK422(X0,X1,X2),sK422(X0,X1,X2)),k2_tarski(sK422(X0,X1,X2),sK423(X0,X1,X2))),X0)
| ( k10_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_2331,c_1429]) ).
tcf(c_42316,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK159(X0,X1,X2),X2)
| ( k2_zfmisc_1(X0,X1) = X2 )
| ( k2_tarski(k2_tarski(sK160(X0,X1,X2),sK160(X0,X1,X2)),k2_tarski(sK160(X0,X1,X2),sK161(X0,X1,X2))) = sK159(X0,X1,X2) ) ),
inference(demodulation,[status(thm)],[c_624,c_1429]) ).
tcf(c_42612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,sK270(X2,X3,X0,X1)),k2_tarski(sK270(X2,X3,X0,X1),sK270(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_12315,c_1429]) ).
tcf(c_42651,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK417(X0,X2,X1),X2)
| r2_hidden(k2_tarski(k2_tarski(sK417(X0,X2,X1),sK417(X0,X2,X1)),k2_tarski(sK417(X0,X2,X1),sK418(X0,X2,X1))),X1)
| ( k7_relat_1(X0,X2) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_2275,c_1429]) ).
tcf(c_43819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_tarski(k2_tarski(sK153(X0,X1,X3,X2,X4),sK153(X0,X1,X3,X2,X4)),k2_tarski(sK153(X0,X1,X3,X2,X4),sK154(X0,X1,X3,X2,X4))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k4_xboole_0(X1,X2)),k4_xboole_0(X3,k4_xboole_0(X3,X4)))) ),
inference(demodulation,[status(thm)],[c_4775,c_929,c_1429]) ).
tcf(c_43826,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK135(X0,X1),sK135(X0,X1)),k2_tarski(sK135(X0,X1),sK136(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK135(X0,X1),sK135(X0,X1)),k2_tarski(sK135(X0,X1),sK136(X0,X1))),X0)
| ( X0 = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_584,c_1429]) ).
tcf(c_44184,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(k2_xboole_0(X1,X2),k4_xboole_0(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(demodulation,[status(thm)],[c_4232,c_497,c_34393,c_36048]) ).
tcf(c_44217,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK141(X1),X1)
| r2_hidden(sK140(X0),X0)
| r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK142(X0,X1)),k2_tarski(sK142(X0,X1),sK143(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK142(X0,X1)),k2_tarski(sK142(X0,X1),sK143(X0,X1))),X0)
| ( X0 = X1 ) ),
inference(demodulation,[status(thm)],[c_591,c_1429]) ).
tcf(c_44233,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK135(X0,X1),sK135(X0,X1)),k2_tarski(sK135(X0,X1),sK136(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK135(X0,X1),sK135(X0,X1)),k2_tarski(sK135(X0,X1),sK136(X0,X1))),X0) ),
inference(demodulation,[status(thm)],[c_583,c_1429]) ).
tcf(c_44675,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK141(X1),X1)
| r2_hidden(sK140(X0),X0)
| ( X0 = X1 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK142(X0,X1)),k2_tarski(sK142(X0,X1),sK143(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK142(X0,X1)),k2_tarski(sK142(X0,X1),sK143(X0,X1))),X0) ),
inference(demodulation,[status(thm)],[c_590,c_1429]) ).
tcf(c_44691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK147(X3,X0),sK147(X3,X0)),k2_tarski(sK147(X3,X0),sK148(X3,X0))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK147(X3,X0),sK147(X3,X0)),k2_tarski(sK147(X3,X0),sK148(X3,X0))),X0)
| ( X0 = X3 )
| ~ m1_relset_1(X3,X4,X5)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_9277,c_1429]) ).
tcf(c_45115,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK387(X0,X1,X2),sK387(X0,X1,X2)),k2_tarski(sK387(X0,X1,X2),sK388(X0,X1,X2))),k1_relat_1(X1))
| ( k3_funct_4(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP17(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_1924,c_1429]) ).
tcf(c_45143,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK386(X0,X1,X2))),k1_relat_1(X0))
| ( k3_funct_4(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP17(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_1923,c_1429]) ).
tcf(c_45419,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(sK147(X0,X1),sK147(X0,X1)),k2_tarski(sK147(X0,X1),sK148(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK147(X0,X1),sK147(X0,X1)),k2_tarski(sK147(X0,X1),sK148(X0,X1))),X0) ),
inference(demodulation,[status(thm)],[c_602,c_1429]) ).
tcf(c_45491,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK417(X0,X2,X1),sK417(X0,X2,X1)),k2_tarski(sK417(X0,X2,X1),sK418(X0,X2,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK417(X0,X2,X1),sK417(X0,X2,X1)),k2_tarski(sK417(X0,X2,X1),sK418(X0,X2,X1))),X0)
| ( k7_relat_1(X0,X2) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_2276,c_1429]) ).
tcf(c_45621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK141(X3),X3)
| r2_hidden(k2_tarski(k2_tarski(sK142(X2,X3),sK142(X2,X3)),k2_tarski(sK142(X2,X3),sK143(X2,X3))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK142(X2,X3),sK142(X2,X3)),k2_tarski(sK142(X2,X3),sK143(X2,X3))),X2)
| ( X2 = X3 )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK140(X2) ) ),
inference(demodulation,[status(thm)],[c_595,c_1429]) ).
tcf(c_45637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK140(X3),X3)
| r2_hidden(k2_tarski(k2_tarski(sK142(X3,X2),sK142(X3,X2)),k2_tarski(sK142(X3,X2),sK143(X3,X2))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK142(X3,X2),sK142(X3,X2)),k2_tarski(sK142(X3,X2),sK143(X3,X2))),X2)
| ( X2 = X3 )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK141(X2) ) ),
inference(demodulation,[status(thm)],[c_593,c_1429]) ).
tcf(c_46023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK141(X3),X3)
| ( X2 = X3 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X2,X3),sK142(X2,X3)),k2_tarski(sK142(X2,X3),sK143(X2,X3))),X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X2,X3),sK142(X2,X3)),k2_tarski(sK142(X2,X3),sK143(X2,X3))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK140(X2) ) ),
inference(demodulation,[status(thm)],[c_594,c_1429]) ).
tcf(c_46039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK140(X3),X3)
| ( X2 = X3 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X3,X2),sK142(X3,X2)),k2_tarski(sK142(X3,X2),sK143(X3,X2))),X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X3,X2),sK142(X3,X2)),k2_tarski(sK142(X3,X2),sK143(X3,X2))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK141(X2) ) ),
inference(demodulation,[status(thm)],[c_592,c_1429]) ).
tcf(c_46205,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK268(X0,X1,X2),sK269(X0,X1,X2)),k2_tarski(sK269(X0,X1,X2),sK269(X0,X1,X2))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK267(X0,X1,X2),sK267(X0,X1,X2)),k2_tarski(sK267(X0,X1,X2),sK268(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_1284,c_1429]) ).
tcf(c_46224,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK267(X0,X1,X2),sK267(X0,X1,X2)),k2_tarski(sK267(X0,X1,X2),sK269(X0,X1,X2))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK267(X0,X1,X2),sK267(X0,X1,X2)),k2_tarski(sK267(X0,X1,X2),sK268(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_1283,c_1429]) ).
tcf(c_46357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,X3),k2_tarski(X1,X1)),k1_relat_1(X5))
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))),k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X1))),k1_relat_1(k3_funct_4(X4,X5))) ),
inference(demodulation,[status(thm)],[c_1913,c_1414]) ).
tcf(c_46376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0)),k1_relat_1(X4))
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))),k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X1))),k1_relat_1(k3_funct_4(X4,X5))) ),
inference(demodulation,[status(thm)],[c_1912,c_1414]) ).
tcf(c_46766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1,X2,X3),sK151(X0,X1,X2,X3)),k2_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1,X2,X3),sK151(X0,X1,X2,X3)),k2_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1))
| ( k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ) ),
inference(demodulation,[status(thm)],[c_607,c_1429]) ).
tcf(c_46776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK142(X2,X5),sK142(X2,X5)),k2_tarski(sK142(X2,X5),sK143(X2,X5))),X5)
| r2_hidden(k2_tarski(k2_tarski(sK142(X2,X5),sK142(X2,X5)),k2_tarski(sK142(X2,X5),sK143(X2,X5))),X2)
| ( X2 = X5 )
| ( k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)) != sK141(X5) )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK140(X2) ) ),
inference(demodulation,[status(thm)],[c_597,c_1429]) ).
tcf(c_46792,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK417(X0,X1,X2),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK417(X0,X1,X2),sK417(X0,X1,X2)),k2_tarski(sK417(X0,X1,X2),sK418(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK417(X0,X1,X2),sK417(X0,X1,X2)),k2_tarski(sK417(X0,X1,X2),sK418(X0,X1,X2))),X0) ),
inference(demodulation,[status(thm)],[c_2274,c_1429]) ).
tcf(c_46901,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(sK151(X0,X1,X2,X3),sK151(X0,X1,X2,X3)),k2_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1,X2,X3),sK151(X0,X1,X2,X3)),k2_tarski(sK151(X0,X1,X2,X3),sK152(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1)) ),
inference(demodulation,[status(thm)],[c_606,c_1429]) ).
tcf(c_46911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X5 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X2,X5),sK142(X2,X5)),k2_tarski(sK142(X2,X5),sK143(X2,X5))),X5)
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X2,X5),sK142(X2,X5)),k2_tarski(sK142(X2,X5),sK143(X2,X5))),X2)
| ( k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)) != sK141(X5) )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK140(X2) ) ),
inference(demodulation,[status(thm)],[c_596,c_1429]) ).
tcf(c_47385,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,sK268(X0,X1,X2)),k2_tarski(X3,X3)),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK267(X0,X1,X2),X3),k2_tarski(sK267(X0,X1,X2),sK267(X0,X1,X2))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK267(X0,X1,X2),sK267(X0,X1,X2)),k2_tarski(sK267(X0,X1,X2),sK268(X0,X1,X2))),X2) ),
inference(demodulation,[status(thm)],[c_1282,c_1429]) ).
tcf(c_47489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X1,X4),k2_tarski(X1,X1))),k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X3,X3))),k1_relat_1(k3_funct_4(X2,X5)))
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)),k1_relat_1(X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k1_relat_1(X2)) ),
inference(demodulation,[status(thm)],[c_1911,c_1414]) ).
tcf(c_48235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ( k2_zfmisc_1(X1,X2) != k1_relat_1(X3) )
| ( k2_zfmisc_1(X1,X2) != k1_relat_1(X0) )
| ( k1_funct_1(X0,k2_tarski(k2_tarski(sK96(X1,X2,X0,X3),sK96(X1,X2,X0,X3)),k2_tarski(sK96(X1,X2,X0,X3),sK97(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK96(X1,X2,X0,X3),sK96(X1,X2,X0,X3)),k2_tarski(sK96(X1,X2,X0,X3),sK97(X1,X2,X0,X3)))) ) ),
inference(demodulation,[status(thm)],[c_436,c_1429]) ).
tcf(c_48774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X2),X4)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X4)
| ( k1_funct_1(X0,k2_tarski(k2_tarski(sK100(X1,X2,X0,X3),sK100(X1,X2,X0,X3)),k2_tarski(sK100(X1,X2,X0,X3),sK101(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK100(X1,X2,X0,X3),sK100(X1,X2,X0,X3)),k2_tarski(sK100(X1,X2,X0,X3),sK101(X1,X2,X0,X3)))) ) ),
inference(demodulation,[status(thm)],[c_443,c_1429]) ).
tcf(c_48799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X2),X4)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X4)
| ( k1_funct_1(X0,k2_tarski(k2_tarski(sK98(X1,X2,X0,X3),sK98(X1,X2,X0,X3)),k2_tarski(sK98(X1,X2,X0,X3),sK99(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK98(X1,X2,X0,X3),sK98(X1,X2,X0,X3)),k2_tarski(sK98(X1,X2,X0,X3),sK99(X1,X2,X0,X3)))) ) ),
inference(demodulation,[status(thm)],[c_439,c_1429]) ).
tcf(c_49146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k2_tarski(k2_tarski(k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0))),k1_funct_1(X5,k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)))),k2_tarski(k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0))),k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0))))) = k1_funct_1(k3_funct_4(X2,X5),k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X1,X4),k2_tarski(X1,X1))),k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X3,X3)))) )
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)),k1_relat_1(X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k1_relat_1(X2)) ),
inference(demodulation,[status(thm)],[c_16582,c_1414]) ).
tcf(c_49318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k2_tarski(k2_tarski(k1_funct_1(X4,k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0))),k1_funct_1(X5,k2_tarski(k2_tarski(X1,X3),k2_tarski(X1,X1)))),k2_tarski(k1_funct_1(X4,k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0))),k1_funct_1(X4,k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0))))) = k1_funct_1(k3_funct_4(X4,X5),k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))),k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X1)))) )
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))),k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X1))),k1_relat_1(k3_funct_4(X4,X5))) ),
inference(demodulation,[status(thm)],[c_1910,c_1414]) ).
tcf(c_49723,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_funct_4(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP17(X0,X1,X2)
| ( k2_tarski(k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK386(X0,X1,X2)))),k1_funct_1(X1,k2_tarski(k2_tarski(sK387(X0,X1,X2),sK387(X0,X1,X2)),k2_tarski(sK387(X0,X1,X2),sK388(X0,X1,X2))))),k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK386(X0,X1,X2)))),k1_funct_1(X0,k2_tarski(k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK386(X0,X1,X2)))))) != k1_funct_1(X2,k2_tarski(k2_zfmisc_1(k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2)),k2_tarski(sK387(X0,X1,X2),sK387(X0,X1,X2))),k2_tarski(k2_tarski(k2_tarski(sK385(X0,X1,X2),sK385(X0,X1,X2)),k2_tarski(sK385(X0,X1,X2),sK387(X0,X1,X2))),k2_tarski(k2_tarski(sK386(X0,X1,X2),sK386(X0,X1,X2)),k2_tarski(sK386(X0,X1,X2),sK388(X0,X1,X2)))))) ) ),
inference(demodulation,[status(thm)],[c_1922,c_1414,c_1429]) ).
tcf(c_49966,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ( X0 != sK164 ) ),
inference(resolution_lifted,[status(thm)],[c_4530,c_630]) ).
tcf(c_49967,plain,
l1_struct_0(sK164),
inference(unflattening,[status(thm)],[c_49966]) ).
tcf(c_49972,plain,
! [X0: $i,X1: $i] :
( r1_tarski(np__2,X1)
| ~ r2_hidden(np__1,X1)
| ~ m1_subset_1(X0,k5_numbers)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4997,c_1815]) ).
tcf(c_49973,plain,
! [X0: $i] :
( r1_tarski(np__2,X0)
| ~ r2_hidden(np__1,X0)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(unflattening,[status(thm)],[c_49972]) ).
tcf(c_49984,plain,
! [X0: $i,X1: $i] :
( r2_hidden(np__1,X1)
| ~ m1_subset_1(X0,k5_numbers)
| ~ r1_tarski(np__2,X1)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4997,c_1814]) ).
tcf(c_49985,plain,
! [X0: $i] :
( r2_hidden(np__1,X0)
| ~ m1_subset_1(X0,k5_numbers)
| ~ r1_tarski(np__2,X0) ),
inference(unflattening,[status(thm)],[c_49984]) ).
tcf(c_50086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| sP18(X1,X3)
| v3_struct_0(k8_filter_1(X1,X3))
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ~ l3_lattices(k8_filter_1(X1,X3))
| ~ v17_lattices(k8_filter_1(X1,X3))
| ~ v10_lattices(k8_filter_1(X1,X3))
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_1963,c_1949]) ).
tcf(c_50087,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP18(X0,X1)
| v3_struct_0(k8_filter_1(X0,X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v17_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1)) ),
inference(unflattening,[status(thm)],[c_50086]) ).
tcf(c_50089,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP18(X0,X1)
| ~ v17_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1) ),
inference(global_subsumption_just,[status(thm)],[c_50087,c_1944,c_1990,c_1963,c_1989,c_1988,c_1949]) ).
tcf(c_50090,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP18(X0,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1)) ),
inference(renaming,[status(thm)],[c_50089]) ).
tcf(c_50120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| sP20(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_1987,c_1973]) ).
tcf(c_50121,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP20(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_50120]) ).
tcf(c_50123,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP20(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_50121,c_1944,c_1990,c_1987,c_1989,c_1988,c_1973]) ).
tcf(c_50124,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP20(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_50123]) ).
tcf(c_51381,plain,
! [X0: $i,X1: $i] :
( l1_struct_0(X1)
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4579,c_4534]) ).
tcf(c_51382,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_51381]) ).
tcf(c_54525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X2,X3) = k2_rlvect_1(X1,X3,X2) )
| ~ sP16(X0)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4954,c_1892]) ).
tcf(c_54526,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,X2) = k2_rlvect_1(X1,X2,X0) )
| ~ sP16(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_54525]) ).
tcf(c_54540,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_rlvect_1(X1,X0,X2) = k2_rlvect_1(X1,X2,X0) )
| ~ sP16(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54526,c_4521,c_4952]) ).
tcf(c_54546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_binop_1(u1_rlvect_1(X1),X2,X3) = k1_binop_1(u1_rlvect_1(X1),X3,X2) )
| ~ sP16(X0)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4954,c_1141]) ).
tcf(c_54547,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) )
| ~ sP16(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_54546]) ).
tcf(c_54561,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_binop_1(u1_rlvect_1(X1),X0,X2) = k1_binop_1(u1_rlvect_1(X1),X2,X0) )
| ~ sP16(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54547,c_4521,c_4952]) ).
tcf(c_57594,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(X1))
| ~ l2_lattices(X0)
| ~ v3_struct_0(X1)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4534,c_299]) ).
tcf(c_57595,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_57594]) ).
tcf(c_57618,plain,
! [X0: $i,X1: $i] :
( v1_realset1(u1_struct_0(X1))
| ~ l2_lattices(X0)
| ~ v3_realset2(X1)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4534,c_120]) ).
tcf(c_57619,plain,
! [X0: $i] :
( v1_realset1(u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v3_realset2(X0) ),
inference(unflattening,[status(thm)],[c_57618]) ).
tcf(c_57630,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| ~ l2_lattices(X0)
| ~ v1_realset1(u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4534,c_119]) ).
tcf(c_57631,plain,
! [X0: $i] :
( v3_realset2(X0)
| ~ l2_lattices(X0)
| ~ v1_realset1(u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_57630]) ).
tcf(c_71312,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_realset1(u1_struct_0(X1))
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_133,c_120]) ).
tcf(c_71313,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_realset1(u1_struct_0(X0))
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_71312]) ).
tcf(c_71315,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_realset1(u1_struct_0(X0))
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_71313,c_51382,c_71313]) ).
tcf(c_71316,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_realset1(u1_struct_0(X0))
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_71315]) ).
tcf(c_71360,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_realset1(u1_struct_0(X1))
| ~ l1_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_lopclset(X0))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_132,c_120]) ).
tcf(c_71361,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_realset1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_lopclset(X0)) ),
inference(unflattening,[status(thm)],[c_71360]) ).
tcf(c_74183,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(X1)
| ( u1_struct_0(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_119,c_4495]) ).
tcf(c_74184,plain,
! [X0: $i] :
( v3_realset2(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_74183]) ).
tcf(c_74279,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| ~ l1_struct_0(X1)
| ( k2_tarski(X0,X0) != u1_struct_0(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_119,c_348]) ).
tcf(c_76356,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_realset1(u1_struct_0(X1))
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_133,c_120]) ).
tcf(c_76357,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_realset1(u1_struct_0(X0))
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_76356]) ).
tcf(c_76358,plain,
! [X0: $i] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| v1_realset1(u1_struct_0(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_76357,c_1526,c_299,c_51382,c_57619,c_71316,c_74184]) ).
tcf(c_76359,plain,
! [X0: $i] :
( v1_realset1(u1_struct_0(X0))
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_76358]) ).
tcf(c_76398,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_realset1(u1_struct_0(X1))
| ~ l1_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_lopclset(X0))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_132,c_120]) ).
tcf(c_76399,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_realset1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_lopclset(X0)) ),
inference(unflattening,[status(thm)],[c_76398]) ).
tcf(c_76400,plain,
! [X0: $i] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_lopclset(X0))
| v1_realset1(u1_struct_0(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_76399,c_1526,c_51382,c_57595,c_57619,c_71361,c_74184]) ).
tcf(c_76401,plain,
! [X0: $i] :
( v1_realset1(u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_lopclset(X0)) ),
inference(renaming,[status(thm)],[c_76400]) ).
tcf(c_78157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,X2) = X1 )
| ~ sP16(X3)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != X3 )
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1870]) ).
tcf(c_78158,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,X2) = X1 )
| ~ sP16(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(unflattening,[status(thm)],[c_78157]) ).
tcf(c_78160,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) )
| ~ sP16(X0)
| ( k5_rlvect_1(X0,X2) = X1 ) ),
inference(global_subsumption_just,[status(thm)],[c_78158,c_1850,c_1849,c_1848,c_1847,c_1845,c_1870]) ).
tcf(c_78161,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_rlvect_1(X0,X2) = X1 )
| ~ sP16(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(renaming,[status(thm)],[c_78160]) ).
tcf(c_78178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_struct_0(X0)
| ( X1 = X3 )
| ~ sP16(X4)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != X4 )
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X3,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1867]) ).
tcf(c_78179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| ( X1 = X3 )
| ~ sP16(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X3,X2) ) ),
inference(unflattening,[status(thm)],[c_78178]) ).
tcf(c_78181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X3,X2) )
| ~ sP16(X0)
| ( X1 = X3 ) ),
inference(global_subsumption_just,[status(thm)],[c_78179,c_1850,c_1849,c_1848,c_1847,c_1845,c_1867]) ).
tcf(c_78182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X3 )
| ~ sP16(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X3,X2) ) ),
inference(renaming,[status(thm)],[c_78181]) ).
tcf(c_78205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_struct_0(X0)
| ( X2 = X3 )
| ~ sP16(X4)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != X4 )
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X1,X3) ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1866]) ).
tcf(c_78206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| ( X2 = X3 )
| ~ sP16(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X1,X3) ) ),
inference(unflattening,[status(thm)],[c_78205]) ).
tcf(c_78207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X1,X3) )
| ~ sP16(X0)
| ( X2 = X3 ) ),
inference(global_subsumption_just,[status(thm)],[c_78206,c_1849,c_1848,c_1847,c_1845,c_78206]) ).
tcf(c_78208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X3 )
| ~ sP16(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X1,X3) ) ),
inference(renaming,[status(thm)],[c_78207]) ).
tcf(c_78230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k1_rlvect_1(X0) = X1 )
| ~ sP16(X3)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != X3 )
| ( k2_rlvect_1(X0,X1,X2) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1865]) ).
tcf(c_78231,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_rlvect_1(X0) = X1 )
| ~ sP16(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != X2 ) ),
inference(unflattening,[status(thm)],[c_78230]) ).
tcf(c_78233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != X2 )
| ~ sP16(X0)
| ( k1_rlvect_1(X0) = X1 ) ),
inference(global_subsumption_just,[status(thm)],[c_78231,c_1850,c_1849,c_1848,c_1847,c_1845,c_1865]) ).
tcf(c_78234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_rlvect_1(X0) = X1 )
| ~ sP16(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != X2 ) ),
inference(renaming,[status(thm)],[c_78233]) ).
tcf(c_78251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k1_rlvect_1(X0) = X2 )
| ~ sP16(X3)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != X3 )
| ( k2_rlvect_1(X0,X1,X2) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1864]) ).
tcf(c_78252,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_rlvect_1(X0) = X2 )
| ~ sP16(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != X1 ) ),
inference(unflattening,[status(thm)],[c_78251]) ).
tcf(c_78253,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != X1 )
| ~ sP16(X0)
| ( k1_rlvect_1(X0) = X2 ) ),
inference(global_subsumption_just,[status(thm)],[c_78252,c_1850,c_1849,c_1848,c_1847,c_1845,c_1864]) ).
tcf(c_78254,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_rlvect_1(X0) = X2 )
| ~ sP16(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != X1 ) ),
inference(renaming,[status(thm)],[c_78253]) ).
tcf(c_78274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,X1) = X2 )
| ~ sP16(X3)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != X3 )
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1843]) ).
tcf(c_78275,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,X1) = X2 )
| ~ sP16(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(unflattening,[status(thm)],[c_78274]) ).
tcf(c_78276,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) )
| ~ sP16(X0)
| ( k5_rlvect_1(X0,X1) = X2 ) ),
inference(global_subsumption_just,[status(thm)],[c_78275,c_1850,c_1849,c_1848,c_1847,c_1845,c_1873]) ).
tcf(c_78277,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_rlvect_1(X0,X1) = X2 )
| ~ sP16(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(renaming,[status(thm)],[c_78276]) ).
tcf(c_78321,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| ( k9_rlvect_1(X2,X0) = k1_rlvect_1(X2) )
| ~ sP16(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( X1 != X2 )
| ( k3_finseq_1(X0) != np__0 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_2445]) ).
tcf(c_78322,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k9_rlvect_1(X1,X0) = k1_rlvect_1(X1) )
| ~ sP16(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( k3_finseq_1(X0) != np__0 ) ),
inference(unflattening,[status(thm)],[c_78321]) ).
tcf(c_78340,plain,
! [X0: $i,X1: $i] :
( ( k9_rlvect_1(X1,X0) = k1_rlvect_1(X1) )
| ~ sP16(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( k3_finseq_1(X0) != np__0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78322,c_4521,c_5240,c_5238,c_4956]) ).
tcf(c_78346,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| ( k9_rlvect_1(X2,X0) = k1_funct_1(X0,np__1) )
| ~ sP16(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( X1 != X2 )
| ( k3_finseq_1(X0) != np__1 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_2444]) ).
tcf(c_78347,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k9_rlvect_1(X1,X0) = k1_funct_1(X0,np__1) )
| ~ sP16(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( k3_finseq_1(X0) != np__1 ) ),
inference(unflattening,[status(thm)],[c_78346]) ).
tcf(c_78365,plain,
! [X0: $i,X1: $i] :
( ( k9_rlvect_1(X1,X0) = k1_funct_1(X0,np__1) )
| ~ sP16(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( k3_finseq_1(X0) != np__1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78347,c_4521,c_5240,c_5238,c_4956]) ).
tcf(c_78390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X2,X3) = k2_rlvect_1(X1,X3,X2) )
| ~ sP16(X0)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1892]) ).
tcf(c_78391,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,X2) = k2_rlvect_1(X1,X2,X0) )
| ~ sP16(X1)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_78390]) ).
tcf(c_78393,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ sP16(X1)
| ( k2_rlvect_1(X1,X0,X2) = k2_rlvect_1(X1,X2,X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_78391,c_54540]) ).
tcf(c_78394,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_rlvect_1(X1,X0,X2) = k2_rlvect_1(X1,X2,X0) )
| ~ sP16(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_78393]) ).
tcf(c_78427,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X2,k1_rlvect_1(X1)) = X2 )
| ~ sP16(X0)
| ~ v5_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_4159]) ).
tcf(c_78428,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,k1_rlvect_1(X1)) = X0 )
| ~ sP16(X1)
| ~ v5_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_78427]) ).
tcf(c_78440,plain,
! [X0: $i,X1: $i] :
( ( k2_rlvect_1(X1,X0,k1_rlvect_1(X1)) = X0 )
| ~ sP16(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78428,c_4521,c_5238]) ).
tcf(c_78444,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X2,sK369(X1,X2)) = k1_rlvect_1(X1) )
| ~ sP16(X0)
| ~ v6_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1880]) ).
tcf(c_78445,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,sK369(X1,X0)) = k1_rlvect_1(X1) )
| ~ sP16(X1)
| ~ v6_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_78444]) ).
tcf(c_78457,plain,
! [X0: $i,X1: $i] :
( ( k2_rlvect_1(X1,X0,sK369(X1,X0)) = k1_rlvect_1(X1) )
| ~ sP16(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78445,c_4521,c_5240]) ).
tcf(c_78462,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK369(X1,X2),u1_struct_0(X1))
| ~ sP16(X0)
| ~ v6_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1879]) ).
tcf(c_78463,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK369(X1,X0),u1_struct_0(X1))
| ~ sP16(X1)
| ~ v6_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_78462]) ).
tcf(c_78475,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK369(X1,X0),u1_struct_0(X1))
| ~ sP16(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78463,c_4521,c_5240]) ).
tcf(c_78480,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k1_rlvect_1(X1),X2) = X2 )
| ~ sP16(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1876]) ).
tcf(c_78481,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k1_rlvect_1(X1),X0) = X0 )
| ~ sP16(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_78480]) ).
tcf(c_78497,plain,
! [X0: $i,X1: $i] :
( ( k2_rlvect_1(X1,k1_rlvect_1(X1),X0) = X0 )
| ~ sP16(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78481,c_4521,c_5240,c_5238,c_4956]) ).
tcf(c_78502,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k5_rlvect_1(X1,X2),X2) = k1_rlvect_1(X1) )
| ~ sP16(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1872]) ).
tcf(c_78503,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k5_rlvect_1(X1,X0),X0) = k1_rlvect_1(X1) )
| ~ sP16(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_78502]) ).
tcf(c_78519,plain,
! [X0: $i,X1: $i] :
( ( k2_rlvect_1(X1,k5_rlvect_1(X1,X0),X0) = k1_rlvect_1(X1) )
| ~ sP16(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78503,c_4521,c_5240,c_5238,c_4956]) ).
tcf(c_78524,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X2,k5_rlvect_1(X1,X2)) = k1_rlvect_1(X1) )
| ~ sP16(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1871]) ).
tcf(c_78525,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,k5_rlvect_1(X1,X0)) = k1_rlvect_1(X1) )
| ~ sP16(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_78524]) ).
tcf(c_78541,plain,
! [X0: $i,X1: $i] :
( ( k2_rlvect_1(X1,X0,k5_rlvect_1(X1,X0)) = k1_rlvect_1(X1) )
| ~ sP16(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78525,c_4521,c_5240,c_5238,c_4956]) ).
tcf(c_78546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X2,sK367(X1,X2,X3)) = X3 )
| ~ sP16(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1869]) ).
tcf(c_78547,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,sK367(X1,X0,X2)) = X2 )
| ~ sP16(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_78546]) ).
tcf(c_78565,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_rlvect_1(X1,X0,sK367(X1,X0,X2)) = X2 )
| ~ sP16(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78547,c_4521,c_5240,c_5238,c_4956]) ).
tcf(c_78571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK367(X1,X2,X3),u1_struct_0(X1))
| ~ sP16(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1868]) ).
tcf(c_78572,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK367(X1,X0,X2),u1_struct_0(X1))
| ~ sP16(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_78571]) ).
tcf(c_78590,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK367(X1,X0,X2),u1_struct_0(X1))
| ~ sP16(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78572,c_4521,c_5240,c_5238,c_4956]) ).
tcf(c_78596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k5_rlvect_1(X1,X3),k5_rlvect_1(X1,X2)) = k5_rlvect_1(X1,k2_rlvect_1(X1,X2,X3)) )
| ~ sP16(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1863]) ).
tcf(c_78597,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)) )
| ~ sP16(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_78596]) ).
tcf(c_78615,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_rlvect_1(X1,k5_rlvect_1(X1,X2),k5_rlvect_1(X1,X0)) = k5_rlvect_1(X1,k2_rlvect_1(X1,X0,X2)) )
| ~ sP16(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78597,c_4521,c_5240,c_5238,c_4956]) ).
tcf(c_78640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k2_rlvect_1(X1,k5_rlvect_1(X1,X3),k5_rlvect_1(X1,X2))) = k2_rlvect_1(X1,X2,X3) )
| ~ sP16(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1841]) ).
tcf(c_78641,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) )
| ~ sP16(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_78640]) ).
tcf(c_78659,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_rlvect_1(X1,k2_rlvect_1(X1,k5_rlvect_1(X1,X2),k5_rlvect_1(X1,X0))) = k2_rlvect_1(X1,X0,X2) )
| ~ sP16(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78641,c_4521,c_5240,c_5238,c_4956]) ).
tcf(c_78665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k2_rlvect_1(X1,k5_rlvect_1(X1,X2),X3)) = k2_rlvect_1(X1,k5_rlvect_1(X1,X3),X2) )
| ~ sP16(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1840]) ).
tcf(c_78666,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) )
| ~ sP16(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_78665]) ).
tcf(c_78684,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_rlvect_1(X1,k2_rlvect_1(X1,k5_rlvect_1(X1,X0),X2)) = k2_rlvect_1(X1,k5_rlvect_1(X1,X2),X0) )
| ~ sP16(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78666,c_4521,c_5240,c_5238,c_4956]) ).
tcf(c_78690,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| ( k2_rlvect_1(X2,k1_funct_1(X0,np__1),k1_funct_1(X0,np__2)) = k9_rlvect_1(X2,X0) )
| ~ sP16(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ~ m1_subset_1(k1_funct_1(X0,np__2),u1_struct_0(X2))
| ~ m1_subset_1(k1_funct_1(X0,np__1),u1_struct_0(X2))
| ( X1 != X2 )
| ( k3_finseq_1(X0) != np__2 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1813]) ).
tcf(c_78691,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k1_funct_1(X0,np__1),k1_funct_1(X0,np__2)) = k9_rlvect_1(X1,X0) )
| ~ sP16(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(k1_funct_1(X0,np__2),u1_struct_0(X1))
| ~ m1_subset_1(k1_funct_1(X0,np__1),u1_struct_0(X1))
| ( k3_finseq_1(X0) != np__2 ) ),
inference(unflattening,[status(thm)],[c_78690]) ).
tcf(c_78713,plain,
! [X0: $i,X1: $i] :
( ( k2_rlvect_1(X1,k1_funct_1(X0,np__1),k1_funct_1(X0,np__2)) = k9_rlvect_1(X1,X0) )
| ~ sP16(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(k1_funct_1(X0,np__2),u1_struct_0(X1))
| ~ m1_subset_1(k1_funct_1(X0,np__1),u1_struct_0(X1))
| ( k3_finseq_1(X0) != np__2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78691,c_4521,c_5240,c_5238,c_4956]) ).
tcf(c_78721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X1)
| ( k1_binop_1(u1_rlvect_1(X1),k1_binop_1(u1_rlvect_1(X1),X2,X3),X4) = k1_binop_1(u1_rlvect_1(X1),X2,k1_binop_1(u1_rlvect_1(X1),X3,X4)) )
| ~ sP16(X0)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1146]) ).
tcf(c_78722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_binop_1(u1_rlvect_1(X1),k1_binop_1(u1_rlvect_1(X1),X0,X2),X3) = k1_binop_1(u1_rlvect_1(X1),X0,k1_binop_1(u1_rlvect_1(X1),X2,X3)) )
| ~ sP16(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_78721]) ).
tcf(c_78738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_binop_1(u1_rlvect_1(X1),k1_binop_1(u1_rlvect_1(X1),X0,X2),X3) = k1_binop_1(u1_rlvect_1(X1),X0,k1_binop_1(u1_rlvect_1(X1),X2,X3)) )
| ~ sP16(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78722,c_4521,c_4956]) ).
tcf(c_78745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_binop_1(u1_rlvect_1(X1),X2,X3) = k1_binop_1(u1_rlvect_1(X1),X3,X2) )
| ~ sP16(X0)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4952,c_1141]) ).
tcf(c_78746,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) )
| ~ sP16(X1)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_78745]) ).
tcf(c_78748,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ sP16(X1)
| ( k1_binop_1(u1_rlvect_1(X1),X0,X2) = k1_binop_1(u1_rlvect_1(X1),X2,X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_78746,c_54561]) ).
tcf(c_78749,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_binop_1(u1_rlvect_1(X1),X0,X2) = k1_binop_1(u1_rlvect_1(X1),X2,X0) )
| ~ sP16(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_78748]) ).
tcf(c_78781,plain,
! [X0: $i] :
( m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_4949,c_1839]) ).
tcf(c_78782,plain,
m2_relset_1(u1_rlvect_1(sK362),k2_zfmisc_1(u1_struct_0(sK362),u1_struct_0(sK362)),u1_struct_0(sK362)),
inference(unflattening,[status(thm)],[c_78781]) ).
tcf(c_78786,plain,
! [X0: $i] :
( v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_4947,c_1839]) ).
tcf(c_78787,plain,
v1_funct_2(u1_rlvect_1(sK362),k2_zfmisc_1(u1_struct_0(sK362),u1_struct_0(sK362)),u1_struct_0(sK362)),
inference(unflattening,[status(thm)],[c_78786]) ).
tcf(c_78791,plain,
! [X0: $i] :
( v1_funct_1(u1_rlvect_1(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_4945,c_1839]) ).
tcf(c_78792,plain,
v1_funct_1(u1_rlvect_1(sK362)),
inference(unflattening,[status(thm)],[c_78791]) ).
tcf(c_78796,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK374(X0),u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1891,c_1839]) ).
tcf(c_78797,plain,
( v3_rlvect_1(sK362)
| v3_struct_0(sK362)
| m1_subset_1(sK374(sK362),u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_78796]) ).
tcf(c_78807,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK375(X0),u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1890,c_1839]) ).
tcf(c_78808,plain,
( v3_rlvect_1(sK362)
| v3_struct_0(sK362)
| m1_subset_1(sK375(sK362),u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_78807]) ).
tcf(c_78818,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| ( X0 != sK362 )
| ( k2_rlvect_1(X0,sK374(X0),sK375(X0)) != k2_rlvect_1(X0,sK375(X0),sK374(X0)) ) ),
inference(resolution_lifted,[status(thm)],[c_1889,c_1839]) ).
tcf(c_78819,plain,
( v3_rlvect_1(sK362)
| v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,sK374(sK362),sK375(sK362)) != k2_rlvect_1(sK362,sK375(sK362),sK374(sK362)) ) ),
inference(unflattening,[status(thm)],[c_78818]) ).
tcf(c_78829,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK371(X0),u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1887,c_1839]) ).
tcf(c_78830,plain,
( v4_rlvect_1(sK362)
| v3_struct_0(sK362)
| m1_subset_1(sK371(sK362),u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_78829]) ).
tcf(c_78840,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK372(X0),u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1886,c_1839]) ).
tcf(c_78841,plain,
( v4_rlvect_1(sK362)
| v3_struct_0(sK362)
| m1_subset_1(sK372(sK362),u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_78840]) ).
tcf(c_78851,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK373(X0),u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1885,c_1839]) ).
tcf(c_78852,plain,
( v4_rlvect_1(sK362)
| v3_struct_0(sK362)
| m1_subset_1(sK373(sK362),u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_78851]) ).
tcf(c_78862,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| ( X0 != sK362 )
| ( k2_rlvect_1(X0,k2_rlvect_1(X0,sK371(X0),sK372(X0)),sK373(X0)) != k2_rlvect_1(X0,sK371(X0),k2_rlvect_1(X0,sK372(X0),sK373(X0))) ) ),
inference(resolution_lifted,[status(thm)],[c_1884,c_1839]) ).
tcf(c_78863,plain,
( v4_rlvect_1(sK362)
| v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,k2_rlvect_1(sK362,sK371(sK362),sK372(sK362)),sK373(sK362)) != k2_rlvect_1(sK362,sK371(sK362),k2_rlvect_1(sK362,sK372(sK362),sK373(sK362))) ) ),
inference(unflattening,[status(thm)],[c_78862]) ).
tcf(c_78873,plain,
! [X0: $i] :
( v5_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK370(X0),u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1882,c_1839]) ).
tcf(c_78874,plain,
( v5_rlvect_1(sK362)
| v3_struct_0(sK362)
| m1_subset_1(sK370(sK362),u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_78873]) ).
tcf(c_78884,plain,
! [X0: $i] :
( v5_rlvect_1(X0)
| v3_struct_0(X0)
| ( X0 != sK362 )
| ( k2_rlvect_1(X0,sK370(X0),k1_rlvect_1(X0)) != sK370(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_1881,c_1839]) ).
tcf(c_78885,plain,
( v5_rlvect_1(sK362)
| v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,sK370(sK362),k1_rlvect_1(sK362)) != sK370(sK362) ) ),
inference(unflattening,[status(thm)],[c_78884]) ).
tcf(c_78895,plain,
! [X0: $i] :
( v6_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK368(X0),u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1878,c_1839]) ).
tcf(c_78896,plain,
( v6_rlvect_1(sK362)
| v3_struct_0(sK362)
| m1_subset_1(sK368(sK362),u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_78895]) ).
tcf(c_78906,plain,
! [X0: $i,X1: $i] :
( v6_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 )
| ( k2_rlvect_1(X0,sK368(X0),X1) != k1_rlvect_1(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_1877,c_1839]) ).
tcf(c_78907,plain,
! [X0: $i] :
( v6_rlvect_1(sK362)
| v3_struct_0(sK362)
| ~ m1_subset_1(X0,u1_struct_0(sK362))
| ( k2_rlvect_1(sK362,sK368(sK362),X0) != k1_rlvect_1(sK362) ) ),
inference(unflattening,[status(thm)],[c_78906]) ).
tcf(c_78921,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,X2) = X1 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 )
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_1870,c_1839]) ).
tcf(c_78922,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k5_rlvect_1(sK362,X1) = X0 )
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362))
| ( k2_rlvect_1(sK362,X0,X1) != k1_rlvect_1(sK362) ) ),
inference(unflattening,[status(thm)],[c_78921]) ).
tcf(c_78948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| ( X1 = X3 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 )
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X3,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_1867,c_1839]) ).
tcf(c_78949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(sK362)
| ( X0 = X2 )
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ m1_subset_1(X3,u1_struct_0(sK362))
| ~ m1_subset_1(X2,u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362))
| ( k2_rlvect_1(sK362,X0,X1) != k2_rlvect_1(sK362,X2,X1) ) ),
inference(unflattening,[status(thm)],[c_78948]) ).
tcf(c_78981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| ( X2 = X3 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 )
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X1,X3) ) ),
inference(resolution_lifted,[status(thm)],[c_1866,c_1839]) ).
tcf(c_78982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(sK362)
| ( X1 = X2 )
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ m1_subset_1(X3,u1_struct_0(sK362))
| ~ m1_subset_1(X2,u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362))
| ( k2_rlvect_1(sK362,X0,X1) != k2_rlvect_1(sK362,X0,X2) ) ),
inference(unflattening,[status(thm)],[c_78981]) ).
tcf(c_79013,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_rlvect_1(X0) = X1 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 )
| ( k2_rlvect_1(X0,X1,X2) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_1865,c_1839]) ).
tcf(c_79014,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k1_rlvect_1(sK362) = X0 )
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362))
| ( k2_rlvect_1(sK362,X0,X1) != X1 ) ),
inference(unflattening,[status(thm)],[c_79013]) ).
tcf(c_79040,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_rlvect_1(X0) = X2 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 )
| ( k2_rlvect_1(X0,X1,X2) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_1864,c_1839]) ).
tcf(c_79041,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k1_rlvect_1(sK362) = X1 )
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362))
| ( k2_rlvect_1(sK362,X0,X1) != X0 ) ),
inference(unflattening,[status(thm)],[c_79040]) ).
tcf(c_79066,plain,
! [X0: $i] :
( sP16(X0)
| v3_struct_0(X0)
| ~ sP15(X0)
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1861,c_1839]) ).
tcf(c_79067,plain,
( sP16(sK362)
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(unflattening,[status(thm)],[c_79066]) ).
tcf(c_79077,plain,
! [X0: $i] :
( sP16(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1844,c_1839]) ).
tcf(c_79078,plain,
( sP16(sK362)
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ v3_rlvect_1(sK362) ),
inference(unflattening,[status(thm)],[c_79077]) ).
tcf(c_79097,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,X1) = X2 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 )
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_1843,c_1839]) ).
tcf(c_79098,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k5_rlvect_1(sK362,X0) = X1 )
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362))
| ( k2_rlvect_1(sK362,X0,X1) != k1_rlvect_1(sK362) ) ),
inference(unflattening,[status(thm)],[c_79097]) ).
tcf(c_79123,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK250(X0),u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1145,c_1839]) ).
tcf(c_79124,plain,
( v4_rlvect_1(sK362)
| v3_struct_0(sK362)
| m1_subset_1(sK250(sK362),u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79123]) ).
tcf(c_79134,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK251(X0),u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1144,c_1839]) ).
tcf(c_79135,plain,
( v4_rlvect_1(sK362)
| v3_struct_0(sK362)
| m1_subset_1(sK251(sK362),u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79134]) ).
tcf(c_79145,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK252(X0),u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1143,c_1839]) ).
tcf(c_79146,plain,
( v4_rlvect_1(sK362)
| v3_struct_0(sK362)
| m1_subset_1(sK252(sK362),u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79145]) ).
tcf(c_79156,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| ( X0 != sK362 )
| ( k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),sK250(X0),sK251(X0)),sK252(X0)) != k1_binop_1(u1_rlvect_1(X0),sK250(X0),k1_binop_1(u1_rlvect_1(X0),sK251(X0),sK252(X0))) ) ),
inference(resolution_lifted,[status(thm)],[c_1142,c_1839]) ).
tcf(c_79157,plain,
( v4_rlvect_1(sK362)
| v3_struct_0(sK362)
| ( k1_binop_1(u1_rlvect_1(sK362),k1_binop_1(u1_rlvect_1(sK362),sK250(sK362),sK251(sK362)),sK252(sK362)) != k1_binop_1(u1_rlvect_1(sK362),sK250(sK362),k1_binop_1(u1_rlvect_1(sK362),sK251(sK362),sK252(sK362))) ) ),
inference(unflattening,[status(thm)],[c_79156]) ).
tcf(c_79167,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK248(X0),u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1140,c_1839]) ).
tcf(c_79168,plain,
( v3_rlvect_1(sK362)
| v3_struct_0(sK362)
| m1_subset_1(sK248(sK362),u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79167]) ).
tcf(c_79178,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK249(X0),u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1139,c_1839]) ).
tcf(c_79179,plain,
( v3_rlvect_1(sK362)
| v3_struct_0(sK362)
| m1_subset_1(sK249(sK362),u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79178]) ).
tcf(c_79189,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| ( X0 != sK362 )
| ( k1_binop_1(u1_rlvect_1(X0),sK248(X0),sK249(X0)) != k1_binop_1(u1_rlvect_1(X0),sK249(X0),sK248(X0)) ) ),
inference(resolution_lifted,[status(thm)],[c_1138,c_1839]) ).
tcf(c_79190,plain,
( v3_rlvect_1(sK362)
| v3_struct_0(sK362)
| ( k1_binop_1(u1_rlvect_1(sK362),sK248(sK362),sK249(sK362)) != k1_binop_1(u1_rlvect_1(sK362),sK249(sK362),sK248(sK362)) ) ),
inference(unflattening,[status(thm)],[c_79189]) ).
tcf(c_79225,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k9_rlvect_1(X1,X0) = k1_rlvect_1(X1) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( X1 != sK362 )
| ( k3_finseq_1(X0) != np__0 ) ),
inference(resolution_lifted,[status(thm)],[c_2445,c_1839]) ).
tcf(c_79226,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| ( k9_rlvect_1(sK362,X0) = k1_rlvect_1(sK362) )
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ m2_finseq_1(X0,u1_struct_0(sK362))
| ( k3_finseq_1(X0) != np__0 ) ),
inference(unflattening,[status(thm)],[c_79225]) ).
tcf(c_79249,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k9_rlvect_1(X1,X0) = k1_funct_1(X0,np__1) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( X1 != sK362 )
| ( k3_finseq_1(X0) != np__1 ) ),
inference(resolution_lifted,[status(thm)],[c_2444,c_1839]) ).
tcf(c_79250,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| ( k9_rlvect_1(sK362,X0) = k1_funct_1(X0,np__1) )
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ m2_finseq_1(X0,u1_struct_0(sK362))
| ( k3_finseq_1(X0) != np__1 ) ),
inference(unflattening,[status(thm)],[c_79249]) ).
tcf(c_79273,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_rlvect_1(X0),X1,X2) = k2_rlvect_1(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1896,c_1839]) ).
tcf(c_79274,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k2_binop_1(u1_struct_0(sK362),u1_struct_0(sK362),u1_struct_0(sK362),u1_rlvect_1(sK362),X0,X1) = k2_rlvect_1(sK362,X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79273]) ).
tcf(c_79288,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,X1,X2) = k2_rlvect_1(X0,X2,X1) )
| ~ v3_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1892,c_1839]) ).
tcf(c_79289,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,X0,X1) = k2_rlvect_1(sK362,X1,X0) )
| ~ v3_rlvect_1(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79288]) ).
tcf(c_79306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,k2_rlvect_1(X0,X1,X2),X3) = k2_rlvect_1(X0,X1,k2_rlvect_1(X0,X2,X3)) )
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1888,c_1839]) ).
tcf(c_79307,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,k2_rlvect_1(sK362,X0,X1),X2) = k2_rlvect_1(sK362,X0,k2_rlvect_1(sK362,X1,X2)) )
| ~ v4_rlvect_1(sK362)
| ~ m1_subset_1(X2,u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79306]) ).
tcf(c_79327,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1 )
| ~ v5_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_4159,c_1839]) ).
tcf(c_79328,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,X0,k1_rlvect_1(sK362)) = X0 )
| ~ v5_rlvect_1(sK362)
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79327]) ).
tcf(c_79342,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,X1,sK369(X0,X1)) = k1_rlvect_1(X0) )
| ~ v6_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1880,c_1839]) ).
tcf(c_79343,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,X0,sK369(sK362,X0)) = k1_rlvect_1(sK362) )
| ~ v6_rlvect_1(sK362)
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79342]) ).
tcf(c_79357,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK369(X0,X1),u1_struct_0(X0))
| ~ v6_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1879,c_1839]) ).
tcf(c_79358,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| m1_subset_1(sK369(sK362,X0),u1_struct_0(sK362))
| ~ v6_rlvect_1(sK362)
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79357]) ).
tcf(c_79372,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,k1_rlvect_1(X0),X1) = X1 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1876,c_1839]) ).
tcf(c_79373,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,k1_rlvect_1(sK362),X0) = X0 )
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79372]) ).
tcf(c_79393,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,k5_rlvect_1(X0,X1),X1) = k1_rlvect_1(X0) )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1872,c_1839]) ).
tcf(c_79394,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,k5_rlvect_1(sK362,X0),X0) = k1_rlvect_1(sK362) )
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79393]) ).
tcf(c_79414,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X1)) = k1_rlvect_1(X0) )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1871,c_1839]) ).
tcf(c_79415,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,X0,k5_rlvect_1(sK362,X0)) = k1_rlvect_1(sK362) )
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79414]) ).
tcf(c_79435,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,X1,sK367(X0,X1,X2)) = X2 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1869,c_1839]) ).
tcf(c_79436,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,X0,sK367(sK362,X0,X1)) = X1 )
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79435]) ).
tcf(c_79459,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK367(X0,X1,X2),u1_struct_0(X0))
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1868,c_1839]) ).
tcf(c_79460,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| m1_subset_1(sK367(sK362,X0,X1),u1_struct_0(sK362))
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79459]) ).
tcf(c_79483,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,k5_rlvect_1(X0,X2),k5_rlvect_1(X0,X1)) = k5_rlvect_1(X0,k2_rlvect_1(X0,X1,X2)) )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1863,c_1839]) ).
tcf(c_79484,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,k5_rlvect_1(sK362,X1),k5_rlvect_1(sK362,X0)) = k5_rlvect_1(sK362,k2_rlvect_1(sK362,X0,X1)) )
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79483]) ).
tcf(c_79507,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| m1_subset_1(k2_rlvect_1(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1862,c_1839]) ).
tcf(c_79508,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| m1_subset_1(k2_rlvect_1(sK362,X0,X1),u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79507]) ).
tcf(c_79522,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,k2_rlvect_1(X0,k5_rlvect_1(X0,X2),k5_rlvect_1(X0,X1))) = k2_rlvect_1(X0,X1,X2) )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1841,c_1839]) ).
tcf(c_79523,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k5_rlvect_1(sK362,k2_rlvect_1(sK362,k5_rlvect_1(sK362,X1),k5_rlvect_1(sK362,X0))) = k2_rlvect_1(sK362,X0,X1) )
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79522]) ).
tcf(c_79546,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,k2_rlvect_1(X0,k5_rlvect_1(X0,X1),X2)) = k2_rlvect_1(X0,k5_rlvect_1(X0,X2),X1) )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1840,c_1839]) ).
tcf(c_79547,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k5_rlvect_1(sK362,k2_rlvect_1(sK362,k5_rlvect_1(sK362,X0),X1)) = k2_rlvect_1(sK362,k5_rlvect_1(sK362,X1),X0) )
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79546]) ).
tcf(c_79570,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k1_funct_1(X0,np__1),k1_funct_1(X0,np__2)) = k9_rlvect_1(X1,X0) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(k1_funct_1(X0,np__2),u1_struct_0(X1))
| ~ m1_subset_1(k1_funct_1(X0,np__1),u1_struct_0(X1))
| ( X1 != sK362 )
| ( k3_finseq_1(X0) != np__2 ) ),
inference(resolution_lifted,[status(thm)],[c_1813,c_1839]) ).
tcf(c_79571,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,k1_funct_1(X0,np__1),k1_funct_1(X0,np__2)) = k9_rlvect_1(sK362,X0) )
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ m2_finseq_1(X0,u1_struct_0(sK362))
| ~ m1_subset_1(k1_funct_1(X0,np__2),u1_struct_0(sK362))
| ~ m1_subset_1(k1_funct_1(X0,np__1),u1_struct_0(sK362))
| ( k3_finseq_1(X0) != np__2 ) ),
inference(unflattening,[status(thm)],[c_79570]) ).
tcf(c_79600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),X1,X2),X3) = k1_binop_1(u1_rlvect_1(X0),X1,k1_binop_1(u1_rlvect_1(X0),X2,X3)) )
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1146,c_1839]) ).
tcf(c_79601,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK362)
| ( k1_binop_1(u1_rlvect_1(sK362),k1_binop_1(u1_rlvect_1(sK362),X0,X1),X2) = k1_binop_1(u1_rlvect_1(sK362),X0,k1_binop_1(u1_rlvect_1(sK362),X1,X2)) )
| ~ v4_rlvect_1(sK362)
| ~ m1_subset_1(X2,u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79600]) ).
tcf(c_79621,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_binop_1(u1_rlvect_1(X0),X1,X2) = k1_binop_1(u1_rlvect_1(X0),X2,X1) )
| ~ v3_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1141,c_1839]) ).
tcf(c_79622,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k1_binop_1(u1_rlvect_1(sK362),X0,X1) = k1_binop_1(u1_rlvect_1(sK362),X1,X0) )
| ~ v3_rlvect_1(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79621]) ).
tcf(c_79639,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k8_funct_2(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_rlvect_1(X0),k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X1,X2)) = k2_rlvect_1(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1122,c_1839]) ).
tcf(c_79640,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k8_funct_2(k2_zfmisc_1(u1_struct_0(sK362),u1_struct_0(sK362)),u1_struct_0(sK362),u1_rlvect_1(sK362),k1_domain_1(u1_struct_0(sK362),u1_struct_0(sK362),X0,X1)) = k2_rlvect_1(sK362,X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_79639]) ).
tcf(c_79654,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| m1_subset_1(k1_funct_1(X2,X1),u1_struct_0(X0))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ m2_finseq_1(X2,u1_struct_0(X0))
| ~ m2_subset_1(k3_finseq_1(X2),k1_numbers,k5_numbers)
| ~ r2_hidden(X1,k2_finseq_1(k3_finseq_1(X2)))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_1839,c_2057]) ).
tcf(c_79655,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| m1_subset_1(k1_funct_1(X1,X0),u1_struct_0(sK362))
| ~ m2_finseq_1(X1,u1_struct_0(sK362))
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ m2_subset_1(k3_finseq_1(X1),k1_numbers,k5_numbers)
| ~ r2_hidden(X0,k2_finseq_1(k3_finseq_1(X1))) ),
inference(unflattening,[status(thm)],[c_79654]) ).
tcf(c_82375,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK362)
| ( k5_rlvect_1(X0,X1) = X2 )
| ~ sP15(sK362)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 )
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_78277,c_79067]) ).
tcf(c_82376,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k5_rlvect_1(sK362,X0) = X1 )
| ~ sP15(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362))
| ( k2_rlvect_1(sK362,X0,X1) != k1_rlvect_1(sK362) ) ),
inference(unflattening,[status(thm)],[c_82375]) ).
tcf(c_82401,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK362)
| ( k1_rlvect_1(X0) = X2 )
| ~ sP15(sK362)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 )
| ( k2_rlvect_1(X0,X1,X2) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_78254,c_79067]) ).
tcf(c_82402,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k1_rlvect_1(sK362) = X1 )
| ~ sP15(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362))
| ( k2_rlvect_1(sK362,X0,X1) != X0 ) ),
inference(unflattening,[status(thm)],[c_82401]) ).
tcf(c_82426,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK362)
| ( k1_rlvect_1(X0) = X1 )
| ~ sP15(sK362)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 )
| ( k2_rlvect_1(X0,X1,X2) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_78234,c_79067]) ).
tcf(c_82427,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k1_rlvect_1(sK362) = X0 )
| ~ sP15(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362))
| ( k2_rlvect_1(sK362,X0,X1) != X1 ) ),
inference(unflattening,[status(thm)],[c_82426]) ).
tcf(c_82451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(sK362)
| ( X2 = X3 )
| ~ sP15(sK362)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 )
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X1,X3) ) ),
inference(resolution_lifted,[status(thm)],[c_78208,c_79067]) ).
tcf(c_82452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(sK362)
| ( X1 = X2 )
| ~ sP15(sK362)
| ~ m1_subset_1(X3,u1_struct_0(sK362))
| ~ m1_subset_1(X2,u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362))
| ( k2_rlvect_1(sK362,X0,X1) != k2_rlvect_1(sK362,X0,X2) ) ),
inference(unflattening,[status(thm)],[c_82451]) ).
tcf(c_82482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(sK362)
| ( X1 = X3 )
| ~ sP15(sK362)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 )
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X3,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_78182,c_79067]) ).
tcf(c_82483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(sK362)
| ( X0 = X2 )
| ~ sP15(sK362)
| ~ m1_subset_1(X3,u1_struct_0(sK362))
| ~ m1_subset_1(X2,u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362))
| ( k2_rlvect_1(sK362,X0,X1) != k2_rlvect_1(sK362,X2,X1) ) ),
inference(unflattening,[status(thm)],[c_82482]) ).
tcf(c_82512,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK362)
| ( k5_rlvect_1(X0,X2) = X1 )
| ~ sP15(sK362)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 )
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_78161,c_79067]) ).
tcf(c_82513,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k5_rlvect_1(sK362,X1) = X0 )
| ~ sP15(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362))
| ( k2_rlvect_1(sK362,X0,X1) != k1_rlvect_1(sK362) ) ),
inference(unflattening,[status(thm)],[c_82512]) ).
tcf(c_82544,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| sP15(X0)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ v3_rlvect_1(sK362)
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_5255,c_79078]) ).
tcf(c_82545,plain,
( sP15(sK362)
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362)
| ~ v3_rlvect_1(sK362) ),
inference(unflattening,[status(thm)],[c_82544]) ).
tcf(c_82568,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| v6_rlvect_1(X0)
| ~ sP15(sK362)
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_5240,c_79067]) ).
tcf(c_82569,plain,
( v6_rlvect_1(sK362)
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(unflattening,[status(thm)],[c_82568]) ).
tcf(c_82581,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| v5_rlvect_1(X0)
| ~ sP15(sK362)
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_5238,c_79067]) ).
tcf(c_82582,plain,
( v5_rlvect_1(sK362)
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(unflattening,[status(thm)],[c_82581]) ).
tcf(c_82594,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| v4_rlvect_1(X0)
| ~ sP15(sK362)
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_4956,c_79067]) ).
tcf(c_82595,plain,
( v4_rlvect_1(sK362)
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(unflattening,[status(thm)],[c_82594]) ).
tcf(c_82607,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| v3_rlvect_1(X0)
| ~ sP15(sK362)
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_4954,c_79067]) ).
tcf(c_82608,plain,
( v3_rlvect_1(sK362)
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(unflattening,[status(thm)],[c_82607]) ).
tcf(c_82637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(sK362)
| ( 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)) )
| ~ sP15(sK362)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_78738,c_79067]) ).
tcf(c_82638,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK362)
| ( k1_binop_1(u1_rlvect_1(sK362),k1_binop_1(u1_rlvect_1(sK362),X0,X1),X2) = k1_binop_1(u1_rlvect_1(sK362),X0,k1_binop_1(u1_rlvect_1(sK362),X1,X2)) )
| ~ sP15(sK362)
| ~ m1_subset_1(X2,u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_82637]) ).
tcf(c_82663,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(X1,k1_funct_1(X0,np__1),k1_funct_1(X0,np__2)) = k9_rlvect_1(X1,X0) )
| ~ sP15(sK362)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(k1_funct_1(X0,np__2),u1_struct_0(X1))
| ~ m1_subset_1(k1_funct_1(X0,np__1),u1_struct_0(X1))
| ( X1 != sK362 )
| ( k3_finseq_1(X0) != np__2 ) ),
inference(resolution_lifted,[status(thm)],[c_78713,c_79067]) ).
tcf(c_82664,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,k1_funct_1(X0,np__1),k1_funct_1(X0,np__2)) = k9_rlvect_1(sK362,X0) )
| ~ sP15(sK362)
| ~ m2_finseq_1(X0,u1_struct_0(sK362))
| ~ m1_subset_1(k1_funct_1(X0,np__2),u1_struct_0(sK362))
| ~ m1_subset_1(k1_funct_1(X0,np__1),u1_struct_0(sK362))
| ( k3_finseq_1(X0) != np__2 ) ),
inference(unflattening,[status(thm)],[c_82663]) ).
tcf(c_82692,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK362)
| ( k5_rlvect_1(X0,k2_rlvect_1(X0,k5_rlvect_1(X0,X1),X2)) = k2_rlvect_1(X0,k5_rlvect_1(X0,X2),X1) )
| ~ sP15(sK362)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_78684,c_79067]) ).
tcf(c_82693,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k5_rlvect_1(sK362,k2_rlvect_1(sK362,k5_rlvect_1(sK362,X0),X1)) = k2_rlvect_1(sK362,k5_rlvect_1(sK362,X1),X0) )
| ~ sP15(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_82692]) ).
tcf(c_82715,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK362)
| ( k5_rlvect_1(X0,k2_rlvect_1(X0,k5_rlvect_1(X0,X2),k5_rlvect_1(X0,X1))) = k2_rlvect_1(X0,X1,X2) )
| ~ sP15(sK362)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_78659,c_79067]) ).
tcf(c_82716,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k5_rlvect_1(sK362,k2_rlvect_1(sK362,k5_rlvect_1(sK362,X1),k5_rlvect_1(sK362,X0))) = k2_rlvect_1(sK362,X0,X1) )
| ~ sP15(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_82715]) ).
tcf(c_82748,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(X0,k5_rlvect_1(X0,X2),k5_rlvect_1(X0,X1)) = k5_rlvect_1(X0,k2_rlvect_1(X0,X1,X2)) )
| ~ sP15(sK362)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_78615,c_79067]) ).
tcf(c_82749,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,k5_rlvect_1(sK362,X1),k5_rlvect_1(sK362,X0)) = k5_rlvect_1(sK362,k2_rlvect_1(sK362,X0,X1)) )
| ~ sP15(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_82748]) ).
tcf(c_82771,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK362)
| m1_subset_1(sK367(X0,X1,X2),u1_struct_0(X0))
| ~ sP15(sK362)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_78590,c_79067]) ).
tcf(c_82772,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| m1_subset_1(sK367(sK362,X0,X1),u1_struct_0(sK362))
| ~ sP15(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_82771]) ).
tcf(c_82794,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(X0,X1,sK367(X0,X1,X2)) = X2 )
| ~ sP15(sK362)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_78565,c_79067]) ).
tcf(c_82795,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,X0,sK367(sK362,X0,X1)) = X1 )
| ~ sP15(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_82794]) ).
tcf(c_82817,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X1)) = k1_rlvect_1(X0) )
| ~ sP15(sK362)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_78541,c_79067]) ).
tcf(c_82818,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,X0,k5_rlvect_1(sK362,X0)) = k1_rlvect_1(sK362) )
| ~ sP15(sK362)
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_82817]) ).
tcf(c_82837,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(X0,k5_rlvect_1(X0,X1),X1) = k1_rlvect_1(X0) )
| ~ sP15(sK362)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_78519,c_79067]) ).
tcf(c_82838,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,k5_rlvect_1(sK362,X0),X0) = k1_rlvect_1(sK362) )
| ~ sP15(sK362)
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_82837]) ).
tcf(c_82857,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(X0,k1_rlvect_1(X0),X1) = X1 )
| ~ sP15(sK362)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_78497,c_79067]) ).
tcf(c_82858,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,k1_rlvect_1(sK362),X0) = X0 )
| ~ sP15(sK362)
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_82857]) ).
tcf(c_82877,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| m1_subset_1(sK369(X0,X1),u1_struct_0(X0))
| ~ sP15(sK362)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_78475,c_79067]) ).
tcf(c_82878,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| m1_subset_1(sK369(sK362,X0),u1_struct_0(sK362))
| ~ sP15(sK362)
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_82877]) ).
tcf(c_82897,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(X0,X1,sK369(X0,X1)) = k1_rlvect_1(X0) )
| ~ sP15(sK362)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_78457,c_79067]) ).
tcf(c_82898,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,X0,sK369(sK362,X0)) = k1_rlvect_1(sK362) )
| ~ sP15(sK362)
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_82897]) ).
tcf(c_82917,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1 )
| ~ sP15(sK362)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_78440,c_79067]) ).
tcf(c_82918,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,X0,k1_rlvect_1(sK362)) = X0 )
| ~ sP15(sK362)
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_82917]) ).
tcf(c_82947,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k9_rlvect_1(X1,X0) = k1_funct_1(X0,np__1) )
| ~ sP15(sK362)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( X1 != sK362 )
| ( k3_finseq_1(X0) != np__1 ) ),
inference(resolution_lifted,[status(thm)],[c_78365,c_79067]) ).
tcf(c_82948,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| ( k9_rlvect_1(sK362,X0) = k1_funct_1(X0,np__1) )
| ~ sP15(sK362)
| ~ m2_finseq_1(X0,u1_struct_0(sK362))
| ( k3_finseq_1(X0) != np__1 ) ),
inference(unflattening,[status(thm)],[c_82947]) ).
tcf(c_82970,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k9_rlvect_1(X1,X0) = k1_rlvect_1(X1) )
| ~ sP15(sK362)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( X1 != sK362 )
| ( k3_finseq_1(X0) != np__0 ) ),
inference(resolution_lifted,[status(thm)],[c_78340,c_79067]) ).
tcf(c_82971,plain,
! [X0: $i] :
( v3_struct_0(sK362)
| ( k9_rlvect_1(sK362,X0) = k1_rlvect_1(sK362) )
| ~ sP15(sK362)
| ~ m2_finseq_1(X0,u1_struct_0(sK362))
| ( k3_finseq_1(X0) != np__0 ) ),
inference(unflattening,[status(thm)],[c_82970]) ).
tcf(c_83001,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK362)
| ( k1_binop_1(u1_rlvect_1(X0),X1,X2) = k1_binop_1(u1_rlvect_1(X0),X2,X1) )
| ~ sP15(sK362)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_78749,c_79067]) ).
tcf(c_83002,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k1_binop_1(u1_rlvect_1(sK362),X0,X1) = k1_binop_1(u1_rlvect_1(sK362),X1,X0) )
| ~ sP15(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_83001]) ).
tcf(c_83024,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(X0,X1,X2) = k2_rlvect_1(X0,X2,X1) )
| ~ sP15(sK362)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK362 ) ),
inference(resolution_lifted,[status(thm)],[c_78394,c_79067]) ).
tcf(c_83025,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| ( k2_rlvect_1(sK362,X0,X1) = k2_rlvect_1(sK362,X1,X0) )
| ~ sP15(sK362)
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(unflattening,[status(thm)],[c_83024]) ).
tcf(c_93007,plain,
! [X0: $i] :
( v3_realset2(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(global_subsumption_just,[status(thm)],[c_133,c_1526,c_57631,c_76359]) ).
tcf(c_93008,plain,
! [X0: $i] :
( v3_realset2(X0)
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_93007]) ).
tcf(c_93010,plain,
! [X0: $i] :
( v3_realset2(X0)
| ~ v1_xboole_0(k7_lopclset(X0))
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_132,c_1526,c_57631,c_76401]) ).
tcf(c_93011,plain,
! [X0: $i] :
( v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_lopclset(X0)) ),
inference(renaming,[status(thm)],[c_93010]) ).
tcf(c_93019,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_71]) ).
tcf(c_93027,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_1063]) ).
tcf(c_93067,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK125(X0),sK125(X0)),k2_tarski(sK125(X0),sK127(X0))),X0)
| v1_funct_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_33778]) ).
tcf(c_93068,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK125(X0),sK125(X0)),k2_tarski(sK125(X0),sK127(X0))),X0) ),
inference(renaming,[status(thm)],[c_93067]) ).
tcf(c_93069,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK125(X0),sK125(X0)),k2_tarski(sK125(X0),sK126(X0))),X0)
| v1_funct_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_33785]) ).
tcf(c_93070,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK125(X0),sK125(X0)),k2_tarski(sK125(X0),sK126(X0))),X0) ),
inference(renaming,[status(thm)],[c_93069]) ).
tcf(c_93079,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK56(X1,X0))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_4317]) ).
tcf(c_93081,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(sK56(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_4319]) ).
tcf(c_93083,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK56(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_4321]) ).
tcf(c_93113,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X0,k5_finsub_1(X1))
| r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_4356]) ).
tcf(c_93114,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(renaming,[status(thm)],[c_93113]) ).
tcf(c_93257,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_3968]) ).
tcf(c_93383,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_4644]) ).
tcf(c_93384,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_93383]) ).
tcf(c_93421,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_353,c_346]) ).
tcf(c_93422,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| ~ v1_xboole_0(k4_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(renaming,[status(thm)],[c_93421]) ).
tcf(c_93427,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_4706]) ).
tcf(c_93428,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_93427]) ).
tcf(c_93429,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_4708]) ).
tcf(c_93430,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_93429]) ).
tcf(c_93499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK157(X0),sK157(X0)),k2_tarski(sK157(X0),sK158(X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_36093]) ).
tcf(c_93501,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK162(X1,X2,X0),sK162(X1,X2,X0)),k2_tarski(sK162(X1,X2,X0),sK163(X1,X2,X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_39564]) ).
tcf(c_93537,plain,
! [X0: $i] :
( v1_int_1(k2_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3959]) ).
tcf(c_93539,plain,
! [X0: $i] :
( v1_int_1(k6_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3956]) ).
tcf(c_93611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK153(X0,X1,X3,X2,X4),k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k4_xboole_0(X1,X2)),k4_xboole_0(X3,k4_xboole_0(X3,X4)))) ),
inference(prop_impl_just,[status(thm)],[c_38787]) ).
tcf(c_93613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK154(X0,X1,X3,X2,X4),k4_xboole_0(X3,k4_xboole_0(X3,X4)))
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k4_xboole_0(X1,X2)),k4_xboole_0(X3,k4_xboole_0(X3,X4)))) ),
inference(prop_impl_just,[status(thm)],[c_38780]) ).
tcf(c_93615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_tarski(k2_tarski(sK153(X0,X1,X3,X2,X4),sK153(X0,X1,X3,X2,X4)),k2_tarski(sK153(X0,X1,X3,X2,X4),sK154(X0,X1,X3,X2,X4))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k4_xboole_0(X1,X2)),k4_xboole_0(X3,k4_xboole_0(X3,X4)))) ),
inference(prop_impl_just,[status(thm)],[c_43819]) ).
tcf(c_97752,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| m1_subset_1(sK25(X2,X0),X2)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_9243,c_93019]) ).
tcf(c_97753,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r2_hidden(sK26(X1,X2,X0),X2)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_9244,c_93019]) ).
tcf(c_97754,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| m1_subset_1(sK26(X1,X2,X0),X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_9245,c_93019]) ).
tcf(c_97755,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)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_9254,c_93019]) ).
tcf(c_97756,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK51(X1,X2,X0),X1)
| ( X2 = X0 )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_9255,c_93019]) ).
tcf(c_97757,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)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_9267,c_93027]) ).
tcf(c_97758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK147(X3,X0),sK147(X3,X0)),k2_tarski(sK147(X3,X0),sK148(X3,X0))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK147(X3,X0),sK147(X3,X0)),k2_tarski(sK147(X3,X0),sK148(X3,X0))),X0)
| ( X0 = X3 )
| ~ m1_relset_1(X3,X4,X5)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_44691,c_93027]) ).
tcf(c_169965,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ( k2_rlvect_1(sK362,X1,X0) = k2_rlvect_1(sK362,X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_83025]) ).
tcf(c_169966,plain,
( iPr_def_10
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83025]) ).
tcf(c_169967,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( k1_binop_1(u1_rlvect_1(sK362),X1,X0) = k1_binop_1(u1_rlvect_1(sK362),X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_83002]) ).
tcf(c_169968,plain,
( iPr_def_11
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83002]) ).
tcf(c_169969,plain,
! [X0: $i] :
( ~ iPr_def_12
| ( k3_finseq_1(X0) != np__0 )
| ( k9_rlvect_1(sK362,X0) = k1_rlvect_1(sK362) )
| ~ m2_finseq_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_82971]) ).
tcf(c_169970,plain,
( iPr_def_12
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82971]) ).
tcf(c_169971,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( k3_finseq_1(X0) != np__1 )
| ( k9_rlvect_1(sK362,X0) = k1_funct_1(X0,np__1) )
| ~ m2_finseq_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_82948]) ).
tcf(c_169972,plain,
( iPr_def_13
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82948]) ).
tcf(c_169973,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( k2_rlvect_1(sK362,X0,k1_rlvect_1(sK362)) = X0 )
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_82918]) ).
tcf(c_169974,plain,
( iPr_def_14
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82918]) ).
tcf(c_169975,plain,
! [X0: $i] :
( ~ iPr_def_15
| ( k2_rlvect_1(sK362,X0,sK369(sK362,X0)) = k1_rlvect_1(sK362) )
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_82898]) ).
tcf(c_169976,plain,
( iPr_def_15
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82898]) ).
tcf(c_169977,plain,
! [X0: $i] :
( ~ iPr_def_16
| m1_subset_1(sK369(sK362,X0),u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_82878]) ).
tcf(c_169978,plain,
( iPr_def_16
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82878]) ).
tcf(c_169979,plain,
! [X0: $i] :
( ~ iPr_def_17
| ( k2_rlvect_1(sK362,k1_rlvect_1(sK362),X0) = X0 )
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_82858]) ).
tcf(c_169980,plain,
( iPr_def_17
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82858]) ).
tcf(c_169981,plain,
! [X0: $i] :
( ~ iPr_def_18
| ( k2_rlvect_1(sK362,k5_rlvect_1(sK362,X0),X0) = k1_rlvect_1(sK362) )
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_82838]) ).
tcf(c_169982,plain,
( iPr_def_18
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82838]) ).
tcf(c_169983,plain,
! [X0: $i] :
( ~ iPr_def_19
| ( k2_rlvect_1(sK362,X0,k5_rlvect_1(sK362,X0)) = k1_rlvect_1(sK362) )
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_82818]) ).
tcf(c_169984,plain,
( iPr_def_19
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82818]) ).
tcf(c_169985,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_20
| ( k2_rlvect_1(sK362,X1,sK367(sK362,X1,X0)) = X0 )
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_82795]) ).
tcf(c_169986,plain,
( iPr_def_20
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82795]) ).
tcf(c_169987,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_21
| m1_subset_1(sK367(sK362,X1,X0),u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_82772]) ).
tcf(c_169988,plain,
( iPr_def_21
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82772]) ).
tcf(c_169989,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_22
| ( k2_rlvect_1(sK362,k5_rlvect_1(sK362,X0),k5_rlvect_1(sK362,X1)) = k5_rlvect_1(sK362,k2_rlvect_1(sK362,X1,X0)) )
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_82749]) ).
tcf(c_169990,plain,
( iPr_def_22
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82749]) ).
tcf(c_169991,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_23
| ( k5_rlvect_1(sK362,k2_rlvect_1(sK362,k5_rlvect_1(sK362,X0),k5_rlvect_1(sK362,X1))) = k2_rlvect_1(sK362,X1,X0) )
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_82716]) ).
tcf(c_169992,plain,
( iPr_def_23
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82716]) ).
tcf(c_169993,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_24
| ( k5_rlvect_1(sK362,k2_rlvect_1(sK362,k5_rlvect_1(sK362,X1),X0)) = k2_rlvect_1(sK362,k5_rlvect_1(sK362,X0),X1) )
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_82693]) ).
tcf(c_169994,plain,
( iPr_def_24
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82693]) ).
tcf(c_169995,plain,
! [X0: $i] :
( ~ iPr_def_25
| ( k3_finseq_1(X0) != np__2 )
| ( k2_rlvect_1(sK362,k1_funct_1(X0,np__1),k1_funct_1(X0,np__2)) = k9_rlvect_1(sK362,X0) )
| ~ m1_subset_1(k1_funct_1(X0,np__1),u1_struct_0(sK362))
| ~ m1_subset_1(k1_funct_1(X0,np__2),u1_struct_0(sK362))
| ~ m2_finseq_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_82664]) ).
tcf(c_169996,plain,
( iPr_def_25
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82664]) ).
tcf(c_169997,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_26
| ( k1_binop_1(u1_rlvect_1(sK362),k1_binop_1(u1_rlvect_1(sK362),X1,X0),X2) = k1_binop_1(u1_rlvect_1(sK362),X1,k1_binop_1(u1_rlvect_1(sK362),X0,X2)) )
| ~ m1_subset_1(X2,u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_82638]) ).
tcf(c_169998,plain,
( iPr_def_26
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82638]) ).
tcf(c_169999,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_27
| ( k5_rlvect_1(sK362,X0) = X1 )
| ( k2_rlvect_1(sK362,X1,X0) != k1_rlvect_1(sK362) )
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_82513]) ).
tcf(c_170000,plain,
( iPr_def_27
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82513]) ).
tcf(c_170001,plain,
! [X0: $i] :
( ~ iPr_def_28
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_82483]) ).
tcf(c_170002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_29
| ( k2_rlvect_1(sK362,X1,X0) != k2_rlvect_1(sK362,X2,X0) )
| ( X1 = X2 )
| ~ m1_subset_1(X2,u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_82483]) ).
tcf(c_170003,plain,
( iPr_def_29
| iPr_def_28
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82483]) ).
tcf(c_170004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_30
| ( k2_rlvect_1(sK362,X1,X0) != k2_rlvect_1(sK362,X1,X2) )
| ( X0 = X2 )
| ~ m1_subset_1(X2,u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_82452]) ).
tcf(c_170005,plain,
( iPr_def_30
| iPr_def_28
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82452]) ).
tcf(c_170006,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_31
| ( k1_rlvect_1(sK362) = X1 )
| ( k2_rlvect_1(sK362,X1,X0) != X0 )
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_82427]) ).
tcf(c_170007,plain,
( iPr_def_31
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82427]) ).
tcf(c_170008,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_32
| ( k1_rlvect_1(sK362) = X0 )
| ( k2_rlvect_1(sK362,X1,X0) != X1 )
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_82402]) ).
tcf(c_170009,plain,
( iPr_def_32
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82402]) ).
tcf(c_170010,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_33
| ( k5_rlvect_1(sK362,X1) = X0 )
| ( k2_rlvect_1(sK362,X1,X0) != k1_rlvect_1(sK362) )
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_82376]) ).
tcf(c_170011,plain,
( iPr_def_33
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_82376]) ).
tcf(c_170012,plain,
( iPr_def_11
| v3_struct_0(sK362)
| ~ v3_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79622]) ).
tcf(c_170013,plain,
( iPr_def_26
| v3_struct_0(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79601]) ).
tcf(c_170014,plain,
( iPr_def_25
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79571]) ).
tcf(c_170015,plain,
( iPr_def_24
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79547]) ).
tcf(c_170016,plain,
( iPr_def_23
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79523]) ).
tcf(c_170017,plain,
( iPr_def_22
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79484]) ).
tcf(c_170018,plain,
( iPr_def_21
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79460]) ).
tcf(c_170019,plain,
( iPr_def_20
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79436]) ).
tcf(c_170020,plain,
( iPr_def_19
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79415]) ).
tcf(c_170021,plain,
( iPr_def_18
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79394]) ).
tcf(c_170022,plain,
( iPr_def_17
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79373]) ).
tcf(c_170023,plain,
( iPr_def_16
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79358]) ).
tcf(c_170024,plain,
( iPr_def_15
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79343]) ).
tcf(c_170025,plain,
( iPr_def_14
| v3_struct_0(sK362)
| ~ v5_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79328]) ).
tcf(c_170026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_34
| ( k2_rlvect_1(sK362,k2_rlvect_1(sK362,X1,X0),X2) = k2_rlvect_1(sK362,X1,k2_rlvect_1(sK362,X0,X2)) )
| ~ m1_subset_1(X2,u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_79307]) ).
tcf(c_170027,plain,
( iPr_def_34
| v3_struct_0(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79307]) ).
tcf(c_170028,plain,
( iPr_def_10
| v3_struct_0(sK362)
| ~ v3_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79289]) ).
tcf(c_170029,plain,
( iPr_def_13
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79250]) ).
tcf(c_170030,plain,
( iPr_def_12
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79226]) ).
tcf(c_170031,plain,
( iPr_def_33
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79098]) ).
tcf(c_170032,plain,
( iPr_def_32
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79041]) ).
tcf(c_170033,plain,
( iPr_def_31
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79014]) ).
tcf(c_170034,plain,
( iPr_def_30
| iPr_def_28
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_78982]) ).
tcf(c_170035,plain,
( iPr_def_29
| iPr_def_28
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_78949]) ).
tcf(c_170036,plain,
( iPr_def_27
| v3_struct_0(sK362)
| ~ v6_rlvect_1(sK362)
| ~ v5_rlvect_1(sK362)
| ~ v4_rlvect_1(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_78922]) ).
tcf(c_170037,plain,
! [X0: $i] :
( ~ iPr_def_35
| ( k2_rlvect_1(sK362,sK368(sK362),X0) != k1_rlvect_1(sK362) )
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_78907]) ).
tcf(c_170038,plain,
( iPr_def_35
| v6_rlvect_1(sK362)
| v3_struct_0(sK362) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_78907]) ).
tcf(c_170039,plain,
! [X0: $i] :
( ~ iPr_def_36
| ~ v1_xreal_0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_1782]) ).
tcf(c_170040,plain,
! [X0: $i] :
( ~ iPr_def_37
| ~ v1_xreal_0(X0)
| r1_xreal_0(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_1782]) ).
tcf(c_170041,plain,
( iPr_def_37
| iPr_def_36 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1782]) ).
tcf(c_222995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| m1_subset_1(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_34474,c_97752]) ).
tcf(c_223025,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,np__0)
| m1_subset_1(sK25(X0,np__0),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_97752]) ).
tcf(c_223080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_222995,c_93114]) ).
tcf(c_223305,plain,
! [X0: $i] :
( r1_tarski(X0,np__0)
| m1_subset_1(sK25(X0,np__0),X0) ),
inference(superposition,[status(thm)],[c_101,c_223025]) ).
tcf(c_223456,plain,
~ iPr_def_36,
inference(superposition,[status(thm)],[c_1079,c_170039]) ).
tcf(c_223462,plain,
iPr_def_37,
inference(backward_subsumption_resolution,[status(thm)],[c_170041,c_223456]) ).
tcf(c_223529,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,np__0))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(np__0,X1)) ),
inference(superposition,[status(thm)],[c_522,c_223080]) ).
tcf(c_223801,plain,
v1_membered(np__0),
inference(superposition,[status(thm)],[c_1803,c_168]) ).
tcf(c_223903,plain,
v4_ordinal2(sK29(k5_numbers)),
inference(superposition,[status(thm)],[c_105,c_2183]) ).
tcf(c_224097,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(k2_xboole_0(X2,X1),np__0)),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(k2_xboole_0(X2,X1),k4_xboole_0(k2_xboole_0(X2,X1),k2_xboole_0(X2,X1))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_30376,c_223080]) ).
tcf(c_224137,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(np__0,X1)) ),
inference(demodulation,[status(thm)],[c_223529,c_522]) ).
tcf(c_224296,plain,
np__0 = sK409,
inference(superposition,[status(thm)],[c_2142,c_166]) ).
tcf(c_224361,plain,
~ v2_xreal_0(np__0),
inference(demodulation,[status(thm)],[c_2145,c_224296]) ).
tcf(c_224362,plain,
v1_xreal_0(np__0),
inference(demodulation,[status(thm)],[c_2144,c_224296]) ).
tcf(c_225367,plain,
! [X0: $i] :
( v2_membered(np__0)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_30376,c_2462]) ).
tcf(c_225382,plain,
! [X0: $i] :
( v3_membered(np__0)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_30376,c_2463]) ).
tcf(c_225416,plain,
! [X0: $i] :
( v2_membered(np__0)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2053,c_225367]) ).
tcf(c_225431,plain,
! [X0: $i] :
( v3_membered(np__0)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2053,c_225382]) ).
tcf(c_225446,plain,
v2_membered(np__0),
inference(superposition,[status(thm)],[c_223903,c_225416]) ).
tcf(c_225455,plain,
v3_membered(np__0),
inference(superposition,[status(thm)],[c_223903,c_225431]) ).
tcf(c_225495,plain,
( v2_membered(k5_finsub_1(np__0))
| ~ v1_xreal_0(np__0) ),
inference(superposition,[status(thm)],[c_919,c_2494]) ).
tcf(c_225500,plain,
v2_membered(k5_finsub_1(np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_225495,c_224362]) ).
tcf(c_225710,plain,
! [X0: $i] : ~ r2_hidden(X0,X0),
inference(superposition,[status(thm)],[c_101,c_69]) ).
tcf(c_225815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_222995,c_72]) ).
tcf(c_225885,plain,
! [X0: $i] : ~ r1_tarski(k1_zfmisc_1(X0),X0),
inference(superposition,[status(thm)],[c_93,c_225710]) ).
tcf(c_226034,plain,
( v1_xreal_0(sK41(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_167,c_1783]) ).
tcf(c_226103,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| r1_tarski(sK25(k5_finsub_1(X0),k2_xboole_0(X2,X1)),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(demodulation,[status(thm)],[c_224097,c_504,c_825,c_30376]) ).
tcf(c_226146,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_103,c_192]) ).
tcf(c_226155,plain,
! [X0: $i] :
( r2_hidden(sK47(k1_numbers),k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_1784,c_192]) ).
tcf(c_226158,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_2459,c_192]) ).
tcf(c_226184,plain,
( r2_hidden(sK47(k1_numbers),k1_numbers)
| ~ v1_xreal_0(np__0) ),
inference(instantiation,[status(thm)],[c_226155]) ).
tcf(c_226396,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,np__0),k2_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_492,c_34474]) ).
tcf(c_226397,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X1,np__0)),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X1,X2))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(np__0,k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_492,c_224137]) ).
tcf(c_226405,plain,
! [X0: $i,X1: $i] : r1_tarski(X0,k2_xboole_0(X1,X0)),
inference(light_normalisation,[status(thm)],[c_226396,c_825]) ).
tcf(c_226464,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| r1_tarski(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_524,c_226103]) ).
tcf(c_226468,plain,
! [X0: $i] : k2_xboole_0(np__0,X0) = X0,
inference(superposition,[status(thm)],[c_524,c_522]) ).
tcf(c_226645,plain,
( v1_xreal_0(sK118(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_558,c_1783]) ).
tcf(c_227072,plain,
( sP7(sK293)
| ~ sP8(sK293) ),
inference(superposition,[status(thm)],[c_1367,c_1223]) ).
tcf(c_227232,plain,
( sP8(sK293)
| ~ v1_relat_1(sK293) ),
inference(superposition,[status(thm)],[c_1366,c_1234]) ).
tcf(c_227243,plain,
sP8(sK293),
inference(forward_subsumption_resolution,[status(thm)],[c_227232,c_1365]) ).
tcf(c_227292,plain,
sP7(sK293),
inference(backward_subsumption_resolution,[status(thm)],[c_227072,c_227243]) ).
tcf(c_227427,plain,
~ iPr_def_28,
inference(superposition,[status(thm)],[c_105,c_170001]) ).
tcf(c_227636,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),np__0),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(np__0,k4_xboole_0(np__0,k2_xboole_0(X2,X1))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_824,c_225815]) ).
tcf(c_228016,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| m1_subset_1(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_226146,c_186]) ).
tcf(c_228019,plain,
! [X0: $i] :
( v1_xreal_0(sK47(k1_numbers))
| r1_tarski(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_226146,c_1783]) ).
tcf(c_228097,plain,
! [X0: $i] :
( v1_xreal_0(sK47(k1_numbers))
| ~ r2_hidden(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_228019,c_69]) ).
tcf(c_228117,plain,
( v1_xreal_0(sK47(k1_numbers))
| ~ r2_hidden(np__0,k1_numbers) ),
inference(instantiation,[status(thm)],[c_228097]) ).
tcf(c_228264,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| m1_subset_1(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_226158,c_186]) ).
tcf(c_228327,plain,
( v1_xreal_0(sK432(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2378,c_1783]) ).
tcf(c_228347,plain,
( v1_xreal_0(sK433(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2380,c_1783]) ).
tcf(c_228367,plain,
( v1_xreal_0(sK434(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2382,c_1783]) ).
tcf(c_228387,plain,
( v1_xreal_0(sK435(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2384,c_1783]) ).
tcf(c_228473,plain,
( v1_xreal_0(sK436(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2386,c_1783]) ).
tcf(c_228493,plain,
( v1_xreal_0(sK437(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2388,c_1783]) ).
tcf(c_228592,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| r1_tarski(sK25(k5_finsub_1(X0),X1),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(demodulation,[status(thm)],[c_226397,c_492,c_825,c_226468]) ).
tcf(c_228605,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| r1_tarski(sK25(k5_finsub_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_226405,c_228592]) ).
tcf(c_229106,plain,
( v1_xboole_0(u1_struct_0(sK23))
| r2_hidden(sK24,u1_struct_0(sK23)) ),
inference(superposition,[status(thm)],[c_51,c_188]) ).
tcf(c_229108,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK29(X0),X0) ),
inference(superposition,[status(thm)],[c_105,c_188]) ).
tcf(c_229345,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_229108,c_192]) ).
tcf(c_229413,plain,
! [X0: $i] :
( v1_int_1(X0)
| ~ v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_189,c_2187]) ).
tcf(c_229445,plain,
( v1_int_1(np__0)
| ~ v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(np__0) ),
inference(instantiation,[status(thm)],[c_229413]) ).
tcf(c_229721,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_229345,c_186]) ).
tcf(c_229791,plain,
( v1_xboole_0(k5_numbers)
| ~ v3_xreal_0(sK47(k5_numbers)) ),
inference(superposition,[status(thm)],[c_229721,c_2186]) ).
tcf(c_229792,plain,
( v1_xboole_0(k5_numbers)
| v1_int_1(sK47(k5_numbers)) ),
inference(superposition,[status(thm)],[c_229721,c_2187]) ).
tcf(c_229795,plain,
( v1_xboole_0(k5_numbers)
| v4_ordinal2(sK47(k5_numbers)) ),
inference(superposition,[status(thm)],[c_229721,c_2183]) ).
tcf(c_229796,plain,
( v1_xboole_0(k5_numbers)
| v1_finset_1(sK47(k5_numbers)) ),
inference(superposition,[status(thm)],[c_229721,c_2174]) ).
tcf(c_230361,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),X1),
inference(superposition,[status(thm)],[c_515,c_225885]) ).
tcf(c_230479,plain,
! [X0: $i] :
( v1_int_1(sK47(k5_numbers))
| r1_tarski(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_228016,c_2187]) ).
tcf(c_230482,plain,
! [X0: $i] :
( v4_ordinal2(sK47(k5_numbers))
| r1_tarski(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_228016,c_2183]) ).
tcf(c_230483,plain,
! [X0: $i] :
( v1_finset_1(sK47(k5_numbers))
| r1_tarski(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_228016,c_2174]) ).
tcf(c_230540,plain,
! [X0: $i] :
( v1_int_1(sK47(k5_numbers))
| ~ r2_hidden(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_230479,c_69]) ).
tcf(c_230557,plain,
( v1_int_1(sK47(k5_numbers))
| ~ r2_hidden(np__0,k5_numbers) ),
inference(instantiation,[status(thm)],[c_230540]) ).
tcf(c_230706,plain,
! [X0: $i] :
( v4_ordinal2(sK47(k5_numbers))
| ~ r2_hidden(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_230482,c_69]) ).
tcf(c_230723,plain,
( v4_ordinal2(sK47(k5_numbers))
| ~ r2_hidden(np__0,k5_numbers) ),
inference(instantiation,[status(thm)],[c_230706]) ).
tcf(c_230731,plain,
! [X0: $i] :
( v1_finset_1(sK47(k5_numbers))
| ~ r2_hidden(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_230483,c_69]) ).
tcf(c_230748,plain,
( v1_finset_1(sK47(k5_numbers))
| ~ r2_hidden(np__0,k5_numbers) ),
inference(instantiation,[status(thm)],[c_230731]) ).
tcf(c_230792,plain,
( v1_membered(k3_tarski(k5_numbers))
| v1_int_1(sK47(k5_numbers)) ),
inference(superposition,[status(thm)],[c_228264,c_2187]) ).
tcf(c_230795,plain,
( v1_membered(k3_tarski(k5_numbers))
| v4_ordinal2(sK47(k5_numbers)) ),
inference(superposition,[status(thm)],[c_228264,c_2183]) ).
tcf(c_230796,plain,
( v1_membered(k3_tarski(k5_numbers))
| v1_finset_1(sK47(k5_numbers)) ),
inference(superposition,[status(thm)],[c_228264,c_2174]) ).
tcf(c_231097,plain,
v1_int_1(sK47(k5_numbers)),
inference(global_subsumption_just,[status(thm)],[c_230792,c_169,c_2745,c_2833,c_224362,c_229445,c_229792,c_230557]) ).
tcf(c_231102,plain,
v4_ordinal2(sK47(k5_numbers)),
inference(global_subsumption_just,[status(thm)],[c_230795,c_169,c_2745,c_2833,c_224362,c_229445,c_229795,c_230723]) ).
tcf(c_231106,plain,
v1_finset_1(sK47(k5_numbers)),
inference(global_subsumption_just,[status(thm)],[c_230796,c_169,c_2745,c_2833,c_224362,c_229445,c_229796,c_230748]) ).
tcf(c_231526,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),np__0)
| r1_tarski(sK25(k1_zfmisc_1(X0),np__0),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(demodulation,[status(thm)],[c_227636,c_824]) ).
tcf(c_231540,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(X0),np__0)
| r1_tarski(sK25(k1_zfmisc_1(X0),np__0),X0) ),
inference(superposition,[status(thm)],[c_518,c_231526]) ).
tcf(c_235078,plain,
( v3_struct_0(sK23)
| m1_filter_0(u1_struct_0(sK23),sK23)
| ~ l3_lattices(sK23)
| ~ v10_lattices(sK23) ),
inference(instantiation,[status(thm)],[c_361]) ).
tcf(c_236517,plain,
! [X0: $i] :
( v3_struct_0(sK23)
| ~ l3_lattices(sK23)
| ~ v10_lattices(sK23)
| ~ v1_xboole_0(X0)
| ~ m1_filter_0(X0,sK23) ),
inference(instantiation,[status(thm)],[c_359]) ).
tcf(c_237913,plain,
k2_xboole_0(k5_numbers,k1_numbers) = k1_numbers,
inference(superposition,[status(thm)],[c_1091,c_513]) ).
tcf(c_238556,plain,
k4_xboole_0(k5_numbers,k1_numbers) = np__0,
inference(superposition,[status(thm)],[c_1091,c_817]) ).
tcf(c_239842,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_2131,c_1073]) ).
tcf(c_239843,plain,
( r2_hidden(np__0,k5_numbers)
| ~ v1_int_1(np__0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239842,c_224361,c_224362]) ).
tcf(c_240590,plain,
( ~ v1_int_1(np__0)
| ~ v1_xboole_0(k5_numbers) ),
inference(superposition,[status(thm)],[c_239843,c_191]) ).
tcf(c_240622,plain,
~ v1_xboole_0(k5_numbers),
inference(global_subsumption_just,[status(thm)],[c_240590,c_169,c_229445,c_240590]) ).
tcf(c_240680,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| r1_tarski(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_226464,c_228605]) ).
tcf(c_242889,plain,
! [X0: $i] : ~ r1_tarski(k1_zfmisc_1(X0),np__0),
inference(superposition,[status(thm)],[c_522,c_230361]) ).
tcf(c_243734,plain,
( r1_xboole_0(k5_numbers,k1_numbers)
| ( np__0 != k5_numbers ) ),
inference(superposition,[status(thm)],[c_238556,c_2409]) ).
tcf(c_243845,plain,
( v1_xboole_0(k5_numbers)
| ~ r1_xboole_0(k5_numbers,k1_numbers) ),
inference(superposition,[status(thm)],[c_1091,c_2426]) ).
tcf(c_243915,plain,
~ r1_xboole_0(k5_numbers,k1_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_243845,c_240622]) ).
tcf(c_246088,plain,
( v3_struct_0(sK23)
| ~ l3_lattices(sK23)
| ~ v10_lattices(sK23)
| ~ v1_xboole_0(u1_struct_0(sK23))
| ~ m1_filter_0(u1_struct_0(sK23),sK23) ),
inference(instantiation,[status(thm)],[c_236517]) ).
tcf(c_247621,plain,
( ( np__0 = k5_numbers )
| ( np__0 != k1_numbers ) ),
inference(superposition,[status(thm)],[c_237913,c_508]) ).
tcf(c_250855,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k5_numbers)
| ~ r1_tarski(k5_numbers,X1)
| ~ r1_tarski(k5_numbers,X0)
| ~ r1_xboole_0(X0,X1) ),
inference(instantiation,[status(thm)],[c_2427]) ).
tcf(c_250867,plain,
( v1_xboole_0(k5_numbers)
| ~ r1_xboole_0(np__0,np__0)
| ~ r1_tarski(k5_numbers,np__0) ),
inference(instantiation,[status(thm)],[c_250855]) ).
tcf(c_264737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| m1_subset_1(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_34474,c_97752]) ).
tcf(c_264939,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,np__0)
| m1_subset_1(sK25(X0,np__0),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_97752]) ).
tcf(c_265419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_264737,c_93114]) ).
tcf(c_267184,plain,
! [X0: $i] :
( r1_tarski(X0,np__0)
| m1_subset_1(sK25(X0,np__0),X0) ),
inference(global_subsumption_just,[status(thm)],[c_264939,c_223305]) ).
tcf(c_270512,plain,
( r1_tarski(k5_numbers,np__0)
| v1_finset_1(sK25(k5_numbers,np__0)) ),
inference(superposition,[status(thm)],[c_267184,c_2174]) ).
tcf(c_270661,plain,
( r1_tarski(k5_numbers,np__0)
| v4_ordinal2(sK25(k5_numbers,np__0)) ),
inference(superposition,[status(thm)],[c_267184,c_2183]) ).
tcf(c_272089,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(k2_xboole_0(X2,X1),np__0)),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(k2_xboole_0(X2,X1),k4_xboole_0(k2_xboole_0(X2,X1),k2_xboole_0(X2,X1))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_30376,c_265419]) ).
tcf(c_272755,plain,
np__0 = sK409,
inference(superposition,[status(thm)],[c_2142,c_166]) ).
tcf(c_272822,plain,
v1_xcmplx_0(np__0),
inference(demodulation,[status(thm)],[c_2143,c_272755]) ).
tcf(c_282363,plain,
! [X0: $i] : k2_xboole_0(np__0,X0) = X0,
inference(superposition,[status(thm)],[c_524,c_522]) ).
tcf(c_283926,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| r1_tarski(sK25(k5_finsub_1(X0),k2_xboole_0(X2,X1)),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(demodulation,[status(thm)],[c_272089,c_504,c_825,c_30376]) ).
tcf(c_283939,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| r1_tarski(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_524,c_283926]) ).
tcf(c_299944,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| r1_tarski(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_283939,c_240680]) ).
tcf(c_299957,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,np__0))
| r1_tarski(sK25(k5_finsub_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_282363,c_299944]) ).
tcf(c_323837,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_521,c_524]) ).
tcf(c_323864,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(X1,X2)))
| m1_subset_1(sK25(X0,k1_zfmisc_1(k4_xboole_0(X1,X2))),X0)
| ~ r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2)))) ),
inference(superposition,[status(thm)],[c_33271,c_97752]) ).
tcf(c_323865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| m1_subset_1(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_34474,c_97752]) ).
tcf(c_323866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| m1_subset_1(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_34475,c_97752]) ).
tcf(c_323884,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r1_tarski(sK26(k5_finsub_1(X1),X2,X0),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_97754,c_93114]) ).
tcf(c_323889,plain,
iPr_def_37,
inference(global_subsumption_just,[status(thm)],[c_170041,c_223462]) ).
tcf(c_323891,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,np__0)
| m1_subset_1(sK25(X0,np__0),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_97752]) ).
tcf(c_323904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X0)
| r1_tarski(X3,sK26(k5_finsub_1(X1),X2,X0))
| m1_subset_1(sK25(X3,sK26(k5_finsub_1(X1),X2,X0)),X3)
| ~ r1_tarski(X3,X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323884,c_97752]) ).
tcf(c_323917,plain,
! [X0: $i,X1: $i] :
( r1_tarski(np__0,k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(np__0,k1_zfmisc_1(k4_xboole_0(X0,X1))),np__0) ),
inference(superposition,[status(thm)],[c_96,c_323864]) ).
tcf(c_323918,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),k1_zfmisc_1(k4_xboole_0(X0,X1))),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))) ),
inference(superposition,[status(thm)],[c_101,c_323864]) ).
tcf(c_323919,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),k1_zfmisc_1(k4_xboole_0(X0,X1))),k1_zfmisc_1(k4_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_33271,c_323864]) ).
tcf(c_323921,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2))))),k1_zfmisc_1(k4_xboole_0(X1,X2)))
| m1_subset_1(sK25(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2))))),k1_zfmisc_1(k4_xboole_0(X1,X2))),k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2)))))) ),
inference(superposition,[status(thm)],[c_34475,c_323864]) ).
tcf(c_323922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X0)
| r1_tarski(sK26(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2)))),X3,X0),k1_zfmisc_1(k4_xboole_0(X1,X2)))
| m1_subset_1(sK25(sK26(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2)))),X3,X0),k1_zfmisc_1(k4_xboole_0(X1,X2))),sK26(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2)))),X3,X0))
| ~ r1_tarski(X3,k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2)))))
| ~ r1_tarski(X0,k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2))))) ),
inference(superposition,[status(thm)],[c_323884,c_323864]) ).
tcf(c_323933,plain,
! [X0: $i] :
( r1_tarski(X0,k5_numbers)
| m1_subset_1(sK25(X0,k5_numbers),X0)
| ~ r1_tarski(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_1091,c_97752]) ).
tcf(c_323943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323865,c_93114]) ).
tcf(c_323947,plain,
! [X0: $i] : r1_tarski(sK29(k5_finsub_1(X0)),X0),
inference(superposition,[status(thm)],[c_105,c_93114]) ).
tcf(c_323954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X1))))
| r1_tarski(X3,sK25(k5_finsub_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X1)))))
| m1_subset_1(sK25(X3,sK25(k5_finsub_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X1))))),X3)
| ~ r1_tarski(X3,X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323943,c_97752]) ).
tcf(c_323955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_tarski(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))))
| ~ r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_323943,c_323864]) ).
tcf(c_323972,plain,
! [X0: $i] : v1_relat_1(sK52(X0)),
inference(superposition,[status(thm)],[c_210,c_178]) ).
tcf(c_323973,plain,
v1_relat_1(sK55),
inference(superposition,[status(thm)],[c_217,c_178]) ).
tcf(c_323975,plain,
! [X0: $i] : v1_relat_1(sK208(X0)),
inference(superposition,[status(thm)],[c_855,c_178]) ).
tcf(c_323978,plain,
v1_relat_1(sK409),
inference(superposition,[status(thm)],[c_2142,c_178]) ).
tcf(c_323985,plain,
v1_funct_1(sK46),
inference(superposition,[status(thm)],[c_179,c_214]) ).
tcf(c_323986,plain,
! [X0: $i] : v1_funct_1(sK52(X0)),
inference(superposition,[status(thm)],[c_210,c_214]) ).
tcf(c_323987,plain,
v1_funct_1(sK55),
inference(superposition,[status(thm)],[c_217,c_214]) ).
tcf(c_323989,plain,
! [X0: $i] : v1_funct_1(sK208(X0)),
inference(superposition,[status(thm)],[c_855,c_214]) ).
tcf(c_323992,plain,
v1_funct_1(sK409),
inference(superposition,[status(thm)],[c_2142,c_214]) ).
tcf(c_323997,plain,
l1_struct_0(sK32),
inference(superposition,[status(thm)],[c_109,c_295]) ).
tcf(c_323998,plain,
l1_struct_0(sK64),
inference(superposition,[status(thm)],[c_305,c_295]) ).
tcf(c_323999,plain,
l1_struct_0(sK68),
inference(superposition,[status(thm)],[c_318,c_295]) ).
tcf(c_324000,plain,
l1_struct_0(sK69),
inference(superposition,[status(thm)],[c_324,c_295]) ).
tcf(c_324001,plain,
l1_struct_0(sK165),
inference(superposition,[status(thm)],[c_631,c_295]) ).
tcf(c_324002,plain,
l1_struct_0(sK166),
inference(superposition,[status(thm)],[c_633,c_295]) ).
tcf(c_324003,plain,
l1_struct_0(sK198),
inference(superposition,[status(thm)],[c_774,c_295]) ).
tcf(c_324004,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK29(k5_finsub_1(X1)))
| m1_subset_1(sK25(X0,sK29(k5_finsub_1(X1))),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_323947,c_97752]) ).
tcf(c_324005,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK29(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK29(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK29(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))))) ),
inference(superposition,[status(thm)],[c_323947,c_323864]) ).
tcf(c_324015,plain,
v1_realset1(np__0),
inference(superposition,[status(thm)],[c_169,c_353]) ).
tcf(c_324016,plain,
v1_realset1(sK43),
inference(superposition,[status(thm)],[c_172,c_353]) ).
tcf(c_324017,plain,
v1_realset1(sK46),
inference(superposition,[status(thm)],[c_179,c_353]) ).
tcf(c_324018,plain,
! [X0: $i] : v1_realset1(sK52(X0)),
inference(superposition,[status(thm)],[c_210,c_353]) ).
tcf(c_324019,plain,
v1_realset1(sK55),
inference(superposition,[status(thm)],[c_217,c_353]) ).
tcf(c_324020,plain,
v1_realset1(sK206),
inference(superposition,[status(thm)],[c_844,c_353]) ).
tcf(c_324021,plain,
! [X0: $i] : v1_realset1(sK208(X0)),
inference(superposition,[status(thm)],[c_855,c_353]) ).
tcf(c_324022,plain,
v1_realset1(sK276),
inference(superposition,[status(thm)],[c_1320,c_353]) ).
tcf(c_324023,plain,
v1_realset1(sK281),
inference(superposition,[status(thm)],[c_1345,c_353]) ).
tcf(c_324024,plain,
v1_realset1(sK409),
inference(superposition,[status(thm)],[c_2142,c_353]) ).
tcf(c_324025,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| m1_subset_1(sK25(X0,X1),X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_518,c_97752]) ).
tcf(c_324026,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(np__0),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(k5_finsub_1(np__0),k1_zfmisc_1(k4_xboole_0(X0,X1))),k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_518,c_323864]) ).
tcf(c_324038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323866,c_93114]) ).
tcf(c_324042,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k4_xboole_0(X1,X2))
| m1_subset_1(sK25(X0,k4_xboole_0(X1,X2)),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_819,c_97752]) ).
tcf(c_324043,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),X2),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(k4_xboole_0(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),X2),k1_zfmisc_1(k4_xboole_0(X0,X1))),k4_xboole_0(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),X2)) ),
inference(superposition,[status(thm)],[c_819,c_323864]) ).
tcf(c_324053,plain,
! [X0: $i] : r1_tarski(sK208(X0),X0),
inference(superposition,[status(thm)],[c_854,c_93114]) ).
tcf(c_324058,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK208(X1))
| m1_subset_1(sK25(X0,sK208(X1)),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_324053,c_97752]) ).
tcf(c_324059,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK208(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK208(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK208(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))) ),
inference(superposition,[status(thm)],[c_324053,c_323864]) ).
tcf(c_324073,plain,
v1_finset_1(np__0),
inference(superposition,[status(thm)],[c_169,c_887]) ).
tcf(c_324074,plain,
v1_finset_1(sK43),
inference(superposition,[status(thm)],[c_172,c_887]) ).
tcf(c_324075,plain,
v1_finset_1(sK46),
inference(superposition,[status(thm)],[c_179,c_887]) ).
tcf(c_324076,plain,
! [X0: $i] : v1_finset_1(sK52(X0)),
inference(superposition,[status(thm)],[c_210,c_887]) ).
tcf(c_324077,plain,
v1_finset_1(sK55),
inference(superposition,[status(thm)],[c_217,c_887]) ).
tcf(c_324081,plain,
v1_finset_1(sK281),
inference(superposition,[status(thm)],[c_1345,c_887]) ).
tcf(c_324082,plain,
v1_finset_1(sK409),
inference(superposition,[status(thm)],[c_2142,c_887]) ).
tcf(c_324089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X1,X2))))
| r1_tarski(X3,sK25(k5_finsub_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X1,X2)))))
| m1_subset_1(sK25(X3,sK25(k5_finsub_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X1,X2))))),X3)
| ~ r1_tarski(X3,X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_324038,c_97752]) ).
tcf(c_324090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3))))
| r1_tarski(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))))
| ~ r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_324038,c_323864]) ).
tcf(c_324100,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k5_finsub_1(X1))
| m1_subset_1(sK25(X0,k5_finsub_1(X1)),X0)
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_920,c_97752]) ).
tcf(c_324108,plain,
v1_xcmplx_0(sK241),
inference(superposition,[status(thm)],[c_1076,c_1074]) ).
tcf(c_324114,plain,
v1_xreal_0(sK241),
inference(superposition,[status(thm)],[c_1076,c_1075]) ).
tcf(c_324136,plain,
l1_lattices(sK23),
inference(superposition,[status(thm)],[c_56,c_1525]) ).
tcf(c_324137,plain,
l1_lattices(sK30),
inference(superposition,[status(thm)],[c_106,c_1525]) ).
tcf(c_324138,plain,
l1_lattices(sK321),
inference(superposition,[status(thm)],[c_1563,c_1525]) ).
tcf(c_324139,plain,
l1_lattices(sK322),
inference(superposition,[status(thm)],[c_1581,c_1525]) ).
tcf(c_324140,plain,
l1_lattices(sK323),
inference(superposition,[status(thm)],[c_1594,c_1525]) ).
tcf(c_324141,plain,
! [X0: $i] :
( r1_tarski(X0,np__0)
| m1_subset_1(sK25(X0,np__0),X0) ),
inference(global_subsumption_just,[status(thm)],[c_323891,c_223305]) ).
tcf(c_324147,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(X0),np__0)
| r1_tarski(sK25(k5_finsub_1(X0),np__0),X0) ),
inference(superposition,[status(thm)],[c_324141,c_93114]) ).
tcf(c_324154,plain,
l2_lattices(sK23),
inference(superposition,[status(thm)],[c_56,c_1526]) ).
tcf(c_324155,plain,
l2_lattices(sK30),
inference(superposition,[status(thm)],[c_106,c_1526]) ).
tcf(c_324156,plain,
l2_lattices(sK321),
inference(superposition,[status(thm)],[c_1563,c_1526]) ).
tcf(c_324157,plain,
l2_lattices(sK322),
inference(superposition,[status(thm)],[c_1581,c_1526]) ).
tcf(c_324158,plain,
l2_lattices(sK323),
inference(superposition,[status(thm)],[c_1594,c_1526]) ).
tcf(c_324163,plain,
l1_struct_0(sK311),
inference(superposition,[status(thm)],[c_1527,c_1528]) ).
tcf(c_324168,plain,
l1_struct_0(sK320),
inference(superposition,[status(thm)],[c_1551,c_1552]) ).
tcf(c_324179,plain,
l1_struct_0(sK23),
inference(superposition,[status(thm)],[c_324136,c_1528]) ).
tcf(c_324180,plain,
l1_struct_0(sK30),
inference(superposition,[status(thm)],[c_324137,c_1528]) ).
tcf(c_324181,plain,
l1_struct_0(sK321),
inference(superposition,[status(thm)],[c_324138,c_1528]) ).
tcf(c_324182,plain,
l1_struct_0(sK322),
inference(superposition,[status(thm)],[c_324139,c_1528]) ).
tcf(c_324184,plain,
l1_struct_0(sK323),
inference(superposition,[status(thm)],[c_324140,c_1528]) ).
tcf(c_324193,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X1),np__0)
| r1_tarski(X0,sK25(k5_finsub_1(X1),np__0))
| m1_subset_1(sK25(X0,sK25(k5_finsub_1(X1),np__0)),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_324147,c_97752]) ).
tcf(c_324194,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),np__0)
| r1_tarski(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),np__0),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),np__0),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),np__0)) ),
inference(superposition,[status(thm)],[c_324147,c_323864]) ).
tcf(c_324219,plain,
v2_funct_1(np__0),
inference(superposition,[status(thm)],[c_169,c_93257]) ).
tcf(c_324220,plain,
v2_funct_1(sK43),
inference(superposition,[status(thm)],[c_172,c_93257]) ).
tcf(c_324221,plain,
v2_funct_1(sK46),
inference(superposition,[status(thm)],[c_179,c_93257]) ).
tcf(c_324222,plain,
! [X0: $i] : v2_funct_1(sK52(X0)),
inference(superposition,[status(thm)],[c_210,c_93257]) ).
tcf(c_324223,plain,
v2_funct_1(sK55),
inference(superposition,[status(thm)],[c_217,c_93257]) ).
tcf(c_324225,plain,
! [X0: $i] : v2_funct_1(sK208(X0)),
inference(superposition,[status(thm)],[c_855,c_93257]) ).
tcf(c_324228,plain,
v2_funct_1(sK409),
inference(superposition,[status(thm)],[c_2142,c_93257]) ).
tcf(c_324241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| r1_tarski(sK25(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2)),X0)
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_323904,c_93114]) ).
tcf(c_324260,plain,
~ iPr_def_36,
inference(global_subsumption_just,[status(thm)],[c_170039,c_223456]) ).
tcf(c_324262,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_tarski(X1,X1))
| m1_subset_1(sK25(X0,k2_tarski(X1,X1)),X0)
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_263,c_97752]) ).
tcf(c_324276,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_relat_1(sK89(X1,np__0)))
| m1_subset_1(sK25(X0,k2_relat_1(sK89(X1,np__0))),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_410,c_97752]) ).
tcf(c_324277,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(sK89(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),np__0)),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(k2_relat_1(sK89(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),np__0)),k1_zfmisc_1(k4_xboole_0(X0,X1))),k2_relat_1(sK89(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),np__0))) ),
inference(superposition,[status(thm)],[c_410,c_323864]) ).
tcf(c_324288,plain,
! [X0: $i] :
( v2_funct_1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_433,c_93257]) ).
tcf(c_324289,plain,
! [X0: $i] :
( v1_finset_1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_433,c_887]) ).
tcf(c_324290,plain,
! [X0: $i] :
( v1_realset1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_433,c_353]) ).
tcf(c_324291,plain,
! [X0: $i] :
( v1_funct_1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_433,c_214]) ).
tcf(c_324318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| r1_tarski(X4,sK25(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2)))
| m1_subset_1(sK25(X4,sK25(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2))),X4)
| ~ r1_tarski(X4,X0)
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_324241,c_97752]) ).
tcf(c_324319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X4,X3)
| r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),sK26(k5_finsub_1(X2),X4,X3))
| r1_tarski(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),sK26(k5_finsub_1(X2),X4,X3)),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),sK26(k5_finsub_1(X2),X4,X3)),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),sK26(k5_finsub_1(X2),X4,X3)))
| ~ r1_tarski(X4,k5_finsub_1(X2))
| ~ r1_tarski(X3,k5_finsub_1(X2))
| ~ r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),X2) ),
inference(superposition,[status(thm)],[c_324241,c_323864]) ).
tcf(c_324336,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,np__0))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,np__0)) ),
inference(superposition,[status(thm)],[c_522,c_324038]) ).
tcf(c_324337,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,np__0))))
| m1_subset_1(sK25(X0,k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,np__0)) ),
inference(superposition,[status(thm)],[c_522,c_323866]) ).
tcf(c_324338,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X1),
inference(superposition,[status(thm)],[c_522,c_34475]) ).
tcf(c_324339,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k2_xboole_0(np__0,X1)),
inference(superposition,[status(thm)],[c_522,c_34474]) ).
tcf(c_324340,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,np__0))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(np__0,X1)) ),
inference(superposition,[status(thm)],[c_522,c_323943]) ).
tcf(c_324341,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,np__0))))
| m1_subset_1(sK25(X0,k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(X0,k2_xboole_0(np__0,X1)) ),
inference(superposition,[status(thm)],[c_522,c_323865]) ).
tcf(c_324342,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(np__0,X1))),X1),
inference(superposition,[status(thm)],[c_522,c_34474]) ).
tcf(c_324359,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X1))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X1)) ),
inference(superposition,[status(thm)],[c_523,c_323943]) ).
tcf(c_324360,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| r1_tarski(X0,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X1))))
| ~ r1_tarski(X0,k2_xboole_0(X1,X1)) ),
inference(superposition,[status(thm)],[c_523,c_323865]) ).
tcf(c_324373,plain,
! [X0: $i] :
( v2_funct_1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_550,c_93257]) ).
tcf(c_324374,plain,
! [X0: $i] :
( v1_finset_1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_550,c_887]) ).
tcf(c_324375,plain,
! [X0: $i] :
( v1_realset1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_550,c_353]) ).
tcf(c_324376,plain,
! [X0: $i] :
( v1_funct_1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_550,c_214]) ).
tcf(c_324400,plain,
! [X0: $i] : r1_xboole_0(np__0,X0),
inference(superposition,[status(thm)],[c_824,c_2414]) ).
tcf(c_324401,plain,
r1_tarski(np__0,np__0),
inference(superposition,[status(thm)],[c_824,c_819]) ).
tcf(c_324402,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(X0)))),
inference(superposition,[status(thm)],[c_824,c_33271]) ).
tcf(c_324403,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(np__0,np__0),k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_824,c_34474]) ).
tcf(c_324404,plain,
! [X0: $i,X1: $i] : r1_tarski(np__0,k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_824,c_34474]) ).
tcf(c_324405,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(np__0,np__0)),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(np__0,k4_xboole_0(np__0,k2_xboole_0(X2,X1))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_824,c_323943]) ).
tcf(c_324406,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(np__0,np__0)),X0)
| r1_tarski(X0,k4_xboole_0(np__0,k4_xboole_0(np__0,k2_xboole_0(X2,X1))))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_824,c_323865]) ).
tcf(c_324407,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),np__0),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(np__0,k4_xboole_0(np__0,k2_xboole_0(X2,X1))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_824,c_323943]) ).
tcf(c_324408,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK25(X0,np__0),X0)
| r1_tarski(X0,k4_xboole_0(np__0,k4_xboole_0(np__0,k2_xboole_0(X2,X1))))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_824,c_323865]) ).
tcf(c_324409,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(np__0,np__0)),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(np__0,k4_xboole_0(np__0,k2_xboole_0(X1,X2))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_824,c_324038]) ).
tcf(c_324410,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(np__0,np__0)),X0)
| r1_tarski(X0,k4_xboole_0(np__0,k4_xboole_0(np__0,k2_xboole_0(X1,X2))))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_824,c_323866]) ).
tcf(c_324411,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),np__0),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(np__0,k4_xboole_0(np__0,k2_xboole_0(X1,X2))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_824,c_324038]) ).
tcf(c_324412,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK25(X0,np__0),X0)
| r1_tarski(X0,k4_xboole_0(np__0,k4_xboole_0(np__0,k2_xboole_0(X1,X2))))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_824,c_323866]) ).
tcf(c_324413,plain,
! [X0: $i] : r1_tarski(k5_finsub_1(np__0),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k5_finsub_1(np__0),k1_zfmisc_1(X0)))),
inference(light_normalisation,[status(thm)],[c_324402,c_30123]) ).
tcf(c_324440,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(np__0)))),
inference(superposition,[status(thm)],[c_825,c_33271]) ).
tcf(c_324441,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k5_finsub_1(np__0)))),
inference(light_normalisation,[status(thm)],[c_324440,c_30123]) ).
tcf(c_324474,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(demodulation,[status(thm)],[c_324336,c_522]) ).
tcf(c_324484,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),np__0),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(np__0,k4_xboole_0(np__0,X1)))
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_824,c_324474]) ).
tcf(c_324485,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(np__0,k4_xboole_0(np__0,X1)))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(np__0,np__0)),X0)
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_824,c_324474]) ).
tcf(c_324486,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,np__0)))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X1,X1)),X0)
| ~ r1_tarski(k5_finsub_1(X0),np__0) ),
inference(superposition,[status(thm)],[c_825,c_324474]) ).
tcf(c_324487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,X1)))
| r1_tarski(X2,sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,X1))))
| m1_subset_1(sK25(X2,sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,X1)))),X2)
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_324474,c_97752]) ).
tcf(c_324488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X3,k4_xboole_0(X3,X2)))
| r1_tarski(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X3,k4_xboole_0(X3,X2))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X3,k4_xboole_0(X3,X2))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X3,k4_xboole_0(X3,X2))))
| ~ r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),X2) ),
inference(superposition,[status(thm)],[c_324474,c_323864]) ).
tcf(c_324511,plain,
r2_hidden(np__0,k1_card_1(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_1300,c_1301]) ).
tcf(c_324512,plain,
r2_hidden(np__0,k1_card_1(k5_finsub_1(np__0))),
inference(light_normalisation,[status(thm)],[c_324511,c_30123]) ).
tcf(c_324521,plain,
( v1_realset1(k1_numbers)
| v1_xreal_0(sK72(k1_numbers)) ),
inference(superposition,[status(thm)],[c_337,c_1783]) ).
tcf(c_324522,plain,
( v1_realset1(k1_numbers)
| v1_xreal_0(sK73(k1_numbers)) ),
inference(superposition,[status(thm)],[c_338,c_1783]) ).
tcf(c_324523,plain,
( v1_relat_1(k1_numbers)
| v1_xreal_0(sK137(k1_numbers)) ),
inference(superposition,[status(thm)],[c_587,c_1783]) ).
tcf(c_324534,plain,
( v1_realset1(k1_numbers)
| v1_xcmplx_0(sK72(k1_numbers)) ),
inference(superposition,[status(thm)],[c_324521,c_1811]) ).
tcf(c_324541,plain,
( v1_realset1(k1_numbers)
| v1_xcmplx_0(sK73(k1_numbers)) ),
inference(superposition,[status(thm)],[c_324522,c_1811]) ).
tcf(c_324548,plain,
( v1_relat_1(k1_numbers)
| v1_xcmplx_0(sK137(k1_numbers)) ),
inference(superposition,[status(thm)],[c_324523,c_1811]) ).
tcf(c_324569,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(np__0,np__0),X0),
inference(superposition,[status(thm)],[c_824,c_324338]) ).
tcf(c_324570,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(X0,X0),np__0),
inference(superposition,[status(thm)],[c_825,c_324338]) ).
tcf(c_324571,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| m1_subset_1(sK25(X0,k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_324338,c_97752]) ).
tcf(c_324640,plain,
! [X0: $i] : r1_tarski(np__0,k2_xboole_0(np__0,X0)),
inference(superposition,[status(thm)],[c_824,c_324339]) ).
tcf(c_324641,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(np__0,np__0),k2_xboole_0(np__0,X0)),
inference(superposition,[status(thm)],[c_824,c_324339]) ).
tcf(c_324642,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(X0,X0),k2_xboole_0(np__0,np__0)),
inference(superposition,[status(thm)],[c_825,c_324339]) ).
tcf(c_324643,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,np__0)),np__0),
inference(superposition,[status(thm)],[c_522,c_324339]) ).
tcf(c_324645,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| m1_subset_1(sK25(X0,k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(X0,k2_xboole_0(np__0,X1)) ),
inference(superposition,[status(thm)],[c_324339,c_97752]) ).
tcf(c_324647,plain,
r1_tarski(np__0,k2_xboole_0(np__0,np__0)),
inference(light_normalisation,[status(thm)],[c_324642,c_30376]) ).
tcf(c_324655,plain,
v5_membered(np__0),
inference(superposition,[status(thm)],[c_2041,c_168]) ).
tcf(c_324656,plain,
( v5_membered(k1_numbers)
| v1_xreal_0(sK402(k1_numbers)) ),
inference(superposition,[status(thm)],[c_2041,c_1783]) ).
tcf(c_324663,plain,
v1_finset_1(sK29(k5_numbers)),
inference(superposition,[status(thm)],[c_105,c_2174]) ).
tcf(c_324664,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| v1_finset_1(sK26(k5_numbers,X1,X0))
| ~ r1_tarski(X1,k5_numbers)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_97754,c_2174]) ).
tcf(c_324665,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| v1_finset_1(sK25(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))))
| ~ r1_tarski(k5_numbers,k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323865,c_2174]) ).
tcf(c_324666,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| v1_finset_1(sK25(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))))
| ~ r1_tarski(k5_numbers,k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323866,c_2174]) ).
tcf(c_324667,plain,
( r1_tarski(k5_numbers,np__0)
| v1_finset_1(sK25(k5_numbers,np__0)) ),
inference(superposition,[status(thm)],[c_324141,c_2174]) ).
tcf(c_324668,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r1_tarski(k5_numbers,sK26(k5_finsub_1(X1),X2,X0))
| v1_finset_1(sK25(k5_numbers,sK26(k5_finsub_1(X1),X2,X0)))
| ~ r1_tarski(k5_numbers,X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323904,c_2174]) ).
tcf(c_324691,plain,
v4_ordinal2(sK29(k5_numbers)),
inference(superposition,[status(thm)],[c_105,c_2183]) ).
tcf(c_324692,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| v4_ordinal2(sK26(k5_numbers,X1,X0))
| ~ r1_tarski(X1,k5_numbers)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_97754,c_2183]) ).
tcf(c_324693,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| v4_ordinal2(sK25(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))))
| ~ r1_tarski(k5_numbers,k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323865,c_2183]) ).
tcf(c_324694,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| v4_ordinal2(sK25(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))))
| ~ r1_tarski(k5_numbers,k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323866,c_2183]) ).
tcf(c_324695,plain,
( r1_tarski(k5_numbers,np__0)
| v4_ordinal2(sK25(k5_numbers,np__0)) ),
inference(superposition,[status(thm)],[c_324141,c_2183]) ).
tcf(c_324696,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r1_tarski(k5_numbers,sK26(k5_finsub_1(X1),X2,X0))
| v4_ordinal2(sK25(k5_numbers,sK26(k5_finsub_1(X1),X2,X0)))
| ~ r1_tarski(k5_numbers,X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323904,c_2183]) ).
tcf(c_324719,plain,
v1_xcmplx_0(sK29(k5_numbers)),
inference(superposition,[status(thm)],[c_105,c_2184]) ).
tcf(c_324720,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| v1_xcmplx_0(sK26(k5_numbers,X1,X0))
| ~ r1_tarski(X1,k5_numbers)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_97754,c_2184]) ).
tcf(c_324721,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| v1_xcmplx_0(sK25(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))))
| ~ r1_tarski(k5_numbers,k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323865,c_2184]) ).
tcf(c_324722,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| v1_xcmplx_0(sK25(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))))
| ~ r1_tarski(k5_numbers,k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323866,c_2184]) ).
tcf(c_324723,plain,
( r1_tarski(k5_numbers,np__0)
| v1_xcmplx_0(sK25(k5_numbers,np__0)) ),
inference(superposition,[status(thm)],[c_324141,c_2184]) ).
tcf(c_324724,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r1_tarski(k5_numbers,sK26(k5_finsub_1(X1),X2,X0))
| v1_xcmplx_0(sK25(k5_numbers,sK26(k5_finsub_1(X1),X2,X0)))
| ~ r1_tarski(k5_numbers,X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323904,c_2184]) ).
tcf(c_324743,plain,
v1_xreal_0(sK29(k5_numbers)),
inference(superposition,[status(thm)],[c_324691,c_2056]) ).
tcf(c_324744,plain,
v1_int_1(sK29(k5_numbers)),
inference(superposition,[status(thm)],[c_324691,c_2055]) ).
tcf(c_324752,plain,
( v5_membered(k1_numbers)
| v1_xcmplx_0(sK402(k1_numbers)) ),
inference(superposition,[status(thm)],[c_324656,c_1811]) ).
tcf(c_324764,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| v1_xreal_0(sK26(k5_numbers,X1,X0))
| ~ r1_tarski(X1,k5_numbers)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_97754,c_2185]) ).
tcf(c_324765,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| v1_xreal_0(sK25(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))))
| ~ r1_tarski(k5_numbers,k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323865,c_2185]) ).
tcf(c_324766,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| v1_xreal_0(sK25(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))))
| ~ r1_tarski(k5_numbers,k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323866,c_2185]) ).
tcf(c_324767,plain,
( r1_tarski(k5_numbers,np__0)
| v1_xreal_0(sK25(k5_numbers,np__0)) ),
inference(superposition,[status(thm)],[c_324141,c_2185]) ).
tcf(c_324768,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r1_tarski(k5_numbers,sK26(k5_finsub_1(X1),X2,X0))
| v1_xreal_0(sK25(k5_numbers,sK26(k5_finsub_1(X1),X2,X0)))
| ~ r1_tarski(k5_numbers,X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323904,c_2185]) ).
tcf(c_324792,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| v1_int_1(sK26(k5_numbers,X1,X0))
| ~ r1_tarski(X1,k5_numbers)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_97754,c_2187]) ).
tcf(c_324793,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| v1_int_1(sK25(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))))
| ~ r1_tarski(k5_numbers,k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323865,c_2187]) ).
tcf(c_324794,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| v1_int_1(sK25(k5_numbers,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))))
| ~ r1_tarski(k5_numbers,k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323866,c_2187]) ).
tcf(c_324795,plain,
( r1_tarski(k5_numbers,np__0)
| v1_int_1(sK25(k5_numbers,np__0)) ),
inference(superposition,[status(thm)],[c_324141,c_2187]) ).
tcf(c_324796,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r1_tarski(k5_numbers,sK26(k5_finsub_1(X1),X2,X0))
| v1_int_1(sK25(k5_numbers,sK26(k5_finsub_1(X1),X2,X0)))
| ~ r1_tarski(k5_numbers,X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323904,c_2187]) ).
tcf(c_324823,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(np__0,X1)) ),
inference(demodulation,[status(thm)],[c_324340,c_522]) ).
tcf(c_324833,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),np__0),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(np__0,k4_xboole_0(np__0,X1)))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(np__0,X1)) ),
inference(superposition,[status(thm)],[c_824,c_324823]) ).
tcf(c_324834,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(np__0,k4_xboole_0(np__0,X1)))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(np__0,np__0)),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(np__0,X1)) ),
inference(superposition,[status(thm)],[c_824,c_324823]) ).
tcf(c_324835,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,np__0)))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X1,X1)),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(np__0,np__0)) ),
inference(superposition,[status(thm)],[c_825,c_324823]) ).
tcf(c_324836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,X1)))
| r1_tarski(X2,sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,X1))))
| m1_subset_1(sK25(X2,sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,X1)))),X2)
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(np__0,X1)) ),
inference(superposition,[status(thm)],[c_324823,c_97752]) ).
tcf(c_324837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X3,k4_xboole_0(X3,X2)))
| r1_tarski(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X3,k4_xboole_0(X3,X2))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X3,k4_xboole_0(X3,X2))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X3,k4_xboole_0(X3,X2))))
| ~ r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(np__0,X2)) ),
inference(superposition,[status(thm)],[c_324823,c_323864]) ).
tcf(c_324868,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(np__0,X1)))
| m1_subset_1(sK25(X0,k1_zfmisc_1(k4_xboole_0(np__0,X1))),X0)
| ~ r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k5_finsub_1(np__0),k1_zfmisc_1(X1)))) ),
inference(superposition,[status(thm)],[c_30123,c_323864]) ).
tcf(c_324869,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,np__0)),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k5_finsub_1(np__0)))),
inference(superposition,[status(thm)],[c_30123,c_33271]) ).
tcf(c_324870,plain,
r2_hidden(k1_card_1(np__0),k1_card_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_30123,c_1301]) ).
tcf(c_324871,plain,
( v1_finset_1(k5_finsub_1(np__0))
| ~ v1_finset_1(np__0) ),
inference(superposition,[status(thm)],[c_30123,c_865]) ).
tcf(c_324873,plain,
r1_tarski(k2_tarski(np__0,np__0),k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_30123,c_263]) ).
tcf(c_324874,plain,
r1_tarski(k5_finsub_1(np__0),k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_30123,c_920]) ).
tcf(c_324875,plain,
m1_subset_1(sK52(np__0),k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_30123,c_209]) ).
tcf(c_324876,plain,
~ v1_xboole_0(k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_30123,c_213]) ).
tcf(c_324877,plain,
m1_subset_1(np__0,k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_30123,c_157]) ).
tcf(c_324878,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(np__0,X0)),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k5_finsub_1(np__0),k1_zfmisc_1(X0)))),
inference(superposition,[status(thm)],[c_30123,c_33271]) ).
tcf(c_324879,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(X1,np__0)))
| m1_subset_1(sK25(X0,k1_zfmisc_1(k4_xboole_0(X1,np__0))),X0)
| ~ r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k5_finsub_1(np__0)))) ),
inference(superposition,[status(thm)],[c_30123,c_323864]) ).
tcf(c_324881,plain,
v1_finset_1(k5_finsub_1(np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_324871,c_324073]) ).
tcf(c_324892,plain,
r1_tarski(sK52(np__0),np__0),
inference(superposition,[status(thm)],[c_324875,c_93114]) ).
tcf(c_324893,plain,
! [X0: $i] :
( r1_tarski(X0,sK52(np__0))
| m1_subset_1(sK25(X0,sK52(np__0)),X0)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_324892,c_97752]) ).
tcf(c_324897,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(X0,np__0),k2_xboole_0(np__0,X0)),
inference(superposition,[status(thm)],[c_30376,c_324339]) ).
tcf(c_324898,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(X0,np__0),X0),
inference(superposition,[status(thm)],[c_30376,c_324338]) ).
tcf(c_324901,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X0)))),
inference(superposition,[status(thm)],[c_30376,c_33271]) ).
tcf(c_324902,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X0)),k2_xboole_0(k5_finsub_1(np__0),np__0)),
inference(superposition,[status(thm)],[c_30376,c_33271]) ).
tcf(c_324903,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(k2_xboole_0(X0,X1),np__0),k2_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_30376,c_34474]) ).
tcf(c_324904,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X1,np__0)),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,X1)))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(np__0,X1)) ),
inference(superposition,[status(thm)],[c_30376,c_324823]) ).
tcf(c_324905,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X1,np__0)),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,X1)))
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_30376,c_324474]) ).
tcf(c_324906,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(X1,X1)))
| m1_subset_1(sK25(X0,k1_zfmisc_1(k4_xboole_0(X1,X1))),X0)
| ~ r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),np__0)) ),
inference(superposition,[status(thm)],[c_30376,c_323864]) ).
tcf(c_324907,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(k2_xboole_0(X2,X1),np__0)),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(k2_xboole_0(X2,X1),k4_xboole_0(k2_xboole_0(X2,X1),k2_xboole_0(X2,X1))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_30376,c_323943]) ).
tcf(c_324908,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(k2_xboole_0(X2,X1),np__0)),X0)
| r1_tarski(X0,k4_xboole_0(k2_xboole_0(X2,X1),k4_xboole_0(k2_xboole_0(X2,X1),k2_xboole_0(X2,X1))))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_30376,c_323865]) ).
tcf(c_324909,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(k2_xboole_0(X1,X2),np__0)),X0)
| r1_tarski(X0,k4_xboole_0(k2_xboole_0(X1,X2),k4_xboole_0(k2_xboole_0(X1,X2),k2_xboole_0(X1,X2))))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_30376,c_323866]) ).
tcf(c_324911,plain,
! [X0: $i] : r1_tarski(X0,k2_xboole_0(np__0,X0)),
inference(light_normalisation,[status(thm)],[c_324897,c_825]) ).
tcf(c_324912,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X0)),k2_xboole_0(np__0,k5_finsub_1(np__0))),
inference(theory_normalisation,[status(thm)],[c_324902,c_521,c_524]) ).
tcf(c_324913,plain,
r1_tarski(k5_finsub_1(np__0),k2_xboole_0(np__0,k5_finsub_1(np__0))),
inference(light_normalisation,[status(thm)],[c_324912,c_30123,c_30376]) ).
tcf(c_324914,plain,
! [X0: $i] : r1_tarski(k5_finsub_1(np__0),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X0)))),
inference(light_normalisation,[status(thm)],[c_324901,c_30123]) ).
tcf(c_324915,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(X1,X1)))
| m1_subset_1(sK25(X0,k1_zfmisc_1(k4_xboole_0(X1,X1))),X0)
| ~ r1_tarski(X0,k2_xboole_0(np__0,k5_finsub_1(np__0))) ),
inference(theory_normalisation,[status(thm)],[c_324906,c_521,c_524]) ).
tcf(c_324936,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| m1_subset_1(sK25(X0,X1),X0)
| ~ r1_tarski(X0,k2_xboole_0(np__0,X1)) ),
inference(superposition,[status(thm)],[c_324911,c_97752]) ).
tcf(c_324954,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(k2_xboole_0(np__0,X0),np__0),X0),
inference(superposition,[status(thm)],[c_30376,c_324342]) ).
tcf(c_324957,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(np__0,X1))))
| m1_subset_1(sK25(X0,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(np__0,X1)))),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_324342,c_97752]) ).
tcf(c_324958,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(np__0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2)))))),k1_zfmisc_1(k4_xboole_0(X1,X2)))
| m1_subset_1(sK25(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(np__0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2)))))),k1_zfmisc_1(k4_xboole_0(X1,X2))),k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(np__0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2))))))) ),
inference(superposition,[status(thm)],[c_324342,c_323864]) ).
tcf(c_325058,plain,
np__0 = sK43,
inference(superposition,[status(thm)],[c_172,c_166]) ).
tcf(c_325059,plain,
np__0 = sK46,
inference(superposition,[status(thm)],[c_179,c_166]) ).
tcf(c_325060,plain,
! [X0: $i] : sK52(X0) = np__0,
inference(superposition,[status(thm)],[c_210,c_166]) ).
tcf(c_325061,plain,
np__0 = sK55,
inference(superposition,[status(thm)],[c_217,c_166]) ).
tcf(c_325062,plain,
! [X0: $i] :
( ( k1_relat_1(X0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_433,c_166]) ).
tcf(c_325063,plain,
! [X0: $i] :
( ( k2_relat_1(X0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_550,c_166]) ).
tcf(c_325064,plain,
np__0 = sK206,
inference(superposition,[status(thm)],[c_844,c_166]) ).
tcf(c_325065,plain,
! [X0: $i] : sK208(X0) = np__0,
inference(superposition,[status(thm)],[c_855,c_166]) ).
tcf(c_325066,plain,
np__0 = sK276,
inference(superposition,[status(thm)],[c_1320,c_166]) ).
tcf(c_325067,plain,
np__0 = sK281,
inference(superposition,[status(thm)],[c_1345,c_166]) ).
tcf(c_325068,plain,
np__0 = sK409,
inference(superposition,[status(thm)],[c_2142,c_166]) ).
tcf(c_325109,plain,
! [X0: $i] : m1_subset_1(np__0,k5_finsub_1(X0)),
inference(demodulation,[status(thm)],[c_854,c_325065]) ).
tcf(c_325132,plain,
~ v3_xreal_0(np__0),
inference(demodulation,[status(thm)],[c_2146,c_325068]) ).
tcf(c_325133,plain,
~ v2_xreal_0(np__0),
inference(demodulation,[status(thm)],[c_2145,c_325068]) ).
tcf(c_325134,plain,
v1_xreal_0(np__0),
inference(demodulation,[status(thm)],[c_2144,c_325068]) ).
tcf(c_325141,plain,
! [X0: $i] :
( v1_realset1(X0)
| m1_subset_1(sK72(X0),X0) ),
inference(superposition,[status(thm)],[c_337,c_186]) ).
tcf(c_325142,plain,
! [X0: $i] :
( v1_realset1(X0)
| m1_subset_1(sK73(X0),X0) ),
inference(superposition,[status(thm)],[c_338,c_186]) ).
tcf(c_325143,plain,
! [X0: $i] :
( v1_relat_1(X0)
| m1_subset_1(sK137(X0),X0) ),
inference(superposition,[status(thm)],[c_587,c_186]) ).
tcf(c_325144,plain,
! [X0: $i] : m1_subset_1(k1_card_1(X0),k1_card_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_1301,c_186]) ).
tcf(c_325145,plain,
! [X0: $i,X1: $i] : m1_subset_1(X0,k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_1433,c_186]) ).
tcf(c_325146,plain,
! [X0: $i,X1: $i] : m1_subset_1(X0,k2_tarski(X1,X0)),
inference(superposition,[status(thm)],[c_1434,c_186]) ).
tcf(c_325147,plain,
! [X0: $i] :
( m1_subset_1(X0,k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_1784,c_186]) ).
tcf(c_325148,plain,
! [X0: $i] :
( v1_membered(X0)
| m1_subset_1(sK355(X0),X0) ),
inference(superposition,[status(thm)],[c_1803,c_186]) ).
tcf(c_325149,plain,
! [X0: $i] :
( v5_membered(X0)
| m1_subset_1(sK402(X0),X0) ),
inference(superposition,[status(thm)],[c_2041,c_186]) ).
tcf(c_325150,plain,
m1_subset_1(np__0,k1_card_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_324512,c_186]) ).
tcf(c_325170,plain,
! [X0: $i] : ~ v1_xboole_0(k1_card_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_1301,c_191]) ).
tcf(c_325174,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1803,c_191]) ).
tcf(c_325175,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_2041,c_191]) ).
tcf(c_325176,plain,
~ v1_xboole_0(k1_card_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_324512,c_191]) ).
tcf(c_325189,plain,
! [X0: $i] : r2_hidden(X0,k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_523,c_233]) ).
tcf(c_325190,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k2_xboole_0(X0,k2_tarski(X1,X1))),
inference(superposition,[status(thm)],[c_233,c_191]) ).
tcf(c_325191,plain,
! [X0: $i,X1: $i] : m1_subset_1(X0,k2_xboole_0(X1,k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_233,c_186]) ).
tcf(c_325212,plain,
! [X0: $i] :
( v1_membered(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_433,c_325174]) ).
tcf(c_325213,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_550,c_325174]) ).
tcf(c_325223,plain,
! [X0: $i] :
( v5_membered(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_433,c_325175]) ).
tcf(c_325224,plain,
! [X0: $i] :
( v5_membered(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_550,c_325175]) ).
tcf(c_325253,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),np__0)
| r1_tarski(sK25(k5_finsub_1(X0),np__0),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(demodulation,[status(thm)],[c_324405,c_824]) ).
tcf(c_325276,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK207(X0),X0) ),
inference(superposition,[status(thm)],[c_851,c_93114]) ).
tcf(c_325315,plain,
( iPr_def_35
| iPr_def_16
| v3_struct_0(sK362) ),
inference(superposition,[status(thm)],[c_170038,c_170023]) ).
tcf(c_325331,plain,
( iPr_def_35
| iPr_def_15
| v3_struct_0(sK362) ),
inference(superposition,[status(thm)],[c_170038,c_170024]) ).
tcf(c_325364,plain,
! [X0: $i] : v1_finset_1(sK29(k5_finsub_1(X0))),
inference(superposition,[status(thm)],[c_105,c_860]) ).
tcf(c_325366,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| v1_finset_1(sK26(k5_finsub_1(X1),X2,X0))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_97754,c_860]) ).
tcf(c_325367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| v1_finset_1(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323865,c_860]) ).
tcf(c_325368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| v1_finset_1(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323866,c_860]) ).
tcf(c_325369,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(X0),np__0)
| v1_finset_1(sK25(k5_finsub_1(X0),np__0)) ),
inference(superposition,[status(thm)],[c_324141,c_860]) ).
tcf(c_325370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| v1_finset_1(sK25(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2)))
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_323904,c_860]) ).
tcf(c_325404,plain,
! [X0: $i] : r2_hidden(np__0,k2_xboole_0(X0,k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_919,c_233]) ).
tcf(c_325405,plain,
r1_tarski(k5_finsub_1(np__0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_919,c_263]) ).
tcf(c_325406,plain,
v1_realset1(k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_919,c_352]) ).
tcf(c_325408,plain,
r2_hidden(np__0,k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_919,c_1434]) ).
tcf(c_325460,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| v1_finset_1(sK72(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_325141,c_860]) ).
tcf(c_325461,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| r1_tarski(sK72(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_325141,c_93114]) ).
tcf(c_325462,plain,
( v1_realset1(k5_numbers)
| v1_int_1(sK72(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325141,c_2187]) ).
tcf(c_325463,plain,
( v1_realset1(k5_numbers)
| v1_xreal_0(sK72(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325141,c_2185]) ).
tcf(c_325464,plain,
( v1_realset1(k5_numbers)
| v1_xcmplx_0(sK72(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325141,c_2184]) ).
tcf(c_325465,plain,
( v1_realset1(k5_numbers)
| v4_ordinal2(sK72(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325141,c_2183]) ).
tcf(c_325466,plain,
( v1_realset1(k5_numbers)
| v1_finset_1(sK72(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325141,c_2174]) ).
tcf(c_325482,plain,
! [X0: $i] : r1_tarski(k5_finsub_1(np__0),k2_tarski(X0,np__0)),
inference(superposition,[status(thm)],[c_919,c_1408]) ).
tcf(c_325484,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_tarski(X2,X2))
| m1_subset_1(sK25(X0,k2_tarski(X2,X2)),X0)
| ~ r1_tarski(X0,k2_tarski(X1,X2)) ),
inference(superposition,[status(thm)],[c_1408,c_97752]) ).
tcf(c_325488,plain,
! [X0: $i] : r1_tarski(k5_finsub_1(np__0),k2_tarski(np__0,X0)),
inference(superposition,[status(thm)],[c_919,c_1425]) ).
tcf(c_325490,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_tarski(X1,X1))
| m1_subset_1(sK25(X0,k2_tarski(X1,X1)),X0)
| ~ r1_tarski(X0,k2_tarski(X1,X2)) ),
inference(superposition,[status(thm)],[c_1425,c_97752]) ).
tcf(c_325531,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| v1_finset_1(sK73(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_325142,c_860]) ).
tcf(c_325532,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| r1_tarski(sK73(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_325142,c_93114]) ).
tcf(c_325533,plain,
( v1_realset1(k5_numbers)
| v1_int_1(sK73(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325142,c_2187]) ).
tcf(c_325534,plain,
( v1_realset1(k5_numbers)
| v1_xreal_0(sK73(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325142,c_2185]) ).
tcf(c_325535,plain,
( v1_realset1(k5_numbers)
| v1_xcmplx_0(sK73(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325142,c_2184]) ).
tcf(c_325536,plain,
( v1_realset1(k5_numbers)
| v4_ordinal2(sK73(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325142,c_2183]) ).
tcf(c_325537,plain,
( v1_realset1(k5_numbers)
| v1_finset_1(sK73(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325142,c_2174]) ).
tcf(c_325581,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| v1_finset_1(sK137(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_325143,c_860]) ).
tcf(c_325582,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| r1_tarski(sK137(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_325143,c_93114]) ).
tcf(c_325583,plain,
( v1_relat_1(k5_numbers)
| v1_int_1(sK137(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325143,c_2187]) ).
tcf(c_325584,plain,
( v1_relat_1(k5_numbers)
| v1_xreal_0(sK137(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325143,c_2185]) ).
tcf(c_325585,plain,
( v1_relat_1(k5_numbers)
| v1_xcmplx_0(sK137(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325143,c_2184]) ).
tcf(c_325586,plain,
( v1_relat_1(k5_numbers)
| v4_ordinal2(sK137(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325143,c_2183]) ).
tcf(c_325587,plain,
( v1_relat_1(k5_numbers)
| v1_finset_1(sK137(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325143,c_2174]) ).
tcf(c_325607,plain,
( v1_membered(k5_finsub_1(np__0))
| ~ v1_xcmplx_0(np__0) ),
inference(superposition,[status(thm)],[c_919,c_1805]) ).
tcf(c_325608,plain,
v1_membered(k5_finsub_1(np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_325607,c_272822]) ).
tcf(c_325612,plain,
~ v1_xboole_0(k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_1820,c_1377]) ).
tcf(c_325613,plain,
v1_finset_1(k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_1820,c_881]) ).
tcf(c_325614,plain,
( v1_membered(k2_finseq_1(np__1))
| ~ v1_xcmplx_0(np__1) ),
inference(superposition,[status(thm)],[c_1820,c_1805]) ).
tcf(c_325615,plain,
! [X0: $i] : r1_tarski(k2_finseq_1(np__1),k2_tarski(np__1,X0)),
inference(superposition,[status(thm)],[c_1820,c_1425]) ).
tcf(c_325616,plain,
! [X0: $i] : r1_tarski(k2_finseq_1(np__1),k2_tarski(X0,np__1)),
inference(superposition,[status(thm)],[c_1820,c_1408]) ).
tcf(c_325617,plain,
! [X0: $i] : r2_hidden(np__1,k2_xboole_0(X0,k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_1820,c_233]) ).
tcf(c_325618,plain,
r1_tarski(k2_finseq_1(np__1),k1_zfmisc_1(np__1)),
inference(superposition,[status(thm)],[c_1820,c_263]) ).
tcf(c_325619,plain,
v1_realset1(k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_1820,c_352]) ).
tcf(c_325620,plain,
r1_tarski(k2_finseq_1(np__1),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_1820,c_1408]) ).
tcf(c_325621,plain,
m1_subset_1(np__1,k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_1820,c_325146]) ).
tcf(c_325622,plain,
r2_hidden(np__1,k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_1820,c_1434]) ).
tcf(c_325625,plain,
r1_tarski(k2_tarski(np__1,np__1),k2_finseq_1(np__2)),
inference(superposition,[status(thm)],[c_1821,c_1425]) ).
tcf(c_325626,plain,
m1_subset_1(np__1,k2_finseq_1(np__2)),
inference(superposition,[status(thm)],[c_1821,c_325145]) ).
tcf(c_325627,plain,
r2_hidden(np__1,k2_finseq_1(np__2)),
inference(superposition,[status(thm)],[c_1821,c_1433]) ).
tcf(c_325628,plain,
~ v1_xboole_0(k2_finseq_1(np__2)),
inference(superposition,[status(thm)],[c_1821,c_1377]) ).
tcf(c_325629,plain,
v1_finset_1(k2_finseq_1(np__2)),
inference(superposition,[status(thm)],[c_1821,c_881]) ).
tcf(c_325630,plain,
r1_tarski(k2_tarski(np__2,np__2),k2_finseq_1(np__2)),
inference(superposition,[status(thm)],[c_1821,c_1408]) ).
tcf(c_325631,plain,
m1_subset_1(np__2,k2_finseq_1(np__2)),
inference(superposition,[status(thm)],[c_1821,c_325146]) ).
tcf(c_325632,plain,
r2_hidden(np__2,k2_finseq_1(np__2)),
inference(superposition,[status(thm)],[c_1821,c_1434]) ).
tcf(c_325633,plain,
r1_tarski(k2_finseq_1(np__1),k2_finseq_1(np__2)),
inference(light_normalisation,[status(thm)],[c_325625,c_1820]) ).
tcf(c_325644,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k5_finsub_1(np__0),k1_zfmisc_1(X0))),
inference(demodulation,[status(thm)],[c_324441,c_499]) ).
tcf(c_325645,plain,
r1_tarski(k5_finsub_1(np__0),k2_xboole_0(k5_finsub_1(np__0),k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_30123,c_325644]) ).
tcf(c_325647,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(X1))
| m1_subset_1(sK25(X0,k1_zfmisc_1(X1)),X0)
| ~ r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_325644,c_97752]) ).
tcf(c_325692,plain,
! [X0: $i] :
( r1_tarski(X0,k2_finseq_1(np__1))
| m1_subset_1(sK25(X0,k2_finseq_1(np__1)),X0)
| ~ r1_tarski(X0,k1_zfmisc_1(np__1)) ),
inference(superposition,[status(thm)],[c_325618,c_97752]) ).
tcf(c_325696,plain,
! [X0: $i] :
( r1_tarski(X0,k2_finseq_1(np__1))
| m1_subset_1(sK25(X0,k2_finseq_1(np__1)),X0)
| ~ r1_tarski(X0,k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_325633,c_97752]) ).
tcf(c_325700,plain,
m1_subset_1(np__0,k1_card_1(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_1300,c_325144]) ).
tcf(c_325701,plain,
m1_subset_1(k1_card_1(np__0),k1_card_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_30123,c_325144]) ).
tcf(c_325712,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| v1_finset_1(sK355(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_325148,c_860]) ).
tcf(c_325713,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| r1_tarski(sK355(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_325148,c_93114]) ).
tcf(c_325714,plain,
( v1_membered(k5_numbers)
| v1_int_1(sK355(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325148,c_2187]) ).
tcf(c_325715,plain,
( v1_membered(k5_numbers)
| v1_xreal_0(sK355(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325148,c_2185]) ).
tcf(c_325716,plain,
( v1_membered(k5_numbers)
| v1_xcmplx_0(sK355(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325148,c_2184]) ).
tcf(c_325717,plain,
( v1_membered(k5_numbers)
| v4_ordinal2(sK355(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325148,c_2183]) ).
tcf(c_325718,plain,
( v1_membered(k5_numbers)
| v1_finset_1(sK355(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325148,c_2174]) ).
tcf(c_325744,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),np__0)
| r1_tarski(sK25(k5_finsub_1(X0),np__0),X0)
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(demodulation,[status(thm)],[c_324484,c_824]) ).
tcf(c_325758,plain,
( v1_membered(k2_finseq_1(np__1))
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_1820,c_2051]) ).
tcf(c_325765,plain,
( v2_membered(k5_finsub_1(np__0))
| ~ v4_ordinal2(np__0) ),
inference(superposition,[status(thm)],[c_919,c_2052]) ).
tcf(c_325766,plain,
( v2_membered(k2_finseq_1(np__1))
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_1820,c_2052]) ).
tcf(c_325774,plain,
v1_membered(k5_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_325716,c_1802]) ).
tcf(c_325779,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| v1_finset_1(sK402(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_325149,c_860]) ).
tcf(c_325780,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| r1_tarski(sK402(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_325149,c_93114]) ).
tcf(c_325781,plain,
( v5_membered(k5_numbers)
| v1_int_1(sK402(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325149,c_2187]) ).
tcf(c_325782,plain,
( v5_membered(k5_numbers)
| v1_xreal_0(sK402(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325149,c_2185]) ).
tcf(c_325783,plain,
( v5_membered(k5_numbers)
| v1_xcmplx_0(sK402(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325149,c_2184]) ).
tcf(c_325784,plain,
( v5_membered(k5_numbers)
| v4_ordinal2(sK402(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325149,c_2183]) ).
tcf(c_325785,plain,
( v5_membered(k5_numbers)
| v1_finset_1(sK402(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325149,c_2174]) ).
tcf(c_325817,plain,
v5_membered(k5_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_325784,c_2040]) ).
tcf(c_325840,plain,
( v3_membered(k5_finsub_1(np__0))
| ~ v4_ordinal2(np__0) ),
inference(superposition,[status(thm)],[c_919,c_2053]) ).
tcf(c_325841,plain,
( v3_membered(k2_finseq_1(np__1))
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_1820,c_2053]) ).
tcf(c_325850,plain,
( v5_membered(k5_finsub_1(np__0))
| ~ v4_ordinal2(np__0) ),
inference(superposition,[status(thm)],[c_919,c_2054]) ).
tcf(c_325851,plain,
( v5_membered(k2_finseq_1(np__1))
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_1820,c_2054]) ).
tcf(c_325860,plain,
~ v3_xreal_0(sK29(k5_numbers)),
inference(superposition,[status(thm)],[c_105,c_2186]) ).
tcf(c_325861,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X1,k5_numbers)
| ~ r1_tarski(X0,k5_numbers)
| ~ v3_xreal_0(sK26(k5_numbers,X0,X1)) ),
inference(superposition,[status(thm)],[c_97754,c_2186]) ).
tcf(c_325862,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_numbers,k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))))
| ~ r1_tarski(k5_numbers,k2_xboole_0(X2,X1))
| ~ v3_xreal_0(sK25(k5_numbers,k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))))) ),
inference(superposition,[status(thm)],[c_323865,c_2186]) ).
tcf(c_325863,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_numbers,k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))))
| ~ r1_tarski(k5_numbers,k2_xboole_0(X1,X2))
| ~ v3_xreal_0(sK25(k5_numbers,k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))))) ),
inference(superposition,[status(thm)],[c_323866,c_2186]) ).
tcf(c_325864,plain,
( r1_tarski(k5_numbers,np__0)
| ~ v3_xreal_0(sK25(k5_numbers,np__0)) ),
inference(superposition,[status(thm)],[c_324141,c_2186]) ).
tcf(c_325865,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| r1_tarski(k5_numbers,sK26(k5_finsub_1(X0),X1,X2))
| ~ r1_tarski(k5_numbers,X0)
| ~ r1_tarski(X2,k5_finsub_1(X0))
| ~ r1_tarski(X1,k5_finsub_1(X0))
| ~ v3_xreal_0(sK25(k5_numbers,sK26(k5_finsub_1(X0),X1,X2))) ),
inference(superposition,[status(thm)],[c_323904,c_2186]) ).
tcf(c_325866,plain,
( v1_realset1(k5_numbers)
| ~ v3_xreal_0(sK72(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325141,c_2186]) ).
tcf(c_325867,plain,
( v1_realset1(k5_numbers)
| ~ v3_xreal_0(sK73(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325142,c_2186]) ).
tcf(c_325868,plain,
( v1_relat_1(k5_numbers)
| ~ v3_xreal_0(sK137(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325143,c_2186]) ).
tcf(c_325909,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r1_tarski(X0,sK207(X1))
| m1_subset_1(sK25(X0,sK207(X1)),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_325276,c_97752]) ).
tcf(c_325910,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))
| r1_tarski(sK207(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK207(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK207(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))) ),
inference(superposition,[status(thm)],[c_325276,c_323864]) ).
tcf(c_325919,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(X0,k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_325404,c_191]) ).
tcf(c_325920,plain,
! [X0: $i] : m1_subset_1(np__0,k2_xboole_0(X0,k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_325404,c_186]) ).
tcf(c_325922,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k5_finsub_1(np__0))
| m1_subset_1(sK25(X0,k5_finsub_1(np__0)),X0)
| ~ r1_tarski(X0,k2_tarski(X1,np__0)) ),
inference(superposition,[status(thm)],[c_325482,c_97752]) ).
tcf(c_325927,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k5_finsub_1(np__0))
| m1_subset_1(sK25(X0,k5_finsub_1(np__0)),X0)
| ~ r1_tarski(X0,k2_tarski(np__0,X1)) ),
inference(superposition,[status(thm)],[c_325488,c_97752]) ).
tcf(c_325937,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_finseq_1(np__1))
| m1_subset_1(sK25(X0,k2_finseq_1(np__1)),X0)
| ~ r1_tarski(X0,k2_tarski(np__1,X1)) ),
inference(superposition,[status(thm)],[c_325615,c_97752]) ).
tcf(c_325942,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_finseq_1(np__1))
| m1_subset_1(sK25(X0,k2_finseq_1(np__1)),X0)
| ~ r1_tarski(X0,k2_tarski(X1,np__1)) ),
inference(superposition,[status(thm)],[c_325616,c_97752]) ).
tcf(c_325947,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(X0,k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_325617,c_191]) ).
tcf(c_325948,plain,
! [X0: $i] : m1_subset_1(np__1,k2_xboole_0(X0,k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_325617,c_186]) ).
tcf(c_325949,plain,
! [X0: $i] :
( r1_tarski(X0,k2_tarski(np__2,np__2))
| m1_subset_1(sK25(X0,k2_tarski(np__2,np__2)),X0)
| ~ r1_tarski(X0,k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_325630,c_97752]) ).
tcf(c_325958,plain,
! [X0: $i] : r1_xboole_0(np__0,k4_xboole_0(X0,np__0)),
inference(superposition,[status(thm)],[c_824,c_2411]) ).
tcf(c_325959,plain,
! [X0: $i] : r1_xboole_0(X0,k4_xboole_0(np__0,X0)),
inference(superposition,[status(thm)],[c_825,c_2411]) ).
tcf(c_325961,plain,
! [X0: $i] : r1_xboole_0(k4_xboole_0(X0,np__0),np__0),
inference(superposition,[status(thm)],[c_824,c_2411]) ).
tcf(c_325962,plain,
! [X0: $i] : r1_xboole_0(k4_xboole_0(np__0,X0),X0),
inference(superposition,[status(thm)],[c_825,c_2411]) ).
tcf(c_325963,plain,
r1_xboole_0(np__0,np__0),
inference(superposition,[status(thm)],[c_30376,c_2411]) ).
tcf(c_325973,plain,
! [X0: $i,X1: $i] : r1_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_2414,c_2434]) ).
tcf(c_325984,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_2459,c_191]) ).
tcf(c_325985,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| m1_subset_1(sK441(X0),X0) ),
inference(superposition,[status(thm)],[c_2459,c_186]) ).
tcf(c_325986,plain,
v1_membered(k3_tarski(np__0)),
inference(superposition,[status(thm)],[c_2459,c_168]) ).
tcf(c_325987,plain,
( v1_membered(k3_tarski(k1_numbers))
| v1_xreal_0(sK441(k1_numbers)) ),
inference(superposition,[status(thm)],[c_2459,c_1783]) ).
tcf(c_325998,plain,
v2_membered(k5_finsub_1(np__0)),
inference(global_subsumption_just,[status(thm)],[c_325765,c_225500]) ).
tcf(c_326041,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_825,c_2461]) ).
tcf(c_326049,plain,
( v2_membered(np__0)
| ~ v3_membered(np__0) ),
inference(superposition,[status(thm)],[c_824,c_2462]) ).
tcf(c_326050,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_825,c_2462]) ).
tcf(c_326051,plain,
! [X0: $i] :
( v2_membered(np__0)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_30376,c_2462]) ).
tcf(c_326065,plain,
! [X0: $i] :
( v3_membered(np__0)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_30376,c_2463]) ).
tcf(c_326083,plain,
v2_membered(np__0),
inference(global_subsumption_just,[status(thm)],[c_326049,c_225446]) ).
tcf(c_326096,plain,
v3_membered(np__0),
inference(global_subsumption_just,[status(thm)],[c_326065,c_225455]) ).
tcf(c_326126,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),np__0)
| r1_tarski(sK25(k5_finsub_1(X0),np__0),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(np__0,X1)) ),
inference(demodulation,[status(thm)],[c_324833,c_824]) ).
tcf(c_326132,plain,
( v1_membered(k2_finseq_1(np__1))
| ~ v1_xreal_0(np__1) ),
inference(superposition,[status(thm)],[c_1820,c_2493]) ).
tcf(c_326140,plain,
( v2_membered(k2_finseq_1(np__1))
| ~ v1_xreal_0(np__1) ),
inference(superposition,[status(thm)],[c_1820,c_2494]) ).
tcf(c_326148,plain,
v1_membered(sK29(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_105,c_2498]) ).
tcf(c_326150,plain,
( v1_xboole_0(k1_numbers)
| v1_membered(sK53(k1_numbers)) ),
inference(superposition,[status(thm)],[c_211,c_2498]) ).
tcf(c_326151,plain,
( v1_xboole_0(k1_numbers)
| v1_membered(sK210(k1_numbers)) ),
inference(superposition,[status(thm)],[c_873,c_2498]) ).
tcf(c_326152,plain,
( v1_xboole_0(k1_numbers)
| v1_membered(sK211(k1_numbers)) ),
inference(superposition,[status(thm)],[c_882,c_2498]) ).
tcf(c_326154,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| v1_membered(sK26(k1_zfmisc_1(k1_numbers),X1,X0))
| ~ r1_tarski(X1,k1_zfmisc_1(k1_numbers))
| ~ r1_tarski(X0,k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_97754,c_2498]) ).
tcf(c_326155,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| v1_membered(sK25(k1_zfmisc_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))))
| ~ r1_tarski(k1_zfmisc_1(k1_numbers),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323865,c_2498]) ).
tcf(c_326156,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| v1_membered(sK25(k1_zfmisc_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))))
| ~ r1_tarski(k1_zfmisc_1(k1_numbers),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323866,c_2498]) ).
tcf(c_326157,plain,
( r1_tarski(k1_zfmisc_1(k1_numbers),np__0)
| v1_membered(sK25(k1_zfmisc_1(k1_numbers),np__0)) ),
inference(superposition,[status(thm)],[c_324141,c_2498]) ).
tcf(c_326158,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r1_tarski(k1_zfmisc_1(k1_numbers),sK26(k5_finsub_1(X1),X2,X0))
| v1_membered(sK25(k1_zfmisc_1(k1_numbers),sK26(k5_finsub_1(X1),X2,X0)))
| ~ r1_tarski(k1_zfmisc_1(k1_numbers),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323904,c_2498]) ).
tcf(c_326159,plain,
( v1_realset1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK72(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_325141,c_2498]) ).
tcf(c_326160,plain,
( v1_realset1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK73(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_325142,c_2498]) ).
tcf(c_326161,plain,
( v1_relat_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK137(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_325143,c_2498]) ).
tcf(c_326162,plain,
( v1_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK355(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_325148,c_2498]) ).
tcf(c_326163,plain,
( v5_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK402(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_325149,c_2498]) ).
tcf(c_326164,plain,
v1_membered(sK211(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_326152,c_2495]) ).
tcf(c_326165,plain,
v1_membered(sK210(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_326151,c_2495]) ).
tcf(c_326166,plain,
v1_membered(sK53(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_326150,c_2495]) ).
tcf(c_326199,plain,
v2_membered(sK29(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_105,c_2499]) ).
tcf(c_326201,plain,
( v1_xboole_0(k1_numbers)
| v2_membered(sK53(k1_numbers)) ),
inference(superposition,[status(thm)],[c_211,c_2499]) ).
tcf(c_326202,plain,
( v1_xboole_0(k1_numbers)
| v2_membered(sK210(k1_numbers)) ),
inference(superposition,[status(thm)],[c_873,c_2499]) ).
tcf(c_326203,plain,
( v1_xboole_0(k1_numbers)
| v2_membered(sK211(k1_numbers)) ),
inference(superposition,[status(thm)],[c_882,c_2499]) ).
tcf(c_326204,plain,
v2_membered(k5_numbers),
inference(superposition,[status(thm)],[c_1089,c_2499]) ).
tcf(c_326205,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| v2_membered(sK26(k1_zfmisc_1(k1_numbers),X1,X0))
| ~ r1_tarski(X1,k1_zfmisc_1(k1_numbers))
| ~ r1_tarski(X0,k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_97754,c_2499]) ).
tcf(c_326206,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| v2_membered(sK25(k1_zfmisc_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))))
| ~ r1_tarski(k1_zfmisc_1(k1_numbers),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323865,c_2499]) ).
tcf(c_326207,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| v2_membered(sK25(k1_zfmisc_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))))
| ~ r1_tarski(k1_zfmisc_1(k1_numbers),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323866,c_2499]) ).
tcf(c_326208,plain,
( r1_tarski(k1_zfmisc_1(k1_numbers),np__0)
| v2_membered(sK25(k1_zfmisc_1(k1_numbers),np__0)) ),
inference(superposition,[status(thm)],[c_324141,c_2499]) ).
tcf(c_326209,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r1_tarski(k1_zfmisc_1(k1_numbers),sK26(k5_finsub_1(X1),X2,X0))
| v2_membered(sK25(k1_zfmisc_1(k1_numbers),sK26(k5_finsub_1(X1),X2,X0)))
| ~ r1_tarski(k1_zfmisc_1(k1_numbers),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323904,c_2499]) ).
tcf(c_326210,plain,
( v1_realset1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK72(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_325141,c_2499]) ).
tcf(c_326211,plain,
( v1_realset1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK73(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_325142,c_2499]) ).
tcf(c_326212,plain,
( v1_relat_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK137(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_325143,c_2499]) ).
tcf(c_326213,plain,
( v1_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK355(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_325148,c_2499]) ).
tcf(c_326214,plain,
( v5_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK402(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_325149,c_2499]) ).
tcf(c_326215,plain,
v2_membered(sK211(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_326203,c_2495]) ).
tcf(c_326216,plain,
v2_membered(sK210(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_326202,c_2495]) ).
tcf(c_326217,plain,
v2_membered(sK53(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_326201,c_2495]) ).
tcf(c_326260,plain,
k5_finsub_1(np__0) != np__0,
inference(superposition,[status(thm)],[c_919,c_32641]) ).
tcf(c_326261,plain,
k2_finseq_1(np__1) != np__0,
inference(superposition,[status(thm)],[c_1820,c_32641]) ).
tcf(c_326267,plain,
! [X0: $i] :
( v1_xreal_0(k2_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_93537,c_1075]) ).
tcf(c_326268,plain,
! [X0: $i] :
( v1_xcmplx_0(k2_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_93537,c_1074]) ).
tcf(c_326277,plain,
! [X0: $i] :
( v1_xreal_0(k6_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_93539,c_1075]) ).
tcf(c_326278,plain,
! [X0: $i] :
( v1_xcmplx_0(k6_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_93539,c_1074]) ).
tcf(c_326288,plain,
! [X0: $i] : ~ r2_hidden(X0,X0),
inference(superposition,[status(thm)],[c_101,c_69]) ).
tcf(c_326289,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_263,c_69]) ).
tcf(c_326290,plain,
! [X0: $i] : ~ r2_hidden(X0,k2_relat_1(sK89(X0,np__0))),
inference(superposition,[status(thm)],[c_410,c_69]) ).
tcf(c_326291,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(X0,X1),X0),
inference(superposition,[status(thm)],[c_518,c_69]) ).
tcf(c_326292,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(X0,k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_819,c_69]) ).
tcf(c_326293,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k5_finsub_1(X0)),
inference(superposition,[status(thm)],[c_920,c_69]) ).
tcf(c_326294,plain,
~ r2_hidden(k1_numbers,k5_numbers),
inference(superposition,[status(thm)],[c_1091,c_69]) ).
tcf(c_326295,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_tarski(X0,X1),k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_1425,c_69]) ).
tcf(c_326296,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_tarski(X0,X1),k2_tarski(X1,X1)),
inference(superposition,[status(thm)],[c_1408,c_69]) ).
tcf(c_326297,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),k1_zfmisc_1(k4_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_33271,c_69]) ).
tcf(c_326298,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_xboole_0(X0,X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),
inference(superposition,[status(thm)],[c_34474,c_69]) ).
tcf(c_326299,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ~ r1_tarski(X2,k5_finsub_1(X0))
| ~ r1_tarski(X1,k5_finsub_1(X0))
| ~ r2_hidden(X0,sK26(k5_finsub_1(X0),X1,X2)) ),
inference(superposition,[status(thm)],[c_323884,c_69]) ).
tcf(c_326300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X3,X2))
| ~ r2_hidden(X0,sK25(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3))))) ),
inference(superposition,[status(thm)],[c_323943,c_69]) ).
tcf(c_326301,plain,
! [X0: $i] : ~ r2_hidden(X0,sK29(k5_finsub_1(X0))),
inference(superposition,[status(thm)],[c_323947,c_69]) ).
tcf(c_326302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| r1_tarski(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X2,X3))
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k5_finsub_1(X0),X1)
| ~ r2_hidden(X0,sK25(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X2,X3))) ),
inference(superposition,[status(thm)],[c_324241,c_69]) ).
tcf(c_326303,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(np__0,X2))
| ~ r2_hidden(X0,sK25(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,X2)))) ),
inference(superposition,[status(thm)],[c_324823,c_69]) ).
tcf(c_326304,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(k5_finsub_1(X0),X2)
| ~ r2_hidden(X0,sK25(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,X2)))) ),
inference(superposition,[status(thm)],[c_324474,c_69]) ).
tcf(c_326305,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(X0,k4_xboole_0(X1,k4_xboole_0(X1,X0))),
inference(superposition,[status(thm)],[c_324338,c_69]) ).
tcf(c_326306,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(np__0,X0),k4_xboole_0(X1,k4_xboole_0(X1,X0))),
inference(superposition,[status(thm)],[c_324339,c_69]) ).
tcf(c_326307,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(X0,k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(np__0,X0)))),
inference(superposition,[status(thm)],[c_324342,c_69]) ).
tcf(c_326308,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(X0),np__0)
| ~ r2_hidden(X0,sK25(k5_finsub_1(X0),np__0)) ),
inference(superposition,[status(thm)],[c_324147,c_69]) ).
tcf(c_326309,plain,
! [X0: $i] : ~ r2_hidden(k2_xboole_0(np__0,X0),X0),
inference(superposition,[status(thm)],[c_324911,c_69]) ).
tcf(c_326310,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK207(X0)) ),
inference(superposition,[status(thm)],[c_325276,c_69]) ).
tcf(c_326311,plain,
! [X0: $i] : ~ r2_hidden(k2_tarski(X0,np__0),k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_325482,c_69]) ).
tcf(c_326312,plain,
! [X0: $i] : ~ r2_hidden(k2_tarski(np__0,X0),k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_325488,c_69]) ).
tcf(c_326313,plain,
! [X0: $i] : ~ r2_hidden(k2_tarski(np__1,X0),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_325615,c_69]) ).
tcf(c_326314,plain,
! [X0: $i] : ~ r2_hidden(k2_tarski(X0,np__1),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_325616,c_69]) ).
tcf(c_326315,plain,
~ r2_hidden(k1_zfmisc_1(np__1),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_325618,c_69]) ).
tcf(c_326316,plain,
~ r2_hidden(k2_finseq_1(np__2),k2_tarski(np__2,np__2)),
inference(superposition,[status(thm)],[c_325630,c_69]) ).
tcf(c_326317,plain,
~ r2_hidden(k2_finseq_1(np__2),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_325633,c_69]) ).
tcf(c_326318,plain,
! [X0: $i] : ~ r2_hidden(k2_xboole_0(k5_finsub_1(np__0),k1_zfmisc_1(X0)),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_325644,c_69]) ).
tcf(c_326346,plain,
! [X0: $i] :
( m1_subset_1(X0,k5_finsub_1(np__0))
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_30123,c_71]) ).
tcf(c_326347,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ r1_tarski(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_71,c_2499]) ).
tcf(c_326348,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ r1_tarski(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_71,c_2498]) ).
tcf(c_326355,plain,
~ v1_xreal_0(k1_numbers),
inference(superposition,[status(thm)],[c_1784,c_326288]) ).
tcf(c_326356,plain,
! [X0: $i] : ~ v1_xreal_0(k2_xboole_0(k1_numbers,X0)),
inference(superposition,[status(thm)],[c_1784,c_326291]) ).
tcf(c_326361,plain,
~ r2_hidden(np__0,np__0),
inference(superposition,[status(thm)],[c_824,c_326292]) ).
tcf(c_326364,plain,
~ r2_hidden(k5_finsub_1(np__0),k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_30123,c_326293]) ).
tcf(c_326365,plain,
~ v1_xreal_0(k2_xboole_0(np__0,k1_numbers)),
inference(superposition,[status(thm)],[c_1784,c_326309]) ).
tcf(c_326374,plain,
! [X0: $i] : r1_tarski(sK29(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_105,c_72]) ).
tcf(c_326375,plain,
! [X0: $i] :
( v3_realset2(X0)
| r1_tarski(k7_lopclset(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_93008,c_72]) ).
tcf(c_326377,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK53(X0),X0) ),
inference(superposition,[status(thm)],[c_211,c_72]) ).
tcf(c_326378,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK210(X0),X0) ),
inference(superposition,[status(thm)],[c_873,c_72]) ).
tcf(c_326379,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK211(X0),X0) ),
inference(superposition,[status(thm)],[c_882,c_72]) ).
tcf(c_326381,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r1_tarski(sK26(k1_zfmisc_1(X1),X2,X0),X1)
| ~ r1_tarski(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_97754,c_72]) ).
tcf(c_326382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323865,c_72]) ).
tcf(c_326383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323866,c_72]) ).
tcf(c_326384,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(X0),np__0)
| r1_tarski(sK25(k1_zfmisc_1(X0),np__0),X0) ),
inference(superposition,[status(thm)],[c_324141,c_72]) ).
tcf(c_326385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| r1_tarski(sK25(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2)),X0)
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_323904,c_72]) ).
tcf(c_326386,plain,
! [X0: $i] :
( v1_realset1(k1_zfmisc_1(X0))
| r1_tarski(sK72(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_325141,c_72]) ).
tcf(c_326387,plain,
! [X0: $i] :
( v1_realset1(k1_zfmisc_1(X0))
| r1_tarski(sK73(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_325142,c_72]) ).
tcf(c_326388,plain,
! [X0: $i] :
( v1_relat_1(k1_zfmisc_1(X0))
| r1_tarski(sK137(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_325143,c_72]) ).
tcf(c_326389,plain,
! [X0: $i] :
( v1_membered(k1_zfmisc_1(X0))
| r1_tarski(sK355(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_325148,c_72]) ).
tcf(c_326390,plain,
! [X0: $i] :
( v5_membered(k1_zfmisc_1(X0))
| r1_tarski(sK402(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_325149,c_72]) ).
tcf(c_326391,plain,
! [X0: $i] :
( r1_tarski(X0,np__0)
| ~ m1_subset_1(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_30123,c_72]) ).
tcf(c_326437,plain,
! [X0: $i] :
( r2_hidden(X0,k5_finsub_1(np__0))
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_30123,c_93]) ).
tcf(c_326438,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_93,c_191]) ).
tcf(c_326440,plain,
! [X0: $i] : ~ r1_tarski(k1_zfmisc_1(X0),X0),
inference(superposition,[status(thm)],[c_93,c_326288]) ).
tcf(c_326441,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),X1),X0),
inference(superposition,[status(thm)],[c_93,c_326291]) ).
tcf(c_326442,plain,
! [X0: $i] : ~ r1_tarski(k2_xboole_0(np__0,k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_93,c_326309]) ).
tcf(c_326455,plain,
! [X0: $i] :
( v1_membered(k3_tarski(k1_zfmisc_1(X0)))
| r1_tarski(sK441(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_2459,c_94]) ).
tcf(c_326456,plain,
! [X0: $i] :
( r1_tarski(X0,np__0)
| ~ r2_hidden(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_30123,c_94]) ).
tcf(c_326467,plain,
k2_relat_1(sK89(np__0,np__0)) = np__0,
inference(superposition,[status(thm)],[c_410,c_95]) ).
tcf(c_326469,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| ( sK26(k5_finsub_1(np__0),X1,X0) = np__0 )
| ~ r1_tarski(X1,k5_finsub_1(np__0))
| ~ r1_tarski(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_323884,c_95]) ).
tcf(c_326470,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| ( sK25(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))) = np__0 )
| ~ r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323943,c_95]) ).
tcf(c_326471,plain,
sK29(k5_finsub_1(np__0)) = np__0,
inference(superposition,[status(thm)],[c_323947,c_95]) ).
tcf(c_326472,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r1_tarski(k5_finsub_1(np__0),sK26(k5_finsub_1(X1),X2,X0))
| ( sK25(k5_finsub_1(np__0),sK26(k5_finsub_1(X1),X2,X0)) = np__0 )
| ~ r1_tarski(k5_finsub_1(np__0),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_324241,c_95]) ).
tcf(c_326473,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(np__0),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ( sK25(k5_finsub_1(np__0),k4_xboole_0(X1,k4_xboole_0(X1,X0))) = np__0 )
| ~ r1_tarski(k5_finsub_1(np__0),k2_xboole_0(np__0,X0)) ),
inference(superposition,[status(thm)],[c_324823,c_95]) ).
tcf(c_326474,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(np__0),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ( sK25(k5_finsub_1(np__0),k4_xboole_0(X1,k4_xboole_0(X1,X0))) = np__0 )
| ~ r1_tarski(k5_finsub_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_324474,c_95]) ).
tcf(c_326475,plain,
! [X0: $i] : k4_xboole_0(X0,k4_xboole_0(X0,np__0)) = np__0,
inference(superposition,[status(thm)],[c_324338,c_95]) ).
tcf(c_326476,plain,
! [X0: $i] : k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(np__0,np__0))) = np__0,
inference(superposition,[status(thm)],[c_324342,c_95]) ).
tcf(c_326477,plain,
( r1_tarski(k5_finsub_1(np__0),np__0)
| ( sK25(k5_finsub_1(np__0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_324147,c_95]) ).
tcf(c_326501,plain,
r1_tarski(sK29(k5_finsub_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_30123,c_326374]) ).
tcf(c_326502,plain,
! [X0: $i] : ~ r2_hidden(X0,sK29(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_326374,c_69]) ).
tcf(c_326503,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK29(k1_zfmisc_1(X1)))
| m1_subset_1(sK25(X0,sK29(k1_zfmisc_1(X1))),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_326374,c_97752]) ).
tcf(c_326504,plain,
sK29(k1_zfmisc_1(np__0)) = np__0,
inference(superposition,[status(thm)],[c_326374,c_95]) ).
tcf(c_326505,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK29(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK29(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK29(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))))) ),
inference(superposition,[status(thm)],[c_326374,c_323864]) ).
tcf(c_326513,plain,
~ r1_tarski(k5_finsub_1(np__0),np__0),
inference(superposition,[status(thm)],[c_30123,c_326440]) ).
tcf(c_326520,plain,
v2_membered(k2_relat_1(sK89(k1_numbers,np__0))),
inference(superposition,[status(thm)],[c_410,c_326347]) ).
tcf(c_326521,plain,
! [X0: $i] : v2_membered(k4_xboole_0(k1_numbers,X0)),
inference(superposition,[status(thm)],[c_819,c_326347]) ).
tcf(c_326523,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| v2_membered(sK26(k5_finsub_1(k1_numbers),X1,X0))
| ~ r1_tarski(X1,k5_finsub_1(k1_numbers))
| ~ r1_tarski(X0,k5_finsub_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_323884,c_326347]) ).
tcf(c_326524,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| v2_membered(sK25(k5_finsub_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))))
| ~ r1_tarski(k5_finsub_1(k1_numbers),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323943,c_326347]) ).
tcf(c_326525,plain,
v2_membered(sK29(k5_finsub_1(k1_numbers))),
inference(superposition,[status(thm)],[c_323947,c_326347]) ).
tcf(c_326526,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r1_tarski(k5_finsub_1(k1_numbers),sK26(k5_finsub_1(X1),X2,X0))
| v2_membered(sK25(k5_finsub_1(k1_numbers),sK26(k5_finsub_1(X1),X2,X0)))
| ~ r1_tarski(k5_finsub_1(k1_numbers),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_324241,c_326347]) ).
tcf(c_326527,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(k1_numbers),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| v2_membered(sK25(k5_finsub_1(k1_numbers),k4_xboole_0(X1,k4_xboole_0(X1,X0))))
| ~ r1_tarski(k5_finsub_1(k1_numbers),k2_xboole_0(np__0,X0)) ),
inference(superposition,[status(thm)],[c_324823,c_326347]) ).
tcf(c_326528,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(k1_numbers),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| v2_membered(sK25(k5_finsub_1(k1_numbers),k4_xboole_0(X1,k4_xboole_0(X1,X0))))
| ~ r1_tarski(k5_finsub_1(k1_numbers),X0) ),
inference(superposition,[status(thm)],[c_324474,c_326347]) ).
tcf(c_326529,plain,
! [X0: $i] : v2_membered(k4_xboole_0(X0,k4_xboole_0(X0,k1_numbers))),
inference(superposition,[status(thm)],[c_324338,c_326347]) ).
tcf(c_326530,plain,
! [X0: $i] : v2_membered(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(np__0,k1_numbers)))),
inference(superposition,[status(thm)],[c_324342,c_326347]) ).
tcf(c_326531,plain,
( r1_tarski(k5_finsub_1(k1_numbers),np__0)
| v2_membered(sK25(k5_finsub_1(k1_numbers),np__0)) ),
inference(superposition,[status(thm)],[c_324147,c_326347]) ).
tcf(c_326532,plain,
( v1_xboole_0(k1_numbers)
| v2_membered(sK207(k1_numbers)) ),
inference(superposition,[status(thm)],[c_325276,c_326347]) ).
tcf(c_326534,plain,
v2_membered(sK207(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_326532,c_2495]) ).
tcf(c_326556,plain,
v1_membered(sK207(k1_numbers)),
inference(superposition,[status(thm)],[c_326534,c_2500]) ).
tcf(c_326559,plain,
! [X0: $i] : v1_membered(k4_xboole_0(k1_numbers,X0)),
inference(superposition,[status(thm)],[c_326521,c_2500]) ).
tcf(c_326560,plain,
v1_membered(sK29(k5_finsub_1(k1_numbers))),
inference(superposition,[status(thm)],[c_326525,c_2500]) ).
tcf(c_326573,plain,
! [X0: $i] :
( v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_326375,c_69]) ).
tcf(c_326574,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k7_lopclset(X1))
| m1_subset_1(sK25(X0,k7_lopclset(X1)),X0)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_326375,c_97752]) ).
tcf(c_326591,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_103,c_191]) ).
tcf(c_326592,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| m1_subset_1(sK28(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_103,c_186]) ).
tcf(c_326593,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| r1_tarski(sK28(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_103,c_94]) ).
tcf(c_326595,plain,
! [X0: $i] :
( r1_tarski(k1_numbers,X0)
| v1_xreal_0(sK28(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_103,c_1783]) ).
tcf(c_326609,plain,
! [X0: $i] :
( m1_subset_1(sK41(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_167,c_186]) ).
tcf(c_326610,plain,
! [X0: $i] :
( r1_tarski(sK41(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_167,c_94]) ).
tcf(c_326612,plain,
( v1_xreal_0(sK41(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_167,c_1783]) ).
tcf(c_326623,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK47(k1_zfmisc_1(X1)),k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_93,c_192]) ).
tcf(c_326624,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_103,c_192]) ).
tcf(c_326625,plain,
! [X0: $i] :
( r2_hidden(sK47(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_167,c_192]) ).
tcf(c_326626,plain,
! [X0: $i,X1: $i] : r2_hidden(sK47(k2_xboole_0(X0,k2_tarski(X1,X1))),k2_xboole_0(X0,k2_tarski(X1,X1))),
inference(superposition,[status(thm)],[c_233,c_192]) ).
tcf(c_326627,plain,
! [X0: $i] :
( v1_realset1(X0)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_337,c_192]) ).
tcf(c_326629,plain,
! [X0: $i] :
( v1_relat_1(X0)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_587,c_192]) ).
tcf(c_326630,plain,
! [X0: $i] : r2_hidden(sK47(k1_card_1(k1_zfmisc_1(X0))),k1_card_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_1301,c_192]) ).
tcf(c_326631,plain,
! [X0: $i,X1: $i] : r2_hidden(sK47(k2_tarski(X0,X1)),k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_1433,c_192]) ).
tcf(c_326633,plain,
! [X0: $i] :
( r2_hidden(sK47(k1_numbers),k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_1784,c_192]) ).
tcf(c_326634,plain,
! [X0: $i] :
( v1_membered(X0)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_1803,c_192]) ).
tcf(c_326635,plain,
! [X0: $i] :
( v5_membered(X0)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_2041,c_192]) ).
tcf(c_326636,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_2459,c_192]) ).
tcf(c_326637,plain,
r2_hidden(sK47(k1_card_1(k5_finsub_1(np__0))),k1_card_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_324512,c_192]) ).
tcf(c_326638,plain,
r2_hidden(sK47(k5_finsub_1(np__0)),k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_325408,c_192]) ).
tcf(c_326639,plain,
! [X0: $i] : r2_hidden(sK47(k2_xboole_0(X0,k5_finsub_1(np__0))),k2_xboole_0(X0,k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_325404,c_192]) ).
tcf(c_326640,plain,
r2_hidden(sK47(k2_finseq_1(np__1)),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_325622,c_192]) ).
tcf(c_326641,plain,
! [X0: $i] : r2_hidden(sK47(k2_xboole_0(X0,k2_finseq_1(np__1))),k2_xboole_0(X0,k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_325617,c_192]) ).
tcf(c_326642,plain,
r2_hidden(sK47(k2_finseq_1(np__2)),k2_finseq_1(np__2)),
inference(superposition,[status(thm)],[c_325627,c_192]) ).
tcf(c_326666,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_93,c_196]) ).
tcf(c_326667,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(X0,sK28(X0,X1)) ),
inference(superposition,[status(thm)],[c_103,c_196]) ).
tcf(c_326668,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK41(X0)) ),
inference(superposition,[status(thm)],[c_167,c_196]) ).
tcf(c_326669,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(X0,k2_tarski(X1,X1)),X1),
inference(superposition,[status(thm)],[c_233,c_196]) ).
tcf(c_326670,plain,
! [X0: $i] :
( v1_realset1(X0)
| ~ r2_hidden(X0,sK72(X0)) ),
inference(superposition,[status(thm)],[c_337,c_196]) ).
tcf(c_326671,plain,
! [X0: $i] :
( v1_realset1(X0)
| ~ r2_hidden(X0,sK73(X0)) ),
inference(superposition,[status(thm)],[c_338,c_196]) ).
tcf(c_326672,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ r2_hidden(X0,sK137(X0)) ),
inference(superposition,[status(thm)],[c_587,c_196]) ).
tcf(c_326673,plain,
! [X0: $i] : ~ r2_hidden(k1_card_1(k1_zfmisc_1(X0)),k1_card_1(X0)),
inference(superposition,[status(thm)],[c_1301,c_196]) ).
tcf(c_326674,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_tarski(X0,X1),X0),
inference(superposition,[status(thm)],[c_1433,c_196]) ).
tcf(c_326675,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_tarski(X0,X1),X1),
inference(superposition,[status(thm)],[c_1434,c_196]) ).
tcf(c_326676,plain,
! [X0: $i] :
( ~ v1_xreal_0(X0)
| ~ r2_hidden(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_1784,c_196]) ).
tcf(c_326677,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ r2_hidden(X0,sK355(X0)) ),
inference(superposition,[status(thm)],[c_1803,c_196]) ).
tcf(c_326678,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ r2_hidden(X0,sK402(X0)) ),
inference(superposition,[status(thm)],[c_2041,c_196]) ).
tcf(c_326679,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| ~ r2_hidden(X0,sK441(X0)) ),
inference(superposition,[status(thm)],[c_2459,c_196]) ).
tcf(c_326680,plain,
~ r2_hidden(k1_card_1(k5_finsub_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_324512,c_196]) ).
tcf(c_326681,plain,
~ r2_hidden(k5_finsub_1(np__0),np__0),
inference(superposition,[status(thm)],[c_325408,c_196]) ).
tcf(c_326682,plain,
! [X0: $i] : ~ r2_hidden(k2_xboole_0(X0,k5_finsub_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_325404,c_196]) ).
tcf(c_326683,plain,
~ r2_hidden(k2_finseq_1(np__1),np__1),
inference(superposition,[status(thm)],[c_325622,c_196]) ).
tcf(c_326684,plain,
! [X0: $i] : ~ r2_hidden(k2_xboole_0(X0,k2_finseq_1(np__1)),np__1),
inference(superposition,[status(thm)],[c_325617,c_196]) ).
tcf(c_326685,plain,
~ r2_hidden(k2_finseq_1(np__2),np__1),
inference(superposition,[status(thm)],[c_325627,c_196]) ).
tcf(c_326686,plain,
~ r2_hidden(k2_finseq_1(np__2),np__2),
inference(superposition,[status(thm)],[c_325632,c_196]) ).
tcf(c_326707,plain,
v1_membered(k2_relat_1(sK89(k1_numbers,np__0))),
inference(superposition,[status(thm)],[c_326520,c_2500]) ).
tcf(c_326717,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| v1_membered(sK26(k5_finsub_1(k1_numbers),X1,X0))
| ~ r1_tarski(X1,k5_finsub_1(k1_numbers))
| ~ r1_tarski(X0,k5_finsub_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_323884,c_326348]) ).
tcf(c_326718,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| v1_membered(sK25(k5_finsub_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))))
| ~ r1_tarski(k5_finsub_1(k1_numbers),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323943,c_326348]) ).
tcf(c_326720,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r1_tarski(k5_finsub_1(k1_numbers),sK26(k5_finsub_1(X1),X2,X0))
| v1_membered(sK25(k5_finsub_1(k1_numbers),sK26(k5_finsub_1(X1),X2,X0)))
| ~ r1_tarski(k5_finsub_1(k1_numbers),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_324241,c_326348]) ).
tcf(c_326721,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(k1_numbers),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| v1_membered(sK25(k5_finsub_1(k1_numbers),k4_xboole_0(X1,k4_xboole_0(X1,X0))))
| ~ r1_tarski(k5_finsub_1(k1_numbers),k2_xboole_0(np__0,X0)) ),
inference(superposition,[status(thm)],[c_324823,c_326348]) ).
tcf(c_326722,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(k1_numbers),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| v1_membered(sK25(k5_finsub_1(k1_numbers),k4_xboole_0(X1,k4_xboole_0(X1,X0))))
| ~ r1_tarski(k5_finsub_1(k1_numbers),X0) ),
inference(superposition,[status(thm)],[c_324474,c_326348]) ).
tcf(c_326723,plain,
! [X0: $i] : v1_membered(k4_xboole_0(X0,k4_xboole_0(X0,k1_numbers))),
inference(superposition,[status(thm)],[c_324338,c_326348]) ).
tcf(c_326724,plain,
! [X0: $i] : v1_membered(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(np__0,k1_numbers)))),
inference(superposition,[status(thm)],[c_324342,c_326348]) ).
tcf(c_326725,plain,
( r1_tarski(k5_finsub_1(k1_numbers),np__0)
| v1_membered(sK25(k5_finsub_1(k1_numbers),np__0)) ),
inference(superposition,[status(thm)],[c_324147,c_326348]) ).
tcf(c_326753,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK53(X0)) ),
inference(superposition,[status(thm)],[c_326377,c_69]) ).
tcf(c_326754,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r1_tarski(X0,sK53(X1))
| m1_subset_1(sK25(X0,sK53(X1)),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_326377,c_97752]) ).
tcf(c_326758,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))
| r1_tarski(sK53(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK53(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK53(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))) ),
inference(superposition,[status(thm)],[c_326377,c_323864]) ).
tcf(c_326772,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK210(X0)) ),
inference(superposition,[status(thm)],[c_326378,c_69]) ).
tcf(c_326773,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r1_tarski(X0,sK210(X1))
| m1_subset_1(sK25(X0,sK210(X1)),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_326378,c_97752]) ).
tcf(c_326777,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))
| r1_tarski(sK210(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK210(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK210(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))) ),
inference(superposition,[status(thm)],[c_326378,c_323864]) ).
tcf(c_326791,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK211(X0)) ),
inference(superposition,[status(thm)],[c_326379,c_69]) ).
tcf(c_326792,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r1_tarski(X0,sK211(X1))
| m1_subset_1(sK25(X0,sK211(X1)),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_326379,c_97752]) ).
tcf(c_326796,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))
| r1_tarski(sK211(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK211(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK211(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))) ),
inference(superposition,[status(thm)],[c_326379,c_323864]) ).
tcf(c_326810,plain,
~ r2_hidden(np__0,sK29(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_30123,c_326502]) ).
tcf(c_326813,plain,
v2_membered(k4_xboole_0(np__0,np__0)),
inference(superposition,[status(thm)],[c_824,c_326529]) ).
tcf(c_326814,plain,
v2_membered(k4_xboole_0(k1_numbers,np__0)),
inference(superposition,[status(thm)],[c_30376,c_326529]) ).
tcf(c_326816,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(X0,X1),k2_xboole_0(X1,X0)),
inference(demodulation,[status(thm)],[c_324903,c_825]) ).
tcf(c_326819,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(np__0,X0),X0),
inference(superposition,[status(thm)],[c_522,c_326816]) ).
tcf(c_326821,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(X0,X1),k2_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_326816,c_69]) ).
tcf(c_326822,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X2,X1))
| m1_subset_1(sK25(X0,k2_xboole_0(X2,X1)),X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_326816,c_97752]) ).
tcf(c_326847,plain,
! [X0: $i] : ~ r2_hidden(X0,k2_xboole_0(np__0,X0)),
inference(superposition,[status(thm)],[c_326819,c_69]) ).
tcf(c_326848,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_xboole_0(np__0,X1))
| m1_subset_1(sK25(X0,k2_xboole_0(np__0,X1)),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_326819,c_97752]) ).
tcf(c_326849,plain,
k2_xboole_0(np__0,np__0) = np__0,
inference(superposition,[status(thm)],[c_326819,c_95]) ).
tcf(c_326850,plain,
v1_membered(k2_xboole_0(np__0,k1_numbers)),
inference(superposition,[status(thm)],[c_326819,c_326348]) ).
tcf(c_326851,plain,
v2_membered(k2_xboole_0(np__0,k1_numbers)),
inference(superposition,[status(thm)],[c_326819,c_326347]) ).
tcf(c_326852,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_xboole_0(np__0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(k2_xboole_0(np__0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k1_zfmisc_1(k4_xboole_0(X0,X1))),k2_xboole_0(np__0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))) ),
inference(superposition,[status(thm)],[c_326819,c_323864]) ).
tcf(c_326863,plain,
~ v1_xboole_0(a_2_0_lopclset(sK23,sK24)),
inference(superposition,[status(thm)],[c_326591,c_50]) ).
tcf(c_326865,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| m1_subset_1(sK25(X0,X2),X0)
| ~ v1_xboole_0(X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_326591,c_97752]) ).
tcf(c_326868,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_326591,c_326347]) ).
tcf(c_326869,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(X1,X2)))
| m1_subset_1(sK25(X0,k1_zfmisc_1(k4_xboole_0(X1,X2))),X0)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_326591,c_323864]) ).
tcf(c_326886,plain,
! [X0: $i] :
( v2_membered(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_433,c_326868]) ).
tcf(c_326887,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_550,c_326868]) ).
tcf(c_326896,plain,
! [X0: $i] :
( v1_realset1(X0)
| ~ r2_hidden(X0,sK47(X0)) ),
inference(superposition,[status(thm)],[c_326627,c_196]) ).
tcf(c_326899,plain,
! [X0: $i] :
( v1_realset1(X0)
| m1_subset_1(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_326627,c_186]) ).
tcf(c_326900,plain,
! [X0: $i] :
( v1_realset1(k1_zfmisc_1(X0))
| r1_tarski(sK47(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_326627,c_94]) ).
tcf(c_326902,plain,
( v1_realset1(k1_numbers)
| v1_xreal_0(sK47(k1_numbers)) ),
inference(superposition,[status(thm)],[c_326627,c_1783]) ).
tcf(c_326911,plain,
v1_xreal_0(sK47(k1_numbers)),
inference(global_subsumption_just,[status(thm)],[c_326902,c_2597,c_224362,c_228117]) ).
tcf(c_326913,plain,
v1_xcmplx_0(sK47(k1_numbers)),
inference(superposition,[status(thm)],[c_326911,c_1811]) ).
tcf(c_326918,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ r2_hidden(X0,sK47(X0)) ),
inference(superposition,[status(thm)],[c_326629,c_196]) ).
tcf(c_326921,plain,
! [X0: $i] :
( v1_relat_1(X0)
| m1_subset_1(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_326629,c_186]) ).
tcf(c_326922,plain,
! [X0: $i] :
( v1_relat_1(k1_zfmisc_1(X0))
| r1_tarski(sK47(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_326629,c_94]) ).
tcf(c_326935,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ r2_hidden(X0,sK47(X0)) ),
inference(superposition,[status(thm)],[c_326634,c_196]) ).
tcf(c_326938,plain,
! [X0: $i] :
( v1_membered(X0)
| m1_subset_1(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_326634,c_186]) ).
tcf(c_326939,plain,
! [X0: $i] :
( v1_membered(k1_zfmisc_1(X0))
| r1_tarski(sK47(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_326634,c_94]) ).
tcf(c_326948,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| r1_tarski(sK25(k5_finsub_1(X0),X1),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(np__0,X1)) ),
inference(demodulation,[status(thm)],[c_324904,c_825,c_30376]) ).
tcf(c_326958,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| r1_tarski(sK25(k5_finsub_1(X0),X1),X0)
| ~ v1_xboole_0(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_326591,c_326948]) ).
tcf(c_326959,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(X0),k5_finsub_1(X0))
| r1_tarski(sK25(k5_finsub_1(X0),k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_324911,c_326948]) ).
tcf(c_326974,plain,
! [X0: $i,X1: $i] : r1_xboole_0(np__0,k4_xboole_0(k2_xboole_0(X0,X1),X0)),
inference(superposition,[status(thm)],[c_492,c_2411]) ).
tcf(c_326977,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,np__0),k2_xboole_0(np__0,k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_492,c_324339]) ).
tcf(c_326978,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,np__0),k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_492,c_324338]) ).
tcf(c_326979,plain,
! [X0: $i,X1: $i] : r1_xboole_0(np__0,k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_492,c_2414]) ).
tcf(c_326981,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(k2_xboole_0(X0,X1))))),
inference(superposition,[status(thm)],[c_492,c_33271]) ).
tcf(c_326982,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k2_xboole_0(X0,X1),np__0),
inference(superposition,[status(thm)],[c_492,c_325973]) ).
tcf(c_326983,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(k2_xboole_0(X0,X1),X0),np__0),
inference(superposition,[status(thm)],[c_492,c_2411]) ).
tcf(c_326984,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,np__0),k2_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_492,c_34474]) ).
tcf(c_326985,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X1,np__0)),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X1,X2))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(np__0,k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_492,c_324823]) ).
tcf(c_326986,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X1,np__0)),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X1,X2))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_492,c_324474]) ).
tcf(c_326987,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X2,np__0)),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X2,X1))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_492,c_323943]) ).
tcf(c_326988,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(X2,np__0)),X0)
| r1_tarski(X0,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X2,X1))))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_492,c_323865]) ).
tcf(c_326989,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(X1,np__0)),X0)
| r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X1,X2))))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_492,c_323866]) ).
tcf(c_326993,plain,
! [X0: $i,X1: $i] : r1_tarski(X0,k2_xboole_0(X1,X0)),
inference(light_normalisation,[status(thm)],[c_326984,c_825]) ).
tcf(c_326995,plain,
! [X0: $i,X1: $i] : r1_tarski(X0,k2_xboole_0(np__0,k2_xboole_0(X0,X1))),
inference(light_normalisation,[status(thm)],[c_326977,c_825]) ).
tcf(c_326996,plain,
! [X0: $i,X1: $i] : r1_tarski(k5_finsub_1(np__0),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(k2_xboole_0(X0,X1))))),
inference(light_normalisation,[status(thm)],[c_326981,c_30123]) ).
tcf(c_327040,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k2_xboole_0(k2_tarski(X0,X0),X1)),
inference(superposition,[status(thm)],[c_524,c_233]) ).
tcf(c_327041,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k2_xboole_0(X1,X0)) = np__0,
inference(superposition,[status(thm)],[c_524,c_492]) ).
tcf(c_327043,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(X0,X1),X1),
inference(superposition,[status(thm)],[c_524,c_326291]) ).
tcf(c_327047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| m1_subset_1(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_524,c_323866]) ).
tcf(c_327049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_524,c_323943]) ).
tcf(c_327050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| m1_subset_1(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_524,c_323865]) ).
tcf(c_327052,plain,
! [X0: $i] : k2_xboole_0(np__0,X0) = X0,
inference(superposition,[status(thm)],[c_524,c_522]) ).
tcf(c_327053,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(X0,X1),k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_524,c_326816]) ).
tcf(c_327054,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(X0,np__0),X0),
inference(superposition,[status(thm)],[c_524,c_326819]) ).
tcf(c_327055,plain,
! [X0: $i] : ~ r2_hidden(k2_xboole_0(X0,np__0),X0),
inference(superposition,[status(thm)],[c_524,c_326309]) ).
tcf(c_327056,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| r1_tarski(sK25(k5_finsub_1(X0),X1),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,np__0)) ),
inference(superposition,[status(thm)],[c_524,c_326948]) ).
tcf(c_327057,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,np__0))),X1),
inference(superposition,[status(thm)],[c_524,c_324342]) ).
tcf(c_327058,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k2_xboole_0(X1,np__0)),
inference(superposition,[status(thm)],[c_524,c_324339]) ).
tcf(c_327059,plain,
! [X0: $i] : m1_subset_1(np__0,k2_xboole_0(k5_finsub_1(np__0),X0)),
inference(superposition,[status(thm)],[c_524,c_325920]) ).
tcf(c_327060,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(k5_finsub_1(np__0),X0)),
inference(superposition,[status(thm)],[c_524,c_325919]) ).
tcf(c_327061,plain,
! [X0: $i] : r2_hidden(np__0,k2_xboole_0(k5_finsub_1(np__0),X0)),
inference(superposition,[status(thm)],[c_524,c_325404]) ).
tcf(c_327062,plain,
! [X0: $i] : m1_subset_1(np__1,k2_xboole_0(k2_finseq_1(np__1),X0)),
inference(superposition,[status(thm)],[c_524,c_325948]) ).
tcf(c_327063,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(k2_finseq_1(np__1),X0)),
inference(superposition,[status(thm)],[c_524,c_325947]) ).
tcf(c_327064,plain,
! [X0: $i] : r2_hidden(np__1,k2_xboole_0(k2_finseq_1(np__1),X0)),
inference(superposition,[status(thm)],[c_524,c_325617]) ).
tcf(c_327065,plain,
! [X0: $i] : ~ v1_xreal_0(k2_xboole_0(X0,k1_numbers)),
inference(superposition,[status(thm)],[c_524,c_326356]) ).
tcf(c_327093,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK118(X0)) ),
inference(superposition,[status(thm)],[c_558,c_196]) ).
tcf(c_327096,plain,
! [X0: $i] :
( m1_subset_1(sK118(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_558,c_186]) ).
tcf(c_327097,plain,
! [X0: $i] :
( r1_tarski(sK118(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_558,c_94]) ).
tcf(c_327099,plain,
( v1_xreal_0(sK118(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_558,c_1783]) ).
tcf(c_327114,plain,
! [X0: $i] :
( sP0(X0)
| v1_relat_1(X0)
| ~ r2_hidden(X0,sK124(X0)) ),
inference(superposition,[status(thm)],[c_567,c_196]) ).
tcf(c_327117,plain,
! [X0: $i] :
( sP0(X0)
| v1_relat_1(X0)
| m1_subset_1(sK124(X0),X0) ),
inference(superposition,[status(thm)],[c_567,c_186]) ).
tcf(c_327118,plain,
! [X0: $i] :
( sP0(k1_zfmisc_1(X0))
| v1_relat_1(k1_zfmisc_1(X0))
| r1_tarski(sK124(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_567,c_94]) ).
tcf(c_327120,plain,
( sP0(k1_numbers)
| v1_relat_1(k1_numbers)
| v1_xreal_0(sK124(k1_numbers)) ),
inference(superposition,[status(thm)],[c_567,c_1783]) ).
tcf(c_327138,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| m1_subset_1(sK25(X0,X2),X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_326993,c_97752]) ).
tcf(c_327139,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)),k1_zfmisc_1(k4_xboole_0(X0,X1))),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_326993,c_323864]) ).
tcf(c_327152,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ r2_hidden(X0,sK47(X0)) ),
inference(superposition,[status(thm)],[c_326635,c_196]) ).
tcf(c_327155,plain,
! [X0: $i] :
( v5_membered(X0)
| m1_subset_1(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_326635,c_186]) ).
tcf(c_327156,plain,
! [X0: $i] :
( v5_membered(k1_zfmisc_1(X0))
| r1_tarski(sK47(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_326635,c_94]) ).
tcf(c_327165,plain,
~ r2_hidden(k5_finsub_1(np__0),sK47(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_326638,c_196]) ).
tcf(c_327168,plain,
m1_subset_1(sK47(k5_finsub_1(np__0)),k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_326638,c_186]) ).
tcf(c_327169,plain,
~ r2_hidden(k2_finseq_1(np__1),sK47(k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_326640,c_196]) ).
tcf(c_327172,plain,
m1_subset_1(sK47(k2_finseq_1(np__1)),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_326640,c_186]) ).
tcf(c_327173,plain,
~ r2_hidden(k2_finseq_1(np__2),sK47(k2_finseq_1(np__2))),
inference(superposition,[status(thm)],[c_326642,c_196]) ).
tcf(c_327176,plain,
m1_subset_1(sK47(k2_finseq_1(np__2)),k2_finseq_1(np__2)),
inference(superposition,[status(thm)],[c_326642,c_186]) ).
tcf(c_327177,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k2_tarski(k1_zfmisc_1(X0),X1),X0),
inference(superposition,[status(thm)],[c_93,c_326674]) ).
tcf(c_327178,plain,
! [X0: $i] : ~ v1_xreal_0(k2_tarski(k1_numbers,X0)),
inference(superposition,[status(thm)],[c_1784,c_326674]) ).
tcf(c_327182,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k2_tarski(X0,k1_zfmisc_1(X1)),X1),
inference(superposition,[status(thm)],[c_93,c_326675]) ).
tcf(c_327183,plain,
! [X0: $i] : ~ v1_xreal_0(k2_tarski(X0,k1_numbers)),
inference(superposition,[status(thm)],[c_1784,c_326675]) ).
tcf(c_327188,plain,
v1_membered(k4_xboole_0(np__0,np__0)),
inference(superposition,[status(thm)],[c_824,c_326723]) ).
tcf(c_327189,plain,
v1_membered(k4_xboole_0(k1_numbers,np__0)),
inference(superposition,[status(thm)],[c_30376,c_326723]) ).
tcf(c_327198,plain,
! [X0: $i] :
( sP0(X0)
| v1_funct_1(X0)
| ~ r2_hidden(X0,sK124(X0)) ),
inference(superposition,[status(thm)],[c_569,c_196]) ).
tcf(c_327199,plain,
! [X0: $i] :
( sP0(X0)
| v1_funct_1(X0)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_569,c_192]) ).
tcf(c_327201,plain,
! [X0: $i] :
( sP0(X0)
| v1_funct_1(X0)
| m1_subset_1(sK124(X0),X0) ),
inference(superposition,[status(thm)],[c_569,c_186]) ).
tcf(c_327202,plain,
! [X0: $i] :
( sP0(k1_zfmisc_1(X0))
| v1_funct_1(k1_zfmisc_1(X0))
| r1_tarski(sK124(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_569,c_94]) ).
tcf(c_327204,plain,
( sP0(k1_numbers)
| v1_funct_1(k1_numbers)
| v1_xreal_0(sK124(k1_numbers)) ),
inference(superposition,[status(thm)],[c_569,c_1783]) ).
tcf(c_327251,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| v1_finset_1(sK47(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_326899,c_860]) ).
tcf(c_327252,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| r1_tarski(sK47(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_326899,c_93114]) ).
tcf(c_327253,plain,
( v1_realset1(k5_numbers)
| ~ v3_xreal_0(sK47(k5_numbers)) ),
inference(superposition,[status(thm)],[c_326899,c_2186]) ).
tcf(c_327254,plain,
( v1_realset1(k5_numbers)
| v1_int_1(sK47(k5_numbers)) ),
inference(superposition,[status(thm)],[c_326899,c_2187]) ).
tcf(c_327255,plain,
( v1_realset1(k5_numbers)
| v1_xreal_0(sK47(k5_numbers)) ),
inference(superposition,[status(thm)],[c_326899,c_2185]) ).
tcf(c_327256,plain,
( v1_realset1(k5_numbers)
| v1_xcmplx_0(sK47(k5_numbers)) ),
inference(superposition,[status(thm)],[c_326899,c_2184]) ).
tcf(c_327257,plain,
( v1_realset1(k5_numbers)
| v4_ordinal2(sK47(k5_numbers)) ),
inference(superposition,[status(thm)],[c_326899,c_2183]) ).
tcf(c_327258,plain,
( v1_realset1(k5_numbers)
| v1_finset_1(sK47(k5_numbers)) ),
inference(superposition,[status(thm)],[c_326899,c_2174]) ).
tcf(c_327259,plain,
( v1_realset1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK47(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_326899,c_2499]) ).
tcf(c_327260,plain,
( v1_realset1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK47(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_326899,c_2498]) ).
tcf(c_327281,plain,
v1_int_1(sK47(k5_numbers)),
inference(global_subsumption_just,[status(thm)],[c_327254,c_231097]) ).
tcf(c_327283,plain,
v1_xreal_0(sK47(k5_numbers)),
inference(superposition,[status(thm)],[c_327281,c_1075]) ).
tcf(c_327284,plain,
v1_xcmplx_0(sK47(k5_numbers)),
inference(superposition,[status(thm)],[c_327281,c_1074]) ).
tcf(c_327286,plain,
v4_ordinal2(sK47(k5_numbers)),
inference(global_subsumption_just,[status(thm)],[c_327257,c_231102]) ).
tcf(c_327290,plain,
v1_finset_1(sK47(k5_numbers)),
inference(global_subsumption_just,[status(thm)],[c_327258,c_231106]) ).
tcf(c_327297,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| v1_finset_1(sK47(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_326921,c_860]) ).
tcf(c_327298,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| r1_tarski(sK47(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_326921,c_93114]) ).
tcf(c_327299,plain,
( v1_relat_1(k5_numbers)
| ~ v3_xreal_0(sK47(k5_numbers)) ),
inference(superposition,[status(thm)],[c_326921,c_2186]) ).
tcf(c_327305,plain,
( v1_relat_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK47(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_326921,c_2499]) ).
tcf(c_327306,plain,
( v1_relat_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK47(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_326921,c_2498]) ).
tcf(c_327317,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| r1_tarski(sK25(k5_finsub_1(X0),k2_xboole_0(X2,X1)),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(demodulation,[status(thm)],[c_324907,c_504,c_825,c_30376]) ).
tcf(c_327328,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,np__0))
| r1_tarski(sK25(k5_finsub_1(X0),X1),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(np__0,X1)) ),
inference(superposition,[status(thm)],[c_522,c_327317]) ).
tcf(c_327330,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| r1_tarski(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_524,c_327317]) ).
tcf(c_327331,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| ~ r2_hidden(X0,sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_327317,c_69]) ).
tcf(c_327332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| r1_tarski(X3,sK25(k5_finsub_1(X0),k2_xboole_0(X2,X1)))
| m1_subset_1(sK25(X3,sK25(k5_finsub_1(X0),k2_xboole_0(X2,X1))),X3)
| ~ r1_tarski(X3,X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_327317,c_97752]) ).
tcf(c_327333,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X1,X0))
| ( sK25(k5_finsub_1(np__0),k2_xboole_0(X1,X0)) = np__0 )
| ~ r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_327317,c_95]) ).
tcf(c_327334,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(k1_numbers),k2_xboole_0(X1,X0))
| v1_membered(sK25(k5_finsub_1(k1_numbers),k2_xboole_0(X1,X0)))
| ~ r1_tarski(k5_finsub_1(k1_numbers),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_327317,c_326348]) ).
tcf(c_327335,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(k1_numbers),k2_xboole_0(X1,X0))
| v2_membered(sK25(k5_finsub_1(k1_numbers),k2_xboole_0(X1,X0)))
| ~ r1_tarski(k5_finsub_1(k1_numbers),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_327317,c_326347]) ).
tcf(c_327336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X3,X2))
| r1_tarski(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X3,X2)),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X3,X2)),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X3,X2)))
| ~ r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_327317,c_323864]) ).
tcf(c_327385,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| v1_finset_1(sK47(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_326938,c_860]) ).
tcf(c_327386,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| r1_tarski(sK47(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_326938,c_93114]) ).
tcf(c_327393,plain,
( v1_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK47(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_326938,c_2499]) ).
tcf(c_327394,plain,
( v1_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK47(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_326938,c_2498]) ).
tcf(c_327403,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k2_xboole_0(X0,k1_zfmisc_1(X1)),X1),
inference(superposition,[status(thm)],[c_93,c_327043]) ).
tcf(c_327415,plain,
! [X0: $i] : r1_tarski(X0,k2_xboole_0(X0,np__0)),
inference(superposition,[status(thm)],[c_327052,c_326816]) ).
tcf(c_327420,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(np__0,X1))))
| m1_subset_1(sK25(X0,k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(X0,k2_xboole_0(np__0,X1)) ),
inference(superposition,[status(thm)],[c_327052,c_323866]) ).
tcf(c_327422,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(np__0,X1))
| r1_tarski(sK25(k5_finsub_1(X0),X1),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,np__0)) ),
inference(superposition,[status(thm)],[c_327052,c_327317]) ).
tcf(c_327423,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(np__0,X1))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,np__0)) ),
inference(superposition,[status(thm)],[c_327052,c_323943]) ).
tcf(c_327424,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(np__0,X1))))
| m1_subset_1(sK25(X0,k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,np__0)) ),
inference(superposition,[status(thm)],[c_327052,c_323865]) ).
tcf(c_327461,plain,
! [X0: $i] : ~ r2_hidden(k2_xboole_0(k5_finsub_1(np__0),X0),np__0),
inference(superposition,[status(thm)],[c_327061,c_196]) ).
tcf(c_327462,plain,
! [X0: $i] : r2_hidden(sK47(k2_xboole_0(k5_finsub_1(np__0),X0)),k2_xboole_0(k5_finsub_1(np__0),X0)),
inference(superposition,[status(thm)],[c_327061,c_192]) ).
tcf(c_327477,plain,
! [X0: $i] : ~ r2_hidden(k2_xboole_0(k2_finseq_1(np__1),X0),np__1),
inference(superposition,[status(thm)],[c_327064,c_196]) ).
tcf(c_327478,plain,
! [X0: $i] : r2_hidden(sK47(k2_xboole_0(k2_finseq_1(np__1),X0)),k2_xboole_0(k2_finseq_1(np__1),X0)),
inference(superposition,[status(thm)],[c_327064,c_192]) ).
tcf(c_327486,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| v1_finset_1(sK47(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_327155,c_860]) ).
tcf(c_327487,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| r1_tarski(sK47(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_327155,c_93114]) ).
tcf(c_327494,plain,
( v5_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK47(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_327155,c_2499]) ).
tcf(c_327495,plain,
( v5_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK47(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_327155,c_2498]) ).
tcf(c_327504,plain,
v1_finset_1(sK47(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_327168,c_860]) ).
tcf(c_327505,plain,
r1_tarski(sK47(k5_finsub_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_327168,c_93114]) ).
tcf(c_327509,plain,
! [X0: $i] : ~ r2_hidden(np__0,k4_xboole_0(X0,k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_919,c_806]) ).
tcf(c_327510,plain,
! [X0: $i] : ~ r2_hidden(np__1,k4_xboole_0(X0,k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_1820,c_806]) ).
tcf(c_327515,plain,
! [X0: $i] :
( v1_finset_1(sK204(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_834,c_849]) ).
tcf(c_327530,plain,
( sP7(sK293)
| ~ sP8(sK293) ),
inference(superposition,[status(thm)],[c_1367,c_1223]) ).
tcf(c_327531,plain,
( sP7(np__0)
| ~ sP8(np__0) ),
inference(superposition,[status(thm)],[c_324219,c_1223]) ).
tcf(c_327532,plain,
! [X0: $i] :
( sP7(k1_relat_1(X0))
| ~ v1_xboole_0(X0)
| ~ sP8(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_324288,c_1223]) ).
tcf(c_327533,plain,
! [X0: $i] :
( sP7(k2_relat_1(X0))
| ~ v1_xboole_0(X0)
| ~ sP8(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_324373,c_1223]) ).
tcf(c_327544,plain,
~ r2_hidden(np__0,sK47(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_327505,c_69]) ).
tcf(c_327545,plain,
! [X0: $i] :
( r1_tarski(X0,sK47(k5_finsub_1(np__0)))
| m1_subset_1(sK25(X0,sK47(k5_finsub_1(np__0))),X0)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_327505,c_97752]) ).
tcf(c_327546,plain,
sK47(k5_finsub_1(np__0)) = np__0,
inference(superposition,[status(thm)],[c_327505,c_95]) ).
tcf(c_327554,plain,
sP7(sK293),
inference(global_subsumption_just,[status(thm)],[c_327530,c_227292]) ).
tcf(c_327557,plain,
sP7(np__0),
inference(global_subsumption_just,[status(thm)],[c_327531,c_2205,c_2204,c_2538,c_2699,c_2702,c_2814]) ).
tcf(c_327560,plain,
~ v3_xreal_0(sK47(k5_numbers)),
inference(global_subsumption_just,[status(thm)],[c_327253,c_169,c_229445,c_229791,c_240590]) ).
tcf(c_327567,plain,
( v5_membered(k5_finsub_1(np__0))
| m1_subset_1(np__0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_327546,c_327155]) ).
tcf(c_327569,plain,
( v1_relat_1(k5_finsub_1(np__0))
| m1_subset_1(np__0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_327546,c_326921]) ).
tcf(c_327626,plain,
( sP8(np__0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_2205,c_1234]) ).
tcf(c_327627,plain,
! [X0: $i] :
( sP8(sK39(X0))
| ( X0 = np__0 )
| ~ v1_relat_1(sK39(X0)) ),
inference(superposition,[status(thm)],[c_150,c_1234]) ).
tcf(c_327628,plain,
! [X0: $i] :
( sP8(sK38(X0))
| ( X0 = np__0 )
| ~ v1_relat_1(sK38(X0)) ),
inference(superposition,[status(thm)],[c_152,c_1234]) ).
tcf(c_327629,plain,
( sP8(sK44)
| ~ v1_relat_1(sK44) ),
inference(superposition,[status(thm)],[c_175,c_1234]) ).
tcf(c_327630,plain,
! [X0: $i,X1: $i] :
( sP8(sK58(X0,X1))
| ( X0 = np__0 )
| ~ v1_relat_1(sK58(X0,X1)) ),
inference(superposition,[status(thm)],[c_245,c_1234]) ).
tcf(c_327631,plain,
! [X0: $i,X1: $i] :
( sP8(sK89(X0,X1))
| ( X0 = np__0 )
| ~ v1_relat_1(sK89(X0,X1)) ),
inference(superposition,[status(thm)],[c_408,c_1234]) ).
tcf(c_327632,plain,
! [X0: $i] :
( sP8(sK89(X0,np__0))
| ~ v1_relat_1(sK89(X0,np__0)) ),
inference(superposition,[status(thm)],[c_412,c_1234]) ).
tcf(c_327633,plain,
! [X0: $i] :
( sP8(u1_group_1(X0))
| ~ l1_group_1(X0)
| ~ v1_relat_1(u1_group_1(X0)) ),
inference(superposition,[status(thm)],[c_674,c_1234]) ).
tcf(c_327634,plain,
! [X0: $i,X1: $i] :
( sP8(sK201(X0,X1))
| ~ m1_subset_1(X1,X0)
| ~ v1_relat_1(sK201(X0,X1)) ),
inference(superposition,[status(thm)],[c_782,c_1234]) ).
tcf(c_327635,plain,
( sP8(sK205)
| ~ v1_relat_1(sK205) ),
inference(superposition,[status(thm)],[c_842,c_1234]) ).
tcf(c_327636,plain,
! [X0: $i] :
( sP8(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v1_relat_1(u2_lattices(X0)) ),
inference(superposition,[status(thm)],[c_973,c_1234]) ).
tcf(c_327637,plain,
! [X0: $i,X1: $i] :
( sP8(sK237(X0,X1))
| ~ v1_relat_1(sK237(X0,X1)) ),
inference(superposition,[status(thm)],[c_1054,c_1234]) ).
tcf(c_327638,plain,
! [X0: $i,X1: $i] :
( sP8(sK238(X0,X1))
| ~ v1_relat_1(sK238(X0,X1)) ),
inference(superposition,[status(thm)],[c_1058,c_1234]) ).
tcf(c_327641,plain,
( sP8(sK293)
| ~ v1_relat_1(sK293) ),
inference(superposition,[status(thm)],[c_1366,c_1234]) ).
tcf(c_327642,plain,
! [X0: $i] :
( sP8(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v1_relat_1(u1_lattices(X0)) ),
inference(superposition,[status(thm)],[c_1518,c_1234]) ).
tcf(c_327643,plain,
! [X0: $i] :
( sP8(sK412(X0))
| ~ v1_finset_1(X0)
| ~ v1_relat_1(sK412(X0)) ),
inference(superposition,[status(thm)],[c_2197,c_1234]) ).
tcf(c_327644,plain,
( sP8(sK413)
| ~ v1_relat_1(sK413) ),
inference(superposition,[status(thm)],[c_2209,c_1234]) ).
tcf(c_327645,plain,
! [X0: $i] :
( sP8(sK414(X0))
| ~ v1_relat_1(sK414(X0)) ),
inference(superposition,[status(thm)],[c_2214,c_1234]) ).
tcf(c_327646,plain,
( sP8(sK415)
| ~ v1_relat_1(sK415) ),
inference(superposition,[status(thm)],[c_2219,c_1234]) ).
tcf(c_327647,plain,
( sP8(u1_rlvect_1(sK362))
| ~ v1_relat_1(u1_rlvect_1(sK362)) ),
inference(superposition,[status(thm)],[c_78792,c_1234]) ).
tcf(c_327648,plain,
! [X0: $i] :
( sP8(k1_relat_1(X0))
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_324291,c_1234]) ).
tcf(c_327649,plain,
! [X0: $i] :
( sP8(k2_relat_1(X0))
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_324376,c_1234]) ).
tcf(c_327650,plain,
sP8(sK415),
inference(forward_subsumption_resolution,[status(thm)],[c_327646,c_2218]) ).
tcf(c_327651,plain,
sP8(sK413),
inference(forward_subsumption_resolution,[status(thm)],[c_327644,c_2208]) ).
tcf(c_327652,plain,
sP8(sK293),
inference(forward_subsumption_resolution,[status(thm)],[c_327641,c_1365]) ).
tcf(c_327653,plain,
sP8(sK205),
inference(forward_subsumption_resolution,[status(thm)],[c_327635,c_841]) ).
tcf(c_327654,plain,
sP8(sK44),
inference(forward_subsumption_resolution,[status(thm)],[c_327629,c_174]) ).
tcf(c_327655,plain,
sP8(np__0),
inference(forward_subsumption_resolution,[status(thm)],[c_327626,c_2204]) ).
tcf(c_327658,plain,
! [X0: $i] : sP8(sK414(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_327645,c_2213]) ).
tcf(c_327665,plain,
! [X0: $i,X1: $i] : sP8(sK238(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_327638,c_1057]) ).
tcf(c_327666,plain,
! [X0: $i,X1: $i] : sP8(sK237(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_327637,c_1053]) ).
tcf(c_327667,plain,
! [X0: $i] : sP8(sK89(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_327632,c_411]) ).
tcf(c_327753,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_tarski(sK26(k5_finsub_1(np__0),X0,X1),np__0)
| ~ r1_tarski(X1,k1_zfmisc_1(np__0))
| ~ r1_tarski(X0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_30123,c_326381]) ).
tcf(c_327754,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ~ r1_tarski(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(X0,sK26(k1_zfmisc_1(X0),X1,X2)) ),
inference(superposition,[status(thm)],[c_326381,c_69]) ).
tcf(c_327755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X0)
| r1_tarski(X3,sK26(k1_zfmisc_1(X1),X2,X0))
| m1_subset_1(sK25(X3,sK26(k1_zfmisc_1(X1),X2,X0)),X3)
| ~ r1_tarski(X3,X1)
| ~ r1_tarski(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_326381,c_97752]) ).
tcf(c_327756,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| ( sK26(k1_zfmisc_1(np__0),X1,X0) = np__0 )
| ~ r1_tarski(X1,k1_zfmisc_1(np__0))
| ~ r1_tarski(X0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_326381,c_95]) ).
tcf(c_327759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X0)
| r1_tarski(sK26(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2)))),X3,X0),k1_zfmisc_1(k4_xboole_0(X1,X2)))
| m1_subset_1(sK25(sK26(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2)))),X3,X0),k1_zfmisc_1(k4_xboole_0(X1,X2))),sK26(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2)))),X3,X0))
| ~ r1_tarski(X3,k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2)))))
| ~ r1_tarski(X0,k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2))))) ),
inference(superposition,[status(thm)],[c_326381,c_323864]) ).
tcf(c_327760,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_tarski(sK26(k5_finsub_1(np__0),X0,X1),np__0)
| ~ r1_tarski(X1,k5_finsub_1(np__0))
| ~ r1_tarski(X0,k5_finsub_1(np__0)) ),
inference(light_normalisation,[status(thm)],[c_327753,c_30123]) ).
tcf(c_327820,plain,
~ iPr_def_28,
inference(global_subsumption_just,[status(thm)],[c_170001,c_227427]) ).
tcf(c_327822,plain,
( iPr_def_29
| ~ sP15(sK362)
| v3_struct_0(sK362) ),
inference(global_subsumption_just,[status(thm)],[c_170003,c_170003,c_227427]) ).
tcf(c_327823,plain,
( iPr_def_29
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(renaming,[status(thm)],[c_327822]) ).
tcf(c_327830,plain,
( iPr_def_30
| ~ sP15(sK362)
| v3_struct_0(sK362) ),
inference(global_subsumption_just,[status(thm)],[c_170005,c_170005,c_227427]) ).
tcf(c_327831,plain,
( iPr_def_30
| v3_struct_0(sK362)
| ~ sP15(sK362) ),
inference(renaming,[status(thm)],[c_327830]) ).
tcf(c_327838,plain,
v1_finset_1(sK25(k5_numbers,np__0)),
inference(global_subsumption_just,[status(thm)],[c_324667,c_2517,c_240622,c_250867,c_270512]) ).
tcf(c_327840,plain,
v4_ordinal2(sK25(k5_numbers,np__0)),
inference(global_subsumption_just,[status(thm)],[c_324695,c_169,c_2517,c_229445,c_240590,c_250867,c_270661]) ).
tcf(c_327842,plain,
v1_xreal_0(sK25(k5_numbers,np__0)),
inference(superposition,[status(thm)],[c_327840,c_2056]) ).
tcf(c_327843,plain,
v1_int_1(sK25(k5_numbers,np__0)),
inference(superposition,[status(thm)],[c_327840,c_2055]) ).
tcf(c_327844,plain,
v1_xcmplx_0(sK25(k5_numbers,np__0)),
inference(superposition,[status(thm)],[c_327842,c_1811]) ).
tcf(c_327853,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),np__0)
| ~ r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_30123,c_326382]) ).
tcf(c_327854,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),np__0),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(np__0,k4_xboole_0(np__0,k2_xboole_0(X2,X1))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_824,c_326382]) ).
tcf(c_327855,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X2,np__0)),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X2,X1))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_492,c_326382]) ).
tcf(c_327856,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(np__0,np__0)),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(np__0,k4_xboole_0(np__0,k2_xboole_0(X2,X1))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_824,c_326382]) ).
tcf(c_327857,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(k2_xboole_0(X2,X1),np__0)),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(k2_xboole_0(X2,X1),k4_xboole_0(k2_xboole_0(X2,X1),k2_xboole_0(X2,X1))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_30376,c_326382]) ).
tcf(c_327859,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,np__0))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(np__0,X1)) ),
inference(superposition,[status(thm)],[c_522,c_326382]) ).
tcf(c_327860,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X1))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X1)) ),
inference(superposition,[status(thm)],[c_523,c_326382]) ).
tcf(c_327861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_524,c_326382]) ).
tcf(c_327862,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(np__0,X1))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,np__0)) ),
inference(superposition,[status(thm)],[c_327052,c_326382]) ).
tcf(c_327863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X3,X2))
| ~ r2_hidden(X0,sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3))))) ),
inference(superposition,[status(thm)],[c_326382,c_69]) ).
tcf(c_327864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X1))))
| r1_tarski(X3,sK25(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X1)))))
| m1_subset_1(sK25(X3,sK25(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X1))))),X3)
| ~ r1_tarski(X3,X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_326382,c_97752]) ).
tcf(c_327865,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| ( sK25(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))) = np__0 )
| ~ r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_326382,c_95]) ).
tcf(c_327868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_tarski(sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))))
| ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_326382,c_323864]) ).
tcf(c_327890,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),np__0)
| ~ r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_327853,c_30123]) ).
tcf(c_327928,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k2_xboole_0(k2_tarski(X0,X0),X1)),
inference(superposition,[status(thm)],[c_524,c_325190]) ).
tcf(c_327929,plain,
! [X0: $i] : ~ v1_xboole_0(k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_327052,c_325190]) ).
tcf(c_327934,plain,
! [X0: $i,X1: $i] : m1_subset_1(X0,k2_xboole_0(k2_tarski(X0,X0),X1)),
inference(superposition,[status(thm)],[c_524,c_325191]) ).
tcf(c_327935,plain,
! [X0: $i] : m1_subset_1(X0,k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_327052,c_325191]) ).
tcf(c_327963,plain,
! [X0: $i] :
( v1_membered(k3_tarski(k5_finsub_1(X0)))
| v1_finset_1(sK441(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_325985,c_860]) ).
tcf(c_327964,plain,
! [X0: $i] :
( v1_membered(k3_tarski(k5_finsub_1(X0)))
| r1_tarski(sK441(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_325985,c_93114]) ).
tcf(c_327965,plain,
( v1_membered(k3_tarski(k5_numbers))
| ~ v3_xreal_0(sK441(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325985,c_2186]) ).
tcf(c_327966,plain,
( v1_membered(k3_tarski(k5_numbers))
| v1_int_1(sK441(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325985,c_2187]) ).
tcf(c_327967,plain,
( v1_membered(k3_tarski(k5_numbers))
| v1_xreal_0(sK441(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325985,c_2185]) ).
tcf(c_327968,plain,
( v1_membered(k3_tarski(k5_numbers))
| v1_xcmplx_0(sK441(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325985,c_2184]) ).
tcf(c_327969,plain,
( v1_membered(k3_tarski(k5_numbers))
| v4_ordinal2(sK441(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325985,c_2183]) ).
tcf(c_327970,plain,
( v1_membered(k3_tarski(k5_numbers))
| v1_finset_1(sK441(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325985,c_2174]) ).
tcf(c_327971,plain,
( v2_membered(sK441(k1_zfmisc_1(k1_numbers)))
| v1_membered(k3_tarski(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_325985,c_2499]) ).
tcf(c_327972,plain,
( v1_membered(sK441(k1_zfmisc_1(k1_numbers)))
| v1_membered(k3_tarski(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_325985,c_2498]) ).
tcf(c_328013,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),np__0)
| ~ r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_30123,c_326383]) ).
tcf(c_328014,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),np__0),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(np__0,k4_xboole_0(np__0,k2_xboole_0(X1,X2))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_824,c_326383]) ).
tcf(c_328015,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,np__0)),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X1,X2))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_492,c_326383]) ).
tcf(c_328016,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(np__0,np__0)),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(np__0,k4_xboole_0(np__0,k2_xboole_0(X1,X2))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_824,c_326383]) ).
tcf(c_328017,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(k2_xboole_0(X1,X2),np__0)),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(k2_xboole_0(X1,X2),k4_xboole_0(k2_xboole_0(X1,X2),k2_xboole_0(X1,X2))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_30376,c_326383]) ).
tcf(c_328019,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,np__0))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,np__0)) ),
inference(superposition,[status(thm)],[c_522,c_326383]) ).
tcf(c_328021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_524,c_326383]) ).
tcf(c_328022,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(np__0,X1))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(np__0,X1)) ),
inference(superposition,[status(thm)],[c_327052,c_326383]) ).
tcf(c_328023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,X3))
| ~ r2_hidden(X0,sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3))))) ),
inference(superposition,[status(thm)],[c_326383,c_69]) ).
tcf(c_328024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X1,X2))))
| r1_tarski(X3,sK25(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X1,X2)))))
| m1_subset_1(sK25(X3,sK25(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X1,X2))))),X3)
| ~ r1_tarski(X3,X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_326383,c_97752]) ).
tcf(c_328025,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| ( sK25(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))) = np__0 )
| ~ r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_326383,c_95]) ).
tcf(c_328028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3))))
| r1_tarski(sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))))
| ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_326383,c_323864]) ).
tcf(c_328047,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),np__0)
| ~ r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_328013,c_30123]) ).
tcf(c_328051,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| ( sK25(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))) = np__0 )
| ~ r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_328025,c_30123]) ).
tcf(c_328139,plain,
! [X0: $i] : r1_tarski(sK25(k1_zfmisc_1(X0),np__0),X0),
inference(global_subsumption_just,[status(thm)],[c_326384,c_231540,c_242889]) ).
tcf(c_328141,plain,
r1_tarski(sK25(k5_finsub_1(np__0),np__0),np__0),
inference(superposition,[status(thm)],[c_30123,c_328139]) ).
tcf(c_328142,plain,
! [X0: $i] : ~ r2_hidden(X0,sK25(k1_zfmisc_1(X0),np__0)),
inference(superposition,[status(thm)],[c_328139,c_69]) ).
tcf(c_328143,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK25(k1_zfmisc_1(X1),np__0))
| m1_subset_1(sK25(X0,sK25(k1_zfmisc_1(X1),np__0)),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_328139,c_97752]) ).
tcf(c_328144,plain,
sK25(k1_zfmisc_1(np__0),np__0) = np__0,
inference(superposition,[status(thm)],[c_328139,c_95]) ).
tcf(c_328145,plain,
v1_membered(sK25(k1_zfmisc_1(k1_numbers),np__0)),
inference(superposition,[status(thm)],[c_328139,c_326348]) ).
tcf(c_328146,plain,
v2_membered(sK25(k1_zfmisc_1(k1_numbers),np__0)),
inference(superposition,[status(thm)],[c_328139,c_326347]) ).
tcf(c_328147,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),np__0),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),np__0),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),np__0)) ),
inference(superposition,[status(thm)],[c_328139,c_323864]) ).
tcf(c_328148,plain,
sK25(k5_finsub_1(np__0),np__0) = np__0,
inference(light_normalisation,[status(thm)],[c_328144,c_30123]) ).
tcf(c_328190,plain,
~ r2_hidden(k5_finsub_1(np__0),k2_tarski(np__0,np__0)),
inference(superposition,[status(thm)],[c_30123,c_326289]) ).
tcf(c_328191,plain,
~ r2_hidden(k1_zfmisc_1(np__0),k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_919,c_326289]) ).
tcf(c_328217,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r1_tarski(k1_zfmisc_1(np__0),sK26(k5_finsub_1(X1),X0,X2))
| r1_tarski(sK25(k5_finsub_1(np__0),sK26(k5_finsub_1(X1),X0,X2)),np__0)
| ~ r1_tarski(k1_zfmisc_1(np__0),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_30123,c_326385]) ).
tcf(c_328218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| r1_tarski(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X2,X3))
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r2_hidden(X0,sK25(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X2,X3))) ),
inference(superposition,[status(thm)],[c_326385,c_69]) ).
tcf(c_328219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| r1_tarski(X4,sK25(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2)))
| m1_subset_1(sK25(X4,sK25(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2))),X4)
| ~ r1_tarski(X4,X0)
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_326385,c_97752]) ).
tcf(c_328220,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r1_tarski(k1_zfmisc_1(np__0),sK26(k5_finsub_1(X1),X2,X0))
| ( sK25(k1_zfmisc_1(np__0),sK26(k5_finsub_1(X1),X2,X0)) = np__0 )
| ~ r1_tarski(k1_zfmisc_1(np__0),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_326385,c_95]) ).
tcf(c_328223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X4,X3)
| r1_tarski(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),sK26(k5_finsub_1(X2),X4,X3))
| r1_tarski(sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),sK26(k5_finsub_1(X2),X4,X3)),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),sK26(k5_finsub_1(X2),X4,X3)),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),sK26(k5_finsub_1(X2),X4,X3)))
| ~ r1_tarski(X4,k5_finsub_1(X2))
| ~ r1_tarski(X3,k5_finsub_1(X2))
| ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),X2) ),
inference(superposition,[status(thm)],[c_326385,c_323864]) ).
tcf(c_328224,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r1_tarski(k5_finsub_1(np__0),sK26(k5_finsub_1(X1),X0,X2))
| r1_tarski(sK25(k5_finsub_1(np__0),sK26(k5_finsub_1(X1),X0,X2)),np__0)
| ~ r1_tarski(k5_finsub_1(np__0),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(light_normalisation,[status(thm)],[c_328217,c_30123]) ).
tcf(c_328267,plain,
( m1_subset_1(np__0,k1_zfmisc_1(k5_numbers))
| ~ v4_ordinal2(np__0) ),
inference(superposition,[status(thm)],[c_1819,c_2009]) ).
tcf(c_328268,plain,
! [X0: $i] :
( r1_tarski(k2_finseq_1(X0),k5_numbers)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2009,c_72]) ).
tcf(c_328277,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK401(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2038,c_2056]) ).
tcf(c_328278,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_int_1(sK401(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2038,c_2055]) ).
tcf(c_328287,plain,
~ r2_hidden(k2_finseq_1(np__1),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_1820,c_326313]) ).
tcf(c_328292,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k2_xboole_0(k1_zfmisc_1(X0),X1)),
inference(superposition,[status(thm)],[c_326591,c_326441]) ).
tcf(c_328297,plain,
! [X0: $i] : ~ r1_tarski(k2_xboole_0(k5_finsub_1(np__0),X0),np__0),
inference(superposition,[status(thm)],[c_30123,c_326441]) ).
tcf(c_328301,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k2_xboole_0(X0,k1_zfmisc_1(X1))),
inference(superposition,[status(thm)],[c_524,c_328292]) ).
tcf(c_328324,plain,
! [X0: $i] :
( r1_tarski(k1_numbers,X0)
| v1_xcmplx_0(sK28(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_326595,c_1811]) ).
tcf(c_328327,plain,
v1_xreal_0(sK41(k1_numbers)),
inference(global_subsumption_just,[status(thm)],[c_326612,c_226034,c_243734,c_243915,c_247621]) ).
tcf(c_328329,plain,
v1_xcmplx_0(sK41(k1_numbers)),
inference(superposition,[status(thm)],[c_328327,c_1811]) ).
tcf(c_328335,plain,
r2_hidden(sK47(a_2_0_lopclset(sK23,sK24)),a_2_0_lopclset(sK23,sK24)),
inference(superposition,[status(thm)],[c_326624,c_50]) ).
tcf(c_328337,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r2_hidden(sK47(X2),X2)
| m1_subset_1(sK25(X0,X2),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_326624,c_97752]) ).
tcf(c_328340,plain,
! [X0: $i] :
( v2_membered(X0)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_326624,c_326347]) ).
tcf(c_328341,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK47(X0),X0)
| r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(X1,X2)))
| m1_subset_1(sK25(X0,k1_zfmisc_1(k4_xboole_0(X1,X2))),X0) ),
inference(superposition,[status(thm)],[c_326624,c_323864]) ).
tcf(c_328343,plain,
! [X0: $i] : r2_hidden(sK47(k1_zfmisc_1(X0)),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_326624,c_326440]) ).
tcf(c_328344,plain,
! [X0: $i,X1: $i] : r2_hidden(sK47(k2_xboole_0(k1_zfmisc_1(X0),X1)),k2_xboole_0(k1_zfmisc_1(X0),X1)),
inference(superposition,[status(thm)],[c_326624,c_326441]) ).
tcf(c_328345,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(X0,sK47(X0)) ),
inference(superposition,[status(thm)],[c_326624,c_196]) ).
tcf(c_328348,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| m1_subset_1(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_326624,c_186]) ).
tcf(c_328349,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| r1_tarski(sK47(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_326624,c_94]) ).
tcf(c_328371,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(np__0),X0)
| r1_tarski(sK28(k5_finsub_1(np__0),X0),np__0) ),
inference(superposition,[status(thm)],[c_30123,c_326593]) ).
tcf(c_328372,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r2_hidden(X0,sK28(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_326593,c_69]) ).
tcf(c_328373,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X1),X2)
| r1_tarski(X0,sK28(k1_zfmisc_1(X1),X2))
| m1_subset_1(sK25(X0,sK28(k1_zfmisc_1(X1),X2)),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_326593,c_97752]) ).
tcf(c_328374,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(np__0),X0)
| ( sK28(k1_zfmisc_1(np__0),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_326593,c_95]) ).
tcf(c_328375,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(k1_numbers),X0)
| v1_membered(sK28(k1_zfmisc_1(k1_numbers),X0)) ),
inference(superposition,[status(thm)],[c_326593,c_326348]) ).
tcf(c_328376,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(k1_numbers),X0)
| v2_membered(sK28(k1_zfmisc_1(k1_numbers),X0)) ),
inference(superposition,[status(thm)],[c_326593,c_326347]) ).
tcf(c_328377,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),X2)
| r1_tarski(sK28(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),X2),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK28(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),X2),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK28(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),X2)) ),
inference(superposition,[status(thm)],[c_326593,c_323864]) ).
tcf(c_328382,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| r1_tarski(sK28(k5_finsub_1(np__0),X0),np__0) ),
inference(light_normalisation,[status(thm)],[c_328371,c_30123]) ).
tcf(c_328385,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| ( sK28(k5_finsub_1(np__0),X0) = np__0 ) ),
inference(light_normalisation,[status(thm)],[c_328374,c_30123]) ).
tcf(c_328405,plain,
! [X0: $i] :
( v1_finset_1(sK403(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2059,c_849]) ).
tcf(c_328425,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ r2_hidden(X0,sK47(X0)) ),
inference(superposition,[status(thm)],[c_328340,c_196]) ).
tcf(c_328428,plain,
! [X0: $i] :
( v2_membered(X0)
| m1_subset_1(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_328340,c_186]) ).
tcf(c_328429,plain,
! [X0: $i] :
( v2_membered(k1_zfmisc_1(X0))
| r1_tarski(sK47(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_328340,c_94]) ).
tcf(c_328440,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),sK47(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_328343,c_196]) ).
tcf(c_328443,plain,
! [X0: $i] : m1_subset_1(sK47(k1_zfmisc_1(X0)),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_328343,c_186]) ).
tcf(c_328444,plain,
! [X0: $i] : r1_tarski(sK47(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_328343,c_94]) ).
tcf(c_328446,plain,
! [X0: $i] : ~ r2_hidden(X0,sK47(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_328444,c_69]) ).
tcf(c_328447,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK47(k1_zfmisc_1(X1)))
| m1_subset_1(sK25(X0,sK47(k1_zfmisc_1(X1))),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_328444,c_97752]) ).
tcf(c_328448,plain,
sK47(k1_zfmisc_1(np__0)) = np__0,
inference(superposition,[status(thm)],[c_328444,c_95]) ).
tcf(c_328449,plain,
v1_membered(sK47(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_328444,c_326348]) ).
tcf(c_328450,plain,
v2_membered(sK47(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_328444,c_326347]) ).
tcf(c_328451,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK47(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK47(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK47(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))))) ),
inference(superposition,[status(thm)],[c_328444,c_323864]) ).
tcf(c_328458,plain,
~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK47(a_2_0_lopclset(sK23,sK24))),
inference(superposition,[status(thm)],[c_328335,c_196]) ).
tcf(c_328461,plain,
m1_subset_1(sK47(a_2_0_lopclset(sK23,sK24)),a_2_0_lopclset(sK23,sK24)),
inference(superposition,[status(thm)],[c_328335,c_186]) ).
tcf(c_328473,plain,
! [X0: $i] :
( v2_membered(k5_finsub_1(X0))
| v1_finset_1(sK47(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_328428,c_860]) ).
tcf(c_328474,plain,
! [X0: $i] :
( v2_membered(k5_finsub_1(X0))
| r1_tarski(sK47(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_328428,c_93114]) ).
tcf(c_328493,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| r1_tarski(sK25(k5_finsub_1(X0),X1),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(demodulation,[status(thm)],[c_326985,c_492,c_825,c_327052]) ).
tcf(c_328506,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| r1_tarski(sK25(k5_finsub_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_326993,c_328493]) ).
tcf(c_328524,plain,
( r1_tarski(np__0,np__0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_2248,c_2269]) ).
tcf(c_328525,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X0,k7_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_2269,c_69]) ).
tcf(c_328526,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k7_relat_1(X1,X2))
| m1_subset_1(sK25(X0,k7_relat_1(X1,X2)),X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2269,c_97752]) ).
tcf(c_328528,plain,
! [X0: $i] :
( v1_membered(k7_relat_1(k1_numbers,X0))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_2269,c_326348]) ).
tcf(c_328529,plain,
! [X0: $i] :
( v2_membered(k7_relat_1(k1_numbers,X0))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_2269,c_326347]) ).
tcf(c_328530,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k7_relat_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),X2),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(k7_relat_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),X2),k1_zfmisc_1(k4_xboole_0(X0,X1))),k7_relat_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),X2))
| ~ v1_relat_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))) ),
inference(superposition,[status(thm)],[c_2269,c_323864]) ).
tcf(c_328548,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK432(X0)) ),
inference(superposition,[status(thm)],[c_2378,c_196]) ).
tcf(c_328551,plain,
! [X0: $i] :
( m1_subset_1(sK432(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_2378,c_186]) ).
tcf(c_328552,plain,
! [X0: $i] :
( r1_tarski(sK432(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2378,c_94]) ).
tcf(c_328554,plain,
( v1_xreal_0(sK432(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2378,c_1783]) ).
tcf(c_328567,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK433(X0)) ),
inference(superposition,[status(thm)],[c_2380,c_196]) ).
tcf(c_328570,plain,
! [X0: $i] :
( m1_subset_1(sK433(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_2380,c_186]) ).
tcf(c_328571,plain,
! [X0: $i] :
( r1_tarski(sK433(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2380,c_94]) ).
tcf(c_328573,plain,
( v1_xreal_0(sK433(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2380,c_1783]) ).
tcf(c_328582,plain,
r2_hidden(sK47(k1_numbers),k1_numbers),
inference(global_subsumption_just,[status(thm)],[c_326633,c_224362,c_226184]) ).
tcf(c_328584,plain,
~ r2_hidden(k1_numbers,sK47(k1_numbers)),
inference(superposition,[status(thm)],[c_328582,c_196]) ).
tcf(c_328587,plain,
m1_subset_1(sK47(k1_numbers),k1_numbers),
inference(superposition,[status(thm)],[c_328582,c_186]) ).
tcf(c_328594,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| ~ r2_hidden(X0,sK47(X0)) ),
inference(superposition,[status(thm)],[c_326636,c_196]) ).
tcf(c_328597,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| m1_subset_1(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_326636,c_186]) ).
tcf(c_328617,plain,
~ r2_hidden(k1_card_1(k5_finsub_1(np__0)),k1_card_1(np__0)),
inference(superposition,[status(thm)],[c_30123,c_326673]) ).
tcf(c_328618,plain,
~ r2_hidden(k1_card_1(k1_zfmisc_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_1300,c_326673]) ).
tcf(c_328625,plain,
! [X0: $i] :
( ~ v1_xreal_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_93,c_326676]) ).
tcf(c_328626,plain,
! [X0: $i] : ~ v1_xreal_0(k2_xboole_0(X0,k2_tarski(k1_numbers,k1_numbers))),
inference(superposition,[status(thm)],[c_233,c_326676]) ).
tcf(c_328655,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK434(X0)) ),
inference(superposition,[status(thm)],[c_2382,c_196]) ).
tcf(c_328658,plain,
! [X0: $i] :
( m1_subset_1(sK434(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_2382,c_186]) ).
tcf(c_328659,plain,
! [X0: $i] :
( r1_tarski(sK434(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2382,c_94]) ).
tcf(c_328661,plain,
( v1_xreal_0(sK434(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2382,c_1783]) ).
tcf(c_328674,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK435(X0)) ),
inference(superposition,[status(thm)],[c_2384,c_196]) ).
tcf(c_328677,plain,
! [X0: $i] :
( m1_subset_1(sK435(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_2384,c_186]) ).
tcf(c_328678,plain,
! [X0: $i] :
( r1_tarski(sK435(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2384,c_94]) ).
tcf(c_328680,plain,
( v1_xreal_0(sK435(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2384,c_1783]) ).
tcf(c_328693,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK436(X0)) ),
inference(superposition,[status(thm)],[c_2386,c_196]) ).
tcf(c_328696,plain,
! [X0: $i] :
( m1_subset_1(sK436(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_2386,c_186]) ).
tcf(c_328697,plain,
! [X0: $i] :
( r1_tarski(sK436(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2386,c_94]) ).
tcf(c_328699,plain,
( v1_xreal_0(sK436(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2386,c_1783]) ).
tcf(c_328712,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK437(X0)) ),
inference(superposition,[status(thm)],[c_2388,c_196]) ).
tcf(c_328715,plain,
! [X0: $i] :
( m1_subset_1(sK437(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_2388,c_186]) ).
tcf(c_328716,plain,
! [X0: $i] :
( r1_tarski(sK437(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2388,c_94]) ).
tcf(c_328718,plain,
( v1_xreal_0(sK437(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2388,c_1783]) ).
tcf(c_328748,plain,
( v1_relat_1(k5_finsub_1(np__0))
| ~ r2_hidden(k5_finsub_1(np__0),np__0) ),
inference(superposition,[status(thm)],[c_327546,c_326918]) ).
tcf(c_328761,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(k2_tarski(X0,X0),X1),X0),
inference(superposition,[status(thm)],[c_327040,c_196]) ).
tcf(c_328762,plain,
! [X0: $i,X1: $i] : r2_hidden(sK47(k2_xboole_0(k2_tarski(X0,X0),X1)),k2_xboole_0(k2_tarski(X0,X0),X1)),
inference(superposition,[status(thm)],[c_327040,c_192]) ).
tcf(c_328765,plain,
! [X0: $i] : ~ v1_xreal_0(k2_xboole_0(k2_tarski(k1_numbers,k1_numbers),X0)),
inference(superposition,[status(thm)],[c_327040,c_326676]) ).
tcf(c_328766,plain,
v1_xreal_0(sK118(k1_numbers)),
inference(global_subsumption_just,[status(thm)],[c_327099,c_226645,c_243734,c_243915,c_247621]) ).
tcf(c_328768,plain,
v1_xcmplx_0(sK118(k1_numbers)),
inference(superposition,[status(thm)],[c_328766,c_1811]) ).
tcf(c_328775,plain,
( sP0(k1_numbers)
| v1_relat_1(k1_numbers)
| v1_xcmplx_0(sK124(k1_numbers)) ),
inference(superposition,[status(thm)],[c_327120,c_1811]) ).
tcf(c_328783,plain,
( v5_membered(k5_finsub_1(np__0))
| ~ r2_hidden(k5_finsub_1(np__0),np__0) ),
inference(superposition,[status(thm)],[c_327546,c_327152]) ).
tcf(c_328784,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),X2)
| r1_tarski(sK25(k5_finsub_1(X0),X2),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(demodulation,[status(thm)],[c_326987,c_492,c_825]) ).
tcf(c_328794,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| r2_hidden(sK47(k5_finsub_1(X0)),k5_finsub_1(X0))
| r1_tarski(sK25(k5_finsub_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_326624,c_328784]) ).
tcf(c_328810,plain,
! [X0: $i] :
( r1_xboole_0(X0,sK437(X0))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_2389,c_2434]) ).
tcf(c_328817,plain,
! [X0: $i] :
( r2_hidden(np__0,X0)
| r1_xboole_0(k5_finsub_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_919,c_2395]) ).
tcf(c_328818,plain,
! [X0: $i] :
( r2_hidden(np__1,X0)
| r1_xboole_0(k2_finseq_1(np__1),X0) ),
inference(superposition,[status(thm)],[c_1820,c_2395]) ).
tcf(c_328819,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| r1_xboole_0(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_2395,c_2434]) ).
tcf(c_328829,plain,
~ r1_xboole_0(k5_finsub_1(np__0),k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_919,c_2398]) ).
tcf(c_328830,plain,
~ r1_xboole_0(k2_finseq_1(np__1),k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_1820,c_2398]) ).
tcf(c_328835,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tarski(X0,X0))
| ( k2_tarski(X0,X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2395,c_2430]) ).
tcf(c_328840,plain,
! [X0: $i,X1: $i] : r2_hidden(sK47(k2_tarski(k1_zfmisc_1(X0),X1)),k2_tarski(k1_zfmisc_1(X0),X1)),
inference(superposition,[status(thm)],[c_326624,c_327177]) ).
tcf(c_328841,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k2_tarski(k1_zfmisc_1(X0),X1)),
inference(superposition,[status(thm)],[c_326591,c_327177]) ).
tcf(c_328844,plain,
! [X0: $i] : ~ r1_tarski(k2_tarski(k5_finsub_1(np__0),X0),np__0),
inference(superposition,[status(thm)],[c_30123,c_327177]) ).
tcf(c_328845,plain,
! [X0: $i,X1: $i] : r2_hidden(sK47(k2_tarski(X0,k1_zfmisc_1(X1))),k2_tarski(X0,k1_zfmisc_1(X1))),
inference(superposition,[status(thm)],[c_326624,c_327182]) ).
tcf(c_328846,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k2_tarski(X0,k1_zfmisc_1(X1))),
inference(superposition,[status(thm)],[c_326591,c_327182]) ).
tcf(c_328849,plain,
! [X0: $i] : ~ r1_tarski(k2_tarski(X0,k5_finsub_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_30123,c_327182]) ).
tcf(c_328856,plain,
( sP0(k1_numbers)
| v1_funct_1(k1_numbers)
| v1_xcmplx_0(sK124(k1_numbers)) ),
inference(superposition,[status(thm)],[c_327204,c_1811]) ).
tcf(c_328877,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X1,np__0)),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X1))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_492,c_327049]) ).
tcf(c_328879,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(k2_xboole_0(X1,X2),np__0)),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(k2_xboole_0(X1,X2),k4_xboole_0(k2_xboole_0(X1,X2),k2_xboole_0(X2,X1))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_30376,c_327049]) ).
tcf(c_328885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X3,X2))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X3))
| ~ r2_hidden(X0,sK25(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3))))) ),
inference(superposition,[status(thm)],[c_327049,c_69]) ).
tcf(c_328886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X1))))
| r1_tarski(X3,sK25(k5_finsub_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X1,X2)))))
| m1_subset_1(sK25(X3,sK25(k5_finsub_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X1,X2))))),X3)
| ~ r1_tarski(X3,X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_327049,c_97752]) ).
tcf(c_328887,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| ( sK25(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))) = np__0 )
| ~ r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_327049,c_95]) ).
tcf(c_328888,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| v1_membered(sK25(k5_finsub_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))))
| ~ r1_tarski(k5_finsub_1(k1_numbers),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_327049,c_326348]) ).
tcf(c_328889,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| v2_membered(sK25(k5_finsub_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))))
| ~ r1_tarski(k5_finsub_1(k1_numbers),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_327049,c_326347]) ).
tcf(c_328890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_tarski(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))))
| ~ r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_327049,c_323864]) ).
tcf(c_328922,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ~ r2_hidden(X0,sK439(X0,X1)) ),
inference(superposition,[status(thm)],[c_2439,c_196]) ).
tcf(c_328923,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_2439,c_192]) ).
tcf(c_328924,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_191]) ).
tcf(c_328925,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| m1_subset_1(sK439(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_2439,c_186]) ).
tcf(c_328926,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k1_zfmisc_1(X0),X1)
| r1_tarski(sK439(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_2439,c_94]) ).
tcf(c_328928,plain,
! [X0: $i] :
( r1_xboole_0(k1_numbers,X0)
| v1_xreal_0(sK439(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_2439,c_1783]) ).
tcf(c_328945,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| ~ r2_hidden(X0,sK439(X1,X0)) ),
inference(superposition,[status(thm)],[c_2440,c_196]) ).
tcf(c_328946,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_2440,c_192]) ).
tcf(c_328947,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_2440,c_191]) ).
tcf(c_328948,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| m1_subset_1(sK439(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_2440,c_186]) ).
tcf(c_328949,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,k1_zfmisc_1(X1))
| r1_tarski(sK439(X0,k1_zfmisc_1(X1)),X1) ),
inference(superposition,[status(thm)],[c_2440,c_94]) ).
tcf(c_328951,plain,
! [X0: $i] :
( r1_xboole_0(X0,k1_numbers)
| v1_xreal_0(sK439(X0,k1_numbers)) ),
inference(superposition,[status(thm)],[c_2440,c_1783]) ).
tcf(c_328972,plain,
! [X0: $i,X1: $i] : r1_tarski(X0,k2_xboole_0(k4_xboole_0(X0,X1),X0)),
inference(superposition,[status(thm)],[c_31762,c_326816]) ).
tcf(c_328975,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_31762,c_531]) ).
tcf(c_328978,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,X2))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X1,X2)),X0)
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_31762,c_328784]) ).
tcf(c_328981,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k2_xboole_0(k4_xboole_0(X1,X2),X1)),
inference(superposition,[status(thm)],[c_31762,c_34474]) ).
tcf(c_328982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,X1))),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k4_xboole_0(X1,X2)))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k4_xboole_0(X1,X2),X1)) ),
inference(superposition,[status(thm)],[c_31762,c_326382]) ).
tcf(c_328983,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),X1),X0)
| r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(k4_xboole_0(X1,X2),X1)) ),
inference(superposition,[status(thm)],[c_31762,c_327317]) ).
tcf(c_328984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,X1))),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k4_xboole_0(X1,X2)))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(k4_xboole_0(X1,X2),X1)) ),
inference(superposition,[status(thm)],[c_31762,c_323943]) ).
tcf(c_328985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,X1))),X0)
| r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k4_xboole_0(X1,X2)))))
| ~ r1_tarski(X0,k2_xboole_0(k4_xboole_0(X1,X2),X1)) ),
inference(superposition,[status(thm)],[c_31762,c_323865]) ).
tcf(c_328986,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(k4_xboole_0(X1,X2),X1))),X1),
inference(superposition,[status(thm)],[c_31762,c_34474]) ).
tcf(c_328988,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k4_xboole_0(X0,X1),X0),X0),
inference(superposition,[status(thm)],[c_31762,c_326816]) ).
tcf(c_328999,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(X0,k4_xboole_0(X0,X1)),X0),
inference(theory_normalisation,[status(thm)],[c_328988,c_521,c_524]) ).
tcf(c_329003,plain,
! [X0: $i,X1: $i] : r1_tarski(X0,k2_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_328972,c_521,c_524]) ).
tcf(c_329005,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,k4_xboole_0(X1,X2)))),X1),
inference(theory_normalisation,[status(thm)],[c_328986,c_521,c_524]) ).
tcf(c_329006,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k2_xboole_0(X1,k4_xboole_0(X1,X2))),
inference(theory_normalisation,[status(thm)],[c_328981,c_521,c_524]) ).
tcf(c_329010,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),X1),X0)
| r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(theory_normalisation,[status(thm)],[c_328983,c_521,c_524]) ).
tcf(c_329014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,X1))),X0)
| r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k4_xboole_0(X1,X2)))))
| ~ r1_tarski(X0,k2_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(theory_normalisation,[status(thm)],[c_328985,c_521,c_524]) ).
tcf(c_329018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,X1))),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k4_xboole_0(X1,X2)))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(theory_normalisation,[status(thm)],[c_328984,c_521,c_524]) ).
tcf(c_329022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,X1))),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k4_xboole_0(X1,X2)))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(theory_normalisation,[status(thm)],[c_328982,c_521,c_524]) ).
tcf(c_329031,plain,
! [X0: $i,X1: $i] :
( sP8(sK56(X0,X1))
| ~ r1_tarski(X1,X0)
| ~ v1_relat_1(sK56(X0,X1)) ),
inference(superposition,[status(thm)],[c_93079,c_1234]) ).
tcf(c_329058,plain,
! [X0: $i,X1: $i] : r2_hidden(sK47(k2_xboole_0(X0,k1_zfmisc_1(X1))),k2_xboole_0(X0,k1_zfmisc_1(X1))),
inference(superposition,[status(thm)],[c_326624,c_327403]) ).
tcf(c_329064,plain,
! [X0: $i] : ~ r1_tarski(k2_xboole_0(X0,k5_finsub_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_30123,c_327403]) ).
tcf(c_329083,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X1)
| r2_hidden(sK47(X1),X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_326624,c_70]) ).
tcf(c_329084,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_326591,c_70]) ).
tcf(c_329087,plain,
! [X0: $i] :
( v1_relat_1(k2_tarski(X0,X0))
| ~ v1_relat_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_263,c_70]) ).
tcf(c_329088,plain,
! [X0: $i] :
( v1_relat_1(k2_relat_1(sK89(X0,np__0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_410,c_70]) ).
tcf(c_329089,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_518,c_70]) ).
tcf(c_329091,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| ~ v1_relat_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_920,c_70]) ).
tcf(c_329092,plain,
( v1_relat_1(k5_numbers)
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_1091,c_70]) ).
tcf(c_329095,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_tarski(X0,X0))
| ~ v1_relat_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1425,c_70]) ).
tcf(c_329096,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_tarski(X1,X1))
| ~ v1_relat_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1408,c_70]) ).
tcf(c_329098,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_relat_1(k7_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_relat_1(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_326375,c_70]) ).
tcf(c_329099,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_relat_1(sK53(X0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_326377,c_70]) ).
tcf(c_329100,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X1)
| ~ v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_326993,c_70]) ).
tcf(c_329101,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_relat_1(sK210(X0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_326378,c_70]) ).
tcf(c_329102,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_relat_1(sK211(X0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_326379,c_70]) ).
tcf(c_329103,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_zfmisc_1(k4_xboole_0(X0,X1)))
| ~ v1_relat_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))) ),
inference(superposition,[status(thm)],[c_33271,c_70]) ).
tcf(c_329104,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| ~ v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_34474,c_70]) ).
tcf(c_329105,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| v1_relat_1(sK26(k5_finsub_1(X1),X2,X0))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323884,c_70]) ).
tcf(c_329106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| v1_relat_1(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))))
| ~ v1_relat_1(X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323943,c_70]) ).
tcf(c_329107,plain,
! [X0: $i] :
( v1_relat_1(sK29(k5_finsub_1(X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_323947,c_70]) ).
tcf(c_329108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| v1_relat_1(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))))
| ~ v1_relat_1(X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_327049,c_70]) ).
tcf(c_329109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| v1_relat_1(sK25(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2)))
| ~ v1_relat_1(X0)
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_324241,c_70]) ).
tcf(c_329110,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| v1_relat_1(sK25(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))))
| ~ v1_relat_1(X0)
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_324474,c_70]) ).
tcf(c_329112,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(X0),np__0)
| v1_relat_1(sK25(k5_finsub_1(X0),np__0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_324147,c_70]) ).
tcf(c_329113,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_relat_1(sK207(X0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_325276,c_70]) ).
tcf(c_329114,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(np__0))
| ~ v1_relat_1(k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_325482,c_70]) ).
tcf(c_329115,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(np__0))
| ~ v1_relat_1(k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_325488,c_70]) ).
tcf(c_329116,plain,
! [X0: $i] :
( v1_relat_1(k2_finseq_1(np__1))
| ~ v1_relat_1(k2_tarski(np__1,X0)) ),
inference(superposition,[status(thm)],[c_325615,c_70]) ).
tcf(c_329117,plain,
! [X0: $i] :
( v1_relat_1(k2_finseq_1(np__1))
| ~ v1_relat_1(k2_tarski(X0,np__1)) ),
inference(superposition,[status(thm)],[c_325616,c_70]) ).
tcf(c_329118,plain,
( v1_relat_1(k2_finseq_1(np__1))
| ~ v1_relat_1(k1_zfmisc_1(np__1)) ),
inference(superposition,[status(thm)],[c_325618,c_70]) ).
tcf(c_329119,plain,
( v1_relat_1(k2_tarski(np__2,np__2))
| ~ v1_relat_1(k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_325630,c_70]) ).
tcf(c_329120,plain,
( v1_relat_1(k2_finseq_1(np__1))
| ~ v1_relat_1(k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_325633,c_70]) ).
tcf(c_329121,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_xboole_0(X1,X0))
| ~ v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_326816,c_70]) ).
tcf(c_329122,plain,
! [X0: $i] :
( v1_relat_1(sK29(k1_zfmisc_1(X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_326374,c_70]) ).
tcf(c_329123,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| v1_relat_1(sK26(k1_zfmisc_1(X1),X2,X0))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_326381,c_70]) ).
tcf(c_329124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| v1_relat_1(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))))
| ~ v1_relat_1(X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_326382,c_70]) ).
tcf(c_329125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| v1_relat_1(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))))
| ~ v1_relat_1(X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_326383,c_70]) ).
tcf(c_329126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| v1_relat_1(sK25(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2)))
| ~ v1_relat_1(X0)
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_326385,c_70]) ).
tcf(c_329127,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| v1_relat_1(sK28(k1_zfmisc_1(X0),X1))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_326593,c_70]) ).
tcf(c_329128,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| v1_relat_1(sK25(k5_finsub_1(X0),k2_xboole_0(X2,X1)))
| ~ v1_relat_1(X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_327317,c_70]) ).
tcf(c_329129,plain,
! [X0: $i] :
( v1_relat_1(sK47(k1_zfmisc_1(X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_328444,c_70]) ).
tcf(c_329130,plain,
! [X0: $i] :
( v1_relat_1(sK25(k1_zfmisc_1(X0),np__0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_328139,c_70]) ).
tcf(c_329263,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(np__0),k1_zfmisc_1(X0))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_30123,c_90]) ).
tcf(c_329264,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(X0),k5_finsub_1(np__0))
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_30123,c_90]) ).
tcf(c_329265,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_90,c_70]) ).
tcf(c_329266,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_90,c_69]) ).
tcf(c_329267,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_zfmisc_1(X2))
| m1_subset_1(sK25(X0,k1_zfmisc_1(X2)),X0)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_90,c_97752]) ).
tcf(c_329271,plain,
! [X0: $i] : r1_tarski(k5_finsub_1(np__0),k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_329263,c_96]) ).
tcf(c_329285,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(sK28(X0,k1_zfmisc_1(X1)),X1) ),
inference(superposition,[status(thm)],[c_93,c_102]) ).
tcf(c_329287,plain,
! [X0: $i] :
( r1_tarski(X0,k1_numbers)
| ~ v1_xreal_0(sK28(X0,k1_numbers)) ),
inference(superposition,[status(thm)],[c_1784,c_102]) ).
tcf(c_329303,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(np__0))
| ~ v1_relat_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_329271,c_70]) ).
tcf(c_329304,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_329271,c_69]) ).
tcf(c_329305,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k5_finsub_1(np__0))
| m1_subset_1(sK25(X0,k5_finsub_1(np__0)),X0)
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_329271,c_97752]) ).
tcf(c_329314,plain,
~ r2_hidden(np__1,np__0),
inference(superposition,[status(thm)],[c_824,c_327510]) ).
tcf(c_329361,plain,
~ r2_hidden(np__0,sK25(k5_finsub_1(np__0),np__0)),
inference(superposition,[status(thm)],[c_30123,c_328142]) ).
tcf(c_329377,plain,
( v1_xboole_0(u1_struct_0(sK23))
| r2_hidden(sK24,u1_struct_0(sK23)) ),
inference(superposition,[status(thm)],[c_51,c_188]) ).
tcf(c_329379,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK29(X0),X0) ),
inference(superposition,[status(thm)],[c_105,c_188]) ).
tcf(c_329380,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| r2_hidden(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_93008,c_188]) ).
tcf(c_329381,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(np__0,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_157,c_188]) ).
tcf(c_329382,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK53(X0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_211,c_188]) ).
tcf(c_329389,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k5_finsub_1(X0))
| r2_hidden(sK207(X0),k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_851,c_188]) ).
tcf(c_329390,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK210(X0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_873,c_188]) ).
tcf(c_329391,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK211(X0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_882,c_188]) ).
tcf(c_329392,plain,
( v1_xboole_0(k1_numbers)
| r2_hidden(sK242,k1_numbers) ),
inference(superposition,[status(thm)],[c_1077,c_188]) ).
tcf(c_329393,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| r2_hidden(k5_numbers,k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1089,c_188]) ).
tcf(c_329397,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_2009,c_188]) ).
tcf(c_329398,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r1_tarski(X2,X0)
| r2_hidden(sK26(X1,X2,X0),X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_97754,c_188]) ).
tcf(c_329399,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| v1_xboole_0(u1_struct_0(sK362))
| r2_hidden(k2_rlvect_1(sK362,X0,X1),u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(superposition,[status(thm)],[c_79508,c_188]) ).
tcf(c_329400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X0)
| r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| r2_hidden(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323865,c_188]) ).
tcf(c_329401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X0)
| r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| r2_hidden(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323866,c_188]) ).
tcf(c_329402,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_tarski(X0,np__0)
| r2_hidden(sK25(X0,np__0),X0) ),
inference(superposition,[status(thm)],[c_324141,c_188]) ).
tcf(c_329403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X3)
| r1_tarski(X2,X0)
| r1_tarski(X3,sK26(k5_finsub_1(X1),X2,X0))
| r2_hidden(sK25(X3,sK26(k5_finsub_1(X1),X2,X0)),X3)
| ~ r1_tarski(X3,X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323904,c_188]) ).
tcf(c_329404,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| r2_hidden(np__0,k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_325109,c_188]) ).
tcf(c_329405,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK72(X0),X0) ),
inference(superposition,[status(thm)],[c_325141,c_188]) ).
tcf(c_329406,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK73(X0),X0) ),
inference(superposition,[status(thm)],[c_325142,c_188]) ).
tcf(c_329412,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK355(X0),X0) ),
inference(superposition,[status(thm)],[c_325148,c_188]) ).
tcf(c_329413,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK402(X0),X0) ),
inference(superposition,[status(thm)],[c_325149,c_188]) ).
tcf(c_329424,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_328428,c_188]) ).
tcf(c_329425,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_327155,c_188]) ).
tcf(c_329426,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_326938,c_188]) ).
tcf(c_329428,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_326899,c_188]) ).
tcf(c_329435,plain,
r2_hidden(sK242,k1_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_329392,c_2495]) ).
tcf(c_329440,plain,
r2_hidden(k5_numbers,k1_zfmisc_1(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_329393,c_213]) ).
tcf(c_329441,plain,
! [X0: $i] : r2_hidden(np__0,k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_329381,c_213]) ).
tcf(c_329480,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK211(X0),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_329391,c_213]) ).
tcf(c_329483,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK210(X0),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_329390,c_213]) ).
tcf(c_329489,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK53(X0),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_329382,c_213]) ).
tcf(c_329492,plain,
! [X0: $i] :
( r2_hidden(k2_finseq_1(X0),k1_zfmisc_1(k5_numbers))
| ~ v4_ordinal2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_329397,c_213]) ).
tcf(c_329523,plain,
! [X0: $i] :
( v3_realset2(X0)
| r2_hidden(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_329380,c_213]) ).
tcf(c_329552,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_189,c_860]) ).
tcf(c_329553,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_189,c_93114]) ).
tcf(c_329554,plain,
! [X0: $i] :
( ~ v1_xboole_0(k5_numbers)
| ~ v3_xreal_0(X0)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_189,c_2186]) ).
tcf(c_329555,plain,
! [X0: $i] :
( v1_int_1(X0)
| ~ v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_189,c_2187]) ).
tcf(c_329556,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_189,c_2185]) ).
tcf(c_329557,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_189,c_2184]) ).
tcf(c_329558,plain,
! [X0: $i] :
( v4_ordinal2(X0)
| ~ v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_189,c_2183]) ).
tcf(c_329559,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_189,c_2174]) ).
tcf(c_329592,plain,
( v1_xboole_0(sK24)
| ~ v1_xboole_0(u1_struct_0(sK23)) ),
inference(superposition,[status(thm)],[c_51,c_190]) ).
tcf(c_329593,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_71,c_190]) ).
tcf(c_329594,plain,
! [X0: $i] :
( v1_xboole_0(sK29(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_105,c_190]) ).
tcf(c_329595,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_xboole_0(k7_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(superposition,[status(thm)],[c_93008,c_190]) ).
tcf(c_329605,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK207(X0))
| ~ v1_xboole_0(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_851,c_190]) ).
tcf(c_329609,plain,
( v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1089,c_190]) ).
tcf(c_329613,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_2009,c_190]) ).
tcf(c_329614,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| v1_xboole_0(sK26(X1,X2,X0))
| ~ v1_xboole_0(X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_97754,c_190]) ).
tcf(c_329615,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| v1_xboole_0(k2_rlvect_1(sK362,X0,X1))
| ~ v1_xboole_0(u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(superposition,[status(thm)],[c_79508,c_190]) ).
tcf(c_329616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| v1_xboole_0(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))))
| ~ v1_xboole_0(X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323865,c_190]) ).
tcf(c_329617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| v1_xboole_0(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))))
| ~ v1_xboole_0(X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323866,c_190]) ).
tcf(c_329618,plain,
! [X0: $i] :
( r1_tarski(X0,np__0)
| v1_xboole_0(sK25(X0,np__0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_324141,c_190]) ).
tcf(c_329619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X0)
| r1_tarski(X3,sK26(k5_finsub_1(X1),X2,X0))
| v1_xboole_0(sK25(X3,sK26(k5_finsub_1(X1),X2,X0)))
| ~ v1_xboole_0(X3)
| ~ r1_tarski(X3,X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323904,c_190]) ).
tcf(c_329621,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(sK72(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_325141,c_190]) ).
tcf(c_329622,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(sK73(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_325142,c_190]) ).
tcf(c_329623,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xboole_0(sK137(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_325143,c_190]) ).
tcf(c_329628,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xboole_0(sK355(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_325148,c_190]) ).
tcf(c_329629,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xboole_0(sK402(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_325149,c_190]) ).
tcf(c_329637,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| v1_xboole_0(sK441(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_325985,c_190]) ).
tcf(c_329640,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_xboole_0(sK47(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_328428,c_190]) ).
tcf(c_329641,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xboole_0(sK47(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_327155,c_190]) ).
tcf(c_329642,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xboole_0(sK47(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_326938,c_190]) ).
tcf(c_329643,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xboole_0(sK47(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_326921,c_190]) ).
tcf(c_329644,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(sK47(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_326899,c_190]) ).
tcf(c_329746,plain,
~ r2_hidden(k1_numbers,sK242),
inference(superposition,[status(thm)],[c_329435,c_196]) ).
tcf(c_329751,plain,
~ r2_hidden(k1_zfmisc_1(k1_numbers),k5_numbers),
inference(superposition,[status(thm)],[c_329440,c_196]) ).
tcf(c_329752,plain,
r2_hidden(sK47(k1_zfmisc_1(k1_numbers)),k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_329440,c_192]) ).
tcf(c_329753,plain,
~ v1_xboole_0(k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_329440,c_191]) ).
tcf(c_329757,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),np__0),
inference(superposition,[status(thm)],[c_329441,c_196]) ).
tcf(c_329762,plain,
~ v1_xboole_0(u1_struct_0(sK23)),
inference(global_subsumption_just,[status(thm)],[c_329592,c_56,c_53,c_52,c_235078,c_246088]) ).
tcf(c_329764,plain,
r2_hidden(sK24,u1_struct_0(sK23)),
inference(global_subsumption_just,[status(thm)],[c_329377,c_56,c_53,c_52,c_229106,c_235078,c_246088]) ).
tcf(c_329766,plain,
~ r2_hidden(u1_struct_0(sK23),sK24),
inference(superposition,[status(thm)],[c_329764,c_196]) ).
tcf(c_329767,plain,
r2_hidden(sK47(u1_struct_0(sK23)),u1_struct_0(sK23)),
inference(superposition,[status(thm)],[c_329764,c_192]) ).
tcf(c_329770,plain,
~ r2_hidden(u1_struct_0(sK23),sK47(u1_struct_0(sK23))),
inference(superposition,[status(thm)],[c_329767,c_196]) ).
tcf(c_329773,plain,
m1_subset_1(sK47(u1_struct_0(sK23)),u1_struct_0(sK23)),
inference(superposition,[status(thm)],[c_329767,c_186]) ).
tcf(c_329781,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK29(X0)) ),
inference(superposition,[status(thm)],[c_329379,c_196]) ).
tcf(c_329782,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_329379,c_192]) ).
tcf(c_329787,plain,
( v1_xboole_0(k1_numbers)
| v1_xreal_0(sK29(k1_numbers)) ),
inference(superposition,[status(thm)],[c_329379,c_1783]) ).
tcf(c_329788,plain,
v1_xreal_0(sK29(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_329787,c_2495]) ).
tcf(c_329798,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_71,c_198]) ).
tcf(c_329799,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK29(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),
inference(superposition,[status(thm)],[c_105,c_198]) ).
tcf(c_329801,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_189,c_198]) ).
tcf(c_329802,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_relat_1(sK53(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_211,c_198]) ).
tcf(c_329803,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_relat_1(sK210(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_873,c_198]) ).
tcf(c_329804,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_relat_1(sK211(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_882,c_198]) ).
tcf(c_329805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X0)
| v1_relat_1(sK26(k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X3,X0))
| ~ r1_tarski(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ r1_tarski(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(superposition,[status(thm)],[c_97754,c_198]) ).
tcf(c_329806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| v1_relat_1(sK25(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))))
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_323865,c_198]) ).
tcf(c_329807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3))))
| v1_relat_1(sK25(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))))
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_323866,c_198]) ).
tcf(c_329808,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),np__0)
| v1_relat_1(sK25(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),np__0)) ),
inference(superposition,[status(thm)],[c_324141,c_198]) ).
tcf(c_329809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X4,X3)
| r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK26(k5_finsub_1(X2),X4,X3))
| v1_relat_1(sK25(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK26(k5_finsub_1(X2),X4,X3)))
| ~ r1_tarski(X4,k5_finsub_1(X2))
| ~ r1_tarski(X3,k5_finsub_1(X2))
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_323904,c_198]) ).
tcf(c_329810,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK72(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_325141,c_198]) ).
tcf(c_329811,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK73(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_325142,c_198]) ).
tcf(c_329812,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK137(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_325143,c_198]) ).
tcf(c_329813,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK355(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_325148,c_198]) ).
tcf(c_329814,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK402(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_325149,c_198]) ).
tcf(c_329815,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| v1_relat_1(sK441(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_325985,c_198]) ).
tcf(c_329821,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK47(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),
inference(superposition,[status(thm)],[c_328443,c_198]) ).
tcf(c_329822,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_161,c_198]) ).
tcf(c_329824,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ m1_subset_1(X0,k5_finsub_1(np__0)) ),
inference(light_normalisation,[status(thm)],[c_329822,c_30123]) ).
tcf(c_329877,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| ~ r2_hidden(np__0,X0) ),
inference(superposition,[status(thm)],[c_919,c_281]) ).
tcf(c_329878,plain,
! [X0: $i] :
( r1_tarski(k2_finseq_1(np__1),X0)
| ~ r2_hidden(np__1,X0) ),
inference(superposition,[status(thm)],[c_1820,c_281]) ).
tcf(c_329879,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_281,c_70]) ).
tcf(c_329880,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_281,c_69]) ).
tcf(c_329881,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_tarski(X2,X2))
| m1_subset_1(sK25(X0,k2_tarski(X2,X2)),X0)
| ~ r2_hidden(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_281,c_97752]) ).
tcf(c_329883,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_281,c_326348]) ).
tcf(c_329884,plain,
! [X0: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ r2_hidden(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_281,c_326347]) ).
tcf(c_329885,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_tarski(X0,X0),k1_zfmisc_1(k4_xboole_0(X1,X2)))
| m1_subset_1(sK25(k2_tarski(X0,X0),k1_zfmisc_1(k4_xboole_0(X1,X2))),k2_tarski(X0,X0))
| ~ r2_hidden(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2)))) ),
inference(superposition,[status(thm)],[c_281,c_323864]) ).
tcf(c_329886,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),X0),
inference(superposition,[status(thm)],[c_281,c_327177]) ).
tcf(c_329914,plain,
! [X0: $i] :
( v2_membered(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_299,c_326868]) ).
tcf(c_329915,plain,
! [X0: $i] :
( v5_membered(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_299,c_325175]) ).
tcf(c_329916,plain,
! [X0: $i] :
( v1_membered(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_299,c_325174]) ).
tcf(c_329917,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = np__0 )
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_299,c_166]) ).
tcf(c_329918,plain,
! [X0: $i] :
( v2_funct_1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_299,c_93257]) ).
tcf(c_329919,plain,
! [X0: $i] :
( v1_finset_1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_299,c_887]) ).
tcf(c_329920,plain,
! [X0: $i] :
( v1_realset1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_299,c_353]) ).
tcf(c_329921,plain,
! [X0: $i] :
( v1_funct_1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_299,c_214]) ).
tcf(c_329922,plain,
! [X0: $i] :
( v1_relat_1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_299,c_178]) ).
tcf(c_329951,plain,
v1_xcmplx_0(sK29(k1_numbers)),
inference(superposition,[status(thm)],[c_329788,c_1811]) ).
tcf(c_329952,plain,
! [X0: $i] : ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_93,c_329886]) ).
tcf(c_329953,plain,
~ v1_xreal_0(k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_1784,c_329886]) ).
tcf(c_329960,plain,
! [X0: $i] :
( v2_membered(sK29(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329594,c_326868]) ).
tcf(c_329961,plain,
! [X0: $i] :
( v5_membered(sK29(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329594,c_325175]) ).
tcf(c_329962,plain,
! [X0: $i] :
( v1_membered(sK29(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329594,c_325174]) ).
tcf(c_329963,plain,
! [X0: $i] :
( ( sK29(X0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329594,c_166]) ).
tcf(c_329964,plain,
! [X0: $i] :
( v2_funct_1(sK29(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329594,c_93257]) ).
tcf(c_329965,plain,
! [X0: $i] :
( v1_finset_1(sK29(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329594,c_887]) ).
tcf(c_329966,plain,
! [X0: $i] :
( v1_realset1(sK29(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329594,c_353]) ).
tcf(c_329967,plain,
! [X0: $i] :
( v1_funct_1(sK29(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329594,c_214]) ).
tcf(c_329968,plain,
! [X0: $i] :
( v1_relat_1(sK29(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329594,c_178]) ).
tcf(c_329992,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK47(X0)) ),
inference(superposition,[status(thm)],[c_329782,c_196]) ).
tcf(c_329995,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_329782,c_186]) ).
tcf(c_330003,plain,
v1_relat_1(sK29(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_161,c_329799]) ).
tcf(c_330006,plain,
v1_relat_1(sK47(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_161,c_329821]) ).
tcf(c_330009,plain,
! [X0: $i] : r2_hidden(sK47(k1_zfmisc_1(k1_zfmisc_1(X0))),k1_zfmisc_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_326624,c_329952]) ).
tcf(c_330010,plain,
! [X0: $i] : ~ v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_326591,c_329952]) ).
tcf(c_330012,plain,
~ r1_tarski(k1_zfmisc_1(k5_finsub_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_30123,c_329952]) ).
tcf(c_330029,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,np__0))
| r1_tarski(sK25(k5_finsub_1(X0),X1),X0) ),
inference(global_subsumption_just,[status(thm)],[c_327328,c_299957]) ).
tcf(c_330059,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK74(k1_zfmisc_1(X0)),X0)
| ~ v1_realset1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_342,c_72]) ).
tcf(c_330061,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK74(X0),X0)
| ~ v1_realset1(X0) ),
inference(superposition,[status(thm)],[c_342,c_188]) ).
tcf(c_330062,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK74(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_realset1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_342,c_198]) ).
tcf(c_330063,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK74(k5_finsub_1(X0)))
| ~ v1_realset1(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_342,c_860]) ).
tcf(c_330064,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| r1_tarski(sK74(k5_finsub_1(X0)),X0)
| ~ v1_realset1(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_342,c_93114]) ).
tcf(c_330065,plain,
( v1_xboole_0(k5_numbers)
| ~ v1_realset1(k5_numbers)
| ~ v3_xreal_0(sK74(k5_numbers)) ),
inference(superposition,[status(thm)],[c_342,c_2186]) ).
tcf(c_330066,plain,
( v1_xboole_0(k5_numbers)
| v1_int_1(sK74(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_342,c_2187]) ).
tcf(c_330067,plain,
( v1_xboole_0(k5_numbers)
| v1_xreal_0(sK74(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_342,c_2185]) ).
tcf(c_330068,plain,
( v1_xboole_0(k5_numbers)
| v1_xcmplx_0(sK74(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_342,c_2184]) ).
tcf(c_330069,plain,
( v1_xboole_0(k5_numbers)
| v4_ordinal2(sK74(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_342,c_2183]) ).
tcf(c_330070,plain,
( v1_xboole_0(k5_numbers)
| v1_finset_1(sK74(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_342,c_2174]) ).
tcf(c_330071,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v2_membered(sK74(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_342,c_2499]) ).
tcf(c_330072,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v1_membered(sK74(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_342,c_2498]) ).
tcf(c_330094,plain,
( v1_membered(sK74(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_330072,c_213]) ).
tcf(c_330097,plain,
( v2_membered(sK74(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_330071,c_213]) ).
tcf(c_330106,plain,
! [X0: $i] :
( r1_tarski(sK74(k1_zfmisc_1(X0)),X0)
| ~ v1_realset1(k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_330059,c_213]) ).
tcf(c_330109,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK74(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_330062,c_213]) ).
tcf(c_330117,plain,
! [X0: $i] :
( sP7(sK29(X0))
| ~ v1_xboole_0(X0)
| ~ sP8(sK29(X0)) ),
inference(superposition,[status(thm)],[c_329964,c_1223]) ).
tcf(c_330136,plain,
! [X0: $i] :
( sP8(sK29(X0))
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(sK29(X0)) ),
inference(superposition,[status(thm)],[c_329967,c_1234]) ).
tcf(c_330149,plain,
( v1_xboole_0(k5_finsub_1(np__0))
| m1_subset_1(np__0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_327546,c_329995]) ).
tcf(c_330154,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK47(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_329995,c_860]) ).
tcf(c_330155,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| r1_tarski(sK47(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_329995,c_93114]) ).
tcf(c_330168,plain,
r2_hidden(sK47(k1_zfmisc_1(k5_finsub_1(np__0))),k1_zfmisc_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_326624,c_330012]) ).
tcf(c_330169,plain,
~ v1_xboole_0(k1_zfmisc_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_326591,c_330012]) ).
tcf(c_330170,plain,
( m1_subset_1(np__0,k5_finsub_1(np__0))
| r1_tarski(k5_finsub_1(np__0),np__0) ),
inference(superposition,[status(thm)],[c_328148,c_324141]) ).
tcf(c_330171,plain,
( r1_tarski(np__0,np__0)
| r1_tarski(k5_finsub_1(np__0),np__0) ),
inference(superposition,[status(thm)],[c_328148,c_324147]) ).
tcf(c_330176,plain,
( r1_tarski(np__0,k5_numbers)
| ~ v4_ordinal2(np__0) ),
inference(superposition,[status(thm)],[c_1819,c_328268]) ).
tcf(c_330177,plain,
! [X0: $i] :
( v1_relat_1(k2_finseq_1(X0))
| ~ v1_relat_1(k5_numbers)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_328268,c_70]) ).
tcf(c_330178,plain,
! [X0: $i] :
( ~ v4_ordinal2(X0)
| ~ r2_hidden(k5_numbers,k2_finseq_1(X0)) ),
inference(superposition,[status(thm)],[c_328268,c_69]) ).
tcf(c_330179,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_finseq_1(X1))
| m1_subset_1(sK25(X0,k2_finseq_1(X1)),X0)
| ~ v4_ordinal2(X1)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_328268,c_97752]) ).
tcf(c_330204,plain,
! [X0: $i] :
( m1_subset_1(np__0,k5_finsub_1(np__0))
| r1_tarski(k5_finsub_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_327546,c_328348]) ).
tcf(c_330206,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X1)
| m1_subset_1(sK47(X1),X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_328348,c_70]) ).
tcf(c_330207,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK47(X1),X1)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_328348,c_69]) ).
tcf(c_330208,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| m1_subset_1(sK47(X2),X2)
| m1_subset_1(sK25(X0,X2),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_328348,c_97752]) ).
tcf(c_330209,plain,
! [X0: $i] :
( m1_subset_1(sK47(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_328348,c_95]) ).
tcf(c_330212,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK47(X0),X0)
| r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(X1,X2)))
| m1_subset_1(sK25(X0,k1_zfmisc_1(k4_xboole_0(X1,X2))),X0) ),
inference(superposition,[status(thm)],[c_328348,c_323864]) ).
tcf(c_330213,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| m1_subset_1(sK47(k5_finsub_1(X0)),k5_finsub_1(X0))
| r1_tarski(sK25(k5_finsub_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_328348,c_328784]) ).
tcf(c_330216,plain,
! [X0: $i,X1: $i] : m1_subset_1(sK47(k2_xboole_0(k1_zfmisc_1(X0),X1)),k2_xboole_0(k1_zfmisc_1(X0),X1)),
inference(superposition,[status(thm)],[c_328348,c_326441]) ).
tcf(c_330217,plain,
! [X0: $i,X1: $i] : m1_subset_1(sK47(k2_tarski(k1_zfmisc_1(X0),X1)),k2_tarski(k1_zfmisc_1(X0),X1)),
inference(superposition,[status(thm)],[c_328348,c_327177]) ).
tcf(c_330218,plain,
! [X0: $i,X1: $i] : m1_subset_1(sK47(k2_tarski(X0,k1_zfmisc_1(X1))),k2_tarski(X0,k1_zfmisc_1(X1))),
inference(superposition,[status(thm)],[c_328348,c_327182]) ).
tcf(c_330219,plain,
! [X0: $i,X1: $i] : m1_subset_1(sK47(k2_xboole_0(X0,k1_zfmisc_1(X1))),k2_xboole_0(X0,k1_zfmisc_1(X1))),
inference(superposition,[status(thm)],[c_328348,c_327403]) ).
tcf(c_330220,plain,
! [X0: $i] : m1_subset_1(sK47(k2_xboole_0(k5_finsub_1(np__0),X0)),k2_xboole_0(k5_finsub_1(np__0),X0)),
inference(superposition,[status(thm)],[c_328348,c_328297]) ).
tcf(c_330221,plain,
! [X0: $i] : m1_subset_1(sK47(k1_zfmisc_1(k1_zfmisc_1(X0))),k1_zfmisc_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_328348,c_329952]) ).
tcf(c_330222,plain,
m1_subset_1(sK47(k1_zfmisc_1(k5_finsub_1(np__0))),k1_zfmisc_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_328348,c_330012]) ).
tcf(c_330227,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(sK47(k5_finsub_1(X0)))
| r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_328348,c_860]) ).
tcf(c_330228,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| r1_tarski(sK47(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_328348,c_93114]) ).
tcf(c_330258,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| r1_tarski(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_327330,c_240680]) ).
tcf(c_330264,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2))
| r1_tarski(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_327317,c_330258]) ).
tcf(c_330268,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(np__0,X1))
| r1_tarski(sK25(k5_finsub_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_522,c_330258]) ).
tcf(c_330269,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X1))
| r1_tarski(sK25(k5_finsub_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_523,c_330258]) ).
tcf(c_330272,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),X1),X0)
| r1_tarski(k5_finsub_1(X0),k2_xboole_0(k4_xboole_0(X1,X2),X1)) ),
inference(superposition,[status(thm)],[c_31762,c_330258]) ).
tcf(c_330273,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| v1_relat_1(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_330258,c_70]) ).
tcf(c_330274,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| ~ r2_hidden(X0,sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_330258,c_69]) ).
tcf(c_330275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X1),k2_xboole_0(X3,X2))
| r1_tarski(X0,sK25(k5_finsub_1(X1),k2_xboole_0(X2,X3)))
| m1_subset_1(sK25(X0,sK25(k5_finsub_1(X1),k2_xboole_0(X2,X3))),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_330258,c_97752]) ).
tcf(c_330276,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X1,X0))
| ( sK25(k5_finsub_1(np__0),k2_xboole_0(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_330258,c_95]) ).
tcf(c_330277,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(k1_numbers),k2_xboole_0(X1,X0))
| v1_membered(sK25(k5_finsub_1(k1_numbers),k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_330258,c_326348]) ).
tcf(c_330278,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(k1_numbers),k2_xboole_0(X1,X0))
| v2_membered(sK25(k5_finsub_1(k1_numbers),k2_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_330258,c_326347]) ).
tcf(c_330279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X3,X2))
| r1_tarski(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X2,X3)),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X2,X3)),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X2,X3))) ),
inference(superposition,[status(thm)],[c_330258,c_323864]) ).
tcf(c_330288,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),X1),X0)
| r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(theory_normalisation,[status(thm)],[c_330272,c_521,c_524]) ).
tcf(c_330311,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK75(k1_zfmisc_1(X0)),X0)
| ~ v1_realset1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_344,c_72]) ).
tcf(c_330313,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK75(X0),X0)
| ~ v1_realset1(X0) ),
inference(superposition,[status(thm)],[c_344,c_188]) ).
tcf(c_330314,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK75(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_realset1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_344,c_198]) ).
tcf(c_330315,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK75(k5_finsub_1(X0)))
| ~ v1_realset1(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_344,c_860]) ).
tcf(c_330316,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| r1_tarski(sK75(k5_finsub_1(X0)),X0)
| ~ v1_realset1(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_344,c_93114]) ).
tcf(c_330317,plain,
( v1_xboole_0(k5_numbers)
| ~ v1_realset1(k5_numbers)
| ~ v3_xreal_0(sK75(k5_numbers)) ),
inference(superposition,[status(thm)],[c_344,c_2186]) ).
tcf(c_330318,plain,
( v1_xboole_0(k5_numbers)
| v1_int_1(sK75(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_344,c_2187]) ).
tcf(c_330319,plain,
( v1_xboole_0(k5_numbers)
| v1_xreal_0(sK75(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_344,c_2185]) ).
tcf(c_330320,plain,
( v1_xboole_0(k5_numbers)
| v1_xcmplx_0(sK75(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_344,c_2184]) ).
tcf(c_330321,plain,
( v1_xboole_0(k5_numbers)
| v4_ordinal2(sK75(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_344,c_2183]) ).
tcf(c_330322,plain,
( v1_xboole_0(k5_numbers)
| v1_finset_1(sK75(k5_numbers))
| ~ v1_realset1(k5_numbers) ),
inference(superposition,[status(thm)],[c_344,c_2174]) ).
tcf(c_330323,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v2_membered(sK75(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_344,c_2499]) ).
tcf(c_330324,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v1_membered(sK75(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_344,c_2498]) ).
tcf(c_330346,plain,
( v1_membered(sK75(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_330324,c_213]) ).
tcf(c_330349,plain,
( v2_membered(sK75(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_330323,c_213]) ).
tcf(c_330358,plain,
! [X0: $i] :
( r1_tarski(sK75(k1_zfmisc_1(X0)),X0)
| ~ v1_realset1(k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_330311,c_213]) ).
tcf(c_330361,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK75(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_330314,c_213]) ).
tcf(c_330371,plain,
! [X0: $i] :
( v1_xboole_0(sK89(X0,np__0))
| ~ v1_xboole_0(np__0)
| ~ v1_relat_1(sK89(X0,np__0)) ),
inference(superposition,[status(thm)],[c_409,c_435]) ).
tcf(c_330373,plain,
! [X0: $i] : v1_xboole_0(sK89(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_330371,c_169,c_411]) ).
tcf(c_330374,plain,
! [X0: $i] : r1_tarski(np__0,k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(np__0,X0)))),
inference(superposition,[status(thm)],[c_161,c_483]) ).
tcf(c_330375,plain,
! [X0: $i] : r1_tarski(np__0,k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,np__0)))),
inference(superposition,[status(thm)],[c_162,c_483]) ).
tcf(c_330377,plain,
! [X0: $i] : r1_tarski(k2_zfmisc_1(X0,np__0),k1_zfmisc_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_522,c_483]) ).
tcf(c_330378,plain,
! [X0: $i] : r1_tarski(k2_zfmisc_1(X0,X0),k1_zfmisc_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_523,c_483]) ).
tcf(c_330379,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_524,c_483]) ).
tcf(c_330380,plain,
! [X0: $i] : r1_tarski(k2_zfmisc_1(np__0,X0),k1_zfmisc_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_327052,c_483]) ).
tcf(c_330381,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_31762,c_483]) ).
tcf(c_330383,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_483,c_69]) ).
tcf(c_330384,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_zfmisc_1(X1,X2))
| m1_subset_1(sK25(X0,k2_zfmisc_1(X1,X2)),X0)
| ~ r1_tarski(X0,k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X1,X2)))) ),
inference(superposition,[status(thm)],[c_483,c_97752]) ).
tcf(c_330385,plain,
! [X0: $i] : r1_tarski(np__0,k1_zfmisc_1(k1_zfmisc_1(X0))),
inference(light_normalisation,[status(thm)],[c_330380,c_161]) ).
tcf(c_330395,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X0),k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_825,c_502]) ).
tcf(c_330400,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k2_xboole_0(X2,X0)),
inference(superposition,[status(thm)],[c_524,c_502]) ).
tcf(c_330401,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(np__0,k4_xboole_0(np__0,X0)),X1),
inference(superposition,[status(thm)],[c_327052,c_502]) ).
tcf(c_330402,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X0),
inference(superposition,[status(thm)],[c_31762,c_502]) ).
tcf(c_330403,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X2)))
| ~ v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_502,c_70]) ).
tcf(c_330404,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X2))),
inference(superposition,[status(thm)],[c_502,c_69]) ).
tcf(c_330405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,X3)))
| m1_subset_1(sK25(X0,k4_xboole_0(X1,k4_xboole_0(X1,X3))),X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_502,c_97752]) ).
tcf(c_330406,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k5_finsub_1(np__0),X0)),k1_zfmisc_1(k4_xboole_0(X1,X2)))
| m1_subset_1(sK25(k4_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k5_finsub_1(np__0),X0)),k1_zfmisc_1(k4_xboole_0(X1,X2))),k4_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k5_finsub_1(np__0),X0))) ),
inference(superposition,[status(thm)],[c_502,c_323864]) ).
tcf(c_330416,plain,
! [X0: $i] : v2_membered(sK89(X0,np__0)),
inference(superposition,[status(thm)],[c_330373,c_326868]) ).
tcf(c_330417,plain,
! [X0: $i] : v5_membered(sK89(X0,np__0)),
inference(superposition,[status(thm)],[c_330373,c_325175]) ).
tcf(c_330418,plain,
! [X0: $i] : v1_membered(sK89(X0,np__0)),
inference(superposition,[status(thm)],[c_330373,c_325174]) ).
tcf(c_330419,plain,
! [X0: $i] : sK89(X0,np__0) = np__0,
inference(superposition,[status(thm)],[c_330373,c_166]) ).
tcf(c_330420,plain,
! [X0: $i] : v2_funct_1(sK89(X0,np__0)),
inference(superposition,[status(thm)],[c_330373,c_93257]) ).
tcf(c_330421,plain,
! [X0: $i] : v1_finset_1(sK89(X0,np__0)),
inference(superposition,[status(thm)],[c_330373,c_887]) ).
tcf(c_330422,plain,
! [X0: $i] : v1_realset1(sK89(X0,np__0)),
inference(superposition,[status(thm)],[c_330373,c_353]) ).
tcf(c_330426,plain,
! [X0: $i] : ~ r2_hidden(X0,k2_relat_1(np__0)),
inference(demodulation,[status(thm)],[c_326290,c_330419]) ).
tcf(c_330429,plain,
! [X0: $i] : r1_tarski(k2_relat_1(np__0),X0),
inference(demodulation,[status(thm)],[c_410,c_330419]) ).
tcf(c_330433,plain,
v1_membered(k2_relat_1(np__0)),
inference(demodulation,[status(thm)],[c_326707,c_330419]) ).
tcf(c_330434,plain,
v2_membered(k2_relat_1(np__0)),
inference(demodulation,[status(thm)],[c_326520,c_330419]) ).
tcf(c_330469,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| m1_subset_1(sK47(k2_xboole_0(X0,X1)),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328348,c_514]) ).
tcf(c_330470,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r2_hidden(sK47(k2_xboole_0(X0,X1)),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_326624,c_514]) ).
tcf(c_330471,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_326591,c_514]) ).
tcf(c_330473,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(X0,k2_xboole_0(k2_xboole_0(X0,X1),X2)),
inference(superposition,[status(thm)],[c_518,c_514]) ).
tcf(c_330474,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(X0,k2_xboole_0(X1,k2_xboole_0(X0,X2))),
inference(superposition,[status(thm)],[c_326993,c_514]) ).
tcf(c_330479,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ~ r1_tarski(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_524,c_514]) ).
tcf(c_330480,plain,
! [X0: $i,X1: $i] :
( r1_tarski(np__0,X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_327052,c_514]) ).
tcf(c_330482,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_330473,c_521,c_524]) ).
tcf(c_330496,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_522,c_515]) ).
tcf(c_330498,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_524,c_515]) ).
tcf(c_330501,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_515,c_70]) ).
tcf(c_330502,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_tarski(X2,X1)
| ~ r2_hidden(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_515,c_69]) ).
tcf(c_330503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X3)
| m1_subset_1(sK25(X0,X3),X0)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_515,c_97752]) ).
tcf(c_330504,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_515,c_514]) ).
tcf(c_330505,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(X1,X2)))
| m1_subset_1(sK25(X0,k1_zfmisc_1(k4_xboole_0(X1,X2))),X0)
| ~ r1_tarski(X0,k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2))) ),
inference(superposition,[status(thm)],[c_515,c_323864]) ).
tcf(c_330507,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),X1),
inference(superposition,[status(thm)],[c_515,c_326440]) ).
tcf(c_330508,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r1_tarski(k2_xboole_0(k1_zfmisc_1(k2_xboole_0(X0,X1)),X2),X1),
inference(superposition,[status(thm)],[c_515,c_326441]) ).
tcf(c_330509,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r1_tarski(k2_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),X2),X1),
inference(superposition,[status(thm)],[c_515,c_327177]) ).
tcf(c_330510,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r1_tarski(k2_tarski(X0,k1_zfmisc_1(k2_xboole_0(X1,X2))),X2),
inference(superposition,[status(thm)],[c_515,c_327182]) ).
tcf(c_330511,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r1_tarski(k2_xboole_0(X0,k1_zfmisc_1(k2_xboole_0(X1,X2))),X2),
inference(superposition,[status(thm)],[c_515,c_327403]) ).
tcf(c_330512,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1))),X1),
inference(superposition,[status(thm)],[c_515,c_329952]) ).
tcf(c_330541,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_528,c_196]) ).
tcf(c_330542,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK47(k2_xboole_0(X1,X2)),k2_xboole_0(X1,X2))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_528,c_192]) ).
tcf(c_330543,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X2,X0)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_191]) ).
tcf(c_330544,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_528,c_186]) ).
tcf(c_330545,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X1,X2))
| ~ r2_hidden(sK28(X0,k2_xboole_0(X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_528,c_102]) ).
tcf(c_330547,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_xboole_0(k2_xboole_0(X0,X1),X2),X0),
inference(superposition,[status(thm)],[c_528,c_326291]) ).
tcf(c_330548,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_tarski(k2_xboole_0(X0,X1),X2),X0),
inference(superposition,[status(thm)],[c_528,c_326674]) ).
tcf(c_330549,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_tarski(X0,k2_xboole_0(X1,X2)),X1),
inference(superposition,[status(thm)],[c_528,c_326675]) ).
tcf(c_330550,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(k1_numbers,X0)
| ~ v1_xreal_0(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_528,c_326676]) ).
tcf(c_330551,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_xboole_0(X0,k2_xboole_0(X1,X2)),X1),
inference(superposition,[status(thm)],[c_528,c_327043]) ).
tcf(c_330552,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k2_xboole_0(X0,X1)),X0),
inference(superposition,[status(thm)],[c_528,c_329886]) ).
tcf(c_330553,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_330547,c_521,c_524]) ).
tcf(c_330576,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_529,c_196]) ).
tcf(c_330577,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK47(k2_xboole_0(X2,X1)),k2_xboole_0(X2,X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_529,c_192]) ).
tcf(c_330578,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X2,X1)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_529,c_191]) ).
tcf(c_330579,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_529,c_186]) ).
tcf(c_330580,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X1,X2))
| ~ r2_hidden(sK28(X0,k2_xboole_0(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_529,c_102]) ).
tcf(c_330583,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_tarski(k2_xboole_0(X0,X1),X2),X1),
inference(superposition,[status(thm)],[c_529,c_326674]) ).
tcf(c_330584,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_tarski(X0,k2_xboole_0(X1,X2)),X2),
inference(superposition,[status(thm)],[c_529,c_326675]) ).
tcf(c_330585,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(k1_numbers,X1)
| ~ v1_xreal_0(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_529,c_326676]) ).
tcf(c_330586,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_xboole_0(X0,k2_xboole_0(X1,X2)),X2),
inference(superposition,[status(thm)],[c_529,c_327043]) ).
tcf(c_330587,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k2_xboole_0(X0,X1)),X1),
inference(superposition,[status(thm)],[c_529,c_329886]) ).
tcf(c_330606,plain,
v1_xreal_0(sK432(k1_numbers)),
inference(global_subsumption_just,[status(thm)],[c_328554,c_228327,c_243734,c_243915,c_247621]) ).
tcf(c_330608,plain,
v1_xcmplx_0(sK432(k1_numbers)),
inference(superposition,[status(thm)],[c_330606,c_1811]) ).
tcf(c_330609,plain,
v1_xreal_0(sK433(k1_numbers)),
inference(global_subsumption_just,[status(thm)],[c_328573,c_228347,c_243734,c_243915,c_247621]) ).
tcf(c_330611,plain,
v1_xcmplx_0(sK433(k1_numbers)),
inference(superposition,[status(thm)],[c_330609,c_1811]) ).
tcf(c_330616,plain,
( v1_membered(k3_tarski(k5_finsub_1(np__0)))
| m1_subset_1(np__0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_327546,c_328597]) ).
tcf(c_330618,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| v1_xboole_0(sK47(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_328597,c_190]) ).
tcf(c_330621,plain,
! [X0: $i] :
( v1_membered(k3_tarski(k5_finsub_1(X0)))
| v1_finset_1(sK47(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_328597,c_860]) ).
tcf(c_330622,plain,
! [X0: $i] :
( v1_membered(k3_tarski(k5_finsub_1(X0)))
| r1_tarski(sK47(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_328597,c_93114]) ).
tcf(c_330641,plain,
~ v1_xreal_0(k2_tarski(k1_numbers,k1_numbers)),
inference(superposition,[status(thm)],[c_327052,c_328626]) ).
tcf(c_330642,plain,
v1_xreal_0(sK434(k1_numbers)),
inference(global_subsumption_just,[status(thm)],[c_328661,c_228367,c_243734,c_243915,c_247621]) ).
tcf(c_330644,plain,
v1_xcmplx_0(sK434(k1_numbers)),
inference(superposition,[status(thm)],[c_330642,c_1811]) ).
tcf(c_330645,plain,
v1_xreal_0(sK435(k1_numbers)),
inference(global_subsumption_just,[status(thm)],[c_328680,c_228387,c_243734,c_243915,c_247621]) ).
tcf(c_330647,plain,
v1_xcmplx_0(sK435(k1_numbers)),
inference(superposition,[status(thm)],[c_330645,c_1811]) ).
tcf(c_330648,plain,
v1_xreal_0(sK436(k1_numbers)),
inference(global_subsumption_just,[status(thm)],[c_328699,c_228473,c_243734,c_243915,c_247621]) ).
tcf(c_330650,plain,
v1_xcmplx_0(sK436(k1_numbers)),
inference(superposition,[status(thm)],[c_330648,c_1811]) ).
tcf(c_330672,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_812,c_70]) ).
tcf(c_330673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_812,c_69]) ).
tcf(c_330674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,k4_xboole_0(X0,X3))
| m1_subset_1(sK25(X2,k4_xboole_0(X0,X3)),X2)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_812,c_97752]) ).
tcf(c_330675,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_812,c_95]) ).
tcf(c_330676,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_812,c_326348]) ).
tcf(c_330677,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_812,c_326347]) ).
tcf(c_330678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k4_xboole_0(X0,X3),k1_zfmisc_1(k4_xboole_0(X1,X2)))
| m1_subset_1(sK25(k4_xboole_0(X0,X3),k1_zfmisc_1(k4_xboole_0(X1,X2))),k4_xboole_0(X0,X3))
| ~ r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2)))) ),
inference(superposition,[status(thm)],[c_812,c_323864]) ).
tcf(c_330701,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| r2_hidden(sK28(k4_xboole_0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_103,c_830]) ).
tcf(c_330702,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK41(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_167,c_830]) ).
tcf(c_330703,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,X1))
| r2_hidden(sK72(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_337,c_830]) ).
tcf(c_330704,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,X1))
| r2_hidden(sK73(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_338,c_830]) ).
tcf(c_330705,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK118(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_558,c_830]) ).
tcf(c_330706,plain,
! [X0: $i,X1: $i] :
( sP0(k4_xboole_0(X0,X1))
| v1_funct_1(k4_xboole_0(X0,X1))
| r2_hidden(sK124(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_569,c_830]) ).
tcf(c_330707,plain,
! [X0: $i,X1: $i] :
( sP0(k4_xboole_0(X0,X1))
| v1_relat_1(k4_xboole_0(X0,X1))
| r2_hidden(sK124(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_567,c_830]) ).
tcf(c_330708,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| r2_hidden(sK137(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_587,c_830]) ).
tcf(c_330710,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK355(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1803,c_830]) ).
tcf(c_330711,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK402(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_2041,c_830]) ).
tcf(c_330712,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK432(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_2378,c_830]) ).
tcf(c_330713,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK433(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_2380,c_830]) ).
tcf(c_330714,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK434(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_2382,c_830]) ).
tcf(c_330715,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK435(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_2384,c_830]) ).
tcf(c_330716,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK436(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_2386,c_830]) ).
tcf(c_330717,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK437(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_2388,c_830]) ).
tcf(c_330718,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k4_xboole_0(X0,X1),X2)
| r2_hidden(sK439(k4_xboole_0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_2439,c_830]) ).
tcf(c_330719,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X1,X2))
| r2_hidden(sK439(X0,k4_xboole_0(X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_2440,c_830]) ).
tcf(c_330720,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k4_xboole_0(X0,X1)))
| r2_hidden(sK441(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_2459,c_830]) ).
tcf(c_330721,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r2_hidden(sK47(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_329782,c_830]) ).
tcf(c_330723,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k4_xboole_0(X0,X1)))
| r2_hidden(sK47(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_326636,c_830]) ).
tcf(c_330724,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK47(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_328340,c_830]) ).
tcf(c_330725,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| r2_hidden(sK47(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_326624,c_830]) ).
tcf(c_330726,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK47(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_326635,c_830]) ).
tcf(c_330727,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK47(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_326634,c_830]) ).
tcf(c_330728,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| r2_hidden(sK47(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_326629,c_830]) ).
tcf(c_330729,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,X1))
| r2_hidden(sK47(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_326627,c_830]) ).
tcf(c_330730,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r2_hidden(sK29(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_329379,c_830]) ).
tcf(c_330797,plain,
v1_xreal_0(sK437(k1_numbers)),
inference(global_subsumption_just,[status(thm)],[c_328718,c_228493,c_243734,c_243915,c_247621]) ).
tcf(c_330799,plain,
v1_xcmplx_0(sK437(k1_numbers)),
inference(superposition,[status(thm)],[c_330797,c_1811]) ).
tcf(c_330815,plain,
! [X0: $i] :
( r2_hidden(np__0,X0)
| r1_xboole_0(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_328817,c_2434]) ).
tcf(c_330824,plain,
! [X0: $i] :
( r2_hidden(np__1,X0)
| r1_xboole_0(X0,k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_328818,c_2434]) ).
tcf(c_330829,plain,
! [X0: $i] : m1_subset_1(sK47(k2_tarski(k5_finsub_1(np__0),X0)),k2_tarski(k5_finsub_1(np__0),X0)),
inference(superposition,[status(thm)],[c_328348,c_328844]) ).
tcf(c_330830,plain,
! [X0: $i] : r2_hidden(sK47(k2_tarski(k5_finsub_1(np__0),X0)),k2_tarski(k5_finsub_1(np__0),X0)),
inference(superposition,[status(thm)],[c_326624,c_328844]) ).
tcf(c_330831,plain,
! [X0: $i] : ~ v1_xboole_0(k2_tarski(k5_finsub_1(np__0),X0)),
inference(superposition,[status(thm)],[c_326591,c_328844]) ).
tcf(c_330835,plain,
! [X0: $i] : m1_subset_1(sK47(k2_tarski(X0,k5_finsub_1(np__0))),k2_tarski(X0,k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_328348,c_328849]) ).
tcf(c_330836,plain,
! [X0: $i] : r2_hidden(sK47(k2_tarski(X0,k5_finsub_1(np__0))),k2_tarski(X0,k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_326624,c_328849]) ).
tcf(c_330837,plain,
! [X0: $i] : ~ v1_xboole_0(k2_tarski(X0,k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_326591,c_328849]) ).
tcf(c_330853,plain,
! [X0: $i] : r2_hidden(sK47(k2_tarski(X0,X0)),k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_328923,c_2398]) ).
tcf(c_330857,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ~ r2_hidden(X0,sK47(X0)) ),
inference(superposition,[status(thm)],[c_328923,c_196]) ).
tcf(c_330860,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| m1_subset_1(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_328923,c_186]) ).
tcf(c_330863,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k4_xboole_0(X0,X1),X2)
| r2_hidden(sK47(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_328923,c_830]) ).
tcf(c_330875,plain,
! [X0: $i] :
( r1_xboole_0(k1_numbers,X0)
| v1_xcmplx_0(sK439(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_328928,c_1811]) ).
tcf(c_330889,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_789,c_859]) ).
tcf(c_330890,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_837,c_859]) ).
tcf(c_330891,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_324289,c_859]) ).
tcf(c_330892,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_839,c_859]) ).
tcf(c_330893,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_324374,c_859]) ).
tcf(c_330894,plain,
k1_zfmisc_1(sK205) = k5_finsub_1(sK205),
inference(superposition,[status(thm)],[c_843,c_859]) ).
tcf(c_330895,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_zfmisc_1(sK207(X0)) = k5_finsub_1(sK207(X0)) ) ),
inference(superposition,[status(thm)],[c_853,c_859]) ).
tcf(c_330896,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_865,c_859]) ).
tcf(c_330897,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_zfmisc_1(sK210(X0)) = k5_finsub_1(sK210(X0)) ) ),
inference(superposition,[status(thm)],[c_875,c_859]) ).
tcf(c_330898,plain,
! [X0: $i,X1: $i] : k1_zfmisc_1(k2_tarski(X0,X1)) = k5_finsub_1(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_881,c_859]) ).
tcf(c_330899,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_zfmisc_1(sK211(X0)) = k5_finsub_1(sK211(X0)) ) ),
inference(superposition,[status(thm)],[c_884,c_859]) ).
tcf(c_330900,plain,
k1_zfmisc_1(sK212) = k5_finsub_1(sK212),
inference(superposition,[status(thm)],[c_889,c_859]) ).
tcf(c_330901,plain,
k1_zfmisc_1(sK413) = k5_finsub_1(sK413),
inference(superposition,[status(thm)],[c_2210,c_859]) ).
tcf(c_330902,plain,
! [X0: $i] : k1_zfmisc_1(sK414(X0)) = k5_finsub_1(sK414(X0)),
inference(superposition,[status(thm)],[c_2215,c_859]) ).
tcf(c_330904,plain,
k1_zfmisc_1(sK29(k5_numbers)) = k5_finsub_1(sK29(k5_numbers)),
inference(superposition,[status(thm)],[c_324663,c_859]) ).
tcf(c_330905,plain,
k1_zfmisc_1(k5_finsub_1(np__0)) = k5_finsub_1(k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_324881,c_859]) ).
tcf(c_330906,plain,
! [X0: $i] : k1_zfmisc_1(sK29(k5_finsub_1(X0))) = k5_finsub_1(sK29(k5_finsub_1(X0))),
inference(superposition,[status(thm)],[c_325364,c_859]) ).
tcf(c_330907,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| ( k1_zfmisc_1(sK72(k5_finsub_1(X0))) = k5_finsub_1(sK72(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_325460,c_859]) ).
tcf(c_330908,plain,
( v1_realset1(k5_numbers)
| ( k1_zfmisc_1(sK72(k5_numbers)) = k5_finsub_1(sK72(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_325466,c_859]) ).
tcf(c_330909,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| ( k1_zfmisc_1(sK73(k5_finsub_1(X0))) = k5_finsub_1(sK73(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_325531,c_859]) ).
tcf(c_330910,plain,
( v1_realset1(k5_numbers)
| ( k1_zfmisc_1(sK73(k5_numbers)) = k5_finsub_1(sK73(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_325537,c_859]) ).
tcf(c_330911,plain,
k1_zfmisc_1(k2_finseq_1(np__1)) = k5_finsub_1(k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_325613,c_859]) ).
tcf(c_330912,plain,
k1_zfmisc_1(k2_finseq_1(np__2)) = k5_finsub_1(k2_finseq_1(np__2)),
inference(superposition,[status(thm)],[c_325629,c_859]) ).
tcf(c_330913,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| ( k1_zfmisc_1(sK137(k5_finsub_1(X0))) = k5_finsub_1(sK137(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_325581,c_859]) ).
tcf(c_330914,plain,
( v1_relat_1(k5_numbers)
| ( k1_zfmisc_1(sK137(k5_numbers)) = k5_finsub_1(sK137(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_325587,c_859]) ).
tcf(c_330915,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| ( k1_zfmisc_1(sK355(k5_finsub_1(X0))) = k5_finsub_1(sK355(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_325712,c_859]) ).
tcf(c_330916,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| ( k1_zfmisc_1(sK402(k5_finsub_1(X0))) = k5_finsub_1(sK402(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_325779,c_859]) ).
tcf(c_330917,plain,
! [X0: $i] :
( ( k1_zfmisc_1(sK204(X0)) = k5_finsub_1(sK204(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_327515,c_859]) ).
tcf(c_330918,plain,
! [X0: $i] :
( v2_membered(k5_finsub_1(X0))
| ( k1_zfmisc_1(sK47(k5_finsub_1(X0))) = k5_finsub_1(sK47(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_328473,c_859]) ).
tcf(c_330919,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| ( k1_zfmisc_1(sK47(k5_finsub_1(X0))) = k5_finsub_1(sK47(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_327486,c_859]) ).
tcf(c_330920,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| ( k1_zfmisc_1(sK47(k5_finsub_1(X0))) = k5_finsub_1(sK47(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_327385,c_859]) ).
tcf(c_330921,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| ( k1_zfmisc_1(sK47(k5_finsub_1(X0))) = k5_finsub_1(sK47(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_327297,c_859]) ).
tcf(c_330922,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| ( k1_zfmisc_1(sK47(k5_finsub_1(X0))) = k5_finsub_1(sK47(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_327251,c_859]) ).
tcf(c_330923,plain,
k1_zfmisc_1(sK47(k5_numbers)) = k5_finsub_1(sK47(k5_numbers)),
inference(superposition,[status(thm)],[c_327290,c_859]) ).
tcf(c_330924,plain,
! [X0: $i] :
( ( k1_zfmisc_1(sK403(X0)) = k5_finsub_1(sK403(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_328405,c_859]) ).
tcf(c_330925,plain,
! [X0: $i] :
( ( k1_zfmisc_1(sK29(X0)) = k5_finsub_1(sK29(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329965,c_859]) ).
tcf(c_330926,plain,
k1_zfmisc_1(sK25(k5_numbers,np__0)) = k5_finsub_1(sK25(k5_numbers,np__0)),
inference(superposition,[status(thm)],[c_327838,c_859]) ).
tcf(c_330978,plain,
~ r1_tarski(k5_finsub_1(k5_finsub_1(np__0)),np__0),
inference(demodulation,[status(thm)],[c_330012,c_330905]) ).
tcf(c_330985,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| m1_subset_1(sK47(X1),X1)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_328348,c_872]) ).
tcf(c_330986,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| r2_hidden(sK47(X1),X1)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_326624,c_872]) ).
tcf(c_330987,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_326591,c_872]) ).
tcf(c_330988,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_90,c_872]) ).
tcf(c_330991,plain,
! [X0: $i] :
( v1_finset_1(k2_tarski(X0,X0))
| ~ v1_finset_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_263,c_872]) ).
tcf(c_330992,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_281,c_872]) ).
tcf(c_330993,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_483,c_872]) ).
tcf(c_330994,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k4_xboole_0(X0,k4_xboole_0(X0,X2)))
| ~ v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_502,c_872]) ).
tcf(c_330995,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_515,c_872]) ).
tcf(c_330996,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_518,c_872]) ).
tcf(c_330997,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_812,c_872]) ).
tcf(c_330999,plain,
! [X0: $i] :
( v1_finset_1(k5_finsub_1(X0))
| ~ v1_finset_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_920,c_872]) ).
tcf(c_331000,plain,
( v1_finset_1(k5_numbers)
| ~ v1_finset_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_1091,c_872]) ).
tcf(c_331003,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(X0,X0))
| ~ v1_finset_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1425,c_872]) ).
tcf(c_331004,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(X1,X1))
| ~ v1_finset_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1408,c_872]) ).
tcf(c_331005,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_2269,c_872]) ).
tcf(c_331006,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_finset_1(k7_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_finset_1(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_326375,c_872]) ).
tcf(c_331007,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK53(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_326377,c_872]) ).
tcf(c_331008,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ~ v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_326993,c_872]) ).
tcf(c_331012,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_zfmisc_1(k4_xboole_0(X0,X1)))
| ~ v1_finset_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))) ),
inference(superposition,[status(thm)],[c_33271,c_872]) ).
tcf(c_331013,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| ~ v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_34474,c_872]) ).
tcf(c_331014,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| v1_finset_1(sK26(k5_finsub_1(X1),X2,X0))
| ~ v1_finset_1(X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323884,c_872]) ).
tcf(c_331015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| v1_finset_1(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))))
| ~ v1_finset_1(X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323943,c_872]) ).
tcf(c_331017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| v1_finset_1(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))))
| ~ v1_finset_1(X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_327049,c_872]) ).
tcf(c_331018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| v1_finset_1(sK25(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2)))
| ~ v1_finset_1(X0)
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_324241,c_872]) ).
tcf(c_331019,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| v1_finset_1(sK25(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))))
| ~ v1_finset_1(X0)
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_324474,c_872]) ).
tcf(c_331028,plain,
( v1_finset_1(k2_tarski(np__2,np__2))
| ~ v1_finset_1(k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_325630,c_872]) ).
tcf(c_331030,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_xboole_0(X1,X0))
| ~ v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_326816,c_872]) ).
tcf(c_331031,plain,
! [X0: $i] :
( v1_finset_1(sK29(k1_zfmisc_1(X0)))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_326374,c_872]) ).
tcf(c_331032,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| v1_finset_1(sK26(k1_zfmisc_1(X1),X2,X0))
| ~ v1_finset_1(X1)
| ~ r1_tarski(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_326381,c_872]) ).
tcf(c_331033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| v1_finset_1(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))))
| ~ v1_finset_1(X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_326382,c_872]) ).
tcf(c_331034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| v1_finset_1(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))))
| ~ v1_finset_1(X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_326383,c_872]) ).
tcf(c_331035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| v1_finset_1(sK25(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2)))
| ~ v1_finset_1(X0)
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_326385,c_872]) ).
tcf(c_331036,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| v1_finset_1(sK28(k1_zfmisc_1(X0),X1))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_326593,c_872]) ).
tcf(c_331037,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| v1_finset_1(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_330258,c_872]) ).
tcf(c_331038,plain,
! [X0: $i] :
( v1_finset_1(sK47(k1_zfmisc_1(X0)))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_328444,c_872]) ).
tcf(c_331039,plain,
! [X0: $i] :
( v1_finset_1(sK25(k1_zfmisc_1(X0),np__0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_328139,c_872]) ).
tcf(c_331041,plain,
~ v1_finset_1(k1_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_331000,c_832]) ).
tcf(c_331155,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(X0,np__0))
| ~ v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_492,c_878]) ).
tcf(c_331156,plain,
! [X0: $i] :
( v1_finset_1(k4_xboole_0(np__0,np__0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_824,c_878]) ).
tcf(c_331157,plain,
! [X0: $i] :
( v1_finset_1(k4_xboole_0(X0,X0))
| ~ v1_finset_1(np__0) ),
inference(superposition,[status(thm)],[c_825,c_878]) ).
tcf(c_331158,plain,
! [X0: $i] :
( v1_finset_1(k4_xboole_0(X0,np__0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_30376,c_878]) ).
tcf(c_331159,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(k4_xboole_0(X1,k4_xboole_0(X1,X0))) = k5_finsub_1(k4_xboole_0(X1,k4_xboole_0(X1,X0))) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_878,c_859]) ).
tcf(c_331167,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(X0),k5_finsub_1(sK205))
| ~ r1_tarski(X0,sK205) ),
inference(superposition,[status(thm)],[c_330894,c_90]) ).
tcf(c_331168,plain,
! [X0: $i] : ~ r1_tarski(k2_xboole_0(X0,k5_finsub_1(sK205)),sK205),
inference(superposition,[status(thm)],[c_330894,c_327403]) ).
tcf(c_331169,plain,
! [X0: $i] : ~ r1_tarski(k2_tarski(X0,k5_finsub_1(sK205)),sK205),
inference(superposition,[status(thm)],[c_330894,c_327182]) ).
tcf(c_331170,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(X0,k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_330894,c_328301]) ).
tcf(c_331171,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_tarski(sK26(k5_finsub_1(sK205),X0,X1),sK205)
| ~ r1_tarski(X1,k1_zfmisc_1(sK205))
| ~ r1_tarski(X0,k1_zfmisc_1(sK205)) ),
inference(superposition,[status(thm)],[c_330894,c_326381]) ).
tcf(c_331172,plain,
! [X0: $i] :
( r1_tarski(X0,sK205)
| ~ r2_hidden(X0,k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_330894,c_94]) ).
tcf(c_331173,plain,
! [X0: $i] :
( r2_hidden(X0,k5_finsub_1(sK205))
| ~ r1_tarski(X0,sK205) ),
inference(superposition,[status(thm)],[c_330894,c_93]) ).
tcf(c_331174,plain,
! [X0: $i] :
( r1_tarski(X0,sK205)
| ~ m1_subset_1(X0,k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_330894,c_72]) ).
tcf(c_331175,plain,
! [X0: $i] :
( m1_subset_1(X0,k5_finsub_1(sK205))
| ~ r1_tarski(X0,sK205) ),
inference(superposition,[status(thm)],[c_330894,c_71]) ).
tcf(c_331176,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(sK205,X1)))
| m1_subset_1(sK25(X0,k1_zfmisc_1(k4_xboole_0(sK205,X1))),X0)
| ~ r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k5_finsub_1(sK205),k1_zfmisc_1(X1)))) ),
inference(superposition,[status(thm)],[c_330894,c_323864]) ).
tcf(c_331177,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,sK205)),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k5_finsub_1(sK205)))),
inference(superposition,[status(thm)],[c_330894,c_33271]) ).
tcf(c_331178,plain,
~ r2_hidden(k5_finsub_1(sK205),sK47(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_330894,c_328440]) ).
tcf(c_331179,plain,
~ r1_tarski(k1_zfmisc_1(k5_finsub_1(sK205)),sK205),
inference(superposition,[status(thm)],[c_330894,c_329952]) ).
tcf(c_331180,plain,
~ r2_hidden(k5_finsub_1(sK205),sK205),
inference(superposition,[status(thm)],[c_330894,c_329886]) ).
tcf(c_331181,plain,
r2_hidden(np__0,k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_330894,c_329441]) ).
tcf(c_331182,plain,
~ r2_hidden(sK205,sK25(k5_finsub_1(sK205),np__0)),
inference(superposition,[status(thm)],[c_330894,c_328142]) ).
tcf(c_331183,plain,
~ r2_hidden(k5_finsub_1(sK205),k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_330894,c_329304]) ).
tcf(c_331184,plain,
r1_tarski(k5_finsub_1(np__0),k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_330894,c_329271]) ).
tcf(c_331185,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(sK205),k1_zfmisc_1(X0))
| ~ r1_tarski(sK205,X0) ),
inference(superposition,[status(thm)],[c_330894,c_90]) ).
tcf(c_331186,plain,
! [X0: $i] : ~ r1_tarski(k2_tarski(k5_finsub_1(sK205),X0),sK205),
inference(superposition,[status(thm)],[c_330894,c_327177]) ).
tcf(c_331187,plain,
~ r2_hidden(k1_card_1(k5_finsub_1(sK205)),k1_card_1(sK205)),
inference(superposition,[status(thm)],[c_330894,c_326673]) ).
tcf(c_331188,plain,
~ r2_hidden(sK205,sK47(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_330894,c_328446]) ).
tcf(c_331189,plain,
m1_subset_1(sK47(k5_finsub_1(sK205)),k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_330894,c_328443]) ).
tcf(c_331190,plain,
r1_tarski(sK47(k5_finsub_1(sK205)),sK205),
inference(superposition,[status(thm)],[c_330894,c_328444]) ).
tcf(c_331191,plain,
r2_hidden(sK47(k5_finsub_1(sK205)),k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_330894,c_328343]) ).
tcf(c_331192,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(sK205),X0)
| r1_tarski(sK28(k5_finsub_1(sK205),X0),sK205) ),
inference(superposition,[status(thm)],[c_330894,c_326593]) ).
tcf(c_331193,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(k5_finsub_1(sK205),X0)),
inference(superposition,[status(thm)],[c_330894,c_328292]) ).
tcf(c_331194,plain,
! [X0: $i] : ~ r1_tarski(k2_xboole_0(k5_finsub_1(sK205),X0),sK205),
inference(superposition,[status(thm)],[c_330894,c_326441]) ).
tcf(c_331195,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r1_tarski(k1_zfmisc_1(sK205),sK26(k5_finsub_1(X1),X0,X2))
| r1_tarski(sK25(k5_finsub_1(sK205),sK26(k5_finsub_1(X1),X0,X2)),sK205)
| ~ r1_tarski(k1_zfmisc_1(sK205),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_330894,c_326385]) ).
tcf(c_331196,plain,
~ r2_hidden(k5_finsub_1(sK205),k2_tarski(sK205,sK205)),
inference(superposition,[status(thm)],[c_330894,c_326289]) ).
tcf(c_331197,plain,
r1_tarski(sK25(k5_finsub_1(sK205),np__0),sK205),
inference(superposition,[status(thm)],[c_330894,c_328139]) ).
tcf(c_331198,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(sK205),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k5_finsub_1(sK205),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),sK205)
| ~ r1_tarski(k1_zfmisc_1(sK205),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_330894,c_326383]) ).
tcf(c_331199,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(sK205),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(sK205),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK205)
| ~ r1_tarski(k1_zfmisc_1(sK205),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_330894,c_326382]) ).
tcf(c_331200,plain,
~ r2_hidden(sK205,sK29(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_330894,c_326502]) ).
tcf(c_331201,plain,
~ r1_tarski(k5_finsub_1(sK205),sK205),
inference(superposition,[status(thm)],[c_330894,c_326440]) ).
tcf(c_331202,plain,
r1_tarski(sK29(k5_finsub_1(sK205)),sK205),
inference(superposition,[status(thm)],[c_330894,c_326374]) ).
tcf(c_331203,plain,
~ r2_hidden(k5_finsub_1(sK205),k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_330894,c_326293]) ).
tcf(c_331204,plain,
m1_subset_1(k1_card_1(sK205),k1_card_1(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_330894,c_325144]) ).
tcf(c_331205,plain,
( v1_xboole_0(sK205)
| m1_subset_1(sK211(sK205),k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_330894,c_882]) ).
tcf(c_331206,plain,
( v1_xboole_0(sK205)
| m1_subset_1(sK210(sK205),k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_330894,c_873]) ).
tcf(c_331207,plain,
~ v1_xboole_0(k1_card_1(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_330894,c_325170]) ).
tcf(c_331208,plain,
( v1_xboole_0(sK205)
| m1_subset_1(sK53(sK205),k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_330894,c_211]) ).
tcf(c_331209,plain,
r2_hidden(k1_card_1(sK205),k1_card_1(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_330894,c_1301]) ).
tcf(c_331210,plain,
( v1_finset_1(k5_finsub_1(sK205))
| ~ v1_finset_1(sK205) ),
inference(superposition,[status(thm)],[c_330894,c_865]) ).
tcf(c_331212,plain,
r1_tarski(k2_tarski(sK205,sK205),k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_330894,c_263]) ).
tcf(c_331213,plain,
r1_tarski(k5_finsub_1(sK205),k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_330894,c_920]) ).
tcf(c_331214,plain,
~ v1_xboole_0(k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_330894,c_213]) ).
tcf(c_331215,plain,
m1_subset_1(np__0,k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_330894,c_157]) ).
tcf(c_331216,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(sK205,X0)),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k5_finsub_1(sK205),k1_zfmisc_1(X0)))),
inference(superposition,[status(thm)],[c_330894,c_33271]) ).
tcf(c_331217,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(X1,sK205)))
| m1_subset_1(sK25(X0,k1_zfmisc_1(k4_xboole_0(X1,sK205))),X0)
| ~ r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k5_finsub_1(sK205)))) ),
inference(superposition,[status(thm)],[c_330894,c_323864]) ).
tcf(c_331218,plain,
v1_finset_1(k5_finsub_1(sK205)),
inference(forward_subsumption_resolution,[status(thm)],[c_331210,c_843]) ).
tcf(c_331219,plain,
m1_subset_1(sK53(sK205),k5_finsub_1(sK205)),
inference(forward_subsumption_resolution,[status(thm)],[c_331208,c_840]) ).
tcf(c_331220,plain,
m1_subset_1(sK210(sK205),k5_finsub_1(sK205)),
inference(forward_subsumption_resolution,[status(thm)],[c_331206,c_840]) ).
tcf(c_331221,plain,
m1_subset_1(sK211(sK205),k5_finsub_1(sK205)),
inference(forward_subsumption_resolution,[status(thm)],[c_331205,c_840]) ).
tcf(c_331234,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(sK205),X0)
| r1_tarski(sK28(k5_finsub_1(sK205),X0),sK205) ),
inference(light_normalisation,[status(thm)],[c_331192,c_330894]) ).
tcf(c_331237,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_tarski(sK26(k5_finsub_1(sK205),X0,X1),sK205)
| ~ r1_tarski(X1,k5_finsub_1(sK205))
| ~ r1_tarski(X0,k5_finsub_1(sK205)) ),
inference(light_normalisation,[status(thm)],[c_331171,c_330894]) ).
tcf(c_331248,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(sK205),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(sK205),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK205)
| ~ r1_tarski(k5_finsub_1(sK205),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_331199,c_330894]) ).
tcf(c_331252,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(sK205),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k5_finsub_1(sK205),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),sK205)
| ~ r1_tarski(k5_finsub_1(sK205),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_331198,c_330894]) ).
tcf(c_331256,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r1_tarski(k5_finsub_1(sK205),sK26(k5_finsub_1(X1),X0,X2))
| r1_tarski(sK25(k5_finsub_1(sK205),sK26(k5_finsub_1(X1),X0,X2)),sK205)
| ~ r1_tarski(k5_finsub_1(sK205),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(light_normalisation,[status(thm)],[c_331195,c_330894]) ).
tcf(c_331263,plain,
k1_zfmisc_1(k5_finsub_1(sK205)) = k5_finsub_1(k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_331218,c_859]) ).
tcf(c_331264,plain,
~ r2_hidden(k5_finsub_1(sK205),np__0),
inference(superposition,[status(thm)],[c_331181,c_196]) ).
tcf(c_331269,plain,
( v1_relat_1(k5_finsub_1(np__0))
| ~ v1_relat_1(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331184,c_70]) ).
tcf(c_331271,plain,
! [X0: $i] :
( r1_tarski(X0,k5_finsub_1(np__0))
| m1_subset_1(sK25(X0,k5_finsub_1(np__0)),X0)
| ~ r1_tarski(X0,k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331184,c_97752]) ).
tcf(c_331277,plain,
( v1_finset_1(sK47(k5_finsub_1(sK205)))
| ~ v1_finset_1(sK205) ),
inference(superposition,[status(thm)],[c_331190,c_872]) ).
tcf(c_331278,plain,
( v1_relat_1(sK47(k5_finsub_1(sK205)))
| ~ v1_relat_1(sK205) ),
inference(superposition,[status(thm)],[c_331190,c_70]) ).
tcf(c_331280,plain,
! [X0: $i] :
( r1_tarski(X0,sK47(k5_finsub_1(sK205)))
| m1_subset_1(sK25(X0,sK47(k5_finsub_1(sK205))),X0)
| ~ r1_tarski(X0,sK205) ),
inference(superposition,[status(thm)],[c_331190,c_97752]) ).
tcf(c_331281,plain,
v1_relat_1(sK47(k5_finsub_1(sK205))),
inference(forward_subsumption_resolution,[status(thm)],[c_331278,c_841]) ).
tcf(c_331282,plain,
v1_finset_1(sK47(k5_finsub_1(sK205))),
inference(forward_subsumption_resolution,[status(thm)],[c_331277,c_843]) ).
tcf(c_331286,plain,
k1_zfmisc_1(sK47(k5_finsub_1(sK205))) = k5_finsub_1(sK47(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_331282,c_859]) ).
tcf(c_331296,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_922,c_872]) ).
tcf(c_331297,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_922,c_70]) ).
tcf(c_331298,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k5_finsub_1(X0),k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_922,c_69]) ).
tcf(c_331299,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k5_finsub_1(X2))
| m1_subset_1(sK25(X0,k5_finsub_1(X2)),X0)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_922,c_97752]) ).
tcf(c_331317,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,np__0))
| ~ v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_492,c_925]) ).
tcf(c_331318,plain,
! [X0: $i] :
( v1_relat_1(k4_xboole_0(np__0,np__0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_824,c_925]) ).
tcf(c_331319,plain,
! [X0: $i] :
( v1_relat_1(k4_xboole_0(X0,X0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_825,c_925]) ).
tcf(c_331320,plain,
! [X0: $i] :
( v1_relat_1(k4_xboole_0(X0,np__0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_30376,c_925]) ).
tcf(c_331330,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK237(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_1052,c_1059]) ).
tcf(c_331331,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK238(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_1056,c_1059]) ).
tcf(c_331332,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK239(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_1061,c_1059]) ).
tcf(c_331333,plain,
! [X0: $i] : m2_relset_1(sK414(X0),k5_numbers,X0),
inference(superposition,[status(thm)],[c_2212,c_1059]) ).
tcf(c_331338,plain,
! [X0: $i,X1: $i] : m1_relset_1(np__0,X0,X1),
inference(superposition,[status(thm)],[c_145,c_1060]) ).
tcf(c_331339,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK42(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_170,c_1060]) ).
tcf(c_331340,plain,
! [X0: $i,X1: $i] :
( m1_relset_1(X0,k5_numbers,X1)
| ~ m2_finseq_1(X0,X1) ),
inference(superposition,[status(thm)],[c_2194,c_1060]) ).
tcf(c_331345,plain,
( v1_xboole_0(k5_finsub_1(sK205))
| r2_hidden(sK53(sK205),k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331219,c_188]) ).
tcf(c_331346,plain,
v1_finset_1(sK53(sK205)),
inference(superposition,[status(thm)],[c_331219,c_860]) ).
tcf(c_331347,plain,
r1_tarski(sK53(sK205),sK205),
inference(superposition,[status(thm)],[c_331219,c_93114]) ).
tcf(c_331348,plain,
r2_hidden(sK53(sK205),k5_finsub_1(sK205)),
inference(forward_subsumption_resolution,[status(thm)],[c_331345,c_331214]) ).
tcf(c_331349,plain,
k1_zfmisc_1(sK53(sK205)) = k5_finsub_1(sK53(sK205)),
inference(superposition,[status(thm)],[c_331346,c_859]) ).
tcf(c_331351,plain,
( v1_relat_1(sK53(sK205))
| ~ v1_relat_1(sK205) ),
inference(superposition,[status(thm)],[c_331347,c_70]) ).
tcf(c_331352,plain,
~ r2_hidden(sK205,sK53(sK205)),
inference(superposition,[status(thm)],[c_331347,c_69]) ).
tcf(c_331353,plain,
! [X0: $i] :
( r1_tarski(X0,sK53(sK205))
| m1_subset_1(sK25(X0,sK53(sK205)),X0)
| ~ r1_tarski(X0,sK205) ),
inference(superposition,[status(thm)],[c_331347,c_97752]) ).
tcf(c_331354,plain,
v1_relat_1(sK53(sK205)),
inference(forward_subsumption_resolution,[status(thm)],[c_331351,c_841]) ).
tcf(c_331359,plain,
( v1_xboole_0(k5_finsub_1(sK205))
| r2_hidden(sK210(sK205),k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331220,c_188]) ).
tcf(c_331360,plain,
v1_finset_1(sK210(sK205)),
inference(superposition,[status(thm)],[c_331220,c_860]) ).
tcf(c_331361,plain,
r1_tarski(sK210(sK205),sK205),
inference(superposition,[status(thm)],[c_331220,c_93114]) ).
tcf(c_331362,plain,
r2_hidden(sK210(sK205),k5_finsub_1(sK205)),
inference(forward_subsumption_resolution,[status(thm)],[c_331359,c_331214]) ).
tcf(c_331363,plain,
k1_zfmisc_1(sK210(sK205)) = k5_finsub_1(sK210(sK205)),
inference(superposition,[status(thm)],[c_331360,c_859]) ).
tcf(c_331365,plain,
( v1_relat_1(sK210(sK205))
| ~ v1_relat_1(sK205) ),
inference(superposition,[status(thm)],[c_331361,c_70]) ).
tcf(c_331366,plain,
~ r2_hidden(sK205,sK210(sK205)),
inference(superposition,[status(thm)],[c_331361,c_69]) ).
tcf(c_331367,plain,
! [X0: $i] :
( r1_tarski(X0,sK210(sK205))
| m1_subset_1(sK25(X0,sK210(sK205)),X0)
| ~ r1_tarski(X0,sK205) ),
inference(superposition,[status(thm)],[c_331361,c_97752]) ).
tcf(c_331368,plain,
v1_relat_1(sK210(sK205)),
inference(forward_subsumption_resolution,[status(thm)],[c_331365,c_841]) ).
tcf(c_331373,plain,
( v1_xboole_0(k5_finsub_1(sK205))
| r2_hidden(sK211(sK205),k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331221,c_188]) ).
tcf(c_331374,plain,
v1_finset_1(sK211(sK205)),
inference(superposition,[status(thm)],[c_331221,c_860]) ).
tcf(c_331375,plain,
r1_tarski(sK211(sK205),sK205),
inference(superposition,[status(thm)],[c_331221,c_93114]) ).
tcf(c_331376,plain,
r2_hidden(sK211(sK205),k5_finsub_1(sK205)),
inference(forward_subsumption_resolution,[status(thm)],[c_331373,c_331214]) ).
tcf(c_331377,plain,
k1_zfmisc_1(sK211(sK205)) = k5_finsub_1(sK211(sK205)),
inference(superposition,[status(thm)],[c_331374,c_859]) ).
tcf(c_331379,plain,
( v1_relat_1(sK211(sK205))
| ~ v1_relat_1(sK205) ),
inference(superposition,[status(thm)],[c_331375,c_70]) ).
tcf(c_331380,plain,
~ r2_hidden(sK205,sK211(sK205)),
inference(superposition,[status(thm)],[c_331375,c_69]) ).
tcf(c_331381,plain,
! [X0: $i] :
( r1_tarski(X0,sK211(sK205))
| m1_subset_1(sK25(X0,sK211(sK205)),X0)
| ~ r1_tarski(X0,sK205) ),
inference(superposition,[status(thm)],[c_331375,c_97752]) ).
tcf(c_331382,plain,
v1_relat_1(sK211(sK205)),
inference(forward_subsumption_resolution,[status(thm)],[c_331379,c_841]) ).
tcf(c_331386,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),X2)
| r1_tarski(sK25(k1_zfmisc_1(X0),X2),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(demodulation,[status(thm)],[c_327855,c_492,c_825]) ).
tcf(c_331400,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| r1_tarski(sK25(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_518,c_331386]) ).
tcf(c_331423,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(np__0,sK39(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_149,c_1271]) ).
tcf(c_331424,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(np__0,sK38(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_151,c_1271]) ).
tcf(c_331425,plain,
k5_relat_1(np__0,np__0) = np__0,
inference(superposition,[status(thm)],[c_2204,c_1271]) ).
tcf(c_331426,plain,
k5_relat_1(np__0,sK44) = np__0,
inference(superposition,[status(thm)],[c_174,c_1271]) ).
tcf(c_331427,plain,
k5_relat_1(np__0,sK45) = np__0,
inference(superposition,[status(thm)],[c_177,c_1271]) ).
tcf(c_331428,plain,
! [X0: $i,X1: $i] : k5_relat_1(np__0,k2_zfmisc_1(X0,X1)) = np__0,
inference(superposition,[status(thm)],[c_225,c_1271]) ).
tcf(c_331429,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(np__0,sK58(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_244,c_1271]) ).
tcf(c_331430,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(np__0,sK89(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_407,c_1271]) ).
tcf(c_331431,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,k1_relat_1(X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_434,c_1271]) ).
tcf(c_331432,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,k2_relat_1(X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_551,c_1271]) ).
tcf(c_331433,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_792,c_1271]) ).
tcf(c_331434,plain,
k5_relat_1(np__0,sK205) = np__0,
inference(superposition,[status(thm)],[c_841,c_1271]) ).
tcf(c_331435,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(np__0,k4_xboole_0(X1,k4_xboole_0(X1,X0))) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_925,c_1271]) ).
tcf(c_331436,plain,
! [X0: $i,X1: $i] : k5_relat_1(np__0,sK237(X0,X1)) = np__0,
inference(superposition,[status(thm)],[c_1053,c_1271]) ).
tcf(c_331437,plain,
! [X0: $i,X1: $i] : k5_relat_1(np__0,sK238(X0,X1)) = np__0,
inference(superposition,[status(thm)],[c_1057,c_1271]) ).
tcf(c_331440,plain,
k5_relat_1(np__0,sK293) = np__0,
inference(superposition,[status(thm)],[c_1365,c_1271]) ).
tcf(c_331441,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,sK412(X0)) = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2196,c_1271]) ).
tcf(c_331442,plain,
k5_relat_1(np__0,sK413) = np__0,
inference(superposition,[status(thm)],[c_2208,c_1271]) ).
tcf(c_331443,plain,
! [X0: $i] : k5_relat_1(np__0,sK414(X0)) = np__0,
inference(superposition,[status(thm)],[c_2213,c_1271]) ).
tcf(c_331444,plain,
k5_relat_1(np__0,sK415) = np__0,
inference(superposition,[status(thm)],[c_2218,c_1271]) ).
tcf(c_331445,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_2240,c_1271]) ).
tcf(c_331446,plain,
! [X0: $i,X1: $i] : k5_relat_1(np__0,sK29(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = np__0,
inference(superposition,[status(thm)],[c_329799,c_1271]) ).
tcf(c_331447,plain,
! [X0: $i,X1: $i] : k5_relat_1(np__0,sK47(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = np__0,
inference(superposition,[status(thm)],[c_329821,c_1271]) ).
tcf(c_331448,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,sK29(X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329968,c_1271]) ).
tcf(c_331449,plain,
k5_relat_1(np__0,sK47(k5_finsub_1(sK205))) = np__0,
inference(superposition,[status(thm)],[c_331281,c_1271]) ).
tcf(c_331450,plain,
k5_relat_1(np__0,sK53(sK205)) = np__0,
inference(superposition,[status(thm)],[c_331354,c_1271]) ).
tcf(c_331451,plain,
k5_relat_1(np__0,sK210(sK205)) = np__0,
inference(superposition,[status(thm)],[c_331368,c_1271]) ).
tcf(c_331482,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(sK39(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_149,c_1272]) ).
tcf(c_331483,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(sK38(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_151,c_1272]) ).
tcf(c_331485,plain,
k5_relat_1(sK44,np__0) = np__0,
inference(superposition,[status(thm)],[c_174,c_1272]) ).
tcf(c_331486,plain,
k5_relat_1(sK45,np__0) = np__0,
inference(superposition,[status(thm)],[c_177,c_1272]) ).
tcf(c_331487,plain,
! [X0: $i,X1: $i] : k5_relat_1(k2_zfmisc_1(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_225,c_1272]) ).
tcf(c_331488,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(sK58(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_244,c_1272]) ).
tcf(c_331489,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(sK89(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_407,c_1272]) ).
tcf(c_331490,plain,
! [X0: $i] :
( ( k5_relat_1(k1_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_434,c_1272]) ).
tcf(c_331491,plain,
! [X0: $i] :
( ( k5_relat_1(k2_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_551,c_1272]) ).
tcf(c_331492,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_792,c_1272]) ).
tcf(c_331493,plain,
k5_relat_1(sK205,np__0) = np__0,
inference(superposition,[status(thm)],[c_841,c_1272]) ).
tcf(c_331494,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_925,c_1272]) ).
tcf(c_331495,plain,
! [X0: $i,X1: $i] : k5_relat_1(sK237(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_1053,c_1272]) ).
tcf(c_331496,plain,
! [X0: $i,X1: $i] : k5_relat_1(sK238(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_1057,c_1272]) ).
tcf(c_331499,plain,
k5_relat_1(sK293,np__0) = np__0,
inference(superposition,[status(thm)],[c_1365,c_1272]) ).
tcf(c_331500,plain,
! [X0: $i] :
( ( k5_relat_1(sK412(X0),np__0) = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2196,c_1272]) ).
tcf(c_331501,plain,
k5_relat_1(sK413,np__0) = np__0,
inference(superposition,[status(thm)],[c_2208,c_1272]) ).
tcf(c_331502,plain,
! [X0: $i] : k5_relat_1(sK414(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_2213,c_1272]) ).
tcf(c_331503,plain,
k5_relat_1(sK415,np__0) = np__0,
inference(superposition,[status(thm)],[c_2218,c_1272]) ).
tcf(c_331504,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_2240,c_1272]) ).
tcf(c_331505,plain,
! [X0: $i,X1: $i] : k5_relat_1(sK29(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_329799,c_1272]) ).
tcf(c_331506,plain,
! [X0: $i,X1: $i] : k5_relat_1(sK47(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_329821,c_1272]) ).
tcf(c_331507,plain,
! [X0: $i] :
( ( k5_relat_1(sK29(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329968,c_1272]) ).
tcf(c_331508,plain,
k5_relat_1(sK47(k5_finsub_1(sK205)),np__0) = np__0,
inference(superposition,[status(thm)],[c_331281,c_1272]) ).
tcf(c_331509,plain,
k5_relat_1(sK53(sK205),np__0) = np__0,
inference(superposition,[status(thm)],[c_331354,c_1272]) ).
tcf(c_331510,plain,
k5_relat_1(sK210(sK205),np__0) = np__0,
inference(superposition,[status(thm)],[c_331368,c_1272]) ).
tcf(c_331541,plain,
! [X0: $i] :
( r1_tarski(np__0,k1_card_1(X0))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_1300,c_1307]) ).
tcf(c_331542,plain,
! [X0: $i] :
( r1_tarski(k1_card_1(X0),np__0)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_1300,c_1307]) ).
tcf(c_331543,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_1307,c_872]) ).
tcf(c_331544,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_1307,c_70]) ).
tcf(c_331545,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_card_1(X0),k1_card_1(X1)) ),
inference(superposition,[status(thm)],[c_1307,c_69]) ).
tcf(c_331546,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_card_1(X2))
| m1_subset_1(sK25(X0,k1_card_1(X2)),X0)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,k1_card_1(X1)) ),
inference(superposition,[status(thm)],[c_1307,c_97752]) ).
tcf(c_331561,plain,
k5_relat_1(sK211(sK205),np__0) = np__0,
inference(superposition,[status(thm)],[c_331382,c_1272]) ).
tcf(c_331562,plain,
k5_relat_1(np__0,sK211(sK205)) = np__0,
inference(superposition,[status(thm)],[c_331382,c_1271]) ).
tcf(c_331564,plain,
~ r2_hidden(k5_finsub_1(sK205),sK53(sK205)),
inference(superposition,[status(thm)],[c_331348,c_196]) ).
tcf(c_331568,plain,
~ r2_hidden(k5_finsub_1(sK205),sK210(sK205)),
inference(superposition,[status(thm)],[c_331362,c_196]) ).
tcf(c_331572,plain,
~ r2_hidden(k5_finsub_1(sK205),sK211(sK205)),
inference(superposition,[status(thm)],[c_331376,c_196]) ).
tcf(c_331576,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(X0),k5_finsub_1(sK212))
| ~ r1_tarski(X0,sK212) ),
inference(superposition,[status(thm)],[c_330900,c_90]) ).
tcf(c_331577,plain,
! [X0: $i] : ~ r1_tarski(k2_xboole_0(X0,k5_finsub_1(sK212)),sK212),
inference(superposition,[status(thm)],[c_330900,c_327403]) ).
tcf(c_331578,plain,
! [X0: $i] : ~ r1_tarski(k2_tarski(X0,k5_finsub_1(sK212)),sK212),
inference(superposition,[status(thm)],[c_330900,c_327182]) ).
tcf(c_331579,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(X0,k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_330900,c_328301]) ).
tcf(c_331580,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_tarski(sK26(k5_finsub_1(sK212),X0,X1),sK212)
| ~ r1_tarski(X1,k1_zfmisc_1(sK212))
| ~ r1_tarski(X0,k1_zfmisc_1(sK212)) ),
inference(superposition,[status(thm)],[c_330900,c_326381]) ).
tcf(c_331581,plain,
! [X0: $i] :
( r1_tarski(X0,sK212)
| ~ r2_hidden(X0,k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_330900,c_94]) ).
tcf(c_331582,plain,
! [X0: $i] :
( r2_hidden(X0,k5_finsub_1(sK212))
| ~ r1_tarski(X0,sK212) ),
inference(superposition,[status(thm)],[c_330900,c_93]) ).
tcf(c_331583,plain,
! [X0: $i] :
( r1_tarski(X0,sK212)
| ~ m1_subset_1(X0,k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_330900,c_72]) ).
tcf(c_331584,plain,
! [X0: $i] :
( m1_subset_1(X0,k5_finsub_1(sK212))
| ~ r1_tarski(X0,sK212) ),
inference(superposition,[status(thm)],[c_330900,c_71]) ).
tcf(c_331585,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(sK212,X1)))
| m1_subset_1(sK25(X0,k1_zfmisc_1(k4_xboole_0(sK212,X1))),X0)
| ~ r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k5_finsub_1(sK212),k1_zfmisc_1(X1)))) ),
inference(superposition,[status(thm)],[c_330900,c_323864]) ).
tcf(c_331586,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,sK212)),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k5_finsub_1(sK212)))),
inference(superposition,[status(thm)],[c_330900,c_33271]) ).
tcf(c_331587,plain,
~ r2_hidden(k5_finsub_1(sK212),sK47(k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_330900,c_328440]) ).
tcf(c_331588,plain,
~ r1_tarski(k1_zfmisc_1(k5_finsub_1(sK212)),sK212),
inference(superposition,[status(thm)],[c_330900,c_329952]) ).
tcf(c_331589,plain,
~ r2_hidden(k5_finsub_1(sK212),sK212),
inference(superposition,[status(thm)],[c_330900,c_329886]) ).
tcf(c_331590,plain,
r2_hidden(np__0,k5_finsub_1(sK212)),
inference(superposition,[status(thm)],[c_330900,c_329441]) ).
tcf(c_331591,plain,
~ r2_hidden(sK212,sK25(k5_finsub_1(sK212),np__0)),
inference(superposition,[status(thm)],[c_330900,c_328142]) ).
tcf(c_331592,plain,
~ r2_hidden(k5_finsub_1(sK212),k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_330900,c_329304]) ).
tcf(c_331593,plain,
r1_tarski(k5_finsub_1(np__0),k5_finsub_1(sK212)),
inference(superposition,[status(thm)],[c_330900,c_329271]) ).
tcf(c_331594,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(sK212),k1_zfmisc_1(X0))
| ~ r1_tarski(sK212,X0) ),
inference(superposition,[status(thm)],[c_330900,c_90]) ).
tcf(c_331595,plain,
! [X0: $i] : ~ r1_tarski(k2_tarski(k5_finsub_1(sK212),X0),sK212),
inference(superposition,[status(thm)],[c_330900,c_327177]) ).
tcf(c_331596,plain,
~ r2_hidden(k1_card_1(k5_finsub_1(sK212)),k1_card_1(sK212)),
inference(superposition,[status(thm)],[c_330900,c_326673]) ).
tcf(c_331597,plain,
~ r2_hidden(sK212,sK47(k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_330900,c_328446]) ).
tcf(c_331598,plain,
m1_subset_1(sK47(k5_finsub_1(sK212)),k5_finsub_1(sK212)),
inference(superposition,[status(thm)],[c_330900,c_328443]) ).
tcf(c_331599,plain,
r1_tarski(sK47(k5_finsub_1(sK212)),sK212),
inference(superposition,[status(thm)],[c_330900,c_328444]) ).
tcf(c_331600,plain,
r2_hidden(sK47(k5_finsub_1(sK212)),k5_finsub_1(sK212)),
inference(superposition,[status(thm)],[c_330900,c_328343]) ).
tcf(c_331601,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(sK212),X0)
| r1_tarski(sK28(k5_finsub_1(sK212),X0),sK212) ),
inference(superposition,[status(thm)],[c_330900,c_326593]) ).
tcf(c_331602,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(k5_finsub_1(sK212),X0)),
inference(superposition,[status(thm)],[c_330900,c_328292]) ).
tcf(c_331603,plain,
! [X0: $i] : ~ r1_tarski(k2_xboole_0(k5_finsub_1(sK212),X0),sK212),
inference(superposition,[status(thm)],[c_330900,c_326441]) ).
tcf(c_331604,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r1_tarski(k1_zfmisc_1(sK212),sK26(k5_finsub_1(X1),X0,X2))
| r1_tarski(sK25(k5_finsub_1(sK212),sK26(k5_finsub_1(X1),X0,X2)),sK212)
| ~ r1_tarski(k1_zfmisc_1(sK212),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_330900,c_326385]) ).
tcf(c_331605,plain,
~ r2_hidden(k5_finsub_1(sK212),k2_tarski(sK212,sK212)),
inference(superposition,[status(thm)],[c_330900,c_326289]) ).
tcf(c_331606,plain,
r1_tarski(sK25(k5_finsub_1(sK212),np__0),sK212),
inference(superposition,[status(thm)],[c_330900,c_328139]) ).
tcf(c_331607,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(sK212),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k5_finsub_1(sK212),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),sK212)
| ~ r1_tarski(k1_zfmisc_1(sK212),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_330900,c_326383]) ).
tcf(c_331608,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(sK212),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(sK212),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK212)
| ~ r1_tarski(k1_zfmisc_1(sK212),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_330900,c_326382]) ).
tcf(c_331609,plain,
~ r2_hidden(sK212,sK29(k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_330900,c_326502]) ).
tcf(c_331610,plain,
~ r1_tarski(k5_finsub_1(sK212),sK212),
inference(superposition,[status(thm)],[c_330900,c_326440]) ).
tcf(c_331611,plain,
r1_tarski(sK29(k5_finsub_1(sK212)),sK212),
inference(superposition,[status(thm)],[c_330900,c_326374]) ).
tcf(c_331612,plain,
~ r2_hidden(k5_finsub_1(sK212),k5_finsub_1(sK212)),
inference(superposition,[status(thm)],[c_330900,c_326293]) ).
tcf(c_331613,plain,
m1_subset_1(k1_card_1(sK212),k1_card_1(k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_330900,c_325144]) ).
tcf(c_331614,plain,
( v1_xboole_0(sK212)
| m1_subset_1(sK211(sK212),k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_330900,c_882]) ).
tcf(c_331615,plain,
( v1_xboole_0(sK212)
| m1_subset_1(sK210(sK212),k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_330900,c_873]) ).
tcf(c_331616,plain,
~ v1_xboole_0(k1_card_1(k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_330900,c_325170]) ).
tcf(c_331617,plain,
( v1_xboole_0(sK212)
| m1_subset_1(sK53(sK212),k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_330900,c_211]) ).
tcf(c_331618,plain,
r2_hidden(k1_card_1(sK212),k1_card_1(k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_330900,c_1301]) ).
tcf(c_331619,plain,
( v1_finset_1(k5_finsub_1(sK212))
| ~ v1_finset_1(sK212) ),
inference(superposition,[status(thm)],[c_330900,c_865]) ).
tcf(c_331621,plain,
r1_tarski(k2_tarski(sK212,sK212),k5_finsub_1(sK212)),
inference(superposition,[status(thm)],[c_330900,c_263]) ).
tcf(c_331622,plain,
r1_tarski(k5_finsub_1(sK212),k5_finsub_1(sK212)),
inference(superposition,[status(thm)],[c_330900,c_920]) ).
tcf(c_331623,plain,
~ v1_xboole_0(k5_finsub_1(sK212)),
inference(superposition,[status(thm)],[c_330900,c_213]) ).
tcf(c_331624,plain,
m1_subset_1(np__0,k5_finsub_1(sK212)),
inference(superposition,[status(thm)],[c_330900,c_157]) ).
tcf(c_331625,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(sK212,X0)),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k5_finsub_1(sK212),k1_zfmisc_1(X0)))),
inference(superposition,[status(thm)],[c_330900,c_33271]) ).
tcf(c_331626,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(X1,sK212)))
| m1_subset_1(sK25(X0,k1_zfmisc_1(k4_xboole_0(X1,sK212))),X0)
| ~ r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k5_finsub_1(sK212)))) ),
inference(superposition,[status(thm)],[c_330900,c_323864]) ).
tcf(c_331627,plain,
v1_finset_1(k5_finsub_1(sK212)),
inference(forward_subsumption_resolution,[status(thm)],[c_331619,c_889]) ).
tcf(c_331628,plain,
m1_subset_1(sK53(sK212),k5_finsub_1(sK212)),
inference(forward_subsumption_resolution,[status(thm)],[c_331617,c_888]) ).
tcf(c_331629,plain,
m1_subset_1(sK210(sK212),k5_finsub_1(sK212)),
inference(forward_subsumption_resolution,[status(thm)],[c_331615,c_888]) ).
tcf(c_331630,plain,
m1_subset_1(sK211(sK212),k5_finsub_1(sK212)),
inference(forward_subsumption_resolution,[status(thm)],[c_331614,c_888]) ).
tcf(c_331643,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(sK212),X0)
| r1_tarski(sK28(k5_finsub_1(sK212),X0),sK212) ),
inference(light_normalisation,[status(thm)],[c_331601,c_330900]) ).
tcf(c_331646,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_tarski(sK26(k5_finsub_1(sK212),X0,X1),sK212)
| ~ r1_tarski(X1,k5_finsub_1(sK212))
| ~ r1_tarski(X0,k5_finsub_1(sK212)) ),
inference(light_normalisation,[status(thm)],[c_331580,c_330900]) ).
tcf(c_331657,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(sK212),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(sK212),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK212)
| ~ r1_tarski(k5_finsub_1(sK212),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_331608,c_330900]) ).
tcf(c_331661,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(sK212),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k5_finsub_1(sK212),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),sK212)
| ~ r1_tarski(k5_finsub_1(sK212),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_331607,c_330900]) ).
tcf(c_331665,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r1_tarski(k5_finsub_1(sK212),sK26(k5_finsub_1(X1),X0,X2))
| r1_tarski(sK25(k5_finsub_1(sK212),sK26(k5_finsub_1(X1),X0,X2)),sK212)
| ~ r1_tarski(k5_finsub_1(sK212),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(light_normalisation,[status(thm)],[c_331604,c_330900]) ).
tcf(c_331672,plain,
k1_zfmisc_1(k5_finsub_1(sK212)) = k5_finsub_1(k5_finsub_1(sK212)),
inference(superposition,[status(thm)],[c_331627,c_859]) ).
tcf(c_331673,plain,
~ r2_hidden(k5_finsub_1(sK212),np__0),
inference(superposition,[status(thm)],[c_331590,c_196]) ).
tcf(c_331677,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),np__0)
| r1_tarski(sK25(k1_zfmisc_1(X0),np__0),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(demodulation,[status(thm)],[c_327856,c_824]) ).
tcf(c_331681,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(X0,k2_tarski(X1,X2)) != np__0,
inference(superposition,[status(thm)],[c_524,c_1403]) ).
tcf(c_331682,plain,
! [X0: $i,X1: $i] : k2_tarski(X0,X1) != np__0,
inference(superposition,[status(thm)],[c_31762,c_1403]) ).
tcf(c_331684,plain,
! [X0: $i] : k2_xboole_0(k5_finsub_1(np__0),X0) != np__0,
inference(superposition,[status(thm)],[c_919,c_1403]) ).
tcf(c_331686,plain,
! [X0: $i] : k2_xboole_0(k2_finseq_1(np__1),X0) != np__0,
inference(superposition,[status(thm)],[c_1820,c_1403]) ).
tcf(c_331687,plain,
! [X0: $i] : k2_xboole_0(k2_finseq_1(np__2),X0) != np__0,
inference(superposition,[status(thm)],[c_1821,c_1403]) ).
tcf(c_331692,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| m1_subset_1(sK47(k2_tarski(X0,X1)),k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_328348,c_1412]) ).
tcf(c_331696,plain,
! [X0: $i] : r2_hidden(X0,k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_263,c_1412]) ).
tcf(c_331698,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_515,c_1412]) ).
tcf(c_331699,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_xboole_0(k2_tarski(X0,X1),X2)),
inference(superposition,[status(thm)],[c_518,c_1412]) ).
tcf(c_331702,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_xboole_0(X1,k2_tarski(X0,X2))),
inference(superposition,[status(thm)],[c_326993,c_1412]) ).
tcf(c_331705,plain,
! [X0: $i] :
( r2_hidden(np__0,X0)
| ~ r1_tarski(k5_finsub_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_919,c_1412]) ).
tcf(c_331707,plain,
! [X0: $i] :
( r2_hidden(np__1,X0)
| ~ r1_tarski(k2_finseq_1(np__1),X0) ),
inference(superposition,[status(thm)],[c_1820,c_1412]) ).
tcf(c_331708,plain,
! [X0: $i] :
( r2_hidden(np__1,X0)
| ~ r1_tarski(k2_finseq_1(np__2),X0) ),
inference(superposition,[status(thm)],[c_1821,c_1412]) ).
tcf(c_331723,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| m1_subset_1(sK47(k2_tarski(X0,X1)),k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_328348,c_1413]) ).
tcf(c_331729,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_515,c_1413]) ).
tcf(c_331730,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_xboole_0(k2_tarski(X1,X0),X2)),
inference(superposition,[status(thm)],[c_518,c_1413]) ).
tcf(c_331733,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_xboole_0(X1,k2_tarski(X2,X0))),
inference(superposition,[status(thm)],[c_326993,c_1413]) ).
tcf(c_331739,plain,
! [X0: $i] :
( r2_hidden(np__2,X0)
| ~ r1_tarski(k2_finseq_1(np__2),X0) ),
inference(superposition,[status(thm)],[c_1821,c_1413]) ).
tcf(c_331763,plain,
r2_hidden(sK205,k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_330894,c_331696]) ).
tcf(c_331764,plain,
r2_hidden(sK212,k5_finsub_1(sK212)),
inference(superposition,[status(thm)],[c_330900,c_331696]) ).
tcf(c_331768,plain,
! [X0: $i] : m1_subset_1(X0,k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_331696,c_186]) ).
tcf(c_331774,plain,
m1_subset_1(sK205,k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_331763,c_186]) ).
tcf(c_331778,plain,
m1_subset_1(sK212,k5_finsub_1(sK212)),
inference(superposition,[status(thm)],[c_331764,c_186]) ).
tcf(c_331791,plain,
r1_tarski(sK205,sK205),
inference(superposition,[status(thm)],[c_331774,c_93114]) ).
tcf(c_331795,plain,
r1_tarski(sK212,sK212),
inference(superposition,[status(thm)],[c_331778,c_93114]) ).
tcf(c_331797,plain,
( v1_relat_1(k5_finsub_1(np__0))
| ~ v1_relat_1(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331593,c_70]) ).
tcf(c_331799,plain,
! [X0: $i] :
( r1_tarski(X0,k5_finsub_1(np__0))
| m1_subset_1(sK25(X0,k5_finsub_1(np__0)),X0)
| ~ r1_tarski(X0,k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331593,c_97752]) ).
tcf(c_331805,plain,
( v1_finset_1(sK47(k5_finsub_1(sK212)))
| ~ v1_finset_1(sK212) ),
inference(superposition,[status(thm)],[c_331599,c_872]) ).
tcf(c_331806,plain,
( v1_relat_1(sK47(k5_finsub_1(sK212)))
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331599,c_70]) ).
tcf(c_331808,plain,
! [X0: $i] :
( r1_tarski(X0,sK47(k5_finsub_1(sK212)))
| m1_subset_1(sK25(X0,sK47(k5_finsub_1(sK212))),X0)
| ~ r1_tarski(X0,sK212) ),
inference(superposition,[status(thm)],[c_331599,c_97752]) ).
tcf(c_331811,plain,
v1_finset_1(sK47(k5_finsub_1(sK212))),
inference(forward_subsumption_resolution,[status(thm)],[c_331805,c_889]) ).
tcf(c_331815,plain,
k1_zfmisc_1(sK47(k5_finsub_1(sK212))) = k5_finsub_1(sK47(k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_331811,c_859]) ).
tcf(c_331819,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,X1))
| r1_tarski(sK25(k1_zfmisc_1(X0),k2_xboole_0(X2,X1)),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(demodulation,[status(thm)],[c_327857,c_504,c_825,c_30376]) ).
tcf(c_331829,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(X1,X0))
| r1_tarski(sK25(k5_finsub_1(np__0),k2_xboole_0(X1,X0)),np__0)
| ~ r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_30123,c_331819]) ).
tcf(c_331830,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(sK205),k2_xboole_0(X1,X0))
| r1_tarski(sK25(k5_finsub_1(sK205),k2_xboole_0(X1,X0)),sK205)
| ~ r1_tarski(k1_zfmisc_1(sK205),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_330894,c_331819]) ).
tcf(c_331831,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(sK212),k2_xboole_0(X1,X0))
| r1_tarski(sK25(k5_finsub_1(sK212),k2_xboole_0(X1,X0)),sK212)
| ~ r1_tarski(k1_zfmisc_1(sK212),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_330900,c_331819]) ).
tcf(c_331833,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,np__0))
| r1_tarski(sK25(k1_zfmisc_1(X0),X1),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(np__0,X1)) ),
inference(superposition,[status(thm)],[c_522,c_331819]) ).
tcf(c_331835,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,X1))
| r1_tarski(sK25(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_524,c_331819]) ).
tcf(c_331836,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(np__0,X1))
| r1_tarski(sK25(k1_zfmisc_1(X0),X1),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,np__0)) ),
inference(superposition,[status(thm)],[c_327052,c_331819]) ).
tcf(c_331837,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),X1),X0)
| r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k4_xboole_0(X1,X2),X1)) ),
inference(superposition,[status(thm)],[c_31762,c_331819]) ).
tcf(c_331838,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,X1))
| v1_finset_1(sK25(k1_zfmisc_1(X0),k2_xboole_0(X2,X1)))
| ~ v1_finset_1(X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_331819,c_872]) ).
tcf(c_331839,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,X1))
| v1_relat_1(sK25(k1_zfmisc_1(X0),k2_xboole_0(X2,X1)))
| ~ v1_relat_1(X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_331819,c_70]) ).
tcf(c_331840,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,X1))
| ~ r2_hidden(X0,sK25(k1_zfmisc_1(X0),k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_331819,c_69]) ).
tcf(c_331841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,X1))
| r1_tarski(X3,sK25(k1_zfmisc_1(X0),k2_xboole_0(X2,X1)))
| m1_subset_1(sK25(X3,sK25(k1_zfmisc_1(X0),k2_xboole_0(X2,X1))),X3)
| ~ r1_tarski(X3,X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_331819,c_97752]) ).
tcf(c_331842,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(X1,X0))
| ( sK25(k1_zfmisc_1(np__0),k2_xboole_0(X1,X0)) = np__0 )
| ~ r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_331819,c_95]) ).
tcf(c_331843,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(k1_numbers),k2_xboole_0(X1,X0))
| v1_membered(sK25(k1_zfmisc_1(k1_numbers),k2_xboole_0(X1,X0)))
| ~ r1_tarski(k1_zfmisc_1(k1_numbers),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_331819,c_326348]) ).
tcf(c_331844,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(k1_numbers),k2_xboole_0(X1,X0))
| v2_membered(sK25(k1_zfmisc_1(k1_numbers),k2_xboole_0(X1,X0)))
| ~ r1_tarski(k1_zfmisc_1(k1_numbers),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_331819,c_326347]) ).
tcf(c_331845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X3,X2))
| r1_tarski(sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X3,X2)),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X3,X2)),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X3,X2)))
| ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_331819,c_323864]) ).
tcf(c_331861,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(sK212),k2_xboole_0(X1,X0))
| r1_tarski(sK25(k5_finsub_1(sK212),k2_xboole_0(X1,X0)),sK212)
| ~ r1_tarski(k5_finsub_1(sK212),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_331831,c_330900]) ).
tcf(c_331865,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(sK205),k2_xboole_0(X1,X0))
| r1_tarski(sK25(k5_finsub_1(sK205),k2_xboole_0(X1,X0)),sK205)
| ~ r1_tarski(k5_finsub_1(sK205),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_331830,c_330894]) ).
tcf(c_331869,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X1,X0))
| r1_tarski(sK25(k5_finsub_1(np__0),k2_xboole_0(X1,X0)),np__0)
| ~ r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_331829,c_30123]) ).
tcf(c_331885,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),X1),X0)
| r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(theory_normalisation,[status(thm)],[c_331837,c_521,c_524]) ).
tcf(c_331930,plain,
! [X0: $i] : v3_relat_2(sK324(X0,np__0)),
inference(superposition,[status(thm)],[c_145,c_1611]) ).
tcf(c_331931,plain,
! [X0: $i] : v3_relat_2(sK324(X0,sK42(X0,X0))),
inference(superposition,[status(thm)],[c_170,c_1611]) ).
tcf(c_331932,plain,
! [X0: $i] :
( v3_relat_2(sK324(k5_numbers,X0))
| ~ m2_finseq_1(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_1611]) ).
tcf(c_331933,plain,
v3_relat_2(sK324(k5_numbers,sK414(k5_numbers))),
inference(superposition,[status(thm)],[c_331333,c_1611]) ).
tcf(c_331937,plain,
( v1_xboole_0(k5_finsub_1(sK212))
| r2_hidden(sK53(sK212),k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331628,c_188]) ).
tcf(c_331938,plain,
v1_finset_1(sK53(sK212)),
inference(superposition,[status(thm)],[c_331628,c_860]) ).
tcf(c_331939,plain,
r1_tarski(sK53(sK212),sK212),
inference(superposition,[status(thm)],[c_331628,c_93114]) ).
tcf(c_331940,plain,
r2_hidden(sK53(sK212),k5_finsub_1(sK212)),
inference(forward_subsumption_resolution,[status(thm)],[c_331937,c_331623]) ).
tcf(c_331941,plain,
k1_zfmisc_1(sK53(sK212)) = k5_finsub_1(sK53(sK212)),
inference(superposition,[status(thm)],[c_331938,c_859]) ).
tcf(c_331943,plain,
( v1_relat_1(sK53(sK212))
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331939,c_70]) ).
tcf(c_331944,plain,
~ r2_hidden(sK212,sK53(sK212)),
inference(superposition,[status(thm)],[c_331939,c_69]) ).
tcf(c_331945,plain,
! [X0: $i] :
( r1_tarski(X0,sK53(sK212))
| m1_subset_1(sK25(X0,sK53(sK212)),X0)
| ~ r1_tarski(X0,sK212) ),
inference(superposition,[status(thm)],[c_331939,c_97752]) ).
tcf(c_331952,plain,
( v1_xboole_0(k5_finsub_1(sK212))
| r2_hidden(sK210(sK212),k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331629,c_188]) ).
tcf(c_331953,plain,
v1_finset_1(sK210(sK212)),
inference(superposition,[status(thm)],[c_331629,c_860]) ).
tcf(c_331954,plain,
r1_tarski(sK210(sK212),sK212),
inference(superposition,[status(thm)],[c_331629,c_93114]) ).
tcf(c_331955,plain,
r2_hidden(sK210(sK212),k5_finsub_1(sK212)),
inference(forward_subsumption_resolution,[status(thm)],[c_331952,c_331623]) ).
tcf(c_331956,plain,
k1_zfmisc_1(sK210(sK212)) = k5_finsub_1(sK210(sK212)),
inference(superposition,[status(thm)],[c_331953,c_859]) ).
tcf(c_331958,plain,
( v1_relat_1(sK210(sK212))
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331954,c_70]) ).
tcf(c_331959,plain,
~ r2_hidden(sK212,sK210(sK212)),
inference(superposition,[status(thm)],[c_331954,c_69]) ).
tcf(c_331960,plain,
! [X0: $i] :
( r1_tarski(X0,sK210(sK212))
| m1_subset_1(sK25(X0,sK210(sK212)),X0)
| ~ r1_tarski(X0,sK212) ),
inference(superposition,[status(thm)],[c_331954,c_97752]) ).
tcf(c_331967,plain,
( v1_xboole_0(k5_finsub_1(sK212))
| r2_hidden(sK211(sK212),k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331630,c_188]) ).
tcf(c_331968,plain,
v1_finset_1(sK211(sK212)),
inference(superposition,[status(thm)],[c_331630,c_860]) ).
tcf(c_331969,plain,
r1_tarski(sK211(sK212),sK212),
inference(superposition,[status(thm)],[c_331630,c_93114]) ).
tcf(c_331970,plain,
r2_hidden(sK211(sK212),k5_finsub_1(sK212)),
inference(forward_subsumption_resolution,[status(thm)],[c_331967,c_331623]) ).
tcf(c_331971,plain,
k1_zfmisc_1(sK211(sK212)) = k5_finsub_1(sK211(sK212)),
inference(superposition,[status(thm)],[c_331968,c_859]) ).
tcf(c_331973,plain,
( v1_relat_1(sK211(sK212))
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331969,c_70]) ).
tcf(c_331974,plain,
~ r2_hidden(sK212,sK211(sK212)),
inference(superposition,[status(thm)],[c_331969,c_69]) ).
tcf(c_331975,plain,
! [X0: $i] :
( r1_tarski(X0,sK211(sK212))
| m1_subset_1(sK25(X0,sK211(sK212)),X0)
| ~ r1_tarski(X0,sK212) ),
inference(superposition,[status(thm)],[c_331969,c_97752]) ).
tcf(c_331981,plain,
~ r2_hidden(k5_finsub_1(sK212),sK53(sK212)),
inference(superposition,[status(thm)],[c_331940,c_196]) ).
tcf(c_331985,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(demodulation,[status(thm)],[c_327859,c_522,c_327052]) ).
tcf(c_331995,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| r1_tarski(sK25(k5_finsub_1(np__0),k4_xboole_0(X1,k4_xboole_0(X1,X0))),np__0)
| ~ r1_tarski(k1_zfmisc_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_30123,c_331985]) ).
tcf(c_331996,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(sK205),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| r1_tarski(sK25(k5_finsub_1(sK205),k4_xboole_0(X1,k4_xboole_0(X1,X0))),sK205)
| ~ r1_tarski(k1_zfmisc_1(sK205),X0) ),
inference(superposition,[status(thm)],[c_330894,c_331985]) ).
tcf(c_331997,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(sK212),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| r1_tarski(sK25(k5_finsub_1(sK212),k4_xboole_0(X1,k4_xboole_0(X1,X0))),sK212)
| ~ r1_tarski(k1_zfmisc_1(sK212),X0) ),
inference(superposition,[status(thm)],[c_330900,c_331985]) ).
tcf(c_332000,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(np__0,k4_xboole_0(np__0,X1)))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(np__0,np__0)),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_824,c_331985]) ).
tcf(c_332001,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,np__0)))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,X1)),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),np__0) ),
inference(superposition,[status(thm)],[c_825,c_331985]) ).
tcf(c_332002,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,np__0)),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,X1)))
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_30376,c_331985]) ).
tcf(c_332003,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| v1_finset_1(sK25(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))))
| ~ v1_finset_1(X0)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_331985,c_872]) ).
tcf(c_332004,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| v1_relat_1(sK25(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))))
| ~ v1_relat_1(X0)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_331985,c_70]) ).
tcf(c_332005,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(k1_zfmisc_1(X0),X2)
| ~ r2_hidden(X0,sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,X2)))) ),
inference(superposition,[status(thm)],[c_331985,c_69]) ).
tcf(c_332006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,X1)))
| r1_tarski(X2,sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,X1))))
| m1_subset_1(sK25(X2,sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,X1)))),X2)
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_331985,c_97752]) ).
tcf(c_332007,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ( sK25(k1_zfmisc_1(np__0),k4_xboole_0(X1,k4_xboole_0(X1,X0))) = np__0 )
| ~ r1_tarski(k1_zfmisc_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_331985,c_95]) ).
tcf(c_332008,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(k1_numbers),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| v1_membered(sK25(k1_zfmisc_1(k1_numbers),k4_xboole_0(X1,k4_xboole_0(X1,X0))))
| ~ r1_tarski(k1_zfmisc_1(k1_numbers),X0) ),
inference(superposition,[status(thm)],[c_331985,c_326348]) ).
tcf(c_332009,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(k1_numbers),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| v2_membered(sK25(k1_zfmisc_1(k1_numbers),k4_xboole_0(X1,k4_xboole_0(X1,X0))))
| ~ r1_tarski(k1_zfmisc_1(k1_numbers),X0) ),
inference(superposition,[status(thm)],[c_331985,c_326347]) ).
tcf(c_332010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X3,k4_xboole_0(X3,X2)))
| r1_tarski(sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X3,k4_xboole_0(X3,X2))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X3,k4_xboole_0(X3,X2))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X3,k4_xboole_0(X3,X2))))
| ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),X2) ),
inference(superposition,[status(thm)],[c_331985,c_323864]) ).
tcf(c_332026,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(sK212),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| r1_tarski(sK25(k5_finsub_1(sK212),k4_xboole_0(X1,k4_xboole_0(X1,X0))),sK212)
| ~ r1_tarski(k5_finsub_1(sK212),X0) ),
inference(light_normalisation,[status(thm)],[c_331997,c_330900]) ).
tcf(c_332030,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(sK205),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| r1_tarski(sK25(k5_finsub_1(sK205),k4_xboole_0(X1,k4_xboole_0(X1,X0))),sK205)
| ~ r1_tarski(k5_finsub_1(sK205),X0) ),
inference(light_normalisation,[status(thm)],[c_331996,c_330894]) ).
tcf(c_332034,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(np__0),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| r1_tarski(sK25(k5_finsub_1(np__0),k4_xboole_0(X1,k4_xboole_0(X1,X0))),np__0)
| ~ r1_tarski(k5_finsub_1(np__0),X0) ),
inference(light_normalisation,[status(thm)],[c_331995,c_30123]) ).
tcf(c_332063,plain,
! [X0: $i] : v8_relat_2(sK324(X0,np__0)),
inference(superposition,[status(thm)],[c_145,c_1612]) ).
tcf(c_332064,plain,
! [X0: $i] : v8_relat_2(sK324(X0,sK42(X0,X0))),
inference(superposition,[status(thm)],[c_170,c_1612]) ).
tcf(c_332065,plain,
! [X0: $i] :
( v8_relat_2(sK324(k5_numbers,X0))
| ~ m2_finseq_1(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_1612]) ).
tcf(c_332066,plain,
v8_relat_2(sK324(k5_numbers,sK414(k5_numbers))),
inference(superposition,[status(thm)],[c_331333,c_1612]) ).
tcf(c_332079,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_membered(X0)
| ~ r2_hidden(X0,sK354(X0)) ),
inference(superposition,[status(thm)],[c_1801,c_196]) ).
tcf(c_332082,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK354(X0),X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1801,c_186]) ).
tcf(c_332083,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK354(k1_zfmisc_1(X0)),X0)
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1801,c_94]) ).
tcf(c_332085,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r2_hidden(sK354(k4_xboole_0(X0,X1)),X0)
| ~ v1_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1801,c_830]) ).
tcf(c_332086,plain,
( v1_xboole_0(k1_numbers)
| v1_xreal_0(sK354(k1_numbers))
| ~ v1_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_1801,c_1783]) ).
tcf(c_332087,plain,
v1_xreal_0(sK354(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_332086,c_2495,c_2496]) ).
tcf(c_332094,plain,
! [X0: $i] :
( r1_tarski(sK354(k1_zfmisc_1(X0)),X0)
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_332083,c_213]) ).
tcf(c_332106,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_93,c_1804]) ).
tcf(c_332107,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_xcmplx_0(sK28(X0,X1))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_103,c_1804]) ).
tcf(c_332108,plain,
! [X0: $i] :
( v1_xcmplx_0(sK41(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_167,c_1804]) ).
tcf(c_332109,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK72(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_337,c_1804]) ).
tcf(c_332110,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK73(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_338,c_1804]) ).
tcf(c_332111,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_528,c_1804]) ).
tcf(c_332112,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_529,c_1804]) ).
tcf(c_332113,plain,
! [X0: $i] :
( v1_xcmplx_0(sK118(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_558,c_1804]) ).
tcf(c_332114,plain,
! [X0: $i] :
( sP0(X0)
| v1_funct_1(X0)
| v1_xcmplx_0(sK124(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_569,c_1804]) ).
tcf(c_332115,plain,
! [X0: $i] :
( sP0(X0)
| v1_relat_1(X0)
| v1_xcmplx_0(sK124(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_567,c_1804]) ).
tcf(c_332116,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xcmplx_0(sK137(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_587,c_1804]) ).
tcf(c_332117,plain,
! [X0: $i] :
( v1_xcmplx_0(k1_card_1(X0))
| ~ v1_membered(k1_card_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_1301,c_1804]) ).
tcf(c_332118,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1433,c_1804]) ).
tcf(c_332119,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1434,c_1804]) ).
tcf(c_332121,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_1784,c_1804]) ).
tcf(c_332124,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xcmplx_0(sK402(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2041,c_1804]) ).
tcf(c_332125,plain,
! [X0: $i] :
( v1_xcmplx_0(sK432(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2378,c_1804]) ).
tcf(c_332126,plain,
! [X0: $i] :
( v1_xcmplx_0(sK433(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2380,c_1804]) ).
tcf(c_332127,plain,
! [X0: $i] :
( v1_xcmplx_0(sK434(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2382,c_1804]) ).
tcf(c_332128,plain,
! [X0: $i] :
( v1_xcmplx_0(sK435(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2384,c_1804]) ).
tcf(c_332129,plain,
! [X0: $i] :
( v1_xcmplx_0(sK436(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2386,c_1804]) ).
tcf(c_332130,plain,
! [X0: $i] :
( v1_xcmplx_0(sK437(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2388,c_1804]) ).
tcf(c_332131,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v1_xcmplx_0(sK439(X0,X1))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2439,c_1804]) ).
tcf(c_332132,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| v1_xcmplx_0(sK439(X1,X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2440,c_1804]) ).
tcf(c_332133,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| v1_xcmplx_0(sK441(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2459,c_1804]) ).
tcf(c_332134,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_331696,c_1804]) ).
tcf(c_332138,plain,
( v1_xcmplx_0(np__1)
| ~ v1_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_325622,c_1804]) ).
tcf(c_332139,plain,
! [X0: $i] :
( v1_xcmplx_0(np__1)
| ~ v1_membered(k2_xboole_0(X0,k2_finseq_1(np__1))) ),
inference(superposition,[status(thm)],[c_325617,c_1804]) ).
tcf(c_332140,plain,
( v1_xcmplx_0(np__1)
| ~ v1_membered(k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_325627,c_1804]) ).
tcf(c_332141,plain,
( v1_xcmplx_0(np__2)
| ~ v1_membered(k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_325632,c_1804]) ).
tcf(c_332142,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(sK47(X0))
| r1_xboole_0(X0,X1)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_328923,c_1804]) ).
tcf(c_332143,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK47(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_329782,c_1804]) ).
tcf(c_332145,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| v1_xcmplx_0(sK47(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_326636,c_1804]) ).
tcf(c_332146,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_xcmplx_0(sK47(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_328340,c_1804]) ).
tcf(c_332147,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(sK47(X0))
| r1_tarski(X0,X1)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_326624,c_1804]) ).
tcf(c_332148,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xcmplx_0(sK47(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_326635,c_1804]) ).
tcf(c_332150,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xcmplx_0(sK47(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_326629,c_1804]) ).
tcf(c_332151,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK47(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_326627,c_1804]) ).
tcf(c_332153,plain,
( v1_xcmplx_0(sK47(k2_finseq_1(np__1)))
| ~ v1_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_326640,c_1804]) ).
tcf(c_332154,plain,
( v1_xcmplx_0(sK47(k2_finseq_1(np__2)))
| ~ v1_membered(k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_326642,c_1804]) ).
tcf(c_332156,plain,
! [X0: $i] :
( v1_xcmplx_0(np__1)
| ~ v1_membered(k2_xboole_0(k2_finseq_1(np__1),X0)) ),
inference(superposition,[status(thm)],[c_327064,c_1804]) ).
tcf(c_332157,plain,
( v1_xcmplx_0(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v1_membered(a_2_0_lopclset(sK23,sK24)) ),
inference(superposition,[status(thm)],[c_328335,c_1804]) ).
tcf(c_332158,plain,
! [X0: $i] :
( v1_xcmplx_0(sK47(k1_zfmisc_1(X0)))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_328343,c_1804]) ).
tcf(c_332159,plain,
( v1_xcmplx_0(sK24)
| ~ v1_membered(u1_struct_0(sK23)) ),
inference(superposition,[status(thm)],[c_329764,c_1804]) ).
tcf(c_332160,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK29(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_329379,c_1804]) ).
tcf(c_332163,plain,
( v1_xcmplx_0(k5_numbers)
| ~ v1_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_329440,c_1804]) ).
tcf(c_332164,plain,
( v1_xcmplx_0(sK47(u1_struct_0(sK23)))
| ~ v1_membered(u1_struct_0(sK23)) ),
inference(superposition,[status(thm)],[c_329767,c_1804]) ).
tcf(c_332166,plain,
( v1_xcmplx_0(sK53(sK205))
| ~ v1_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331348,c_1804]) ).
tcf(c_332167,plain,
( v1_xcmplx_0(sK210(sK205))
| ~ v1_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331362,c_1804]) ).
tcf(c_332168,plain,
( v1_xcmplx_0(sK211(sK205))
| ~ v1_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331376,c_1804]) ).
tcf(c_332169,plain,
( v1_xcmplx_0(sK205)
| ~ v1_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331763,c_1804]) ).
tcf(c_332170,plain,
( v1_xcmplx_0(sK212)
| ~ v1_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331764,c_1804]) ).
tcf(c_332172,plain,
( v1_xcmplx_0(sK53(sK212))
| ~ v1_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331940,c_1804]) ).
tcf(c_332316,plain,
v1_xcmplx_0(sK354(k1_numbers)),
inference(superposition,[status(thm)],[c_332087,c_1811]) ).
tcf(c_332329,plain,
( v1_xcmplx_0(sK210(sK212))
| ~ v1_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331955,c_1804]) ).
tcf(c_332330,plain,
~ r2_hidden(k5_finsub_1(sK212),sK210(sK212)),
inference(superposition,[status(thm)],[c_331955,c_196]) ).
tcf(c_332336,plain,
( v1_xcmplx_0(sK211(sK212))
| ~ v1_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331970,c_1804]) ).
tcf(c_332337,plain,
~ r2_hidden(k5_finsub_1(sK212),sK211(sK212)),
inference(superposition,[status(thm)],[c_331970,c_196]) ).
tcf(c_332350,plain,
( v1_xcmplx_0(sK24)
| ~ v2_membered(u1_struct_0(sK23)) ),
inference(superposition,[status(thm)],[c_51,c_1806]) ).
tcf(c_332351,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_71,c_1806]) ).
tcf(c_332352,plain,
! [X0: $i] :
( v1_xcmplx_0(sK29(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_105,c_1806]) ).
tcf(c_332353,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_xcmplx_0(k7_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v2_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(superposition,[status(thm)],[c_93008,c_1806]) ).
tcf(c_332355,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_189,c_1806]) ).
tcf(c_332356,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK53(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_211,c_1806]) ).
tcf(c_332357,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK74(X0))
| ~ v2_membered(X0)
| ~ v1_realset1(X0) ),
inference(superposition,[status(thm)],[c_342,c_1806]) ).
tcf(c_332358,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK75(X0))
| ~ v2_membered(X0)
| ~ v1_realset1(X0) ),
inference(superposition,[status(thm)],[c_344,c_1806]) ).
tcf(c_332365,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK207(X0))
| ~ v2_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_851,c_1806]) ).
tcf(c_332366,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK210(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_873,c_1806]) ).
tcf(c_332367,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK211(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_882,c_1806]) ).
tcf(c_332369,plain,
( v1_xcmplx_0(k5_numbers)
| ~ v2_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1089,c_1806]) ).
tcf(c_332375,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_2009,c_1806]) ).
tcf(c_332376,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| v1_xcmplx_0(sK26(X1,X2,X0))
| ~ v2_membered(X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_97754,c_1806]) ).
tcf(c_332377,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| v1_xcmplx_0(k2_rlvect_1(sK362,X0,X1))
| ~ v2_membered(u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(superposition,[status(thm)],[c_79508,c_1806]) ).
tcf(c_332378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| v1_xcmplx_0(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))))
| ~ v2_membered(X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323865,c_1806]) ).
tcf(c_332379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| v1_xcmplx_0(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))))
| ~ v2_membered(X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323866,c_1806]) ).
tcf(c_332380,plain,
! [X0: $i] :
( r1_tarski(X0,np__0)
| v1_xcmplx_0(sK25(X0,np__0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_324141,c_1806]) ).
tcf(c_332381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X0)
| r1_tarski(X3,sK26(k5_finsub_1(X1),X2,X0))
| v1_xcmplx_0(sK25(X3,sK26(k5_finsub_1(X1),X2,X0)))
| ~ v2_membered(X3)
| ~ r1_tarski(X3,X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323904,c_1806]) ).
tcf(c_332383,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK72(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_325141,c_1806]) ).
tcf(c_332384,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK73(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_325142,c_1806]) ).
tcf(c_332385,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xcmplx_0(sK137(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_325143,c_1806]) ).
tcf(c_332386,plain,
! [X0: $i] :
( v1_xcmplx_0(k1_card_1(X0))
| ~ v2_membered(k1_card_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_325144,c_1806]) ).
tcf(c_332387,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_325145,c_1806]) ).
tcf(c_332388,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_325146,c_1806]) ).
tcf(c_332389,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_325147,c_1806]) ).
tcf(c_332390,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xcmplx_0(sK355(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_325148,c_1806]) ).
tcf(c_332391,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xcmplx_0(sK402(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_325149,c_1806]) ).
tcf(c_332393,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ v2_membered(k2_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(superposition,[status(thm)],[c_325191,c_1806]) ).
tcf(c_332394,plain,
( v1_xcmplx_0(np__1)
| ~ v2_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_325621,c_1806]) ).
tcf(c_332395,plain,
( v1_xcmplx_0(np__1)
| ~ v2_membered(k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_325626,c_1806]) ).
tcf(c_332396,plain,
( v1_xcmplx_0(np__2)
| ~ v2_membered(k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_325631,c_1806]) ).
tcf(c_332398,plain,
! [X0: $i] :
( v1_xcmplx_0(np__1)
| ~ v2_membered(k2_xboole_0(X0,k2_finseq_1(np__1))) ),
inference(superposition,[status(thm)],[c_325948,c_1806]) ).
tcf(c_332399,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| v1_xcmplx_0(sK441(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_325985,c_1806]) ).
tcf(c_332401,plain,
! [X0: $i] :
( v1_xcmplx_0(np__1)
| ~ v2_membered(k2_xboole_0(k2_finseq_1(np__1),X0)) ),
inference(superposition,[status(thm)],[c_327062,c_1806]) ).
tcf(c_332402,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| v1_xcmplx_0(sK47(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_328597,c_1806]) ).
tcf(c_332403,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(sK47(X0))
| r1_tarski(X0,X1)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_328348,c_1806]) ).
tcf(c_332404,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK47(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_329995,c_1806]) ).
tcf(c_332406,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xcmplx_0(sK47(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_327155,c_1806]) ).
tcf(c_332407,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xcmplx_0(sK47(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_326938,c_1806]) ).
tcf(c_332408,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xcmplx_0(sK47(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_326921,c_1806]) ).
tcf(c_332409,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK47(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_326899,c_1806]) ).
tcf(c_332410,plain,
( v1_xcmplx_0(sK47(k2_finseq_1(np__1)))
| ~ v2_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_327172,c_1806]) ).
tcf(c_332411,plain,
( v1_xcmplx_0(sK47(k2_finseq_1(np__2)))
| ~ v2_membered(k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_327176,c_1806]) ).
tcf(c_332412,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(k2_xboole_0(k2_tarski(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_327934,c_1806]) ).
tcf(c_332413,plain,
( v1_xcmplx_0(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v2_membered(a_2_0_lopclset(sK23,sK24)) ),
inference(superposition,[status(thm)],[c_328461,c_1806]) ).
tcf(c_332414,plain,
! [X0: $i] :
( v1_xcmplx_0(sK47(k1_zfmisc_1(X0)))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_328443,c_1806]) ).
tcf(c_332416,plain,
( v1_xcmplx_0(sK47(u1_struct_0(sK23)))
| ~ v2_membered(u1_struct_0(sK23)) ),
inference(superposition,[status(thm)],[c_329773,c_1806]) ).
tcf(c_332417,plain,
( v1_xcmplx_0(sK211(sK205))
| ~ v2_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331221,c_1806]) ).
tcf(c_332418,plain,
( v1_xcmplx_0(sK210(sK205))
| ~ v2_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331220,c_1806]) ).
tcf(c_332419,plain,
( v1_xcmplx_0(sK53(sK205))
| ~ v2_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331219,c_1806]) ).
tcf(c_332420,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_331768,c_1806]) ).
tcf(c_332421,plain,
( v1_xcmplx_0(sK205)
| ~ v2_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331774,c_1806]) ).
tcf(c_332422,plain,
( v1_xcmplx_0(sK212)
| ~ v2_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331778,c_1806]) ).
tcf(c_332423,plain,
( v1_xcmplx_0(sK211(sK212))
| ~ v2_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331630,c_1806]) ).
tcf(c_332424,plain,
( v1_xcmplx_0(sK210(sK212))
| ~ v2_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331629,c_1806]) ).
tcf(c_332425,plain,
( v1_xcmplx_0(sK53(sK212))
| ~ v2_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331628,c_1806]) ).
tcf(c_332623,plain,
( v1_xreal_0(sK24)
| ~ v2_membered(u1_struct_0(sK23)) ),
inference(superposition,[status(thm)],[c_51,c_1807]) ).
tcf(c_332624,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_71,c_1807]) ).
tcf(c_332625,plain,
! [X0: $i] :
( v1_xreal_0(sK29(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_105,c_1807]) ).
tcf(c_332626,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_xreal_0(k7_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v2_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(superposition,[status(thm)],[c_93008,c_1807]) ).
tcf(c_332628,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_189,c_1807]) ).
tcf(c_332629,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK53(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_211,c_1807]) ).
tcf(c_332630,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK74(X0))
| ~ v2_membered(X0)
| ~ v1_realset1(X0) ),
inference(superposition,[status(thm)],[c_342,c_1807]) ).
tcf(c_332631,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK75(X0))
| ~ v2_membered(X0)
| ~ v1_realset1(X0) ),
inference(superposition,[status(thm)],[c_344,c_1807]) ).
tcf(c_332638,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK207(X0))
| ~ v2_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_851,c_1807]) ).
tcf(c_332639,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK210(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_873,c_1807]) ).
tcf(c_332640,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK211(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_882,c_1807]) ).
tcf(c_332642,plain,
( v1_xreal_0(k5_numbers)
| ~ v2_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1089,c_1807]) ).
tcf(c_332648,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_2009,c_1807]) ).
tcf(c_332649,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| v1_xreal_0(sK26(X1,X2,X0))
| ~ v2_membered(X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_97754,c_1807]) ).
tcf(c_332650,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| v1_xreal_0(k2_rlvect_1(sK362,X0,X1))
| ~ v2_membered(u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(superposition,[status(thm)],[c_79508,c_1807]) ).
tcf(c_332651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| v1_xreal_0(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))))
| ~ v2_membered(X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323865,c_1807]) ).
tcf(c_332652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| v1_xreal_0(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))))
| ~ v2_membered(X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323866,c_1807]) ).
tcf(c_332653,plain,
! [X0: $i] :
( r1_tarski(X0,np__0)
| v1_xreal_0(sK25(X0,np__0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_324141,c_1807]) ).
tcf(c_332654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X0)
| r1_tarski(X3,sK26(k5_finsub_1(X1),X2,X0))
| v1_xreal_0(sK25(X3,sK26(k5_finsub_1(X1),X2,X0)))
| ~ v2_membered(X3)
| ~ r1_tarski(X3,X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323904,c_1807]) ).
tcf(c_332656,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xreal_0(sK72(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_325141,c_1807]) ).
tcf(c_332657,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xreal_0(sK73(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_325142,c_1807]) ).
tcf(c_332658,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xreal_0(sK137(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_325143,c_1807]) ).
tcf(c_332659,plain,
! [X0: $i] :
( v1_xreal_0(k1_card_1(X0))
| ~ v2_membered(k1_card_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_325144,c_1807]) ).
tcf(c_332660,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_325145,c_1807]) ).
tcf(c_332661,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X1)
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_325146,c_1807]) ).
tcf(c_332663,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xreal_0(sK355(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_325148,c_1807]) ).
tcf(c_332664,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xreal_0(sK402(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_325149,c_1807]) ).
tcf(c_332666,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X1)
| ~ v2_membered(k2_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(superposition,[status(thm)],[c_325191,c_1807]) ).
tcf(c_332667,plain,
( v1_xreal_0(np__1)
| ~ v2_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_325621,c_1807]) ).
tcf(c_332668,plain,
( v1_xreal_0(np__1)
| ~ v2_membered(k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_325626,c_1807]) ).
tcf(c_332669,plain,
( v1_xreal_0(np__2)
| ~ v2_membered(k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_325631,c_1807]) ).
tcf(c_332671,plain,
! [X0: $i] :
( v1_xreal_0(np__1)
| ~ v2_membered(k2_xboole_0(X0,k2_finseq_1(np__1))) ),
inference(superposition,[status(thm)],[c_325948,c_1807]) ).
tcf(c_332672,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| v1_xreal_0(sK441(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_325985,c_1807]) ).
tcf(c_332674,plain,
! [X0: $i] :
( v1_xreal_0(np__1)
| ~ v2_membered(k2_xboole_0(k2_finseq_1(np__1),X0)) ),
inference(superposition,[status(thm)],[c_327062,c_1807]) ).
tcf(c_332675,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| v1_xreal_0(sK47(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_328597,c_1807]) ).
tcf(c_332676,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(sK47(X0))
| r1_tarski(X0,X1)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_328348,c_1807]) ).
tcf(c_332677,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK47(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_329995,c_1807]) ).
tcf(c_332679,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xreal_0(sK47(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_327155,c_1807]) ).
tcf(c_332680,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xreal_0(sK47(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_326938,c_1807]) ).
tcf(c_332681,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xreal_0(sK47(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_326921,c_1807]) ).
tcf(c_332682,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xreal_0(sK47(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_326899,c_1807]) ).
tcf(c_332683,plain,
( v1_xreal_0(sK47(k2_finseq_1(np__1)))
| ~ v2_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_327172,c_1807]) ).
tcf(c_332684,plain,
( v1_xreal_0(sK47(k2_finseq_1(np__2)))
| ~ v2_membered(k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_327176,c_1807]) ).
tcf(c_332685,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(k2_xboole_0(k2_tarski(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_327934,c_1807]) ).
tcf(c_332686,plain,
( v1_xreal_0(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v2_membered(a_2_0_lopclset(sK23,sK24)) ),
inference(superposition,[status(thm)],[c_328461,c_1807]) ).
tcf(c_332687,plain,
! [X0: $i] :
( v1_xreal_0(sK47(k1_zfmisc_1(X0)))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_328443,c_1807]) ).
tcf(c_332689,plain,
( v1_xreal_0(sK47(u1_struct_0(sK23)))
| ~ v2_membered(u1_struct_0(sK23)) ),
inference(superposition,[status(thm)],[c_329773,c_1807]) ).
tcf(c_332690,plain,
( v1_xreal_0(sK211(sK205))
| ~ v2_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331221,c_1807]) ).
tcf(c_332691,plain,
( v1_xreal_0(sK210(sK205))
| ~ v2_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331220,c_1807]) ).
tcf(c_332692,plain,
( v1_xreal_0(sK53(sK205))
| ~ v2_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331219,c_1807]) ).
tcf(c_332693,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_331768,c_1807]) ).
tcf(c_332694,plain,
( v1_xreal_0(sK205)
| ~ v2_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331774,c_1807]) ).
tcf(c_332695,plain,
( v1_xreal_0(sK212)
| ~ v2_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331778,c_1807]) ).
tcf(c_332696,plain,
( v1_xreal_0(sK211(sK212))
| ~ v2_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331630,c_1807]) ).
tcf(c_332697,plain,
( v1_xreal_0(sK210(sK212))
| ~ v2_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331629,c_1807]) ).
tcf(c_332698,plain,
( v1_xreal_0(sK53(sK212))
| ~ v2_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331628,c_1807]) ).
tcf(c_332897,plain,
! [X0: $i] :
( v1_xcmplx_0(sK29(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_105,c_1808]) ).
tcf(c_332898,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_xcmplx_0(k7_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(superposition,[status(thm)],[c_93008,c_1808]) ).
tcf(c_332900,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_189,c_1808]) ).
tcf(c_332901,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK53(X0))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_211,c_1808]) ).
tcf(c_332902,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK74(X0))
| ~ v1_membered(X0)
| ~ v1_realset1(X0) ),
inference(superposition,[status(thm)],[c_342,c_1808]) ).
tcf(c_332903,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK75(X0))
| ~ v1_membered(X0)
| ~ v1_realset1(X0) ),
inference(superposition,[status(thm)],[c_344,c_1808]) ).
tcf(c_332910,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK207(X0))
| ~ v1_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_851,c_1808]) ).
tcf(c_332911,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK210(X0))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_873,c_1808]) ).
tcf(c_332912,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK211(X0))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_882,c_1808]) ).
tcf(c_332920,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_2009,c_1808]) ).
tcf(c_332921,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| v1_xcmplx_0(sK26(X1,X2,X0))
| ~ v1_membered(X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_97754,c_1808]) ).
tcf(c_332922,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK362)
| v1_xcmplx_0(k2_rlvect_1(sK362,X0,X1))
| ~ v1_membered(u1_struct_0(sK362))
| ~ m1_subset_1(X1,u1_struct_0(sK362))
| ~ m1_subset_1(X0,u1_struct_0(sK362)) ),
inference(superposition,[status(thm)],[c_79508,c_1808]) ).
tcf(c_332923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| v1_xcmplx_0(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))))
| ~ v1_membered(X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323865,c_1808]) ).
tcf(c_332924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| v1_xcmplx_0(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))))
| ~ v1_membered(X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323866,c_1808]) ).
tcf(c_332925,plain,
! [X0: $i] :
( r1_tarski(X0,np__0)
| v1_xcmplx_0(sK25(X0,np__0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_324141,c_1808]) ).
tcf(c_332926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X0)
| r1_tarski(X3,sK26(k5_finsub_1(X1),X2,X0))
| v1_xcmplx_0(sK25(X3,sK26(k5_finsub_1(X1),X2,X0)))
| ~ v1_membered(X3)
| ~ r1_tarski(X3,X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323904,c_1808]) ).
tcf(c_332938,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ v1_membered(k2_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(superposition,[status(thm)],[c_325191,c_1808]) ).
tcf(c_332957,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k2_xboole_0(k2_tarski(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_327934,c_1808]) ).
tcf(c_333077,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(X0),k5_finsub_1(sK413))
| ~ r1_tarski(X0,sK413) ),
inference(superposition,[status(thm)],[c_330901,c_90]) ).
tcf(c_333078,plain,
! [X0: $i] : ~ r1_tarski(k2_xboole_0(X0,k5_finsub_1(sK413)),sK413),
inference(superposition,[status(thm)],[c_330901,c_327403]) ).
tcf(c_333079,plain,
! [X0: $i] : ~ r1_tarski(k2_tarski(X0,k5_finsub_1(sK413)),sK413),
inference(superposition,[status(thm)],[c_330901,c_327182]) ).
tcf(c_333080,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(X0,k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_330901,c_328301]) ).
tcf(c_333081,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_tarski(sK26(k5_finsub_1(sK413),X0,X1),sK413)
| ~ r1_tarski(X1,k1_zfmisc_1(sK413))
| ~ r1_tarski(X0,k1_zfmisc_1(sK413)) ),
inference(superposition,[status(thm)],[c_330901,c_326381]) ).
tcf(c_333082,plain,
! [X0: $i] :
( r1_tarski(X0,sK413)
| ~ r2_hidden(X0,k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_330901,c_94]) ).
tcf(c_333083,plain,
! [X0: $i] :
( r2_hidden(X0,k5_finsub_1(sK413))
| ~ r1_tarski(X0,sK413) ),
inference(superposition,[status(thm)],[c_330901,c_93]) ).
tcf(c_333084,plain,
! [X0: $i] :
( r1_tarski(X0,sK413)
| ~ m1_subset_1(X0,k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_330901,c_72]) ).
tcf(c_333085,plain,
! [X0: $i] :
( m1_subset_1(X0,k5_finsub_1(sK413))
| ~ r1_tarski(X0,sK413) ),
inference(superposition,[status(thm)],[c_330901,c_71]) ).
tcf(c_333086,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(sK413,X1)))
| m1_subset_1(sK25(X0,k1_zfmisc_1(k4_xboole_0(sK413,X1))),X0)
| ~ r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k5_finsub_1(sK413),k1_zfmisc_1(X1)))) ),
inference(superposition,[status(thm)],[c_330901,c_323864]) ).
tcf(c_333087,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,sK413)),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k5_finsub_1(sK413)))),
inference(superposition,[status(thm)],[c_330901,c_33271]) ).
tcf(c_333088,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(sK413),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| r1_tarski(sK25(k5_finsub_1(sK413),k4_xboole_0(X1,k4_xboole_0(X1,X0))),sK413)
| ~ r1_tarski(k1_zfmisc_1(sK413),X0) ),
inference(superposition,[status(thm)],[c_330901,c_331985]) ).
tcf(c_333089,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(sK413),k2_xboole_0(X1,X0))
| r1_tarski(sK25(k5_finsub_1(sK413),k2_xboole_0(X1,X0)),sK413)
| ~ r1_tarski(k1_zfmisc_1(sK413),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_330901,c_331819]) ).
tcf(c_333090,plain,
m1_subset_1(sK413,k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_330901,c_331768]) ).
tcf(c_333091,plain,
r2_hidden(sK413,k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_330901,c_331696]) ).
tcf(c_333092,plain,
~ r2_hidden(k5_finsub_1(sK413),sK47(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_330901,c_328440]) ).
tcf(c_333093,plain,
~ r1_tarski(k1_zfmisc_1(k5_finsub_1(sK413)),sK413),
inference(superposition,[status(thm)],[c_330901,c_329952]) ).
tcf(c_333094,plain,
~ r2_hidden(k5_finsub_1(sK413),sK413),
inference(superposition,[status(thm)],[c_330901,c_329886]) ).
tcf(c_333095,plain,
r2_hidden(np__0,k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_330901,c_329441]) ).
tcf(c_333096,plain,
~ r2_hidden(sK413,sK25(k5_finsub_1(sK413),np__0)),
inference(superposition,[status(thm)],[c_330901,c_328142]) ).
tcf(c_333097,plain,
~ r2_hidden(k5_finsub_1(sK413),k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_330901,c_329304]) ).
tcf(c_333098,plain,
r1_tarski(k5_finsub_1(np__0),k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_330901,c_329271]) ).
tcf(c_333099,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(sK413),k1_zfmisc_1(X0))
| ~ r1_tarski(sK413,X0) ),
inference(superposition,[status(thm)],[c_330901,c_90]) ).
tcf(c_333100,plain,
! [X0: $i] : ~ r1_tarski(k2_tarski(k5_finsub_1(sK413),X0),sK413),
inference(superposition,[status(thm)],[c_330901,c_327177]) ).
tcf(c_333101,plain,
~ r2_hidden(k1_card_1(k5_finsub_1(sK413)),k1_card_1(sK413)),
inference(superposition,[status(thm)],[c_330901,c_326673]) ).
tcf(c_333102,plain,
~ r2_hidden(sK413,sK47(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_330901,c_328446]) ).
tcf(c_333103,plain,
m1_subset_1(sK47(k5_finsub_1(sK413)),k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_330901,c_328443]) ).
tcf(c_333104,plain,
r1_tarski(sK47(k5_finsub_1(sK413)),sK413),
inference(superposition,[status(thm)],[c_330901,c_328444]) ).
tcf(c_333105,plain,
r2_hidden(sK47(k5_finsub_1(sK413)),k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_330901,c_328343]) ).
tcf(c_333106,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(sK413),X0)
| r1_tarski(sK28(k5_finsub_1(sK413),X0),sK413) ),
inference(superposition,[status(thm)],[c_330901,c_326593]) ).
tcf(c_333107,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(k5_finsub_1(sK413),X0)),
inference(superposition,[status(thm)],[c_330901,c_328292]) ).
tcf(c_333108,plain,
! [X0: $i] : ~ r1_tarski(k2_xboole_0(k5_finsub_1(sK413),X0),sK413),
inference(superposition,[status(thm)],[c_330901,c_326441]) ).
tcf(c_333109,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r1_tarski(k1_zfmisc_1(sK413),sK26(k5_finsub_1(X1),X0,X2))
| r1_tarski(sK25(k5_finsub_1(sK413),sK26(k5_finsub_1(X1),X0,X2)),sK413)
| ~ r1_tarski(k1_zfmisc_1(sK413),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_330901,c_326385]) ).
tcf(c_333110,plain,
~ r2_hidden(k5_finsub_1(sK413),k2_tarski(sK413,sK413)),
inference(superposition,[status(thm)],[c_330901,c_326289]) ).
tcf(c_333111,plain,
r1_tarski(sK25(k5_finsub_1(sK413),np__0),sK413),
inference(superposition,[status(thm)],[c_330901,c_328139]) ).
tcf(c_333112,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(sK413),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(sK413),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK413)
| ~ r1_tarski(k1_zfmisc_1(sK413),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_330901,c_326382]) ).
tcf(c_333113,plain,
~ r2_hidden(sK413,sK29(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_330901,c_326502]) ).
tcf(c_333114,plain,
~ r1_tarski(k5_finsub_1(sK413),sK413),
inference(superposition,[status(thm)],[c_330901,c_326440]) ).
tcf(c_333115,plain,
r1_tarski(sK29(k5_finsub_1(sK413)),sK413),
inference(superposition,[status(thm)],[c_330901,c_326374]) ).
tcf(c_333116,plain,
~ r2_hidden(k5_finsub_1(sK413),k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_330901,c_326293]) ).
tcf(c_333117,plain,
m1_subset_1(k1_card_1(sK413),k1_card_1(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_330901,c_325144]) ).
tcf(c_333118,plain,
( v1_xboole_0(sK413)
| m1_subset_1(sK211(sK413),k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_330901,c_882]) ).
tcf(c_333119,plain,
( v1_xboole_0(sK413)
| m1_subset_1(sK210(sK413),k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_330901,c_873]) ).
tcf(c_333120,plain,
~ v1_xboole_0(k1_card_1(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_330901,c_325170]) ).
tcf(c_333121,plain,
( v1_xboole_0(sK413)
| m1_subset_1(sK53(sK413),k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_330901,c_211]) ).
tcf(c_333122,plain,
r2_hidden(k1_card_1(sK413),k1_card_1(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_330901,c_1301]) ).
tcf(c_333123,plain,
( v1_finset_1(k5_finsub_1(sK413))
| ~ v1_finset_1(sK413) ),
inference(superposition,[status(thm)],[c_330901,c_865]) ).
tcf(c_333125,plain,
r1_tarski(k2_tarski(sK413,sK413),k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_330901,c_263]) ).
tcf(c_333126,plain,
r1_tarski(k5_finsub_1(sK413),k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_330901,c_920]) ).
tcf(c_333127,plain,
~ v1_xboole_0(k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_330901,c_213]) ).
tcf(c_333128,plain,
m1_subset_1(np__0,k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_330901,c_157]) ).
tcf(c_333129,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(sK413,X0)),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k5_finsub_1(sK413),k1_zfmisc_1(X0)))),
inference(superposition,[status(thm)],[c_330901,c_33271]) ).
tcf(c_333130,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(X1,sK413)))
| m1_subset_1(sK25(X0,k1_zfmisc_1(k4_xboole_0(X1,sK413))),X0)
| ~ r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k5_finsub_1(sK413)))) ),
inference(superposition,[status(thm)],[c_330901,c_323864]) ).
tcf(c_333131,plain,
v1_finset_1(k5_finsub_1(sK413)),
inference(forward_subsumption_resolution,[status(thm)],[c_333123,c_2210]) ).
tcf(c_333132,plain,
m1_subset_1(sK53(sK413),k5_finsub_1(sK413)),
inference(forward_subsumption_resolution,[status(thm)],[c_333121,c_2207]) ).
tcf(c_333133,plain,
m1_subset_1(sK210(sK413),k5_finsub_1(sK413)),
inference(forward_subsumption_resolution,[status(thm)],[c_333119,c_2207]) ).
tcf(c_333134,plain,
m1_subset_1(sK211(sK413),k5_finsub_1(sK413)),
inference(forward_subsumption_resolution,[status(thm)],[c_333118,c_2207]) ).
tcf(c_333147,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(sK413),X0)
| r1_tarski(sK28(k5_finsub_1(sK413),X0),sK413) ),
inference(light_normalisation,[status(thm)],[c_333106,c_330901]) ).
tcf(c_333150,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_tarski(sK26(k5_finsub_1(sK413),X0,X1),sK413)
| ~ r1_tarski(X1,k5_finsub_1(sK413))
| ~ r1_tarski(X0,k5_finsub_1(sK413)) ),
inference(light_normalisation,[status(thm)],[c_333081,c_330901]) ).
tcf(c_333155,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(sK413),k2_xboole_0(X1,X0))
| r1_tarski(sK25(k5_finsub_1(sK413),k2_xboole_0(X1,X0)),sK413)
| ~ r1_tarski(k5_finsub_1(sK413),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_333089,c_330901]) ).
tcf(c_333159,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(sK413),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| r1_tarski(sK25(k5_finsub_1(sK413),k4_xboole_0(X1,k4_xboole_0(X1,X0))),sK413)
| ~ r1_tarski(k5_finsub_1(sK413),X0) ),
inference(light_normalisation,[status(thm)],[c_333088,c_330901]) ).
tcf(c_333169,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(sK413),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(sK413),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK413)
| ~ r1_tarski(k5_finsub_1(sK413),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_333112,c_330901]) ).
tcf(c_333173,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r1_tarski(k5_finsub_1(sK413),sK26(k5_finsub_1(X1),X0,X2))
| r1_tarski(sK25(k5_finsub_1(sK413),sK26(k5_finsub_1(X1),X0,X2)),sK413)
| ~ r1_tarski(k5_finsub_1(sK413),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(light_normalisation,[status(thm)],[c_333109,c_330901]) ).
tcf(c_333180,plain,
k1_zfmisc_1(k5_finsub_1(sK413)) = k5_finsub_1(k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_333131,c_859]) ).
tcf(c_333181,plain,
( v1_xcmplx_0(sK413)
| ~ v1_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333090,c_1808]) ).
tcf(c_333182,plain,
( v1_xreal_0(sK413)
| ~ v2_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333090,c_1807]) ).
tcf(c_333183,plain,
( v1_xcmplx_0(sK413)
| ~ v2_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333090,c_1806]) ).
tcf(c_333187,plain,
r1_tarski(sK413,sK413),
inference(superposition,[status(thm)],[c_333090,c_93114]) ).
tcf(c_333226,plain,
~ r2_hidden(k5_finsub_1(sK413),np__0),
inference(superposition,[status(thm)],[c_333095,c_196]) ).
tcf(c_333236,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),np__0)
| ~ r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_30123,c_327861]) ).
tcf(c_333237,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(sK205),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(sK205),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),sK205)
| ~ r1_tarski(k1_zfmisc_1(sK205),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_330894,c_327861]) ).
tcf(c_333238,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(sK212),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(sK212),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),sK212)
| ~ r1_tarski(k1_zfmisc_1(sK212),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_330900,c_327861]) ).
tcf(c_333239,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(sK413),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(sK413),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),sK413)
| ~ r1_tarski(k1_zfmisc_1(sK413),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_330901,c_327861]) ).
tcf(c_333241,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,np__0)),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X1))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_492,c_327861]) ).
tcf(c_333243,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(k2_xboole_0(X1,X2),np__0)),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(k2_xboole_0(X1,X2),k4_xboole_0(k2_xboole_0(X1,X2),k2_xboole_0(X2,X1))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_30376,c_327861]) ).
tcf(c_333250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| v1_finset_1(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))))
| ~ v1_finset_1(X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_327861,c_872]) ).
tcf(c_333251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| v1_relat_1(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))))
| ~ v1_relat_1(X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_327861,c_70]) ).
tcf(c_333252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X3,X2))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,X3))
| ~ r2_hidden(X0,sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3))))) ),
inference(superposition,[status(thm)],[c_327861,c_69]) ).
tcf(c_333253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X1))))
| r1_tarski(X3,sK25(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X1,X2)))))
| m1_subset_1(sK25(X3,sK25(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X1,X2))))),X3)
| ~ r1_tarski(X3,X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_327861,c_97752]) ).
tcf(c_333254,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| ( sK25(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))) = np__0 )
| ~ r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_327861,c_95]) ).
tcf(c_333255,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| v1_membered(sK25(k1_zfmisc_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))))
| ~ r1_tarski(k1_zfmisc_1(k1_numbers),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_327861,c_326348]) ).
tcf(c_333256,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| v2_membered(sK25(k1_zfmisc_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))))
| ~ r1_tarski(k1_zfmisc_1(k1_numbers),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_327861,c_326347]) ).
tcf(c_333257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_tarski(sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))))
| ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_327861,c_323864]) ).
tcf(c_333267,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(sK413),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(sK413),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),sK413)
| ~ r1_tarski(k5_finsub_1(sK413),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_333239,c_330901]) ).
tcf(c_333271,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(sK212),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(sK212),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),sK212)
| ~ r1_tarski(k5_finsub_1(sK212),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_333238,c_330900]) ).
tcf(c_333275,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(sK205),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(sK205),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),sK205)
| ~ r1_tarski(k5_finsub_1(sK205),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_333237,c_330894]) ).
tcf(c_333279,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),np__0)
| ~ r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_333236,c_30123]) ).
tcf(c_333314,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK401(X0))
| ~ v5_membered(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2039,c_1804]) ).
tcf(c_333315,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v5_membered(X0)
| ~ r2_hidden(X0,sK401(X0)) ),
inference(superposition,[status(thm)],[c_2039,c_196]) ).
tcf(c_333318,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK401(X0),X0)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2039,c_186]) ).
tcf(c_333319,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK401(k1_zfmisc_1(X0)),X0)
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_2039,c_94]) ).
tcf(c_333321,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r2_hidden(sK401(k4_xboole_0(X0,X1)),X0)
| ~ v5_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2039,c_830]) ).
tcf(c_333322,plain,
( v1_xboole_0(k1_numbers)
| v1_xreal_0(sK401(k1_numbers))
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_2039,c_1783]) ).
tcf(c_333323,plain,
( v1_xreal_0(sK401(k1_numbers))
| ~ v5_membered(k1_numbers) ),
inference(forward_subsumption_resolution,[status(thm)],[c_333322,c_2495]) ).
tcf(c_333336,plain,
! [X0: $i] :
( r1_tarski(sK401(k1_zfmisc_1(X0)),X0)
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_333319,c_213]) ).
tcf(c_333348,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_93,c_2042]) ).
tcf(c_333349,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v4_ordinal2(sK28(X0,X1))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_103,c_2042]) ).
tcf(c_333350,plain,
! [X0: $i] :
( v4_ordinal2(sK41(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_167,c_2042]) ).
tcf(c_333351,plain,
! [X0: $i] :
( v1_realset1(X0)
| v4_ordinal2(sK72(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_337,c_2042]) ).
tcf(c_333352,plain,
! [X0: $i] :
( v1_realset1(X0)
| v4_ordinal2(sK73(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_338,c_2042]) ).
tcf(c_333353,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_528,c_2042]) ).
tcf(c_333354,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_529,c_2042]) ).
tcf(c_333355,plain,
! [X0: $i] :
( v4_ordinal2(sK118(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_558,c_2042]) ).
tcf(c_333356,plain,
! [X0: $i] :
( sP0(X0)
| v1_funct_1(X0)
| v4_ordinal2(sK124(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_569,c_2042]) ).
tcf(c_333357,plain,
! [X0: $i] :
( sP0(X0)
| v1_relat_1(X0)
| v4_ordinal2(sK124(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_567,c_2042]) ).
tcf(c_333358,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v4_ordinal2(sK137(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_587,c_2042]) ).
tcf(c_333359,plain,
! [X0: $i] :
( v4_ordinal2(k1_card_1(X0))
| ~ v5_membered(k1_card_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_1301,c_2042]) ).
tcf(c_333360,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1433,c_2042]) ).
tcf(c_333361,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X1)
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1434,c_2042]) ).
tcf(c_333363,plain,
! [X0: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_1784,c_2042]) ).
tcf(c_333364,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK354(X0))
| ~ v5_membered(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1801,c_2042]) ).
tcf(c_333365,plain,
! [X0: $i] :
( v1_membered(X0)
| v4_ordinal2(sK355(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1803,c_2042]) ).
tcf(c_333368,plain,
! [X0: $i] :
( v4_ordinal2(sK432(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2378,c_2042]) ).
tcf(c_333369,plain,
! [X0: $i] :
( v4_ordinal2(sK433(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2380,c_2042]) ).
tcf(c_333370,plain,
! [X0: $i] :
( v4_ordinal2(sK434(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2382,c_2042]) ).
tcf(c_333371,plain,
! [X0: $i] :
( v4_ordinal2(sK435(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2384,c_2042]) ).
tcf(c_333372,plain,
! [X0: $i] :
( v4_ordinal2(sK436(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2386,c_2042]) ).
tcf(c_333373,plain,
! [X0: $i] :
( v4_ordinal2(sK437(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2388,c_2042]) ).
tcf(c_333374,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v4_ordinal2(sK439(X0,X1))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2439,c_2042]) ).
tcf(c_333375,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| v4_ordinal2(sK439(X1,X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2440,c_2042]) ).
tcf(c_333376,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| v4_ordinal2(sK441(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2459,c_2042]) ).
tcf(c_333377,plain,
! [X0: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_331696,c_2042]) ).
tcf(c_333378,plain,
( v4_ordinal2(np__0)
| ~ v5_membered(k1_card_1(k5_finsub_1(np__0))) ),
inference(superposition,[status(thm)],[c_324512,c_2042]) ).
tcf(c_333379,plain,
( v4_ordinal2(np__0)
| ~ v5_membered(k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_325408,c_2042]) ).
tcf(c_333380,plain,
! [X0: $i] :
( v4_ordinal2(np__0)
| ~ v5_membered(k2_xboole_0(X0,k5_finsub_1(np__0))) ),
inference(superposition,[status(thm)],[c_325404,c_2042]) ).
tcf(c_333381,plain,
( v4_ordinal2(np__1)
| ~ v5_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_325622,c_2042]) ).
tcf(c_333382,plain,
! [X0: $i] :
( v4_ordinal2(np__1)
| ~ v5_membered(k2_xboole_0(X0,k2_finseq_1(np__1))) ),
inference(superposition,[status(thm)],[c_325617,c_2042]) ).
tcf(c_333383,plain,
( v4_ordinal2(np__1)
| ~ v5_membered(k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_325627,c_2042]) ).
tcf(c_333384,plain,
( v4_ordinal2(np__2)
| ~ v5_membered(k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_325632,c_2042]) ).
tcf(c_333385,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(sK47(X0))
| r1_xboole_0(X0,X1)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_328923,c_2042]) ).
tcf(c_333386,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK47(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_329782,c_2042]) ).
tcf(c_333388,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| v4_ordinal2(sK47(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_326636,c_2042]) ).
tcf(c_333389,plain,
! [X0: $i] :
( v2_membered(X0)
| v4_ordinal2(sK47(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_328340,c_2042]) ).
tcf(c_333390,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(sK47(X0))
| r1_tarski(X0,X1)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_326624,c_2042]) ).
tcf(c_333392,plain,
! [X0: $i] :
( v1_membered(X0)
| v4_ordinal2(sK47(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_326634,c_2042]) ).
tcf(c_333393,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v4_ordinal2(sK47(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_326629,c_2042]) ).
tcf(c_333394,plain,
! [X0: $i] :
( v1_realset1(X0)
| v4_ordinal2(sK47(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_326627,c_2042]) ).
tcf(c_333395,plain,
( v4_ordinal2(sK47(k1_numbers))
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_328582,c_2042]) ).
tcf(c_333396,plain,
( v4_ordinal2(sK47(k2_finseq_1(np__1)))
| ~ v5_membered(k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_326640,c_2042]) ).
tcf(c_333397,plain,
( v4_ordinal2(sK47(k2_finseq_1(np__2)))
| ~ v5_membered(k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_326642,c_2042]) ).
tcf(c_333398,plain,
! [X0: $i] :
( v4_ordinal2(np__0)
| ~ v5_membered(k2_xboole_0(k5_finsub_1(np__0),X0)) ),
inference(superposition,[status(thm)],[c_327061,c_2042]) ).
tcf(c_333399,plain,
! [X0: $i] :
( v4_ordinal2(np__1)
| ~ v5_membered(k2_xboole_0(k2_finseq_1(np__1),X0)) ),
inference(superposition,[status(thm)],[c_327064,c_2042]) ).
tcf(c_333400,plain,
( v4_ordinal2(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v5_membered(a_2_0_lopclset(sK23,sK24)) ),
inference(superposition,[status(thm)],[c_328335,c_2042]) ).
tcf(c_333401,plain,
! [X0: $i] :
( v4_ordinal2(sK47(k1_zfmisc_1(X0)))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_328343,c_2042]) ).
tcf(c_333402,plain,
( v4_ordinal2(sK24)
| ~ v5_membered(u1_struct_0(sK23)) ),
inference(superposition,[status(thm)],[c_329764,c_2042]) ).
tcf(c_333403,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK29(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_329379,c_2042]) ).
tcf(c_333404,plain,
! [X0: $i] :
( v4_ordinal2(np__0)
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_329441,c_2042]) ).
tcf(c_333405,plain,
( v4_ordinal2(sK242)
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_329435,c_2042]) ).
tcf(c_333406,plain,
( v4_ordinal2(k5_numbers)
| ~ v5_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_329440,c_2042]) ).
tcf(c_333407,plain,
( v4_ordinal2(sK47(u1_struct_0(sK23)))
| ~ v5_membered(u1_struct_0(sK23)) ),
inference(superposition,[status(thm)],[c_329767,c_2042]) ).
tcf(c_333408,plain,
( v4_ordinal2(np__0)
| ~ v5_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331181,c_2042]) ).
tcf(c_333409,plain,
( v4_ordinal2(sK53(sK205))
| ~ v5_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331348,c_2042]) ).
tcf(c_333410,plain,
( v4_ordinal2(sK210(sK205))
| ~ v5_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331362,c_2042]) ).
tcf(c_333411,plain,
( v4_ordinal2(sK211(sK205))
| ~ v5_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331376,c_2042]) ).
tcf(c_333412,plain,
( v4_ordinal2(sK205)
| ~ v5_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331763,c_2042]) ).
tcf(c_333413,plain,
( v4_ordinal2(sK212)
| ~ v5_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331764,c_2042]) ).
tcf(c_333414,plain,
( v4_ordinal2(np__0)
| ~ v5_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331590,c_2042]) ).
tcf(c_333415,plain,
( v4_ordinal2(sK53(sK212))
| ~ v5_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331940,c_2042]) ).
tcf(c_333416,plain,
( v4_ordinal2(sK210(sK212))
| ~ v5_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331955,c_2042]) ).
tcf(c_333417,plain,
( v4_ordinal2(sK211(sK212))
| ~ v5_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331970,c_2042]) ).
tcf(c_333418,plain,
( v4_ordinal2(sK413)
| ~ v5_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333091,c_2042]) ).
tcf(c_333419,plain,
( v4_ordinal2(np__0)
| ~ v5_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333095,c_2042]) ).
tcf(c_333599,plain,
! [X0: $i] :
( r2_wellord2(k2_finseq_1(sK204(X0)),sK204(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_834,c_2061]) ).
tcf(c_333600,plain,
! [X0: $i] :
( r2_wellord2(k2_finseq_1(sK403(X0)),sK403(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2059,c_2061]) ).
tcf(c_333612,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_299,c_2164]) ).
tcf(c_333613,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_433,c_2164]) ).
tcf(c_333614,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_550,c_2164]) ).
tcf(c_333615,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ v3_xreal_0(sK29(X0))
| ~ v1_xreal_0(sK29(X0)) ),
inference(superposition,[status(thm)],[c_329594,c_2164]) ).
tcf(c_333630,plain,
( v1_relat_1(k5_finsub_1(np__0))
| ~ v1_relat_1(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333098,c_70]) ).
tcf(c_333632,plain,
! [X0: $i] :
( r1_tarski(X0,k5_finsub_1(np__0))
| m1_subset_1(sK25(X0,k5_finsub_1(np__0)),X0)
| ~ r1_tarski(X0,k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333098,c_97752]) ).
tcf(c_333638,plain,
( v1_finset_1(sK47(k5_finsub_1(sK413)))
| ~ v1_finset_1(sK413) ),
inference(superposition,[status(thm)],[c_333104,c_872]) ).
tcf(c_333639,plain,
( v1_relat_1(sK47(k5_finsub_1(sK413)))
| ~ v1_relat_1(sK413) ),
inference(superposition,[status(thm)],[c_333104,c_70]) ).
tcf(c_333641,plain,
! [X0: $i] :
( r1_tarski(X0,sK47(k5_finsub_1(sK413)))
| m1_subset_1(sK25(X0,sK47(k5_finsub_1(sK413))),X0)
| ~ r1_tarski(X0,sK413) ),
inference(superposition,[status(thm)],[c_333104,c_97752]) ).
tcf(c_333642,plain,
v1_relat_1(sK47(k5_finsub_1(sK413))),
inference(forward_subsumption_resolution,[status(thm)],[c_333639,c_2208]) ).
tcf(c_333643,plain,
v1_finset_1(sK47(k5_finsub_1(sK413))),
inference(forward_subsumption_resolution,[status(thm)],[c_333638,c_2210]) ).
tcf(c_333647,plain,
k5_relat_1(sK47(k5_finsub_1(sK413)),np__0) = np__0,
inference(superposition,[status(thm)],[c_333642,c_1272]) ).
tcf(c_333648,plain,
k5_relat_1(np__0,sK47(k5_finsub_1(sK413))) = np__0,
inference(superposition,[status(thm)],[c_333642,c_1271]) ).
tcf(c_333657,plain,
( v1_xreal_0(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v5_membered(a_2_0_lopclset(sK23,sK24)) ),
inference(superposition,[status(thm)],[c_333400,c_2056]) ).
tcf(c_333658,plain,
( v1_int_1(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v5_membered(a_2_0_lopclset(sK23,sK24)) ),
inference(superposition,[status(thm)],[c_333400,c_2055]) ).
tcf(c_333667,plain,
( v1_xreal_0(sK47(u1_struct_0(sK23)))
| ~ v5_membered(u1_struct_0(sK23)) ),
inference(superposition,[status(thm)],[c_333407,c_2056]) ).
tcf(c_333668,plain,
( v1_int_1(sK47(u1_struct_0(sK23)))
| ~ v5_membered(u1_struct_0(sK23)) ),
inference(superposition,[status(thm)],[c_333407,c_2055]) ).
tcf(c_333677,plain,
( v1_xcmplx_0(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v5_membered(a_2_0_lopclset(sK23,sK24)) ),
inference(superposition,[status(thm)],[c_333657,c_1811]) ).
tcf(c_333690,plain,
( v1_xcmplx_0(sK47(u1_struct_0(sK23)))
| ~ v5_membered(u1_struct_0(sK23)) ),
inference(superposition,[status(thm)],[c_333667,c_1811]) ).
tcf(c_333712,plain,
( v2_xreal_0(sK242)
| v3_xreal_0(sK242)
| v1_xboole_0(sK242) ),
inference(superposition,[status(thm)],[c_1079,c_2168]) ).
tcf(c_333713,plain,
( v2_xreal_0(sK356)
| v3_xreal_0(sK356)
| v1_xboole_0(sK356) ),
inference(superposition,[status(thm)],[c_1810,c_2168]) ).
tcf(c_333717,plain,
( v2_xreal_0(sK241)
| v3_xreal_0(sK241)
| v1_xboole_0(sK241) ),
inference(superposition,[status(thm)],[c_324114,c_2168]) ).
tcf(c_333718,plain,
( v1_realset1(k1_numbers)
| v2_xreal_0(sK72(k1_numbers))
| v3_xreal_0(sK72(k1_numbers))
| v1_xboole_0(sK72(k1_numbers)) ),
inference(superposition,[status(thm)],[c_324521,c_2168]) ).
tcf(c_333719,plain,
( v1_realset1(k1_numbers)
| v2_xreal_0(sK73(k1_numbers))
| v3_xreal_0(sK73(k1_numbers))
| v1_xboole_0(sK73(k1_numbers)) ),
inference(superposition,[status(thm)],[c_324522,c_2168]) ).
tcf(c_333720,plain,
( v1_relat_1(k1_numbers)
| v2_xreal_0(sK137(k1_numbers))
| v3_xreal_0(sK137(k1_numbers))
| v1_xboole_0(sK137(k1_numbers)) ),
inference(superposition,[status(thm)],[c_324523,c_2168]) ).
tcf(c_333721,plain,
( v5_membered(k1_numbers)
| v2_xreal_0(sK402(k1_numbers))
| v3_xreal_0(sK402(k1_numbers))
| v1_xboole_0(sK402(k1_numbers)) ),
inference(superposition,[status(thm)],[c_324656,c_2168]) ).
tcf(c_333722,plain,
( v2_xreal_0(sK29(k5_numbers))
| v3_xreal_0(sK29(k5_numbers))
| v1_xboole_0(sK29(k5_numbers)) ),
inference(superposition,[status(thm)],[c_324743,c_2168]) ).
tcf(c_333723,plain,
( v1_realset1(k5_numbers)
| v2_xreal_0(sK72(k5_numbers))
| v3_xreal_0(sK72(k5_numbers))
| v1_xboole_0(sK72(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325463,c_2168]) ).
tcf(c_333724,plain,
( v1_realset1(k5_numbers)
| v2_xreal_0(sK73(k5_numbers))
| v3_xreal_0(sK73(k5_numbers))
| v1_xboole_0(sK73(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325534,c_2168]) ).
tcf(c_333725,plain,
( v1_relat_1(k5_numbers)
| v2_xreal_0(sK137(k5_numbers))
| v3_xreal_0(sK137(k5_numbers))
| v1_xboole_0(sK137(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325584,c_2168]) ).
tcf(c_333726,plain,
! [X0: $i] :
( v2_xreal_0(k2_xcmplx_0(X0,np__1))
| v3_xreal_0(k2_xcmplx_0(X0,np__1))
| v1_xboole_0(k2_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_326267,c_2168]) ).
tcf(c_333727,plain,
! [X0: $i] :
( v2_xreal_0(k6_xcmplx_0(X0,np__1))
| v3_xreal_0(k6_xcmplx_0(X0,np__1))
| v1_xboole_0(k6_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_326277,c_2168]) ).
tcf(c_333728,plain,
! [X0: $i] :
( r1_tarski(k1_numbers,X0)
| v2_xreal_0(sK28(k1_numbers,X0))
| v3_xreal_0(sK28(k1_numbers,X0))
| v1_xboole_0(sK28(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_326595,c_2168]) ).
tcf(c_333729,plain,
( v2_xreal_0(sK41(k1_numbers))
| v3_xreal_0(sK41(k1_numbers))
| v1_xboole_0(sK41(k1_numbers)) ),
inference(superposition,[status(thm)],[c_328327,c_2168]) ).
tcf(c_333730,plain,
( v2_xreal_0(sK47(k1_numbers))
| v3_xreal_0(sK47(k1_numbers))
| v1_xboole_0(sK47(k1_numbers)) ),
inference(superposition,[status(thm)],[c_326911,c_2168]) ).
tcf(c_333731,plain,
( v2_xreal_0(sK118(k1_numbers))
| v3_xreal_0(sK118(k1_numbers))
| v1_xboole_0(sK118(k1_numbers)) ),
inference(superposition,[status(thm)],[c_328766,c_2168]) ).
tcf(c_333732,plain,
( sP0(k1_numbers)
| v1_funct_1(k1_numbers)
| v2_xreal_0(sK124(k1_numbers))
| v3_xreal_0(sK124(k1_numbers))
| v1_xboole_0(sK124(k1_numbers)) ),
inference(superposition,[status(thm)],[c_327204,c_2168]) ).
tcf(c_333733,plain,
( sP0(k1_numbers)
| v1_relat_1(k1_numbers)
| v2_xreal_0(sK124(k1_numbers))
| v3_xreal_0(sK124(k1_numbers))
| v1_xboole_0(sK124(k1_numbers)) ),
inference(superposition,[status(thm)],[c_327120,c_2168]) ).
tcf(c_333734,plain,
( v2_xreal_0(sK47(k5_numbers))
| v3_xreal_0(sK47(k5_numbers))
| v1_xboole_0(sK47(k5_numbers)) ),
inference(superposition,[status(thm)],[c_327283,c_2168]) ).
tcf(c_333736,plain,
( v2_xreal_0(sK432(k1_numbers))
| v3_xreal_0(sK432(k1_numbers))
| v1_xboole_0(sK432(k1_numbers)) ),
inference(superposition,[status(thm)],[c_330606,c_2168]) ).
tcf(c_333737,plain,
( v2_xreal_0(sK433(k1_numbers))
| v3_xreal_0(sK433(k1_numbers))
| v1_xboole_0(sK433(k1_numbers)) ),
inference(superposition,[status(thm)],[c_330609,c_2168]) ).
tcf(c_333738,plain,
( v2_xreal_0(sK434(k1_numbers))
| v3_xreal_0(sK434(k1_numbers))
| v1_xboole_0(sK434(k1_numbers)) ),
inference(superposition,[status(thm)],[c_330642,c_2168]) ).
tcf(c_333739,plain,
( v2_xreal_0(sK435(k1_numbers))
| v3_xreal_0(sK435(k1_numbers))
| v1_xboole_0(sK435(k1_numbers)) ),
inference(superposition,[status(thm)],[c_330645,c_2168]) ).
tcf(c_333740,plain,
( v2_xreal_0(sK436(k1_numbers))
| v3_xreal_0(sK436(k1_numbers))
| v1_xboole_0(sK436(k1_numbers)) ),
inference(superposition,[status(thm)],[c_330648,c_2168]) ).
tcf(c_333741,plain,
( v2_xreal_0(sK437(k1_numbers))
| v3_xreal_0(sK437(k1_numbers))
| v1_xboole_0(sK437(k1_numbers)) ),
inference(superposition,[status(thm)],[c_330797,c_2168]) ).
tcf(c_333742,plain,
! [X0: $i] :
( r1_xboole_0(k1_numbers,X0)
| v2_xreal_0(sK439(k1_numbers,X0))
| v3_xreal_0(sK439(k1_numbers,X0))
| v1_xboole_0(sK439(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_328928,c_2168]) ).
tcf(c_333743,plain,
( v2_xreal_0(sK29(k1_numbers))
| v3_xreal_0(sK29(k1_numbers))
| v1_xboole_0(sK29(k1_numbers)) ),
inference(superposition,[status(thm)],[c_329788,c_2168]) ).
tcf(c_333744,plain,
( v2_xreal_0(sK354(k1_numbers))
| v3_xreal_0(sK354(k1_numbers))
| v1_xboole_0(sK354(k1_numbers)) ),
inference(superposition,[status(thm)],[c_332087,c_2168]) ).
tcf(c_333745,plain,
( v2_xreal_0(sK47(a_2_0_lopclset(sK23,sK24)))
| v3_xreal_0(sK47(a_2_0_lopclset(sK23,sK24)))
| v1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v5_membered(a_2_0_lopclset(sK23,sK24)) ),
inference(superposition,[status(thm)],[c_333657,c_2168]) ).
tcf(c_333746,plain,
( v2_xreal_0(sK47(a_2_0_lopclset(sK23,sK24)))
| v3_xreal_0(sK47(a_2_0_lopclset(sK23,sK24)))
| v1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v2_membered(a_2_0_lopclset(sK23,sK24)) ),
inference(superposition,[status(thm)],[c_332686,c_2168]) ).
tcf(c_333747,plain,
( v2_xreal_0(sK25(k5_numbers,np__0))
| v3_xreal_0(sK25(k5_numbers,np__0))
| v1_xboole_0(sK25(k5_numbers,np__0)) ),
inference(superposition,[status(thm)],[c_327842,c_2168]) ).
tcf(c_333748,plain,
( v2_xreal_0(sK47(u1_struct_0(sK23)))
| v3_xreal_0(sK47(u1_struct_0(sK23)))
| v1_xboole_0(sK47(u1_struct_0(sK23)))
| ~ v5_membered(u1_struct_0(sK23)) ),
inference(superposition,[status(thm)],[c_333667,c_2168]) ).
tcf(c_333749,plain,
( v2_xreal_0(sK47(u1_struct_0(sK23)))
| v3_xreal_0(sK47(u1_struct_0(sK23)))
| v1_xboole_0(sK47(u1_struct_0(sK23)))
| ~ v2_membered(u1_struct_0(sK23)) ),
inference(superposition,[status(thm)],[c_332689,c_2168]) ).
tcf(c_333783,plain,
( v2_xreal_0(sK47(k5_numbers))
| v1_xboole_0(sK47(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_333734,c_327560]) ).
tcf(c_333795,plain,
( v2_xreal_0(sK29(k5_numbers))
| v1_xboole_0(sK29(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_333722,c_325860]) ).
tcf(c_333882,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_299,c_2169]) ).
tcf(c_333883,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_433,c_2169]) ).
tcf(c_333884,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_550,c_2169]) ).
tcf(c_333885,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ v2_xreal_0(sK29(X0))
| ~ v1_xreal_0(sK29(X0)) ),
inference(superposition,[status(thm)],[c_329594,c_2169]) ).
tcf(c_333905,plain,
( ~ v2_xreal_0(sK242)
| ~ v3_xreal_0(sK242) ),
inference(superposition,[status(thm)],[c_1079,c_2171]) ).
tcf(c_333906,plain,
( ~ v2_xreal_0(sK356)
| ~ v3_xreal_0(sK356) ),
inference(superposition,[status(thm)],[c_1810,c_2171]) ).
tcf(c_333910,plain,
( ~ v2_xreal_0(sK241)
| ~ v3_xreal_0(sK241) ),
inference(superposition,[status(thm)],[c_324114,c_2171]) ).
tcf(c_333911,plain,
( v1_realset1(k1_numbers)
| ~ v2_xreal_0(sK72(k1_numbers))
| ~ v3_xreal_0(sK72(k1_numbers)) ),
inference(superposition,[status(thm)],[c_324521,c_2171]) ).
tcf(c_333912,plain,
( v1_realset1(k1_numbers)
| ~ v2_xreal_0(sK73(k1_numbers))
| ~ v3_xreal_0(sK73(k1_numbers)) ),
inference(superposition,[status(thm)],[c_324522,c_2171]) ).
tcf(c_333913,plain,
( v1_relat_1(k1_numbers)
| ~ v2_xreal_0(sK137(k1_numbers))
| ~ v3_xreal_0(sK137(k1_numbers)) ),
inference(superposition,[status(thm)],[c_324523,c_2171]) ).
tcf(c_333914,plain,
( v5_membered(k1_numbers)
| ~ v2_xreal_0(sK402(k1_numbers))
| ~ v3_xreal_0(sK402(k1_numbers)) ),
inference(superposition,[status(thm)],[c_324656,c_2171]) ).
tcf(c_333916,plain,
( v1_realset1(k5_numbers)
| ~ v2_xreal_0(sK72(k5_numbers))
| ~ v3_xreal_0(sK72(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325463,c_2171]) ).
tcf(c_333917,plain,
( v1_realset1(k5_numbers)
| ~ v2_xreal_0(sK73(k5_numbers))
| ~ v3_xreal_0(sK73(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325534,c_2171]) ).
tcf(c_333918,plain,
( v1_relat_1(k5_numbers)
| ~ v2_xreal_0(sK137(k5_numbers))
| ~ v3_xreal_0(sK137(k5_numbers)) ),
inference(superposition,[status(thm)],[c_325584,c_2171]) ).
tcf(c_333919,plain,
! [X0: $i] :
( ~ v1_int_1(X0)
| ~ v2_xreal_0(k2_xcmplx_0(X0,np__1))
| ~ v3_xreal_0(k2_xcmplx_0(X0,np__1)) ),
inference(superposition,[status(thm)],[c_326267,c_2171]) ).
tcf(c_333920,plain,
! [X0: $i] :
( ~ v1_int_1(X0)
| ~ v2_xreal_0(k6_xcmplx_0(X0,np__1))
| ~ v3_xreal_0(k6_xcmplx_0(X0,np__1)) ),
inference(superposition,[status(thm)],[c_326277,c_2171]) ).
tcf(c_333921,plain,
! [X0: $i] :
( r1_tarski(k1_numbers,X0)
| ~ v2_xreal_0(sK28(k1_numbers,X0))
| ~ v3_xreal_0(sK28(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_326595,c_2171]) ).
tcf(c_333922,plain,
( ~ v2_xreal_0(sK41(k1_numbers))
| ~ v3_xreal_0(sK41(k1_numbers)) ),
inference(superposition,[status(thm)],[c_328327,c_2171]) ).
tcf(c_333923,plain,
( ~ v2_xreal_0(sK47(k1_numbers))
| ~ v3_xreal_0(sK47(k1_numbers)) ),
inference(superposition,[status(thm)],[c_326911,c_2171]) ).
tcf(c_333924,plain,
( ~ v2_xreal_0(sK118(k1_numbers))
| ~ v3_xreal_0(sK118(k1_numbers)) ),
inference(superposition,[status(thm)],[c_328766,c_2171]) ).
tcf(c_333925,plain,
( sP0(k1_numbers)
| v1_funct_1(k1_numbers)
| ~ v2_xreal_0(sK124(k1_numbers))
| ~ v3_xreal_0(sK124(k1_numbers)) ),
inference(superposition,[status(thm)],[c_327204,c_2171]) ).
tcf(c_333926,plain,
( sP0(k1_numbers)
| v1_relat_1(k1_numbers)
| ~ v2_xreal_0(sK124(k1_numbers))
| ~ v3_xreal_0(sK124(k1_numbers)) ),
inference(superposition,[status(thm)],[c_327120,c_2171]) ).
tcf(c_333929,plain,
( ~ v2_xreal_0(sK432(k1_numbers))
| ~ v3_xreal_0(sK432(k1_numbers)) ),
inference(superposition,[status(thm)],[c_330606,c_2171]) ).
tcf(c_333930,plain,
( ~ v2_xreal_0(sK433(k1_numbers))
| ~ v3_xreal_0(sK433(k1_numbers)) ),
inference(superposition,[status(thm)],[c_330609,c_2171]) ).
tcf(c_333931,plain,
( ~ v2_xreal_0(sK434(k1_numbers))
| ~ v3_xreal_0(sK434(k1_numbers)) ),
inference(superposition,[status(thm)],[c_330642,c_2171]) ).
tcf(c_333932,plain,
( ~ v2_xreal_0(sK435(k1_numbers))
| ~ v3_xreal_0(sK435(k1_numbers)) ),
inference(superposition,[status(thm)],[c_330645,c_2171]) ).
tcf(c_333933,plain,
( ~ v2_xreal_0(sK436(k1_numbers))
| ~ v3_xreal_0(sK436(k1_numbers)) ),
inference(superposition,[status(thm)],[c_330648,c_2171]) ).
tcf(c_333934,plain,
( ~ v2_xreal_0(sK437(k1_numbers))
| ~ v3_xreal_0(sK437(k1_numbers)) ),
inference(superposition,[status(thm)],[c_330797,c_2171]) ).
tcf(c_333935,plain,
! [X0: $i] :
( r1_xboole_0(k1_numbers,X0)
| ~ v2_xreal_0(sK439(k1_numbers,X0))
| ~ v3_xreal_0(sK439(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_328928,c_2171]) ).
tcf(c_333936,plain,
( ~ v2_xreal_0(sK29(k1_numbers))
| ~ v3_xreal_0(sK29(k1_numbers)) ),
inference(superposition,[status(thm)],[c_329788,c_2171]) ).
tcf(c_333937,plain,
( ~ v2_xreal_0(sK354(k1_numbers))
| ~ v3_xreal_0(sK354(k1_numbers)) ),
inference(superposition,[status(thm)],[c_332087,c_2171]) ).
tcf(c_333938,plain,
( ~ v5_membered(a_2_0_lopclset(sK23,sK24))
| ~ v2_xreal_0(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v3_xreal_0(sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_333657,c_2171]) ).
tcf(c_333939,plain,
( ~ v2_membered(a_2_0_lopclset(sK23,sK24))
| ~ v2_xreal_0(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v3_xreal_0(sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_332686,c_2171]) ).
tcf(c_333940,plain,
( ~ v2_xreal_0(sK25(k5_numbers,np__0))
| ~ v3_xreal_0(sK25(k5_numbers,np__0)) ),
inference(superposition,[status(thm)],[c_327842,c_2171]) ).
tcf(c_333941,plain,
( ~ v5_membered(u1_struct_0(sK23))
| ~ v2_xreal_0(sK47(u1_struct_0(sK23)))
| ~ v3_xreal_0(sK47(u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_333667,c_2171]) ).
tcf(c_333942,plain,
( ~ v2_membered(u1_struct_0(sK23))
| ~ v2_xreal_0(sK47(u1_struct_0(sK23)))
| ~ v3_xreal_0(sK47(u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_332689,c_2171]) ).
tcf(c_334033,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(sK412(k4_xboole_0(X0,X1))) = k4_xboole_0(X0,X1) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_789,c_2199]) ).
tcf(c_334034,plain,
! [X0: $i] :
( ( k2_relat_1(sK412(k1_card_1(X0))) = k1_card_1(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_837,c_2199]) ).
tcf(c_334035,plain,
! [X0: $i] :
( ( k2_relat_1(sK412(k1_relat_1(X0))) = k1_relat_1(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_324289,c_2199]) ).
tcf(c_334036,plain,
! [X0: $i] :
( ( k2_relat_1(sK412(k2_relat_1(X0))) = k2_relat_1(X0) )
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_839,c_2199]) ).
tcf(c_334037,plain,
! [X0: $i] :
( ( k2_relat_1(sK412(k2_relat_1(X0))) = k2_relat_1(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_324374,c_2199]) ).
tcf(c_334038,plain,
k2_relat_1(sK412(sK205)) = sK205,
inference(superposition,[status(thm)],[c_843,c_2199]) ).
tcf(c_334039,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_relat_1(sK412(sK207(X0))) = sK207(X0) ) ),
inference(superposition,[status(thm)],[c_853,c_2199]) ).
tcf(c_334040,plain,
! [X0: $i] :
( ( k2_relat_1(sK412(k1_zfmisc_1(X0))) = k1_zfmisc_1(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_865,c_2199]) ).
tcf(c_334041,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_relat_1(sK412(sK210(X0))) = sK210(X0) ) ),
inference(superposition,[status(thm)],[c_875,c_2199]) ).
tcf(c_334042,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(sK412(k4_xboole_0(X1,k4_xboole_0(X1,X0)))) = k4_xboole_0(X1,k4_xboole_0(X1,X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_878,c_2199]) ).
tcf(c_334043,plain,
! [X0: $i,X1: $i] : k2_relat_1(sK412(k2_tarski(X0,X1))) = k2_tarski(X0,X1),
inference(superposition,[status(thm)],[c_881,c_2199]) ).
tcf(c_334044,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_relat_1(sK412(sK211(X0))) = sK211(X0) ) ),
inference(superposition,[status(thm)],[c_884,c_2199]) ).
tcf(c_334045,plain,
k2_relat_1(sK412(sK212)) = sK212,
inference(superposition,[status(thm)],[c_889,c_2199]) ).
tcf(c_334046,plain,
k2_relat_1(sK412(sK413)) = sK413,
inference(superposition,[status(thm)],[c_2210,c_2199]) ).
tcf(c_334047,plain,
! [X0: $i] : k2_relat_1(sK412(sK414(X0))) = sK414(X0),
inference(superposition,[status(thm)],[c_2215,c_2199]) ).
tcf(c_334048,plain,
k2_relat_1(sK412(np__0)) = np__0,
inference(superposition,[status(thm)],[c_324073,c_2199]) ).
tcf(c_334049,plain,
k2_relat_1(sK412(sK29(k5_numbers))) = sK29(k5_numbers),
inference(superposition,[status(thm)],[c_324663,c_2199]) ).
tcf(c_334050,plain,
k2_relat_1(sK412(k5_finsub_1(np__0))) = k5_finsub_1(np__0),
inference(superposition,[status(thm)],[c_324881,c_2199]) ).
tcf(c_334051,plain,
! [X0: $i] : k2_relat_1(sK412(sK29(k5_finsub_1(X0)))) = sK29(k5_finsub_1(X0)),
inference(superposition,[status(thm)],[c_325364,c_2199]) ).
tcf(c_334052,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| ( k2_relat_1(sK412(sK72(k5_finsub_1(X0)))) = sK72(k5_finsub_1(X0)) ) ),
inference(superposition,[status(thm)],[c_325460,c_2199]) ).
tcf(c_334053,plain,
( v1_realset1(k5_numbers)
| ( k2_relat_1(sK412(sK72(k5_numbers))) = sK72(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_325466,c_2199]) ).
tcf(c_334054,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| ( k2_relat_1(sK412(sK73(k5_finsub_1(X0)))) = sK73(k5_finsub_1(X0)) ) ),
inference(superposition,[status(thm)],[c_325531,c_2199]) ).
tcf(c_334055,plain,
( v1_realset1(k5_numbers)
| ( k2_relat_1(sK412(sK73(k5_numbers))) = sK73(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_325537,c_2199]) ).
tcf(c_334056,plain,
k2_relat_1(sK412(k2_finseq_1(np__1))) = k2_finseq_1(np__1),
inference(superposition,[status(thm)],[c_325613,c_2199]) ).
tcf(c_334057,plain,
k2_relat_1(sK412(k2_finseq_1(np__2))) = k2_finseq_1(np__2),
inference(superposition,[status(thm)],[c_325629,c_2199]) ).
tcf(c_334058,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| ( k2_relat_1(sK412(sK137(k5_finsub_1(X0)))) = sK137(k5_finsub_1(X0)) ) ),
inference(superposition,[status(thm)],[c_325581,c_2199]) ).
tcf(c_334059,plain,
( v1_relat_1(k5_numbers)
| ( k2_relat_1(sK412(sK137(k5_numbers))) = sK137(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_325587,c_2199]) ).
tcf(c_334060,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| ( k2_relat_1(sK412(sK355(k5_finsub_1(X0)))) = sK355(k5_finsub_1(X0)) ) ),
inference(superposition,[status(thm)],[c_325712,c_2199]) ).
tcf(c_334061,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| ( k2_relat_1(sK412(sK402(k5_finsub_1(X0)))) = sK402(k5_finsub_1(X0)) ) ),
inference(superposition,[status(thm)],[c_325779,c_2199]) ).
tcf(c_334062,plain,
! [X0: $i] :
( ( k2_relat_1(sK412(sK204(X0))) = sK204(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_327515,c_2199]) ).
tcf(c_334063,plain,
! [X0: $i] :
( v2_membered(k5_finsub_1(X0))
| ( k2_relat_1(sK412(sK47(k5_finsub_1(X0)))) = sK47(k5_finsub_1(X0)) ) ),
inference(superposition,[status(thm)],[c_328473,c_2199]) ).
tcf(c_334064,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| ( k2_relat_1(sK412(sK47(k5_finsub_1(X0)))) = sK47(k5_finsub_1(X0)) ) ),
inference(superposition,[status(thm)],[c_327486,c_2199]) ).
tcf(c_334065,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| ( k2_relat_1(sK412(sK47(k5_finsub_1(X0)))) = sK47(k5_finsub_1(X0)) ) ),
inference(superposition,[status(thm)],[c_327385,c_2199]) ).
tcf(c_334066,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| ( k2_relat_1(sK412(sK47(k5_finsub_1(X0)))) = sK47(k5_finsub_1(X0)) ) ),
inference(superposition,[status(thm)],[c_327297,c_2199]) ).
tcf(c_334067,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| ( k2_relat_1(sK412(sK47(k5_finsub_1(X0)))) = sK47(k5_finsub_1(X0)) ) ),
inference(superposition,[status(thm)],[c_327251,c_2199]) ).
tcf(c_334068,plain,
k2_relat_1(sK412(sK47(k5_numbers))) = sK47(k5_numbers),
inference(superposition,[status(thm)],[c_327290,c_2199]) ).
tcf(c_334069,plain,
! [X0: $i] :
( ( k2_relat_1(sK412(sK403(X0))) = sK403(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_328405,c_2199]) ).
tcf(c_334070,plain,
! [X0: $i] :
( ( k2_relat_1(sK412(sK29(X0))) = sK29(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329965,c_2199]) ).
tcf(c_334071,plain,
k2_relat_1(sK412(k5_finsub_1(sK205))) = k5_finsub_1(sK205),
inference(superposition,[status(thm)],[c_331218,c_2199]) ).
tcf(c_334072,plain,
k2_relat_1(sK412(sK47(k5_finsub_1(sK205)))) = sK47(k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_331282,c_2199]) ).
tcf(c_334073,plain,
k2_relat_1(sK412(sK53(sK205))) = sK53(sK205),
inference(superposition,[status(thm)],[c_331346,c_2199]) ).
tcf(c_334074,plain,
k2_relat_1(sK412(sK210(sK205))) = sK210(sK205),
inference(superposition,[status(thm)],[c_331360,c_2199]) ).
tcf(c_334075,plain,
k2_relat_1(sK412(sK211(sK205))) = sK211(sK205),
inference(superposition,[status(thm)],[c_331374,c_2199]) ).
tcf(c_334076,plain,
k2_relat_1(sK412(k5_finsub_1(sK212))) = k5_finsub_1(sK212),
inference(superposition,[status(thm)],[c_331627,c_2199]) ).
tcf(c_334077,plain,
k2_relat_1(sK412(sK47(k5_finsub_1(sK212)))) = sK47(k5_finsub_1(sK212)),
inference(superposition,[status(thm)],[c_331811,c_2199]) ).
tcf(c_334078,plain,
k2_relat_1(sK412(sK53(sK212))) = sK53(sK212),
inference(superposition,[status(thm)],[c_331938,c_2199]) ).
tcf(c_334079,plain,
k2_relat_1(sK412(sK210(sK212))) = sK210(sK212),
inference(superposition,[status(thm)],[c_331953,c_2199]) ).
tcf(c_334080,plain,
k2_relat_1(sK412(sK211(sK212))) = sK211(sK212),
inference(superposition,[status(thm)],[c_331968,c_2199]) ).
tcf(c_334081,plain,
k2_relat_1(sK412(k5_finsub_1(sK413))) = k5_finsub_1(sK413),
inference(superposition,[status(thm)],[c_333131,c_2199]) ).
tcf(c_334082,plain,
k2_relat_1(sK412(sK25(k5_numbers,np__0))) = sK25(k5_numbers,np__0),
inference(superposition,[status(thm)],[c_327838,c_2199]) ).
tcf(c_334136,plain,
k2_relat_1(sK412(sK47(k5_finsub_1(sK413)))) = sK47(k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_333643,c_2199]) ).
tcf(c_334137,plain,
k1_zfmisc_1(sK47(k5_finsub_1(sK413))) = k5_finsub_1(sK47(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_333643,c_859]) ).
tcf(c_334141,plain,
( v1_xcmplx_0(sK53(sK413))
| ~ v1_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333132,c_1808]) ).
tcf(c_334142,plain,
( v1_xreal_0(sK53(sK413))
| ~ v2_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333132,c_1807]) ).
tcf(c_334143,plain,
( v1_xcmplx_0(sK53(sK413))
| ~ v2_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333132,c_1806]) ).
tcf(c_334145,plain,
( v1_xboole_0(k5_finsub_1(sK413))
| r2_hidden(sK53(sK413),k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333132,c_188]) ).
tcf(c_334146,plain,
v1_finset_1(sK53(sK413)),
inference(superposition,[status(thm)],[c_333132,c_860]) ).
tcf(c_334147,plain,
r1_tarski(sK53(sK413),sK413),
inference(superposition,[status(thm)],[c_333132,c_93114]) ).
tcf(c_334154,plain,
r2_hidden(sK53(sK413),k5_finsub_1(sK413)),
inference(forward_subsumption_resolution,[status(thm)],[c_334145,c_333127]) ).
tcf(c_334217,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK39(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_149,c_2249]) ).
tcf(c_334218,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK38(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_151,c_2249]) ).
tcf(c_334219,plain,
k7_relat_1(np__0,np__0) = np__0,
inference(superposition,[status(thm)],[c_2204,c_2249]) ).
tcf(c_334220,plain,
k7_relat_1(sK44,np__0) = np__0,
inference(superposition,[status(thm)],[c_174,c_2249]) ).
tcf(c_334221,plain,
k7_relat_1(sK45,np__0) = np__0,
inference(superposition,[status(thm)],[c_177,c_2249]) ).
tcf(c_334222,plain,
! [X0: $i,X1: $i] : k7_relat_1(k2_zfmisc_1(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_225,c_2249]) ).
tcf(c_334223,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK58(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_244,c_2249]) ).
tcf(c_334224,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK89(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_407,c_2249]) ).
tcf(c_334225,plain,
! [X0: $i] :
( ( k7_relat_1(k1_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_434,c_2249]) ).
tcf(c_334226,plain,
! [X0: $i] :
( ( k7_relat_1(k2_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_551,c_2249]) ).
tcf(c_334227,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_792,c_2249]) ).
tcf(c_334228,plain,
k7_relat_1(sK205,np__0) = np__0,
inference(superposition,[status(thm)],[c_841,c_2249]) ).
tcf(c_334229,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_925,c_2249]) ).
tcf(c_334230,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK237(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_1053,c_2249]) ).
tcf(c_334231,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK238(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_1057,c_2249]) ).
tcf(c_334234,plain,
k7_relat_1(sK293,np__0) = np__0,
inference(superposition,[status(thm)],[c_1365,c_2249]) ).
tcf(c_334235,plain,
! [X0: $i] :
( ( k7_relat_1(sK412(X0),np__0) = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2196,c_2249]) ).
tcf(c_334236,plain,
k7_relat_1(sK413,np__0) = np__0,
inference(superposition,[status(thm)],[c_2208,c_2249]) ).
tcf(c_334237,plain,
! [X0: $i] : k7_relat_1(sK414(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_2213,c_2249]) ).
tcf(c_334238,plain,
k7_relat_1(sK415,np__0) = np__0,
inference(superposition,[status(thm)],[c_2218,c_2249]) ).
tcf(c_334239,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_2240,c_2249]) ).
tcf(c_334240,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK29(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_329799,c_2249]) ).
tcf(c_334241,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK47(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_329821,c_2249]) ).
tcf(c_334242,plain,
! [X0: $i] :
( ( k7_relat_1(sK29(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329968,c_2249]) ).
tcf(c_334243,plain,
k7_relat_1(sK47(k5_finsub_1(sK205)),np__0) = np__0,
inference(superposition,[status(thm)],[c_331281,c_2249]) ).
tcf(c_334244,plain,
k7_relat_1(sK53(sK205),np__0) = np__0,
inference(superposition,[status(thm)],[c_331354,c_2249]) ).
tcf(c_334245,plain,
k7_relat_1(sK210(sK205),np__0) = np__0,
inference(superposition,[status(thm)],[c_331368,c_2249]) ).
tcf(c_334246,plain,
k7_relat_1(sK211(sK205),np__0) = np__0,
inference(superposition,[status(thm)],[c_331382,c_2249]) ).
tcf(c_334247,plain,
k7_relat_1(sK47(k5_finsub_1(sK413)),np__0) = np__0,
inference(superposition,[status(thm)],[c_333642,c_2249]) ).
tcf(c_334278,plain,
! [X0: $i] :
( r1_tarski(k1_relat_1(np__0),X0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_2248,c_2270]) ).
tcf(c_334279,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_2270,c_872]) ).
tcf(c_334280,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_2270,c_70]) ).
tcf(c_334281,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_2270,c_69]) ).
tcf(c_334282,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_relat_1(k7_relat_1(X2,X1)))
| m1_subset_1(sK25(X0,k1_relat_1(k7_relat_1(X2,X1))),X0)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2270,c_97752]) ).
tcf(c_334283,plain,
! [X0: $i] :
( ( k1_relat_1(k7_relat_1(X0,np__0)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2270,c_95]) ).
tcf(c_334284,plain,
! [X0: $i] :
( v1_membered(k1_relat_1(k7_relat_1(X0,k1_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2270,c_326348]) ).
tcf(c_334285,plain,
! [X0: $i] :
( v2_membered(k1_relat_1(k7_relat_1(X0,k1_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2270,c_326347]) ).
tcf(c_334286,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_relat_1(k7_relat_1(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2))))),k1_zfmisc_1(k4_xboole_0(X1,X2)))
| m1_subset_1(sK25(k1_relat_1(k7_relat_1(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2))))),k1_zfmisc_1(k4_xboole_0(X1,X2))),k1_relat_1(k7_relat_1(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2))))))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2270,c_323864]) ).
tcf(c_334287,plain,
! [X0: $i] :
( r1_tarski(np__0,X0)
| ~ v1_relat_1(np__0) ),
inference(light_normalisation,[status(thm)],[c_334278,c_426]) ).
tcf(c_334313,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k10_relat_1(sK39(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_149,c_2321]) ).
tcf(c_334314,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k10_relat_1(sK38(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_151,c_2321]) ).
tcf(c_334315,plain,
k10_relat_1(np__0,np__0) = np__0,
inference(superposition,[status(thm)],[c_2204,c_2321]) ).
tcf(c_334316,plain,
k10_relat_1(sK44,np__0) = np__0,
inference(superposition,[status(thm)],[c_174,c_2321]) ).
tcf(c_334317,plain,
k10_relat_1(sK45,np__0) = np__0,
inference(superposition,[status(thm)],[c_177,c_2321]) ).
tcf(c_334318,plain,
! [X0: $i,X1: $i] : k10_relat_1(k2_zfmisc_1(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_225,c_2321]) ).
tcf(c_334319,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k10_relat_1(sK58(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_244,c_2321]) ).
tcf(c_334320,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k10_relat_1(sK89(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_407,c_2321]) ).
tcf(c_334321,plain,
! [X0: $i] :
( ( k10_relat_1(k1_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_434,c_2321]) ).
tcf(c_334322,plain,
! [X0: $i] :
( ( k10_relat_1(k2_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_551,c_2321]) ).
tcf(c_334323,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_792,c_2321]) ).
tcf(c_334324,plain,
k10_relat_1(sK205,np__0) = np__0,
inference(superposition,[status(thm)],[c_841,c_2321]) ).
tcf(c_334325,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_925,c_2321]) ).
tcf(c_334326,plain,
! [X0: $i,X1: $i] : k10_relat_1(sK237(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_1053,c_2321]) ).
tcf(c_334327,plain,
! [X0: $i,X1: $i] : k10_relat_1(sK238(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_1057,c_2321]) ).
tcf(c_334330,plain,
k10_relat_1(sK293,np__0) = np__0,
inference(superposition,[status(thm)],[c_1365,c_2321]) ).
tcf(c_334331,plain,
! [X0: $i] :
( ( k10_relat_1(sK412(X0),np__0) = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2196,c_2321]) ).
tcf(c_334332,plain,
k10_relat_1(sK413,np__0) = np__0,
inference(superposition,[status(thm)],[c_2208,c_2321]) ).
tcf(c_334333,plain,
! [X0: $i] : k10_relat_1(sK414(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_2213,c_2321]) ).
tcf(c_334334,plain,
k10_relat_1(sK415,np__0) = np__0,
inference(superposition,[status(thm)],[c_2218,c_2321]) ).
tcf(c_334335,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_2240,c_2321]) ).
tcf(c_334336,plain,
! [X0: $i,X1: $i] : k10_relat_1(sK29(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_329799,c_2321]) ).
tcf(c_334337,plain,
! [X0: $i,X1: $i] : k10_relat_1(sK47(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_329821,c_2321]) ).
tcf(c_334338,plain,
! [X0: $i] :
( ( k10_relat_1(sK29(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329968,c_2321]) ).
tcf(c_334339,plain,
k10_relat_1(sK47(k5_finsub_1(sK205)),np__0) = np__0,
inference(superposition,[status(thm)],[c_331281,c_2321]) ).
tcf(c_334340,plain,
k10_relat_1(sK53(sK205),np__0) = np__0,
inference(superposition,[status(thm)],[c_331354,c_2321]) ).
tcf(c_334341,plain,
k10_relat_1(sK210(sK205),np__0) = np__0,
inference(superposition,[status(thm)],[c_331368,c_2321]) ).
tcf(c_334342,plain,
k10_relat_1(sK211(sK205),np__0) = np__0,
inference(superposition,[status(thm)],[c_331382,c_2321]) ).
tcf(c_334343,plain,
k10_relat_1(sK47(k5_finsub_1(sK413)),np__0) = np__0,
inference(superposition,[status(thm)],[c_333642,c_2321]) ).
tcf(c_334374,plain,
( r1_tarski(np__0,k1_relat_1(np__0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_2320,c_2325]) ).
tcf(c_334375,plain,
! [X0: $i] :
( r1_tarski(k10_relat_1(np__0,X0),np__0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_426,c_2325]) ).
tcf(c_334376,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_2325,c_872]) ).
tcf(c_334377,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_2325,c_70]) ).
tcf(c_334378,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_2325,c_69]) ).
tcf(c_334379,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k10_relat_1(X1,X2))
| m1_subset_1(sK25(X0,k10_relat_1(X1,X2)),X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k1_relat_1(X1)) ),
inference(superposition,[status(thm)],[c_2325,c_97752]) ).
tcf(c_334394,plain,
k2_relat_1(sK412(sK53(sK413))) = sK53(sK413),
inference(superposition,[status(thm)],[c_334146,c_2199]) ).
tcf(c_334395,plain,
k1_zfmisc_1(sK53(sK413)) = k5_finsub_1(sK53(sK413)),
inference(superposition,[status(thm)],[c_334146,c_859]) ).
tcf(c_334397,plain,
( v1_relat_1(sK53(sK413))
| ~ v1_relat_1(sK413) ),
inference(superposition,[status(thm)],[c_334147,c_70]) ).
tcf(c_334398,plain,
~ r2_hidden(sK413,sK53(sK413)),
inference(superposition,[status(thm)],[c_334147,c_69]) ).
tcf(c_334399,plain,
! [X0: $i] :
( r1_tarski(X0,sK53(sK413))
| m1_subset_1(sK25(X0,sK53(sK413)),X0)
| ~ r1_tarski(X0,sK413) ),
inference(superposition,[status(thm)],[c_334147,c_97752]) ).
tcf(c_334400,plain,
v1_relat_1(sK53(sK413)),
inference(forward_subsumption_resolution,[status(thm)],[c_334397,c_2208]) ).
tcf(c_334404,plain,
k10_relat_1(sK53(sK413),np__0) = np__0,
inference(superposition,[status(thm)],[c_334400,c_2321]) ).
tcf(c_334405,plain,
k7_relat_1(sK53(sK413),np__0) = np__0,
inference(superposition,[status(thm)],[c_334400,c_2249]) ).
tcf(c_334406,plain,
k5_relat_1(sK53(sK413),np__0) = np__0,
inference(superposition,[status(thm)],[c_334400,c_1272]) ).
tcf(c_334407,plain,
k5_relat_1(np__0,sK53(sK413)) = np__0,
inference(superposition,[status(thm)],[c_334400,c_1271]) ).
tcf(c_334408,plain,
( v1_xcmplx_0(sK210(sK413))
| ~ v1_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333133,c_1808]) ).
tcf(c_334409,plain,
( v1_xreal_0(sK210(sK413))
| ~ v2_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333133,c_1807]) ).
tcf(c_334410,plain,
( v1_xcmplx_0(sK210(sK413))
| ~ v2_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333133,c_1806]) ).
tcf(c_334412,plain,
( v1_xboole_0(k5_finsub_1(sK413))
| r2_hidden(sK210(sK413),k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333133,c_188]) ).
tcf(c_334413,plain,
v1_finset_1(sK210(sK413)),
inference(superposition,[status(thm)],[c_333133,c_860]) ).
tcf(c_334414,plain,
r1_tarski(sK210(sK413),sK413),
inference(superposition,[status(thm)],[c_333133,c_93114]) ).
tcf(c_334421,plain,
r2_hidden(sK210(sK413),k5_finsub_1(sK413)),
inference(forward_subsumption_resolution,[status(thm)],[c_334412,c_333127]) ).
tcf(c_334432,plain,
k2_relat_1(sK412(sK210(sK413))) = sK210(sK413),
inference(superposition,[status(thm)],[c_334413,c_2199]) ).
tcf(c_334433,plain,
k1_zfmisc_1(sK210(sK413)) = k5_finsub_1(sK210(sK413)),
inference(superposition,[status(thm)],[c_334413,c_859]) ).
tcf(c_334435,plain,
( v1_relat_1(sK210(sK413))
| ~ v1_relat_1(sK413) ),
inference(superposition,[status(thm)],[c_334414,c_70]) ).
tcf(c_334436,plain,
~ r2_hidden(sK413,sK210(sK413)),
inference(superposition,[status(thm)],[c_334414,c_69]) ).
tcf(c_334437,plain,
! [X0: $i] :
( r1_tarski(X0,sK210(sK413))
| m1_subset_1(sK25(X0,sK210(sK413)),X0)
| ~ r1_tarski(X0,sK413) ),
inference(superposition,[status(thm)],[c_334414,c_97752]) ).
tcf(c_334438,plain,
v1_relat_1(sK210(sK413)),
inference(forward_subsumption_resolution,[status(thm)],[c_334435,c_2208]) ).
tcf(c_334442,plain,
k10_relat_1(sK210(sK413),np__0) = np__0,
inference(superposition,[status(thm)],[c_334438,c_2321]) ).
tcf(c_334443,plain,
k7_relat_1(sK210(sK413),np__0) = np__0,
inference(superposition,[status(thm)],[c_334438,c_2249]) ).
tcf(c_334444,plain,
k5_relat_1(sK210(sK413),np__0) = np__0,
inference(superposition,[status(thm)],[c_334438,c_1272]) ).
tcf(c_334445,plain,
k5_relat_1(np__0,sK210(sK413)) = np__0,
inference(superposition,[status(thm)],[c_334438,c_1271]) ).
tcf(c_334446,plain,
( v1_xcmplx_0(sK211(sK413))
| ~ v1_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333134,c_1808]) ).
tcf(c_334447,plain,
( v1_xreal_0(sK211(sK413))
| ~ v2_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333134,c_1807]) ).
tcf(c_334448,plain,
( v1_xcmplx_0(sK211(sK413))
| ~ v2_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333134,c_1806]) ).
tcf(c_334450,plain,
( v1_xboole_0(k5_finsub_1(sK413))
| r2_hidden(sK211(sK413),k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333134,c_188]) ).
tcf(c_334451,plain,
v1_finset_1(sK211(sK413)),
inference(superposition,[status(thm)],[c_333134,c_860]) ).
tcf(c_334452,plain,
r1_tarski(sK211(sK413),sK413),
inference(superposition,[status(thm)],[c_333134,c_93114]) ).
tcf(c_334459,plain,
r2_hidden(sK211(sK413),k5_finsub_1(sK413)),
inference(forward_subsumption_resolution,[status(thm)],[c_334450,c_333127]) ).
tcf(c_334460,plain,
k2_relat_1(sK412(sK211(sK413))) = sK211(sK413),
inference(superposition,[status(thm)],[c_334451,c_2199]) ).
tcf(c_334461,plain,
k1_zfmisc_1(sK211(sK413)) = k5_finsub_1(sK211(sK413)),
inference(superposition,[status(thm)],[c_334451,c_859]) ).
tcf(c_334463,plain,
( v1_relat_1(sK211(sK413))
| ~ v1_relat_1(sK413) ),
inference(superposition,[status(thm)],[c_334452,c_70]) ).
tcf(c_334464,plain,
~ r2_hidden(sK413,sK211(sK413)),
inference(superposition,[status(thm)],[c_334452,c_69]) ).
tcf(c_334465,plain,
! [X0: $i] :
( r1_tarski(X0,sK211(sK413))
| m1_subset_1(sK25(X0,sK211(sK413)),X0)
| ~ r1_tarski(X0,sK413) ),
inference(superposition,[status(thm)],[c_334452,c_97752]) ).
tcf(c_334466,plain,
v1_relat_1(sK211(sK413)),
inference(forward_subsumption_resolution,[status(thm)],[c_334463,c_2208]) ).
tcf(c_334470,plain,
k10_relat_1(sK211(sK413),np__0) = np__0,
inference(superposition,[status(thm)],[c_334466,c_2321]) ).
tcf(c_334471,plain,
k7_relat_1(sK211(sK413),np__0) = np__0,
inference(superposition,[status(thm)],[c_334466,c_2249]) ).
tcf(c_334472,plain,
k5_relat_1(sK211(sK413),np__0) = np__0,
inference(superposition,[status(thm)],[c_334466,c_1272]) ).
tcf(c_334473,plain,
k5_relat_1(np__0,sK211(sK413)) = np__0,
inference(superposition,[status(thm)],[c_334466,c_1271]) ).
tcf(c_334480,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k9_relat_1(sK39(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_149,c_2363]) ).
tcf(c_334481,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k9_relat_1(sK38(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_151,c_2363]) ).
tcf(c_334482,plain,
k9_relat_1(np__0,np__0) = np__0,
inference(superposition,[status(thm)],[c_2204,c_2363]) ).
tcf(c_334483,plain,
k9_relat_1(sK44,np__0) = np__0,
inference(superposition,[status(thm)],[c_174,c_2363]) ).
tcf(c_334484,plain,
k9_relat_1(sK45,np__0) = np__0,
inference(superposition,[status(thm)],[c_177,c_2363]) ).
tcf(c_334485,plain,
! [X0: $i,X1: $i] : k9_relat_1(k2_zfmisc_1(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_225,c_2363]) ).
tcf(c_334486,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k9_relat_1(sK58(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_244,c_2363]) ).
tcf(c_334487,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k9_relat_1(sK89(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_407,c_2363]) ).
tcf(c_334488,plain,
! [X0: $i] :
( ( k9_relat_1(k1_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_434,c_2363]) ).
tcf(c_334489,plain,
! [X0: $i] :
( ( k9_relat_1(k2_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_551,c_2363]) ).
tcf(c_334490,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_792,c_2363]) ).
tcf(c_334491,plain,
k9_relat_1(sK205,np__0) = np__0,
inference(superposition,[status(thm)],[c_841,c_2363]) ).
tcf(c_334492,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_925,c_2363]) ).
tcf(c_334493,plain,
! [X0: $i,X1: $i] : k9_relat_1(sK237(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_1053,c_2363]) ).
tcf(c_334494,plain,
! [X0: $i,X1: $i] : k9_relat_1(sK238(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_1057,c_2363]) ).
tcf(c_334497,plain,
k9_relat_1(sK293,np__0) = np__0,
inference(superposition,[status(thm)],[c_1365,c_2363]) ).
tcf(c_334498,plain,
! [X0: $i] :
( ( k9_relat_1(sK412(X0),np__0) = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2196,c_2363]) ).
tcf(c_334499,plain,
k9_relat_1(sK413,np__0) = np__0,
inference(superposition,[status(thm)],[c_2208,c_2363]) ).
tcf(c_334500,plain,
! [X0: $i] : k9_relat_1(sK414(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_2213,c_2363]) ).
tcf(c_334501,plain,
k9_relat_1(sK415,np__0) = np__0,
inference(superposition,[status(thm)],[c_2218,c_2363]) ).
tcf(c_334502,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_2240,c_2363]) ).
tcf(c_334503,plain,
! [X0: $i,X1: $i] : k9_relat_1(sK29(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_329799,c_2363]) ).
tcf(c_334504,plain,
! [X0: $i,X1: $i] : k9_relat_1(sK47(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_329821,c_2363]) ).
tcf(c_334505,plain,
! [X0: $i] :
( ( k9_relat_1(sK29(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329968,c_2363]) ).
tcf(c_334506,plain,
k9_relat_1(sK47(k5_finsub_1(sK205)),np__0) = np__0,
inference(superposition,[status(thm)],[c_331281,c_2363]) ).
tcf(c_334507,plain,
k9_relat_1(sK53(sK205),np__0) = np__0,
inference(superposition,[status(thm)],[c_331354,c_2363]) ).
tcf(c_334508,plain,
k9_relat_1(sK210(sK205),np__0) = np__0,
inference(superposition,[status(thm)],[c_331368,c_2363]) ).
tcf(c_334509,plain,
k9_relat_1(sK211(sK205),np__0) = np__0,
inference(superposition,[status(thm)],[c_331382,c_2363]) ).
tcf(c_334510,plain,
k9_relat_1(sK47(k5_finsub_1(sK413)),np__0) = np__0,
inference(superposition,[status(thm)],[c_333642,c_2363]) ).
tcf(c_334511,plain,
k9_relat_1(sK53(sK413),np__0) = np__0,
inference(superposition,[status(thm)],[c_334400,c_2363]) ).
tcf(c_334512,plain,
k9_relat_1(sK210(sK413),np__0) = np__0,
inference(superposition,[status(thm)],[c_334438,c_2363]) ).
tcf(c_334513,plain,
k9_relat_1(sK211(sK413),np__0) = np__0,
inference(superposition,[status(thm)],[c_334466,c_2363]) ).
tcf(c_334544,plain,
( r1_tarski(np__0,k2_relat_1(np__0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_2362,c_2367]) ).
tcf(c_334545,plain,
! [X0: $i] :
( r1_tarski(k9_relat_1(np__0,X0),np__0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_539,c_2367]) ).
tcf(c_334546,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_2367,c_872]) ).
tcf(c_334547,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_2367,c_70]) ).
tcf(c_334548,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_2367,c_69]) ).
tcf(c_334549,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k9_relat_1(X1,X2))
| m1_subset_1(sK25(X0,k9_relat_1(X1,X2)),X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k2_relat_1(X1)) ),
inference(superposition,[status(thm)],[c_2367,c_97752]) ).
tcf(c_334573,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_281,c_2400]) ).
tcf(c_334574,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_812,c_2400]) ).
tcf(c_334575,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k4_xboole_0(X0,X1),X2),X0),
inference(superposition,[status(thm)],[c_819,c_2400]) ).
tcf(c_334576,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_2269,c_2400]) ).
tcf(c_334577,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_2270,c_2400]) ).
tcf(c_334578,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_tarski(sK53(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_326377,c_2400]) ).
tcf(c_334579,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_tarski(sK210(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_326378,c_2400]) ).
tcf(c_334580,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_tarski(sK211(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_326379,c_2400]) ).
tcf(c_334581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X0)
| r1_tarski(sK26(k5_finsub_1(k4_xboole_0(X1,X2)),X3,X0),X1)
| ~ r1_tarski(X3,k5_finsub_1(k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,k5_finsub_1(k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_323884,c_2400]) ).
tcf(c_334582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_tarski(sK25(k5_finsub_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),X0)
| ~ r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_323943,c_2400]) ).
tcf(c_334583,plain,
! [X0: $i,X1: $i] : r1_tarski(sK29(k5_finsub_1(k4_xboole_0(X0,X1))),X0),
inference(superposition,[status(thm)],[c_323947,c_2400]) ).
tcf(c_334584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_tarski(sK25(k5_finsub_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),X0)
| ~ r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_327049,c_2400]) ).
tcf(c_334585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X4,X3)
| r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),sK26(k5_finsub_1(X2),X4,X3))
| r1_tarski(sK25(k5_finsub_1(k4_xboole_0(X0,X1)),sK26(k5_finsub_1(X2),X4,X3)),X0)
| ~ r1_tarski(X4,k5_finsub_1(X2))
| ~ r1_tarski(X3,k5_finsub_1(X2))
| ~ r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_324241,c_2400]) ).
tcf(c_334586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),k4_xboole_0(X3,k4_xboole_0(X3,X2)))
| r1_tarski(sK25(k5_finsub_1(k4_xboole_0(X0,X1)),k4_xboole_0(X3,k4_xboole_0(X3,X2))),X0)
| ~ r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_324474,c_2400]) ).
tcf(c_334587,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,X2))),X1),
inference(superposition,[status(thm)],[c_324338,c_2400]) ).
tcf(c_334588,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),np__0)
| r1_tarski(sK25(k5_finsub_1(k4_xboole_0(X0,X1)),np__0),X0) ),
inference(superposition,[status(thm)],[c_324147,c_2400]) ).
tcf(c_334589,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_tarski(sK207(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_325276,c_2400]) ).
tcf(c_334590,plain,
! [X0: $i,X1: $i] : r1_tarski(sK29(k1_zfmisc_1(k4_xboole_0(X0,X1))),X0),
inference(superposition,[status(thm)],[c_326374,c_2400]) ).
tcf(c_334591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X0)
| r1_tarski(sK26(k1_zfmisc_1(k4_xboole_0(X1,X2)),X3,X0),X1)
| ~ r1_tarski(X3,k1_zfmisc_1(k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_326381,c_2400]) ).
tcf(c_334592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),X0)
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_326382,c_2400]) ).
tcf(c_334593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),X0)
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_327861,c_2400]) ).
tcf(c_334594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X4,X3)
| r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),sK26(k5_finsub_1(X2),X4,X3))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),sK26(k5_finsub_1(X2),X4,X3)),X0)
| ~ r1_tarski(X4,k5_finsub_1(X2))
| ~ r1_tarski(X3,k5_finsub_1(X2))
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_326385,c_2400]) ).
tcf(c_334595,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),X2)
| r1_tarski(sK28(k1_zfmisc_1(k4_xboole_0(X0,X1)),X2),X0) ),
inference(superposition,[status(thm)],[c_326593,c_2400]) ).
tcf(c_334596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),k2_xboole_0(X3,X2))
| r1_tarski(sK25(k5_finsub_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)),X0) ),
inference(superposition,[status(thm)],[c_330258,c_2400]) ).
tcf(c_334597,plain,
! [X0: $i,X1: $i] : r1_tarski(sK47(k1_zfmisc_1(k4_xboole_0(X0,X1))),X0),
inference(superposition,[status(thm)],[c_328444,c_2400]) ).
tcf(c_334598,plain,
! [X0: $i,X1: $i] : r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),np__0),X0),
inference(superposition,[status(thm)],[c_328139,c_2400]) ).
tcf(c_334599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X3,k4_xboole_0(X3,X2)))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X3,k4_xboole_0(X3,X2))),X0)
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_331985,c_2400]) ).
tcf(c_334600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X3,X2))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X3,X2)),X0)
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_331819,c_2400]) ).
tcf(c_334605,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_334575,c_497]) ).
tcf(c_334680,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_281,c_2401]) ).
tcf(c_334681,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_812,c_2401]) ).
tcf(c_334682,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_819,c_2401]) ).
tcf(c_334683,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_2269,c_2401]) ).
tcf(c_334684,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_2270,c_2401]) ).
tcf(c_334685,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_xboole_0(sK53(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_326377,c_2401]) ).
tcf(c_334686,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_xboole_0(sK210(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_326378,c_2401]) ).
tcf(c_334687,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_xboole_0(sK211(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_326379,c_2401]) ).
tcf(c_334688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X0)
| r1_xboole_0(sK26(k5_finsub_1(k4_xboole_0(X1,X2)),X3,X0),X2)
| ~ r1_tarski(X3,k5_finsub_1(k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,k5_finsub_1(k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_323884,c_2401]) ).
tcf(c_334689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_xboole_0(sK25(k5_finsub_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),X1)
| ~ r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_323943,c_2401]) ).
tcf(c_334690,plain,
! [X0: $i,X1: $i] : r1_xboole_0(sK29(k5_finsub_1(k4_xboole_0(X0,X1))),X1),
inference(superposition,[status(thm)],[c_323947,c_2401]) ).
tcf(c_334691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_xboole_0(sK25(k5_finsub_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),X1)
| ~ r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_327049,c_2401]) ).
tcf(c_334692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X4,X3)
| r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),sK26(k5_finsub_1(X2),X4,X3))
| r1_xboole_0(sK25(k5_finsub_1(k4_xboole_0(X0,X1)),sK26(k5_finsub_1(X2),X4,X3)),X1)
| ~ r1_tarski(X4,k5_finsub_1(X2))
| ~ r1_tarski(X3,k5_finsub_1(X2))
| ~ r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_324241,c_2401]) ).
tcf(c_334693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),k4_xboole_0(X3,k4_xboole_0(X3,X2)))
| r1_xboole_0(sK25(k5_finsub_1(k4_xboole_0(X0,X1)),k4_xboole_0(X3,k4_xboole_0(X3,X2))),X1)
| ~ r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_324474,c_2401]) ).
tcf(c_334694,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,X2))),X2),
inference(superposition,[status(thm)],[c_324338,c_2401]) ).
tcf(c_334695,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),np__0)
| r1_xboole_0(sK25(k5_finsub_1(k4_xboole_0(X0,X1)),np__0),X1) ),
inference(superposition,[status(thm)],[c_324147,c_2401]) ).
tcf(c_334696,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_xboole_0(sK207(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_325276,c_2401]) ).
tcf(c_334697,plain,
! [X0: $i,X1: $i] : r1_xboole_0(sK29(k1_zfmisc_1(k4_xboole_0(X0,X1))),X1),
inference(superposition,[status(thm)],[c_326374,c_2401]) ).
tcf(c_334698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X0)
| r1_xboole_0(sK26(k1_zfmisc_1(k4_xboole_0(X1,X2)),X3,X0),X2)
| ~ r1_tarski(X3,k1_zfmisc_1(k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_326381,c_2401]) ).
tcf(c_334699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_xboole_0(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),X1)
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_326382,c_2401]) ).
tcf(c_334700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_xboole_0(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),X1)
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_327861,c_2401]) ).
tcf(c_334701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X4,X3)
| r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),sK26(k5_finsub_1(X2),X4,X3))
| r1_xboole_0(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),sK26(k5_finsub_1(X2),X4,X3)),X1)
| ~ r1_tarski(X4,k5_finsub_1(X2))
| ~ r1_tarski(X3,k5_finsub_1(X2))
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_326385,c_2401]) ).
tcf(c_334702,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),X2)
| r1_xboole_0(sK28(k1_zfmisc_1(k4_xboole_0(X0,X1)),X2),X1) ),
inference(superposition,[status(thm)],[c_326593,c_2401]) ).
tcf(c_334703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),k2_xboole_0(X3,X2))
| r1_xboole_0(sK25(k5_finsub_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)),X1) ),
inference(superposition,[status(thm)],[c_330258,c_2401]) ).
tcf(c_334704,plain,
! [X0: $i,X1: $i] : r1_xboole_0(sK47(k1_zfmisc_1(k4_xboole_0(X0,X1))),X1),
inference(superposition,[status(thm)],[c_328444,c_2401]) ).
tcf(c_334705,plain,
! [X0: $i,X1: $i] : r1_xboole_0(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),np__0),X1),
inference(superposition,[status(thm)],[c_328139,c_2401]) ).
tcf(c_334706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X3,k4_xboole_0(X3,X2)))
| r1_xboole_0(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X3,k4_xboole_0(X3,X2))),X1)
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_331985,c_2401]) ).
tcf(c_334707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X3,X2))
| r1_xboole_0(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X3,X2)),X1)
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_331819,c_2401]) ).
tcf(c_334708,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_492,c_2401]) ).
tcf(c_334711,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_30376,c_2401]) ).
tcf(c_334714,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_334682,c_497]) ).
tcf(c_334786,plain,
( v4_ordinal2(sK53(sK413))
| ~ v5_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_334154,c_2042]) ).
tcf(c_334788,plain,
~ r2_hidden(k5_finsub_1(sK413),sK53(sK413)),
inference(superposition,[status(thm)],[c_334154,c_196]) ).
tcf(c_334794,plain,
( v4_ordinal2(sK210(sK413))
| ~ v5_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_334421,c_2042]) ).
tcf(c_334796,plain,
~ r2_hidden(k5_finsub_1(sK413),sK210(sK413)),
inference(superposition,[status(thm)],[c_334421,c_196]) ).
tcf(c_334802,plain,
( v4_ordinal2(sK211(sK413))
| ~ v5_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_334459,c_2042]) ).
tcf(c_334804,plain,
~ r2_hidden(k5_finsub_1(sK413),sK211(sK413)),
inference(superposition,[status(thm)],[c_334459,c_196]) ).
tcf(c_334810,plain,
m1_subset_1(sK47(k5_finsub_1(k5_finsub_1(np__0))),k5_finsub_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_328348,c_330978]) ).
tcf(c_334811,plain,
r2_hidden(sK47(k5_finsub_1(k5_finsub_1(np__0))),k5_finsub_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_326624,c_330978]) ).
tcf(c_334812,plain,
~ v1_xboole_0(k5_finsub_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_326591,c_330978]) ).
tcf(c_334817,plain,
~ r1_tarski(k5_finsub_1(k5_finsub_1(sK205)),sK205),
inference(light_normalisation,[status(thm)],[c_331179,c_331263]) ).
tcf(c_334818,plain,
m1_subset_1(sK47(k5_finsub_1(k5_finsub_1(sK205))),k5_finsub_1(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_328348,c_334817]) ).
tcf(c_334819,plain,
r2_hidden(sK47(k5_finsub_1(k5_finsub_1(sK205))),k5_finsub_1(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_326624,c_334817]) ).
tcf(c_334820,plain,
~ v1_xboole_0(k5_finsub_1(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_326591,c_334817]) ).
tcf(c_334836,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_2407,c_2434]) ).
tcf(c_334837,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_2407,c_2430]) ).
tcf(c_334850,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_2413,c_2434]) ).
tcf(c_334851,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_2413,c_2430]) ).
tcf(c_334862,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK437(k2_xboole_0(X0,X1)),X0)
| ( k2_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_2389,c_2424]) ).
tcf(c_334863,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_2395,c_2424]) ).
tcf(c_334865,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_328947,c_2424]) ).
tcf(c_334867,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(np__0),X0)
| r2_hidden(np__0,k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328817,c_2424]) ).
tcf(c_334868,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_finseq_1(np__1),X0)
| r2_hidden(np__1,k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328818,c_2424]) ).
tcf(c_334891,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK437(k2_xboole_0(X0,X1)),X1)
| ( k2_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_2389,c_2425]) ).
tcf(c_334892,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_2395,c_2425]) ).
tcf(c_334893,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_2414,c_2425]) ).
tcf(c_334894,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_328947,c_2425]) ).
tcf(c_334896,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(np__0),X1)
| r2_hidden(np__0,k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328817,c_2425]) ).
tcf(c_334897,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_finseq_1(np__1),X1)
| r2_hidden(np__1,k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328818,c_2425]) ).
tcf(c_334914,plain,
( v1_xcmplx_0(sK47(k5_finsub_1(sK205)))
| ~ v1_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331189,c_1808]) ).
tcf(c_334915,plain,
( v1_xreal_0(sK47(k5_finsub_1(sK205)))
| ~ v2_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331189,c_1807]) ).
tcf(c_334916,plain,
( v1_xcmplx_0(sK47(k5_finsub_1(sK205)))
| ~ v2_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331189,c_1806]) ).
tcf(c_334927,plain,
( v4_ordinal2(sK47(k5_finsub_1(sK205)))
| ~ v5_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331191,c_2042]) ).
tcf(c_334940,plain,
( v1_finset_1(sK25(k5_finsub_1(sK205),np__0))
| ~ v1_finset_1(sK205) ),
inference(superposition,[status(thm)],[c_331197,c_872]) ).
tcf(c_334941,plain,
( v1_relat_1(sK25(k5_finsub_1(sK205),np__0))
| ~ v1_relat_1(sK205) ),
inference(superposition,[status(thm)],[c_331197,c_70]) ).
tcf(c_334943,plain,
! [X0: $i] :
( r1_tarski(X0,sK25(k5_finsub_1(sK205),np__0))
| m1_subset_1(sK25(X0,sK25(k5_finsub_1(sK205),np__0)),X0)
| ~ r1_tarski(X0,sK205) ),
inference(superposition,[status(thm)],[c_331197,c_97752]) ).
tcf(c_334944,plain,
v1_relat_1(sK25(k5_finsub_1(sK205),np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_334941,c_841]) ).
tcf(c_334945,plain,
v1_finset_1(sK25(k5_finsub_1(sK205),np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_334940,c_843]) ).
tcf(c_334950,plain,
k9_relat_1(sK25(k5_finsub_1(sK205),np__0),np__0) = np__0,
inference(superposition,[status(thm)],[c_334944,c_2363]) ).
tcf(c_334951,plain,
k10_relat_1(sK25(k5_finsub_1(sK205),np__0),np__0) = np__0,
inference(superposition,[status(thm)],[c_334944,c_2321]) ).
tcf(c_334952,plain,
k7_relat_1(sK25(k5_finsub_1(sK205),np__0),np__0) = np__0,
inference(superposition,[status(thm)],[c_334944,c_2249]) ).
tcf(c_334953,plain,
k5_relat_1(sK25(k5_finsub_1(sK205),np__0),np__0) = np__0,
inference(superposition,[status(thm)],[c_334944,c_1272]) ).
tcf(c_334954,plain,
k5_relat_1(np__0,sK25(k5_finsub_1(sK205),np__0)) = np__0,
inference(superposition,[status(thm)],[c_334944,c_1271]) ).
tcf(c_334955,plain,
k2_relat_1(sK412(sK25(k5_finsub_1(sK205),np__0))) = sK25(k5_finsub_1(sK205),np__0),
inference(superposition,[status(thm)],[c_334945,c_2199]) ).
tcf(c_334956,plain,
k1_zfmisc_1(sK25(k5_finsub_1(sK205),np__0)) = k5_finsub_1(sK25(k5_finsub_1(sK205),np__0)),
inference(superposition,[status(thm)],[c_334945,c_859]) ).
tcf(c_334957,plain,
( v1_xcmplx_0(k1_card_1(sK205))
| ~ v1_membered(k1_card_1(k5_finsub_1(sK205))) ),
inference(superposition,[status(thm)],[c_331204,c_1808]) ).
tcf(c_334958,plain,
( v1_xreal_0(k1_card_1(sK205))
| ~ v2_membered(k1_card_1(k5_finsub_1(sK205))) ),
inference(superposition,[status(thm)],[c_331204,c_1807]) ).
tcf(c_334959,plain,
( v1_xcmplx_0(k1_card_1(sK205))
| ~ v2_membered(k1_card_1(k5_finsub_1(sK205))) ),
inference(superposition,[status(thm)],[c_331204,c_1806]) ).
tcf(c_334968,plain,
( v4_ordinal2(k1_card_1(sK205))
| ~ v5_membered(k1_card_1(k5_finsub_1(sK205))) ),
inference(superposition,[status(thm)],[c_331209,c_2042]) ).
tcf(c_334971,plain,
r2_hidden(sK47(k1_card_1(k5_finsub_1(sK205))),k1_card_1(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_331209,c_192]) ).
tcf(c_334976,plain,
( v1_finset_1(k2_tarski(sK205,sK205))
| ~ v1_finset_1(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331212,c_872]) ).
tcf(c_334977,plain,
( v1_relat_1(k2_tarski(sK205,sK205))
| ~ v1_relat_1(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331212,c_70]) ).
tcf(c_334979,plain,
! [X0: $i] :
( r1_tarski(X0,k2_tarski(sK205,sK205))
| m1_subset_1(sK25(X0,k2_tarski(sK205,sK205)),X0)
| ~ r1_tarski(X0,k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331212,c_97752]) ).
tcf(c_334988,plain,
! [X0: $i] : v8_relat_2(sK324(X0,sK237(X0,X0))),
inference(superposition,[status(thm)],[c_331330,c_1612]) ).
tcf(c_334989,plain,
! [X0: $i] : v3_relat_2(sK324(X0,sK237(X0,X0))),
inference(superposition,[status(thm)],[c_331330,c_1611]) ).
tcf(c_334997,plain,
! [X0: $i,X1: $i] :
( v1_membered(X1)
| m1_subset_1(sK47(X1),X1)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_328348,c_2460]) ).
tcf(c_334998,plain,
! [X0: $i,X1: $i] :
( v1_membered(X1)
| r2_hidden(sK47(X1),X1)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_326624,c_2460]) ).
tcf(c_334999,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v1_membered(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_326591,c_2460]) ).
tcf(c_335000,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_90,c_2460]) ).
tcf(c_335003,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_263,c_2460]) ).
tcf(c_335004,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v1_membered(X1)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_281,c_2460]) ).
tcf(c_335005,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_483,c_2460]) ).
tcf(c_335006,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(X0,k4_xboole_0(X0,X2)))
| ~ v1_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_502,c_2460]) ).
tcf(c_335007,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_515,c_2460]) ).
tcf(c_335008,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v1_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_518,c_2460]) ).
tcf(c_335009,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_812,c_2460]) ).
tcf(c_335011,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_920,c_2460]) ).
tcf(c_335012,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_922,c_2460]) ).
tcf(c_335016,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_1307,c_2460]) ).
tcf(c_335017,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1425,c_2460]) ).
tcf(c_335018,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X1,X1))
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1408,c_2460]) ).
tcf(c_335019,plain,
! [X0: $i,X1: $i] :
( v1_membered(k7_relat_1(X0,X1))
| ~ v1_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2269,c_2460]) ).
tcf(c_335020,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_2270,c_2460]) ).
tcf(c_335021,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_2325,c_2460]) ).
tcf(c_335022,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_2367,c_2460]) ).
tcf(c_335023,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_membered(k7_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_326375,c_2460]) ).
tcf(c_335024,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_membered(sK53(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_326377,c_2460]) ).
tcf(c_335025,plain,
! [X0: $i,X1: $i] :
( v1_membered(X1)
| ~ v1_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_326993,c_2460]) ).
tcf(c_335026,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_membered(sK210(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_326378,c_2460]) ).
tcf(c_335027,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_membered(sK211(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_326379,c_2460]) ).
tcf(c_335028,plain,
! [X0: $i] :
( v1_membered(k2_finseq_1(X0))
| ~ v1_membered(k5_numbers)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_328268,c_2460]) ).
tcf(c_335029,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_zfmisc_1(k4_xboole_0(X0,X1)))
| ~ v1_membered(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))) ),
inference(superposition,[status(thm)],[c_33271,c_2460]) ).
tcf(c_335030,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| ~ v1_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_34474,c_2460]) ).
tcf(c_335031,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| v1_membered(sK26(k5_finsub_1(X1),X2,X0))
| ~ v1_membered(X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323884,c_2460]) ).
tcf(c_335032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| v1_membered(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))))
| ~ v1_membered(X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323943,c_2460]) ).
tcf(c_335033,plain,
! [X0: $i] :
( v1_membered(sK29(k5_finsub_1(X0)))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_323947,c_2460]) ).
tcf(c_335034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| v1_membered(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))))
| ~ v1_membered(X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_327049,c_2460]) ).
tcf(c_335035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| v1_membered(sK25(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2)))
| ~ v1_membered(X0)
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_324241,c_2460]) ).
tcf(c_335036,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| v1_membered(sK25(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))))
| ~ v1_membered(X0)
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_324474,c_2460]) ).
tcf(c_335038,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(X0),np__0)
| v1_membered(sK25(k5_finsub_1(X0),np__0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_324147,c_2460]) ).
tcf(c_335039,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_membered(sK207(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_325276,c_2460]) ).
tcf(c_335042,plain,
! [X0: $i] :
( v1_membered(k2_finseq_1(np__1))
| ~ v1_membered(k2_tarski(np__1,X0)) ),
inference(superposition,[status(thm)],[c_325615,c_2460]) ).
tcf(c_335043,plain,
! [X0: $i] :
( v1_membered(k2_finseq_1(np__1))
| ~ v1_membered(k2_tarski(X0,np__1)) ),
inference(superposition,[status(thm)],[c_325616,c_2460]) ).
tcf(c_335044,plain,
( v1_membered(k2_finseq_1(np__1))
| ~ v1_membered(k1_zfmisc_1(np__1)) ),
inference(superposition,[status(thm)],[c_325618,c_2460]) ).
tcf(c_335045,plain,
( v1_membered(k2_tarski(np__2,np__2))
| ~ v1_membered(k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_325630,c_2460]) ).
tcf(c_335046,plain,
( v1_membered(k2_finseq_1(np__1))
| ~ v1_membered(k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_325633,c_2460]) ).
tcf(c_335047,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X1,X0))
| ~ v1_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_326816,c_2460]) ).
tcf(c_335048,plain,
! [X0: $i] :
( v1_membered(sK29(k1_zfmisc_1(X0)))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_326374,c_2460]) ).
tcf(c_335049,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| v1_membered(sK26(k1_zfmisc_1(X1),X2,X0))
| ~ v1_membered(X1)
| ~ r1_tarski(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_326381,c_2460]) ).
tcf(c_335050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| v1_membered(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))))
| ~ v1_membered(X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_326382,c_2460]) ).
tcf(c_335051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| v1_membered(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))))
| ~ v1_membered(X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_327861,c_2460]) ).
tcf(c_335052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| v1_membered(sK25(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2)))
| ~ v1_membered(X0)
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_326385,c_2460]) ).
tcf(c_335053,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| v1_membered(sK28(k1_zfmisc_1(X0),X1))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_326593,c_2460]) ).
tcf(c_335054,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| v1_membered(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_330258,c_2460]) ).
tcf(c_335055,plain,
! [X0: $i] :
( v1_membered(sK47(k1_zfmisc_1(X0)))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_328444,c_2460]) ).
tcf(c_335056,plain,
! [X0: $i] :
( v1_membered(sK25(k1_zfmisc_1(X0),np__0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_328139,c_2460]) ).
tcf(c_335057,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| v1_membered(sK25(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))))
| ~ v1_membered(X0)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_331985,c_2460]) ).
tcf(c_335060,plain,
( v1_membered(sK47(k5_finsub_1(sK205)))
| ~ v1_membered(sK205) ),
inference(superposition,[status(thm)],[c_331190,c_2460]) ).
tcf(c_335061,plain,
( v1_membered(k2_tarski(sK205,sK205))
| ~ v1_membered(k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331212,c_2460]) ).
tcf(c_335062,plain,
( v1_membered(sK53(sK205))
| ~ v1_membered(sK205) ),
inference(superposition,[status(thm)],[c_331347,c_2460]) ).
tcf(c_335063,plain,
( v1_membered(sK210(sK205))
| ~ v1_membered(sK205) ),
inference(superposition,[status(thm)],[c_331361,c_2460]) ).
tcf(c_335064,plain,
( v1_membered(sK211(sK205))
| ~ v1_membered(sK205) ),
inference(superposition,[status(thm)],[c_331375,c_2460]) ).
tcf(c_335066,plain,
( v1_membered(sK47(k5_finsub_1(sK212)))
| ~ v1_membered(sK212) ),
inference(superposition,[status(thm)],[c_331599,c_2460]) ).
tcf(c_335067,plain,
( v1_membered(sK53(sK212))
| ~ v1_membered(sK212) ),
inference(superposition,[status(thm)],[c_331939,c_2460]) ).
tcf(c_335068,plain,
( v1_membered(sK210(sK212))
| ~ v1_membered(sK212) ),
inference(superposition,[status(thm)],[c_331954,c_2460]) ).
tcf(c_335069,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,X1))
| v1_membered(sK25(k1_zfmisc_1(X0),k2_xboole_0(X2,X1)))
| ~ v1_membered(X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_331819,c_2460]) ).
tcf(c_335070,plain,
( v1_membered(sK211(sK212))
| ~ v1_membered(sK212) ),
inference(superposition,[status(thm)],[c_331969,c_2460]) ).
tcf(c_335072,plain,
( v1_membered(sK47(k5_finsub_1(sK413)))
| ~ v1_membered(sK413) ),
inference(superposition,[status(thm)],[c_333104,c_2460]) ).
tcf(c_335073,plain,
( v1_membered(sK53(sK413))
| ~ v1_membered(sK413) ),
inference(superposition,[status(thm)],[c_334147,c_2460]) ).
tcf(c_335074,plain,
( v1_membered(sK210(sK413))
| ~ v1_membered(sK413) ),
inference(superposition,[status(thm)],[c_334414,c_2460]) ).
tcf(c_335075,plain,
( v1_membered(sK211(sK413))
| ~ v1_membered(sK413) ),
inference(superposition,[status(thm)],[c_334452,c_2460]) ).
tcf(c_335076,plain,
( v1_membered(sK25(k5_finsub_1(sK205),np__0))
| ~ v1_membered(sK205) ),
inference(superposition,[status(thm)],[c_331197,c_2460]) ).
tcf(c_335148,plain,
! [X0: $i] :
( v1_membered(k2_finseq_1(X0))
| ~ v4_ordinal2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_335028,c_325774]) ).
tcf(c_335279,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,np__0))
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_492,c_2467]) ).
tcf(c_335280,plain,
! [X0: $i] :
( v1_membered(k4_xboole_0(np__0,np__0))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_824,c_2467]) ).
tcf(c_335281,plain,
! [X0: $i] :
( v1_membered(k4_xboole_0(X0,X0))
| ~ v3_membered(np__0) ),
inference(superposition,[status(thm)],[c_825,c_2467]) ).
tcf(c_335282,plain,
! [X0: $i] :
( v1_membered(k4_xboole_0(X0,np__0))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_30376,c_2467]) ).
tcf(c_335284,plain,
( v1_membered(np__0)
| ~ v3_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_335281,c_30376]) ).
tcf(c_335287,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_335279,c_825]) ).
tcf(c_335295,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,np__0))
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_492,c_2468]) ).
tcf(c_335296,plain,
! [X0: $i] :
( v2_membered(k4_xboole_0(np__0,np__0))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_824,c_2468]) ).
tcf(c_335297,plain,
! [X0: $i] :
( v2_membered(k4_xboole_0(X0,X0))
| ~ v3_membered(np__0) ),
inference(superposition,[status(thm)],[c_825,c_2468]) ).
tcf(c_335298,plain,
! [X0: $i] :
( v2_membered(k4_xboole_0(X0,np__0))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_30376,c_2468]) ).
tcf(c_335304,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_335295,c_825]) ).
tcf(c_335312,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,np__0))
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_492,c_2469]) ).
tcf(c_335313,plain,
! [X0: $i] :
( v3_membered(k4_xboole_0(np__0,np__0))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_824,c_2469]) ).
tcf(c_335314,plain,
! [X0: $i] :
( v3_membered(k4_xboole_0(X0,X0))
| ~ v3_membered(np__0) ),
inference(superposition,[status(thm)],[c_825,c_2469]) ).
tcf(c_335315,plain,
! [X0: $i] :
( v3_membered(k4_xboole_0(X0,np__0))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_30376,c_2469]) ).
tcf(c_335322,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_335312,c_825]) ).
tcf(c_335326,plain,
! [X0: $i] : v8_relat_2(sK324(X0,sK238(X0,X0))),
inference(superposition,[status(thm)],[c_331331,c_1612]) ).
tcf(c_335327,plain,
! [X0: $i] : v3_relat_2(sK324(X0,sK238(X0,X0))),
inference(superposition,[status(thm)],[c_331331,c_1611]) ).
tcf(c_335329,plain,
! [X0: $i] : v8_relat_2(sK324(X0,sK239(X0,X0))),
inference(superposition,[status(thm)],[c_331332,c_1612]) ).
tcf(c_335330,plain,
! [X0: $i] : v3_relat_2(sK324(X0,sK239(X0,X0))),
inference(superposition,[status(thm)],[c_331332,c_1611]) ).
tcf(c_335338,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,np__0))
| ~ v2_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_492,c_2473]) ).
tcf(c_335339,plain,
! [X0: $i] :
( v1_membered(k4_xboole_0(np__0,np__0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_824,c_2473]) ).
tcf(c_335340,plain,
! [X0: $i] :
( v1_membered(k4_xboole_0(X0,X0))
| ~ v2_membered(np__0) ),
inference(superposition,[status(thm)],[c_825,c_2473]) ).
tcf(c_335341,plain,
! [X0: $i] :
( v1_membered(k4_xboole_0(X0,np__0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_30376,c_2473]) ).
tcf(c_335343,plain,
( v1_membered(np__0)
| ~ v2_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_335340,c_30376]) ).
tcf(c_335346,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v2_membered(k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_335338,c_825]) ).
tcf(c_335354,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,np__0))
| ~ v2_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_492,c_2474]) ).
tcf(c_335355,plain,
! [X0: $i] :
( v2_membered(k4_xboole_0(np__0,np__0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_824,c_2474]) ).
tcf(c_335356,plain,
! [X0: $i] :
( v2_membered(k4_xboole_0(X0,X0))
| ~ v2_membered(np__0) ),
inference(superposition,[status(thm)],[c_825,c_2474]) ).
tcf(c_335357,plain,
! [X0: $i] :
( v2_membered(k4_xboole_0(X0,np__0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_30376,c_2474]) ).
tcf(c_335363,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v2_membered(k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_335354,c_825]) ).
tcf(c_335371,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,np__0))
| ~ v1_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_492,c_2477]) ).
tcf(c_335372,plain,
! [X0: $i] :
( v1_membered(k4_xboole_0(np__0,np__0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_824,c_2477]) ).
tcf(c_335373,plain,
! [X0: $i] :
( v1_membered(k4_xboole_0(X0,X0))
| ~ v1_membered(np__0) ),
inference(superposition,[status(thm)],[c_825,c_2477]) ).
tcf(c_335374,plain,
! [X0: $i] :
( v1_membered(k4_xboole_0(X0,np__0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_30376,c_2477]) ).
tcf(c_335388,plain,
~ r1_tarski(k5_finsub_1(k5_finsub_1(sK212)),sK212),
inference(light_normalisation,[status(thm)],[c_331588,c_331672]) ).
tcf(c_335389,plain,
m1_subset_1(sK47(k5_finsub_1(k5_finsub_1(sK212))),k5_finsub_1(k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_328348,c_335388]) ).
tcf(c_335390,plain,
r2_hidden(sK47(k5_finsub_1(k5_finsub_1(sK212))),k5_finsub_1(k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_326624,c_335388]) ).
tcf(c_335391,plain,
~ v1_xboole_0(k5_finsub_1(k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_326591,c_335388]) ).
tcf(c_335405,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_281,c_82]) ).
tcf(c_335406,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_812,c_82]) ).
tcf(c_335421,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_281,c_83]) ).
tcf(c_335422,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_812,c_83]) ).
tcf(c_335435,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_xcmplx_0(sK34(X0))
| ~ l1_struct_0(X0)
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_116,c_1808]) ).
tcf(c_335436,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_xreal_0(sK34(X0))
| ~ l1_struct_0(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_116,c_1807]) ).
tcf(c_335437,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_xcmplx_0(sK34(X0))
| ~ l1_struct_0(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_116,c_1806]) ).
tcf(c_335438,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_xboole_0(sK34(X0))
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_116,c_190]) ).
tcf(c_335439,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK34(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_116,c_188]) ).
tcf(c_335460,plain,
( v1_xcmplx_0(sK47(k5_finsub_1(sK212)))
| ~ v1_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331598,c_1808]) ).
tcf(c_335461,plain,
( v1_xreal_0(sK47(k5_finsub_1(sK212)))
| ~ v2_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331598,c_1807]) ).
tcf(c_335462,plain,
( v1_xcmplx_0(sK47(k5_finsub_1(sK212)))
| ~ v2_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331598,c_1806]) ).
tcf(c_335473,plain,
( v4_ordinal2(sK47(k5_finsub_1(sK212)))
| ~ v5_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331600,c_2042]) ).
tcf(c_335486,plain,
( v1_membered(sK25(k5_finsub_1(sK212),np__0))
| ~ v1_membered(sK212) ),
inference(superposition,[status(thm)],[c_331606,c_2460]) ).
tcf(c_335487,plain,
( v1_finset_1(sK25(k5_finsub_1(sK212),np__0))
| ~ v1_finset_1(sK212) ),
inference(superposition,[status(thm)],[c_331606,c_872]) ).
tcf(c_335488,plain,
( v1_relat_1(sK25(k5_finsub_1(sK212),np__0))
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331606,c_70]) ).
tcf(c_335490,plain,
! [X0: $i] :
( r1_tarski(X0,sK25(k5_finsub_1(sK212),np__0))
| m1_subset_1(sK25(X0,sK25(k5_finsub_1(sK212),np__0)),X0)
| ~ r1_tarski(X0,sK212) ),
inference(superposition,[status(thm)],[c_331606,c_97752]) ).
tcf(c_335493,plain,
v1_finset_1(sK25(k5_finsub_1(sK212),np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_335487,c_889]) ).
tcf(c_335500,plain,
k2_relat_1(sK412(sK25(k5_finsub_1(sK212),np__0))) = sK25(k5_finsub_1(sK212),np__0),
inference(superposition,[status(thm)],[c_335493,c_2199]) ).
tcf(c_335501,plain,
k1_zfmisc_1(sK25(k5_finsub_1(sK212),np__0)) = k5_finsub_1(sK25(k5_finsub_1(sK212),np__0)),
inference(superposition,[status(thm)],[c_335493,c_859]) ).
tcf(c_335502,plain,
( v1_xcmplx_0(k1_card_1(sK212))
| ~ v1_membered(k1_card_1(k5_finsub_1(sK212))) ),
inference(superposition,[status(thm)],[c_331613,c_1808]) ).
tcf(c_335503,plain,
( v1_xreal_0(k1_card_1(sK212))
| ~ v2_membered(k1_card_1(k5_finsub_1(sK212))) ),
inference(superposition,[status(thm)],[c_331613,c_1807]) ).
tcf(c_335504,plain,
( v1_xcmplx_0(k1_card_1(sK212))
| ~ v2_membered(k1_card_1(k5_finsub_1(sK212))) ),
inference(superposition,[status(thm)],[c_331613,c_1806]) ).
tcf(c_335513,plain,
( v4_ordinal2(k1_card_1(sK212))
| ~ v5_membered(k1_card_1(k5_finsub_1(sK212))) ),
inference(superposition,[status(thm)],[c_331618,c_2042]) ).
tcf(c_335516,plain,
r2_hidden(sK47(k1_card_1(k5_finsub_1(sK212))),k1_card_1(k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_331618,c_192]) ).
tcf(c_335521,plain,
( v1_membered(k2_tarski(sK212,sK212))
| ~ v1_membered(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331621,c_2460]) ).
tcf(c_335522,plain,
( v1_finset_1(k2_tarski(sK212,sK212))
| ~ v1_finset_1(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331621,c_872]) ).
tcf(c_335523,plain,
( v1_relat_1(k2_tarski(sK212,sK212))
| ~ v1_relat_1(k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331621,c_70]) ).
tcf(c_335525,plain,
! [X0: $i] :
( r1_tarski(X0,k2_tarski(sK212,sK212))
| m1_subset_1(sK25(X0,k2_tarski(sK212,sK212)),X0)
| ~ r1_tarski(X0,k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331621,c_97752]) ).
tcf(c_335539,plain,
( ( k9_relat_1(sK53(sK212),np__0) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331943,c_2363]) ).
tcf(c_335540,plain,
( ( k10_relat_1(sK53(sK212),np__0) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331943,c_2321]) ).
tcf(c_335541,plain,
( ( k7_relat_1(sK53(sK212),np__0) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331943,c_2249]) ).
tcf(c_335542,plain,
( ( k5_relat_1(sK53(sK212),np__0) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331943,c_1272]) ).
tcf(c_335543,plain,
( ( k5_relat_1(np__0,sK53(sK212)) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331943,c_1271]) ).
tcf(c_335558,plain,
( ( k9_relat_1(sK210(sK212),np__0) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331958,c_2363]) ).
tcf(c_335559,plain,
( ( k10_relat_1(sK210(sK212),np__0) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331958,c_2321]) ).
tcf(c_335560,plain,
( ( k7_relat_1(sK210(sK212),np__0) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331958,c_2249]) ).
tcf(c_335561,plain,
( ( k5_relat_1(sK210(sK212),np__0) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331958,c_1272]) ).
tcf(c_335562,plain,
( ( k5_relat_1(np__0,sK210(sK212)) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331958,c_1271]) ).
tcf(c_335577,plain,
( ( k9_relat_1(sK211(sK212),np__0) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331973,c_2363]) ).
tcf(c_335578,plain,
( ( k10_relat_1(sK211(sK212),np__0) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331973,c_2321]) ).
tcf(c_335579,plain,
( ( k7_relat_1(sK211(sK212),np__0) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331973,c_2249]) ).
tcf(c_335580,plain,
( ( k5_relat_1(sK211(sK212),np__0) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331973,c_1272]) ).
tcf(c_335581,plain,
( ( k5_relat_1(np__0,sK211(sK212)) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331973,c_1271]) ).
tcf(c_335598,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),np__0)
| ~ r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_30123,c_328021]) ).
tcf(c_335599,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(sK205),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k5_finsub_1(sK205),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK205)
| ~ r1_tarski(k1_zfmisc_1(sK205),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_330894,c_328021]) ).
tcf(c_335600,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(sK212),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k5_finsub_1(sK212),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK212)
| ~ r1_tarski(k1_zfmisc_1(sK212),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_330900,c_328021]) ).
tcf(c_335601,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(sK413),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k5_finsub_1(sK413),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK413)
| ~ r1_tarski(k1_zfmisc_1(sK413),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_330901,c_328021]) ).
tcf(c_335603,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X2,np__0)),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X2))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_492,c_328021]) ).
tcf(c_335605,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(k2_xboole_0(X2,X1),np__0)),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(k2_xboole_0(X2,X1),k4_xboole_0(k2_xboole_0(X2,X1),k2_xboole_0(X1,X2))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_30376,c_328021]) ).
tcf(c_335612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| v1_membered(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))))
| ~ v1_membered(X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_328021,c_2460]) ).
tcf(c_335613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| v1_finset_1(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))))
| ~ v1_finset_1(X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_328021,c_872]) ).
tcf(c_335614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| v1_relat_1(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))))
| ~ v1_relat_1(X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_328021,c_70]) ).
tcf(c_335615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X3,X2))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X3,X2))
| ~ r2_hidden(X0,sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3))))) ),
inference(superposition,[status(thm)],[c_328021,c_69]) ).
tcf(c_335616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X1,X2))))
| r1_tarski(X3,sK25(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X1)))))
| m1_subset_1(sK25(X3,sK25(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X1))))),X3)
| ~ r1_tarski(X3,X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_328021,c_97752]) ).
tcf(c_335617,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| ( sK25(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))) = np__0 )
| ~ r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328021,c_95]) ).
tcf(c_335618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3))))
| r1_xboole_0(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),X1)
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_328021,c_2401]) ).
tcf(c_335619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3))))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),X0)
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_328021,c_2400]) ).
tcf(c_335620,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| v1_membered(sK25(k1_zfmisc_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))))
| ~ r1_tarski(k1_zfmisc_1(k1_numbers),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328021,c_326348]) ).
tcf(c_335621,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| v2_membered(sK25(k1_zfmisc_1(k1_numbers),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))))
| ~ r1_tarski(k1_zfmisc_1(k1_numbers),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328021,c_326347]) ).
tcf(c_335622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3))))
| r1_tarski(sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))))
| ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_328021,c_323864]) ).
tcf(c_335632,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(sK413),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k5_finsub_1(sK413),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK413)
| ~ r1_tarski(k5_finsub_1(sK413),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_335601,c_330901]) ).
tcf(c_335636,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(sK212),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k5_finsub_1(sK212),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK212)
| ~ r1_tarski(k5_finsub_1(sK212),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_335600,c_330900]) ).
tcf(c_335640,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(sK205),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k5_finsub_1(sK205),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK205)
| ~ r1_tarski(k5_finsub_1(sK205),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_335599,c_330894]) ).
tcf(c_335644,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),np__0)
| ~ r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_335598,c_30123]) ).
tcf(c_335648,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| ( sK25(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))) = np__0 )
| ~ r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_335617,c_30123]) ).
tcf(c_335692,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_xcmplx_0(sK33(X0))
| ~ l1_struct_0(X0)
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_117,c_1808]) ).
tcf(c_335693,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_xreal_0(sK33(X0))
| ~ l1_struct_0(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_117,c_1807]) ).
tcf(c_335694,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_xcmplx_0(sK33(X0))
| ~ l1_struct_0(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_117,c_1806]) ).
tcf(c_335695,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_xboole_0(sK33(X0))
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_117,c_190]) ).
tcf(c_335696,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK33(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_117,c_188]) ).
tcf(c_335727,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(sK38(X0),X1),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(sK38(X0)) ),
inference(superposition,[status(thm)],[c_147,c_2325]) ).
tcf(c_335731,plain,
! [X0: $i] :
( v2_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK38(X0)) ),
inference(superposition,[status(thm)],[c_147,c_326886]) ).
tcf(c_335732,plain,
! [X0: $i] :
( v5_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK38(X0)) ),
inference(superposition,[status(thm)],[c_147,c_325223]) ).
tcf(c_335733,plain,
! [X0: $i] :
( v1_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK38(X0)) ),
inference(superposition,[status(thm)],[c_147,c_325212]) ).
tcf(c_335734,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK38(X0)) ),
inference(superposition,[status(thm)],[c_147,c_324291]) ).
tcf(c_335735,plain,
! [X0: $i] :
( v1_realset1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK38(X0)) ),
inference(superposition,[status(thm)],[c_147,c_324290]) ).
tcf(c_335736,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK38(X0)) ),
inference(superposition,[status(thm)],[c_147,c_324289]) ).
tcf(c_335737,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK38(X0)) ),
inference(superposition,[status(thm)],[c_147,c_324288]) ).
tcf(c_335738,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK38(X0)) ),
inference(superposition,[status(thm)],[c_147,c_434]) ).
tcf(c_335739,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK38(X0)) ),
inference(superposition,[status(thm)],[c_147,c_433]) ).
tcf(c_335791,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(sK39(X0),X1),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(sK39(X0)) ),
inference(superposition,[status(thm)],[c_148,c_2325]) ).
tcf(c_335795,plain,
! [X0: $i] :
( v2_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK39(X0)) ),
inference(superposition,[status(thm)],[c_148,c_326886]) ).
tcf(c_335796,plain,
! [X0: $i] :
( v5_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK39(X0)) ),
inference(superposition,[status(thm)],[c_148,c_325223]) ).
tcf(c_335797,plain,
! [X0: $i] :
( v1_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK39(X0)) ),
inference(superposition,[status(thm)],[c_148,c_325212]) ).
tcf(c_335798,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK39(X0)) ),
inference(superposition,[status(thm)],[c_148,c_324291]) ).
tcf(c_335799,plain,
! [X0: $i] :
( v1_realset1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK39(X0)) ),
inference(superposition,[status(thm)],[c_148,c_324290]) ).
tcf(c_335800,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK39(X0)) ),
inference(superposition,[status(thm)],[c_148,c_324289]) ).
tcf(c_335801,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK39(X0)) ),
inference(superposition,[status(thm)],[c_148,c_324288]) ).
tcf(c_335802,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK39(X0)) ),
inference(superposition,[status(thm)],[c_148,c_434]) ).
tcf(c_335803,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK39(X0)) ),
inference(superposition,[status(thm)],[c_148,c_433]) ).
tcf(c_335859,plain,
! [X0: $i,X1: $i] :
( ( u1_struct_0(X0) = X1 )
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(X1)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_299,c_215]) ).
tcf(c_335860,plain,
! [X0: $i,X1: $i] :
( ( k1_relat_1(X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_433,c_215]) ).
tcf(c_335861,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_550,c_215]) ).
tcf(c_335862,plain,
! [X0: $i,X1: $i] :
( ( sK29(X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329594,c_215]) ).
tcf(c_335893,plain,
( v1_xcmplx_0(np__1)
| ~ v1_xreal_0(np__1) ),
inference(superposition,[status(thm)],[c_326132,c_332138]) ).
tcf(c_335894,plain,
( v1_xcmplx_0(np__1)
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_325758,c_332138]) ).
tcf(c_335932,plain,
! [X0: $i] :
( m1_subset_1(k5_finsub_1(np__0),k1_zfmisc_1(X0))
| ~ r2_hidden(np__0,X0) ),
inference(superposition,[status(thm)],[c_919,c_252]) ).
tcf(c_335933,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_1820,c_252]) ).
tcf(c_335935,plain,
! [X0: $i] :
( m1_subset_1(k2_tarski(X0,X0),k5_finsub_1(sK205))
| ~ r2_hidden(X0,sK205) ),
inference(superposition,[status(thm)],[c_330894,c_252]) ).
tcf(c_335936,plain,
! [X0: $i] :
( m1_subset_1(k2_tarski(X0,X0),k5_finsub_1(sK212))
| ~ r2_hidden(X0,sK212) ),
inference(superposition,[status(thm)],[c_330900,c_252]) ).
tcf(c_335937,plain,
! [X0: $i] :
( m1_subset_1(k2_tarski(X0,X0),k5_finsub_1(sK413))
| ~ r2_hidden(X0,sK413) ),
inference(superposition,[status(thm)],[c_330901,c_252]) ).
tcf(c_335939,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_252,c_1808]) ).
tcf(c_335940,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_252,c_1807]) ).
tcf(c_335941,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_252,c_1806]) ).
tcf(c_335942,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_252,c_190]) ).
tcf(c_335943,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_252,c_188]) ).
tcf(c_335944,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_252,c_198]) ).
tcf(c_335968,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_335943,c_213]) ).
tcf(c_335988,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tarski(X0,X0),X1)
| ( sK28(k2_tarski(X0,X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_103,c_294]) ).
tcf(c_335989,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( sK41(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_167,c_294]) ).
tcf(c_335992,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( sK118(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_558,c_294]) ).
tcf(c_335993,plain,
! [X0: $i] :
( sP0(k2_tarski(X0,X0))
| v1_funct_1(k2_tarski(X0,X0))
| ( sK124(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_569,c_294]) ).
tcf(c_335994,plain,
! [X0: $i] :
( sP0(k2_tarski(X0,X0))
| v1_relat_1(k2_tarski(X0,X0))
| ( sK124(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_567,c_294]) ).
tcf(c_335995,plain,
! [X0: $i] :
( v1_relat_1(k2_tarski(X0,X0))
| ( sK137(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_587,c_294]) ).
tcf(c_335999,plain,
! [X0: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ( sK354(k2_tarski(X0,X0)) = X0 )
| ~ v1_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_1801,c_294]) ).
tcf(c_336000,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ( sK355(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1803,c_294]) ).
tcf(c_336001,plain,
! [X0: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ( sK401(k2_tarski(X0,X0)) = X0 )
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_2039,c_294]) ).
tcf(c_336002,plain,
! [X0: $i] :
( v5_membered(k2_tarski(X0,X0))
| ( sK402(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2041,c_294]) ).
tcf(c_336003,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( sK432(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2378,c_294]) ).
tcf(c_336004,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( sK433(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2380,c_294]) ).
tcf(c_336005,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( sK434(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2382,c_294]) ).
tcf(c_336006,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( sK435(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2384,c_294]) ).
tcf(c_336007,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( sK436(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2386,c_294]) ).
tcf(c_336008,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( sK437(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2388,c_294]) ).
tcf(c_336009,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_tarski(X0,X0),X1)
| ( sK439(k2_tarski(X0,X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_2439,c_294]) ).
tcf(c_336010,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,k2_tarski(X1,X1))
| ( sK439(X0,k2_tarski(X1,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_2440,c_294]) ).
tcf(c_336011,plain,
! [X0: $i] :
( v1_membered(k3_tarski(k2_tarski(X0,X0)))
| ( sK441(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2459,c_294]) ).
tcf(c_336013,plain,
! [X0: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ( sK47(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_329782,c_294]) ).
tcf(c_336022,plain,
! [X0: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ( sK29(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_329379,c_294]) ).
tcf(c_336023,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_919,c_294]) ).
tcf(c_336024,plain,
! [X0: $i] :
( ( X0 = np__1 )
| ~ r2_hidden(X0,k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_1820,c_294]) ).
tcf(c_336029,plain,
! [X0: $i] : sK29(k2_tarski(X0,X0)) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_336022,c_1377]) ).
tcf(c_336038,plain,
! [X0: $i] : sK47(k2_tarski(X0,X0)) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_336013,c_1377]) ).
tcf(c_336077,plain,
! [X0: $i] :
( ( sK401(k2_tarski(X0,X0)) = X0 )
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_336001,c_1377]) ).
tcf(c_336080,plain,
! [X0: $i] :
( ( sK354(k2_tarski(X0,X0)) = X0 )
| ~ v1_membered(k2_tarski(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_335999,c_1377]) ).
tcf(c_336116,plain,
( v2_group_1(sK64)
| v3_struct_0(sK64)
| ~ v3_group_1(sK64) ),
inference(superposition,[status(thm)],[c_305,c_329]) ).
tcf(c_336119,plain,
( v2_group_1(sK165)
| v3_struct_0(sK165)
| ~ v3_group_1(sK165) ),
inference(superposition,[status(thm)],[c_631,c_329]) ).
tcf(c_336120,plain,
( v2_group_1(sK166)
| v3_struct_0(sK166)
| ~ v3_group_1(sK166) ),
inference(superposition,[status(thm)],[c_633,c_329]) ).
tcf(c_336121,plain,
( v2_group_1(sK198)
| v3_struct_0(sK198)
| ~ v3_group_1(sK198) ),
inference(superposition,[status(thm)],[c_774,c_329]) ).
tcf(c_336122,plain,
( v2_group_1(sK198)
| ~ v3_group_1(sK198) ),
inference(forward_subsumption_resolution,[status(thm)],[c_336121,c_775]) ).
tcf(c_336128,plain,
( v2_group_1(sK165)
| ~ v3_group_1(sK165) ),
inference(forward_subsumption_resolution,[status(thm)],[c_336119,c_632]) ).
tcf(c_336140,plain,
! [X0: $i] :
( r1_tarski(k2_relat_1(np__0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_330419,c_406]) ).
tcf(c_336141,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_relat_1(sK89(X0,X1)))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_406,c_2460]) ).
tcf(c_336142,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_relat_1(sK89(X0,X1)))
| ( X0 = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_406,c_872]) ).
tcf(c_336143,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_relat_1(sK89(X0,X1)))
| ( X0 = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_406,c_70]) ).
tcf(c_336144,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,k2_relat_1(sK89(X0,X1))) ),
inference(superposition,[status(thm)],[c_406,c_69]) ).
tcf(c_336145,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_relat_1(sK89(X1,X2)))
| m1_subset_1(sK25(X0,k2_relat_1(sK89(X1,X2))),X0)
| ( X1 = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_406,c_97752]) ).
tcf(c_336147,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_relat_1(sK89(k4_xboole_0(X0,X1),X2)),X1)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_406,c_2401]) ).
tcf(c_336148,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_relat_1(sK89(k4_xboole_0(X0,X1),X2)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_406,c_2400]) ).
tcf(c_336149,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(sK89(k1_numbers,X0)))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_406,c_326348]) ).
tcf(c_336150,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(sK89(k1_numbers,X0)))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_406,c_326347]) ).
tcf(c_336151,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_relat_1(sK89(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),X2)),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(k2_relat_1(sK89(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),X2)),k1_zfmisc_1(k4_xboole_0(X0,X1))),k2_relat_1(sK89(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),X2)))
| ( k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))) = np__0 ) ),
inference(superposition,[status(thm)],[c_406,c_323864]) ).
tcf(c_336152,plain,
! [X0: $i] :
( r1_tarski(np__0,X0)
| ( X0 = np__0 ) ),
inference(light_normalisation,[status(thm)],[c_336140,c_539]) ).
tcf(c_336238,plain,
! [X0: $i] :
( ~ v2_membered(X0)
| ~ v2_xreal_0(sK29(X0))
| ~ v3_xreal_0(sK29(X0)) ),
inference(superposition,[status(thm)],[c_332625,c_2171]) ).
tcf(c_336239,plain,
! [X0: $i] :
( v2_xreal_0(sK29(X0))
| v3_xreal_0(sK29(X0))
| v1_xboole_0(sK29(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_332625,c_2168]) ).
tcf(c_336254,plain,
! [X0: $i] :
( r1_tarski(sK38(X0),k2_zfmisc_1(X0,k2_relat_1(sK38(X0))))
| ( X0 = np__0 )
| ~ v1_relat_1(sK38(X0)) ),
inference(superposition,[status(thm)],[c_147,c_430]) ).
tcf(c_336255,plain,
! [X0: $i] :
( r1_tarski(sK39(X0),k2_zfmisc_1(X0,k2_relat_1(sK39(X0))))
| ( X0 = np__0 )
| ~ v1_relat_1(sK39(X0)) ),
inference(superposition,[status(thm)],[c_148,c_430]) ).
tcf(c_336256,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_426,c_430]) ).
tcf(c_336257,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_539,c_430]) ).
tcf(c_336258,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_430,c_2460]) ).
tcf(c_336259,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_430,c_872]) ).
tcf(c_336261,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_430,c_69]) ).
tcf(c_336262,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| m1_subset_1(sK25(X0,X1),X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k2_zfmisc_1(k1_relat_1(X1),k2_relat_1(X1))) ),
inference(superposition,[status(thm)],[c_430,c_97752]) ).
tcf(c_336263,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_430,c_514]) ).
tcf(c_336264,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_430,c_1413]) ).
tcf(c_336265,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_430,c_1412]) ).
tcf(c_336266,plain,
( r1_tarski(np__0,k2_zfmisc_1(np__0,np__0))
| ~ v1_relat_1(np__0) ),
inference(light_normalisation,[status(thm)],[c_336257,c_426]) ).
tcf(c_336307,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_522,c_463]) ).
tcf(c_336308,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_523,c_463]) ).
tcf(c_336309,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_524,c_463]) ).
tcf(c_336310,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_327052,c_463]) ).
tcf(c_336311,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_31762,c_463]) ).
tcf(c_336312,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_463,c_2460]) ).
tcf(c_336313,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_463,c_872]) ).
tcf(c_336314,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_463,c_70]) ).
tcf(c_336315,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_463,c_69]) ).
tcf(c_336316,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(k5_finsub_1(X1),k5_finsub_1(X2)))
| m1_subset_1(sK25(X0,k2_xboole_0(k5_finsub_1(X1),k5_finsub_1(X2))),X0)
| ~ r1_tarski(X0,k5_finsub_1(k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_463,c_97752]) ).
tcf(c_336317,plain,
! [X0: $i,X1: $i] : r1_tarski(k5_finsub_1(X0),k5_finsub_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_463,c_514]) ).
tcf(c_336350,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_524,c_465]) ).
tcf(c_336353,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(sK412(k2_xboole_0(X0,X1))) = k2_xboole_0(X0,X1) )
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_465,c_2199]) ).
tcf(c_336354,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_465,c_859]) ).
tcf(c_336373,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_524,c_476]) ).
tcf(c_336376,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_476,c_2363]) ).
tcf(c_336377,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_476,c_2321]) ).
tcf(c_336378,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_476,c_2249]) ).
tcf(c_336379,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_476,c_1272]) ).
tcf(c_336380,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_476,c_1271]) ).
tcf(c_336428,plain,
( v1_xreal_0(np__1)
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_325766,c_332667]) ).
tcf(c_336464,plain,
~ r1_tarski(k5_finsub_1(k5_finsub_1(sK413)),sK413),
inference(light_normalisation,[status(thm)],[c_333093,c_333180]) ).
tcf(c_336465,plain,
m1_subset_1(sK47(k5_finsub_1(k5_finsub_1(sK413))),k5_finsub_1(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_328348,c_336464]) ).
tcf(c_336466,plain,
r2_hidden(sK47(k5_finsub_1(k5_finsub_1(sK413))),k5_finsub_1(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_326624,c_336464]) ).
tcf(c_336467,plain,
~ v1_xboole_0(k5_finsub_1(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_326591,c_336464]) ).
tcf(c_336471,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(np__0),k1_zfmisc_1(X0)),k1_zfmisc_1(k2_xboole_0(np__0,X0))),
inference(superposition,[status(thm)],[c_30123,c_485]) ).
tcf(c_336472,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(sK205),k1_zfmisc_1(X0)),k1_zfmisc_1(k2_xboole_0(sK205,X0))),
inference(superposition,[status(thm)],[c_330894,c_485]) ).
tcf(c_336473,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(sK212),k1_zfmisc_1(X0)),k1_zfmisc_1(k2_xboole_0(sK212,X0))),
inference(superposition,[status(thm)],[c_330900,c_485]) ).
tcf(c_336474,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(sK413),k1_zfmisc_1(X0)),k1_zfmisc_1(k2_xboole_0(sK413,X0))),
inference(superposition,[status(thm)],[c_330901,c_485]) ).
tcf(c_336475,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),k5_finsub_1(np__0)),k1_zfmisc_1(k2_xboole_0(X0,np__0))),
inference(superposition,[status(thm)],[c_30123,c_485]) ).
tcf(c_336476,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),k5_finsub_1(sK205)),k1_zfmisc_1(k2_xboole_0(X0,sK205))),
inference(superposition,[status(thm)],[c_330894,c_485]) ).
tcf(c_336477,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),k5_finsub_1(sK212)),k1_zfmisc_1(k2_xboole_0(X0,sK212))),
inference(superposition,[status(thm)],[c_330900,c_485]) ).
tcf(c_336478,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),k5_finsub_1(sK413)),k1_zfmisc_1(k2_xboole_0(X0,sK413))),
inference(superposition,[status(thm)],[c_330901,c_485]) ).
tcf(c_336480,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_522,c_485]) ).
tcf(c_336481,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_523,c_485]) ).
tcf(c_336482,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_524,c_485]) ).
tcf(c_336483,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_327052,c_485]) ).
tcf(c_336484,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_31762,c_485]) ).
tcf(c_336485,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_485,c_2460]) ).
tcf(c_336486,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_485,c_872]) ).
tcf(c_336487,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_485,c_70]) ).
tcf(c_336488,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_485,c_69]) ).
tcf(c_336489,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2)))
| m1_subset_1(sK25(X0,k2_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2))),X0)
| ~ r1_tarski(X0,k1_zfmisc_1(k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_485,c_97752]) ).
tcf(c_336490,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_485,c_514]) ).
tcf(c_336491,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(np__0),k1_zfmisc_1(X0)),k1_zfmisc_1(X0)),
inference(light_normalisation,[status(thm)],[c_336483,c_30123]) ).
tcf(c_336492,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),k5_finsub_1(np__0)),k1_zfmisc_1(X0)),
inference(light_normalisation,[status(thm)],[c_336480,c_30123]) ).
tcf(c_336494,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(sK413),k1_zfmisc_1(X0)),k1_zfmisc_1(k2_xboole_0(X0,sK413))),
inference(theory_normalisation,[status(thm)],[c_336478,c_521,c_524]) ).
tcf(c_336495,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(sK212),k1_zfmisc_1(X0)),k1_zfmisc_1(k2_xboole_0(X0,sK212))),
inference(theory_normalisation,[status(thm)],[c_336477,c_521,c_524]) ).
tcf(c_336496,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(sK205),k1_zfmisc_1(X0)),k1_zfmisc_1(k2_xboole_0(X0,sK205))),
inference(theory_normalisation,[status(thm)],[c_336476,c_521,c_524]) ).
tcf(c_336497,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(np__0),k1_zfmisc_1(X0)),k1_zfmisc_1(k2_xboole_0(X0,np__0))),
inference(theory_normalisation,[status(thm)],[c_336475,c_521,c_524]) ).
tcf(c_336510,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(X0,X1),X0) = k4_xboole_0(X1,X0),
inference(superposition,[status(thm)],[c_524,c_498]) ).
tcf(c_336512,plain,
! [X0: $i] : k4_xboole_0(X0,X0) = k4_xboole_0(np__0,X0),
inference(superposition,[status(thm)],[c_327052,c_498]) ).
tcf(c_336514,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_498,c_2413]) ).
tcf(c_336516,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_498,c_2400]) ).
tcf(c_336517,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_498,c_830]) ).
tcf(c_336518,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(X0,X1)),k2_xboole_0(k2_xboole_0(X0,X1),X2)),
inference(superposition,[status(thm)],[c_498,c_502]) ).
tcf(c_336519,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_498,c_31762]) ).
tcf(c_336520,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(X0,X1),k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_498,c_326292]) ).
tcf(c_336521,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v1_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_498,c_2466]) ).
tcf(c_336522,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v2_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_498,c_2465]) ).
tcf(c_336523,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v2_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_498,c_2464]) ).
tcf(c_336524,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_498,c_2463]) ).
tcf(c_336525,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_498,c_2462]) ).
tcf(c_336526,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_498,c_2461]) ).
tcf(c_336527,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_498,c_2411]) ).
tcf(c_336528,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_498,c_792]) ).
tcf(c_336529,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_498,c_789]) ).
tcf(c_336530,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(X0,X1)),X1),
inference(superposition,[status(thm)],[c_498,c_324338]) ).
tcf(c_336532,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_498,c_819]) ).
tcf(c_336533,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(k2_xboole_0(X0,X1)),k1_zfmisc_1(X1)))),
inference(superposition,[status(thm)],[c_498,c_33271]) ).
tcf(c_336534,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(k2_xboole_0(X1,X0),k4_xboole_0(X1,X0)))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_498,c_2477]) ).
tcf(c_336535,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(k2_xboole_0(X1,X0),k4_xboole_0(X1,X0)))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_498,c_2474]) ).
tcf(c_336536,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(k2_xboole_0(X1,X0),k4_xboole_0(X1,X0)))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_498,c_2473]) ).
tcf(c_336537,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(k2_xboole_0(X1,X0),k4_xboole_0(X1,X0)))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_498,c_2469]) ).
tcf(c_336538,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(k2_xboole_0(X1,X0),k4_xboole_0(X1,X0)))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_498,c_2468]) ).
tcf(c_336539,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(k2_xboole_0(X1,X0),k4_xboole_0(X1,X0)))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_498,c_2467]) ).
tcf(c_336540,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(k2_xboole_0(X1,X0),k4_xboole_0(X1,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_498,c_925]) ).
tcf(c_336541,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(k2_xboole_0(X1,X0),k4_xboole_0(X1,X0)))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_498,c_878]) ).
tcf(c_336543,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_498,c_2411]) ).
tcf(c_336544,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_498,c_812]) ).
tcf(c_336545,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k2_xboole_0(X0,k2_xboole_0(X1,X2)),k4_xboole_0(X0,k2_xboole_0(X1,X2))),k2_xboole_0(X2,X1)),
inference(superposition,[status(thm)],[c_498,c_34474]) ).
tcf(c_336547,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(k2_xboole_0(X2,X1),k4_xboole_0(k2_xboole_0(X2,X1),X1)))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(k2_xboole_0(X2,X1),k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_498,c_331985]) ).
tcf(c_336548,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(k2_xboole_0(X2,X1),k4_xboole_0(k2_xboole_0(X2,X1),X1)))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(k2_xboole_0(X2,X1),k4_xboole_0(X2,X1))),X0)
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_498,c_324474]) ).
tcf(c_336549,plain,
! [X0: $i] : k2_xboole_0(X0,np__0) = k4_xboole_0(X0,np__0),
inference(superposition,[status(thm)],[c_498,c_825]) ).
tcf(c_336550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X2,X1)),k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X2,X1)),k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X2,X1)),k2_xboole_0(X1,X2))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_498,c_328021]) ).
tcf(c_336551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X2,X1)),k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X2,X1)),k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X2,X1)),k2_xboole_0(X2,X1))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_498,c_326382]) ).
tcf(c_336552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X2,X1)),k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X2,X1)),k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X2,X1)),k2_xboole_0(X2,X1))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_498,c_323943]) ).
tcf(c_336553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X2,X1)),k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| r1_tarski(X0,k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X2,X1)),k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X2,X1)),k2_xboole_0(X2,X1))))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_498,c_323865]) ).
tcf(c_336554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X1,X2)),k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X1,X2)),k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X1,X2)),k2_xboole_0(X2,X1))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_498,c_327861]) ).
tcf(c_336555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X1,X2)),k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X1,X2)),k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X1,X2)),k2_xboole_0(X2,X1))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_498,c_327049]) ).
tcf(c_336556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X1,X2)),k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| r1_tarski(X0,k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X1,X2)),k4_xboole_0(k2_xboole_0(X3,k2_xboole_0(X1,X2)),k2_xboole_0(X1,X2))))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_498,c_323866]) ).
tcf(c_336557,plain,
! [X0: $i] : v1_membered(k4_xboole_0(k2_xboole_0(X0,k1_numbers),k4_xboole_0(X0,k1_numbers))),
inference(superposition,[status(thm)],[c_498,c_326723]) ).
tcf(c_336558,plain,
! [X0: $i] : v2_membered(k4_xboole_0(k2_xboole_0(X0,k1_numbers),k4_xboole_0(X0,k1_numbers))),
inference(superposition,[status(thm)],[c_498,c_326529]) ).
tcf(c_336563,plain,
! [X0: $i,X1: $i] : r1_xboole_0(np__0,k4_xboole_0(X0,X1)),
inference(light_normalisation,[status(thm)],[c_336543,c_327041]) ).
tcf(c_336604,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_336519,c_521,c_524]) ).
tcf(c_336605,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(X0,X1)),k2_xboole_0(X0,k2_xboole_0(X1,X2))),
inference(theory_normalisation,[status(thm)],[c_336518,c_521,c_524]) ).
tcf(c_336696,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_492,c_499]) ).
tcf(c_336697,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_498,c_499]) ).
tcf(c_336698,plain,
! [X0: $i] : k2_xboole_0(X0,X0) = k2_xboole_0(X0,np__0),
inference(superposition,[status(thm)],[c_30376,c_499]) ).
tcf(c_336701,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_499,c_498]) ).
tcf(c_336702,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_499,c_485]) ).
tcf(c_336703,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_499,c_476]) ).
tcf(c_336704,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_499,c_465]) ).
tcf(c_336705,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_499,c_463]) ).
tcf(c_336707,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_499,c_483]) ).
tcf(c_336708,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(X0,X1),k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_499,c_327043]) ).
tcf(c_336710,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(X0,X1),k2_xboole_0(k4_xboole_0(X1,X0),X0)),
inference(superposition,[status(thm)],[c_499,c_326816]) ).
tcf(c_336713,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_499,c_531]) ).
tcf(c_336715,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_499,c_2425]) ).
tcf(c_336719,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(k4_xboole_0(X2,X1),X1))
| r1_tarski(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)),X0) ),
inference(superposition,[status(thm)],[c_499,c_330258]) ).
tcf(c_336721,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X2,X1))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X2,X1)),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_499,c_328784]) ).
tcf(c_336723,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))),k2_xboole_0(k4_xboole_0(X2,X1),X1)),
inference(superposition,[status(thm)],[c_499,c_34474]) ).
tcf(c_336726,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,k4_xboole_0(X1,X2)))
| r1_tarski(sK25(k1_zfmisc_1(X0),k2_xboole_0(X2,X1)),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k4_xboole_0(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_499,c_331819]) ).
tcf(c_336727,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_499,c_529]) ).
tcf(c_336728,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_499,c_515]) ).
tcf(c_336729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,k4_xboole_0(X1,X2)))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k4_xboole_0(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_499,c_326382]) ).
tcf(c_336730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,k4_xboole_0(X1,X2)))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(k4_xboole_0(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_499,c_323943]) ).
tcf(c_336731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0)
| r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,k4_xboole_0(X1,X2)))))
| ~ r1_tarski(X0,k2_xboole_0(k4_xboole_0(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_499,c_323865]) ).
tcf(c_336732,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(k4_xboole_0(X1,X2),X2))),k2_xboole_0(X2,X1)),
inference(superposition,[status(thm)],[c_499,c_34474]) ).
tcf(c_336733,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),k2_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_499,c_326993]) ).
tcf(c_336734,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k4_xboole_0(X0,X1),X1),k2_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_499,c_326816]) ).
tcf(c_336736,plain,
! [X0: $i] : k2_xboole_0(np__0,X0) = k4_xboole_0(X0,np__0),
inference(superposition,[status(thm)],[c_499,c_327052]) ).
tcf(c_336754,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(X0,k4_xboole_0(X1,X0)),k2_xboole_0(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_336734,c_521,c_524]) ).
tcf(c_336758,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(X0,X1),k2_xboole_0(X0,k4_xboole_0(X1,X0))),
inference(theory_normalisation,[status(thm)],[c_336710,c_521,c_524]) ).
tcf(c_336772,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_336697,c_499]) ).
tcf(c_336773,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_336696,c_521,c_524]) ).
tcf(c_336774,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,k4_xboole_0(X2,X1)))),k2_xboole_0(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_336732,c_521,c_524]) ).
tcf(c_336775,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))),k2_xboole_0(X1,k4_xboole_0(X2,X1))),
inference(theory_normalisation,[status(thm)],[c_336723,c_521,c_524]) ).
tcf(c_336776,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,k4_xboole_0(X2,X1)))
| r1_tarski(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)),X0) ),
inference(theory_normalisation,[status(thm)],[c_336719,c_521,c_524]) ).
tcf(c_336782,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,k4_xboole_0(X2,X1)))
| r1_tarski(sK25(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,k4_xboole_0(X2,X1))) ),
inference(theory_normalisation,[status(thm)],[c_336726,c_521,c_524]) ).
tcf(c_336786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k4_xboole_0(X2,X1)))))
| ~ r1_tarski(X0,k2_xboole_0(X1,k4_xboole_0(X2,X1))) ),
inference(theory_normalisation,[status(thm)],[c_336731,c_521,c_524]) ).
tcf(c_336790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k4_xboole_0(X2,X1)))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,k4_xboole_0(X2,X1))) ),
inference(theory_normalisation,[status(thm)],[c_336730,c_521,c_524]) ).
tcf(c_336794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k4_xboole_0(X2,X1)))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,k4_xboole_0(X2,X1))) ),
inference(theory_normalisation,[status(thm)],[c_336729,c_521,c_524]) ).
tcf(c_336828,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK47(X0),X0)
| ( k2_xboole_0(X0,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_328348,c_513]) ).
tcf(c_336829,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK47(X0),X0)
| ( k2_xboole_0(X0,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_326624,c_513]) ).
tcf(c_336830,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(X0,X1) = X1 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_326591,c_513]) ).
tcf(c_336831,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_90,c_513]) ).
tcf(c_336834,plain,
! [X0: $i] : k2_xboole_0(k2_tarski(X0,X0),k1_zfmisc_1(X0)) = k1_zfmisc_1(X0),
inference(superposition,[status(thm)],[c_263,c_513]) ).
tcf(c_336836,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_xboole_0(k2_relat_1(sK89(X0,X1)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_406,c_513]) ).
tcf(c_336837,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_430,c_513]) ).
tcf(c_336838,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_463,c_513]) ).
tcf(c_336839,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_483,c_513]) ).
tcf(c_336840,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_485,c_513]) ).
tcf(c_336841,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k2_xboole_0(X0,X2)) = k2_xboole_0(X0,X2),
inference(superposition,[status(thm)],[c_502,c_513]) ).
tcf(c_336842,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_515,c_513]) ).
tcf(c_336844,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_812,c_513]) ).
tcf(c_336846,plain,
! [X0: $i] : k2_xboole_0(k5_finsub_1(X0),k1_zfmisc_1(X0)) = k1_zfmisc_1(X0),
inference(superposition,[status(thm)],[c_920,c_513]) ).
tcf(c_336847,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_922,c_513]) ).
tcf(c_336848,plain,
k2_xboole_0(k5_numbers,k1_numbers) = k1_numbers,
inference(superposition,[status(thm)],[c_1091,c_513]) ).
tcf(c_336851,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_1307,c_513]) ).
tcf(c_336853,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_1408,c_513]) ).
tcf(c_336854,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k7_relat_1(X0,X1),X0) = X0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2269,c_513]) ).
tcf(c_336855,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_2270,c_513]) ).
tcf(c_336856,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_2325,c_513]) ).
tcf(c_336857,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_2367,c_513]) ).
tcf(c_336858,plain,
! [X0: $i] :
( v3_realset2(X0)
| ( k2_xboole_0(k7_lopclset(X0),k1_zfmisc_1(u1_struct_0(X0))) = k1_zfmisc_1(u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326375,c_513]) ).
tcf(c_336859,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_xboole_0(sK53(X0),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_326377,c_513]) ).
tcf(c_336860,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k2_xboole_0(X1,X0)) = k2_xboole_0(X1,X0),
inference(superposition,[status(thm)],[c_326993,c_513]) ).
tcf(c_336861,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_xboole_0(sK210(X0),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_326378,c_513]) ).
tcf(c_336862,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_xboole_0(sK211(X0),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_326379,c_513]) ).
tcf(c_336863,plain,
! [X0: $i] :
( ( k2_xboole_0(k2_finseq_1(X0),k5_numbers) = k5_numbers )
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_328268,c_513]) ).
tcf(c_336864,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))) = k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),
inference(superposition,[status(thm)],[c_33271,c_513]) ).
tcf(c_336865,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))),k2_xboole_0(X2,X1)) = k2_xboole_0(X2,X1),
inference(superposition,[status(thm)],[c_34474,c_513]) ).
tcf(c_336866,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| ( k2_xboole_0(sK26(k5_finsub_1(X1),X2,X0),X1) = X1 )
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323884,c_513]) ).
tcf(c_336867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| ( k2_xboole_0(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0) = X0 )
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323943,c_513]) ).
tcf(c_336868,plain,
! [X0: $i] : k2_xboole_0(sK29(k5_finsub_1(X0)),X0) = X0,
inference(superposition,[status(thm)],[c_323947,c_513]) ).
tcf(c_336869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| ( k2_xboole_0(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0) = X0 )
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_327049,c_513]) ).
tcf(c_336870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| ( k2_xboole_0(sK25(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2)),X0) = X0 )
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_324241,c_513]) ).
tcf(c_336871,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| ( k2_xboole_0(sK25(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0) = X0 )
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_324474,c_513]) ).
tcf(c_336872,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X1) = X1,
inference(superposition,[status(thm)],[c_324338,c_513]) ).
tcf(c_336873,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(X0),np__0)
| ( k2_xboole_0(sK25(k5_finsub_1(X0),np__0),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_324147,c_513]) ).
tcf(c_336874,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_xboole_0(sK207(X0),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_325276,c_513]) ).
tcf(c_336875,plain,
! [X0: $i] : k2_xboole_0(k5_finsub_1(np__0),k2_tarski(X0,np__0)) = k2_tarski(X0,np__0),
inference(superposition,[status(thm)],[c_325482,c_513]) ).
tcf(c_336876,plain,
! [X0: $i] : k2_xboole_0(k5_finsub_1(np__0),k2_tarski(np__0,X0)) = k2_tarski(np__0,X0),
inference(superposition,[status(thm)],[c_325488,c_513]) ).
tcf(c_336877,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_325615,c_513]) ).
tcf(c_336878,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_325616,c_513]) ).
tcf(c_336879,plain,
k2_xboole_0(k2_finseq_1(np__1),k1_zfmisc_1(np__1)) = k1_zfmisc_1(np__1),
inference(superposition,[status(thm)],[c_325618,c_513]) ).
tcf(c_336880,plain,
k2_xboole_0(k2_tarski(np__2,np__2),k2_finseq_1(np__2)) = k2_finseq_1(np__2),
inference(superposition,[status(thm)],[c_325630,c_513]) ).
tcf(c_336881,plain,
k2_xboole_0(k2_finseq_1(np__1),k2_finseq_1(np__2)) = k2_finseq_1(np__2),
inference(superposition,[status(thm)],[c_325633,c_513]) ).
tcf(c_336882,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X1,X0)) = k2_xboole_0(X1,X0),
inference(superposition,[status(thm)],[c_326816,c_513]) ).
tcf(c_336883,plain,
! [X0: $i] : k2_xboole_0(sK29(k1_zfmisc_1(X0)),X0) = X0,
inference(superposition,[status(thm)],[c_326374,c_513]) ).
tcf(c_336884,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| ( k2_xboole_0(sK26(k1_zfmisc_1(X1),X2,X0),X1) = X1 )
| ~ r1_tarski(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_326381,c_513]) ).
tcf(c_336885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| ( k2_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0) = X0 )
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_328021,c_513]) ).
tcf(c_336886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| ( k2_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0) = X0 )
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_326382,c_513]) ).
tcf(c_336887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| ( k2_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0) = X0 )
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_327861,c_513]) ).
tcf(c_336888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| ( k2_xboole_0(sK25(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2)),X0) = X0 )
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_326385,c_513]) ).
tcf(c_336889,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| ( k2_xboole_0(sK28(k1_zfmisc_1(X0),X1),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_326593,c_513]) ).
tcf(c_336890,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| ( k2_xboole_0(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_330258,c_513]) ).
tcf(c_336891,plain,
! [X0: $i] : k2_xboole_0(sK47(k1_zfmisc_1(X0)),X0) = X0,
inference(superposition,[status(thm)],[c_328444,c_513]) ).
tcf(c_336892,plain,
! [X0: $i] : k2_xboole_0(sK25(k1_zfmisc_1(X0),np__0),X0) = X0,
inference(superposition,[status(thm)],[c_328139,c_513]) ).
tcf(c_336893,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| ( k2_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0) = X0 )
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_331985,c_513]) ).
tcf(c_336894,plain,
! [X0: $i] : k2_xboole_0(k5_finsub_1(np__0),k1_zfmisc_1(X0)) = k1_zfmisc_1(X0),
inference(superposition,[status(thm)],[c_329271,c_513]) ).
tcf(c_336895,plain,
k2_xboole_0(k5_finsub_1(np__0),k5_finsub_1(sK205)) = k5_finsub_1(sK205),
inference(superposition,[status(thm)],[c_331184,c_513]) ).
tcf(c_336896,plain,
k2_xboole_0(sK47(k5_finsub_1(sK205)),sK205) = sK205,
inference(superposition,[status(thm)],[c_331190,c_513]) ).
tcf(c_336897,plain,
k2_xboole_0(k2_tarski(sK205,sK205),k5_finsub_1(sK205)) = k5_finsub_1(sK205),
inference(superposition,[status(thm)],[c_331212,c_513]) ).
tcf(c_336898,plain,
k2_xboole_0(sK53(sK205),sK205) = sK205,
inference(superposition,[status(thm)],[c_331347,c_513]) ).
tcf(c_336899,plain,
k2_xboole_0(sK210(sK205),sK205) = sK205,
inference(superposition,[status(thm)],[c_331361,c_513]) ).
tcf(c_336900,plain,
k2_xboole_0(sK211(sK205),sK205) = sK205,
inference(superposition,[status(thm)],[c_331375,c_513]) ).
tcf(c_336901,plain,
k2_xboole_0(k5_finsub_1(np__0),k5_finsub_1(sK212)) = k5_finsub_1(sK212),
inference(superposition,[status(thm)],[c_331593,c_513]) ).
tcf(c_336902,plain,
k2_xboole_0(sK47(k5_finsub_1(sK212)),sK212) = sK212,
inference(superposition,[status(thm)],[c_331599,c_513]) ).
tcf(c_336903,plain,
k2_xboole_0(k2_tarski(sK212,sK212),k5_finsub_1(sK212)) = k5_finsub_1(sK212),
inference(superposition,[status(thm)],[c_331621,c_513]) ).
tcf(c_336904,plain,
k2_xboole_0(sK53(sK212),sK212) = sK212,
inference(superposition,[status(thm)],[c_331939,c_513]) ).
tcf(c_336905,plain,
k2_xboole_0(sK210(sK212),sK212) = sK212,
inference(superposition,[status(thm)],[c_331954,c_513]) ).
tcf(c_336906,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,X1))
| ( k2_xboole_0(sK25(k1_zfmisc_1(X0),k2_xboole_0(X2,X1)),X0) = X0 )
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_331819,c_513]) ).
tcf(c_336907,plain,
k2_xboole_0(sK211(sK212),sK212) = sK212,
inference(superposition,[status(thm)],[c_331969,c_513]) ).
tcf(c_336908,plain,
k2_xboole_0(k5_finsub_1(np__0),k5_finsub_1(sK413)) = k5_finsub_1(sK413),
inference(superposition,[status(thm)],[c_333098,c_513]) ).
tcf(c_336909,plain,
k2_xboole_0(sK47(k5_finsub_1(sK413)),sK413) = sK413,
inference(superposition,[status(thm)],[c_333104,c_513]) ).
tcf(c_336910,plain,
k2_xboole_0(sK53(sK413),sK413) = sK413,
inference(superposition,[status(thm)],[c_334147,c_513]) ).
tcf(c_336911,plain,
k2_xboole_0(sK210(sK413),sK413) = sK413,
inference(superposition,[status(thm)],[c_334414,c_513]) ).
tcf(c_336912,plain,
k2_xboole_0(sK211(sK413),sK413) = sK413,
inference(superposition,[status(thm)],[c_334452,c_513]) ).
tcf(c_336913,plain,
k2_xboole_0(sK25(k5_finsub_1(sK212),np__0),sK212) = sK212,
inference(superposition,[status(thm)],[c_331606,c_513]) ).
tcf(c_336914,plain,
k2_xboole_0(sK25(k5_finsub_1(sK205),np__0),sK205) = sK205,
inference(superposition,[status(thm)],[c_331197,c_513]) ).
tcf(c_336915,plain,
k2_xboole_0(sK413,sK211(sK413)) = sK413,
inference(theory_normalisation,[status(thm)],[c_336912,c_521,c_524]) ).
tcf(c_336916,plain,
k2_xboole_0(sK413,sK210(sK413)) = sK413,
inference(theory_normalisation,[status(thm)],[c_336911,c_521,c_524]) ).
tcf(c_336917,plain,
k2_xboole_0(sK413,sK53(sK413)) = sK413,
inference(theory_normalisation,[status(thm)],[c_336910,c_521,c_524]) ).
tcf(c_336918,plain,
k2_xboole_0(sK212,sK211(sK212)) = sK212,
inference(theory_normalisation,[status(thm)],[c_336907,c_521,c_524]) ).
tcf(c_336919,plain,
k2_xboole_0(sK212,sK210(sK212)) = sK212,
inference(theory_normalisation,[status(thm)],[c_336905,c_521,c_524]) ).
tcf(c_336920,plain,
k2_xboole_0(sK212,sK53(sK212)) = sK212,
inference(theory_normalisation,[status(thm)],[c_336904,c_521,c_524]) ).
tcf(c_336921,plain,
k2_xboole_0(sK205,sK211(sK205)) = sK205,
inference(theory_normalisation,[status(thm)],[c_336900,c_521,c_524]) ).
tcf(c_336922,plain,
k2_xboole_0(sK205,sK210(sK205)) = sK205,
inference(theory_normalisation,[status(thm)],[c_336899,c_521,c_524]) ).
tcf(c_336923,plain,
k2_xboole_0(sK205,sK53(sK205)) = sK205,
inference(theory_normalisation,[status(thm)],[c_336898,c_521,c_524]) ).
tcf(c_336924,plain,
k2_xboole_0(sK413,sK47(k5_finsub_1(sK413))) = sK413,
inference(theory_normalisation,[status(thm)],[c_336909,c_521,c_524]) ).
tcf(c_336925,plain,
k2_xboole_0(sK212,sK47(k5_finsub_1(sK212))) = sK212,
inference(theory_normalisation,[status(thm)],[c_336902,c_521,c_524]) ).
tcf(c_336926,plain,
k2_xboole_0(sK205,sK47(k5_finsub_1(sK205))) = sK205,
inference(theory_normalisation,[status(thm)],[c_336896,c_521,c_524]) ).
tcf(c_336927,plain,
! [X0: $i] : k2_xboole_0(X0,sK47(k1_zfmisc_1(X0))) = X0,
inference(theory_normalisation,[status(thm)],[c_336891,c_521,c_524]) ).
tcf(c_336928,plain,
! [X0: $i] : k2_xboole_0(X0,sK29(k1_zfmisc_1(X0))) = X0,
inference(theory_normalisation,[status(thm)],[c_336883,c_521,c_524]) ).
tcf(c_336929,plain,
! [X0: $i] : k2_xboole_0(X0,sK29(k5_finsub_1(X0))) = X0,
inference(theory_normalisation,[status(thm)],[c_336868,c_521,c_524]) ).
tcf(c_336931,plain,
k2_xboole_0(sK205,sK25(k5_finsub_1(sK205),np__0)) = sK205,
inference(theory_normalisation,[status(thm)],[c_336914,c_521,c_524]) ).
tcf(c_336932,plain,
k2_xboole_0(sK212,sK25(k5_finsub_1(sK212),np__0)) = sK212,
inference(theory_normalisation,[status(thm)],[c_336913,c_521,c_524]) ).
tcf(c_336933,plain,
! [X0: $i] : k2_xboole_0(X0,sK25(k1_zfmisc_1(X0),np__0)) = X0,
inference(theory_normalisation,[status(thm)],[c_336892,c_521,c_524]) ).
tcf(c_336934,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_336879,c_521,c_524]) ).
tcf(c_336935,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_xboole_0(X0,sK207(X0)) = X0 ) ),
inference(theory_normalisation,[status(thm)],[c_336874,c_521,c_524]) ).
tcf(c_336938,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_xboole_0(X0,sK211(X0)) = X0 ) ),
inference(theory_normalisation,[status(thm)],[c_336862,c_521,c_524]) ).
tcf(c_336941,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_xboole_0(X0,sK210(X0)) = X0 ) ),
inference(theory_normalisation,[status(thm)],[c_336861,c_521,c_524]) ).
tcf(c_336944,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_xboole_0(X0,sK53(X0)) = X0 ) ),
inference(theory_normalisation,[status(thm)],[c_336859,c_521,c_524]) ).
tcf(c_336949,plain,
k2_xboole_0(k5_finsub_1(sK212),k2_tarski(sK212,sK212)) = k5_finsub_1(sK212),
inference(theory_normalisation,[status(thm)],[c_336903,c_521,c_524]) ).
tcf(c_336950,plain,
k2_xboole_0(k5_finsub_1(sK205),k2_tarski(sK205,sK205)) = k5_finsub_1(sK205),
inference(theory_normalisation,[status(thm)],[c_336897,c_521,c_524]) ).
tcf(c_336951,plain,
k2_xboole_0(k2_finseq_1(np__2),k2_tarski(np__2,np__2)) = k2_finseq_1(np__2),
inference(theory_normalisation,[status(thm)],[c_336880,c_521,c_524]) ).
tcf(c_336952,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X0))) = X0,
inference(theory_normalisation,[status(thm)],[c_336872,c_521,c_524]) ).
tcf(c_336953,plain,
! [X0: $i] :
( ( k2_xboole_0(k5_numbers,k2_finseq_1(X0)) = k5_numbers )
| ~ v4_ordinal2(X0) ),
inference(theory_normalisation,[status(thm)],[c_336863,c_521,c_524]) ).
tcf(c_336956,plain,
! [X0: $i] : k2_xboole_0(k1_zfmisc_1(X0),k2_tarski(X0,X0)) = k1_zfmisc_1(X0),
inference(theory_normalisation,[status(thm)],[c_336834,c_521,c_524]) ).
tcf(c_336961,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_336854,c_521,c_524]) ).
tcf(c_336964,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,k2_xboole_0(X1,k2_xboole_0(X1,X0))) = k2_xboole_0(X1,X0),
inference(theory_normalisation,[status(thm)],[c_336882,c_521,c_524]) ).
tcf(c_336965,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_336855,c_521,c_524]) ).
tcf(c_336976,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| ( k2_xboole_0(X0,sK28(k1_zfmisc_1(X0),X1)) = X0 ) ),
inference(theory_normalisation,[status(thm)],[c_336889,c_521,c_524]) ).
tcf(c_336979,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(X0),np__0)
| ( k2_xboole_0(X0,sK25(k5_finsub_1(X0),np__0)) = X0 ) ),
inference(theory_normalisation,[status(thm)],[c_336873,c_521,c_524]) ).
tcf(c_336982,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_336857,c_521,c_524]) ).
tcf(c_336985,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_336856,c_521,c_524]) ).
tcf(c_336992,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_xboole_0(X0,k2_relat_1(sK89(X0,X1))) = X0 ) ),
inference(theory_normalisation,[status(thm)],[c_336836,c_521,c_524]) ).
tcf(c_336999,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(X0,k2_xboole_0(X1,k4_xboole_0(X0,k4_xboole_0(X0,X2)))) = k2_xboole_0(X0,X1),
inference(theory_normalisation,[status(thm)],[c_336841,c_521,c_524]) ).
tcf(c_337000,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(X0,k2_xboole_0(X1,k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))) = k2_xboole_0(X1,X0),
inference(theory_normalisation,[status(thm)],[c_336865,c_521,c_524]) ).
tcf(c_337001,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_336840,c_521,c_524]) ).
tcf(c_337002,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_336838,c_521,c_524]) ).
tcf(c_337003,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| ( k2_xboole_0(X0,sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2))) = X0 ) ),
inference(theory_normalisation,[status(thm)],[c_336890,c_521,c_524]) ).
tcf(c_337013,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| ( k2_xboole_0(X1,sK26(k1_zfmisc_1(X1),X2,X0)) = X1 )
| ~ r1_tarski(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(theory_normalisation,[status(thm)],[c_336884,c_521,c_524]) ).
tcf(c_337018,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| ( k2_xboole_0(X1,sK26(k5_finsub_1(X1),X2,X0)) = X1 )
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(theory_normalisation,[status(thm)],[c_336866,c_521,c_524]) ).
tcf(c_337023,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k5_finsub_1(np__0),k2_xboole_0(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))) = k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),
inference(theory_normalisation,[status(thm)],[c_336864,c_521,c_524]) ).
tcf(c_337024,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,X1))
| ( k2_xboole_0(X0,sK25(k1_zfmisc_1(X0),k2_xboole_0(X2,X1))) = X0 )
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(theory_normalisation,[status(thm)],[c_336906,c_521,c_524]) ).
tcf(c_337028,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| ( k2_xboole_0(X0,sK25(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))) = X0 )
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(theory_normalisation,[status(thm)],[c_336893,c_521,c_524]) ).
tcf(c_337032,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| ( k2_xboole_0(X0,sK25(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))) = X0 )
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(theory_normalisation,[status(thm)],[c_336871,c_521,c_524]) ).
tcf(c_337036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| ( k2_xboole_0(X0,sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))) = X0 )
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(theory_normalisation,[status(thm)],[c_336887,c_521,c_524]) ).
tcf(c_337040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| ( k2_xboole_0(X0,sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))) = X0 )
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(theory_normalisation,[status(thm)],[c_336886,c_521,c_524]) ).
tcf(c_337044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| ( k2_xboole_0(X0,sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))) = X0 )
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(theory_normalisation,[status(thm)],[c_336885,c_521,c_524]) ).
tcf(c_337048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| ( k2_xboole_0(X0,sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))) = X0 )
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(theory_normalisation,[status(thm)],[c_336869,c_521,c_524]) ).
tcf(c_337052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| ( k2_xboole_0(X0,sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))) = X0 )
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(theory_normalisation,[status(thm)],[c_336867,c_521,c_524]) ).
tcf(c_337056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| ( k2_xboole_0(X0,sK25(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2))) = X0 )
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(theory_normalisation,[status(thm)],[c_336888,c_521,c_524]) ).
tcf(c_337063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| ( k2_xboole_0(X0,sK25(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2))) = X0 )
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(theory_normalisation,[status(thm)],[c_336870,c_521,c_524]) ).
tcf(c_337154,plain,
( v1_xcmplx_0(sK47(k5_finsub_1(sK413)))
| ~ v1_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333103,c_1808]) ).
tcf(c_337155,plain,
( v1_xreal_0(sK47(k5_finsub_1(sK413)))
| ~ v2_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333103,c_1807]) ).
tcf(c_337156,plain,
( v1_xcmplx_0(sK47(k5_finsub_1(sK413)))
| ~ v2_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333103,c_1806]) ).
tcf(c_337167,plain,
( v4_ordinal2(sK47(k5_finsub_1(sK413)))
| ~ v5_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333105,c_2042]) ).
tcf(c_337181,plain,
k2_xboole_0(sK25(k5_finsub_1(sK413),np__0),sK413) = sK413,
inference(superposition,[status(thm)],[c_333111,c_513]) ).
tcf(c_337182,plain,
( v1_membered(sK25(k5_finsub_1(sK413),np__0))
| ~ v1_membered(sK413) ),
inference(superposition,[status(thm)],[c_333111,c_2460]) ).
tcf(c_337183,plain,
( v1_finset_1(sK25(k5_finsub_1(sK413),np__0))
| ~ v1_finset_1(sK413) ),
inference(superposition,[status(thm)],[c_333111,c_872]) ).
tcf(c_337184,plain,
( v1_relat_1(sK25(k5_finsub_1(sK413),np__0))
| ~ v1_relat_1(sK413) ),
inference(superposition,[status(thm)],[c_333111,c_70]) ).
tcf(c_337186,plain,
! [X0: $i] :
( r1_tarski(X0,sK25(k5_finsub_1(sK413),np__0))
| m1_subset_1(sK25(X0,sK25(k5_finsub_1(sK413),np__0)),X0)
| ~ r1_tarski(X0,sK413) ),
inference(superposition,[status(thm)],[c_333111,c_97752]) ).
tcf(c_337187,plain,
v1_relat_1(sK25(k5_finsub_1(sK413),np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_337184,c_2208]) ).
tcf(c_337188,plain,
v1_finset_1(sK25(k5_finsub_1(sK413),np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_337183,c_2210]) ).
tcf(c_337191,plain,
k2_xboole_0(sK413,sK25(k5_finsub_1(sK413),np__0)) = sK413,
inference(theory_normalisation,[status(thm)],[c_337181,c_521,c_524]) ).
tcf(c_337196,plain,
k9_relat_1(sK25(k5_finsub_1(sK413),np__0),np__0) = np__0,
inference(superposition,[status(thm)],[c_337187,c_2363]) ).
tcf(c_337197,plain,
k10_relat_1(sK25(k5_finsub_1(sK413),np__0),np__0) = np__0,
inference(superposition,[status(thm)],[c_337187,c_2321]) ).
tcf(c_337198,plain,
k7_relat_1(sK25(k5_finsub_1(sK413),np__0),np__0) = np__0,
inference(superposition,[status(thm)],[c_337187,c_2249]) ).
tcf(c_337199,plain,
k5_relat_1(sK25(k5_finsub_1(sK413),np__0),np__0) = np__0,
inference(superposition,[status(thm)],[c_337187,c_1272]) ).
tcf(c_337200,plain,
k5_relat_1(np__0,sK25(k5_finsub_1(sK413),np__0)) = np__0,
inference(superposition,[status(thm)],[c_337187,c_1271]) ).
tcf(c_337201,plain,
k2_relat_1(sK412(sK25(k5_finsub_1(sK413),np__0))) = sK25(k5_finsub_1(sK413),np__0),
inference(superposition,[status(thm)],[c_337188,c_2199]) ).
tcf(c_337202,plain,
k1_zfmisc_1(sK25(k5_finsub_1(sK413),np__0)) = k5_finsub_1(sK25(k5_finsub_1(sK413),np__0)),
inference(superposition,[status(thm)],[c_337188,c_859]) ).
tcf(c_337209,plain,
( v1_xcmplx_0(k1_card_1(sK413))
| ~ v1_membered(k1_card_1(k5_finsub_1(sK413))) ),
inference(superposition,[status(thm)],[c_333117,c_1808]) ).
tcf(c_337210,plain,
( v1_xreal_0(k1_card_1(sK413))
| ~ v2_membered(k1_card_1(k5_finsub_1(sK413))) ),
inference(superposition,[status(thm)],[c_333117,c_1807]) ).
tcf(c_337211,plain,
( v1_xcmplx_0(k1_card_1(sK413))
| ~ v2_membered(k1_card_1(k5_finsub_1(sK413))) ),
inference(superposition,[status(thm)],[c_333117,c_1806]) ).
tcf(c_337220,plain,
( v4_ordinal2(k1_card_1(sK413))
| ~ v5_membered(k1_card_1(k5_finsub_1(sK413))) ),
inference(superposition,[status(thm)],[c_333122,c_2042]) ).
tcf(c_337223,plain,
r2_hidden(sK47(k1_card_1(k5_finsub_1(sK413))),k1_card_1(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_333122,c_192]) ).
tcf(c_337233,plain,
k2_xboole_0(k2_tarski(sK413,sK413),k5_finsub_1(sK413)) = k5_finsub_1(sK413),
inference(superposition,[status(thm)],[c_333125,c_513]) ).
tcf(c_337234,plain,
( v1_membered(k2_tarski(sK413,sK413))
| ~ v1_membered(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333125,c_2460]) ).
tcf(c_337235,plain,
( v1_finset_1(k2_tarski(sK413,sK413))
| ~ v1_finset_1(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333125,c_872]) ).
tcf(c_337236,plain,
( v1_relat_1(k2_tarski(sK413,sK413))
| ~ v1_relat_1(k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333125,c_70]) ).
tcf(c_337238,plain,
! [X0: $i] :
( r1_tarski(X0,k2_tarski(sK413,sK413))
| m1_subset_1(sK25(X0,k2_tarski(sK413,sK413)),X0)
| ~ r1_tarski(X0,k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333125,c_97752]) ).
tcf(c_337245,plain,
k2_xboole_0(k5_finsub_1(sK413),k2_tarski(sK413,sK413)) = k5_finsub_1(sK413),
inference(theory_normalisation,[status(thm)],[c_337233,c_521,c_524]) ).
tcf(c_337260,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_519,c_498]) ).
tcf(c_337261,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_519,c_485]) ).
tcf(c_337264,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_519,c_463]) ).
tcf(c_337266,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_519,c_483]) ).
tcf(c_337267,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(X0,X1),k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_519,c_327043]) ).
tcf(c_337269,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(X0,X1),k2_xboole_0(k2_xboole_0(X0,X1),X0)),
inference(superposition,[status(thm)],[c_519,c_326816]) ).
tcf(c_337276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(k2_xboole_0(X1,X2),X1))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_519,c_327861]) ).
tcf(c_337278,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(k2_xboole_0(X1,X2),X1))
| r1_tarski(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)),X0) ),
inference(superposition,[status(thm)],[c_519,c_330258]) ).
tcf(c_337279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(k2_xboole_0(X1,X2),X1))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_519,c_327049]) ).
tcf(c_337281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k2_xboole_0(X1,X2)))))
| ~ r1_tarski(X0,k2_xboole_0(X1,k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_519,c_323866]) ).
tcf(c_337282,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))),k2_xboole_0(k2_xboole_0(X1,X2),X1)),
inference(superposition,[status(thm)],[c_519,c_34474]) ).
tcf(c_337284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(k2_xboole_0(X1,X2),X1))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k2_xboole_0(X1,X2),X1)) ),
inference(superposition,[status(thm)],[c_519,c_328021]) ).
tcf(c_337285,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,k2_xboole_0(X1,X2)))
| r1_tarski(sK25(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k2_xboole_0(X1,X2),X1)) ),
inference(superposition,[status(thm)],[c_519,c_331819]) ).
tcf(c_337288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k2_xboole_0(X1,X2)))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k2_xboole_0(X1,X2),X1)) ),
inference(superposition,[status(thm)],[c_519,c_326382]) ).
tcf(c_337289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k2_xboole_0(X1,X2)))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(k2_xboole_0(X1,X2),X1)) ),
inference(superposition,[status(thm)],[c_519,c_323943]) ).
tcf(c_337290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k2_xboole_0(X1,X2)))))
| ~ r1_tarski(X0,k2_xboole_0(k2_xboole_0(X1,X2),X1)) ),
inference(superposition,[status(thm)],[c_519,c_323865]) ).
tcf(c_337291,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(k2_xboole_0(X1,X2),X1))),k2_xboole_0(X1,X2)),
inference(superposition,[status(thm)],[c_519,c_34474]) ).
tcf(c_337293,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k2_xboole_0(X0,X1),X0),k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_519,c_326816]) ).
tcf(c_337310,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(X0,k2_xboole_0(X1,X0)),k2_xboole_0(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_337293,c_521,c_524]) ).
tcf(c_337312,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(X0,X1),k2_xboole_0(X0,k2_xboole_0(X1,X0))),
inference(theory_normalisation,[status(thm)],[c_337269,c_521,c_524]) ).
tcf(c_337314,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,k2_xboole_0(X2,X1)))),k2_xboole_0(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_337291,c_521,c_524]) ).
tcf(c_337315,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))),k2_xboole_0(X1,k2_xboole_0(X2,X1))),
inference(theory_normalisation,[status(thm)],[c_337282,c_521,c_524]) ).
tcf(c_337316,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_337260,c_492]) ).
tcf(c_337317,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,k2_xboole_0(X2,X1)))
| r1_tarski(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)),X0) ),
inference(theory_normalisation,[status(thm)],[c_337278,c_521,c_524]) ).
tcf(c_337320,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,k2_xboole_0(X1,X2)))
| r1_tarski(sK25(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,k2_xboole_0(X2,X1))) ),
inference(theory_normalisation,[status(thm)],[c_337285,c_521,c_524]) ).
tcf(c_337324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k2_xboole_0(X1,X2)))))
| ~ r1_tarski(X0,k2_xboole_0(X1,k2_xboole_0(X2,X1))) ),
inference(theory_normalisation,[status(thm)],[c_337290,c_521,c_524]) ).
tcf(c_337331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k2_xboole_0(X1,X2)))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,k2_xboole_0(X2,X1))) ),
inference(theory_normalisation,[status(thm)],[c_337289,c_521,c_524]) ).
tcf(c_337335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k2_xboole_0(X1,X2)))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,k2_xboole_0(X2,X1))) ),
inference(theory_normalisation,[status(thm)],[c_337288,c_521,c_524]) ).
tcf(c_337339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k2_xboole_0(X2,X1)))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,k2_xboole_0(X2,X1))) ),
inference(theory_normalisation,[status(thm)],[c_337284,c_521,c_524]) ).
tcf(c_337343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k2_xboole_0(X2,X1)))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,k2_xboole_0(X1,X2))) ),
inference(theory_normalisation,[status(thm)],[c_337279,c_521,c_524]) ).
tcf(c_337347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,k2_xboole_0(X2,X1)))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,k2_xboole_0(X1,X2))) ),
inference(theory_normalisation,[status(thm)],[c_337276,c_521,c_524]) ).
tcf(c_337372,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xcmplx_0(k2_group_1(X0))
| ~ l1_group_1(X0)
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_685,c_1808]) ).
tcf(c_337373,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xreal_0(k2_group_1(X0))
| ~ l1_group_1(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_685,c_1807]) ).
tcf(c_337374,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xcmplx_0(k2_group_1(X0))
| ~ l1_group_1(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_685,c_1806]) ).
tcf(c_337375,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k2_group_1(X0))
| ~ l1_group_1(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_685,c_190]) ).
tcf(c_337376,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(superposition,[status(thm)],[c_685,c_188]) ).
tcf(c_337418,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_812,c_816]) ).
tcf(c_337419,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_492,c_816]) ).
tcf(c_337441,plain,
( ~ v5_membered(k1_numbers)
| ~ v2_xreal_0(sK401(k1_numbers))
| ~ v3_xreal_0(sK401(k1_numbers)) ),
inference(superposition,[status(thm)],[c_333323,c_2171]) ).
tcf(c_337442,plain,
( v2_xreal_0(sK401(k1_numbers))
| v3_xreal_0(sK401(k1_numbers))
| v1_xboole_0(sK401(k1_numbers))
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_333323,c_2168]) ).
tcf(c_337443,plain,
( v1_xcmplx_0(sK401(k1_numbers))
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_333323,c_1811]) ).
tcf(c_337491,plain,
( v1_int_1(sK47(k1_numbers))
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_333395,c_2055]) ).
tcf(c_337514,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| ( k2_xboole_0(sK28(k5_finsub_1(np__0),X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_328382,c_513]) ).
tcf(c_337515,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| v1_membered(sK28(k5_finsub_1(np__0),X0))
| ~ v1_membered(np__0) ),
inference(superposition,[status(thm)],[c_328382,c_2460]) ).
tcf(c_337516,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| v1_finset_1(sK28(k5_finsub_1(np__0),X0))
| ~ v1_finset_1(np__0) ),
inference(superposition,[status(thm)],[c_328382,c_872]) ).
tcf(c_337517,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| v1_relat_1(sK28(k5_finsub_1(np__0),X0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_328382,c_70]) ).
tcf(c_337518,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| ~ r2_hidden(np__0,sK28(k5_finsub_1(np__0),X0)) ),
inference(superposition,[status(thm)],[c_328382,c_69]) ).
tcf(c_337519,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(np__0),X1)
| r1_tarski(X0,sK28(k5_finsub_1(np__0),X1))
| m1_subset_1(sK25(X0,sK28(k5_finsub_1(np__0),X1)),X0)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_328382,c_97752]) ).
tcf(c_337523,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| v1_relat_1(sK28(k5_finsub_1(np__0),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_337517,c_2204]) ).
tcf(c_337526,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| v1_finset_1(sK28(k5_finsub_1(np__0),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_337516,c_324073]) ).
tcf(c_337529,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| v1_membered(sK28(k5_finsub_1(np__0),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_337515,c_223801]) ).
tcf(c_337532,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| ( k2_xboole_0(np__0,sK28(k5_finsub_1(np__0),X0)) = np__0 ) ),
inference(theory_normalisation,[status(thm)],[c_337514,c_521,c_524]) ).
tcf(c_337543,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK47(X0),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_328348,c_817]) ).
tcf(c_337544,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK47(X0),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_326624,c_817]) ).
tcf(c_337545,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_326591,c_817]) ).
tcf(c_337546,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_90,c_817]) ).
tcf(c_337549,plain,
! [X0: $i] : k4_xboole_0(k2_tarski(X0,X0),k1_zfmisc_1(X0)) = np__0,
inference(superposition,[status(thm)],[c_263,c_817]) ).
tcf(c_337551,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(k2_relat_1(sK89(X0,X1)),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_406,c_817]) ).
tcf(c_337552,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_430,c_817]) ).
tcf(c_337553,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_463,c_817]) ).
tcf(c_337554,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_483,c_817]) ).
tcf(c_337555,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_485,c_817]) ).
tcf(c_337556,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k2_xboole_0(X0,X2)) = np__0,
inference(superposition,[status(thm)],[c_502,c_817]) ).
tcf(c_337557,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_515,c_817]) ).
tcf(c_337559,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_812,c_817]) ).
tcf(c_337560,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k4_xboole_0(X0,X1),X0) = np__0,
inference(superposition,[status(thm)],[c_819,c_817]) ).
tcf(c_337561,plain,
! [X0: $i] : k4_xboole_0(k5_finsub_1(X0),k1_zfmisc_1(X0)) = np__0,
inference(superposition,[status(thm)],[c_920,c_817]) ).
tcf(c_337562,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_922,c_817]) ).
tcf(c_337563,plain,
k4_xboole_0(k5_numbers,k1_numbers) = np__0,
inference(superposition,[status(thm)],[c_1091,c_817]) ).
tcf(c_337566,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_1307,c_817]) ).
tcf(c_337569,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_2269,c_817]) ).
tcf(c_337570,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_2270,c_817]) ).
tcf(c_337571,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_2325,c_817]) ).
tcf(c_337572,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_2367,c_817]) ).
tcf(c_337573,plain,
! [X0: $i] :
( v3_realset2(X0)
| ( k4_xboole_0(k7_lopclset(X0),k1_zfmisc_1(u1_struct_0(X0))) = np__0 )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326375,c_817]) ).
tcf(c_337574,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k4_xboole_0(sK53(X0),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_326377,c_817]) ).
tcf(c_337576,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k4_xboole_0(sK210(X0),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_326378,c_817]) ).
tcf(c_337577,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k4_xboole_0(sK211(X0),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_326379,c_817]) ).
tcf(c_337578,plain,
! [X0: $i] :
( ( k4_xboole_0(k2_finseq_1(X0),k5_numbers) = np__0 )
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_328268,c_817]) ).
tcf(c_337579,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))) = np__0,
inference(superposition,[status(thm)],[c_33271,c_817]) ).
tcf(c_337580,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))),k2_xboole_0(X2,X1)) = np__0,
inference(superposition,[status(thm)],[c_34474,c_817]) ).
tcf(c_337581,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| ( k4_xboole_0(sK26(k5_finsub_1(X1),X2,X0),X1) = np__0 )
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323884,c_817]) ).
tcf(c_337582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| ( k4_xboole_0(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0) = np__0 )
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_323943,c_817]) ).
tcf(c_337583,plain,
! [X0: $i] : k4_xboole_0(sK29(k5_finsub_1(X0)),X0) = np__0,
inference(superposition,[status(thm)],[c_323947,c_817]) ).
tcf(c_337584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| ( k4_xboole_0(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0) = np__0 )
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_327049,c_817]) ).
tcf(c_337585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| ( k4_xboole_0(sK25(k5_finsub_1(X0),sK26(k5_finsub_1(X1),X3,X2)),X0) = np__0 )
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_324241,c_817]) ).
tcf(c_337586,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| ( k4_xboole_0(sK25(k5_finsub_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0) = np__0 )
| ~ r1_tarski(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_324474,c_817]) ).
tcf(c_337587,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X1) = np__0,
inference(superposition,[status(thm)],[c_324338,c_817]) ).
tcf(c_337588,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(X0),np__0)
| ( k4_xboole_0(sK25(k5_finsub_1(X0),np__0),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_324147,c_817]) ).
tcf(c_337589,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k4_xboole_0(sK207(X0),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_325276,c_817]) ).
tcf(c_337590,plain,
! [X0: $i] : k4_xboole_0(k5_finsub_1(np__0),k2_tarski(X0,np__0)) = np__0,
inference(superposition,[status(thm)],[c_325482,c_817]) ).
tcf(c_337591,plain,
! [X0: $i] : k4_xboole_0(k5_finsub_1(np__0),k2_tarski(np__0,X0)) = np__0,
inference(superposition,[status(thm)],[c_325488,c_817]) ).
tcf(c_337592,plain,
! [X0: $i] : k4_xboole_0(k2_finseq_1(np__1),k2_tarski(np__1,X0)) = np__0,
inference(superposition,[status(thm)],[c_325615,c_817]) ).
tcf(c_337593,plain,
! [X0: $i] : k4_xboole_0(k2_finseq_1(np__1),k2_tarski(X0,np__1)) = np__0,
inference(superposition,[status(thm)],[c_325616,c_817]) ).
tcf(c_337594,plain,
k4_xboole_0(k2_finseq_1(np__1),k1_zfmisc_1(np__1)) = np__0,
inference(superposition,[status(thm)],[c_325618,c_817]) ).
tcf(c_337595,plain,
k4_xboole_0(k2_tarski(np__2,np__2),k2_finseq_1(np__2)) = np__0,
inference(superposition,[status(thm)],[c_325630,c_817]) ).
tcf(c_337596,plain,
k4_xboole_0(k2_finseq_1(np__1),k2_finseq_1(np__2)) = np__0,
inference(superposition,[status(thm)],[c_325633,c_817]) ).
tcf(c_337597,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X1,X0)) = np__0,
inference(superposition,[status(thm)],[c_326816,c_817]) ).
tcf(c_337598,plain,
! [X0: $i] : k4_xboole_0(sK29(k1_zfmisc_1(X0)),X0) = np__0,
inference(superposition,[status(thm)],[c_326374,c_817]) ).
tcf(c_337599,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| ( k4_xboole_0(sK26(k1_zfmisc_1(X1),X2,X0),X1) = np__0 )
| ~ r1_tarski(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_326381,c_817]) ).
tcf(c_337600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2))))
| ( k4_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0) = np__0 )
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_328021,c_817]) ).
tcf(c_337601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| ( k4_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1)))),X0) = np__0 )
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_326382,c_817]) ).
tcf(c_337602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X2,X1))))
| ( k4_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X2)))),X0) = np__0 )
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_327861,c_817]) ).
tcf(c_337603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| ( k4_xboole_0(sK25(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2)),X0) = np__0 )
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_326385,c_817]) ).
tcf(c_337604,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| ( k4_xboole_0(sK28(k1_zfmisc_1(X0),X1),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_326593,c_817]) ).
tcf(c_337605,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| ( k4_xboole_0(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_330258,c_817]) ).
tcf(c_337606,plain,
! [X0: $i] : k4_xboole_0(sK47(k1_zfmisc_1(X0)),X0) = np__0,
inference(superposition,[status(thm)],[c_328444,c_817]) ).
tcf(c_337607,plain,
! [X0: $i] : k4_xboole_0(sK25(k1_zfmisc_1(X0),np__0),X0) = np__0,
inference(superposition,[status(thm)],[c_328139,c_817]) ).
tcf(c_337608,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| ( k4_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X2,k4_xboole_0(X2,X1))),X0) = np__0 )
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_331985,c_817]) ).
tcf(c_337609,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| ( k4_xboole_0(sK28(k5_finsub_1(np__0),X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_328382,c_817]) ).
tcf(c_337610,plain,
! [X0: $i] : k4_xboole_0(k5_finsub_1(np__0),k1_zfmisc_1(X0)) = np__0,
inference(superposition,[status(thm)],[c_329271,c_817]) ).
tcf(c_337611,plain,
k4_xboole_0(k5_finsub_1(np__0),k5_finsub_1(sK205)) = np__0,
inference(superposition,[status(thm)],[c_331184,c_817]) ).
tcf(c_337612,plain,
k4_xboole_0(sK47(k5_finsub_1(sK205)),sK205) = np__0,
inference(superposition,[status(thm)],[c_331190,c_817]) ).
tcf(c_337613,plain,
k4_xboole_0(k2_tarski(sK205,sK205),k5_finsub_1(sK205)) = np__0,
inference(superposition,[status(thm)],[c_331212,c_817]) ).
tcf(c_337614,plain,
k4_xboole_0(sK53(sK205),sK205) = np__0,
inference(superposition,[status(thm)],[c_331347,c_817]) ).
tcf(c_337615,plain,
k4_xboole_0(sK210(sK205),sK205) = np__0,
inference(superposition,[status(thm)],[c_331361,c_817]) ).
tcf(c_337616,plain,
k4_xboole_0(sK211(sK205),sK205) = np__0,
inference(superposition,[status(thm)],[c_331375,c_817]) ).
tcf(c_337617,plain,
k4_xboole_0(k5_finsub_1(np__0),k5_finsub_1(sK212)) = np__0,
inference(superposition,[status(thm)],[c_331593,c_817]) ).
tcf(c_337618,plain,
k4_xboole_0(sK47(k5_finsub_1(sK212)),sK212) = np__0,
inference(superposition,[status(thm)],[c_331599,c_817]) ).
tcf(c_337619,plain,
k4_xboole_0(k2_tarski(sK212,sK212),k5_finsub_1(sK212)) = np__0,
inference(superposition,[status(thm)],[c_331621,c_817]) ).
tcf(c_337620,plain,
k4_xboole_0(sK53(sK212),sK212) = np__0,
inference(superposition,[status(thm)],[c_331939,c_817]) ).
tcf(c_337621,plain,
k4_xboole_0(sK210(sK212),sK212) = np__0,
inference(superposition,[status(thm)],[c_331954,c_817]) ).
tcf(c_337622,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,X1))
| ( k4_xboole_0(sK25(k1_zfmisc_1(X0),k2_xboole_0(X2,X1)),X0) = np__0 )
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_331819,c_817]) ).
tcf(c_337623,plain,
k4_xboole_0(sK211(sK212),sK212) = np__0,
inference(superposition,[status(thm)],[c_331969,c_817]) ).
tcf(c_337624,plain,
k4_xboole_0(k5_finsub_1(np__0),k5_finsub_1(sK413)) = np__0,
inference(superposition,[status(thm)],[c_333098,c_817]) ).
tcf(c_337625,plain,
k4_xboole_0(sK47(k5_finsub_1(sK413)),sK413) = np__0,
inference(superposition,[status(thm)],[c_333104,c_817]) ).
tcf(c_337626,plain,
k4_xboole_0(k2_tarski(sK413,sK413),k5_finsub_1(sK413)) = np__0,
inference(superposition,[status(thm)],[c_333125,c_817]) ).
tcf(c_337627,plain,
k4_xboole_0(sK53(sK413),sK413) = np__0,
inference(superposition,[status(thm)],[c_334147,c_817]) ).
tcf(c_337628,plain,
k4_xboole_0(sK210(sK413),sK413) = np__0,
inference(superposition,[status(thm)],[c_334414,c_817]) ).
tcf(c_337629,plain,
k4_xboole_0(sK211(sK413),sK413) = np__0,
inference(superposition,[status(thm)],[c_334452,c_817]) ).
tcf(c_337630,plain,
k4_xboole_0(sK25(k5_finsub_1(sK413),np__0),sK413) = np__0,
inference(superposition,[status(thm)],[c_333111,c_817]) ).
tcf(c_337631,plain,
k4_xboole_0(sK25(k5_finsub_1(sK212),np__0),sK212) = np__0,
inference(superposition,[status(thm)],[c_331606,c_817]) ).
tcf(c_337632,plain,
k4_xboole_0(sK25(k5_finsub_1(sK205),np__0),sK205) = np__0,
inference(superposition,[status(thm)],[c_331197,c_817]) ).
tcf(c_337846,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_498,c_818]) ).
tcf(c_337848,plain,
! [X0: $i] :
( r1_tarski(X0,np__0)
| ( X0 != np__0 ) ),
inference(superposition,[status(thm)],[c_825,c_818]) ).
tcf(c_337858,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| ~ r2_hidden(sK28(k4_xboole_0(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_103,c_831]) ).
tcf(c_337859,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r2_hidden(sK41(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_167,c_831]) ).
tcf(c_337860,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK72(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_337,c_831]) ).
tcf(c_337861,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK73(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_338,c_831]) ).
tcf(c_337862,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r2_hidden(sK118(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_558,c_831]) ).
tcf(c_337863,plain,
! [X0: $i,X1: $i] :
( sP0(k4_xboole_0(X0,X1))
| v1_funct_1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK124(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_569,c_831]) ).
tcf(c_337864,plain,
! [X0: $i,X1: $i] :
( sP0(k4_xboole_0(X0,X1))
| v1_relat_1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK124(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_567,c_831]) ).
tcf(c_337865,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK137(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_587,c_831]) ).
tcf(c_337867,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ v1_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK354(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_1801,c_831]) ).
tcf(c_337868,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK355(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_1803,c_831]) ).
tcf(c_337869,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ v5_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK401(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2039,c_831]) ).
tcf(c_337870,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK402(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2041,c_831]) ).
tcf(c_337871,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r2_hidden(sK432(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2378,c_831]) ).
tcf(c_337872,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r2_hidden(sK433(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2380,c_831]) ).
tcf(c_337873,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r2_hidden(sK434(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2382,c_831]) ).
tcf(c_337874,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r2_hidden(sK435(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2384,c_831]) ).
tcf(c_337875,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r2_hidden(sK436(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2386,c_831]) ).
tcf(c_337876,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r2_hidden(sK437(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2388,c_831]) ).
tcf(c_337877,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k4_xboole_0(X0,X1),X2)
| ~ r2_hidden(sK439(k4_xboole_0(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_2439,c_831]) ).
tcf(c_337878,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X1,X2))
| ~ r2_hidden(sK439(X0,k4_xboole_0(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_2440,c_831]) ).
tcf(c_337879,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k4_xboole_0(X0,X1)))
| ~ r2_hidden(sK441(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2459,c_831]) ).
tcf(c_337880,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k4_xboole_0(X0,X1),X2)
| ~ r2_hidden(sK47(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_328923,c_831]) ).
tcf(c_337881,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK47(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_329782,c_831]) ).
tcf(c_337883,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k4_xboole_0(X0,X1)))
| ~ r2_hidden(sK47(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_326636,c_831]) ).
tcf(c_337884,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK47(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_328340,c_831]) ).
tcf(c_337885,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| ~ r2_hidden(sK47(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_326624,c_831]) ).
tcf(c_337886,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK47(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_326635,c_831]) ).
tcf(c_337887,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK47(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_326634,c_831]) ).
tcf(c_337888,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK47(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_326629,c_831]) ).
tcf(c_337889,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK47(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_326627,c_831]) ).
tcf(c_337890,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK29(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_329379,c_831]) ).
tcf(c_338001,plain,
! [X0: $i,X1: $i] :
( ( k1_card_1(sK204(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_465,c_835]) ).
tcf(c_338002,plain,
! [X0: $i,X1: $i] :
( ( k1_card_1(sK204(k4_xboole_0(X0,X1))) = k1_card_1(k4_xboole_0(X0,X1)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_789,c_835]) ).
tcf(c_338003,plain,
! [X0: $i] :
( ( k1_card_1(sK204(k1_card_1(X0))) = k1_card_1(k1_card_1(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_837,c_835]) ).
tcf(c_338004,plain,
! [X0: $i] :
( ( k1_card_1(sK204(k1_relat_1(X0))) = k1_card_1(k1_relat_1(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_324289,c_835]) ).
tcf(c_338005,plain,
! [X0: $i] :
( ( k1_card_1(sK204(k2_relat_1(X0))) = k1_card_1(k2_relat_1(X0)) )
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_839,c_835]) ).
tcf(c_338006,plain,
! [X0: $i] :
( ( k1_card_1(sK204(k2_relat_1(X0))) = k1_card_1(k2_relat_1(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_324374,c_835]) ).
tcf(c_338007,plain,
k1_card_1(sK204(sK205)) = k1_card_1(sK205),
inference(superposition,[status(thm)],[c_843,c_835]) ).
tcf(c_338008,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_card_1(sK204(sK207(X0))) = k1_card_1(sK207(X0)) ) ),
inference(superposition,[status(thm)],[c_853,c_835]) ).
tcf(c_338009,plain,
! [X0: $i] :
( ( k1_card_1(sK204(k1_zfmisc_1(X0))) = k1_card_1(k1_zfmisc_1(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_865,c_835]) ).
tcf(c_338010,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_card_1(sK204(sK210(X0))) = k1_card_1(sK210(X0)) ) ),
inference(superposition,[status(thm)],[c_875,c_835]) ).
tcf(c_338011,plain,
! [X0: $i,X1: $i] :
( ( k1_card_1(sK204(k4_xboole_0(X1,k4_xboole_0(X1,X0)))) = k1_card_1(k4_xboole_0(X1,k4_xboole_0(X1,X0))) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_878,c_835]) ).
tcf(c_338012,plain,
! [X0: $i,X1: $i] : k1_card_1(sK204(k2_tarski(X0,X1))) = k1_card_1(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_881,c_835]) ).
tcf(c_338013,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_card_1(sK204(sK211(X0))) = k1_card_1(sK211(X0)) ) ),
inference(superposition,[status(thm)],[c_884,c_835]) ).
tcf(c_338014,plain,
k1_card_1(sK204(sK212)) = k1_card_1(sK212),
inference(superposition,[status(thm)],[c_889,c_835]) ).
tcf(c_338015,plain,
k1_card_1(sK204(sK413)) = k1_card_1(sK413),
inference(superposition,[status(thm)],[c_2210,c_835]) ).
tcf(c_338016,plain,
! [X0: $i] : k1_card_1(sK204(sK414(X0))) = k1_card_1(sK414(X0)),
inference(superposition,[status(thm)],[c_2215,c_835]) ).
tcf(c_338017,plain,
k1_card_1(sK204(np__0)) = k1_card_1(np__0),
inference(superposition,[status(thm)],[c_324073,c_835]) ).
tcf(c_338018,plain,
k1_card_1(sK204(sK29(k5_numbers))) = k1_card_1(sK29(k5_numbers)),
inference(superposition,[status(thm)],[c_324663,c_835]) ).
tcf(c_338019,plain,
k1_card_1(sK204(k5_finsub_1(np__0))) = k1_card_1(k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_324881,c_835]) ).
tcf(c_338020,plain,
! [X0: $i] : k1_card_1(sK204(sK29(k5_finsub_1(X0)))) = k1_card_1(sK29(k5_finsub_1(X0))),
inference(superposition,[status(thm)],[c_325364,c_835]) ).
tcf(c_338021,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| ( k1_card_1(sK204(sK72(k5_finsub_1(X0)))) = k1_card_1(sK72(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_325460,c_835]) ).
tcf(c_338022,plain,
( v1_realset1(k5_numbers)
| ( k1_card_1(sK204(sK72(k5_numbers))) = k1_card_1(sK72(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_325466,c_835]) ).
tcf(c_338023,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| ( k1_card_1(sK204(sK73(k5_finsub_1(X0)))) = k1_card_1(sK73(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_325531,c_835]) ).
tcf(c_338024,plain,
( v1_realset1(k5_numbers)
| ( k1_card_1(sK204(sK73(k5_numbers))) = k1_card_1(sK73(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_325537,c_835]) ).
tcf(c_338025,plain,
k1_card_1(sK204(k2_finseq_1(np__1))) = k1_card_1(k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_325613,c_835]) ).
tcf(c_338026,plain,
k1_card_1(sK204(k2_finseq_1(np__2))) = k1_card_1(k2_finseq_1(np__2)),
inference(superposition,[status(thm)],[c_325629,c_835]) ).
tcf(c_338027,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| ( k1_card_1(sK204(sK137(k5_finsub_1(X0)))) = k1_card_1(sK137(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_325581,c_835]) ).
tcf(c_338028,plain,
( v1_relat_1(k5_numbers)
| ( k1_card_1(sK204(sK137(k5_numbers))) = k1_card_1(sK137(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_325587,c_835]) ).
tcf(c_338029,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| ( k1_card_1(sK204(sK355(k5_finsub_1(X0)))) = k1_card_1(sK355(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_325712,c_835]) ).
tcf(c_338030,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| ( k1_card_1(sK204(sK402(k5_finsub_1(X0)))) = k1_card_1(sK402(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_325779,c_835]) ).
tcf(c_338031,plain,
! [X0: $i] :
( ( k1_card_1(sK204(sK204(X0))) = k1_card_1(sK204(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_327515,c_835]) ).
tcf(c_338032,plain,
! [X0: $i] :
( v2_membered(k5_finsub_1(X0))
| ( k1_card_1(sK204(sK47(k5_finsub_1(X0)))) = k1_card_1(sK47(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_328473,c_835]) ).
tcf(c_338033,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| ( k1_card_1(sK204(sK47(k5_finsub_1(X0)))) = k1_card_1(sK47(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_327486,c_835]) ).
tcf(c_338034,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| ( k1_card_1(sK204(sK47(k5_finsub_1(X0)))) = k1_card_1(sK47(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_327385,c_835]) ).
tcf(c_338035,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| ( k1_card_1(sK204(sK47(k5_finsub_1(X0)))) = k1_card_1(sK47(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_327297,c_835]) ).
tcf(c_338036,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| ( k1_card_1(sK204(sK47(k5_finsub_1(X0)))) = k1_card_1(sK47(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_327251,c_835]) ).
tcf(c_338037,plain,
k1_card_1(sK204(sK47(k5_numbers))) = k1_card_1(sK47(k5_numbers)),
inference(superposition,[status(thm)],[c_327290,c_835]) ).
tcf(c_338038,plain,
! [X0: $i] :
( ( k1_card_1(sK204(sK403(X0))) = k1_card_1(sK403(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_328405,c_835]) ).
tcf(c_338039,plain,
! [X0: $i] :
( ( k1_card_1(sK204(sK29(X0))) = k1_card_1(sK29(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329965,c_835]) ).
tcf(c_338040,plain,
k1_card_1(sK204(k5_finsub_1(sK205))) = k1_card_1(k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_331218,c_835]) ).
tcf(c_338041,plain,
k1_card_1(sK204(sK47(k5_finsub_1(sK205)))) = k1_card_1(sK47(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_331282,c_835]) ).
tcf(c_338042,plain,
k1_card_1(sK204(sK53(sK205))) = k1_card_1(sK53(sK205)),
inference(superposition,[status(thm)],[c_331346,c_835]) ).
tcf(c_338043,plain,
k1_card_1(sK204(sK210(sK205))) = k1_card_1(sK210(sK205)),
inference(superposition,[status(thm)],[c_331360,c_835]) ).
tcf(c_338044,plain,
k1_card_1(sK204(sK211(sK205))) = k1_card_1(sK211(sK205)),
inference(superposition,[status(thm)],[c_331374,c_835]) ).
tcf(c_338045,plain,
k1_card_1(sK204(k5_finsub_1(sK212))) = k1_card_1(k5_finsub_1(sK212)),
inference(superposition,[status(thm)],[c_331627,c_835]) ).
tcf(c_338046,plain,
k1_card_1(sK204(sK47(k5_finsub_1(sK212)))) = k1_card_1(sK47(k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_331811,c_835]) ).
tcf(c_338047,plain,
k1_card_1(sK204(sK53(sK212))) = k1_card_1(sK53(sK212)),
inference(superposition,[status(thm)],[c_331938,c_835]) ).
tcf(c_338048,plain,
k1_card_1(sK204(sK210(sK212))) = k1_card_1(sK210(sK212)),
inference(superposition,[status(thm)],[c_331953,c_835]) ).
tcf(c_338049,plain,
k1_card_1(sK204(sK211(sK212))) = k1_card_1(sK211(sK212)),
inference(superposition,[status(thm)],[c_331968,c_835]) ).
tcf(c_338050,plain,
k1_card_1(sK204(k5_finsub_1(sK413))) = k1_card_1(k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_333131,c_835]) ).
tcf(c_338051,plain,
k1_card_1(sK204(sK47(k5_finsub_1(sK413)))) = k1_card_1(sK47(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_333643,c_835]) ).
tcf(c_338052,plain,
k1_card_1(sK204(sK53(sK413))) = k1_card_1(sK53(sK413)),
inference(superposition,[status(thm)],[c_334146,c_835]) ).
tcf(c_338053,plain,
k1_card_1(sK204(sK210(sK413))) = k1_card_1(sK210(sK413)),
inference(superposition,[status(thm)],[c_334413,c_835]) ).
tcf(c_338054,plain,
k1_card_1(sK204(sK211(sK413))) = k1_card_1(sK211(sK413)),
inference(superposition,[status(thm)],[c_334451,c_835]) ).
tcf(c_338055,plain,
k1_card_1(sK204(sK25(k5_numbers,np__0))) = k1_card_1(sK25(k5_numbers,np__0)),
inference(superposition,[status(thm)],[c_327838,c_835]) ).
tcf(c_338056,plain,
k1_card_1(sK204(sK25(k5_finsub_1(sK205),np__0))) = k1_card_1(sK25(k5_finsub_1(sK205),np__0)),
inference(superposition,[status(thm)],[c_334945,c_835]) ).
tcf(c_338057,plain,
k1_card_1(sK204(sK25(k5_finsub_1(sK212),np__0))) = k1_card_1(sK25(k5_finsub_1(sK212),np__0)),
inference(superposition,[status(thm)],[c_335493,c_835]) ).
tcf(c_338058,plain,
k1_card_1(sK204(sK25(k5_finsub_1(sK413),np__0))) = k1_card_1(sK25(k5_finsub_1(sK413),np__0)),
inference(superposition,[status(thm)],[c_337188,c_835]) ).
tcf(c_338059,plain,
k1_card_1(sK204(np__0)) = np__0,
inference(light_normalisation,[status(thm)],[c_338017,c_1300]) ).
tcf(c_338269,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| ( k4_xboole_0(sK25(k5_finsub_1(X0),X1),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_328506,c_817]) ).
tcf(c_338270,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| ( k2_xboole_0(sK25(k5_finsub_1(X0),X1),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_328506,c_513]) ).
tcf(c_338271,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| v1_membered(sK25(k5_finsub_1(X0),X1))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_328506,c_2460]) ).
tcf(c_338272,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| v1_finset_1(sK25(k5_finsub_1(X0),X1))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_328506,c_872]) ).
tcf(c_338273,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| v1_relat_1(sK25(k5_finsub_1(X0),X1))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_328506,c_70]) ).
tcf(c_338274,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| ~ r2_hidden(X0,sK25(k5_finsub_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_328506,c_69]) ).
tcf(c_338275,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X1),X2)
| r1_tarski(X0,sK25(k5_finsub_1(X1),X2))
| m1_subset_1(sK25(X0,sK25(k5_finsub_1(X1),X2)),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_328506,c_97752]) ).
tcf(c_338276,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| ( sK25(k5_finsub_1(np__0),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_328506,c_95]) ).
tcf(c_338277,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),X2)
| r1_xboole_0(sK25(k5_finsub_1(k4_xboole_0(X0,X1)),X2),X1) ),
inference(superposition,[status(thm)],[c_328506,c_2401]) ).
tcf(c_338278,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),X2)
| r1_tarski(sK25(k5_finsub_1(k4_xboole_0(X0,X1)),X2),X0) ),
inference(superposition,[status(thm)],[c_328506,c_2400]) ).
tcf(c_338279,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(k1_numbers),X0)
| v1_membered(sK25(k5_finsub_1(k1_numbers),X0)) ),
inference(superposition,[status(thm)],[c_328506,c_326348]) ).
tcf(c_338280,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(k1_numbers),X0)
| v2_membered(sK25(k5_finsub_1(k1_numbers),X0)) ),
inference(superposition,[status(thm)],[c_328506,c_326347]) ).
tcf(c_338281,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),X2)
| r1_tarski(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),X2),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),X2),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK25(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),X2)) ),
inference(superposition,[status(thm)],[c_328506,c_323864]) ).
tcf(c_338299,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| ( k2_xboole_0(X0,sK25(k5_finsub_1(X0),X1)) = X0 ) ),
inference(theory_normalisation,[status(thm)],[c_338270,c_521,c_524]) ).
tcf(c_338335,plain,
! [X0: $i,X1: $i] :
( ( k1_card_1(sK204(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_876,c_835]) ).
tcf(c_338336,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(sK412(k2_zfmisc_1(X0,X1))) = k2_zfmisc_1(X0,X1) )
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_876,c_2199]) ).
tcf(c_338337,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_876,c_859]) ).
tcf(c_338353,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xcmplx_0(k5_lattices(X0))
| ~ l1_lattices(X0)
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_910,c_1808]) ).
tcf(c_338354,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xreal_0(k5_lattices(X0))
| ~ l1_lattices(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_910,c_1807]) ).
tcf(c_338355,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xcmplx_0(k5_lattices(X0))
| ~ l1_lattices(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_910,c_1806]) ).
tcf(c_338356,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k5_lattices(X0))
| ~ l1_lattices(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_910,c_190]) ).
tcf(c_338357,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(superposition,[status(thm)],[c_910,c_188]) ).
tcf(c_338392,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xcmplx_0(k6_lattices(X0))
| ~ l2_lattices(X0)
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_981,c_1808]) ).
tcf(c_338393,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xreal_0(k6_lattices(X0))
| ~ l2_lattices(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_981,c_1807]) ).
tcf(c_338394,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xcmplx_0(k6_lattices(X0))
| ~ l2_lattices(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_981,c_1806]) ).
tcf(c_338395,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k6_lattices(X0))
| ~ l2_lattices(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_981,c_190]) ).
tcf(c_338396,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(superposition,[status(thm)],[c_981,c_188]) ).
tcf(c_338425,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK47(X0),X0)
| m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_328348,c_1062]) ).
tcf(c_338426,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK47(X0),X0)
| m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_326624,c_1062]) ).
tcf(c_338427,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_326591,c_1062]) ).
tcf(c_338429,plain,
! [X0: $i,X1: $i] : m1_relset_1(k2_zfmisc_1(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_101,c_1062]) ).
tcf(c_338430,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_281,c_1062]) ).
tcf(c_338431,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(k2_relat_1(sK89(k2_zfmisc_1(X0,X1),X2)),X0,X1)
| ( k2_zfmisc_1(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_406,c_1062]) ).
tcf(c_338432,plain,
! [X0: $i] :
( m1_relset_1(X0,k1_relat_1(X0),k2_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_430,c_1062]) ).
tcf(c_338433,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_812,c_1062]) ).
tcf(c_338434,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_819,c_1062]) ).
tcf(c_338435,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_2269,c_1062]) ).
tcf(c_338436,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_2270,c_1062]) ).
tcf(c_338437,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| m1_relset_1(sK53(k2_zfmisc_1(X0,X1)),X0,X1) ),
inference(superposition,[status(thm)],[c_326377,c_1062]) ).
tcf(c_338438,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| m1_relset_1(sK210(k2_zfmisc_1(X0,X1)),X0,X1) ),
inference(superposition,[status(thm)],[c_326378,c_1062]) ).
tcf(c_338439,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| m1_relset_1(sK211(k2_zfmisc_1(X0,X1)),X0,X1) ),
inference(superposition,[status(thm)],[c_326379,c_1062]) ).
tcf(c_338440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X0)
| m1_relset_1(sK26(k5_finsub_1(k2_zfmisc_1(X1,X2)),X3,X0),X1,X2)
| ~ r1_tarski(X3,k5_finsub_1(k2_zfmisc_1(X1,X2)))
| ~ r1_tarski(X0,k5_finsub_1(k2_zfmisc_1(X1,X2))) ),
inference(superposition,[status(thm)],[c_323884,c_1062]) ).
tcf(c_338441,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK29(k5_finsub_1(k2_zfmisc_1(X0,X1))),X0,X1),
inference(superposition,[status(thm)],[c_323947,c_1062]) ).
tcf(c_338442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k5_finsub_1(k2_zfmisc_1(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| m1_relset_1(sK25(k5_finsub_1(k2_zfmisc_1(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),X0,X1)
| ~ r1_tarski(k5_finsub_1(k2_zfmisc_1(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_327049,c_1062]) ).
tcf(c_338443,plain,
! [X0: $i,X1: $i,X2: $i] : m1_relset_1(k4_xboole_0(X0,k4_xboole_0(X0,k2_zfmisc_1(X1,X2))),X1,X2),
inference(superposition,[status(thm)],[c_324338,c_1062]) ).
tcf(c_338444,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| m1_relset_1(sK207(k2_zfmisc_1(X0,X1)),X0,X1) ),
inference(superposition,[status(thm)],[c_325276,c_1062]) ).
tcf(c_338445,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k2_zfmisc_1(X0,X1)),X2)
| m1_relset_1(sK25(k5_finsub_1(k2_zfmisc_1(X0,X1)),X2),X0,X1) ),
inference(superposition,[status(thm)],[c_328506,c_1062]) ).
tcf(c_338446,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK29(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X0,X1),
inference(superposition,[status(thm)],[c_326374,c_1062]) ).
tcf(c_338447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X0)
| m1_relset_1(sK26(k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X3,X0),X1,X2)
| ~ r1_tarski(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ r1_tarski(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(superposition,[status(thm)],[c_326381,c_1062]) ).
tcf(c_338448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3))))
| m1_relset_1(sK25(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),X0,X1)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_328021,c_1062]) ).
tcf(c_338449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| m1_relset_1(sK25(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),X0,X1)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_326382,c_1062]) ).
tcf(c_338450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| m1_relset_1(sK25(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),X0,X1)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_327861,c_1062]) ).
tcf(c_338451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X4,X3)
| r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK26(k5_finsub_1(X2),X4,X3))
| m1_relset_1(sK25(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK26(k5_finsub_1(X2),X4,X3)),X0,X1)
| ~ r1_tarski(X4,k5_finsub_1(X2))
| ~ r1_tarski(X3,k5_finsub_1(X2))
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_326385,c_1062]) ).
tcf(c_338452,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| m1_relset_1(sK28(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2),X0,X1) ),
inference(superposition,[status(thm)],[c_326593,c_1062]) ).
tcf(c_338453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(k2_zfmisc_1(X0,X1)),k2_xboole_0(X3,X2))
| m1_relset_1(sK25(k5_finsub_1(k2_zfmisc_1(X0,X1)),k2_xboole_0(X2,X3)),X0,X1) ),
inference(superposition,[status(thm)],[c_330258,c_1062]) ).
tcf(c_338454,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK47(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X0,X1),
inference(superposition,[status(thm)],[c_328444,c_1062]) ).
tcf(c_338455,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK25(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),np__0),X0,X1),
inference(superposition,[status(thm)],[c_328139,c_1062]) ).
tcf(c_338456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k4_xboole_0(X3,k4_xboole_0(X3,X2)))
| m1_relset_1(sK25(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k4_xboole_0(X3,k4_xboole_0(X3,X2))),X0,X1)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_331985,c_1062]) ).
tcf(c_338457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k2_xboole_0(X3,X2))
| m1_relset_1(sK25(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k2_xboole_0(X3,X2)),X0,X1)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_331819,c_1062]) ).
tcf(c_338458,plain,
! [X0: $i,X1: $i] :
( m1_relset_1(X0,np__0,X1)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_161,c_1062]) ).
tcf(c_338459,plain,
! [X0: $i,X1: $i] :
( m1_relset_1(X0,X1,np__0)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_162,c_1062]) ).
tcf(c_338486,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_338435,c_225]) ).
tcf(c_338569,plain,
( r1_tarski(sK412(sK205),k2_zfmisc_1(k1_relat_1(sK412(sK205)),sK205))
| ~ v1_relat_1(sK412(sK205)) ),
inference(superposition,[status(thm)],[c_334038,c_430]) ).
tcf(c_338570,plain,
! [X0: $i] :
( r1_tarski(k9_relat_1(sK412(sK205),X0),sK205)
| ~ v1_relat_1(sK412(sK205)) ),
inference(superposition,[status(thm)],[c_334038,c_2367]) ).
tcf(c_338581,plain,
( v1_xboole_0(sK205)
| ~ v1_xboole_0(sK412(sK205)) ),
inference(superposition,[status(thm)],[c_334038,c_550]) ).
tcf(c_338582,plain,
~ v1_xboole_0(sK412(sK205)),
inference(forward_subsumption_resolution,[status(thm)],[c_338581,c_840]) ).
tcf(c_338591,plain,
( r1_tarski(sK412(sK212),k2_zfmisc_1(k1_relat_1(sK412(sK212)),sK212))
| ~ v1_relat_1(sK412(sK212)) ),
inference(superposition,[status(thm)],[c_334045,c_430]) ).
tcf(c_338592,plain,
! [X0: $i] :
( r1_tarski(k9_relat_1(sK412(sK212),X0),sK212)
| ~ v1_relat_1(sK412(sK212)) ),
inference(superposition,[status(thm)],[c_334045,c_2367]) ).
tcf(c_338603,plain,
( v1_xboole_0(sK212)
| ~ v1_xboole_0(sK412(sK212)) ),
inference(superposition,[status(thm)],[c_334045,c_550]) ).
tcf(c_338604,plain,
~ v1_xboole_0(sK412(sK212)),
inference(forward_subsumption_resolution,[status(thm)],[c_338603,c_888]) ).
tcf(c_338609,plain,
( r1_tarski(sK412(sK413),k2_zfmisc_1(k1_relat_1(sK412(sK413)),sK413))
| ~ v1_relat_1(sK412(sK413)) ),
inference(superposition,[status(thm)],[c_334046,c_430]) ).
tcf(c_338610,plain,
! [X0: $i] :
( r1_tarski(k9_relat_1(sK412(sK413),X0),sK413)
| ~ v1_relat_1(sK412(sK413)) ),
inference(superposition,[status(thm)],[c_334046,c_2367]) ).
tcf(c_338621,plain,
( v1_xboole_0(sK413)
| ~ v1_xboole_0(sK412(sK413)) ),
inference(superposition,[status(thm)],[c_334046,c_550]) ).
tcf(c_338622,plain,
~ v1_xboole_0(sK412(sK413)),
inference(forward_subsumption_resolution,[status(thm)],[c_338621,c_2207]) ).
tcf(c_338630,plain,
( r1_tarski(sK412(np__0),k2_zfmisc_1(k1_relat_1(sK412(np__0)),np__0))
| ~ v1_relat_1(sK412(np__0)) ),
inference(superposition,[status(thm)],[c_334048,c_430]) ).
tcf(c_338631,plain,
! [X0: $i] :
( r1_tarski(k9_relat_1(sK412(np__0),X0),np__0)
| ~ v1_relat_1(sK412(np__0)) ),
inference(superposition,[status(thm)],[c_334048,c_2367]) ).
tcf(c_338633,plain,
( v1_xboole_0(sK412(np__0))
| ~ v1_xboole_0(np__0)
| ~ v1_relat_1(sK412(np__0)) ),
inference(superposition,[status(thm)],[c_334048,c_552]) ).
tcf(c_338643,plain,
( v1_xboole_0(sK412(np__0))
| ~ v1_relat_1(sK412(np__0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_338633,c_169]) ).
tcf(c_338653,plain,
( r1_tarski(k1_relat_1(np__0),np__0)
| ~ v1_relat_1(sK44) ),
inference(superposition,[status(thm)],[c_334220,c_2270]) ).
tcf(c_338654,plain,
( r1_tarski(np__0,sK44)
| ~ v1_relat_1(sK44) ),
inference(superposition,[status(thm)],[c_334220,c_2269]) ).
tcf(c_338656,plain,
( r1_tarski(np__0,np__0)
| ~ v1_relat_1(sK44) ),
inference(light_normalisation,[status(thm)],[c_338653,c_426]) ).
tcf(c_338657,plain,
( r1_tarski(k1_relat_1(np__0),np__0)
| ~ v1_relat_1(sK45) ),
inference(superposition,[status(thm)],[c_334221,c_2270]) ).
tcf(c_338658,plain,
( r1_tarski(np__0,sK45)
| ~ v1_relat_1(sK45) ),
inference(superposition,[status(thm)],[c_334221,c_2269]) ).
tcf(c_338660,plain,
( r1_tarski(np__0,np__0)
| ~ v1_relat_1(sK45) ),
inference(light_normalisation,[status(thm)],[c_338657,c_426]) ).
tcf(c_338661,plain,
( r1_tarski(k1_relat_1(np__0),np__0)
| ~ v1_relat_1(sK205) ),
inference(superposition,[status(thm)],[c_334228,c_2270]) ).
tcf(c_338662,plain,
( r1_tarski(np__0,sK205)
| ~ v1_relat_1(sK205) ),
inference(superposition,[status(thm)],[c_334228,c_2269]) ).
tcf(c_338664,plain,
( r1_tarski(np__0,np__0)
| ~ v1_relat_1(sK205) ),
inference(light_normalisation,[status(thm)],[c_338661,c_426]) ).
tcf(c_338665,plain,
( r1_tarski(k1_relat_1(np__0),np__0)
| ~ v1_relat_1(sK293) ),
inference(superposition,[status(thm)],[c_334234,c_2270]) ).
tcf(c_338666,plain,
( r1_tarski(np__0,sK293)
| ~ v1_relat_1(sK293) ),
inference(superposition,[status(thm)],[c_334234,c_2269]) ).
tcf(c_338668,plain,
( r1_tarski(np__0,np__0)
| ~ v1_relat_1(sK293) ),
inference(light_normalisation,[status(thm)],[c_338665,c_426]) ).
tcf(c_338674,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,np__0)
| ~ m1_relset_1(X0,np__0,X1) ),
inference(superposition,[status(thm)],[c_161,c_1063]) ).
tcf(c_338675,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,np__0)
| ~ m1_relset_1(X0,X1,np__0) ),
inference(superposition,[status(thm)],[c_162,c_1063]) ).
tcf(c_338676,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_1063,c_817]) ).
tcf(c_338677,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_1063,c_513]) ).
tcf(c_338678,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_1063,c_2460]) ).
tcf(c_338679,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_1063,c_872]) ).
tcf(c_338680,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_1063,c_70]) ).
tcf(c_338681,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_1063,c_69]) ).
tcf(c_338682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X3)
| m1_subset_1(sK25(X0,X3),X0)
| ~ m1_relset_1(X3,X1,X2)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_1063,c_97752]) ).
tcf(c_338683,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ m1_relset_1(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_1063,c_82]) ).
tcf(c_338684,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ m1_relset_1(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_1063,c_83]) ).
tcf(c_338686,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_1063,c_514]) ).
tcf(c_338687,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_1063,c_1413]) ).
tcf(c_338688,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_1063,c_1412]) ).
tcf(c_338689,plain,
! [X0: $i,X1: $i] : ~ m1_relset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X0,X1),
inference(superposition,[status(thm)],[c_1063,c_326440]) ).
tcf(c_338690,plain,
! [X0: $i,X1: $i,X2: $i] : ~ m1_relset_1(k2_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2),X0,X1),
inference(superposition,[status(thm)],[c_1063,c_326441]) ).
tcf(c_338691,plain,
! [X0: $i,X1: $i,X2: $i] : ~ m1_relset_1(k2_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2),X0,X1),
inference(superposition,[status(thm)],[c_1063,c_327177]) ).
tcf(c_338692,plain,
! [X0: $i,X1: $i,X2: $i] : ~ m1_relset_1(k2_tarski(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))),X1,X2),
inference(superposition,[status(thm)],[c_1063,c_327182]) ).
tcf(c_338693,plain,
! [X0: $i,X1: $i,X2: $i] : ~ m1_relset_1(k2_xboole_0(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))),X1,X2),
inference(superposition,[status(thm)],[c_1063,c_327403]) ).
tcf(c_338694,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_1063,c_329952]) ).
tcf(c_338711,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_338680,c_225]) ).
tcf(c_338750,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_2188,c_1073]) ).
tcf(c_338751,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_2131,c_1073]) ).
tcf(c_338752,plain,
( r2_hidden(np__0,k5_numbers)
| ~ v1_int_1(np__0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_338751,c_325133,c_325134]) ).
tcf(c_338777,plain,
( r1_tarski(k1_relat_1(np__0),np__0)
| ~ v1_relat_1(sK413) ),
inference(superposition,[status(thm)],[c_334236,c_2270]) ).
tcf(c_338778,plain,
( r1_tarski(np__0,sK413)
| ~ v1_relat_1(sK413) ),
inference(superposition,[status(thm)],[c_334236,c_2269]) ).
tcf(c_338780,plain,
( r1_tarski(np__0,np__0)
| ~ v1_relat_1(sK413) ),
inference(light_normalisation,[status(thm)],[c_338777,c_426]) ).
tcf(c_338781,plain,
( r1_tarski(k1_relat_1(np__0),np__0)
| ~ v1_relat_1(sK415) ),
inference(superposition,[status(thm)],[c_334238,c_2270]) ).
tcf(c_338782,plain,
( r1_tarski(np__0,sK415)
| ~ v1_relat_1(sK415) ),
inference(superposition,[status(thm)],[c_334238,c_2269]) ).
tcf(c_338784,plain,
( r1_tarski(np__0,np__0)
| ~ v1_relat_1(sK415) ),
inference(light_normalisation,[status(thm)],[c_338781,c_426]) ).
tcf(c_338785,plain,
( r1_tarski(np__0,k1_relat_1(sK44))
| ~ v1_relat_1(sK44) ),
inference(superposition,[status(thm)],[c_334316,c_2325]) ).
tcf(c_338786,plain,
( r1_tarski(np__0,k1_relat_1(sK45))
| ~ v1_relat_1(sK45) ),
inference(superposition,[status(thm)],[c_334317,c_2325]) ).
tcf(c_338787,plain,
( r1_tarski(np__0,k1_relat_1(sK205))
| ~ v1_relat_1(sK205) ),
inference(superposition,[status(thm)],[c_334324,c_2325]) ).
tcf(c_338788,plain,
( r1_tarski(np__0,k1_relat_1(sK293))
| ~ v1_relat_1(sK293) ),
inference(superposition,[status(thm)],[c_334330,c_2325]) ).
tcf(c_338789,plain,
( r1_tarski(np__0,k1_relat_1(sK413))
| ~ v1_relat_1(sK413) ),
inference(superposition,[status(thm)],[c_334332,c_2325]) ).
tcf(c_338790,plain,
( r1_tarski(np__0,k1_relat_1(sK415))
| ~ v1_relat_1(sK415) ),
inference(superposition,[status(thm)],[c_334334,c_2325]) ).
tcf(c_338791,plain,
( r1_tarski(np__0,k2_relat_1(sK44))
| ~ v1_relat_1(sK44) ),
inference(superposition,[status(thm)],[c_334483,c_2367]) ).
tcf(c_338792,plain,
( r1_tarski(np__0,k2_relat_1(sK45))
| ~ v1_relat_1(sK45) ),
inference(superposition,[status(thm)],[c_334484,c_2367]) ).
tcf(c_338793,plain,
( r1_tarski(np__0,k2_relat_1(sK205))
| ~ v1_relat_1(sK205) ),
inference(superposition,[status(thm)],[c_334491,c_2367]) ).
tcf(c_338794,plain,
( r1_tarski(np__0,k2_relat_1(sK293))
| ~ v1_relat_1(sK293) ),
inference(superposition,[status(thm)],[c_334497,c_2367]) ).
tcf(c_338802,plain,
! [X0: $i,X1: $i] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| ~ v2_xreal_0(k2_xcmplx_0(X0,X1))
| ~ v3_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1179,c_2171]) ).
tcf(c_338803,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(k2_xcmplx_0(X0,X1))
| v3_xreal_0(k2_xcmplx_0(X0,X1))
| v1_xboole_0(k2_xcmplx_0(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_1179,c_2168]) ).
tcf(c_338834,plain,
! [X0: $i,X1: $i] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k2_xcmplx_0(X0,X1))
| ~ v3_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1208,c_2171]) ).
tcf(c_338835,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(k2_xcmplx_0(X0,X1))
| v3_xreal_0(k2_xcmplx_0(X0,X1))
| v1_xboole_0(k2_xcmplx_0(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_1208,c_2168]) ).
tcf(c_338846,plain,
( r1_tarski(np__0,k2_relat_1(sK413))
| ~ v1_relat_1(sK413) ),
inference(superposition,[status(thm)],[c_334499,c_2367]) ).
tcf(c_338847,plain,
( r1_tarski(np__0,k2_relat_1(sK415))
| ~ v1_relat_1(sK415) ),
inference(superposition,[status(thm)],[c_334501,c_2367]) ).
tcf(c_338895,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_1262,c_2363]) ).
tcf(c_338896,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_1262,c_2321]) ).
tcf(c_338897,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_1262,c_2249]) ).
tcf(c_338898,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_1262,c_1272]) ).
tcf(c_338899,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_1262,c_1271]) ).
tcf(c_338937,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_relat_1(X0,X1) = X2 )
| ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1288,c_215]) ).
tcf(c_338938,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0)
| ~ v2_xreal_0(k5_relat_1(X0,X1))
| ~ v1_xreal_0(k5_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1288,c_2169]) ).
tcf(c_338939,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0)
| ~ v3_xreal_0(k5_relat_1(X0,X1))
| ~ v1_xreal_0(k5_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1288,c_2164]) ).
tcf(c_338940,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_relat_1(X0,X1))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1288,c_326868]) ).
tcf(c_338941,plain,
! [X0: $i,X1: $i] :
( v5_membered(k5_relat_1(X0,X1))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1288,c_325175]) ).
tcf(c_338942,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_relat_1(X0,X1))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1288,c_325174]) ).
tcf(c_338943,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(X0,X1) = np__0 )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1288,c_166]) ).
tcf(c_338944,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(k5_relat_1(X0,X1))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1288,c_93257]) ).
tcf(c_338945,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k5_relat_1(X0,X1))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1288,c_887]) ).
tcf(c_338946,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k5_relat_1(X0,X1))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1288,c_353]) ).
tcf(c_338947,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k5_relat_1(X0,X1))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1288,c_214]) ).
tcf(c_339014,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k5_relat_1(X0,X1),np__0) = np__0 )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1289,c_2363]) ).
tcf(c_339015,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k5_relat_1(X0,X1),np__0) = np__0 )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1289,c_2321]) ).
tcf(c_339016,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k5_relat_1(X0,X1),np__0) = np__0 )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1289,c_2249]) ).
tcf(c_339017,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k5_relat_1(X0,X1),np__0) = np__0 )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1289,c_1272]) ).
tcf(c_339018,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(np__0,k5_relat_1(X0,X1)) = np__0 )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1289,c_1271]) ).
tcf(c_339069,plain,
( v1_xcmplx_0(np__2)
| ~ v4_ordinal2(np__2) ),
inference(superposition,[status(thm)],[c_335148,c_332141]) ).
tcf(c_339070,plain,
( v1_xcmplx_0(np__1)
| ~ v4_ordinal2(np__2) ),
inference(superposition,[status(thm)],[c_335148,c_332140]) ).
tcf(c_339083,plain,
k4_xboole_0(k1_numbers,k1_numbers) = k4_xboole_0(k5_numbers,k1_numbers),
inference(superposition,[status(thm)],[c_336848,c_498]) ).
tcf(c_339084,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_336848,c_485]) ).
tcf(c_339087,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_336848,c_463]) ).
tcf(c_339088,plain,
! [X0: $i] :
( r1_tarski(k5_numbers,X0)
| ~ r1_tarski(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_336848,c_514]) ).
tcf(c_339089,plain,
r1_tarski(k2_zfmisc_1(k5_numbers,k1_numbers),k1_zfmisc_1(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_336848,c_483]) ).
tcf(c_339090,plain,
~ r2_hidden(k1_numbers,k1_numbers),
inference(superposition,[status(thm)],[c_336848,c_327043]) ).
tcf(c_339092,plain,
r1_tarski(k1_numbers,k2_xboole_0(k1_numbers,k5_numbers)),
inference(superposition,[status(thm)],[c_336848,c_326816]) ).
tcf(c_339098,plain,
! [X0: $i] :
( r1_xboole_0(X0,k5_numbers)
| ~ r1_xboole_0(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_336848,c_2424]) ).
tcf(c_339100,plain,
! [X0: $i] :
( r2_hidden(X0,k1_numbers)
| ~ r2_hidden(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_336848,c_528]) ).
tcf(c_339101,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(k1_numbers,k5_numbers))
| r1_tarski(sK25(k5_finsub_1(X0),k1_numbers),X0) ),
inference(superposition,[status(thm)],[c_336848,c_330258]) ).
tcf(c_339102,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(k1_numbers,k5_numbers))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k1_numbers))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(k5_numbers,k1_numbers)) ),
inference(superposition,[status(thm)],[c_336848,c_327049]) ).
tcf(c_339104,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k1_numbers)),k2_xboole_0(k1_numbers,k5_numbers)),
inference(superposition,[status(thm)],[c_336848,c_34474]) ).
tcf(c_339105,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(k5_numbers,k4_xboole_0(k5_numbers,X0)),k1_numbers),
inference(superposition,[status(thm)],[c_336848,c_502]) ).
tcf(c_339107,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k5_numbers,k1_numbers))
| r1_tarski(sK25(k1_zfmisc_1(X0),k1_numbers),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k1_numbers,k5_numbers)) ),
inference(superposition,[status(thm)],[c_336848,c_331819]) ).
tcf(c_339110,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(k5_numbers,k1_numbers))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k1_numbers))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k1_numbers,k5_numbers)) ),
inference(superposition,[status(thm)],[c_336848,c_326382]) ).
tcf(c_339111,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(k5_numbers,k1_numbers))))
| m1_subset_1(sK25(X0,k4_xboole_0(X1,k4_xboole_0(X1,k1_numbers))),X0)
| ~ r1_tarski(X0,k2_xboole_0(k1_numbers,k5_numbers)) ),
inference(superposition,[status(thm)],[c_336848,c_323865]) ).
tcf(c_339112,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(k1_numbers,k5_numbers))),k1_numbers),
inference(superposition,[status(thm)],[c_336848,c_34474]) ).
tcf(c_339113,plain,
r1_tarski(k1_numbers,k1_numbers),
inference(superposition,[status(thm)],[c_336848,c_326993]) ).
tcf(c_339114,plain,
r1_tarski(k2_xboole_0(k1_numbers,k5_numbers),k1_numbers),
inference(superposition,[status(thm)],[c_336848,c_326816]) ).
tcf(c_339116,plain,
r1_tarski(k2_xboole_0(k5_numbers,k1_numbers),k1_numbers),
inference(theory_normalisation,[status(thm)],[c_339114,c_521,c_524]) ).
tcf(c_339118,plain,
r1_tarski(k1_numbers,k2_xboole_0(k5_numbers,k1_numbers)),
inference(theory_normalisation,[status(thm)],[c_339092,c_521,c_524]) ).
tcf(c_339126,plain,
k4_xboole_0(k1_numbers,k1_numbers) = np__0,
inference(light_normalisation,[status(thm)],[c_339083,c_337563]) ).
tcf(c_339127,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(k5_numbers,k1_numbers))),k1_numbers),
inference(theory_normalisation,[status(thm)],[c_339112,c_521,c_524]) ).
tcf(c_339128,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k1_numbers)),k1_numbers),
inference(light_normalisation,[status(thm)],[c_339127,c_336848]) ).
tcf(c_339129,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k1_numbers)),k2_xboole_0(k5_numbers,k1_numbers)),
inference(theory_normalisation,[status(thm)],[c_339104,c_521,c_524]) ).
tcf(c_339131,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(k5_numbers,k1_numbers))
| r1_tarski(sK25(k5_finsub_1(X0),k1_numbers),X0) ),
inference(theory_normalisation,[status(thm)],[c_339101,c_521,c_524]) ).
tcf(c_339132,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(X0),k1_numbers)
| r1_tarski(sK25(k5_finsub_1(X0),k1_numbers),X0) ),
inference(light_normalisation,[status(thm)],[c_339131,c_336848]) ).
tcf(c_339135,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k5_numbers,k1_numbers))
| r1_tarski(sK25(k1_zfmisc_1(X0),k1_numbers),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k5_numbers,k1_numbers)) ),
inference(theory_normalisation,[status(thm)],[c_339107,c_521,c_524]) ).
tcf(c_339137,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(k5_numbers,k1_numbers))))
| m1_subset_1(sK25(X0,k4_xboole_0(X1,k4_xboole_0(X1,k1_numbers))),X0)
| ~ r1_tarski(X0,k2_xboole_0(k5_numbers,k1_numbers)) ),
inference(theory_normalisation,[status(thm)],[c_339111,c_521,c_524]) ).
tcf(c_339138,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,k1_numbers)))
| m1_subset_1(sK25(X0,k4_xboole_0(X1,k4_xboole_0(X1,k1_numbers))),X0)
| ~ r1_tarski(X0,k1_numbers) ),
inference(light_normalisation,[status(thm)],[c_339137,c_336848]) ).
tcf(c_339142,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(k5_numbers,k1_numbers))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k1_numbers))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k5_numbers,k1_numbers)) ),
inference(theory_normalisation,[status(thm)],[c_339110,c_521,c_524]) ).
tcf(c_339143,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k1_numbers)))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k1_numbers))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k1_numbers) ),
inference(light_normalisation,[status(thm)],[c_339142,c_336848]) ).
tcf(c_339149,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(k5_numbers,k1_numbers))))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k1_numbers))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(k5_numbers,k1_numbers)) ),
inference(theory_normalisation,[status(thm)],[c_339102,c_521,c_524]) ).
tcf(c_339150,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k1_numbers)))
| r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k1_numbers))),X0)
| ~ r1_tarski(k5_finsub_1(X0),k1_numbers) ),
inference(light_normalisation,[status(thm)],[c_339149,c_336848]) ).
tcf(c_339183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_relat_1(X1,X0) = X2 )
| ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1290,c_215]) ).
tcf(c_339184,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X0)
| ~ v1_relat_1(X1)
| ~ v2_xreal_0(k5_relat_1(X0,X1))
| ~ v1_xreal_0(k5_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1290,c_2169]) ).
tcf(c_339185,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X0)
| ~ v1_relat_1(X1)
| ~ v3_xreal_0(k5_relat_1(X0,X1))
| ~ v1_xreal_0(k5_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1290,c_2164]) ).
tcf(c_339186,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_relat_1(X1,X0))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1290,c_326868]) ).
tcf(c_339187,plain,
! [X0: $i,X1: $i] :
( v5_membered(k5_relat_1(X1,X0))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1290,c_325175]) ).
tcf(c_339188,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_relat_1(X1,X0))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1290,c_325174]) ).
tcf(c_339189,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(X1,X0) = np__0 )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1290,c_166]) ).
tcf(c_339190,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(k5_relat_1(X1,X0))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1290,c_93257]) ).
tcf(c_339191,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k5_relat_1(X1,X0))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1290,c_887]) ).
tcf(c_339192,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k5_relat_1(X1,X0))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1290,c_353]) ).
tcf(c_339193,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k5_relat_1(X1,X0))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1290,c_214]) ).
tcf(c_339276,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k5_relat_1(X1,X0),np__0) = np__0 )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1291,c_2363]) ).
tcf(c_339277,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k5_relat_1(X1,X0),np__0) = np__0 )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1291,c_2321]) ).
tcf(c_339278,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k5_relat_1(X1,X0),np__0) = np__0 )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1291,c_2249]) ).
tcf(c_339279,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k5_relat_1(X1,X0),np__0) = np__0 )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1291,c_1272]) ).
tcf(c_339280,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(np__0,k5_relat_1(X1,X0)) = np__0 )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1291,c_1271]) ).
tcf(c_339300,plain,
! [X0: $i] :
( ( k1_card_1(sK204(X0)) = sK204(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_834,c_1297]) ).
tcf(c_339301,plain,
! [X0: $i] :
( ( k1_card_1(sK403(X0)) = sK403(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2059,c_1297]) ).
tcf(c_339325,plain,
! [X0: $i] : k1_card_1(k2_tarski(X0,X0)) = k1_card_1(k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_919,c_1298]) ).
tcf(c_339326,plain,
! [X0: $i] : k1_card_1(k2_tarski(X0,X0)) = k1_card_1(k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_1820,c_1298]) ).
tcf(c_339337,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(X1,X1) = np__0 )
| ( k1_card_1(k2_tarski(X0,X0)) != np__0 ) ),
inference(superposition,[status(thm)],[c_1298,c_1083]) ).
tcf(c_339338,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_card_1(k2_tarski(X2,X2)),k1_card_1(X1))
| ~ r1_tarski(k2_tarski(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_1298,c_1307]) ).
tcf(c_339339,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_card_1(k1_zfmisc_1(k2_tarski(X0,X0))),k1_card_1(k2_tarski(X1,X1))),
inference(superposition,[status(thm)],[c_1298,c_326673]) ).
tcf(c_339340,plain,
! [X0: $i,X1: $i] : m1_subset_1(k1_card_1(k2_tarski(X0,X0)),k1_card_1(k1_zfmisc_1(k2_tarski(X1,X1)))),
inference(superposition,[status(thm)],[c_1298,c_325144]) ).
tcf(c_339341,plain,
! [X0: $i,X1: $i] : r2_hidden(k1_card_1(k2_tarski(X0,X0)),k1_card_1(k1_zfmisc_1(k2_tarski(X1,X1)))),
inference(superposition,[status(thm)],[c_1298,c_1301]) ).
tcf(c_339342,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_card_1(k2_tarski(X1,X1)))
| ~ v1_finset_1(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_1298,c_837]) ).
tcf(c_339343,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(X1,X1))
| ~ v1_finset_1(k1_card_1(k2_tarski(X0,X0))) ),
inference(superposition,[status(thm)],[c_1298,c_836]) ).
tcf(c_339344,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_card_1(X0),k1_card_1(k2_tarski(X2,X2)))
| ~ r1_tarski(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_1298,c_1307]) ).
tcf(c_339347,plain,
! [X0: $i] : v1_finset_1(k1_card_1(k2_tarski(X0,X0))),
inference(forward_subsumption_resolution,[status(thm)],[c_339342,c_881]) ).
tcf(c_339368,plain,
v1_finset_1(k1_card_1(k5_finsub_1(np__0))),
inference(light_normalisation,[status(thm)],[c_339347,c_339325]) ).
tcf(c_339369,plain,
k1_card_1(sK204(k1_card_1(k5_finsub_1(np__0)))) = k1_card_1(k1_card_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_339368,c_835]) ).
tcf(c_339370,plain,
k2_relat_1(sK412(k1_card_1(k5_finsub_1(np__0)))) = k1_card_1(k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_339368,c_2199]) ).
tcf(c_339371,plain,
k1_zfmisc_1(k1_card_1(k5_finsub_1(np__0))) = k5_finsub_1(k1_card_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_339368,c_859]) ).
tcf(c_339385,plain,
! [X0: $i] :
( r1_xboole_0(X0,k1_numbers)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_337563,c_2401]) ).
tcf(c_339386,plain,
! [X0: $i] :
( r1_tarski(X0,k5_numbers)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_337563,c_2400]) ).
tcf(c_339389,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(k5_numbers,np__0),k2_xboole_0(k5_numbers,X0)),
inference(superposition,[status(thm)],[c_337563,c_502]) ).
tcf(c_339390,plain,
k2_xboole_0(k5_numbers,np__0) = k5_numbers,
inference(superposition,[status(thm)],[c_337563,c_31762]) ).
tcf(c_339391,plain,
~ r2_hidden(k5_numbers,np__0),
inference(superposition,[status(thm)],[c_337563,c_326292]) ).
tcf(c_339398,plain,
r1_xboole_0(np__0,k4_xboole_0(k1_numbers,k5_numbers)),
inference(superposition,[status(thm)],[c_337563,c_2411]) ).
tcf(c_339401,plain,
r1_tarski(k4_xboole_0(k5_numbers,np__0),k1_numbers),
inference(superposition,[status(thm)],[c_337563,c_324338]) ).
tcf(c_339402,plain,
r1_xboole_0(np__0,k1_numbers),
inference(superposition,[status(thm)],[c_337563,c_2414]) ).
tcf(c_339403,plain,
r1_tarski(np__0,k5_numbers),
inference(superposition,[status(thm)],[c_337563,c_819]) ).
tcf(c_339404,plain,
r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(k5_numbers),k1_zfmisc_1(k1_numbers)))),
inference(superposition,[status(thm)],[c_337563,c_33271]) ).
tcf(c_339405,plain,
( ( np__0 = k1_numbers )
| ~ r1_tarski(k1_numbers,np__0) ),
inference(superposition,[status(thm)],[c_337563,c_816]) ).
tcf(c_339406,plain,
k2_xboole_0(k1_numbers,np__0) = k2_xboole_0(k1_numbers,k5_numbers),
inference(superposition,[status(thm)],[c_337563,c_499]) ).
tcf(c_339410,plain,
( v3_membered(k4_xboole_0(k5_numbers,np__0))
| ~ v3_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_337563,c_2469]) ).
tcf(c_339413,plain,
( v1_relat_1(k4_xboole_0(k5_numbers,np__0))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_337563,c_925]) ).
tcf(c_339415,plain,
r1_xboole_0(k1_numbers,np__0),
inference(superposition,[status(thm)],[c_337563,c_325973]) ).
tcf(c_339416,plain,
r1_xboole_0(k4_xboole_0(k1_numbers,k5_numbers),np__0),
inference(superposition,[status(thm)],[c_337563,c_2411]) ).
tcf(c_339419,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(k5_numbers,k4_xboole_0(k5_numbers,k1_numbers)))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(k5_numbers,np__0)),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k1_numbers) ),
inference(superposition,[status(thm)],[c_337563,c_331985]) ).
tcf(c_339420,plain,
v1_membered(k4_xboole_0(k5_numbers,np__0)),
inference(superposition,[status(thm)],[c_337563,c_326723]) ).
tcf(c_339421,plain,
v2_membered(k4_xboole_0(k5_numbers,np__0)),
inference(superposition,[status(thm)],[c_337563,c_326529]) ).
tcf(c_339422,plain,
k2_xboole_0(np__0,k5_numbers) = k5_numbers,
inference(theory_normalisation,[status(thm)],[c_339390,c_521,c_524]) ).
tcf(c_339431,plain,
k2_xboole_0(np__0,k1_numbers) = k2_xboole_0(k5_numbers,k1_numbers),
inference(theory_normalisation,[status(thm)],[c_339406,c_521,c_524]) ).
tcf(c_339432,plain,
k2_xboole_0(np__0,k1_numbers) = k1_numbers,
inference(light_normalisation,[status(thm)],[c_339431,c_336848]) ).
tcf(c_339435,plain,
r1_tarski(k5_finsub_1(np__0),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(k5_numbers),k1_zfmisc_1(k1_numbers)))),
inference(light_normalisation,[status(thm)],[c_339404,c_30123]) ).
tcf(c_339436,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(k5_numbers,np__0))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(k5_numbers,np__0)),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k1_numbers) ),
inference(light_normalisation,[status(thm)],[c_339419,c_337563]) ).
tcf(c_339454,plain,
sK204(np__0) = np__0,
inference(superposition,[status(thm)],[c_338059,c_1083]) ).
tcf(c_339455,plain,
! [X0: $i] :
( r1_tarski(np__0,k1_card_1(X0))
| ~ r1_tarski(sK204(np__0),X0) ),
inference(superposition,[status(thm)],[c_338059,c_1307]) ).
tcf(c_339456,plain,
~ r2_hidden(k1_card_1(k1_zfmisc_1(sK204(np__0))),np__0),
inference(superposition,[status(thm)],[c_338059,c_326673]) ).
tcf(c_339457,plain,
m1_subset_1(np__0,k1_card_1(k1_zfmisc_1(sK204(np__0)))),
inference(superposition,[status(thm)],[c_338059,c_325144]) ).
tcf(c_339458,plain,
r2_hidden(np__0,k1_card_1(k1_zfmisc_1(sK204(np__0)))),
inference(superposition,[status(thm)],[c_338059,c_1301]) ).
tcf(c_339460,plain,
( v1_finset_1(sK204(np__0))
| ~ v1_finset_1(np__0) ),
inference(superposition,[status(thm)],[c_338059,c_836]) ).
tcf(c_339461,plain,
! [X0: $i] :
( r1_tarski(k1_card_1(X0),np__0)
| ~ r1_tarski(X0,sK204(np__0)) ),
inference(superposition,[status(thm)],[c_338059,c_1307]) ).
tcf(c_339462,plain,
v1_finset_1(sK204(np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339460,c_324073]) ).
tcf(c_339468,plain,
( m2_subset_1(np__0,k1_numbers,k5_numbers)
| ~ v1_finset_1(np__0) ),
inference(superposition,[status(thm)],[c_339454,c_834]) ).
tcf(c_339469,plain,
m2_subset_1(np__0,k1_numbers,k5_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_339468,c_324073]) ).
tcf(c_339471,plain,
r2_wellord2(k2_finseq_1(np__0),np__0),
inference(superposition,[status(thm)],[c_339469,c_2061]) ).
tcf(c_339473,plain,
r2_wellord2(np__0,np__0),
inference(light_normalisation,[status(thm)],[c_339471,c_1819]) ).
tcf(c_339482,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK272(X0,X1))
| m1_subset_1(sK47(k1_card_1(X0)),k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_328348,c_1303]) ).
tcf(c_339483,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK272(X0,X1))
| r2_hidden(sK47(k1_card_1(X0)),k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_326624,c_1303]) ).
tcf(c_339484,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK272(X0,X1))
| ~ v1_xboole_0(k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_326591,c_1303]) ).
tcf(c_339485,plain,
! [X0: $i] : v1_relat_1(sK272(X0,X0)),
inference(superposition,[status(thm)],[c_101,c_1303]) ).
tcf(c_339486,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK272(X0,X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1307,c_1303]) ).
tcf(c_339487,plain,
! [X0: $i] :
( v1_relat_1(sK272(np__0,X0))
| ~ r1_tarski(np__0,k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_1300,c_1303]) ).
tcf(c_339488,plain,
! [X0: $i] :
( v1_relat_1(sK272(X0,np__0))
| ~ r1_tarski(k1_card_1(X0),np__0) ),
inference(superposition,[status(thm)],[c_1300,c_1303]) ).
tcf(c_339495,plain,
! [X0: $i] : v1_relat_1(sK272(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339487,c_96]) ).
tcf(c_339505,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK272(X0,X1))
| m1_subset_1(sK47(k1_card_1(X0)),k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_328348,c_1304]) ).
tcf(c_339506,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK272(X0,X1))
| r2_hidden(sK47(k1_card_1(X0)),k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_326624,c_1304]) ).
tcf(c_339507,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK272(X0,X1))
| ~ v1_xboole_0(k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_326591,c_1304]) ).
tcf(c_339508,plain,
! [X0: $i] : v1_funct_1(sK272(X0,X0)),
inference(superposition,[status(thm)],[c_101,c_1304]) ).
tcf(c_339509,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK272(X0,X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1307,c_1304]) ).
tcf(c_339510,plain,
! [X0: $i] :
( v1_funct_1(sK272(np__0,X0))
| ~ r1_tarski(np__0,k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_1300,c_1304]) ).
tcf(c_339511,plain,
! [X0: $i] :
( v1_funct_1(sK272(X0,np__0))
| ~ r1_tarski(k1_card_1(X0),np__0) ),
inference(superposition,[status(thm)],[c_1300,c_1304]) ).
tcf(c_339518,plain,
! [X0: $i] : v1_funct_1(sK272(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339510,c_96]) ).
tcf(c_339535,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK273(X0,X1))
| m1_subset_1(sK47(k1_card_1(X0)),k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_328348,c_1309]) ).
tcf(c_339536,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK273(X0,X1))
| r2_hidden(sK47(k1_card_1(X0)),k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_326624,c_1309]) ).
tcf(c_339537,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK273(X0,X1))
| ~ v1_xboole_0(k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_326591,c_1309]) ).
tcf(c_339538,plain,
! [X0: $i] : v1_relat_1(sK273(X0,X0)),
inference(superposition,[status(thm)],[c_101,c_1309]) ).
tcf(c_339539,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK273(X0,X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1307,c_1309]) ).
tcf(c_339540,plain,
! [X0: $i] :
( v1_relat_1(sK273(np__0,X0))
| ~ r1_tarski(np__0,k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_1300,c_1309]) ).
tcf(c_339541,plain,
! [X0: $i] :
( v1_relat_1(sK273(X0,np__0))
| ~ r1_tarski(k1_card_1(X0),np__0) ),
inference(superposition,[status(thm)],[c_1300,c_1309]) ).
tcf(c_339548,plain,
! [X0: $i] : v1_relat_1(sK273(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339540,c_96]) ).
tcf(c_339561,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK273(X0,X1))
| m1_subset_1(sK47(k1_card_1(X0)),k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_328348,c_1310]) ).
tcf(c_339562,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK273(X0,X1))
| r2_hidden(sK47(k1_card_1(X0)),k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_326624,c_1310]) ).
tcf(c_339563,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK273(X0,X1))
| ~ v1_xboole_0(k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_326591,c_1310]) ).
tcf(c_339564,plain,
! [X0: $i] : v1_funct_1(sK273(X0,X0)),
inference(superposition,[status(thm)],[c_101,c_1310]) ).
tcf(c_339565,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK273(X0,X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1307,c_1310]) ).
tcf(c_339566,plain,
! [X0: $i] :
( v1_funct_1(sK273(np__0,X0))
| ~ r1_tarski(np__0,k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_1300,c_1310]) ).
tcf(c_339567,plain,
! [X0: $i] :
( v1_funct_1(sK273(X0,np__0))
| ~ r1_tarski(k1_card_1(X0),np__0) ),
inference(superposition,[status(thm)],[c_1300,c_1310]) ).
tcf(c_339574,plain,
! [X0: $i] : v1_funct_1(sK273(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339566,c_96]) ).
tcf(c_339590,plain,
! [X0: $i] : k9_relat_1(sK272(X0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_339485,c_2363]) ).
tcf(c_339591,plain,
! [X0: $i] : k10_relat_1(sK272(X0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_339485,c_2321]) ).
tcf(c_339592,plain,
! [X0: $i] : k7_relat_1(sK272(X0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_339485,c_2249]) ).
tcf(c_339593,plain,
! [X0: $i] : k5_relat_1(sK272(X0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_339485,c_1272]) ).
tcf(c_339594,plain,
! [X0: $i] : k5_relat_1(np__0,sK272(X0,X0)) = np__0,
inference(superposition,[status(thm)],[c_339485,c_1271]) ).
tcf(c_339598,plain,
! [X0: $i] : k9_relat_1(sK272(np__0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_339495,c_2363]) ).
tcf(c_339599,plain,
! [X0: $i] : k10_relat_1(sK272(np__0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_339495,c_2321]) ).
tcf(c_339600,plain,
! [X0: $i] : k7_relat_1(sK272(np__0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_339495,c_2249]) ).
tcf(c_339601,plain,
! [X0: $i] : k5_relat_1(sK272(np__0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_339495,c_1272]) ).
tcf(c_339602,plain,
! [X0: $i] : k5_relat_1(np__0,sK272(np__0,X0)) = np__0,
inference(superposition,[status(thm)],[c_339495,c_1271]) ).
tcf(c_339610,plain,
! [X0: $i] :
( sP8(sK272(X0,X0))
| ~ v1_relat_1(sK272(X0,X0)) ),
inference(superposition,[status(thm)],[c_339508,c_1234]) ).
tcf(c_339611,plain,
! [X0: $i] : sP8(sK272(X0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339610,c_339485]) ).
tcf(c_339612,plain,
! [X0: $i] :
( sP8(sK272(np__0,X0))
| ~ v1_relat_1(sK272(np__0,X0)) ),
inference(superposition,[status(thm)],[c_339518,c_1234]) ).
tcf(c_339613,plain,
! [X0: $i] : sP8(sK272(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339612,c_339495]) ).
tcf(c_339614,plain,
! [X0: $i] : k9_relat_1(sK273(X0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_339538,c_2363]) ).
tcf(c_339615,plain,
! [X0: $i] : k10_relat_1(sK273(X0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_339538,c_2321]) ).
tcf(c_339616,plain,
! [X0: $i] : k7_relat_1(sK273(X0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_339538,c_2249]) ).
tcf(c_339617,plain,
! [X0: $i] : k5_relat_1(sK273(X0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_339538,c_1272]) ).
tcf(c_339618,plain,
! [X0: $i] : k5_relat_1(np__0,sK273(X0,X0)) = np__0,
inference(superposition,[status(thm)],[c_339538,c_1271]) ).
tcf(c_339619,plain,
! [X0: $i] : k9_relat_1(sK273(np__0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_339548,c_2363]) ).
tcf(c_339620,plain,
! [X0: $i] : k10_relat_1(sK273(np__0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_339548,c_2321]) ).
tcf(c_339621,plain,
! [X0: $i] : k7_relat_1(sK273(np__0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_339548,c_2249]) ).
tcf(c_339622,plain,
! [X0: $i] : k5_relat_1(sK273(np__0,X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_339548,c_1272]) ).
tcf(c_339623,plain,
! [X0: $i] : k5_relat_1(np__0,sK273(np__0,X0)) = np__0,
inference(superposition,[status(thm)],[c_339548,c_1271]) ).
tcf(c_339627,plain,
! [X0: $i] :
( sP8(sK273(X0,X0))
| ~ v1_relat_1(sK273(X0,X0)) ),
inference(superposition,[status(thm)],[c_339564,c_1234]) ).
tcf(c_339628,plain,
! [X0: $i] : sP8(sK273(X0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339627,c_339538]) ).
tcf(c_339632,plain,
! [X0: $i] :
( sP8(sK273(np__0,X0))
| ~ v1_relat_1(sK273(np__0,X0)) ),
inference(superposition,[status(thm)],[c_339574,c_1234]) ).
tcf(c_339633,plain,
! [X0: $i] : sP8(sK273(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339632,c_339548]) ).
tcf(c_339638,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(sK273(X0,X1))
| m1_subset_1(sK47(k1_card_1(X0)),k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_328348,c_1311]) ).
tcf(c_339639,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(sK273(X0,X1))
| r2_hidden(sK47(k1_card_1(X0)),k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_326624,c_1311]) ).
tcf(c_339640,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(sK273(X0,X1))
| ~ v1_xboole_0(k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_326591,c_1311]) ).
tcf(c_339641,plain,
! [X0: $i] : v2_funct_1(sK273(X0,X0)),
inference(superposition,[status(thm)],[c_101,c_1311]) ).
tcf(c_339642,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(sK273(X0,X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1307,c_1311]) ).
tcf(c_339643,plain,
! [X0: $i] :
( v2_funct_1(sK273(np__0,X0))
| ~ r1_tarski(np__0,k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_1300,c_1311]) ).
tcf(c_339644,plain,
! [X0: $i] :
( v2_funct_1(sK273(X0,np__0))
| ~ r1_tarski(k1_card_1(X0),np__0) ),
inference(superposition,[status(thm)],[c_1300,c_1311]) ).
tcf(c_339651,plain,
! [X0: $i] : v2_funct_1(sK273(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339643,c_96]) ).
tcf(c_339676,plain,
! [X0: $i] :
( v2_funct_1(sK42(X0,np__0))
| ~ v1_funct_1(sK42(X0,np__0)) ),
inference(superposition,[status(thm)],[c_170,c_1340]) ).
tcf(c_339677,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_finseq_1(X0,np__0) ),
inference(superposition,[status(thm)],[c_2194,c_1340]) ).
tcf(c_339678,plain,
! [X0: $i] :
( v2_funct_1(sK237(X0,np__0))
| ~ v1_funct_1(sK237(X0,np__0)) ),
inference(superposition,[status(thm)],[c_331330,c_1340]) ).
tcf(c_339679,plain,
! [X0: $i] :
( v2_funct_1(sK238(X0,np__0))
| ~ v1_funct_1(sK238(X0,np__0)) ),
inference(superposition,[status(thm)],[c_331331,c_1340]) ).
tcf(c_339680,plain,
! [X0: $i] :
( v2_funct_1(sK239(X0,np__0))
| ~ v1_funct_1(sK239(X0,np__0)) ),
inference(superposition,[status(thm)],[c_331332,c_1340]) ).
tcf(c_339681,plain,
( v2_funct_1(sK414(np__0))
| ~ v1_funct_1(sK414(np__0)) ),
inference(superposition,[status(thm)],[c_331333,c_1340]) ).
tcf(c_339682,plain,
v2_funct_1(sK414(np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339681,c_2214]) ).
tcf(c_339685,plain,
! [X0: $i] : v2_funct_1(sK238(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339679,c_1058]) ).
tcf(c_339686,plain,
! [X0: $i] : v2_funct_1(sK237(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339678,c_1054]) ).
tcf(c_339712,plain,
! [X0: $i] :
( v2_funct_1(sK42(np__0,X0))
| ~ v1_funct_1(sK42(np__0,X0)) ),
inference(superposition,[status(thm)],[c_170,c_1341]) ).
tcf(c_339713,plain,
! [X0: $i] :
( v2_funct_1(sK237(np__0,X0))
| ~ v1_funct_1(sK237(np__0,X0)) ),
inference(superposition,[status(thm)],[c_331330,c_1341]) ).
tcf(c_339714,plain,
! [X0: $i] :
( v2_funct_1(sK238(np__0,X0))
| ~ v1_funct_1(sK238(np__0,X0)) ),
inference(superposition,[status(thm)],[c_331331,c_1341]) ).
tcf(c_339715,plain,
! [X0: $i] :
( v2_funct_1(sK239(np__0,X0))
| ~ v1_funct_1(sK239(np__0,X0)) ),
inference(superposition,[status(thm)],[c_331332,c_1341]) ).
tcf(c_339718,plain,
! [X0: $i] : v2_funct_1(sK238(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339714,c_1058]) ).
tcf(c_339719,plain,
! [X0: $i] : v2_funct_1(sK237(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339713,c_1054]) ).
tcf(c_339730,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X1,X0))
| ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0) ),
inference(superposition,[status(thm)],[c_1429,c_1371]) ).
tcf(c_339732,plain,
( v1_membered(k2_finseq_1(np__2))
| ~ v1_xcmplx_0(np__2)
| ~ v1_xcmplx_0(np__1) ),
inference(superposition,[status(thm)],[c_1821,c_1371]) ).
tcf(c_339752,plain,
( sP7(sK414(np__0))
| ~ sP8(sK414(np__0)) ),
inference(superposition,[status(thm)],[c_339682,c_1223]) ).
tcf(c_339753,plain,
sP7(sK414(np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339752,c_327658]) ).
tcf(c_339755,plain,
! [X0: $i] :
( sP7(sK273(X0,X0))
| ~ sP8(sK273(X0,X0)) ),
inference(superposition,[status(thm)],[c_339641,c_1223]) ).
tcf(c_339756,plain,
! [X0: $i] : sP7(sK273(X0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339755,c_339628]) ).
tcf(c_339758,plain,
! [X0: $i] :
( sP7(sK273(np__0,X0))
| ~ sP8(sK273(np__0,X0)) ),
inference(superposition,[status(thm)],[c_339651,c_1223]) ).
tcf(c_339759,plain,
! [X0: $i] : sP7(sK273(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339758,c_339633]) ).
tcf(c_339760,plain,
! [X0: $i] :
( sP7(sK238(X0,np__0))
| ~ sP8(sK238(X0,np__0)) ),
inference(superposition,[status(thm)],[c_339685,c_1223]) ).
tcf(c_339761,plain,
! [X0: $i] : sP7(sK238(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339760,c_327665]) ).
tcf(c_339762,plain,
! [X0: $i] :
( sP7(sK237(X0,np__0))
| ~ sP8(sK237(X0,np__0)) ),
inference(superposition,[status(thm)],[c_339686,c_1223]) ).
tcf(c_339763,plain,
! [X0: $i] : sP7(sK237(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339762,c_327666]) ).
tcf(c_339764,plain,
! [X0: $i] :
( sP7(sK238(np__0,X0))
| ~ sP8(sK238(np__0,X0)) ),
inference(superposition,[status(thm)],[c_339718,c_1223]) ).
tcf(c_339765,plain,
! [X0: $i] : sP7(sK238(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339764,c_327665]) ).
tcf(c_339766,plain,
! [X0: $i] :
( sP7(sK237(np__0,X0))
| ~ sP8(sK237(np__0,X0)) ),
inference(superposition,[status(thm)],[c_339719,c_1223]) ).
tcf(c_339767,plain,
! [X0: $i] : sP7(sK237(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339766,c_327666]) ).
tcf(c_339804,plain,
k4_xboole_0(k5_finsub_1(np__0),k5_finsub_1(np__0)) = np__0,
inference(superposition,[status(thm)],[c_919,c_1382]) ).
tcf(c_339806,plain,
k4_xboole_0(k2_finseq_1(np__1),k2_finseq_1(np__1)) = np__0,
inference(superposition,[status(thm)],[c_1820,c_1382]) ).
tcf(c_339811,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k2_tarski(X1,X2))
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_1382,c_2401]) ).
tcf(c_339812,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_tarski(X1,X1))
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_1382,c_2400]) ).
tcf(c_339815,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(k2_tarski(X0,X0),np__0),k2_xboole_0(k2_tarski(X0,X0),X1)),
inference(superposition,[status(thm)],[c_1382,c_502]) ).
tcf(c_339816,plain,
! [X0: $i] : k2_xboole_0(k2_tarski(X0,X0),np__0) = k2_tarski(X0,X0),
inference(superposition,[status(thm)],[c_1382,c_31762]) ).
tcf(c_339817,plain,
! [X0: $i] : ~ r2_hidden(k2_tarski(X0,X0),np__0),
inference(superposition,[status(thm)],[c_1382,c_326292]) ).
tcf(c_339824,plain,
! [X0: $i,X1: $i] : r1_xboole_0(np__0,k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))),
inference(superposition,[status(thm)],[c_1382,c_2411]) ).
tcf(c_339827,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(k2_tarski(X0,X0),np__0),k2_tarski(X1,X0)),
inference(superposition,[status(thm)],[c_1382,c_324338]) ).
tcf(c_339828,plain,
! [X0: $i,X1: $i] : r1_xboole_0(np__0,k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_1382,c_2414]) ).
tcf(c_339829,plain,
! [X0: $i] : r1_tarski(np__0,k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_1382,c_819]) ).
tcf(c_339830,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(k2_tarski(X0,X0)),k1_zfmisc_1(k2_tarski(X1,X0))))),
inference(superposition,[status(thm)],[c_1382,c_33271]) ).
tcf(c_339831,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(X0,X1) = np__0 )
| ~ r1_tarski(k2_tarski(X0,X1),np__0) ),
inference(superposition,[status(thm)],[c_1382,c_816]) ).
tcf(c_339832,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)) = k2_xboole_0(k2_tarski(X0,X1),np__0),
inference(superposition,[status(thm)],[c_1382,c_499]) ).
tcf(c_339833,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(k2_tarski(X1,X1),np__0))
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1382,c_2477]) ).
tcf(c_339834,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(k2_tarski(X1,X1),np__0))
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1382,c_2474]) ).
tcf(c_339835,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(k2_tarski(X1,X1),np__0))
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1382,c_2473]) ).
tcf(c_339836,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(k2_tarski(X1,X1),np__0))
| ~ v3_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1382,c_2469]) ).
tcf(c_339837,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(k2_tarski(X1,X1),np__0))
| ~ v3_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1382,c_2468]) ).
tcf(c_339838,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(k2_tarski(X1,X1),np__0))
| ~ v3_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1382,c_2467]) ).
tcf(c_339839,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(k2_tarski(X1,X1),np__0))
| ~ v1_relat_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1382,c_925]) ).
tcf(c_339840,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(k2_tarski(X1,X1),np__0))
| ~ v1_finset_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1382,c_878]) ).
tcf(c_339841,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k2_tarski(X0,X1),np__0),
inference(superposition,[status(thm)],[c_1382,c_325973]) ).
tcf(c_339842,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),np__0),
inference(superposition,[status(thm)],[c_1382,c_2411]) ).
tcf(c_339843,plain,
! [X0: $i,X1: $i] :
( r1_tarski(np__0,X1)
| ~ r1_tarski(k2_tarski(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_1382,c_812]) ).
tcf(c_339845,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(k2_tarski(X2,X2),np__0)),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(k2_tarski(X2,X2),k4_xboole_0(k2_tarski(X2,X2),k2_tarski(X1,X2))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_tarski(X1,X2)) ),
inference(superposition,[status(thm)],[c_1382,c_331985]) ).
tcf(c_339850,plain,
! [X0: $i] : k2_xboole_0(np__0,k2_tarski(X0,X0)) = k2_tarski(X0,X0),
inference(theory_normalisation,[status(thm)],[c_339816,c_521,c_524]) ).
tcf(c_339851,plain,
! [X0: $i] : v1_finset_1(k4_xboole_0(k2_tarski(X0,X0),np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_339840,c_881]) ).
tcf(c_339868,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)) = k2_xboole_0(np__0,k2_tarski(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_339832,c_521,c_524]) ).
tcf(c_339869,plain,
! [X0: $i,X1: $i] : r1_tarski(k5_finsub_1(np__0),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(k2_tarski(X0,X0)),k1_zfmisc_1(k2_tarski(X1,X0))))),
inference(light_normalisation,[status(thm)],[c_339830,c_30123]) ).
tcf(c_339890,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK47(k2_tarski(X0,X2)),k2_tarski(X0,X2))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_328923,c_1401]) ).
tcf(c_339893,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_2407,c_1401]) ).
tcf(c_339894,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_2413,c_1401]) ).
tcf(c_339897,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(X0,k4_xboole_0(X1,k2_tarski(X0,X2))),
inference(superposition,[status(thm)],[c_325973,c_1401]) ).
tcf(c_339899,plain,
! [X0: $i] :
( ~ r2_hidden(np__0,X0)
| ~ r1_xboole_0(k5_finsub_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_919,c_1401]) ).
tcf(c_339900,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X1,X2)
| ~ r1_xboole_0(k2_tarski(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1429,c_1401]) ).
tcf(c_339901,plain,
! [X0: $i] :
( ~ r2_hidden(np__1,X0)
| ~ r1_xboole_0(k2_finseq_1(np__1),X0) ),
inference(superposition,[status(thm)],[c_1820,c_1401]) ).
tcf(c_339902,plain,
! [X0: $i] :
( ~ r2_hidden(np__1,X0)
| ~ r1_xboole_0(k2_finseq_1(np__2),X0) ),
inference(superposition,[status(thm)],[c_1821,c_1401]) ).
tcf(c_339923,plain,
k4_xboole_0(k2_tarski(np__1,np__1),k2_finseq_1(np__2)) = np__0,
inference(superposition,[status(thm)],[c_1821,c_1422]) ).
tcf(c_339939,plain,
! [X0: $i,X1: $i] : r1_xboole_0(np__0,k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_1422,c_2411]) ).
tcf(c_339942,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(k2_tarski(X0,X0),np__0),k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_1422,c_324338]) ).
tcf(c_339945,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(k2_tarski(X0,X0)),k1_zfmisc_1(k2_tarski(X0,X1))))),
inference(superposition,[status(thm)],[c_1422,c_33271]) ).
tcf(c_339947,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_tarski(X0,X1),k2_tarski(X0,X0)) = k2_xboole_0(k2_tarski(X0,X1),np__0),
inference(superposition,[status(thm)],[c_1422,c_499]) ).
tcf(c_339948,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(k2_tarski(X0,X0),np__0))
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1422,c_2477]) ).
tcf(c_339949,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(k2_tarski(X0,X0),np__0))
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1422,c_2474]) ).
tcf(c_339950,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(k2_tarski(X0,X0),np__0))
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1422,c_2473]) ).
tcf(c_339951,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(k2_tarski(X0,X0),np__0))
| ~ v3_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1422,c_2469]) ).
tcf(c_339952,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(k2_tarski(X0,X0),np__0))
| ~ v3_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1422,c_2468]) ).
tcf(c_339953,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(k2_tarski(X0,X0),np__0))
| ~ v3_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1422,c_2467]) ).
tcf(c_339954,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(k2_tarski(X0,X0),np__0))
| ~ v1_relat_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1422,c_925]) ).
tcf(c_339957,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X0,X0)),np__0),
inference(superposition,[status(thm)],[c_1422,c_2411]) ).
tcf(c_339960,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(k2_tarski(X1,X1),np__0)),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(k2_tarski(X1,X1),k4_xboole_0(k2_tarski(X1,X1),k2_tarski(X1,X2))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_tarski(X1,X2)) ),
inference(superposition,[status(thm)],[c_1422,c_331985]) ).
tcf(c_339977,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_tarski(X0,X1),k2_tarski(X0,X0)) = k2_xboole_0(np__0,k2_tarski(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_339947,c_521,c_524]) ).
tcf(c_339978,plain,
! [X0: $i,X1: $i] : r1_tarski(k5_finsub_1(np__0),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(k2_tarski(X0,X0)),k5_finsub_1(k2_tarski(X0,X1))))),
inference(light_normalisation,[status(thm)],[c_339945,c_30123,c_330898]) ).
tcf(c_340016,plain,
( v4_lattices(sK23)
| v3_struct_0(sK23)
| ~ l3_lattices(sK23) ),
inference(superposition,[status(thm)],[c_53,c_1605]) ).
tcf(c_340022,plain,
v4_lattices(sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_340016,c_52,c_56]) ).
tcf(c_340033,plain,
! [X0: $i] : m1_relset_1(np__0,np__0,X0),
inference(superposition,[status(thm)],[c_161,c_338429]) ).
tcf(c_340034,plain,
! [X0: $i] : m1_relset_1(np__0,X0,np__0),
inference(superposition,[status(thm)],[c_162,c_338429]) ).
tcf(c_340035,plain,
! [X0: $i,X1: $i] : m2_relset_1(k2_zfmisc_1(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_338429,c_1059]) ).
tcf(c_340040,plain,
( v4_ordinal2(np__0)
| ~ v5_membered(k5_numbers)
| ~ v1_int_1(np__0) ),
inference(superposition,[status(thm)],[c_338752,c_2042]) ).
tcf(c_340042,plain,
( ~ v1_int_1(np__0)
| ~ r2_hidden(k5_numbers,np__0) ),
inference(superposition,[status(thm)],[c_338752,c_196]) ).
tcf(c_340043,plain,
( r2_hidden(sK47(k5_numbers),k5_numbers)
| ~ v1_int_1(np__0) ),
inference(superposition,[status(thm)],[c_338752,c_192]) ).
tcf(c_340044,plain,
( ~ v1_int_1(np__0)
| ~ v1_xboole_0(k5_numbers) ),
inference(superposition,[status(thm)],[c_338752,c_191]) ).
tcf(c_340045,plain,
( m1_subset_1(np__0,k5_numbers)
| ~ v1_int_1(np__0) ),
inference(superposition,[status(thm)],[c_338752,c_186]) ).
tcf(c_340052,plain,
( v4_ordinal2(np__0)
| ~ v1_int_1(np__0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_340040,c_325817]) ).
tcf(c_340074,plain,
! [X0: $i] : v1_finset_1(k2_tarski(X0,X0)),
inference(demodulation,[status(thm)],[c_339851,c_825]) ).
tcf(c_340075,plain,
! [X0: $i] : m2_relset_1(np__0,np__0,X0),
inference(superposition,[status(thm)],[c_161,c_340035]) ).
tcf(c_340076,plain,
! [X0: $i] : m2_relset_1(np__0,X0,np__0),
inference(superposition,[status(thm)],[c_162,c_340035]) ).
tcf(c_340078,plain,
! [X0: $i] :
( v2_funct_1(k2_zfmisc_1(np__0,X0))
| ~ v1_funct_1(k2_zfmisc_1(np__0,X0)) ),
inference(superposition,[status(thm)],[c_340035,c_1341]) ).
tcf(c_340079,plain,
! [X0: $i] :
( v2_funct_1(k2_zfmisc_1(X0,np__0))
| ~ v1_funct_1(k2_zfmisc_1(X0,np__0)) ),
inference(superposition,[status(thm)],[c_340035,c_1340]) ).
tcf(c_340080,plain,
! [X0: $i] : v8_relat_2(sK324(X0,k2_zfmisc_1(X0,X0))),
inference(superposition,[status(thm)],[c_340035,c_1612]) ).
tcf(c_340081,plain,
! [X0: $i] : v3_relat_2(sK324(X0,k2_zfmisc_1(X0,X0))),
inference(superposition,[status(thm)],[c_340035,c_1611]) ).
tcf(c_340082,plain,
( v2_funct_1(np__0)
| ~ v1_funct_1(np__0) ),
inference(light_normalisation,[status(thm)],[c_340079,c_162]) ).
tcf(c_340084,plain,
~ v1_xboole_0(k5_numbers),
inference(global_subsumption_just,[status(thm)],[c_340044,c_169,c_229445,c_240590]) ).
tcf(c_340110,plain,
( v5_lattices(sK23)
| v3_struct_0(sK23)
| ~ l3_lattices(sK23) ),
inference(superposition,[status(thm)],[c_53,c_1606]) ).
tcf(c_340116,plain,
v5_lattices(sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_340110,c_52,c_56]) ).
tcf(c_340133,plain,
( v6_lattices(sK23)
| v3_struct_0(sK23)
| ~ l3_lattices(sK23) ),
inference(superposition,[status(thm)],[c_53,c_1607]) ).
tcf(c_340139,plain,
v6_lattices(sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_340133,c_52,c_56]) ).
tcf(c_340156,plain,
( v7_lattices(sK23)
| v3_struct_0(sK23)
| ~ l3_lattices(sK23) ),
inference(superposition,[status(thm)],[c_53,c_1608]) ).
tcf(c_340162,plain,
v7_lattices(sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_340156,c_52,c_56]) ).
tcf(c_340185,plain,
( v8_lattices(sK23)
| v3_struct_0(sK23)
| ~ l3_lattices(sK23) ),
inference(superposition,[status(thm)],[c_53,c_1609]) ).
tcf(c_340191,plain,
v8_lattices(sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_340185,c_52,c_56]) ).
tcf(c_340206,plain,
v8_relat_2(sK324(np__0,np__0)),
inference(superposition,[status(thm)],[c_161,c_340080]) ).
tcf(c_340208,plain,
v3_relat_2(sK324(np__0,np__0)),
inference(superposition,[status(thm)],[c_161,c_340081]) ).
tcf(c_340218,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X2,X1)
| r2_hidden(sK47(k2_xboole_0(X0,X1)),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328946,c_2425]) ).
tcf(c_340219,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X2,X0)
| r2_hidden(sK47(k2_xboole_0(X0,X1)),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328946,c_2424]) ).
tcf(c_340223,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(sK47(X0))
| r1_xboole_0(X1,X0)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_328946,c_2042]) ).
tcf(c_340224,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(sK47(X0))
| r1_xboole_0(X1,X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_328946,c_1804]) ).
tcf(c_340225,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| ~ r2_hidden(X0,sK47(X0)) ),
inference(superposition,[status(thm)],[c_328946,c_196]) ).
tcf(c_340228,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| m1_subset_1(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_328946,c_186]) ).
tcf(c_340232,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X2,k4_xboole_0(X0,X1))
| ~ r2_hidden(sK47(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_328946,c_831]) ).
tcf(c_340233,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X2,k4_xboole_0(X0,X1))
| r2_hidden(sK47(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_328946,c_830]) ).
tcf(c_340269,plain,
! [X0: $i] :
( r1_xboole_0(X0,k1_numbers)
| ~ v2_xreal_0(sK439(X0,k1_numbers))
| ~ v3_xreal_0(sK439(X0,k1_numbers)) ),
inference(superposition,[status(thm)],[c_328951,c_2171]) ).
tcf(c_340270,plain,
! [X0: $i] :
( r1_xboole_0(X0,k1_numbers)
| v2_xreal_0(sK439(X0,k1_numbers))
| v3_xreal_0(sK439(X0,k1_numbers))
| v1_xboole_0(sK439(X0,k1_numbers)) ),
inference(superposition,[status(thm)],[c_328951,c_2168]) ).
tcf(c_340271,plain,
! [X0: $i] :
( r1_xboole_0(X0,k1_numbers)
| v1_xcmplx_0(sK439(X0,k1_numbers)) ),
inference(superposition,[status(thm)],[c_328951,c_1811]) ).
tcf(c_340286,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_498,c_328975]) ).
tcf(c_340293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,X2) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_328975,c_215]) ).
tcf(c_340294,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X0)
| ~ v2_xreal_0(k4_xboole_0(X0,X1))
| ~ v1_xreal_0(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328975,c_2169]) ).
tcf(c_340295,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X0)
| ~ v3_xreal_0(k4_xboole_0(X0,X1))
| ~ v1_xreal_0(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328975,c_2164]) ).
tcf(c_340296,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_328975,c_326868]) ).
tcf(c_340297,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_328975,c_325175]) ).
tcf(c_340298,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_328975,c_325174]) ).
tcf(c_340300,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(k4_xboole_0(X0,X1))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_328975,c_93257]) ).
tcf(c_340301,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(X0,X1))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_328975,c_887]) ).
tcf(c_340302,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,X1))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_328975,c_353]) ).
tcf(c_340303,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k4_xboole_0(X0,X1))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_328975,c_214]) ).
tcf(c_340304,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_328975,c_178]) ).
tcf(c_340360,plain,
! [X0: $i] : m1_subset_1(sK47(k2_xboole_0(X0,k5_finsub_1(np__0))),k2_xboole_0(X0,k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_328348,c_329064]) ).
tcf(c_340393,plain,
( r1_tarski(k5_finsub_1(np__0),k5_finsub_1(np__0))
| ~ r1_tarski(np__0,np__0) ),
inference(superposition,[status(thm)],[c_30123,c_329264]) ).
tcf(c_340394,plain,
( r1_tarski(k5_finsub_1(sK205),k5_finsub_1(np__0))
| ~ r1_tarski(sK205,np__0) ),
inference(superposition,[status(thm)],[c_330894,c_329264]) ).
tcf(c_340395,plain,
( r1_tarski(k5_finsub_1(sK212),k5_finsub_1(np__0))
| ~ r1_tarski(sK212,np__0) ),
inference(superposition,[status(thm)],[c_330900,c_329264]) ).
tcf(c_340396,plain,
( r1_tarski(k5_finsub_1(sK413),k5_finsub_1(np__0))
| ~ r1_tarski(sK413,np__0) ),
inference(superposition,[status(thm)],[c_330901,c_329264]) ).
tcf(c_340397,plain,
! [X0: $i] :
( ( k4_xboole_0(k1_zfmisc_1(X0),k5_finsub_1(np__0)) = np__0 )
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_329264,c_817]) ).
tcf(c_340398,plain,
! [X0: $i] :
( ( k2_xboole_0(k1_zfmisc_1(X0),k5_finsub_1(np__0)) = k5_finsub_1(np__0) )
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_329264,c_513]) ).
tcf(c_340399,plain,
! [X0: $i] :
( v1_membered(k1_zfmisc_1(X0))
| ~ v1_membered(k5_finsub_1(np__0))
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_329264,c_2460]) ).
tcf(c_340400,plain,
! [X0: $i] :
( v1_finset_1(k1_zfmisc_1(X0))
| ~ v1_finset_1(k5_finsub_1(np__0))
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_329264,c_872]) ).
tcf(c_340401,plain,
! [X0: $i] :
( v1_relat_1(k1_zfmisc_1(X0))
| ~ v1_relat_1(k5_finsub_1(np__0))
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_329264,c_70]) ).
tcf(c_340402,plain,
! [X0: $i] :
( ~ r1_tarski(X0,np__0)
| ~ r2_hidden(k5_finsub_1(np__0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_329264,c_69]) ).
tcf(c_340403,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(X1))
| m1_subset_1(sK25(X0,k1_zfmisc_1(X1)),X0)
| ~ r1_tarski(X1,np__0)
| ~ r1_tarski(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_329264,c_97752]) ).
tcf(c_340417,plain,
! [X0: $i] :
( v1_finset_1(k1_zfmisc_1(X0))
| ~ r1_tarski(X0,np__0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_340400,c_324881]) ).
tcf(c_340420,plain,
! [X0: $i] :
( v1_membered(k1_zfmisc_1(X0))
| ~ r1_tarski(X0,np__0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_340399,c_325608]) ).
tcf(c_340425,plain,
! [X0: $i] :
( ( k2_xboole_0(k5_finsub_1(np__0),k1_zfmisc_1(X0)) = k5_finsub_1(np__0) )
| ~ r1_tarski(X0,np__0) ),
inference(theory_normalisation,[status(thm)],[c_340398,c_521,c_524]) ).
tcf(c_340426,plain,
! [X0: $i] :
( ( k1_zfmisc_1(X0) = k5_finsub_1(np__0) )
| ~ r1_tarski(X0,np__0) ),
inference(light_normalisation,[status(thm)],[c_340425,c_336894]) ).
tcf(c_340463,plain,
( v9_lattices(sK23)
| v3_struct_0(sK23)
| ~ l3_lattices(sK23) ),
inference(superposition,[status(thm)],[c_53,c_1610]) ).
tcf(c_340469,plain,
v9_lattices(sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_340463,c_52,c_56]) ).
tcf(c_340482,plain,
! [X0: $i] : r1_tarski(np__0,sK324(X0,np__0)),
inference(superposition,[status(thm)],[c_145,c_1615]) ).
tcf(c_340483,plain,
! [X0: $i] : r1_tarski(sK42(X0,X0),sK324(X0,sK42(X0,X0))),
inference(superposition,[status(thm)],[c_170,c_1615]) ).
tcf(c_340484,plain,
! [X0: $i] :
( r1_tarski(X0,sK324(k5_numbers,X0))
| ~ m2_finseq_1(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_1615]) ).
tcf(c_340485,plain,
! [X0: $i] : r1_tarski(sK237(X0,X0),sK324(X0,sK237(X0,X0))),
inference(superposition,[status(thm)],[c_331330,c_1615]) ).
tcf(c_340486,plain,
! [X0: $i] : r1_tarski(sK238(X0,X0),sK324(X0,sK238(X0,X0))),
inference(superposition,[status(thm)],[c_331331,c_1615]) ).
tcf(c_340487,plain,
! [X0: $i] : r1_tarski(sK239(X0,X0),sK324(X0,sK239(X0,X0))),
inference(superposition,[status(thm)],[c_331332,c_1615]) ).
tcf(c_340488,plain,
r1_tarski(sK414(k5_numbers),sK324(k5_numbers,sK414(k5_numbers))),
inference(superposition,[status(thm)],[c_331333,c_1615]) ).
tcf(c_340489,plain,
! [X0: $i] : r1_tarski(k2_zfmisc_1(X0,X0),sK324(X0,k2_zfmisc_1(X0,X0))),
inference(superposition,[status(thm)],[c_340035,c_1615]) ).
tcf(c_340522,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X1,X0))
| ~ v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_499,c_329100]) ).
tcf(c_340537,plain,
! [X0: $i] :
( ( k9_relat_1(sK29(k5_finsub_1(X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329107,c_2363]) ).
tcf(c_340538,plain,
! [X0: $i] :
( ( k10_relat_1(sK29(k5_finsub_1(X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329107,c_2321]) ).
tcf(c_340539,plain,
! [X0: $i] :
( ( k7_relat_1(sK29(k5_finsub_1(X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329107,c_2249]) ).
tcf(c_340540,plain,
! [X0: $i] :
( ( k5_relat_1(sK29(k5_finsub_1(X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329107,c_1272]) ).
tcf(c_340541,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,sK29(k5_finsub_1(X0))) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329107,c_1271]) ).
tcf(c_340571,plain,
( v1_relat_1(sK29(k5_finsub_1(np__0)))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_30123,c_329122]) ).
tcf(c_340572,plain,
( v1_relat_1(sK29(k5_finsub_1(sK205)))
| ~ v1_relat_1(sK205) ),
inference(superposition,[status(thm)],[c_330894,c_329122]) ).
tcf(c_340573,plain,
( v1_relat_1(sK29(k5_finsub_1(sK212)))
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_330900,c_329122]) ).
tcf(c_340574,plain,
( v1_relat_1(sK29(k5_finsub_1(sK413)))
| ~ v1_relat_1(sK413) ),
inference(superposition,[status(thm)],[c_330901,c_329122]) ).
tcf(c_340575,plain,
! [X0: $i] :
( ( k9_relat_1(sK29(k1_zfmisc_1(X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329122,c_2363]) ).
tcf(c_340576,plain,
! [X0: $i] :
( ( k10_relat_1(sK29(k1_zfmisc_1(X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329122,c_2321]) ).
tcf(c_340577,plain,
! [X0: $i] :
( ( k7_relat_1(sK29(k1_zfmisc_1(X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329122,c_2249]) ).
tcf(c_340578,plain,
! [X0: $i] :
( ( k5_relat_1(sK29(k1_zfmisc_1(X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329122,c_1272]) ).
tcf(c_340579,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,sK29(k1_zfmisc_1(X0))) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329122,c_1271]) ).
tcf(c_340580,plain,
v1_relat_1(sK29(k5_finsub_1(sK413))),
inference(forward_subsumption_resolution,[status(thm)],[c_340574,c_2208]) ).
tcf(c_340583,plain,
v1_relat_1(sK29(k5_finsub_1(sK205))),
inference(forward_subsumption_resolution,[status(thm)],[c_340572,c_841]) ).
tcf(c_340601,plain,
k9_relat_1(sK29(k5_finsub_1(sK413)),np__0) = np__0,
inference(superposition,[status(thm)],[c_340580,c_2363]) ).
tcf(c_340602,plain,
k10_relat_1(sK29(k5_finsub_1(sK413)),np__0) = np__0,
inference(superposition,[status(thm)],[c_340580,c_2321]) ).
tcf(c_340603,plain,
k7_relat_1(sK29(k5_finsub_1(sK413)),np__0) = np__0,
inference(superposition,[status(thm)],[c_340580,c_2249]) ).
tcf(c_340604,plain,
k5_relat_1(sK29(k5_finsub_1(sK413)),np__0) = np__0,
inference(superposition,[status(thm)],[c_340580,c_1272]) ).
tcf(c_340605,plain,
k5_relat_1(np__0,sK29(k5_finsub_1(sK413))) = np__0,
inference(superposition,[status(thm)],[c_340580,c_1271]) ).
tcf(c_340619,plain,
k9_relat_1(sK29(k5_finsub_1(sK205)),np__0) = np__0,
inference(superposition,[status(thm)],[c_340583,c_2363]) ).
tcf(c_340620,plain,
k10_relat_1(sK29(k5_finsub_1(sK205)),np__0) = np__0,
inference(superposition,[status(thm)],[c_340583,c_2321]) ).
tcf(c_340621,plain,
k7_relat_1(sK29(k5_finsub_1(sK205)),np__0) = np__0,
inference(superposition,[status(thm)],[c_340583,c_2249]) ).
tcf(c_340622,plain,
k5_relat_1(sK29(k5_finsub_1(sK205)),np__0) = np__0,
inference(superposition,[status(thm)],[c_340583,c_1272]) ).
tcf(c_340623,plain,
k5_relat_1(np__0,sK29(k5_finsub_1(sK205))) = np__0,
inference(superposition,[status(thm)],[c_340583,c_1271]) ).
tcf(c_340641,plain,
( v1_relat_1(sK47(k5_finsub_1(np__0)))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_30123,c_329129]) ).
tcf(c_340645,plain,
! [X0: $i] :
( ( k9_relat_1(sK47(k1_zfmisc_1(X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329129,c_2363]) ).
tcf(c_340646,plain,
! [X0: $i] :
( ( k10_relat_1(sK47(k1_zfmisc_1(X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329129,c_2321]) ).
tcf(c_340647,plain,
! [X0: $i] :
( ( k7_relat_1(sK47(k1_zfmisc_1(X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329129,c_2249]) ).
tcf(c_340648,plain,
! [X0: $i] :
( ( k5_relat_1(sK47(k1_zfmisc_1(X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329129,c_1272]) ).
tcf(c_340649,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,sK47(k1_zfmisc_1(X0))) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329129,c_1271]) ).
tcf(c_340715,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(X1))
| m1_subset_1(sK47(sK28(X0,k1_zfmisc_1(X1))),sK28(X0,k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_328348,c_329285]) ).
tcf(c_340716,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(X1))
| r2_hidden(sK47(sK28(X0,k1_zfmisc_1(X1))),sK28(X0,k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_326624,c_329285]) ).
tcf(c_340717,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(X1))
| ~ v1_xboole_0(sK28(X0,k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_326591,c_329285]) ).
tcf(c_340718,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_relset_1(sK28(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))),X1,X2) ),
inference(superposition,[status(thm)],[c_1063,c_329285]) ).
tcf(c_340719,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_zfmisc_1(k2_xboole_0(X1,X2)))
| ~ r1_tarski(sK28(X0,k1_zfmisc_1(k2_xboole_0(X1,X2))),X2) ),
inference(superposition,[status(thm)],[c_515,c_329285]) ).
tcf(c_340720,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_326593,c_329285]) ).
tcf(c_340722,plain,
! [X0: $i] :
( r1_tarski(X0,k1_zfmisc_1(np__0))
| ~ r1_tarski(sK28(X0,k5_finsub_1(np__0)),np__0) ),
inference(superposition,[status(thm)],[c_30123,c_329285]) ).
tcf(c_340723,plain,
! [X0: $i] :
( r1_tarski(X0,k1_zfmisc_1(sK205))
| ~ r1_tarski(sK28(X0,k5_finsub_1(sK205)),sK205) ),
inference(superposition,[status(thm)],[c_330894,c_329285]) ).
tcf(c_340724,plain,
! [X0: $i] :
( r1_tarski(X0,k1_zfmisc_1(sK212))
| ~ r1_tarski(sK28(X0,k5_finsub_1(sK212)),sK212) ),
inference(superposition,[status(thm)],[c_330900,c_329285]) ).
tcf(c_340725,plain,
! [X0: $i] :
( r1_tarski(X0,k1_zfmisc_1(sK413))
| ~ r1_tarski(sK28(X0,k5_finsub_1(sK413)),sK413) ),
inference(superposition,[status(thm)],[c_330901,c_329285]) ).
tcf(c_340728,plain,
! [X0: $i] :
( r1_tarski(X0,k5_finsub_1(sK413))
| ~ r1_tarski(sK28(X0,k5_finsub_1(sK413)),sK413) ),
inference(light_normalisation,[status(thm)],[c_340725,c_330901]) ).
tcf(c_340731,plain,
! [X0: $i] :
( r1_tarski(X0,k5_finsub_1(sK212))
| ~ r1_tarski(sK28(X0,k5_finsub_1(sK212)),sK212) ),
inference(light_normalisation,[status(thm)],[c_340724,c_330900]) ).
tcf(c_340734,plain,
! [X0: $i] :
( r1_tarski(X0,k5_finsub_1(sK205))
| ~ r1_tarski(sK28(X0,k5_finsub_1(sK205)),sK205) ),
inference(light_normalisation,[status(thm)],[c_340723,c_330894]) ).
tcf(c_340737,plain,
! [X0: $i] :
( r1_tarski(X0,k5_finsub_1(np__0))
| ~ r1_tarski(sK28(X0,k5_finsub_1(np__0)),np__0) ),
inference(light_normalisation,[status(thm)],[c_340722,c_30123]) ).
tcf(c_340774,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_finseq_1(sK396(X0,X1))
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2010,c_2193]) ).
tcf(c_340775,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_funct_1(sK396(X0,X1))
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2010,c_2192]) ).
tcf(c_340788,plain,
! [X0: $i] :
( v1_xreal_0(sK400(X0))
| ( X0 = k5_numbers )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2037,c_2056]) ).
tcf(c_340789,plain,
! [X0: $i] :
( v1_int_1(sK400(X0))
| ( X0 = k5_numbers )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2037,c_2055]) ).
tcf(c_340810,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X1,X0))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_1429,c_2047]) ).
tcf(c_340812,plain,
( v1_membered(k2_finseq_1(np__2))
| ~ v4_ordinal2(np__2)
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_1821,c_2047]) ).
tcf(c_340823,plain,
! [X0: $i] :
( v4_ordinal2(np__0)
| v1_xboole_0(k5_finsub_1(X0))
| ~ v5_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_329404,c_2042]) ).
tcf(c_340825,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| ~ r2_hidden(k5_finsub_1(X0),np__0) ),
inference(superposition,[status(thm)],[c_329404,c_196]) ).
tcf(c_340826,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| r2_hidden(sK47(k5_finsub_1(X0)),k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_329404,c_192]) ).
tcf(c_340856,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK211(X0))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_329480,c_2042]) ).
tcf(c_340858,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK211(X0)) ),
inference(superposition,[status(thm)],[c_329480,c_196]) ).
tcf(c_340876,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK210(X0))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_329483,c_2042]) ).
tcf(c_340878,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK210(X0)) ),
inference(superposition,[status(thm)],[c_329483,c_196]) ).
tcf(c_340896,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK53(X0))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_329489,c_2042]) ).
tcf(c_340898,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK53(X0)) ),
inference(superposition,[status(thm)],[c_329489,c_196]) ).
tcf(c_340912,plain,
( v1_xboole_0(k5_finsub_1(np__0))
| ~ r2_hidden(k5_finsub_1(np__0),np__0) ),
inference(superposition,[status(thm)],[c_326471,c_329781]) ).
tcf(c_340931,plain,
v1_relat_1(sK29(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_105,c_329824]) ).
tcf(c_340933,plain,
( v1_xboole_0(k5_finsub_1(np__0))
| v1_relat_1(sK74(k5_finsub_1(np__0)))
| ~ v1_realset1(k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_342,c_329824]) ).
tcf(c_340934,plain,
( v1_xboole_0(k5_finsub_1(np__0))
| v1_relat_1(sK75(k5_finsub_1(np__0)))
| ~ v1_realset1(k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_344,c_329824]) ).
tcf(c_340936,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| v1_relat_1(sK26(k5_finsub_1(np__0),X1,X0))
| ~ r1_tarski(X1,k5_finsub_1(np__0))
| ~ r1_tarski(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_97754,c_329824]) ).
tcf(c_340937,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| v1_relat_1(sK25(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))))
| ~ r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323865,c_329824]) ).
tcf(c_340938,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| v1_relat_1(sK25(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))))
| ~ r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_323866,c_329824]) ).
tcf(c_340939,plain,
( r1_tarski(k5_finsub_1(np__0),np__0)
| v1_relat_1(sK25(k5_finsub_1(np__0),np__0)) ),
inference(superposition,[status(thm)],[c_324141,c_329824]) ).
tcf(c_340940,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r1_tarski(k5_finsub_1(np__0),sK26(k5_finsub_1(X1),X2,X0))
| v1_relat_1(sK25(k5_finsub_1(np__0),sK26(k5_finsub_1(X1),X2,X0)))
| ~ r1_tarski(k5_finsub_1(np__0),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323904,c_329824]) ).
tcf(c_340944,plain,
( v1_relat_1(k5_finsub_1(np__0))
| v1_relat_1(sK137(k5_finsub_1(np__0))) ),
inference(superposition,[status(thm)],[c_325143,c_329824]) ).
tcf(c_340946,plain,
( v5_membered(k5_finsub_1(np__0))
| v1_relat_1(sK402(k5_finsub_1(np__0))) ),
inference(superposition,[status(thm)],[c_325149,c_329824]) ).
tcf(c_340947,plain,
( v1_membered(k3_tarski(k5_finsub_1(np__0)))
| v1_relat_1(sK441(k5_finsub_1(np__0))) ),
inference(superposition,[status(thm)],[c_325985,c_329824]) ).
tcf(c_340949,plain,
( v1_membered(k3_tarski(k5_finsub_1(np__0)))
| v1_relat_1(sK47(k5_finsub_1(np__0))) ),
inference(superposition,[status(thm)],[c_328597,c_329824]) ).
tcf(c_340950,plain,
! [X0: $i] :
( v1_relat_1(sK47(k5_finsub_1(np__0)))
| r1_tarski(k5_finsub_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_328348,c_329824]) ).
tcf(c_340951,plain,
( v1_xboole_0(k5_finsub_1(np__0))
| v1_relat_1(sK47(k5_finsub_1(np__0))) ),
inference(superposition,[status(thm)],[c_329995,c_329824]) ).
tcf(c_340953,plain,
( v5_membered(k5_finsub_1(np__0))
| v1_relat_1(sK47(k5_finsub_1(np__0))) ),
inference(superposition,[status(thm)],[c_327155,c_329824]) ).
tcf(c_340955,plain,
( v1_relat_1(k5_finsub_1(np__0))
| v1_relat_1(sK47(k5_finsub_1(np__0))) ),
inference(superposition,[status(thm)],[c_326921,c_329824]) ).
tcf(c_340958,plain,
( v1_relat_1(np__0)
| v1_relat_1(k5_finsub_1(np__0)) ),
inference(light_normalisation,[status(thm)],[c_340955,c_327546]) ).
tcf(c_340959,plain,
( v1_relat_1(np__0)
| v5_membered(k5_finsub_1(np__0)) ),
inference(light_normalisation,[status(thm)],[c_340953,c_327546]) ).
tcf(c_340960,plain,
( v1_relat_1(np__0)
| v1_xboole_0(k5_finsub_1(np__0)) ),
inference(light_normalisation,[status(thm)],[c_340951,c_327546]) ).
tcf(c_340965,plain,
! [X0: $i] :
( v1_relat_1(np__0)
| r1_tarski(k5_finsub_1(np__0),X0) ),
inference(light_normalisation,[status(thm)],[c_340950,c_327546]) ).
tcf(c_340966,plain,
( v1_relat_1(np__0)
| v1_membered(k3_tarski(k5_finsub_1(np__0))) ),
inference(light_normalisation,[status(thm)],[c_340949,c_327546]) ).
tcf(c_340970,plain,
( v1_relat_1(np__0)
| r1_tarski(k5_finsub_1(np__0),np__0) ),
inference(light_normalisation,[status(thm)],[c_340939,c_328148]) ).
tcf(c_340971,plain,
v1_relat_1(sK75(k5_finsub_1(np__0))),
inference(forward_subsumption_resolution,[status(thm)],[c_340934,c_324876,c_325406]) ).
tcf(c_340972,plain,
v1_relat_1(sK74(k5_finsub_1(np__0))),
inference(forward_subsumption_resolution,[status(thm)],[c_340933,c_324876,c_325406]) ).
tcf(c_341003,plain,
k9_relat_1(sK75(k5_finsub_1(np__0)),np__0) = np__0,
inference(superposition,[status(thm)],[c_340971,c_2363]) ).
tcf(c_341004,plain,
k10_relat_1(sK75(k5_finsub_1(np__0)),np__0) = np__0,
inference(superposition,[status(thm)],[c_340971,c_2321]) ).
tcf(c_341005,plain,
k7_relat_1(sK75(k5_finsub_1(np__0)),np__0) = np__0,
inference(superposition,[status(thm)],[c_340971,c_2249]) ).
tcf(c_341006,plain,
k5_relat_1(sK75(k5_finsub_1(np__0)),np__0) = np__0,
inference(superposition,[status(thm)],[c_340971,c_1272]) ).
tcf(c_341007,plain,
k5_relat_1(np__0,sK75(k5_finsub_1(np__0))) = np__0,
inference(superposition,[status(thm)],[c_340971,c_1271]) ).
tcf(c_341008,plain,
k9_relat_1(sK74(k5_finsub_1(np__0)),np__0) = np__0,
inference(superposition,[status(thm)],[c_340972,c_2363]) ).
tcf(c_341009,plain,
k10_relat_1(sK74(k5_finsub_1(np__0)),np__0) = np__0,
inference(superposition,[status(thm)],[c_340972,c_2321]) ).
tcf(c_341010,plain,
k7_relat_1(sK74(k5_finsub_1(np__0)),np__0) = np__0,
inference(superposition,[status(thm)],[c_340972,c_2249]) ).
tcf(c_341011,plain,
k5_relat_1(sK74(k5_finsub_1(np__0)),np__0) = np__0,
inference(superposition,[status(thm)],[c_340972,c_1272]) ).
tcf(c_341012,plain,
k5_relat_1(np__0,sK74(k5_finsub_1(np__0))) = np__0,
inference(superposition,[status(thm)],[c_340972,c_1271]) ).
tcf(c_341033,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| ( k1_card_1(sK204(sK47(k5_finsub_1(X0)))) = k1_card_1(sK47(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_330154,c_835]) ).
tcf(c_341034,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| ( k2_relat_1(sK412(sK47(k5_finsub_1(X0)))) = sK47(k5_finsub_1(X0)) ) ),
inference(superposition,[status(thm)],[c_330154,c_2199]) ).
tcf(c_341035,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| ( k1_zfmisc_1(sK47(k5_finsub_1(X0))) = k5_finsub_1(sK47(k5_finsub_1(X0))) ) ),
inference(superposition,[status(thm)],[c_330154,c_859]) ).
tcf(c_341042,plain,
r1_tarski(np__0,k1_zfmisc_1(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_161,c_330378]) ).
tcf(c_341044,plain,
r1_tarski(k2_zfmisc_1(np__0,np__0),k1_zfmisc_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_30123,c_330378]) ).
tcf(c_341045,plain,
r1_tarski(k2_zfmisc_1(sK205,sK205),k1_zfmisc_1(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_330894,c_330378]) ).
tcf(c_341046,plain,
r1_tarski(k2_zfmisc_1(sK212,sK212),k1_zfmisc_1(k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_330900,c_330378]) ).
tcf(c_341047,plain,
r1_tarski(k2_zfmisc_1(sK413,sK413),k1_zfmisc_1(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_330901,c_330378]) ).
tcf(c_341048,plain,
! [X0: $i] : k4_xboole_0(k2_zfmisc_1(X0,X0),k1_zfmisc_1(k1_zfmisc_1(X0))) = np__0,
inference(superposition,[status(thm)],[c_330378,c_817]) ).
tcf(c_341049,plain,
! [X0: $i] : k2_xboole_0(k2_zfmisc_1(X0,X0),k1_zfmisc_1(k1_zfmisc_1(X0))) = k1_zfmisc_1(k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_330378,c_513]) ).
tcf(c_341050,plain,
! [X0: $i] :
( v1_membered(k2_zfmisc_1(X0,X0))
| ~ v1_membered(k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_330378,c_2460]) ).
tcf(c_341051,plain,
! [X0: $i] :
( v1_finset_1(k2_zfmisc_1(X0,X0))
| ~ v1_finset_1(k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_330378,c_872]) ).
tcf(c_341052,plain,
! [X0: $i] :
( v1_relat_1(k2_zfmisc_1(X0,X0))
| ~ v1_relat_1(k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_330378,c_70]) ).
tcf(c_341053,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(k1_zfmisc_1(X0)),k2_zfmisc_1(X0,X0)),
inference(superposition,[status(thm)],[c_330378,c_69]) ).
tcf(c_341054,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_zfmisc_1(X1,X1))
| m1_subset_1(sK25(X0,k2_zfmisc_1(X1,X1)),X0)
| ~ r1_tarski(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_330378,c_97752]) ).
tcf(c_341055,plain,
r1_tarski(np__0,k5_finsub_1(k5_finsub_1(np__0))),
inference(light_normalisation,[status(thm)],[c_341042,c_30123,c_330905]) ).
tcf(c_341056,plain,
r1_tarski(k2_zfmisc_1(sK413,sK413),k5_finsub_1(k5_finsub_1(sK413))),
inference(light_normalisation,[status(thm)],[c_341047,c_333180]) ).
tcf(c_341057,plain,
r1_tarski(k2_zfmisc_1(sK212,sK212),k5_finsub_1(k5_finsub_1(sK212))),
inference(light_normalisation,[status(thm)],[c_341046,c_331672]) ).
tcf(c_341058,plain,
r1_tarski(k2_zfmisc_1(sK205,sK205),k5_finsub_1(k5_finsub_1(sK205))),
inference(light_normalisation,[status(thm)],[c_341045,c_331263]) ).
tcf(c_341059,plain,
r1_tarski(k2_zfmisc_1(np__0,np__0),k5_finsub_1(k5_finsub_1(np__0))),
inference(light_normalisation,[status(thm)],[c_341044,c_330905]) ).
tcf(c_341104,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(X0,k2_xboole_0(X1,k2_xboole_0(X2,X0))),
inference(superposition,[status(thm)],[c_524,c_330474]) ).
tcf(c_341107,plain,
! [X0: $i] : r1_tarski(k5_numbers,k2_xboole_0(X0,k1_numbers)),
inference(superposition,[status(thm)],[c_336848,c_330474]) ).
tcf(c_341108,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(X0,k2_xboole_0(X1,k2_xboole_0(X0,X2))) = np__0,
inference(superposition,[status(thm)],[c_330474,c_817]) ).
tcf(c_341109,plain,
! [X0: $i,X1: $i,X2: $i] : k2_xboole_0(X0,k2_xboole_0(X1,k2_xboole_0(X0,X2))) = k2_xboole_0(X1,k2_xboole_0(X0,X2)),
inference(superposition,[status(thm)],[c_330474,c_513]) ).
tcf(c_341110,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(X1)
| ~ v1_membered(k2_xboole_0(X0,k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_330474,c_2460]) ).
tcf(c_341111,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(X1)
| ~ v1_finset_1(k2_xboole_0(X0,k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_330474,c_872]) ).
tcf(c_341112,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X1)
| ~ v1_relat_1(k2_xboole_0(X0,k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_330474,c_70]) ).
tcf(c_341114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X2)
| m1_subset_1(sK25(X0,X2),X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,k2_xboole_0(X2,X3))) ),
inference(superposition,[status(thm)],[c_330474,c_97752]) ).
tcf(c_341116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r2_hidden(X0,k2_xboole_0(X1,k2_xboole_0(k2_tarski(X2,X0),X3))),
inference(superposition,[status(thm)],[c_330474,c_1413]) ).
tcf(c_341117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r2_hidden(X0,k2_xboole_0(X1,k2_xboole_0(k2_tarski(X0,X2),X3))),
inference(superposition,[status(thm)],[c_330474,c_1412]) ).
tcf(c_341146,plain,
! [X0: $i] :
( r1_tarski(np__0,np__0)
| r1_tarski(k5_finsub_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_327546,c_330228]) ).
tcf(c_341147,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK47(k5_finsub_1(X0)),X0)
| ( k4_xboole_0(k5_finsub_1(X0),X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_330228,c_817]) ).
tcf(c_341148,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK47(k5_finsub_1(X0)),X0)
| ( k2_xboole_0(k5_finsub_1(X0),X1) = X1 ) ),
inference(superposition,[status(thm)],[c_330228,c_513]) ).
tcf(c_341149,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_finsub_1(X1))
| r1_tarski(sK47(k5_finsub_1(X1)),X1)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_330228,c_2460]) ).
tcf(c_341150,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k5_finsub_1(X1))
| r1_tarski(sK47(k5_finsub_1(X1)),X1)
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_330228,c_872]) ).
tcf(c_341151,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_finsub_1(X1))
| r1_tarski(sK47(k5_finsub_1(X1)),X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_330228,c_70]) ).
tcf(c_341152,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK47(k5_finsub_1(X1)),X1)
| ~ r2_hidden(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_330228,c_69]) ).
tcf(c_341153,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k5_finsub_1(X2))
| r1_tarski(sK47(k5_finsub_1(X2)),X2)
| m1_subset_1(sK25(X0,k5_finsub_1(X2)),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_330228,c_97752]) ).
tcf(c_341157,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK47(k5_finsub_1(X0)),X0)
| m1_relset_1(k5_finsub_1(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_330228,c_1062]) ).
tcf(c_341158,plain,
! [X0: $i] :
( r1_tarski(sK47(k5_finsub_1(X0)),X0)
| ( k5_finsub_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_330228,c_816]) ).
tcf(c_341159,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(X0),X1)
| r1_tarski(sK47(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_330228,c_2401]) ).
tcf(c_341163,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK47(k5_finsub_1(X0)),X0)
| r1_tarski(k5_finsub_1(X0),k1_zfmisc_1(k4_xboole_0(X1,X2)))
| m1_subset_1(sK25(k5_finsub_1(X0),k1_zfmisc_1(k4_xboole_0(X1,X2))),k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_330228,c_323864]) ).
tcf(c_341165,plain,
r1_tarski(sK47(k5_finsub_1(k5_finsub_1(np__0))),k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_330228,c_330978]) ).
tcf(c_341169,plain,
r1_tarski(sK47(k5_finsub_1(k5_finsub_1(sK205))),k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_330228,c_334817]) ).
tcf(c_341170,plain,
r1_tarski(sK47(k5_finsub_1(k5_finsub_1(sK212))),k5_finsub_1(sK212)),
inference(superposition,[status(thm)],[c_330228,c_335388]) ).
tcf(c_341171,plain,
r1_tarski(sK47(k5_finsub_1(k5_finsub_1(sK413))),k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_330228,c_336464]) ).
tcf(c_341172,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| ( k4_xboole_0(sK47(k5_finsub_1(X0)),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_330228,c_817]) ).
tcf(c_341173,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| ( k2_xboole_0(sK47(k5_finsub_1(X0)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_330228,c_513]) ).
tcf(c_341174,plain,
! [X0: $i,X1: $i] :
( v1_membered(sK47(k5_finsub_1(X0)))
| r1_tarski(k5_finsub_1(X0),X1)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_330228,c_2460]) ).
tcf(c_341176,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK47(k5_finsub_1(X0)))
| r1_tarski(k5_finsub_1(X0),X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_330228,c_70]) ).
tcf(c_341177,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| ~ r2_hidden(X0,sK47(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_330228,c_69]) ).
tcf(c_341178,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X1),X2)
| r1_tarski(X0,sK47(k5_finsub_1(X1)))
| m1_subset_1(sK25(X0,sK47(k5_finsub_1(X1))),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_330228,c_97752]) ).
tcf(c_341180,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k2_zfmisc_1(X0,X1)),X2)
| m1_relset_1(sK47(k5_finsub_1(k2_zfmisc_1(X0,X1))),X0,X1) ),
inference(superposition,[status(thm)],[c_330228,c_1062]) ).
tcf(c_341181,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),X2)
| r1_xboole_0(sK47(k5_finsub_1(k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_330228,c_2401]) ).
tcf(c_341182,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),X2)
| r1_tarski(sK47(k5_finsub_1(k4_xboole_0(X0,X1))),X0) ),
inference(superposition,[status(thm)],[c_330228,c_2400]) ).
tcf(c_341183,plain,
! [X0: $i] :
( v1_membered(sK47(k5_finsub_1(k1_numbers)))
| r1_tarski(k5_finsub_1(k1_numbers),X0) ),
inference(superposition,[status(thm)],[c_330228,c_326348]) ).
tcf(c_341184,plain,
! [X0: $i] :
( v2_membered(sK47(k5_finsub_1(k1_numbers)))
| r1_tarski(k5_finsub_1(k1_numbers),X0) ),
inference(superposition,[status(thm)],[c_330228,c_326347]) ).
tcf(c_341185,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),X2)
| r1_tarski(sK47(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK47(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK47(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))))) ),
inference(superposition,[status(thm)],[c_330228,c_323864]) ).
tcf(c_341215,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| ( k2_xboole_0(X0,sK47(k5_finsub_1(X0))) = X0 ) ),
inference(theory_normalisation,[status(thm)],[c_341173,c_521,c_524]) ).
tcf(c_341294,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X1,X0))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_1429,c_2048]) ).
tcf(c_341296,plain,
( v2_membered(k2_finseq_1(np__2))
| ~ v4_ordinal2(np__2)
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_1821,c_2048]) ).
tcf(c_341318,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X1,X0))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_1429,c_2049]) ).
tcf(c_341320,plain,
( v3_membered(k2_finseq_1(np__2))
| ~ v4_ordinal2(np__2)
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_1821,c_2049]) ).
tcf(c_341337,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_tarski(X1,X0))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_1429,c_2050]) ).
tcf(c_341339,plain,
( v5_membered(k2_finseq_1(np__2))
| ~ v4_ordinal2(np__2)
| ~ v4_ordinal2(np__1) ),
inference(superposition,[status(thm)],[c_1821,c_2050]) ).
tcf(c_341360,plain,
! [X0: $i] : r1_tarski(k5_numbers,k2_xboole_0(k1_numbers,X0)),
inference(superposition,[status(thm)],[c_524,c_341107]) ).
tcf(c_341363,plain,
! [X0: $i] : k4_xboole_0(k5_numbers,k2_xboole_0(X0,k1_numbers)) = np__0,
inference(superposition,[status(thm)],[c_341107,c_817]) ).
tcf(c_341364,plain,
! [X0: $i] : k2_xboole_0(k5_numbers,k2_xboole_0(X0,k1_numbers)) = k2_xboole_0(X0,k1_numbers),
inference(superposition,[status(thm)],[c_341107,c_513]) ).
tcf(c_341366,plain,
! [X0: $i] :
( v1_finset_1(k5_numbers)
| ~ v1_finset_1(k2_xboole_0(X0,k1_numbers)) ),
inference(superposition,[status(thm)],[c_341107,c_872]) ).
tcf(c_341367,plain,
! [X0: $i] :
( v1_relat_1(k5_numbers)
| ~ v1_relat_1(k2_xboole_0(X0,k1_numbers)) ),
inference(superposition,[status(thm)],[c_341107,c_70]) ).
tcf(c_341368,plain,
! [X0: $i] : ~ r2_hidden(k2_xboole_0(X0,k1_numbers),k5_numbers),
inference(superposition,[status(thm)],[c_341107,c_69]) ).
tcf(c_341369,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k5_numbers)
| m1_subset_1(sK25(X0,k5_numbers),X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,k1_numbers)) ),
inference(superposition,[status(thm)],[c_341107,c_97752]) ).
tcf(c_341372,plain,
! [X0: $i] : ~ v1_finset_1(k2_xboole_0(X0,k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_341366,c_832]) ).
tcf(c_341389,plain,
! [X0: $i] : k4_xboole_0(k5_numbers,k2_xboole_0(k1_numbers,X0)) = np__0,
inference(superposition,[status(thm)],[c_341360,c_817]) ).
tcf(c_341390,plain,
! [X0: $i] : k2_xboole_0(k5_numbers,k2_xboole_0(k1_numbers,X0)) = k2_xboole_0(k1_numbers,X0),
inference(superposition,[status(thm)],[c_341360,c_513]) ).
tcf(c_341392,plain,
! [X0: $i] :
( v1_finset_1(k5_numbers)
| ~ v1_finset_1(k2_xboole_0(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_341360,c_872]) ).
tcf(c_341393,plain,
! [X0: $i] :
( v1_relat_1(k5_numbers)
| ~ v1_relat_1(k2_xboole_0(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_341360,c_70]) ).
tcf(c_341394,plain,
! [X0: $i] : ~ r2_hidden(k2_xboole_0(k1_numbers,X0),k5_numbers),
inference(superposition,[status(thm)],[c_341360,c_69]) ).
tcf(c_341395,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k5_numbers)
| m1_subset_1(sK25(X0,k5_numbers),X0)
| ~ r1_tarski(X0,k2_xboole_0(k1_numbers,X1)) ),
inference(superposition,[status(thm)],[c_341360,c_97752]) ).
tcf(c_341398,plain,
! [X0: $i] : ~ v1_finset_1(k2_xboole_0(k1_numbers,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_341392,c_832]) ).
tcf(c_341451,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_812,c_330496]) ).
tcf(c_341452,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(np__0,X0),X1),
inference(superposition,[status(thm)],[c_819,c_330496]) ).
tcf(c_341453,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k7_relat_1(np__0,X0),X1)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_2269,c_330496]) ).
tcf(c_341454,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(k7_relat_1(X0,np__0)),X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2270,c_330496]) ).
tcf(c_341459,plain,
! [X0: $i] : r1_tarski(sK29(k5_finsub_1(np__0)),X0),
inference(superposition,[status(thm)],[c_323947,c_330496]) ).
tcf(c_341462,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,np__0)),X1),
inference(superposition,[status(thm)],[c_324338,c_330496]) ).
tcf(c_341464,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| r1_tarski(sK25(k5_finsub_1(np__0),X0),X1) ),
inference(superposition,[status(thm)],[c_328506,c_330496]) ).
tcf(c_341465,plain,
! [X0: $i] : r1_tarski(sK29(k1_zfmisc_1(np__0)),X0),
inference(superposition,[status(thm)],[c_326374,c_330496]) ).
tcf(c_341466,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X0)
| r1_tarski(sK26(k1_zfmisc_1(np__0),X1,X0),X2)
| ~ r1_tarski(X1,k1_zfmisc_1(np__0))
| ~ r1_tarski(X0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_326381,c_330496]) ).
tcf(c_341467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),X3)
| ~ r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328021,c_330496]) ).
tcf(c_341468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),X3)
| ~ r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_326382,c_330496]) ).
tcf(c_341469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k1_zfmisc_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),X3)
| ~ r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_327861,c_330496]) ).
tcf(c_341470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X0)
| r1_tarski(k1_zfmisc_1(np__0),sK26(k5_finsub_1(X1),X2,X0))
| r1_tarski(sK25(k1_zfmisc_1(np__0),sK26(k5_finsub_1(X1),X2,X0)),X3)
| ~ r1_tarski(k1_zfmisc_1(np__0),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_326385,c_330496]) ).
tcf(c_341471,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(np__0),X0)
| r1_tarski(sK28(k1_zfmisc_1(np__0),X0),X1) ),
inference(superposition,[status(thm)],[c_326593,c_330496]) ).
tcf(c_341472,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X1,X0))
| r1_tarski(sK25(k5_finsub_1(np__0),k2_xboole_0(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_330258,c_330496]) ).
tcf(c_341473,plain,
! [X0: $i] : r1_tarski(sK47(k1_zfmisc_1(np__0)),X0),
inference(superposition,[status(thm)],[c_328444,c_330496]) ).
tcf(c_341474,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(np__0),X1)
| r1_tarski(sK47(k5_finsub_1(np__0)),X0) ),
inference(superposition,[status(thm)],[c_330228,c_330496]) ).
tcf(c_341475,plain,
! [X0: $i] : r1_tarski(sK25(k1_zfmisc_1(np__0),np__0),X0),
inference(superposition,[status(thm)],[c_328139,c_330496]) ).
tcf(c_341476,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| r1_tarski(sK25(k1_zfmisc_1(np__0),k4_xboole_0(X1,k4_xboole_0(X1,X0))),X2)
| ~ r1_tarski(k1_zfmisc_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_331985,c_330496]) ).
tcf(c_341477,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| r1_tarski(sK28(k5_finsub_1(np__0),X0),X1) ),
inference(superposition,[status(thm)],[c_328382,c_330496]) ).
tcf(c_341478,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(X1,X0))
| r1_tarski(sK25(k1_zfmisc_1(np__0),k2_xboole_0(X1,X0)),X2)
| ~ r1_tarski(k1_zfmisc_1(np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_331819,c_330496]) ).
tcf(c_341486,plain,
! [X0: $i,X1: $i] :
( r1_tarski(np__0,X1)
| r1_tarski(k5_finsub_1(np__0),X0) ),
inference(light_normalisation,[status(thm)],[c_341474,c_327546]) ).
tcf(c_341498,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X0)
| r1_tarski(sK26(k5_finsub_1(np__0),X1,X0),X2)
| ~ r1_tarski(X1,k5_finsub_1(np__0))
| ~ r1_tarski(X0,k5_finsub_1(np__0)) ),
inference(light_normalisation,[status(thm)],[c_341466,c_30123]) ).
tcf(c_341503,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X1,X0))
| r1_tarski(sK25(k5_finsub_1(np__0),k2_xboole_0(X1,X0)),X2)
| ~ r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_341478,c_30123]) ).
tcf(c_341507,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(np__0),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| r1_tarski(sK25(k5_finsub_1(np__0),k4_xboole_0(X1,k4_xboole_0(X1,X0))),X2)
| ~ r1_tarski(k5_finsub_1(np__0),X0) ),
inference(light_normalisation,[status(thm)],[c_341476,c_30123]) ).
tcf(c_341511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),X3)
| ~ r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_341469,c_30123]) ).
tcf(c_341515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),X3)
| ~ r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_341468,c_30123]) ).
tcf(c_341519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k5_finsub_1(np__0),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),X3)
| ~ r1_tarski(k5_finsub_1(np__0),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_341467,c_30123]) ).
tcf(c_341523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X0)
| r1_tarski(k5_finsub_1(np__0),sK26(k5_finsub_1(X1),X2,X0))
| r1_tarski(sK25(k5_finsub_1(np__0),sK26(k5_finsub_1(X1),X2,X0)),X3)
| ~ r1_tarski(k5_finsub_1(np__0),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(light_normalisation,[status(thm)],[c_341470,c_30123]) ).
tcf(c_341550,plain,
! [X0: $i,X1: $i] : m1_subset_1(sK47(k1_zfmisc_1(k2_xboole_0(X0,X1))),k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_328348,c_330507]) ).
tcf(c_341551,plain,
! [X0: $i,X1: $i] : r2_hidden(sK47(k1_zfmisc_1(k2_xboole_0(X0,X1))),k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_326624,c_330507]) ).
tcf(c_341552,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_326591,c_330507]) ).
tcf(c_341554,plain,
! [X0: $i,X1: $i,X2: $i] : ~ m1_relset_1(k1_zfmisc_1(k2_xboole_0(X0,k2_zfmisc_1(X1,X2))),X1,X2),
inference(superposition,[status(thm)],[c_1063,c_330507]) ).
tcf(c_341555,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,k2_xboole_0(X1,X2))),X2),
inference(superposition,[status(thm)],[c_515,c_330507]) ).
tcf(c_341558,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_499,c_330507]) ).
tcf(c_341559,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_519,c_330507]) ).
tcf(c_341560,plain,
! [X0: $i] : ~ r1_tarski(k1_zfmisc_1(X0),np__0),
inference(superposition,[status(thm)],[c_522,c_330507]) ).
tcf(c_341562,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),X0),
inference(superposition,[status(thm)],[c_524,c_330507]) ).
tcf(c_341564,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_31762,c_330507]) ).
tcf(c_341565,plain,
~ r1_tarski(k1_zfmisc_1(k1_numbers),k1_numbers),
inference(superposition,[status(thm)],[c_336848,c_330507]) ).
tcf(c_341584,plain,
~ r1_tarski(k5_finsub_1(sK205),np__0),
inference(superposition,[status(thm)],[c_330894,c_341560]) ).
tcf(c_341585,plain,
~ r1_tarski(k5_finsub_1(sK212),np__0),
inference(superposition,[status(thm)],[c_330900,c_341560]) ).
tcf(c_341586,plain,
~ r1_tarski(k5_finsub_1(sK413),np__0),
inference(superposition,[status(thm)],[c_330901,c_341560]) ).
tcf(c_341619,plain,
! [X0: $i,X1: $i] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| ~ v2_xreal_0(k6_xcmplx_0(X0,X1))
| ~ v3_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2101,c_2171]) ).
tcf(c_341620,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(k6_xcmplx_0(X0,X1))
| v3_xreal_0(k6_xcmplx_0(X0,X1))
| v1_xboole_0(k6_xcmplx_0(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_2101,c_2168]) ).
tcf(c_341651,plain,
! [X0: $i,X1: $i] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ~ v2_xreal_0(k6_xcmplx_0(X0,X1))
| ~ v3_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2130,c_2171]) ).
tcf(c_341652,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(k6_xcmplx_0(X0,X1))
| v3_xreal_0(k6_xcmplx_0(X0,X1))
| v1_xboole_0(k6_xcmplx_0(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_2130,c_2168]) ).
tcf(c_341663,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(k1_zfmisc_1(X0),X1)),X0),
inference(superposition,[status(thm)],[c_93,c_330552]) ).
tcf(c_341665,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k1_zfmisc_1(k2_xboole_0(k2_xboole_0(X0,X1),X2)),X1),
inference(superposition,[status(thm)],[c_529,c_330552]) ).
tcf(c_341666,plain,
! [X0: $i] : ~ v1_xreal_0(k1_zfmisc_1(k2_xboole_0(k1_numbers,X0))),
inference(superposition,[status(thm)],[c_1784,c_330552]) ).
tcf(c_341676,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k1_zfmisc_1(k2_xboole_0(X0,k2_xboole_0(X1,X2))),X1),
inference(theory_normalisation,[status(thm)],[c_341665,c_521,c_524]) ).
tcf(c_341683,plain,
! [X0: $i] : ~ v1_xreal_0(k1_zfmisc_1(k2_xboole_0(X0,k1_numbers))),
inference(superposition,[status(thm)],[c_524,c_341666]) ).
tcf(c_341690,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,k1_zfmisc_1(X1))),X1),
inference(superposition,[status(thm)],[c_93,c_330587]) ).
tcf(c_341692,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k1_zfmisc_1(k2_xboole_0(X0,k2_xboole_0(X1,X2))),X2),
inference(superposition,[status(thm)],[c_529,c_330587]) ).
tcf(c_341695,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k2_xboole_0(X0,X1)),k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_499,c_330587]) ).
tcf(c_341696,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k2_xboole_0(X0,X1)),k2_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_519,c_330587]) ).
tcf(c_341701,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_31762,c_330587]) ).
tcf(c_341702,plain,
~ r2_hidden(k1_zfmisc_1(k1_numbers),k1_numbers),
inference(superposition,[status(thm)],[c_336848,c_330587]) ).
tcf(c_341722,plain,
! [X0: $i,X1: $i] :
( r2_hidden(np__0,k2_tarski(X0,X1))
| ~ r2_hidden(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_330815,c_1401]) ).
tcf(c_341732,plain,
! [X0: $i,X1: $i] :
( r2_hidden(np__1,k2_tarski(X0,X1))
| ~ r2_hidden(X0,k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_330824,c_1401]) ).
tcf(c_341742,plain,
! [X0: $i] :
( m1_subset_1(np__0,k5_finsub_1(np__0))
| r1_xboole_0(k5_finsub_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_327546,c_330860]) ).
tcf(c_341744,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK47(k2_tarski(X0,X2)),k2_tarski(X0,X2))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_330860,c_1401]) ).
tcf(c_341745,plain,
! [X0: $i] : m1_subset_1(sK47(k2_tarski(X0,X0)),k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_330860,c_2398]) ).
tcf(c_341753,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(sK47(X0))
| r1_xboole_0(X0,X1)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_330860,c_1807]) ).
tcf(c_341754,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(sK47(X0))
| r1_xboole_0(X0,X1)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_330860,c_1806]) ).
tcf(c_341758,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(sK47(k5_finsub_1(X0)))
| r1_xboole_0(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_330860,c_860]) ).
tcf(c_341768,plain,
! [X0: $i] :
( v1_relat_1(sK47(k5_finsub_1(np__0)))
| r1_xboole_0(k5_finsub_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_330860,c_329824]) ).
tcf(c_341769,plain,
! [X0: $i] :
( v1_relat_1(np__0)
| r1_xboole_0(k5_finsub_1(np__0),X0) ),
inference(light_normalisation,[status(thm)],[c_341768,c_327546]) ).
tcf(c_341811,plain,
! [X0: $i] :
( v1_finset_1(k5_finsub_1(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_865,c_330999]) ).
tcf(c_341822,plain,
! [X0: $i] :
( ( k1_card_1(sK204(k5_finsub_1(X0))) = k1_card_1(k5_finsub_1(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_341811,c_835]) ).
tcf(c_341823,plain,
! [X0: $i] :
( ( k2_relat_1(sK412(k5_finsub_1(X0))) = k5_finsub_1(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_341811,c_2199]) ).
tcf(c_341824,plain,
! [X0: $i] :
( ( k1_zfmisc_1(k5_finsub_1(X0)) = k5_finsub_1(k5_finsub_1(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_341811,c_859]) ).
tcf(c_341851,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(X1,X0))
| ~ v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_499,c_331008]) ).
tcf(c_341891,plain,
! [X0: $i,X1: $i] :
( sP8(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(k7_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_2239,c_1234]) ).
tcf(c_341900,plain,
( r1_tarski(k2_relat_1(np__0),k2_relat_1(np__0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_2248,c_2260]) ).
tcf(c_341901,plain,
( r1_tarski(k2_relat_1(np__0),k2_relat_1(sK44))
| ~ v1_relat_1(sK44) ),
inference(superposition,[status(thm)],[c_334220,c_2260]) ).
tcf(c_341902,plain,
( r1_tarski(k2_relat_1(np__0),k2_relat_1(sK45))
| ~ v1_relat_1(sK45) ),
inference(superposition,[status(thm)],[c_334221,c_2260]) ).
tcf(c_341903,plain,
( r1_tarski(k2_relat_1(np__0),k2_relat_1(sK205))
| ~ v1_relat_1(sK205) ),
inference(superposition,[status(thm)],[c_334228,c_2260]) ).
tcf(c_341904,plain,
( r1_tarski(k2_relat_1(np__0),k2_relat_1(sK293))
| ~ v1_relat_1(sK293) ),
inference(superposition,[status(thm)],[c_334234,c_2260]) ).
tcf(c_341905,plain,
( r1_tarski(k2_relat_1(np__0),k2_relat_1(sK413))
| ~ v1_relat_1(sK413) ),
inference(superposition,[status(thm)],[c_334236,c_2260]) ).
tcf(c_341906,plain,
( r1_tarski(k2_relat_1(np__0),k2_relat_1(sK415))
| ~ v1_relat_1(sK415) ),
inference(superposition,[status(thm)],[c_334238,c_2260]) ).
tcf(c_341907,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_539,c_2260]) ).
tcf(c_341908,plain,
! [X0: $i] :
( r1_tarski(k2_relat_1(k7_relat_1(sK412(np__0),X0)),np__0)
| ~ v1_relat_1(sK412(np__0)) ),
inference(superposition,[status(thm)],[c_334048,c_2260]) ).
tcf(c_341909,plain,
! [X0: $i] :
( r1_tarski(k2_relat_1(k7_relat_1(sK412(sK205),X0)),sK205)
| ~ v1_relat_1(sK412(sK205)) ),
inference(superposition,[status(thm)],[c_334038,c_2260]) ).
tcf(c_341910,plain,
! [X0: $i] :
( r1_tarski(k2_relat_1(k7_relat_1(sK412(sK212),X0)),sK212)
| ~ v1_relat_1(sK412(sK212)) ),
inference(superposition,[status(thm)],[c_334045,c_2260]) ).
tcf(c_341911,plain,
! [X0: $i] :
( r1_tarski(k2_relat_1(k7_relat_1(sK412(sK413),X0)),sK413)
| ~ v1_relat_1(sK412(sK413)) ),
inference(superposition,[status(thm)],[c_334046,c_2260]) ).
tcf(c_341912,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_2260,c_817]) ).
tcf(c_341913,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_2260,c_513]) ).
tcf(c_341914,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_2260,c_2460]) ).
tcf(c_341915,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_2260,c_872]) ).
tcf(c_341916,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_2260,c_70]) ).
tcf(c_341917,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_2260,c_69]) ).
tcf(c_341918,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_relat_1(k7_relat_1(X1,X2)))
| m1_subset_1(sK25(X0,k2_relat_1(k7_relat_1(X1,X2))),X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k2_relat_1(X1)) ),
inference(superposition,[status(thm)],[c_2260,c_97752]) ).
tcf(c_341948,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_341913,c_521,c_524]) ).
tcf(c_341983,plain,
( v1_finset_1(sK29(k5_finsub_1(np__0)))
| ~ v1_finset_1(np__0) ),
inference(superposition,[status(thm)],[c_30123,c_331031]) ).
tcf(c_341984,plain,
( v1_finset_1(sK29(k5_finsub_1(sK205)))
| ~ v1_finset_1(sK205) ),
inference(superposition,[status(thm)],[c_330894,c_331031]) ).
tcf(c_341985,plain,
( v1_finset_1(sK29(k5_finsub_1(sK212)))
| ~ v1_finset_1(sK212) ),
inference(superposition,[status(thm)],[c_330900,c_331031]) ).
tcf(c_341986,plain,
( v1_finset_1(sK29(k5_finsub_1(sK413)))
| ~ v1_finset_1(sK413) ),
inference(superposition,[status(thm)],[c_330901,c_331031]) ).
tcf(c_341987,plain,
! [X0: $i] :
( ( k1_card_1(sK204(sK29(k1_zfmisc_1(X0)))) = k1_card_1(sK29(k1_zfmisc_1(X0))) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_331031,c_835]) ).
tcf(c_341988,plain,
! [X0: $i] :
( ( k2_relat_1(sK412(sK29(k1_zfmisc_1(X0)))) = sK29(k1_zfmisc_1(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_331031,c_2199]) ).
tcf(c_341989,plain,
! [X0: $i] :
( ( k1_zfmisc_1(sK29(k1_zfmisc_1(X0))) = k5_finsub_1(sK29(k1_zfmisc_1(X0))) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_331031,c_859]) ).
tcf(c_342001,plain,
( v1_finset_1(sK47(k5_finsub_1(np__0)))
| ~ v1_finset_1(np__0) ),
inference(superposition,[status(thm)],[c_30123,c_331038]) ).
tcf(c_342005,plain,
! [X0: $i] :
( ( k1_card_1(sK204(sK47(k1_zfmisc_1(X0)))) = k1_card_1(sK47(k1_zfmisc_1(X0))) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_331038,c_835]) ).
tcf(c_342006,plain,
! [X0: $i] :
( ( k2_relat_1(sK412(sK47(k1_zfmisc_1(X0)))) = sK47(k1_zfmisc_1(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_331038,c_2199]) ).
tcf(c_342007,plain,
! [X0: $i] :
( ( k1_zfmisc_1(sK47(k1_zfmisc_1(X0))) = k5_finsub_1(sK47(k1_zfmisc_1(X0))) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_331038,c_859]) ).
tcf(c_342015,plain,
v1_finset_1(k4_xboole_0(np__0,np__0)),
inference(global_subsumption_just,[status(thm)],[c_331156,c_169,c_2565,c_2655]) ).
tcf(c_342018,plain,
! [X0: $i] : m1_subset_1(sK47(k2_xboole_0(X0,k5_finsub_1(sK205))),k2_xboole_0(X0,k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_328348,c_331168]) ).
tcf(c_342019,plain,
! [X0: $i] : r2_hidden(sK47(k2_xboole_0(X0,k5_finsub_1(sK205))),k2_xboole_0(X0,k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_326624,c_331168]) ).
tcf(c_342038,plain,
! [X0: $i] : m1_subset_1(sK47(k2_tarski(X0,k5_finsub_1(sK205))),k2_tarski(X0,k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_328348,c_331169]) ).
tcf(c_342039,plain,
! [X0: $i] : r2_hidden(sK47(k2_tarski(X0,k5_finsub_1(sK205))),k2_tarski(X0,k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_326624,c_331169]) ).
tcf(c_342040,plain,
! [X0: $i] : ~ v1_xboole_0(k2_tarski(X0,k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_326591,c_331169]) ).
tcf(c_342044,plain,
! [X0: $i] : m1_subset_1(sK47(k2_tarski(k5_finsub_1(sK205),X0)),k2_tarski(k5_finsub_1(sK205),X0)),
inference(superposition,[status(thm)],[c_328348,c_331186]) ).
tcf(c_342045,plain,
! [X0: $i] : r2_hidden(sK47(k2_tarski(k5_finsub_1(sK205),X0)),k2_tarski(k5_finsub_1(sK205),X0)),
inference(superposition,[status(thm)],[c_326624,c_331186]) ).
tcf(c_342046,plain,
! [X0: $i] : ~ v1_xboole_0(k2_tarski(k5_finsub_1(sK205),X0)),
inference(superposition,[status(thm)],[c_326591,c_331186]) ).
tcf(c_342050,plain,
! [X0: $i] : m1_subset_1(sK47(k2_xboole_0(k5_finsub_1(sK205),X0)),k2_xboole_0(k5_finsub_1(sK205),X0)),
inference(superposition,[status(thm)],[c_328348,c_331194]) ).
tcf(c_342051,plain,
! [X0: $i] : r2_hidden(sK47(k2_xboole_0(k5_finsub_1(sK205),X0)),k2_xboole_0(k5_finsub_1(sK205),X0)),
inference(superposition,[status(thm)],[c_326624,c_331194]) ).
tcf(c_342069,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK39(X0),k1_relat_1(sK39(X0))) = sK39(X0) ) ),
inference(superposition,[status(thm)],[c_149,c_2261]) ).
tcf(c_342070,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK38(X0),k1_relat_1(sK38(X0))) = sK38(X0) ) ),
inference(superposition,[status(thm)],[c_151,c_2261]) ).
tcf(c_342071,plain,
k7_relat_1(np__0,k1_relat_1(np__0)) = np__0,
inference(superposition,[status(thm)],[c_2204,c_2261]) ).
tcf(c_342072,plain,
k7_relat_1(sK44,k1_relat_1(sK44)) = sK44,
inference(superposition,[status(thm)],[c_174,c_2261]) ).
tcf(c_342073,plain,
k7_relat_1(sK45,k1_relat_1(sK45)) = sK45,
inference(superposition,[status(thm)],[c_177,c_2261]) ).
tcf(c_342074,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_225,c_2261]) ).
tcf(c_342075,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK58(X0,X1),k1_relat_1(sK58(X0,X1))) = sK58(X0,X1) ) ),
inference(superposition,[status(thm)],[c_244,c_2261]) ).
tcf(c_342076,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK89(X0,X1),k1_relat_1(sK89(X0,X1))) = sK89(X0,X1) ) ),
inference(superposition,[status(thm)],[c_407,c_2261]) ).
tcf(c_342077,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_434,c_2261]) ).
tcf(c_342078,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_476,c_2261]) ).
tcf(c_342079,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_551,c_2261]) ).
tcf(c_342080,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_792,c_2261]) ).
tcf(c_342081,plain,
k7_relat_1(sK205,k1_relat_1(sK205)) = sK205,
inference(superposition,[status(thm)],[c_841,c_2261]) ).
tcf(c_342082,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)),k1_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)))) = k4_xboole_0(X1,k4_xboole_0(X1,X0)) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_925,c_2261]) ).
tcf(c_342083,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK237(X0,X1),k1_relat_1(sK237(X0,X1))) = sK237(X0,X1),
inference(superposition,[status(thm)],[c_1053,c_2261]) ).
tcf(c_342084,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK238(X0,X1),k1_relat_1(sK238(X0,X1))) = sK238(X0,X1),
inference(superposition,[status(thm)],[c_1057,c_2261]) ).
tcf(c_342085,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_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1291,c_2261]) ).
tcf(c_342086,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_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1289,c_2261]) ).
tcf(c_342087,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_1262,c_2261]) ).
tcf(c_342090,plain,
k7_relat_1(sK293,k1_relat_1(sK293)) = sK293,
inference(superposition,[status(thm)],[c_1365,c_2261]) ).
tcf(c_342091,plain,
! [X0: $i] :
( ( k7_relat_1(sK412(X0),k1_relat_1(sK412(X0))) = sK412(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2196,c_2261]) ).
tcf(c_342092,plain,
k7_relat_1(sK413,k1_relat_1(sK413)) = sK413,
inference(superposition,[status(thm)],[c_2208,c_2261]) ).
tcf(c_342093,plain,
! [X0: $i] : k7_relat_1(sK414(X0),k1_relat_1(sK414(X0))) = sK414(X0),
inference(superposition,[status(thm)],[c_2213,c_2261]) ).
tcf(c_342094,plain,
k7_relat_1(sK415,k1_relat_1(sK415)) = sK415,
inference(superposition,[status(thm)],[c_2218,c_2261]) ).
tcf(c_342095,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_2240,c_2261]) ).
tcf(c_342096,plain,
! [X0: $i] :
( ( k7_relat_1(sK29(k5_finsub_1(X0)),k1_relat_1(sK29(k5_finsub_1(X0)))) = sK29(k5_finsub_1(X0)) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329107,c_2261]) ).
tcf(c_342097,plain,
! [X0: $i] :
( ( k7_relat_1(sK29(k1_zfmisc_1(X0)),k1_relat_1(sK29(k1_zfmisc_1(X0)))) = sK29(k1_zfmisc_1(X0)) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329122,c_2261]) ).
tcf(c_342098,plain,
! [X0: $i] :
( ( k7_relat_1(sK47(k1_zfmisc_1(X0)),k1_relat_1(sK47(k1_zfmisc_1(X0)))) = sK47(k1_zfmisc_1(X0)) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329129,c_2261]) ).
tcf(c_342099,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK29(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_relat_1(sK29(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) = sK29(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(superposition,[status(thm)],[c_329799,c_2261]) ).
tcf(c_342100,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK47(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_relat_1(sK47(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) = sK47(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(superposition,[status(thm)],[c_329821,c_2261]) ).
tcf(c_342101,plain,
! [X0: $i] :
( ( k7_relat_1(sK29(X0),k1_relat_1(sK29(X0))) = sK29(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329968,c_2261]) ).
tcf(c_342102,plain,
k7_relat_1(sK47(k5_finsub_1(sK205)),k1_relat_1(sK47(k5_finsub_1(sK205)))) = sK47(k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_331281,c_2261]) ).
tcf(c_342103,plain,
k7_relat_1(sK53(sK205),k1_relat_1(sK53(sK205))) = sK53(sK205),
inference(superposition,[status(thm)],[c_331354,c_2261]) ).
tcf(c_342104,plain,
k7_relat_1(sK210(sK205),k1_relat_1(sK210(sK205))) = sK210(sK205),
inference(superposition,[status(thm)],[c_331368,c_2261]) ).
tcf(c_342105,plain,
k7_relat_1(sK211(sK205),k1_relat_1(sK211(sK205))) = sK211(sK205),
inference(superposition,[status(thm)],[c_331382,c_2261]) ).
tcf(c_342106,plain,
( ( k7_relat_1(sK53(sK212),k1_relat_1(sK53(sK212))) = sK53(sK212) )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331943,c_2261]) ).
tcf(c_342107,plain,
( ( k7_relat_1(sK210(sK212),k1_relat_1(sK210(sK212))) = sK210(sK212) )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331958,c_2261]) ).
tcf(c_342108,plain,
( ( k7_relat_1(sK211(sK212),k1_relat_1(sK211(sK212))) = sK211(sK212) )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331973,c_2261]) ).
tcf(c_342109,plain,
k7_relat_1(sK47(k5_finsub_1(sK413)),k1_relat_1(sK47(k5_finsub_1(sK413)))) = sK47(k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_333642,c_2261]) ).
tcf(c_342110,plain,
k7_relat_1(sK53(sK413),k1_relat_1(sK53(sK413))) = sK53(sK413),
inference(superposition,[status(thm)],[c_334400,c_2261]) ).
tcf(c_342111,plain,
k7_relat_1(sK210(sK413),k1_relat_1(sK210(sK413))) = sK210(sK413),
inference(superposition,[status(thm)],[c_334438,c_2261]) ).
tcf(c_342112,plain,
k7_relat_1(sK211(sK413),k1_relat_1(sK211(sK413))) = sK211(sK413),
inference(superposition,[status(thm)],[c_334466,c_2261]) ).
tcf(c_342113,plain,
! [X0: $i] : k7_relat_1(sK272(X0,X0),k1_relat_1(sK272(X0,X0))) = sK272(X0,X0),
inference(superposition,[status(thm)],[c_339485,c_2261]) ).
tcf(c_342114,plain,
! [X0: $i] : k7_relat_1(sK272(np__0,X0),k1_relat_1(sK272(np__0,X0))) = sK272(np__0,X0),
inference(superposition,[status(thm)],[c_339495,c_2261]) ).
tcf(c_342115,plain,
! [X0: $i] : k7_relat_1(sK273(X0,X0),k1_relat_1(sK273(X0,X0))) = sK273(X0,X0),
inference(superposition,[status(thm)],[c_339538,c_2261]) ).
tcf(c_342116,plain,
! [X0: $i] : k7_relat_1(sK273(np__0,X0),k1_relat_1(sK273(np__0,X0))) = sK273(np__0,X0),
inference(superposition,[status(thm)],[c_339548,c_2261]) ).
tcf(c_342117,plain,
k7_relat_1(sK29(k5_finsub_1(sK205)),k1_relat_1(sK29(k5_finsub_1(sK205)))) = sK29(k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_340583,c_2261]) ).
tcf(c_342118,plain,
k7_relat_1(sK29(k5_finsub_1(sK413)),k1_relat_1(sK29(k5_finsub_1(sK413)))) = sK29(k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_340580,c_2261]) ).
tcf(c_342119,plain,
k7_relat_1(sK74(k5_finsub_1(np__0)),k1_relat_1(sK74(k5_finsub_1(np__0)))) = sK74(k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_340972,c_2261]) ).
tcf(c_342120,plain,
k7_relat_1(sK75(k5_finsub_1(np__0)),k1_relat_1(sK75(k5_finsub_1(np__0)))) = sK75(k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_340971,c_2261]) ).
tcf(c_342121,plain,
k7_relat_1(sK25(k5_finsub_1(sK205),np__0),k1_relat_1(sK25(k5_finsub_1(sK205),np__0))) = sK25(k5_finsub_1(sK205),np__0),
inference(superposition,[status(thm)],[c_334944,c_2261]) ).
tcf(c_342122,plain,
k7_relat_1(sK25(k5_finsub_1(sK413),np__0),k1_relat_1(sK25(k5_finsub_1(sK413),np__0))) = sK25(k5_finsub_1(sK413),np__0),
inference(superposition,[status(thm)],[c_337187,c_2261]) ).
tcf(c_342262,plain,
( r1_tarski(k1_relat_1(np__0),k1_relat_1(np__0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_2248,c_2268]) ).
tcf(c_342263,plain,
( r1_tarski(k1_relat_1(np__0),k1_relat_1(sK44))
| ~ v1_relat_1(sK44) ),
inference(superposition,[status(thm)],[c_334220,c_2268]) ).
tcf(c_342264,plain,
( r1_tarski(k1_relat_1(np__0),k1_relat_1(sK45))
| ~ v1_relat_1(sK45) ),
inference(superposition,[status(thm)],[c_334221,c_2268]) ).
tcf(c_342265,plain,
( r1_tarski(k1_relat_1(np__0),k1_relat_1(sK205))
| ~ v1_relat_1(sK205) ),
inference(superposition,[status(thm)],[c_334228,c_2268]) ).
tcf(c_342266,plain,
( r1_tarski(k1_relat_1(np__0),k1_relat_1(sK293))
| ~ v1_relat_1(sK293) ),
inference(superposition,[status(thm)],[c_334234,c_2268]) ).
tcf(c_342267,plain,
( r1_tarski(k1_relat_1(np__0),k1_relat_1(sK413))
| ~ v1_relat_1(sK413) ),
inference(superposition,[status(thm)],[c_334236,c_2268]) ).
tcf(c_342268,plain,
( r1_tarski(k1_relat_1(np__0),k1_relat_1(sK415))
| ~ v1_relat_1(sK415) ),
inference(superposition,[status(thm)],[c_334238,c_2268]) ).
tcf(c_342269,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(k7_relat_1(sK38(X0),X1)),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(sK38(X0)) ),
inference(superposition,[status(thm)],[c_147,c_2268]) ).
tcf(c_342270,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(k7_relat_1(sK39(X0),X1)),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(sK39(X0)) ),
inference(superposition,[status(thm)],[c_148,c_2268]) ).
tcf(c_342271,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_426,c_2268]) ).
tcf(c_342272,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_2268,c_817]) ).
tcf(c_342273,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_2268,c_513]) ).
tcf(c_342274,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_2268,c_2460]) ).
tcf(c_342275,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_2268,c_872]) ).
tcf(c_342276,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_2268,c_70]) ).
tcf(c_342277,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_2268,c_69]) ).
tcf(c_342278,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_relat_1(k7_relat_1(X1,X2)))
| m1_subset_1(sK25(X0,k1_relat_1(k7_relat_1(X1,X2))),X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k1_relat_1(X1)) ),
inference(superposition,[status(thm)],[c_2268,c_97752]) ).
tcf(c_342300,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_342273,c_521,c_524]) ).
tcf(c_342328,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,k2_xboole_0(X0,X1))
| ( X0 != np__0 ) ),
inference(superposition,[status(thm)],[c_492,c_2409]) ).
tcf(c_342329,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_498,c_2409]) ).
tcf(c_342332,plain,
! [X0: $i] :
( r1_xboole_0(X0,X0)
| ( X0 != np__0 ) ),
inference(superposition,[status(thm)],[c_30376,c_2409]) ).
tcf(c_342333,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X1))
| ( k2_tarski(X0,X0) != np__0 ) ),
inference(superposition,[status(thm)],[c_1422,c_2409]) ).
tcf(c_342334,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X0))
| ( k2_tarski(X0,X0) != np__0 ) ),
inference(superposition,[status(thm)],[c_1382,c_2409]) ).
tcf(c_342335,plain,
( r1_xboole_0(k5_numbers,k1_numbers)
| ( np__0 != k5_numbers ) ),
inference(superposition,[status(thm)],[c_337563,c_2409]) ).
tcf(c_342360,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK47(X0),X0)
| ( k4_xboole_0(X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_330860,c_2410]) ).
tcf(c_342361,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK47(X0),X0)
| ( k4_xboole_0(X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_328923,c_2410]) ).
tcf(c_342362,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_328924,c_2410]) ).
tcf(c_342363,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(sK437(X0),X0) = sK437(X0) ) ),
inference(superposition,[status(thm)],[c_2389,c_2410]) ).
tcf(c_342365,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_2407,c_2410]) ).
tcf(c_342366,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_2413,c_2410]) ).
tcf(c_342367,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_2411,c_2410]) ).
tcf(c_342368,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k4_xboole_0(X0,X1),X1) = k4_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_2414,c_2410]) ).
tcf(c_342369,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK47(X1),X1)
| ( k4_xboole_0(X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_328946,c_2410]) ).
tcf(c_342370,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X1,X0) = X1 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_328947,c_2410]) ).
tcf(c_342373,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k4_xboole_0(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_325973,c_2410]) ).
tcf(c_342374,plain,
! [X0: $i] :
( r2_hidden(np__0,X0)
| ( k4_xboole_0(k5_finsub_1(np__0),X0) = k5_finsub_1(np__0) ) ),
inference(superposition,[status(thm)],[c_328817,c_2410]) ).
tcf(c_342375,plain,
! [X0: $i] :
( r2_hidden(np__1,X0)
| ( k4_xboole_0(k2_finseq_1(np__1),X0) = k2_finseq_1(np__1) ) ),
inference(superposition,[status(thm)],[c_328818,c_2410]) ).
tcf(c_342376,plain,
! [X0: $i] :
( r2_hidden(np__0,X0)
| ( k4_xboole_0(X0,k5_finsub_1(np__0)) = X0 ) ),
inference(superposition,[status(thm)],[c_330815,c_2410]) ).
tcf(c_342377,plain,
! [X0: $i] :
( r2_hidden(np__1,X0)
| ( k4_xboole_0(X0,k2_finseq_1(np__1)) = X0 ) ),
inference(superposition,[status(thm)],[c_330824,c_2410]) ).
tcf(c_342424,plain,
v1_relat_1(k4_xboole_0(np__0,np__0)),
inference(global_subsumption_just,[status(thm)],[c_331318,c_2204,c_2654]) ).
tcf(c_342467,plain,
! [X0: $i] : m1_subset_1(sK47(k2_xboole_0(X0,k5_finsub_1(sK212))),k2_xboole_0(X0,k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_328348,c_331577]) ).
tcf(c_342468,plain,
! [X0: $i] : r2_hidden(sK47(k2_xboole_0(X0,k5_finsub_1(sK212))),k2_xboole_0(X0,k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_326624,c_331577]) ).
tcf(c_342474,plain,
! [X0: $i] : m1_subset_1(sK47(k2_tarski(X0,k5_finsub_1(sK212))),k2_tarski(X0,k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_328348,c_331578]) ).
tcf(c_342475,plain,
! [X0: $i] : r2_hidden(sK47(k2_tarski(X0,k5_finsub_1(sK212))),k2_tarski(X0,k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_326624,c_331578]) ).
tcf(c_342476,plain,
! [X0: $i] : ~ v1_xboole_0(k2_tarski(X0,k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_326591,c_331578]) ).
tcf(c_342498,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_90,c_2426]) ).
tcf(c_342500,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_xboole_0(X0,X0) ),
inference(superposition,[status(thm)],[c_101,c_2426]) ).
tcf(c_342501,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_263,c_2426]) ).
tcf(c_342502,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_281,c_2426]) ).
tcf(c_342503,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_relat_1(sK89(X0,X1)))
| ( X0 = np__0 )
| ~ r1_xboole_0(k2_relat_1(sK89(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_406,c_2426]) ).
tcf(c_342504,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_430,c_2426]) ).
tcf(c_342505,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_463,c_2426]) ).
tcf(c_342506,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_1063,c_2426]) ).
tcf(c_342507,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_483,c_2426]) ).
tcf(c_342508,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_485,c_2426]) ).
tcf(c_342509,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| ~ r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k2_xboole_0(X0,X2)) ),
inference(superposition,[status(thm)],[c_502,c_2426]) ).
tcf(c_342510,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_515,c_2426]) ).
tcf(c_342511,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ r1_xboole_0(X0,k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_518,c_2426]) ).
tcf(c_342512,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_812,c_2426]) ).
tcf(c_342513,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_819,c_2426]) ).
tcf(c_342514,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_920,c_2426]) ).
tcf(c_342515,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_922,c_2426]) ).
tcf(c_342516,plain,
( v1_xboole_0(k5_numbers)
| ~ r1_xboole_0(k5_numbers,k1_numbers) ),
inference(superposition,[status(thm)],[c_1091,c_2426]) ).
tcf(c_342519,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_1307,c_2426]) ).
tcf(c_342520,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_1425,c_2426]) ).
tcf(c_342521,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_1408,c_2426]) ).
tcf(c_342522,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_2268,c_2426]) ).
tcf(c_342523,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_2260,c_2426]) ).
tcf(c_342524,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_2269,c_2426]) ).
tcf(c_342525,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_2270,c_2426]) ).
tcf(c_342526,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_2325,c_2426]) ).
tcf(c_342527,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_2367,c_2426]) ).
tcf(c_342528,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_xboole_0(k7_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_xboole_0(k7_lopclset(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_326375,c_2426]) ).
tcf(c_342529,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK53(X0))
| ~ r1_xboole_0(sK53(X0),X0) ),
inference(superposition,[status(thm)],[c_326377,c_2426]) ).
tcf(c_342530,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ r1_xboole_0(X0,k2_xboole_0(X1,X0)) ),
inference(superposition,[status(thm)],[c_326993,c_2426]) ).
tcf(c_342531,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK210(X0))
| ~ r1_xboole_0(sK210(X0),X0) ),
inference(superposition,[status(thm)],[c_326378,c_2426]) ).
tcf(c_342532,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK211(X0))
| ~ r1_xboole_0(sK211(X0),X0) ),
inference(superposition,[status(thm)],[c_326379,c_2426]) ).
tcf(c_342533,plain,
! [X0: $i] :
( v1_xboole_0(k2_finseq_1(X0))
| ~ v4_ordinal2(X0)
| ~ r1_xboole_0(k2_finseq_1(X0),k5_numbers) ),
inference(superposition,[status(thm)],[c_328268,c_2426]) ).
tcf(c_342534,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(k4_xboole_0(X0,X1)))
| ~ r1_xboole_0(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))) ),
inference(superposition,[status(thm)],[c_33271,c_2426]) ).
tcf(c_342535,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))))
| ~ r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))),k2_xboole_0(X2,X1)) ),
inference(superposition,[status(thm)],[c_34474,c_2426]) ).
tcf(c_342536,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| v1_xboole_0(sK26(k5_finsub_1(X0),X1,X2))
| ~ r1_tarski(X2,k5_finsub_1(X0))
| ~ r1_tarski(X1,k5_finsub_1(X0))
| ~ r1_xboole_0(sK26(k5_finsub_1(X0),X1,X2),X0) ),
inference(superposition,[status(thm)],[c_323884,c_2426]) ).
tcf(c_342537,plain,
! [X0: $i] :
( v1_xboole_0(sK29(k5_finsub_1(X0)))
| ~ r1_xboole_0(sK29(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_323947,c_2426]) ).
tcf(c_342538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X3,X2))))
| v1_xboole_0(sK25(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3)))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X3))
| ~ r1_xboole_0(sK25(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3)))),X0) ),
inference(superposition,[status(thm)],[c_327049,c_2426]) ).
tcf(c_342540,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| ~ r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_324338,c_2426]) ).
tcf(c_342541,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK207(X0))
| ~ r1_xboole_0(sK207(X0),X0) ),
inference(superposition,[status(thm)],[c_325276,c_2426]) ).
tcf(c_342542,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(np__0))
| ~ r1_xboole_0(k5_finsub_1(np__0),k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_325482,c_2426]) ).
tcf(c_342543,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(np__0))
| ~ r1_xboole_0(k5_finsub_1(np__0),k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_325488,c_2426]) ).
tcf(c_342544,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_325615,c_2426]) ).
tcf(c_342545,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_325616,c_2426]) ).
tcf(c_342546,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_325618,c_2426]) ).
tcf(c_342547,plain,
( v1_xboole_0(k2_tarski(np__2,np__2))
| ~ r1_xboole_0(k2_tarski(np__2,np__2),k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_325630,c_2426]) ).
tcf(c_342548,plain,
( v1_xboole_0(k2_finseq_1(np__1))
| ~ r1_xboole_0(k2_finseq_1(np__1),k2_finseq_1(np__2)) ),
inference(superposition,[status(thm)],[c_325633,c_2426]) ).
tcf(c_342549,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_xboole_0(X0,X1))
| ~ r1_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X1,X0)) ),
inference(superposition,[status(thm)],[c_326816,c_2426]) ).
tcf(c_342550,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| v1_xboole_0(sK25(k5_finsub_1(X0),X1))
| ~ r1_xboole_0(sK25(k5_finsub_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_328506,c_2426]) ).
tcf(c_342551,plain,
! [X0: $i] :
( v1_xboole_0(sK29(k1_zfmisc_1(X0)))
| ~ r1_xboole_0(sK29(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_326374,c_2426]) ).
tcf(c_342552,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| v1_xboole_0(sK26(k1_zfmisc_1(X0),X1,X2))
| ~ r1_tarski(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,k1_zfmisc_1(X0))
| ~ r1_xboole_0(sK26(k1_zfmisc_1(X0),X1,X2),X0) ),
inference(superposition,[status(thm)],[c_326381,c_2426]) ).
tcf(c_342553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X3,X2))))
| v1_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3)))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X3,X2))
| ~ r1_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3)))),X0) ),
inference(superposition,[status(thm)],[c_328021,c_2426]) ).
tcf(c_342554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3))))
| v1_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3)))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X3,X2))
| ~ r1_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3)))),X0) ),
inference(superposition,[status(thm)],[c_326382,c_2426]) ).
tcf(c_342555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X3,X2))))
| v1_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3)))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,X3))
| ~ r1_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3)))),X0) ),
inference(superposition,[status(thm)],[c_327861,c_2426]) ).
tcf(c_342556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| r1_tarski(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X2,X3))
| v1_xboole_0(sK25(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X2,X3)))
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_xboole_0(sK25(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X2,X3)),X0) ),
inference(superposition,[status(thm)],[c_326385,c_2426]) ).
tcf(c_342557,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| v1_xboole_0(sK28(k1_zfmisc_1(X0),X1))
| ~ r1_xboole_0(sK28(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_326593,c_2426]) ).
tcf(c_342558,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| v1_xboole_0(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)))
| ~ r1_xboole_0(sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)),X0) ),
inference(superposition,[status(thm)],[c_330258,c_2426]) ).
tcf(c_342559,plain,
! [X0: $i] :
( v1_xboole_0(sK47(k1_zfmisc_1(X0)))
| ~ r1_xboole_0(sK47(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_328444,c_2426]) ).
tcf(c_342560,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK47(k5_finsub_1(X0)))
| r1_tarski(k5_finsub_1(X0),X1)
| ~ r1_xboole_0(sK47(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_330228,c_2426]) ).
tcf(c_342561,plain,
! [X0: $i] :
( v1_xboole_0(sK25(k1_zfmisc_1(X0),np__0))
| ~ r1_xboole_0(sK25(k1_zfmisc_1(X0),np__0),X0) ),
inference(superposition,[status(thm)],[c_328139,c_2426]) ).
tcf(c_342562,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| v1_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,X2))))
| ~ r1_tarski(k1_zfmisc_1(X0),X2)
| ~ r1_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,X2))),X0) ),
inference(superposition,[status(thm)],[c_331985,c_2426]) ).
tcf(c_342563,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| v1_xboole_0(sK28(k5_finsub_1(np__0),X0))
| ~ r1_xboole_0(sK28(k5_finsub_1(np__0),X0),np__0) ),
inference(superposition,[status(thm)],[c_328382,c_2426]) ).
tcf(c_342564,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(np__0))
| ~ r1_xboole_0(k5_finsub_1(np__0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_329271,c_2426]) ).
tcf(c_342565,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X0,np__0)
| ~ r1_xboole_0(k1_zfmisc_1(X0),k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_329264,c_2426]) ).
tcf(c_342566,plain,
! [X0: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X0))
| ~ r1_xboole_0(k2_zfmisc_1(X0,X0),k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_330378,c_2426]) ).
tcf(c_342567,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| ~ r1_xboole_0(X0,k2_xboole_0(X1,k2_xboole_0(X0,X2))) ),
inference(superposition,[status(thm)],[c_330474,c_2426]) ).
tcf(c_342568,plain,
( v1_xboole_0(k5_finsub_1(np__0))
| ~ r1_xboole_0(k5_finsub_1(np__0),k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331184,c_2426]) ).
tcf(c_342569,plain,
( v1_xboole_0(sK47(k5_finsub_1(sK205)))
| ~ r1_xboole_0(sK47(k5_finsub_1(sK205)),sK205) ),
inference(superposition,[status(thm)],[c_331190,c_2426]) ).
tcf(c_342570,plain,
( v1_xboole_0(k2_tarski(sK205,sK205))
| ~ r1_xboole_0(k2_tarski(sK205,sK205),k5_finsub_1(sK205)) ),
inference(superposition,[status(thm)],[c_331212,c_2426]) ).
tcf(c_342571,plain,
( v1_xboole_0(sK53(sK205))
| ~ r1_xboole_0(sK53(sK205),sK205) ),
inference(superposition,[status(thm)],[c_331347,c_2426]) ).
tcf(c_342572,plain,
( v1_xboole_0(sK210(sK205))
| ~ r1_xboole_0(sK210(sK205),sK205) ),
inference(superposition,[status(thm)],[c_331361,c_2426]) ).
tcf(c_342573,plain,
( v1_xboole_0(sK211(sK205))
| ~ r1_xboole_0(sK211(sK205),sK205) ),
inference(superposition,[status(thm)],[c_331375,c_2426]) ).
tcf(c_342574,plain,
( v1_xboole_0(k5_finsub_1(np__0))
| ~ r1_xboole_0(k5_finsub_1(np__0),k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331593,c_2426]) ).
tcf(c_342575,plain,
( v1_xboole_0(sK47(k5_finsub_1(sK212)))
| ~ r1_xboole_0(sK47(k5_finsub_1(sK212)),sK212) ),
inference(superposition,[status(thm)],[c_331599,c_2426]) ).
tcf(c_342576,plain,
( v1_xboole_0(k2_tarski(sK212,sK212))
| ~ r1_xboole_0(k2_tarski(sK212,sK212),k5_finsub_1(sK212)) ),
inference(superposition,[status(thm)],[c_331621,c_2426]) ).
tcf(c_342577,plain,
( v1_xboole_0(sK53(sK212))
| ~ r1_xboole_0(sK53(sK212),sK212) ),
inference(superposition,[status(thm)],[c_331939,c_2426]) ).
tcf(c_342578,plain,
( v1_xboole_0(sK210(sK212))
| ~ r1_xboole_0(sK210(sK212),sK212) ),
inference(superposition,[status(thm)],[c_331954,c_2426]) ).
tcf(c_342579,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2))
| v1_xboole_0(sK25(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,X1))
| ~ r1_xboole_0(sK25(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)),X0) ),
inference(superposition,[status(thm)],[c_331819,c_2426]) ).
tcf(c_342580,plain,
( v1_xboole_0(sK211(sK212))
| ~ r1_xboole_0(sK211(sK212),sK212) ),
inference(superposition,[status(thm)],[c_331969,c_2426]) ).
tcf(c_342581,plain,
( v1_xboole_0(k5_finsub_1(np__0))
| ~ r1_xboole_0(k5_finsub_1(np__0),k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333098,c_2426]) ).
tcf(c_342582,plain,
( v1_xboole_0(sK47(k5_finsub_1(sK413)))
| ~ r1_xboole_0(sK47(k5_finsub_1(sK413)),sK413) ),
inference(superposition,[status(thm)],[c_333104,c_2426]) ).
tcf(c_342583,plain,
( v1_xboole_0(k2_tarski(sK413,sK413))
| ~ r1_xboole_0(k2_tarski(sK413,sK413),k5_finsub_1(sK413)) ),
inference(superposition,[status(thm)],[c_333125,c_2426]) ).
tcf(c_342584,plain,
( v1_xboole_0(sK53(sK413))
| ~ r1_xboole_0(sK53(sK413),sK413) ),
inference(superposition,[status(thm)],[c_334147,c_2426]) ).
tcf(c_342585,plain,
( v1_xboole_0(sK210(sK413))
| ~ r1_xboole_0(sK210(sK413),sK413) ),
inference(superposition,[status(thm)],[c_334414,c_2426]) ).
tcf(c_342586,plain,
( v1_xboole_0(sK211(sK413))
| ~ r1_xboole_0(sK211(sK413),sK413) ),
inference(superposition,[status(thm)],[c_334452,c_2426]) ).
tcf(c_342587,plain,
! [X0: $i] :
( v1_xboole_0(k5_numbers)
| ~ r1_xboole_0(k5_numbers,k2_xboole_0(X0,k1_numbers)) ),
inference(superposition,[status(thm)],[c_341107,c_2426]) ).
tcf(c_342588,plain,
! [X0: $i] :
( v1_xboole_0(k5_numbers)
| ~ r1_xboole_0(k5_numbers,k2_xboole_0(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_341360,c_2426]) ).
tcf(c_342589,plain,
( v1_xboole_0(sK25(k5_finsub_1(sK413),np__0))
| ~ r1_xboole_0(sK25(k5_finsub_1(sK413),np__0),sK413) ),
inference(superposition,[status(thm)],[c_333111,c_2426]) ).
tcf(c_342590,plain,
( v1_xboole_0(sK25(k5_finsub_1(sK212),np__0))
| ~ r1_xboole_0(sK25(k5_finsub_1(sK212),np__0),sK212) ),
inference(superposition,[status(thm)],[c_331606,c_2426]) ).
tcf(c_342591,plain,
( v1_xboole_0(sK25(k5_finsub_1(sK205),np__0))
| ~ r1_xboole_0(sK25(k5_finsub_1(sK205),np__0),sK205) ),
inference(superposition,[status(thm)],[c_331197,c_2426]) ).
tcf(c_342592,plain,
~ r1_xboole_0(k5_numbers,k1_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_342516,c_340084]) ).
tcf(c_342595,plain,
! [X0: $i] : ~ r1_xboole_0(k5_numbers,k2_xboole_0(k1_numbers,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_342588,c_340084]) ).
tcf(c_342596,plain,
! [X0: $i] : ~ r1_xboole_0(k5_numbers,k2_xboole_0(X0,k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_342587,c_340084]) ).
tcf(c_342619,plain,
~ r1_xboole_0(k5_finsub_1(np__0),k5_finsub_1(sK413)),
inference(forward_subsumption_resolution,[status(thm)],[c_342581,c_324876]) ).
tcf(c_342620,plain,
~ r1_xboole_0(k5_finsub_1(np__0),k5_finsub_1(sK212)),
inference(forward_subsumption_resolution,[status(thm)],[c_342574,c_324876]) ).
tcf(c_342621,plain,
~ r1_xboole_0(k5_finsub_1(np__0),k5_finsub_1(sK205)),
inference(forward_subsumption_resolution,[status(thm)],[c_342568,c_324876]) ).
tcf(c_342622,plain,
! [X0: $i] : ~ r1_xboole_0(k5_finsub_1(np__0),k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_342564,c_324876]) ).
tcf(c_342623,plain,
~ r1_xboole_0(k2_finseq_1(np__1),k2_finseq_1(np__2)),
inference(forward_subsumption_resolution,[status(thm)],[c_342548,c_325612]) ).
tcf(c_342624,plain,
~ r1_xboole_0(k2_finseq_1(np__1),k1_zfmisc_1(np__1)),
inference(forward_subsumption_resolution,[status(thm)],[c_342546,c_325612]) ).
tcf(c_342639,plain,
! [X0: $i] : ~ r1_xboole_0(k2_finseq_1(np__1),k2_tarski(X0,np__1)),
inference(forward_subsumption_resolution,[status(thm)],[c_342545,c_325612]) ).
tcf(c_342640,plain,
! [X0: $i] : ~ r1_xboole_0(k2_finseq_1(np__1),k2_tarski(np__1,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_342544,c_325612]) ).
tcf(c_342641,plain,
! [X0: $i] : ~ r1_xboole_0(k5_finsub_1(np__0),k2_tarski(np__0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_342543,c_324876]) ).
tcf(c_342642,plain,
! [X0: $i] : ~ r1_xboole_0(k5_finsub_1(np__0),k2_tarski(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_342542,c_324876]) ).
tcf(c_342659,plain,
~ r1_xboole_0(k2_tarski(sK413,sK413),k5_finsub_1(sK413)),
inference(forward_subsumption_resolution,[status(thm)],[c_342583,c_1377]) ).
tcf(c_342660,plain,
~ r1_xboole_0(k2_tarski(sK212,sK212),k5_finsub_1(sK212)),
inference(forward_subsumption_resolution,[status(thm)],[c_342576,c_1377]) ).
tcf(c_342661,plain,
~ r1_xboole_0(k2_tarski(sK205,sK205),k5_finsub_1(sK205)),
inference(forward_subsumption_resolution,[status(thm)],[c_342570,c_1377]) ).
tcf(c_342662,plain,
~ r1_xboole_0(k2_tarski(np__2,np__2),k2_finseq_1(np__2)),
inference(forward_subsumption_resolution,[status(thm)],[c_342547,c_1377]) ).
tcf(c_342666,plain,
! [X0: $i] : ~ r1_xboole_0(k2_tarski(X0,X0),k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_342501,c_1377]) ).
tcf(c_342679,plain,
! [X0: $i,X1: $i] : ~ r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_342521,c_1377]) ).
tcf(c_342680,plain,
! [X0: $i,X1: $i] : ~ r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_342520,c_1377]) ).
tcf(c_342684,plain,
! [X0: $i] :
( ~ r1_tarski(X0,np__0)
| ~ r1_xboole_0(k1_zfmisc_1(X0),k5_finsub_1(np__0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_342565,c_213]) ).
tcf(c_342708,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_342498,c_213]) ).
tcf(c_342727,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X0,X1)
| ~ r1_xboole_0(k2_tarski(X0,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_342502,c_1377]) ).
tcf(c_342733,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| v1_xboole_0(sK28(k5_finsub_1(np__0),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_342563,c_2431]) ).
tcf(c_342753,plain,
! [X0: $i,X1: $i] : ~ r1_xboole_0(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)),k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(forward_subsumption_resolution,[status(thm)],[c_342508,c_328292]) ).
tcf(c_342756,plain,
! [X0: $i,X1: $i] : ~ r1_xboole_0(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),
inference(forward_subsumption_resolution,[status(thm)],[c_342534,c_213]) ).
tcf(c_342935,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_499,c_2479]) ).
tcf(c_342936,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_519,c_2479]) ).
tcf(c_342939,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X1,X0))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_524,c_2479]) ).
tcf(c_342940,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v3_membered(np__0)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_327052,c_2479]) ).
tcf(c_342966,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_499,c_2480]) ).
tcf(c_342967,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_519,c_2480]) ).
tcf(c_342970,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_xboole_0(X1,X0))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_524,c_2480]) ).
tcf(c_342971,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v3_membered(np__0)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_327052,c_2480]) ).
tcf(c_342998,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_499,c_2481]) ).
tcf(c_343002,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_xboole_0(X1,X0))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_524,c_2481]) ).
tcf(c_343014,plain,
m1_subset_1(sK47(k5_numbers),k5_numbers),
inference(superposition,[status(thm)],[c_330860,c_342592]) ).
tcf(c_343015,plain,
r2_hidden(sK47(k5_numbers),k5_numbers),
inference(superposition,[status(thm)],[c_328923,c_342592]) ).
tcf(c_343038,plain,
~ r2_hidden(k5_numbers,sK47(k5_numbers)),
inference(superposition,[status(thm)],[c_343015,c_196]) ).
tcf(c_343049,plain,
! [X0: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| r2_hidden(X0,k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_2395,c_342500]) ).
tcf(c_343050,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_2407,c_342500]) ).
tcf(c_343052,plain,
! [X0: $i] : v1_xboole_0(k4_xboole_0(X0,X0)),
inference(superposition,[status(thm)],[c_2411,c_342500]) ).
tcf(c_343067,plain,
! [X0: $i] : r2_hidden(sK47(k2_xboole_0(k1_numbers,X0)),k2_xboole_0(k1_numbers,X0)),
inference(superposition,[status(thm)],[c_328946,c_342595]) ).
tcf(c_343068,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(k1_numbers,X0)),
inference(superposition,[status(thm)],[c_328947,c_342595]) ).
tcf(c_343081,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(X0,k1_numbers)),
inference(superposition,[status(thm)],[c_524,c_343068]) ).
tcf(c_343097,plain,
! [X0: $i] : r2_hidden(sK47(k2_xboole_0(X0,k1_numbers)),k2_xboole_0(X0,k1_numbers)),
inference(superposition,[status(thm)],[c_328946,c_342596]) ).
tcf(c_343125,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X1),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X1,X0)))),
inference(superposition,[status(thm)],[c_499,c_330379]) ).
tcf(c_343126,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_zfmisc_1(k2_xboole_0(X0,X1),X0),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))),
inference(superposition,[status(thm)],[c_519,c_330379]) ).
tcf(c_343131,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X0),k1_zfmisc_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_31762,c_330379]) ).
tcf(c_343132,plain,
r1_tarski(k2_zfmisc_1(k1_numbers,k5_numbers),k1_zfmisc_1(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_336848,c_330379]) ).
tcf(c_343133,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(X1,X0)))) ),
inference(superposition,[status(thm)],[c_330379,c_2426]) ).
tcf(c_343134,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X1,X0)))) = np__0,
inference(superposition,[status(thm)],[c_330379,c_817]) ).
tcf(c_343135,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_zfmisc_1(X0,X1),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X1,X0)))) = k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X1,X0))),
inference(superposition,[status(thm)],[c_330379,c_513]) ).
tcf(c_343136,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_zfmisc_1(X1,X0))
| ~ v1_membered(k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))) ),
inference(superposition,[status(thm)],[c_330379,c_2460]) ).
tcf(c_343137,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_zfmisc_1(X1,X0))
| ~ v1_finset_1(k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))) ),
inference(superposition,[status(thm)],[c_330379,c_872]) ).
tcf(c_343138,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_zfmisc_1(X1,X0))
| ~ v1_relat_1(k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))) ),
inference(superposition,[status(thm)],[c_330379,c_70]) ).
tcf(c_343139,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1))),k2_zfmisc_1(X1,X0)),
inference(superposition,[status(thm)],[c_330379,c_69]) ).
tcf(c_343140,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_zfmisc_1(X2,X1))
| m1_subset_1(sK25(X0,k2_zfmisc_1(X2,X1)),X0)
| ~ r1_tarski(X0,k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X1,X2)))) ),
inference(superposition,[status(thm)],[c_330379,c_97752]) ).
tcf(c_343173,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_499,c_2482]) ).
tcf(c_343174,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_519,c_2482]) ).
tcf(c_343177,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X1,X0))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_524,c_2482]) ).
tcf(c_343178,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v2_membered(np__0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_327052,c_2482]) ).
tcf(c_343212,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_499,c_2483]) ).
tcf(c_343216,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_xboole_0(X1,X0))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_524,c_2483]) ).
tcf(c_343234,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_499,c_2484]) ).
tcf(c_343238,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_xboole_0(X1,X0))
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_524,c_2484]) ).
tcf(c_343256,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X1,X0))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_1429,c_2491]) ).
tcf(c_343258,plain,
( v1_membered(k2_finseq_1(np__2))
| ~ v1_xreal_0(np__2)
| ~ v1_xreal_0(np__1) ),
inference(superposition,[status(thm)],[c_1821,c_2491]) ).
tcf(c_343288,plain,
r2_hidden(sK47(k1_zfmisc_1(np__1)),k1_zfmisc_1(np__1)),
inference(superposition,[status(thm)],[c_328946,c_342624]) ).
tcf(c_343289,plain,
~ v1_xboole_0(k1_zfmisc_1(np__1)),
inference(superposition,[status(thm)],[c_328947,c_342624]) ).
tcf(c_343290,plain,
r2_hidden(np__1,k1_zfmisc_1(np__1)),
inference(superposition,[status(thm)],[c_328818,c_342624]) ).
tcf(c_343291,plain,
! [X0: $i] : m1_subset_1(sK47(k2_tarski(k5_finsub_1(sK212),X0)),k2_tarski(k5_finsub_1(sK212),X0)),
inference(superposition,[status(thm)],[c_328348,c_331595]) ).
tcf(c_343292,plain,
! [X0: $i] : r2_hidden(sK47(k2_tarski(k5_finsub_1(sK212),X0)),k2_tarski(k5_finsub_1(sK212),X0)),
inference(superposition,[status(thm)],[c_326624,c_331595]) ).
tcf(c_343293,plain,
! [X0: $i] : ~ v1_xboole_0(k2_tarski(k5_finsub_1(sK212),X0)),
inference(superposition,[status(thm)],[c_326591,c_331595]) ).
tcf(c_343297,plain,
! [X0: $i] : m1_subset_1(sK47(k2_xboole_0(k5_finsub_1(sK212),X0)),k2_xboole_0(k5_finsub_1(sK212),X0)),
inference(superposition,[status(thm)],[c_328348,c_331603]) ).
tcf(c_343298,plain,
! [X0: $i] : r2_hidden(sK47(k2_xboole_0(k5_finsub_1(sK212),X0)),k2_xboole_0(k5_finsub_1(sK212),X0)),
inference(superposition,[status(thm)],[c_326624,c_331603]) ).
tcf(c_343315,plain,
k2_finseq_1(np__2) != np__0,
inference(superposition,[status(thm)],[c_1821,c_331682]) ).
tcf(c_343330,plain,
! [X0: $i] : r2_hidden(np__1,k2_xboole_0(k2_finseq_1(np__2),X0)),
inference(superposition,[status(thm)],[c_1821,c_331699]) ).
tcf(c_343331,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(k2_xboole_0(k2_tarski(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_331699,c_2042]) ).
tcf(c_343332,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k2_xboole_0(k2_tarski(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_331699,c_1804]) ).
tcf(c_343333,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_xboole_0(k2_tarski(X0,X1),X2),X0),
inference(superposition,[status(thm)],[c_331699,c_196]) ).
tcf(c_343334,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(sK47(k2_xboole_0(k2_tarski(X0,X1),X2)),k2_xboole_0(k2_tarski(X0,X1),X2)),
inference(superposition,[status(thm)],[c_331699,c_192]) ).
tcf(c_343335,plain,
! [X0: $i,X1: $i,X2: $i] : ~ v1_xboole_0(k2_xboole_0(k2_tarski(X0,X1),X2)),
inference(superposition,[status(thm)],[c_331699,c_191]) ).
tcf(c_343336,plain,
! [X0: $i,X1: $i,X2: $i] : m1_subset_1(X0,k2_xboole_0(k2_tarski(X0,X1),X2)),
inference(superposition,[status(thm)],[c_331699,c_186]) ).
tcf(c_343337,plain,
! [X0: $i,X1: $i] : ~ v1_xreal_0(k2_xboole_0(k2_tarski(k1_numbers,X0),X1)),
inference(superposition,[status(thm)],[c_331699,c_326676]) ).
tcf(c_343355,plain,
! [X0: $i] : r2_hidden(np__1,k2_xboole_0(X0,k2_finseq_1(np__2))),
inference(superposition,[status(thm)],[c_524,c_343330]) ).
tcf(c_343357,plain,
! [X0: $i] :
( v4_ordinal2(np__1)
| ~ v5_membered(k2_xboole_0(k2_finseq_1(np__2),X0)) ),
inference(superposition,[status(thm)],[c_343330,c_2042]) ).
tcf(c_343358,plain,
! [X0: $i] :
( v1_xcmplx_0(np__1)
| ~ v1_membered(k2_xboole_0(k2_finseq_1(np__2),X0)) ),
inference(superposition,[status(thm)],[c_343330,c_1804]) ).
tcf(c_343359,plain,
! [X0: $i] : ~ r2_hidden(k2_xboole_0(k2_finseq_1(np__2),X0),np__1),
inference(superposition,[status(thm)],[c_343330,c_196]) ).
tcf(c_343360,plain,
! [X0: $i] : r2_hidden(sK47(k2_xboole_0(k2_finseq_1(np__2),X0)),k2_xboole_0(k2_finseq_1(np__2),X0)),
inference(superposition,[status(thm)],[c_343330,c_192]) ).
tcf(c_343361,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(k2_finseq_1(np__2),X0)),
inference(superposition,[status(thm)],[c_343330,c_191]) ).
tcf(c_343362,plain,
! [X0: $i] : m1_subset_1(np__1,k2_xboole_0(k2_finseq_1(np__2),X0)),
inference(superposition,[status(thm)],[c_343330,c_186]) ).
tcf(c_343375,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_zfmisc_1(k2_xboole_0(X0,X1),k4_xboole_0(X0,X1)),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))),
inference(superposition,[status(thm)],[c_498,c_330381]) ).
tcf(c_343376,plain,
r1_tarski(k2_zfmisc_1(np__0,np__0),k1_zfmisc_1(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_824,c_330381]) ).
tcf(c_343379,plain,
! [X0: $i] : r1_tarski(k2_zfmisc_1(k2_tarski(X0,X0),np__0),k1_zfmisc_1(k1_zfmisc_1(k2_tarski(X0,X0)))),
inference(superposition,[status(thm)],[c_1422,c_330381]) ).
tcf(c_343381,plain,
r1_tarski(k2_zfmisc_1(k5_numbers,np__0),k1_zfmisc_1(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_337563,c_330381]) ).
tcf(c_343382,plain,
! [X0: $i] : r1_tarski(k2_zfmisc_1(np__0,k4_xboole_0(np__0,X0)),k1_zfmisc_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_30123,c_330381]) ).
tcf(c_343383,plain,
! [X0: $i] : r1_tarski(k2_zfmisc_1(sK205,k4_xboole_0(sK205,X0)),k1_zfmisc_1(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_330894,c_330381]) ).
tcf(c_343384,plain,
! [X0: $i] : r1_tarski(k2_zfmisc_1(sK212,k4_xboole_0(sK212,X0)),k1_zfmisc_1(k5_finsub_1(sK212))),
inference(superposition,[status(thm)],[c_330900,c_330381]) ).
tcf(c_343385,plain,
! [X0: $i] : r1_tarski(k2_zfmisc_1(sK413,k4_xboole_0(sK413,X0)),k1_zfmisc_1(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_330901,c_330381]) ).
tcf(c_343386,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,k4_xboole_0(X0,X1)))
| ~ r1_xboole_0(k2_zfmisc_1(X0,k4_xboole_0(X0,X1)),k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_330381,c_2426]) ).
tcf(c_343387,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_zfmisc_1(X0,k4_xboole_0(X0,X1)),k1_zfmisc_1(k1_zfmisc_1(X0))) = np__0,
inference(superposition,[status(thm)],[c_330381,c_817]) ).
tcf(c_343388,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_zfmisc_1(X0,k4_xboole_0(X0,X1)),k1_zfmisc_1(k1_zfmisc_1(X0))) = k1_zfmisc_1(k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_330381,c_513]) ).
tcf(c_343389,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_zfmisc_1(X0,k4_xboole_0(X0,X1)))
| ~ v1_membered(k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_330381,c_2460]) ).
tcf(c_343390,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_zfmisc_1(X0,k4_xboole_0(X0,X1)))
| ~ v1_finset_1(k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_330381,c_872]) ).
tcf(c_343391,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_zfmisc_1(X0,k4_xboole_0(X0,X1)))
| ~ v1_relat_1(k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_330381,c_70]) ).
tcf(c_343392,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k1_zfmisc_1(X0)),k2_zfmisc_1(X0,k4_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_330381,c_69]) ).
tcf(c_343393,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_zfmisc_1(X1,k4_xboole_0(X1,X2)))
| m1_subset_1(sK25(X0,k2_zfmisc_1(X1,k4_xboole_0(X1,X2))),X0)
| ~ r1_tarski(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_330381,c_97752]) ).
tcf(c_343395,plain,
! [X0: $i] : r1_tarski(k2_zfmisc_1(sK413,k4_xboole_0(sK413,X0)),k5_finsub_1(k5_finsub_1(sK413))),
inference(light_normalisation,[status(thm)],[c_343385,c_333180]) ).
tcf(c_343396,plain,
! [X0: $i] : r1_tarski(k2_zfmisc_1(sK212,k4_xboole_0(sK212,X0)),k5_finsub_1(k5_finsub_1(sK212))),
inference(light_normalisation,[status(thm)],[c_343384,c_331672]) ).
tcf(c_343397,plain,
! [X0: $i] : r1_tarski(k2_zfmisc_1(sK205,k4_xboole_0(sK205,X0)),k5_finsub_1(k5_finsub_1(sK205))),
inference(light_normalisation,[status(thm)],[c_343383,c_331263]) ).
tcf(c_343403,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)),k2_zfmisc_1(X0,k4_xboole_0(X0,X1))) = k1_zfmisc_1(k1_zfmisc_1(X0)),
inference(theory_normalisation,[status(thm)],[c_343388,c_521,c_524]) ).
tcf(c_343452,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X1,X0))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_1429,c_2492]) ).
tcf(c_343454,plain,
( v2_membered(k2_finseq_1(np__2))
| ~ v1_xreal_0(np__2)
| ~ v1_xreal_0(np__1) ),
inference(superposition,[status(thm)],[c_1821,c_2492]) ).
tcf(c_343466,plain,
! [X0: $i,X1: $i] :
( r1_tarski(np__0,k2_zfmisc_1(X0,X1))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_161,c_85]) ).
tcf(c_343467,plain,
! [X0: $i,X1: $i] :
( r1_tarski(np__0,k2_zfmisc_1(X1,np__0))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_162,c_85]) ).
tcf(c_343468,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_zfmisc_1(X0,X1),np__0)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_161,c_85]) ).
tcf(c_343469,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_zfmisc_1(X0,np__0),np__0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_162,c_85]) ).
tcf(c_343470,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r1_tarski(X0,X2)
| ~ r1_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1)) ),
inference(superposition,[status(thm)],[c_85,c_2426]) ).
tcf(c_343471,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)) = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_85,c_817]) ).
tcf(c_343472,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)) = k2_zfmisc_1(X1,X2) )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_85,c_513]) ).
tcf(c_343473,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(X2,X1))
| ~ r1_tarski(X2,X0)
| ~ v1_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_2460]) ).
tcf(c_343474,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_zfmisc_1(X2,X1))
| ~ r1_tarski(X2,X0)
| ~ v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_872]) ).
tcf(c_343475,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k2_zfmisc_1(X2,X1))
| ~ r1_tarski(X2,X0)
| ~ v1_relat_1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_70]) ).
tcf(c_343476,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_tarski(X2,X0)
| ~ r2_hidden(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1)) ),
inference(superposition,[status(thm)],[c_85,c_69]) ).
tcf(c_343477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_zfmisc_1(X3,X2))
| m1_subset_1(sK25(X0,k2_zfmisc_1(X3,X2)),X0)
| ~ r1_tarski(X3,X1)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_85,c_97752]) ).
tcf(c_343478,plain,
! [X0: $i,X1: $i] :
( ( k2_zfmisc_1(X0,X1) = np__0 )
| ~ r1_tarski(X0,k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_82]) ).
tcf(c_343479,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(k2_zfmisc_1(X0,X2),X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_85,c_1062]) ).
tcf(c_343480,plain,
! [X0: $i,X1: $i] :
( r1_tarski(np__0,np__0)
| ~ r1_tarski(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_343469,c_162]) ).
tcf(c_343524,plain,
! [X0: $i,X1: $i] :
( r1_tarski(np__0,k2_zfmisc_1(np__0,X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_161,c_86]) ).
tcf(c_343525,plain,
! [X0: $i,X1: $i] :
( r1_tarski(np__0,k2_zfmisc_1(X1,X0))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_162,c_86]) ).
tcf(c_343526,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_zfmisc_1(np__0,X0),np__0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_161,c_86]) ).
tcf(c_343527,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_zfmisc_1(X1,X0),np__0)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_162,c_86]) ).
tcf(c_343528,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r1_tarski(X1,X2)
| ~ r1_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)) ),
inference(superposition,[status(thm)],[c_86,c_2426]) ).
tcf(c_343529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k2_zfmisc_1(X2,X0),k2_zfmisc_1(X2,X1)) = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_86,c_817]) ).
tcf(c_343530,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(k2_zfmisc_1(X2,X0),k2_zfmisc_1(X2,X1)) = k2_zfmisc_1(X2,X1) )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_86,c_513]) ).
tcf(c_343531,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(X0,X2))
| ~ r1_tarski(X2,X1)
| ~ v1_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_2460]) ).
tcf(c_343532,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_zfmisc_1(X0,X2))
| ~ r1_tarski(X2,X1)
| ~ v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_872]) ).
tcf(c_343533,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k2_zfmisc_1(X0,X2))
| ~ r1_tarski(X2,X1)
| ~ v1_relat_1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_70]) ).
tcf(c_343534,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_tarski(X2,X1)
| ~ r2_hidden(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)) ),
inference(superposition,[status(thm)],[c_86,c_69]) ).
tcf(c_343535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_zfmisc_1(X1,X3))
| m1_subset_1(sK25(X0,k2_zfmisc_1(X1,X3)),X0)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_86,c_97752]) ).
tcf(c_343536,plain,
! [X0: $i,X1: $i] :
( ( k2_zfmisc_1(X1,X0) = np__0 )
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X0)) ),
inference(superposition,[status(thm)],[c_86,c_83]) ).
tcf(c_343537,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(k2_zfmisc_1(X2,X0),X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_86,c_1062]) ).
tcf(c_343598,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| m1_subset_1(sK47(X1),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_328348,c_97]) ).
tcf(c_343599,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r2_hidden(sK47(X1),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_326624,c_97]) ).
tcf(c_343600,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_326591,c_97]) ).
tcf(c_343601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_zfmisc_1(X3,X2))
| ~ r1_tarski(X1,X3)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_85,c_97]) ).
tcf(c_343602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_zfmisc_1(X1,X3))
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_86,c_97]) ).
tcf(c_343603,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_90,c_97]) ).
tcf(c_343606,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_263,c_97]) ).
tcf(c_343607,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_281,c_97]) ).
tcf(c_343608,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| ( X1 = np__0 )
| ~ r1_tarski(X0,k2_relat_1(sK89(X1,X2))) ),
inference(superposition,[status(thm)],[c_406,c_97]) ).
tcf(c_343609,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_zfmisc_1(k1_relat_1(X1),k2_relat_1(X1)))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_430,c_97]) ).
tcf(c_343610,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k5_finsub_1(k2_xboole_0(X1,X2)))
| ~ r1_tarski(X0,k2_xboole_0(k5_finsub_1(X1),k5_finsub_1(X2))) ),
inference(superposition,[status(thm)],[c_463,c_97]) ).
tcf(c_343611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,k2_zfmisc_1(X1,X2))
| ~ r1_tarski(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1063,c_97]) ).
tcf(c_343612,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X1,X2))))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_483,c_97]) ).
tcf(c_343613,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_zfmisc_1(k2_xboole_0(X1,X2)))
| ~ r1_tarski(X0,k2_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2))) ),
inference(superposition,[status(thm)],[c_485,c_97]) ).
tcf(c_343614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_xboole_0(X1,X3))
| ~ r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_502,c_97]) ).
tcf(c_343615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,k2_xboole_0(X3,X1))
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_515,c_97]) ).
tcf(c_343617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X3)
| ~ r1_tarski(X1,X3)
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_812,c_97]) ).
tcf(c_343619,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_920,c_97]) ).
tcf(c_343620,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k5_finsub_1(X2))
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_922,c_97]) ).
tcf(c_343621,plain,
! [X0: $i] :
( r1_tarski(X0,k1_numbers)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_1091,c_97]) ).
tcf(c_343624,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_card_1(X2))
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,k1_card_1(X1)) ),
inference(superposition,[status(thm)],[c_1307,c_97]) ).
tcf(c_343625,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_tarski(X1,X2))
| ~ r1_tarski(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_1425,c_97]) ).
tcf(c_343626,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_tarski(X2,X1))
| ~ r1_tarski(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_1408,c_97]) ).
tcf(c_343627,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k1_relat_1(k7_relat_1(X1,X2))) ),
inference(superposition,[status(thm)],[c_2268,c_97]) ).
tcf(c_343628,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k2_relat_1(k7_relat_1(X1,X2))) ),
inference(superposition,[status(thm)],[c_2260,c_97]) ).
tcf(c_343629,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k7_relat_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_2269,c_97]) ).
tcf(c_343630,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k1_relat_1(k7_relat_1(X1,X2))) ),
inference(superposition,[status(thm)],[c_2270,c_97]) ).
tcf(c_343631,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k10_relat_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_2325,c_97]) ).
tcf(c_343632,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k9_relat_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_2367,c_97]) ).
tcf(c_343633,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_326375,c_97]) ).
tcf(c_343634,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK53(X1)) ),
inference(superposition,[status(thm)],[c_326377,c_97]) ).
tcf(c_343636,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK210(X1)) ),
inference(superposition,[status(thm)],[c_326378,c_97]) ).
tcf(c_343637,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK211(X1)) ),
inference(superposition,[status(thm)],[c_326379,c_97]) ).
tcf(c_343638,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k5_numbers)
| ~ v4_ordinal2(X1)
| ~ r1_tarski(X0,k2_finseq_1(X1)) ),
inference(superposition,[status(thm)],[c_328268,c_97]) ).
tcf(c_343639,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2))))
| ~ r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_33271,c_97]) ).
tcf(c_343640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_xboole_0(X3,X2))
| ~ r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3)))) ),
inference(superposition,[status(thm)],[c_34474,c_97]) ).
tcf(c_343641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| r1_tarski(X0,X1)
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,sK26(k5_finsub_1(X1),X2,X3)) ),
inference(superposition,[status(thm)],[c_323884,c_97]) ).
tcf(c_343642,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK29(k5_finsub_1(X1))) ),
inference(superposition,[status(thm)],[c_323947,c_97]) ).
tcf(c_343643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X0,X1)
| r1_tarski(k5_finsub_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X4,X3))))
| ~ r1_tarski(k5_finsub_1(X1),k2_xboole_0(X3,X4))
| ~ r1_tarski(X0,sK25(k5_finsub_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X3,X4))))) ),
inference(superposition,[status(thm)],[c_327049,c_97]) ).
tcf(c_343644,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r1_tarski(sK47(k5_finsub_1(X1)),X1)
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_330228,c_97]) ).
tcf(c_343645,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_324338,c_97]) ).
tcf(c_343646,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK207(X1)) ),
inference(superposition,[status(thm)],[c_325276,c_97]) ).
tcf(c_343647,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_tarski(X1,np__0))
| ~ r1_tarski(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_325482,c_97]) ).
tcf(c_343648,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_tarski(np__0,X1))
| ~ r1_tarski(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_325488,c_97]) ).
tcf(c_343649,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_tarski(np__1,X1))
| ~ r1_tarski(X0,k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_325615,c_97]) ).
tcf(c_343650,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_tarski(X1,np__1))
| ~ r1_tarski(X0,k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_325616,c_97]) ).
tcf(c_343651,plain,
! [X0: $i] :
( r1_tarski(X0,k1_zfmisc_1(np__1))
| ~ r1_tarski(X0,k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_325618,c_97]) ).
tcf(c_343652,plain,
! [X0: $i] :
( r1_tarski(X0,k2_finseq_1(np__2))
| ~ r1_tarski(X0,k2_tarski(np__2,np__2)) ),
inference(superposition,[status(thm)],[c_325630,c_97]) ).
tcf(c_343653,plain,
! [X0: $i] :
( r1_tarski(X0,k2_finseq_1(np__2))
| ~ r1_tarski(X0,k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_325633,c_97]) ).
tcf(c_343654,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X2,X1))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_326816,c_97]) ).
tcf(c_343655,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| r1_tarski(k5_finsub_1(X1),X2)
| ~ r1_tarski(X0,sK25(k5_finsub_1(X1),X2)) ),
inference(superposition,[status(thm)],[c_328506,c_97]) ).
tcf(c_343656,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK29(k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_326374,c_97]) ).
tcf(c_343657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| r1_tarski(X0,X1)
| ~ r1_tarski(X3,k1_zfmisc_1(X1))
| ~ r1_tarski(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,sK26(k1_zfmisc_1(X1),X2,X3)) ),
inference(superposition,[status(thm)],[c_326381,c_97]) ).
tcf(c_343658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X0,X1)
| r1_tarski(k1_zfmisc_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X4,X3))))
| ~ r1_tarski(k1_zfmisc_1(X1),k2_xboole_0(X4,X3))
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X3,X4))))) ),
inference(superposition,[status(thm)],[c_328021,c_97]) ).
tcf(c_343659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X0,X1)
| r1_tarski(k1_zfmisc_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X3,X4))))
| ~ r1_tarski(k1_zfmisc_1(X1),k2_xboole_0(X4,X3))
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X3,X4))))) ),
inference(superposition,[status(thm)],[c_326382,c_97]) ).
tcf(c_343660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X0,X1)
| r1_tarski(k1_zfmisc_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X4,X3))))
| ~ r1_tarski(k1_zfmisc_1(X1),k2_xboole_0(X3,X4))
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X3,X4))))) ),
inference(superposition,[status(thm)],[c_327861,c_97]) ).
tcf(c_343661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X3,X4)
| r1_tarski(X0,X1)
| r1_tarski(k1_zfmisc_1(X1),sK26(k5_finsub_1(X2),X3,X4))
| ~ r1_tarski(X4,k5_finsub_1(X2))
| ~ r1_tarski(X3,k5_finsub_1(X2))
| ~ r1_tarski(k1_zfmisc_1(X1),X2)
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(X1),sK26(k5_finsub_1(X2),X3,X4))) ),
inference(superposition,[status(thm)],[c_326385,c_97]) ).
tcf(c_343662,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| r1_tarski(k1_zfmisc_1(X1),X2)
| ~ r1_tarski(X0,sK28(k1_zfmisc_1(X1),X2)) ),
inference(superposition,[status(thm)],[c_326593,c_97]) ).
tcf(c_343663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X1)
| r1_tarski(k5_finsub_1(X1),k2_xboole_0(X3,X2))
| ~ r1_tarski(X0,sK25(k5_finsub_1(X1),k2_xboole_0(X2,X3))) ),
inference(superposition,[status(thm)],[c_330258,c_97]) ).
tcf(c_343664,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK47(k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_328444,c_97]) ).
tcf(c_343665,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| r1_tarski(k5_finsub_1(X1),X2)
| ~ r1_tarski(X0,sK47(k5_finsub_1(X1))) ),
inference(superposition,[status(thm)],[c_330228,c_97]) ).
tcf(c_343666,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(X1),np__0)) ),
inference(superposition,[status(thm)],[c_328139,c_97]) ).
tcf(c_343667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X1)
| r1_tarski(k1_zfmisc_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,X3)))
| ~ r1_tarski(k1_zfmisc_1(X1),X3)
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,X3)))) ),
inference(superposition,[status(thm)],[c_331985,c_97]) ).
tcf(c_343668,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,np__0)
| r1_tarski(k5_finsub_1(np__0),X1)
| ~ r1_tarski(X0,sK28(k5_finsub_1(np__0),X1)) ),
inference(superposition,[status(thm)],[c_328382,c_97]) ).
tcf(c_343669,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_329271,c_97]) ).
tcf(c_343670,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k5_finsub_1(np__0))
| ~ r1_tarski(X1,np__0)
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_329264,c_97]) ).
tcf(c_343671,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X2,X1))))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_330379,c_97]) ).
tcf(c_343672,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X1)) ),
inference(superposition,[status(thm)],[c_330378,c_97]) ).
tcf(c_343673,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_330381,c_97]) ).
tcf(c_343674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_xboole_0(X2,k2_xboole_0(X1,X3)))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_330474,c_97]) ).
tcf(c_343675,plain,
! [X0: $i] :
( r1_tarski(X0,k5_finsub_1(sK205))
| ~ r1_tarski(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_331184,c_97]) ).
tcf(c_343676,plain,
! [X0: $i] :
( r1_tarski(X0,sK205)
| ~ r1_tarski(X0,sK47(k5_finsub_1(sK205))) ),
inference(superposition,[status(thm)],[c_331190,c_97]) ).
tcf(c_343677,plain,
! [X0: $i] :
( r1_tarski(X0,k5_finsub_1(sK205))
| ~ r1_tarski(X0,k2_tarski(sK205,sK205)) ),
inference(superposition,[status(thm)],[c_331212,c_97]) ).
tcf(c_343678,plain,
! [X0: $i] :
( r1_tarski(X0,sK205)
| ~ r1_tarski(X0,sK53(sK205)) ),
inference(superposition,[status(thm)],[c_331347,c_97]) ).
tcf(c_343679,plain,
! [X0: $i] :
( r1_tarski(X0,sK205)
| ~ r1_tarski(X0,sK210(sK205)) ),
inference(superposition,[status(thm)],[c_331361,c_97]) ).
tcf(c_343680,plain,
! [X0: $i] :
( r1_tarski(X0,sK205)
| ~ r1_tarski(X0,sK211(sK205)) ),
inference(superposition,[status(thm)],[c_331375,c_97]) ).
tcf(c_343681,plain,
! [X0: $i] :
( r1_tarski(X0,k5_finsub_1(sK212))
| ~ r1_tarski(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_331593,c_97]) ).
tcf(c_343682,plain,
! [X0: $i] :
( r1_tarski(X0,sK212)
| ~ r1_tarski(X0,sK47(k5_finsub_1(sK212))) ),
inference(superposition,[status(thm)],[c_331599,c_97]) ).
tcf(c_343683,plain,
! [X0: $i] :
( r1_tarski(X0,k5_finsub_1(sK212))
| ~ r1_tarski(X0,k2_tarski(sK212,sK212)) ),
inference(superposition,[status(thm)],[c_331621,c_97]) ).
tcf(c_343684,plain,
! [X0: $i] :
( r1_tarski(X0,sK212)
| ~ r1_tarski(X0,sK53(sK212)) ),
inference(superposition,[status(thm)],[c_331939,c_97]) ).
tcf(c_343685,plain,
! [X0: $i] :
( r1_tarski(X0,sK212)
| ~ r1_tarski(X0,sK210(sK212)) ),
inference(superposition,[status(thm)],[c_331954,c_97]) ).
tcf(c_343686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X1)
| r1_tarski(k1_zfmisc_1(X1),k2_xboole_0(X2,X3))
| ~ r1_tarski(k1_zfmisc_1(X1),k2_xboole_0(X3,X2))
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(X1),k2_xboole_0(X2,X3))) ),
inference(superposition,[status(thm)],[c_331819,c_97]) ).
tcf(c_343687,plain,
! [X0: $i] :
( r1_tarski(X0,sK212)
| ~ r1_tarski(X0,sK211(sK212)) ),
inference(superposition,[status(thm)],[c_331969,c_97]) ).
tcf(c_343688,plain,
! [X0: $i] :
( r1_tarski(X0,k5_finsub_1(sK413))
| ~ r1_tarski(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_333098,c_97]) ).
tcf(c_343689,plain,
! [X0: $i] :
( r1_tarski(X0,sK413)
| ~ r1_tarski(X0,sK47(k5_finsub_1(sK413))) ),
inference(superposition,[status(thm)],[c_333104,c_97]) ).
tcf(c_343690,plain,
! [X0: $i] :
( r1_tarski(X0,k5_finsub_1(sK413))
| ~ r1_tarski(X0,k2_tarski(sK413,sK413)) ),
inference(superposition,[status(thm)],[c_333125,c_97]) ).
tcf(c_343691,plain,
! [X0: $i] :
( r1_tarski(X0,sK413)
| ~ r1_tarski(X0,sK53(sK413)) ),
inference(superposition,[status(thm)],[c_334147,c_97]) ).
tcf(c_343692,plain,
! [X0: $i] :
( r1_tarski(X0,sK413)
| ~ r1_tarski(X0,sK210(sK413)) ),
inference(superposition,[status(thm)],[c_334414,c_97]) ).
tcf(c_343693,plain,
! [X0: $i] :
( r1_tarski(X0,sK413)
| ~ r1_tarski(X0,sK211(sK413)) ),
inference(superposition,[status(thm)],[c_334452,c_97]) ).
tcf(c_343694,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_xboole_0(X1,k1_numbers))
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_341107,c_97]) ).
tcf(c_343695,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_xboole_0(k1_numbers,X1))
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_341360,c_97]) ).
tcf(c_343696,plain,
! [X0: $i] :
( r1_tarski(X0,sK413)
| ~ r1_tarski(X0,sK25(k5_finsub_1(sK413),np__0)) ),
inference(superposition,[status(thm)],[c_333111,c_97]) ).
tcf(c_343697,plain,
! [X0: $i] :
( r1_tarski(X0,sK212)
| ~ r1_tarski(X0,sK25(k5_finsub_1(sK212),np__0)) ),
inference(superposition,[status(thm)],[c_331606,c_97]) ).
tcf(c_343698,plain,
! [X0: $i] :
( r1_tarski(X0,sK205)
| ~ r1_tarski(X0,sK25(k5_finsub_1(sK205),np__0)) ),
inference(superposition,[status(thm)],[c_331197,c_97]) ).
tcf(c_344097,plain,
! [X0: $i] :
( v4_ordinal2(np__1)
| ~ v5_membered(k2_xboole_0(X0,k2_finseq_1(np__2))) ),
inference(superposition,[status(thm)],[c_343355,c_2042]) ).
tcf(c_344098,plain,
! [X0: $i] :
( v1_xcmplx_0(np__1)
| ~ v1_membered(k2_xboole_0(X0,k2_finseq_1(np__2))) ),
inference(superposition,[status(thm)],[c_343355,c_1804]) ).
tcf(c_344099,plain,
! [X0: $i] : ~ r2_hidden(k2_xboole_0(X0,k2_finseq_1(np__2)),np__1),
inference(superposition,[status(thm)],[c_343355,c_196]) ).
tcf(c_344100,plain,
! [X0: $i] : r2_hidden(sK47(k2_xboole_0(X0,k2_finseq_1(np__2))),k2_xboole_0(X0,k2_finseq_1(np__2))),
inference(superposition,[status(thm)],[c_343355,c_192]) ).
tcf(c_344101,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(X0,k2_finseq_1(np__2))),
inference(superposition,[status(thm)],[c_343355,c_191]) ).
tcf(c_344102,plain,
! [X0: $i] : m1_subset_1(np__1,k2_xboole_0(X0,k2_finseq_1(np__2))),
inference(superposition,[status(thm)],[c_343355,c_186]) ).
tcf(c_344132,plain,
! [X0: $i] :
( v1_xreal_0(np__1)
| ~ v2_membered(k2_xboole_0(k2_finseq_1(np__2),X0)) ),
inference(superposition,[status(thm)],[c_343362,c_1807]) ).
tcf(c_344133,plain,
! [X0: $i] :
( v1_xcmplx_0(np__1)
| ~ v2_membered(k2_xboole_0(k2_finseq_1(np__2),X0)) ),
inference(superposition,[status(thm)],[c_343362,c_1806]) ).
tcf(c_344151,plain,
! [X0: $i] :
( v1_xreal_0(np__1)
| ~ v2_membered(k2_xboole_0(X0,k2_finseq_1(np__2))) ),
inference(superposition,[status(thm)],[c_344102,c_1807]) ).
tcf(c_344152,plain,
! [X0: $i] :
( v1_xcmplx_0(np__1)
| ~ v2_membered(k2_xboole_0(X0,k2_finseq_1(np__2))) ),
inference(superposition,[status(thm)],[c_344102,c_1806]) ).
tcf(c_344179,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_ordinal2(X1)
| ~ v5_membered(k2_xboole_0(X0,k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_331702,c_2042]) ).
tcf(c_344180,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xcmplx_0(X1)
| ~ v1_membered(k2_xboole_0(X0,k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_331702,c_1804]) ).
tcf(c_344181,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_xboole_0(X0,k2_tarski(X1,X2)),X1),
inference(superposition,[status(thm)],[c_331702,c_196]) ).
tcf(c_344182,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(sK47(k2_xboole_0(X0,k2_tarski(X1,X2))),k2_xboole_0(X0,k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_331702,c_192]) ).
tcf(c_344183,plain,
! [X0: $i,X1: $i,X2: $i] : ~ v1_xboole_0(k2_xboole_0(X0,k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_331702,c_191]) ).
tcf(c_344184,plain,
! [X0: $i,X1: $i,X2: $i] : m1_subset_1(X0,k2_xboole_0(X1,k2_tarski(X0,X2))),
inference(superposition,[status(thm)],[c_331702,c_186]) ).
tcf(c_344185,plain,
! [X0: $i,X1: $i] : ~ v1_xreal_0(k2_xboole_0(X0,k2_tarski(k1_numbers,X1))),
inference(superposition,[status(thm)],[c_331702,c_326676]) ).
tcf(c_344201,plain,
! [X0: $i] : r2_hidden(np__2,k2_xboole_0(k2_finseq_1(np__2),X0)),
inference(superposition,[status(thm)],[c_1821,c_331730]) ).
tcf(c_344202,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_ordinal2(X1)
| ~ v5_membered(k2_xboole_0(k2_tarski(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_331730,c_2042]) ).
tcf(c_344203,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xcmplx_0(X1)
| ~ v1_membered(k2_xboole_0(k2_tarski(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_331730,c_1804]) ).
tcf(c_344204,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_xboole_0(k2_tarski(X0,X1),X2),X1),
inference(superposition,[status(thm)],[c_331730,c_196]) ).
tcf(c_344207,plain,
! [X0: $i,X1: $i,X2: $i] : m1_subset_1(X0,k2_xboole_0(k2_tarski(X1,X0),X2)),
inference(superposition,[status(thm)],[c_331730,c_186]) ).
tcf(c_344208,plain,
! [X0: $i,X1: $i] : ~ v1_xreal_0(k2_xboole_0(k2_tarski(X0,k1_numbers),X1)),
inference(superposition,[status(thm)],[c_331730,c_326676]) ).
tcf(c_344234,plain,
! [X0: $i] : r2_hidden(np__2,k2_xboole_0(X0,k2_finseq_1(np__2))),
inference(superposition,[status(thm)],[c_524,c_344201]) ).
tcf(c_344236,plain,
! [X0: $i] :
( v4_ordinal2(np__2)
| ~ v5_membered(k2_xboole_0(k2_finseq_1(np__2),X0)) ),
inference(superposition,[status(thm)],[c_344201,c_2042]) ).
tcf(c_344237,plain,
! [X0: $i] :
( v1_xcmplx_0(np__2)
| ~ v1_membered(k2_xboole_0(k2_finseq_1(np__2),X0)) ),
inference(superposition,[status(thm)],[c_344201,c_1804]) ).
tcf(c_344238,plain,
! [X0: $i] : ~ r2_hidden(k2_xboole_0(k2_finseq_1(np__2),X0),np__2),
inference(superposition,[status(thm)],[c_344201,c_196]) ).
tcf(c_344241,plain,
! [X0: $i] : m1_subset_1(np__2,k2_xboole_0(k2_finseq_1(np__2),X0)),
inference(superposition,[status(thm)],[c_344201,c_186]) ).
tcf(c_344264,plain,
! [X0: $i] :
( v4_ordinal2(np__2)
| ~ v5_membered(k2_xboole_0(X0,k2_finseq_1(np__2))) ),
inference(superposition,[status(thm)],[c_344234,c_2042]) ).
tcf(c_344265,plain,
! [X0: $i] :
( v1_xcmplx_0(np__2)
| ~ v1_membered(k2_xboole_0(X0,k2_finseq_1(np__2))) ),
inference(superposition,[status(thm)],[c_344234,c_1804]) ).
tcf(c_344266,plain,
! [X0: $i] : ~ r2_hidden(k2_xboole_0(X0,k2_finseq_1(np__2)),np__2),
inference(superposition,[status(thm)],[c_344234,c_196]) ).
tcf(c_344269,plain,
! [X0: $i] : m1_subset_1(np__2,k2_xboole_0(X0,k2_finseq_1(np__2))),
inference(superposition,[status(thm)],[c_344234,c_186]) ).
tcf(c_344282,plain,
! [X0: $i] :
( v1_xreal_0(np__2)
| ~ v2_membered(k2_xboole_0(k2_finseq_1(np__2),X0)) ),
inference(superposition,[status(thm)],[c_344241,c_1807]) ).
tcf(c_344283,plain,
! [X0: $i] :
( v1_xcmplx_0(np__2)
| ~ v2_membered(k2_xboole_0(k2_finseq_1(np__2),X0)) ),
inference(superposition,[status(thm)],[c_344241,c_1806]) ).
tcf(c_344299,plain,
! [X0: $i] :
( v1_xreal_0(np__2)
| ~ v2_membered(k2_xboole_0(X0,k2_finseq_1(np__2))) ),
inference(superposition,[status(thm)],[c_344269,c_1807]) ).
tcf(c_344300,plain,
! [X0: $i] :
( v1_xcmplx_0(np__2)
| ~ v2_membered(k2_xboole_0(X0,k2_finseq_1(np__2))) ),
inference(superposition,[status(thm)],[c_344269,c_1806]) ).
tcf(c_344316,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_ordinal2(X2)
| ~ v5_membered(k2_xboole_0(X0,k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_331733,c_2042]) ).
tcf(c_344317,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xcmplx_0(X2)
| ~ v1_membered(k2_xboole_0(X0,k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_331733,c_1804]) ).
tcf(c_344318,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_xboole_0(X0,k2_tarski(X1,X2)),X2),
inference(superposition,[status(thm)],[c_331733,c_196]) ).
tcf(c_344321,plain,
! [X0: $i,X1: $i,X2: $i] : m1_subset_1(X0,k2_xboole_0(X1,k2_tarski(X2,X0))),
inference(superposition,[status(thm)],[c_331733,c_186]) ).
tcf(c_344322,plain,
! [X0: $i,X1: $i] : ~ v1_xreal_0(k2_xboole_0(X0,k2_tarski(X1,k1_numbers))),
inference(superposition,[status(thm)],[c_331733,c_326676]) ).
tcf(c_344348,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_343633,c_97]) ).
tcf(c_344349,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1))
| ~ r1_xboole_0(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_343633,c_2426]) ).
tcf(c_344350,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| ( k4_xboole_0(X0,k1_zfmisc_1(u1_struct_0(X1))) = np__0 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_343633,c_817]) ).
tcf(c_344351,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| ( k2_xboole_0(X0,k1_zfmisc_1(u1_struct_0(X1))) = k1_zfmisc_1(u1_struct_0(X1)) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_343633,c_513]) ).
tcf(c_344352,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_343633,c_2460]) ).
tcf(c_344353,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_finset_1(k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_343633,c_872]) ).
tcf(c_344354,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X0)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_relat_1(k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_343633,c_70]) ).
tcf(c_344355,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(X1,k7_lopclset(X0))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_343633,c_69]) ).
tcf(c_344356,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| m1_subset_1(sK25(X0,X2),X0)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k7_lopclset(X1))
| ~ r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_343633,c_97752]) ).
tcf(c_344357,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X2)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_tarski(k2_xboole_0(X0,X1),k7_lopclset(X2)) ),
inference(superposition,[status(thm)],[c_343633,c_514]) ).
tcf(c_344358,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X2)
| r2_hidden(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_tarski(k2_tarski(X0,X1),k7_lopclset(X2)) ),
inference(superposition,[status(thm)],[c_343633,c_1413]) ).
tcf(c_344359,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X2)
| r2_hidden(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_tarski(k2_tarski(X0,X1),k7_lopclset(X2)) ),
inference(superposition,[status(thm)],[c_343633,c_1412]) ).
tcf(c_344360,plain,
! [X0: $i] :
( v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))),k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_343633,c_326440]) ).
tcf(c_344361,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(k2_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))),X1),k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_343633,c_326441]) ).
tcf(c_344362,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(k2_tarski(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))),X1),k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_343633,c_327177]) ).
tcf(c_344363,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(k2_tarski(X0,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))),k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_343633,c_327182]) ).
tcf(c_344364,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(k2_xboole_0(X0,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))),k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_343633,c_327403]) ).
tcf(c_344365,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(sK28(X0,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))),k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_343633,c_329285]) ).
tcf(c_344366,plain,
! [X0: $i] :
( v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))),k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_343633,c_329952]) ).
tcf(c_344367,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,k1_zfmisc_1(u1_struct_0(X1)))),k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_343633,c_330507]) ).
tcf(c_344558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k2_zfmisc_1(X3,X2))
| ~ r1_tarski(X1,X3)
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_85,c_104]) ).
tcf(c_344559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k2_zfmisc_1(X1,X3))
| ~ r1_tarski(X2,X3)
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_86,c_104]) ).
tcf(c_344560,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2)
| ~ r2_hidden(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_90,c_104]) ).
tcf(c_344563,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_263,c_104]) ).
tcf(c_344564,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_281,c_104]) ).
tcf(c_344565,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X1)
| ( X1 = np__0 )
| ~ r2_hidden(X0,k2_relat_1(sK89(X1,X2))) ),
inference(superposition,[status(thm)],[c_406,c_104]) ).
tcf(c_344566,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k2_zfmisc_1(k1_relat_1(X1),k2_relat_1(X1)))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_430,c_104]) ).
tcf(c_344567,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k5_finsub_1(k2_xboole_0(X1,X2)))
| ~ r2_hidden(X0,k2_xboole_0(k5_finsub_1(X1),k5_finsub_1(X2))) ),
inference(superposition,[status(thm)],[c_463,c_104]) ).
tcf(c_344568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X3,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1063,c_104]) ).
tcf(c_344569,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X1,X2))))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_483,c_104]) ).
tcf(c_344570,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_zfmisc_1(k2_xboole_0(X1,X2)))
| ~ r2_hidden(X0,k2_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2))) ),
inference(superposition,[status(thm)],[c_485,c_104]) ).
tcf(c_344571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k2_xboole_0(X1,X3))
| ~ r2_hidden(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_502,c_104]) ).
tcf(c_344572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X2,k2_xboole_0(X3,X1))
| ~ r2_hidden(X2,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_515,c_104]) ).
tcf(c_344574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X3)
| ~ r1_tarski(X1,X3)
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_812,c_104]) ).
tcf(c_344576,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_920,c_104]) ).
tcf(c_344577,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k5_finsub_1(X2))
| ~ r1_tarski(X1,X2)
| ~ r2_hidden(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_922,c_104]) ).
tcf(c_344581,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_card_1(X2))
| ~ r1_tarski(X1,X2)
| ~ r2_hidden(X0,k1_card_1(X1)) ),
inference(superposition,[status(thm)],[c_1307,c_104]) ).
tcf(c_344582,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_tarski(X1,X2))
| ~ r2_hidden(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_1425,c_104]) ).
tcf(c_344583,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_tarski(X2,X1))
| ~ r2_hidden(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_1408,c_104]) ).
tcf(c_344585,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(k7_relat_1(X1,X2))) ),
inference(superposition,[status(thm)],[c_2260,c_104]) ).
tcf(c_344586,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k7_relat_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_2269,c_104]) ).
tcf(c_344588,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_2325,c_104]) ).
tcf(c_344589,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_2367,c_104]) ).
tcf(c_344590,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| r2_hidden(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_326375,c_104]) ).
tcf(c_344591,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ r2_hidden(X0,sK53(X1)) ),
inference(superposition,[status(thm)],[c_326377,c_104]) ).
tcf(c_344593,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ r2_hidden(X0,sK210(X1)) ),
inference(superposition,[status(thm)],[c_326378,c_104]) ).
tcf(c_344594,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ r2_hidden(X0,sK211(X1)) ),
inference(superposition,[status(thm)],[c_326379,c_104]) ).
tcf(c_344595,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k5_numbers)
| ~ v4_ordinal2(X1)
| ~ r2_hidden(X0,k2_finseq_1(X1)) ),
inference(superposition,[status(thm)],[c_328268,c_104]) ).
tcf(c_344596,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2))))
| ~ r2_hidden(X0,k1_zfmisc_1(k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_33271,c_104]) ).
tcf(c_344597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k2_xboole_0(X3,X2))
| ~ r2_hidden(X0,k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3)))) ),
inference(superposition,[status(thm)],[c_34474,c_104]) ).
tcf(c_344598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X1)
| r1_tarski(X2,X3)
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r2_hidden(X0,sK26(k5_finsub_1(X1),X2,X3)) ),
inference(superposition,[status(thm)],[c_323884,c_104]) ).
tcf(c_344599,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ~ r2_hidden(X0,sK29(k5_finsub_1(X1))) ),
inference(superposition,[status(thm)],[c_323947,c_104]) ).
tcf(c_344600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X0,X1)
| r1_tarski(k5_finsub_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X4,X3))))
| ~ r1_tarski(k5_finsub_1(X1),k2_xboole_0(X3,X4))
| ~ r2_hidden(X0,sK25(k5_finsub_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X3,X4))))) ),
inference(superposition,[status(thm)],[c_327049,c_104]) ).
tcf(c_344603,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ r2_hidden(X0,sK207(X1)) ),
inference(superposition,[status(thm)],[c_325276,c_104]) ).
tcf(c_344604,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k2_tarski(X1,np__0))
| ~ r2_hidden(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_325482,c_104]) ).
tcf(c_344605,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k2_tarski(np__0,X1))
| ~ r2_hidden(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_325488,c_104]) ).
tcf(c_344606,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k2_tarski(np__1,X1))
| ~ r2_hidden(X0,k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_325615,c_104]) ).
tcf(c_344607,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k2_tarski(X1,np__1))
| ~ r2_hidden(X0,k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_325616,c_104]) ).
tcf(c_344608,plain,
! [X0: $i] :
( r2_hidden(X0,k1_zfmisc_1(np__1))
| ~ r2_hidden(X0,k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_325618,c_104]) ).
tcf(c_344609,plain,
! [X0: $i] :
( r2_hidden(X0,k2_finseq_1(np__2))
| ~ r2_hidden(X0,k2_tarski(np__2,np__2)) ),
inference(superposition,[status(thm)],[c_325630,c_104]) ).
tcf(c_344610,plain,
! [X0: $i] :
( r2_hidden(X0,k2_finseq_1(np__2))
| ~ r2_hidden(X0,k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_325633,c_104]) ).
tcf(c_344611,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_xboole_0(X2,X1))
| ~ r2_hidden(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_326816,c_104]) ).
tcf(c_344612,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X1)
| r1_tarski(k5_finsub_1(X1),X2)
| ~ r2_hidden(X0,sK25(k5_finsub_1(X1),X2)) ),
inference(superposition,[status(thm)],[c_328506,c_104]) ).
tcf(c_344613,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ~ r2_hidden(X0,sK29(k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_326374,c_104]) ).
tcf(c_344614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X1)
| r1_tarski(X2,X3)
| ~ r1_tarski(X3,k1_zfmisc_1(X1))
| ~ r1_tarski(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X0,sK26(k1_zfmisc_1(X1),X2,X3)) ),
inference(superposition,[status(thm)],[c_326381,c_104]) ).
tcf(c_344615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X0,X1)
| r1_tarski(k1_zfmisc_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X4,X3))))
| ~ r1_tarski(k1_zfmisc_1(X1),k2_xboole_0(X4,X3))
| ~ r2_hidden(X0,sK25(k1_zfmisc_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X3,X4))))) ),
inference(superposition,[status(thm)],[c_328021,c_104]) ).
tcf(c_344616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X0,X1)
| r1_tarski(k1_zfmisc_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X3,X4))))
| ~ r1_tarski(k1_zfmisc_1(X1),k2_xboole_0(X4,X3))
| ~ r2_hidden(X0,sK25(k1_zfmisc_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X3,X4))))) ),
inference(superposition,[status(thm)],[c_326382,c_104]) ).
tcf(c_344617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X0,X1)
| r1_tarski(k1_zfmisc_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X4,X3))))
| ~ r1_tarski(k1_zfmisc_1(X1),k2_xboole_0(X3,X4))
| ~ r2_hidden(X0,sK25(k1_zfmisc_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X3,X4))))) ),
inference(superposition,[status(thm)],[c_327861,c_104]) ).
tcf(c_344618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X0,X1)
| r1_tarski(X3,X4)
| r1_tarski(k1_zfmisc_1(X1),sK26(k5_finsub_1(X2),X3,X4))
| ~ r1_tarski(X4,k5_finsub_1(X2))
| ~ r1_tarski(X3,k5_finsub_1(X2))
| ~ r1_tarski(k1_zfmisc_1(X1),X2)
| ~ r2_hidden(X0,sK25(k1_zfmisc_1(X1),sK26(k5_finsub_1(X2),X3,X4))) ),
inference(superposition,[status(thm)],[c_326385,c_104]) ).
tcf(c_344619,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r2_hidden(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X2,X0)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_343633,c_104]) ).
tcf(c_344620,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X1)
| r1_tarski(k1_zfmisc_1(X1),X2)
| ~ r2_hidden(X0,sK28(k1_zfmisc_1(X1),X2)) ),
inference(superposition,[status(thm)],[c_326593,c_104]) ).
tcf(c_344621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X1)
| r1_tarski(k5_finsub_1(X1),k2_xboole_0(X3,X2))
| ~ r2_hidden(X0,sK25(k5_finsub_1(X1),k2_xboole_0(X2,X3))) ),
inference(superposition,[status(thm)],[c_330258,c_104]) ).
tcf(c_344622,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ~ r2_hidden(X0,sK47(k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_328444,c_104]) ).
tcf(c_344623,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X1)
| r1_tarski(k5_finsub_1(X1),X2)
| ~ r2_hidden(X0,sK47(k5_finsub_1(X1))) ),
inference(superposition,[status(thm)],[c_330228,c_104]) ).
tcf(c_344624,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ~ r2_hidden(X0,sK25(k1_zfmisc_1(X1),np__0)) ),
inference(superposition,[status(thm)],[c_328139,c_104]) ).
tcf(c_344625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X1)
| r1_tarski(k1_zfmisc_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,X3)))
| ~ r1_tarski(k1_zfmisc_1(X1),X3)
| ~ r2_hidden(X0,sK25(k1_zfmisc_1(X1),k4_xboole_0(X2,k4_xboole_0(X2,X3)))) ),
inference(superposition,[status(thm)],[c_331985,c_104]) ).
tcf(c_344626,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,np__0)
| r1_tarski(k5_finsub_1(np__0),X1)
| ~ r2_hidden(X0,sK28(k5_finsub_1(np__0),X1)) ),
inference(superposition,[status(thm)],[c_328382,c_104]) ).
tcf(c_344627,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_329271,c_104]) ).
tcf(c_344628,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k5_finsub_1(np__0))
| ~ r1_tarski(X1,np__0)
| ~ r2_hidden(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_329264,c_104]) ).
tcf(c_344629,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X2,X1))))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_330379,c_104]) ).
tcf(c_344630,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X1)) ),
inference(superposition,[status(thm)],[c_330378,c_104]) ).
tcf(c_344631,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_330381,c_104]) ).
tcf(c_344632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k2_xboole_0(X2,k2_xboole_0(X1,X3)))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_330474,c_104]) ).
tcf(c_344633,plain,
! [X0: $i] :
( r2_hidden(X0,k5_finsub_1(sK205))
| ~ r2_hidden(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_331184,c_104]) ).
tcf(c_344634,plain,
! [X0: $i] :
( r2_hidden(X0,sK205)
| ~ r2_hidden(X0,sK47(k5_finsub_1(sK205))) ),
inference(superposition,[status(thm)],[c_331190,c_104]) ).
tcf(c_344635,plain,
! [X0: $i] :
( r2_hidden(X0,k5_finsub_1(sK205))
| ~ r2_hidden(X0,k2_tarski(sK205,sK205)) ),
inference(superposition,[status(thm)],[c_331212,c_104]) ).
tcf(c_344636,plain,
! [X0: $i] :
( r2_hidden(X0,sK205)
| ~ r2_hidden(X0,sK53(sK205)) ),
inference(superposition,[status(thm)],[c_331347,c_104]) ).
tcf(c_344637,plain,
! [X0: $i] :
( r2_hidden(X0,sK205)
| ~ r2_hidden(X0,sK210(sK205)) ),
inference(superposition,[status(thm)],[c_331361,c_104]) ).
tcf(c_344638,plain,
! [X0: $i] :
( r2_hidden(X0,sK205)
| ~ r2_hidden(X0,sK211(sK205)) ),
inference(superposition,[status(thm)],[c_331375,c_104]) ).
tcf(c_344639,plain,
! [X0: $i] :
( r2_hidden(X0,k5_finsub_1(sK212))
| ~ r2_hidden(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_331593,c_104]) ).
tcf(c_344640,plain,
! [X0: $i] :
( r2_hidden(X0,sK212)
| ~ r2_hidden(X0,sK47(k5_finsub_1(sK212))) ),
inference(superposition,[status(thm)],[c_331599,c_104]) ).
tcf(c_344641,plain,
! [X0: $i] :
( r2_hidden(X0,k5_finsub_1(sK212))
| ~ r2_hidden(X0,k2_tarski(sK212,sK212)) ),
inference(superposition,[status(thm)],[c_331621,c_104]) ).
tcf(c_344642,plain,
! [X0: $i] :
( r2_hidden(X0,sK212)
| ~ r2_hidden(X0,sK53(sK212)) ),
inference(superposition,[status(thm)],[c_331939,c_104]) ).
tcf(c_344643,plain,
! [X0: $i] :
( r2_hidden(X0,sK212)
| ~ r2_hidden(X0,sK210(sK212)) ),
inference(superposition,[status(thm)],[c_331954,c_104]) ).
tcf(c_344644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X1)
| r1_tarski(k1_zfmisc_1(X1),k2_xboole_0(X2,X3))
| ~ r1_tarski(k1_zfmisc_1(X1),k2_xboole_0(X3,X2))
| ~ r2_hidden(X0,sK25(k1_zfmisc_1(X1),k2_xboole_0(X2,X3))) ),
inference(superposition,[status(thm)],[c_331819,c_104]) ).
tcf(c_344645,plain,
! [X0: $i] :
( r2_hidden(X0,sK212)
| ~ r2_hidden(X0,sK211(sK212)) ),
inference(superposition,[status(thm)],[c_331969,c_104]) ).
tcf(c_344646,plain,
! [X0: $i] :
( r2_hidden(X0,k5_finsub_1(sK413))
| ~ r2_hidden(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_333098,c_104]) ).
tcf(c_344647,plain,
! [X0: $i] :
( r2_hidden(X0,sK413)
| ~ r2_hidden(X0,sK47(k5_finsub_1(sK413))) ),
inference(superposition,[status(thm)],[c_333104,c_104]) ).
tcf(c_344648,plain,
! [X0: $i] :
( r2_hidden(X0,k5_finsub_1(sK413))
| ~ r2_hidden(X0,k2_tarski(sK413,sK413)) ),
inference(superposition,[status(thm)],[c_333125,c_104]) ).
tcf(c_344649,plain,
! [X0: $i] :
( r2_hidden(X0,sK413)
| ~ r2_hidden(X0,sK53(sK413)) ),
inference(superposition,[status(thm)],[c_334147,c_104]) ).
tcf(c_344650,plain,
! [X0: $i] :
( r2_hidden(X0,sK413)
| ~ r2_hidden(X0,sK210(sK413)) ),
inference(superposition,[status(thm)],[c_334414,c_104]) ).
tcf(c_344651,plain,
! [X0: $i] :
( r2_hidden(X0,sK413)
| ~ r2_hidden(X0,sK211(sK413)) ),
inference(superposition,[status(thm)],[c_334452,c_104]) ).
tcf(c_344652,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k2_xboole_0(X1,k1_numbers))
| ~ r2_hidden(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_341107,c_104]) ).
tcf(c_344653,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k2_xboole_0(k1_numbers,X1))
| ~ r2_hidden(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_341360,c_104]) ).
tcf(c_344654,plain,
! [X0: $i] :
( r2_hidden(X0,sK413)
| ~ r2_hidden(X0,sK25(k5_finsub_1(sK413),np__0)) ),
inference(superposition,[status(thm)],[c_333111,c_104]) ).
tcf(c_344655,plain,
! [X0: $i] :
( r2_hidden(X0,sK212)
| ~ r2_hidden(X0,sK25(k5_finsub_1(sK212),np__0)) ),
inference(superposition,[status(thm)],[c_331606,c_104]) ).
tcf(c_344656,plain,
! [X0: $i] :
( r2_hidden(X0,sK205)
| ~ r2_hidden(X0,sK25(k5_finsub_1(sK205),np__0)) ),
inference(superposition,[status(thm)],[c_331197,c_104]) ).
tcf(c_344803,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(np__0),X1)
| ~ r2_hidden(X0,sK28(k5_finsub_1(np__0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_344626,c_168]) ).
tcf(c_345016,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| m1_subset_1(sK47(k2_xboole_0(X0,k2_tarski(X1,X1))),k2_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(superposition,[status(thm)],[c_328348,c_230]) ).
tcf(c_345018,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| ~ v1_xboole_0(k2_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(superposition,[status(thm)],[c_326591,c_230]) ).
tcf(c_345020,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k2_zfmisc_1(k1_relat_1(k2_xboole_0(X0,k2_tarski(X1,X1))),k2_relat_1(k2_xboole_0(X0,k2_tarski(X1,X1)))))
| ~ v1_relat_1(k2_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(superposition,[status(thm)],[c_430,c_230]) ).
tcf(c_345021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,k2_zfmisc_1(X2,X3))
| ~ m1_relset_1(k2_xboole_0(X0,k2_tarski(X1,X1)),X2,X3) ),
inference(superposition,[status(thm)],[c_1063,c_230]) ).
tcf(c_345022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,k2_xboole_0(X3,X2))
| ~ r1_tarski(k2_xboole_0(X0,k2_tarski(X1,X1)),X2) ),
inference(superposition,[status(thm)],[c_515,c_230]) ).
tcf(c_345023,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_xboole_0(k2_xboole_0(X1,k2_tarski(X0,X0)),X2)),
inference(superposition,[status(thm)],[c_518,c_230]) ).
tcf(c_345024,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_xboole_0(X1,k2_xboole_0(X2,k2_tarski(X0,X0)))),
inference(superposition,[status(thm)],[c_326993,c_230]) ).
tcf(c_345026,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X2)
| r2_hidden(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_tarski(k2_xboole_0(X0,k2_tarski(X1,X1)),k7_lopclset(X2)) ),
inference(superposition,[status(thm)],[c_343633,c_230]) ).
tcf(c_345027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r2_hidden(X0,k2_xboole_0(X1,k2_xboole_0(k2_xboole_0(X2,k2_tarski(X0,X0)),X3))),
inference(superposition,[status(thm)],[c_330474,c_230]) ).
tcf(c_345030,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ r1_tarski(k2_xboole_0(k2_tarski(X0,X0),X1),X2) ),
inference(superposition,[status(thm)],[c_524,c_230]) ).
tcf(c_345031,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ~ r1_tarski(k2_tarski(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_327052,c_230]) ).
tcf(c_345032,plain,
! [X0: $i,X1: $i] :
( r2_hidden(np__0,X1)
| ~ r1_tarski(k2_xboole_0(X0,k5_finsub_1(np__0)),X1) ),
inference(superposition,[status(thm)],[c_919,c_230]) ).
tcf(c_345033,plain,
! [X0: $i,X1: $i] :
( r2_hidden(np__1,X1)
| ~ r1_tarski(k2_xboole_0(X0,k2_finseq_1(np__1)),X1) ),
inference(superposition,[status(thm)],[c_1820,c_230]) ).
tcf(c_345036,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_xboole_0(X1,k2_xboole_0(k2_tarski(X0,X0),X2))),
inference(theory_normalisation,[status(thm)],[c_345023,c_521,c_524]) ).
tcf(c_345045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r2_hidden(X0,k2_xboole_0(X1,k2_xboole_0(X2,k2_xboole_0(k2_tarski(X0,X0),X3)))),
inference(theory_normalisation,[status(thm)],[c_345027,c_521,c_524]) ).
tcf(c_345064,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_relat_1(k7_relat_1(sK58(X0,X1),X2)),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(sK58(X0,X1)) ),
inference(superposition,[status(thm)],[c_246,c_2268]) ).
tcf(c_345065,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK58(X0,X1),k2_zfmisc_1(X0,k2_relat_1(sK58(X0,X1))))
| ( X0 = np__0 )
| ~ v1_relat_1(sK58(X0,X1)) ),
inference(superposition,[status(thm)],[c_246,c_430]) ).
tcf(c_345066,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k10_relat_1(sK58(X0,X1),X2),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(sK58(X0,X1)) ),
inference(superposition,[status(thm)],[c_246,c_2325]) ).
tcf(c_345070,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK58(X0,X1)) ),
inference(superposition,[status(thm)],[c_246,c_326886]) ).
tcf(c_345071,plain,
! [X0: $i,X1: $i] :
( v5_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK58(X0,X1)) ),
inference(superposition,[status(thm)],[c_246,c_325223]) ).
tcf(c_345072,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK58(X0,X1)) ),
inference(superposition,[status(thm)],[c_246,c_325212]) ).
tcf(c_345073,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK58(X0,X1)) ),
inference(superposition,[status(thm)],[c_246,c_324291]) ).
tcf(c_345074,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK58(X0,X1)) ),
inference(superposition,[status(thm)],[c_246,c_324290]) ).
tcf(c_345075,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK58(X0,X1)) ),
inference(superposition,[status(thm)],[c_246,c_324289]) ).
tcf(c_345076,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK58(X0,X1)) ),
inference(superposition,[status(thm)],[c_246,c_324288]) ).
tcf(c_345077,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK58(X0,X1)) ),
inference(superposition,[status(thm)],[c_246,c_434]) ).
tcf(c_345078,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK58(X0,X1)) ),
inference(superposition,[status(thm)],[c_246,c_433]) ).
tcf(c_345129,plain,
( ( k7_relat_1(sK47(k5_finsub_1(sK212)),k1_relat_1(sK47(k5_finsub_1(sK212)))) = sK47(k5_finsub_1(sK212)) )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331806,c_2261]) ).
tcf(c_345130,plain,
( ( k9_relat_1(sK47(k5_finsub_1(sK212)),np__0) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331806,c_2363]) ).
tcf(c_345131,plain,
( ( k10_relat_1(sK47(k5_finsub_1(sK212)),np__0) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331806,c_2321]) ).
tcf(c_345132,plain,
( ( k7_relat_1(sK47(k5_finsub_1(sK212)),np__0) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331806,c_2249]) ).
tcf(c_345133,plain,
( ( k5_relat_1(sK47(k5_finsub_1(sK212)),np__0) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331806,c_1272]) ).
tcf(c_345134,plain,
( ( k5_relat_1(np__0,sK47(k5_finsub_1(sK212))) = np__0 )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331806,c_1271]) ).
tcf(c_345151,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_2491,c_332118]) ).
tcf(c_345152,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2047,c_332118]) ).
tcf(c_345155,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2051,c_332118]) ).
tcf(c_345174,plain,
! [X0: $i] :
( v1_xcmplx_0(sK400(X0))
| ( X0 = k5_numbers )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2037,c_345155]) ).
tcf(c_345175,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK401(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2038,c_345155]) ).
tcf(c_345195,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_2491,c_332119]) ).
tcf(c_345196,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2047,c_332119]) ).
tcf(c_345263,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X2)
| m1_subset_1(sK47(X1),X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_328348,c_344348]) ).
tcf(c_345264,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X2)
| r2_hidden(sK47(X1),X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_326624,c_344348]) ).
tcf(c_345265,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X2)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_326591,c_344348]) ).
tcf(c_345266,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_96,c_344348]) ).
tcf(c_345268,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X2)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X1,k7_lopclset(X2))
| ~ r1_tarski(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_281,c_344348]) ).
tcf(c_345269,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ( k7_lopclset(X1) = np__0 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k2_relat_1(sK89(k7_lopclset(X1),X2))) ),
inference(superposition,[status(thm)],[c_406,c_344348]) ).
tcf(c_345270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X3)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X3)))
| ~ l3_lattices(X3)
| ~ v17_lattices(X3)
| ~ v10_lattices(X3)
| ~ r1_tarski(X1,k7_lopclset(X3))
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_812,c_344348]) ).
tcf(c_345271,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k4_xboole_0(k7_lopclset(X1),X2)) ),
inference(superposition,[status(thm)],[c_819,c_344348]) ).
tcf(c_345272,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_relat_1(k7_lopclset(X1))
| ~ r1_tarski(X0,k7_relat_1(k7_lopclset(X1),X2)) ),
inference(superposition,[status(thm)],[c_2269,c_344348]) ).
tcf(c_345273,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X2)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_relat_1(X1)
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_tarski(X0,k1_relat_1(k7_relat_1(X1,k7_lopclset(X2)))) ),
inference(superposition,[status(thm)],[c_2270,c_344348]) ).
tcf(c_345274,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v1_xboole_0(k7_lopclset(X1))
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,sK53(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_326377,c_344348]) ).
tcf(c_345275,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v1_xboole_0(k7_lopclset(X1))
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,sK210(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_326378,c_344348]) ).
tcf(c_345276,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v1_xboole_0(k7_lopclset(X1))
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,sK211(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_326379,c_344348]) ).
tcf(c_345277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X2,X3)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X3,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,sK26(k5_finsub_1(k7_lopclset(X1)),X2,X3)) ),
inference(superposition,[status(thm)],[c_323884,c_344348]) ).
tcf(c_345278,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,sK29(k5_finsub_1(k7_lopclset(X1)))) ),
inference(superposition,[status(thm)],[c_323947,c_344348]) ).
tcf(c_345279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| r1_tarski(k5_finsub_1(k7_lopclset(X1)),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X4,X3))))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(k5_finsub_1(k7_lopclset(X1)),k2_xboole_0(X3,X4))
| ~ r1_tarski(X0,sK25(k5_finsub_1(k7_lopclset(X1)),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X3,X4))))) ),
inference(superposition,[status(thm)],[c_327049,c_344348]) ).
tcf(c_345280,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X2)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X2)))
| r1_tarski(sK47(k5_finsub_1(X1)),X1)
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_330228,c_344348]) ).
tcf(c_345281,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X2)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,k7_lopclset(X2)))) ),
inference(superposition,[status(thm)],[c_324338,c_344348]) ).
tcf(c_345282,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v1_xboole_0(k7_lopclset(X1))
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,sK207(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_325276,c_344348]) ).
tcf(c_345283,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| r1_tarski(k5_finsub_1(k7_lopclset(X1)),X2)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,sK25(k5_finsub_1(k7_lopclset(X1)),X2)) ),
inference(superposition,[status(thm)],[c_328506,c_344348]) ).
tcf(c_345284,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,sK29(k1_zfmisc_1(k7_lopclset(X1)))) ),
inference(superposition,[status(thm)],[c_326374,c_344348]) ).
tcf(c_345285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X2,X3)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X3,k1_zfmisc_1(k7_lopclset(X1)))
| ~ r1_tarski(X2,k1_zfmisc_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,sK26(k1_zfmisc_1(k7_lopclset(X1)),X2,X3)) ),
inference(superposition,[status(thm)],[c_326381,c_344348]) ).
tcf(c_345286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| r1_tarski(k1_zfmisc_1(k7_lopclset(X1)),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X4,X3))))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(k1_zfmisc_1(k7_lopclset(X1)),k2_xboole_0(X4,X3))
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(k7_lopclset(X1)),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X3,X4))))) ),
inference(superposition,[status(thm)],[c_328021,c_344348]) ).
tcf(c_345287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| r1_tarski(k1_zfmisc_1(k7_lopclset(X1)),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X3,X4))))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(k1_zfmisc_1(k7_lopclset(X1)),k2_xboole_0(X4,X3))
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(k7_lopclset(X1)),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X3,X4))))) ),
inference(superposition,[status(thm)],[c_326382,c_344348]) ).
tcf(c_345288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| r1_tarski(k1_zfmisc_1(k7_lopclset(X1)),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X4,X3))))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(k1_zfmisc_1(k7_lopclset(X1)),k2_xboole_0(X3,X4))
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(k7_lopclset(X1)),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X3,X4))))) ),
inference(superposition,[status(thm)],[c_327861,c_344348]) ).
tcf(c_345289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X1)
| r1_tarski(X3,X4)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| r1_tarski(k1_zfmisc_1(k7_lopclset(X1)),sK26(k5_finsub_1(X2),X3,X4))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X4,k5_finsub_1(X2))
| ~ r1_tarski(X3,k5_finsub_1(X2))
| ~ r1_tarski(k1_zfmisc_1(k7_lopclset(X1)),X2)
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(k7_lopclset(X1)),sK26(k5_finsub_1(X2),X3,X4))) ),
inference(superposition,[status(thm)],[c_326385,c_344348]) ).
tcf(c_345290,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| r1_tarski(k1_zfmisc_1(k7_lopclset(X1)),X2)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,sK28(k1_zfmisc_1(k7_lopclset(X1)),X2)) ),
inference(superposition,[status(thm)],[c_326593,c_344348]) ).
tcf(c_345291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| r1_tarski(k5_finsub_1(k7_lopclset(X1)),k2_xboole_0(X3,X2))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,sK25(k5_finsub_1(k7_lopclset(X1)),k2_xboole_0(X2,X3))) ),
inference(superposition,[status(thm)],[c_330258,c_344348]) ).
tcf(c_345292,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,sK47(k1_zfmisc_1(k7_lopclset(X1)))) ),
inference(superposition,[status(thm)],[c_328444,c_344348]) ).
tcf(c_345293,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| r1_tarski(k5_finsub_1(k7_lopclset(X1)),X2)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,sK47(k5_finsub_1(k7_lopclset(X1)))) ),
inference(superposition,[status(thm)],[c_330228,c_344348]) ).
tcf(c_345294,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(k7_lopclset(X1)),np__0)) ),
inference(superposition,[status(thm)],[c_328139,c_344348]) ).
tcf(c_345295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| r1_tarski(k1_zfmisc_1(k7_lopclset(X1)),k4_xboole_0(X2,k4_xboole_0(X2,X3)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(k1_zfmisc_1(k7_lopclset(X1)),X3)
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(k7_lopclset(X1)),k4_xboole_0(X2,k4_xboole_0(X2,X3)))) ),
inference(superposition,[status(thm)],[c_331985,c_344348]) ).
tcf(c_345296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| r1_tarski(k1_zfmisc_1(k7_lopclset(X1)),k2_xboole_0(X2,X3))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(k1_zfmisc_1(k7_lopclset(X1)),k2_xboole_0(X3,X2))
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(k7_lopclset(X1)),k2_xboole_0(X2,X3))) ),
inference(superposition,[status(thm)],[c_331819,c_344348]) ).
tcf(c_345544,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r1_tarski(sK62(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_300,c_72]) ).
tcf(c_345545,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xcmplx_0(sK62(X0))
| ~ l1_struct_0(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_300,c_1808]) ).
tcf(c_345546,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xreal_0(sK62(X0))
| ~ l1_struct_0(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_300,c_1807]) ).
tcf(c_345547,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xcmplx_0(sK62(X0))
| ~ l1_struct_0(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_300,c_1806]) ).
tcf(c_345548,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(sK62(X0))
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_300,c_190]) ).
tcf(c_345549,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK62(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_300,c_188]) ).
tcf(c_345565,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r2_hidden(sK62(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_345549,c_213]) ).
tcf(c_345654,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_relat_1(k7_relat_1(sK89(X0,X1),X2)),X1)
| ( X0 = np__0 )
| ~ v1_relat_1(sK89(X0,X1)) ),
inference(superposition,[status(thm)],[c_405,c_2268]) ).
tcf(c_345655,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK89(X0,X1),k2_zfmisc_1(X1,k2_relat_1(sK89(X0,X1))))
| ( X0 = np__0 )
| ~ v1_relat_1(sK89(X0,X1)) ),
inference(superposition,[status(thm)],[c_405,c_430]) ).
tcf(c_345656,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k10_relat_1(sK89(X0,X1),X2),X1)
| ( X0 = np__0 )
| ~ v1_relat_1(sK89(X0,X1)) ),
inference(superposition,[status(thm)],[c_405,c_2325]) ).
tcf(c_345657,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK89(X0,X1))
| ( X0 = np__0 )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(sK89(X0,X1)) ),
inference(superposition,[status(thm)],[c_405,c_435]) ).
tcf(c_345660,plain,
! [X0: $i,X1: $i] :
( v2_membered(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK89(X0,X1)) ),
inference(superposition,[status(thm)],[c_405,c_326886]) ).
tcf(c_345661,plain,
! [X0: $i,X1: $i] :
( v5_membered(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK89(X0,X1)) ),
inference(superposition,[status(thm)],[c_405,c_325223]) ).
tcf(c_345662,plain,
! [X0: $i,X1: $i] :
( v1_membered(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK89(X0,X1)) ),
inference(superposition,[status(thm)],[c_405,c_325212]) ).
tcf(c_345663,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK89(X0,X1)) ),
inference(superposition,[status(thm)],[c_405,c_324291]) ).
tcf(c_345664,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK89(X0,X1)) ),
inference(superposition,[status(thm)],[c_405,c_324290]) ).
tcf(c_345665,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK89(X0,X1)) ),
inference(superposition,[status(thm)],[c_405,c_324289]) ).
tcf(c_345666,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK89(X0,X1)) ),
inference(superposition,[status(thm)],[c_405,c_324288]) ).
tcf(c_345667,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK89(X0,X1)) ),
inference(superposition,[status(thm)],[c_405,c_434]) ).
tcf(c_345668,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK89(X0,X1)) ),
inference(superposition,[status(thm)],[c_405,c_433]) ).
tcf(c_345719,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X1,X2))
| m1_subset_1(sK47(k4_xboole_0(X0,X1)),k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328348,c_494]) ).
tcf(c_345720,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X1,X2))
| r2_hidden(sK47(k4_xboole_0(X0,X1)),k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_326624,c_494]) ).
tcf(c_345721,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X1,X2))
| ~ v1_xboole_0(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_326591,c_494]) ).
tcf(c_345723,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_xboole_0(X1,k2_zfmisc_1(k1_relat_1(k4_xboole_0(X0,X1)),k2_relat_1(k4_xboole_0(X0,X1)))))
| ~ v1_relat_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_430,c_494]) ).
tcf(c_345724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_xboole_0(X1,k2_zfmisc_1(X2,X3)))
| ~ m1_relset_1(k4_xboole_0(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_1063,c_494]) ).
tcf(c_345725,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(X0,k2_xboole_0(k4_xboole_0(X0,X1),k2_xboole_0(X0,X2))),
inference(superposition,[status(thm)],[c_502,c_494]) ).
tcf(c_345726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_xboole_0(X1,k2_xboole_0(X3,X2)))
| ~ r1_tarski(k4_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_515,c_494]) ).
tcf(c_345727,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(X0,k2_xboole_0(X1,k2_xboole_0(k4_xboole_0(X0,X1),X2))),
inference(superposition,[status(thm)],[c_518,c_494]) ).
tcf(c_345730,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(X0,k2_xboole_0(X1,k2_xboole_0(X2,k4_xboole_0(X0,X1)))),
inference(superposition,[status(thm)],[c_326993,c_494]) ).
tcf(c_345731,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(X0,k2_xboole_0(k4_xboole_0(X0,k2_xboole_0(X1,X2)),k2_xboole_0(X2,X1))),
inference(superposition,[status(thm)],[c_34474,c_494]) ).
tcf(c_345732,plain,
! [X0: $i,X1: $i] : r1_tarski(X0,k2_xboole_0(k4_xboole_0(X0,X1),X1)),
inference(superposition,[status(thm)],[c_324338,c_494]) ).
tcf(c_345733,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X2)
| r1_tarski(X0,k2_xboole_0(X1,k1_zfmisc_1(u1_struct_0(X2))))
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_tarski(k4_xboole_0(X0,X1),k7_lopclset(X2)) ),
inference(superposition,[status(thm)],[c_343633,c_494]) ).
tcf(c_345734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(X0,k2_xboole_0(X1,k2_xboole_0(X2,k2_xboole_0(k4_xboole_0(X0,X1),X3)))),
inference(superposition,[status(thm)],[c_330474,c_494]) ).
tcf(c_345735,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,k2_xboole_0(k2_xboole_0(X1,X2),X0))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_492,c_494]) ).
tcf(c_345736,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_xboole_0(X0,X1),k2_xboole_0(X1,X2))
| ~ r1_tarski(k4_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_498,c_494]) ).
tcf(c_345737,plain,
! [X0: $i,X1: $i] :
( r1_tarski(np__0,k2_xboole_0(X1,X0))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_824,c_494]) ).
tcf(c_345738,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_xboole_0(np__0,X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_825,c_494]) ).
tcf(c_345739,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k2_xboole_0(X1,X0))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_30376,c_494]) ).
tcf(c_345740,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_tarski(X1,X1),k2_xboole_0(k2_tarski(X1,X2),X0))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_1422,c_494]) ).
tcf(c_345741,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_tarski(X1,X1),k2_xboole_0(k2_tarski(X2,X1),X0))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_1382,c_494]) ).
tcf(c_345743,plain,
! [X0: $i,X1: $i] : r1_tarski(X0,k2_xboole_0(X1,k4_xboole_0(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_345732,c_521,c_524]) ).
tcf(c_345746,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(X0,k2_xboole_0(X0,k2_xboole_0(X1,k4_xboole_0(X0,X2)))),
inference(theory_normalisation,[status(thm)],[c_345725,c_521,c_524]) ).
tcf(c_345749,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,k2_xboole_0(X1,k2_xboole_0(X2,X0)))
| ~ r1_tarski(np__0,X0) ),
inference(theory_normalisation,[status(thm)],[c_345735,c_521,c_524]) ).
tcf(c_345750,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(X0,k2_xboole_0(X1,k2_xboole_0(X2,k4_xboole_0(X0,k2_xboole_0(X1,X2))))),
inference(theory_normalisation,[status(thm)],[c_345731,c_521,c_524]) ).
tcf(c_345751,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X0),k2_xboole_0(k2_tarski(X1,X0),X2)),
inference(forward_subsumption_resolution,[status(thm)],[c_345741,c_96]) ).
tcf(c_345752,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X0),k2_xboole_0(k2_tarski(X0,X1),X2)),
inference(forward_subsumption_resolution,[status(thm)],[c_345740,c_96]) ).
tcf(c_345775,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK47(X0),X0)
| r1_tarski(k4_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_328348,c_495]) ).
tcf(c_345776,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK47(X0),X0)
| r1_tarski(k4_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_326624,c_495]) ).
tcf(c_345777,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_326591,c_495]) ).
tcf(c_345779,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(k2_xboole_0(X0,X1),X0),X1),
inference(superposition,[status(thm)],[c_101,c_495]) ).
tcf(c_345780,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k2_tarski(X0,X0),X1),X2)
| ~ r2_hidden(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_281,c_495]) ).
tcf(c_345781,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k2_relat_1(sK89(k2_xboole_0(X0,X1),X2)),X0),X1)
| ( k2_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_406,c_495]) ).
tcf(c_345782,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X0),X2),
inference(superposition,[status(thm)],[c_502,c_495]) ).
tcf(c_345784,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X0),X1),
inference(superposition,[status(thm)],[c_518,c_495]) ).
tcf(c_345785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k4_xboole_0(k4_xboole_0(X0,X3),X1),X2)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_812,c_495]) ).
tcf(c_345786,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k4_xboole_0(k2_xboole_0(X0,X1),X2),X0),X1),
inference(superposition,[status(thm)],[c_819,c_495]) ).
tcf(c_345787,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k7_relat_1(k2_xboole_0(X0,X1),X2),X0),X1)
| ~ v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2269,c_495]) ).
tcf(c_345788,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k1_relat_1(k7_relat_1(X0,k2_xboole_0(X1,X2))),X1),X2)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2270,c_495]) ).
tcf(c_345789,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_xboole_0(X0,X1))
| r1_tarski(k4_xboole_0(sK53(k2_xboole_0(X0,X1)),X0),X1) ),
inference(superposition,[status(thm)],[c_326377,c_495]) ).
tcf(c_345791,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_xboole_0(X0,X1))
| r1_tarski(k4_xboole_0(sK210(k2_xboole_0(X0,X1)),X0),X1) ),
inference(superposition,[status(thm)],[c_326378,c_495]) ).
tcf(c_345792,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_xboole_0(X0,X1))
| r1_tarski(k4_xboole_0(sK211(k2_xboole_0(X0,X1)),X0),X1) ),
inference(superposition,[status(thm)],[c_326379,c_495]) ).
tcf(c_345793,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(k1_zfmisc_1(k4_xboole_0(X0,X1)),k5_finsub_1(np__0)),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),
inference(superposition,[status(thm)],[c_33271,c_495]) ).
tcf(c_345794,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))),X2),X1),
inference(superposition,[status(thm)],[c_34474,c_495]) ).
tcf(c_345795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X0)
| r1_tarski(k4_xboole_0(sK26(k5_finsub_1(k2_xboole_0(X1,X2)),X3,X0),X1),X2)
| ~ r1_tarski(X3,k5_finsub_1(k2_xboole_0(X1,X2)))
| ~ r1_tarski(X0,k5_finsub_1(k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_323884,c_495]) ).
tcf(c_345796,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(sK29(k5_finsub_1(k2_xboole_0(X0,X1))),X0),X1),
inference(superposition,[status(thm)],[c_323947,c_495]) ).
tcf(c_345797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k5_finsub_1(k2_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_tarski(k4_xboole_0(sK25(k5_finsub_1(k2_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),X0),X1)
| ~ r1_tarski(k5_finsub_1(k2_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_327049,c_495]) ).
tcf(c_345798,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK47(k5_finsub_1(X0)),X0)
| r1_tarski(k4_xboole_0(k5_finsub_1(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_330228,c_495]) ).
tcf(c_345799,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(X1,X2))),X1),X2),
inference(superposition,[status(thm)],[c_324338,c_495]) ).
tcf(c_345800,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_xboole_0(X0,X1))
| r1_tarski(k4_xboole_0(sK207(k2_xboole_0(X0,X1)),X0),X1) ),
inference(superposition,[status(thm)],[c_325276,c_495]) ).
tcf(c_345801,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(k2_xboole_0(X0,X1),X1),X0),
inference(superposition,[status(thm)],[c_326816,c_495]) ).
tcf(c_345802,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k2_xboole_0(X0,X1)),X2)
| r1_tarski(k4_xboole_0(sK25(k5_finsub_1(k2_xboole_0(X0,X1)),X2),X0),X1) ),
inference(superposition,[status(thm)],[c_328506,c_495]) ).
tcf(c_345803,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(sK29(k1_zfmisc_1(k2_xboole_0(X0,X1))),X0),X1),
inference(superposition,[status(thm)],[c_326374,c_495]) ).
tcf(c_345804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,X0)
| r1_tarski(k4_xboole_0(sK26(k1_zfmisc_1(k2_xboole_0(X1,X2)),X3,X0),X1),X2)
| ~ r1_tarski(X3,k1_zfmisc_1(k2_xboole_0(X1,X2)))
| ~ r1_tarski(X0,k1_zfmisc_1(k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_326381,c_495]) ).
tcf(c_345805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3))))
| r1_tarski(k4_xboole_0(sK25(k1_zfmisc_1(k2_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),X0),X1)
| ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_328021,c_495]) ).
tcf(c_345806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_tarski(k4_xboole_0(sK25(k1_zfmisc_1(k2_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),X0),X1)
| ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_326382,c_495]) ).
tcf(c_345807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_tarski(k4_xboole_0(sK25(k1_zfmisc_1(k2_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),X0),X1)
| ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_327861,c_495]) ).
tcf(c_345808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X4,X3)
| r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),sK26(k5_finsub_1(X2),X4,X3))
| r1_tarski(k4_xboole_0(sK25(k1_zfmisc_1(k2_xboole_0(X0,X1)),sK26(k5_finsub_1(X2),X4,X3)),X0),X1)
| ~ r1_tarski(X4,k5_finsub_1(X2))
| ~ r1_tarski(X3,k5_finsub_1(X2))
| ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_326385,c_495]) ).
tcf(c_345809,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),X2)
| r1_tarski(k4_xboole_0(sK28(k1_zfmisc_1(k2_xboole_0(X0,X1)),X2),X0),X1) ),
inference(superposition,[status(thm)],[c_326593,c_495]) ).
tcf(c_345810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(k2_xboole_0(X0,X1)),k2_xboole_0(X3,X2))
| r1_tarski(k4_xboole_0(sK25(k5_finsub_1(k2_xboole_0(X0,X1)),k2_xboole_0(X2,X3)),X0),X1) ),
inference(superposition,[status(thm)],[c_330258,c_495]) ).
tcf(c_345811,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(sK47(k1_zfmisc_1(k2_xboole_0(X0,X1))),X0),X1),
inference(superposition,[status(thm)],[c_328444,c_495]) ).
tcf(c_345812,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k2_xboole_0(X0,X1)),X2)
| r1_tarski(k4_xboole_0(sK47(k5_finsub_1(k2_xboole_0(X0,X1))),X0),X1) ),
inference(superposition,[status(thm)],[c_330228,c_495]) ).
tcf(c_345813,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(sK25(k1_zfmisc_1(k2_xboole_0(X0,X1)),np__0),X0),X1),
inference(superposition,[status(thm)],[c_328139,c_495]) ).
tcf(c_345814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),k4_xboole_0(X3,k4_xboole_0(X3,X2)))
| r1_tarski(k4_xboole_0(sK25(k1_zfmisc_1(k2_xboole_0(X0,X1)),k4_xboole_0(X3,k4_xboole_0(X3,X2))),X0),X1)
| ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_331985,c_495]) ).
tcf(c_345815,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,X1),k2_xboole_0(X0,X2)),
inference(superposition,[status(thm)],[c_330474,c_495]) ).
tcf(c_345816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),k2_xboole_0(X3,X2))
| r1_tarski(k4_xboole_0(sK25(k1_zfmisc_1(k2_xboole_0(X0,X1)),k2_xboole_0(X3,X2)),X0),X1)
| ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_331819,c_495]) ).
tcf(c_345817,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(k5_numbers,X0),k1_numbers),
inference(superposition,[status(thm)],[c_341107,c_495]) ).
tcf(c_345818,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(k5_numbers,k1_numbers),X0),
inference(superposition,[status(thm)],[c_341360,c_495]) ).
tcf(c_345820,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_499,c_495]) ).
tcf(c_345821,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),k2_xboole_0(X1,X2))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_519,c_495]) ).
tcf(c_345822,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_xboole_0(X0,X1),np__0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_522,c_495]) ).
tcf(c_345823,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_xboole_0(X0,X1),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_523,c_495]) ).
tcf(c_345824,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_524,c_495]) ).
tcf(c_345825,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_xboole_0(X0,np__0),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_327052,c_495]) ).
tcf(c_345826,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_31762,c_495]) ).
tcf(c_345827,plain,
! [X0: $i] :
( r1_tarski(k4_xboole_0(X0,k5_numbers),k1_numbers)
| ~ r1_tarski(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_336848,c_495]) ).
tcf(c_345939,plain,
r1_tarski(np__0,k1_numbers),
inference(superposition,[status(thm)],[c_30376,c_345817]) ).
tcf(c_345941,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_numbers)
| ~ r1_tarski(X0,k4_xboole_0(k5_numbers,X1)) ),
inference(superposition,[status(thm)],[c_345817,c_97]) ).
tcf(c_345942,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_numbers)
| ~ r2_hidden(X0,k4_xboole_0(k5_numbers,X1)) ),
inference(superposition,[status(thm)],[c_345817,c_104]) ).
tcf(c_345943,plain,
! [X0: $i] :
( v1_xboole_0(k4_xboole_0(k5_numbers,X0))
| ~ r1_xboole_0(k4_xboole_0(k5_numbers,X0),k1_numbers) ),
inference(superposition,[status(thm)],[c_345817,c_2426]) ).
tcf(c_345944,plain,
! [X0: $i] : k4_xboole_0(k4_xboole_0(k5_numbers,X0),k1_numbers) = np__0,
inference(superposition,[status(thm)],[c_345817,c_817]) ).
tcf(c_345945,plain,
! [X0: $i] : k2_xboole_0(k4_xboole_0(k5_numbers,X0),k1_numbers) = k1_numbers,
inference(superposition,[status(thm)],[c_345817,c_513]) ).
tcf(c_345948,plain,
! [X0: $i] :
( v1_relat_1(k4_xboole_0(k5_numbers,X0))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_345817,c_70]) ).
tcf(c_345949,plain,
! [X0: $i] : ~ r2_hidden(k1_numbers,k4_xboole_0(k5_numbers,X0)),
inference(superposition,[status(thm)],[c_345817,c_69]) ).
tcf(c_345950,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k4_xboole_0(k5_numbers,X1))
| m1_subset_1(sK25(X0,k4_xboole_0(k5_numbers,X1)),X0)
| ~ r1_tarski(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_345817,c_97752]) ).
tcf(c_345952,plain,
! [X0: $i] : v1_membered(k4_xboole_0(k5_numbers,X0)),
inference(superposition,[status(thm)],[c_345817,c_326348]) ).
tcf(c_345953,plain,
! [X0: $i] : v2_membered(k4_xboole_0(k5_numbers,X0)),
inference(superposition,[status(thm)],[c_345817,c_326347]) ).
tcf(c_345956,plain,
! [X0: $i] : k2_xboole_0(k1_numbers,k4_xboole_0(k5_numbers,X0)) = k1_numbers,
inference(theory_normalisation,[status(thm)],[c_345945,c_521,c_524]) ).
tcf(c_345977,plain,
~ r2_hidden(k1_numbers,np__0),
inference(superposition,[status(thm)],[c_30376,c_345949]) ).
tcf(c_346021,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X0)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2048,c_332660]) ).
tcf(c_346044,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X0)
| r1_tarski(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(sK47(k2_xboole_0(X1,X2)),k2_xboole_0(X1,X2))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_328348,c_344357]) ).
tcf(c_346045,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X0)
| r1_tarski(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK47(k2_xboole_0(X1,X2)),k2_xboole_0(X1,X2))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326624,c_344357]) ).
tcf(c_346046,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X2)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_326591,c_344357]) ).
tcf(c_346052,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X2)
| r1_tarski(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_tarski(k2_xboole_0(X0,X1),k7_lopclset(X2)) ),
inference(superposition,[status(thm)],[c_524,c_344357]) ).
tcf(c_346053,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| r1_tarski(np__0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_327052,c_344357]) ).
tcf(c_346055,plain,
! [X0: $i] :
( v3_realset2(X0)
| r1_tarski(k5_numbers,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(k1_numbers,k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_336848,c_344357]) ).
tcf(c_346095,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k2_xboole_0(X0,X1) != np__0 ) ),
inference(superposition,[status(thm)],[c_524,c_508]) ).
tcf(c_346098,plain,
( ( np__0 = k5_numbers )
| ( np__0 != k1_numbers ) ),
inference(superposition,[status(thm)],[c_336848,c_508]) ).
tcf(c_346108,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_xboole_0(X0,X2),k2_xboole_0(X1,k4_xboole_0(X2,X0)))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_499,c_516]) ).
tcf(c_346109,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_xboole_0(X0,X2),k2_xboole_0(X1,k2_xboole_0(X0,X2)))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_519,c_516]) ).
tcf(c_346110,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_xboole_0(X1,np__0))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_522,c_516]) ).
tcf(c_346112,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_xboole_0(X2,X0),k2_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_524,c_516]) ).
tcf(c_346113,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k2_xboole_0(X0,X1))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_327052,c_516]) ).
tcf(c_346114,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X1,k4_xboole_0(X0,X2)))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_31762,c_516]) ).
tcf(c_346115,plain,
! [X0: $i] :
( r1_tarski(k1_numbers,k2_xboole_0(X0,k1_numbers))
| ~ r1_tarski(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_336848,c_516]) ).
tcf(c_346117,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_xboole_0(X0,k4_xboole_0(X2,X1)),k2_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_499,c_516]) ).
tcf(c_346118,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_xboole_0(X0,k2_xboole_0(X1,X2)),k2_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_519,c_516]) ).
tcf(c_346119,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_xboole_0(X0,np__0),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_522,c_516]) ).
tcf(c_346120,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_xboole_0(X0,X1),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_523,c_516]) ).
tcf(c_346121,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_xboole_0(X0,X2),k2_xboole_0(X2,X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_524,c_516]) ).
tcf(c_346122,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_xboole_0(X0,X1),X1)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_327052,c_516]) ).
tcf(c_346123,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_xboole_0(X0,k4_xboole_0(X1,X2)),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_31762,c_516]) ).
tcf(c_346124,plain,
! [X0: $i] :
( r1_tarski(k2_xboole_0(X0,k1_numbers),k1_numbers)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_336848,c_516]) ).
tcf(c_346125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_xboole_0(X3,X2))
| ~ r1_tarski(X1,X3)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_516,c_97]) ).
tcf(c_346126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k2_xboole_0(X3,X2))
| ~ r1_tarski(X1,X3)
| ~ r2_hidden(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_516,c_104]) ).
tcf(c_346127,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k2_xboole_0(X0,X1))
| ~ r1_tarski(X0,X2)
| ~ r1_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X2,X1)) ),
inference(superposition,[status(thm)],[c_516,c_2426]) ).
tcf(c_346128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k2_xboole_0(X0,X2),k2_xboole_0(X1,X2)) = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_516,c_817]) ).
tcf(c_346129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(k2_xboole_0(X0,X2),k2_xboole_0(X1,X2)) = k2_xboole_0(X1,X2) )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_516,c_513]) ).
tcf(c_346130,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_xboole_0(X2,X1))
| ~ r1_tarski(X2,X0)
| ~ v1_membered(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_516,c_2460]) ).
tcf(c_346131,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_xboole_0(X2,X1))
| ~ r1_tarski(X2,X0)
| ~ v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_516,c_872]) ).
tcf(c_346132,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k2_xboole_0(X2,X1))
| ~ r1_tarski(X2,X0)
| ~ v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_516,c_70]) ).
tcf(c_346133,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_tarski(X2,X0)
| ~ r2_hidden(k2_xboole_0(X0,X1),k2_xboole_0(X2,X1)) ),
inference(superposition,[status(thm)],[c_516,c_69]) ).
tcf(c_346134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_xboole_0(X3,X2))
| m1_subset_1(sK25(X0,k2_xboole_0(X3,X2)),X0)
| ~ r1_tarski(X3,X1)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_516,c_97752]) ).
tcf(c_346135,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,k2_xboole_0(X1,k2_tarski(X2,X2)))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_516,c_230]) ).
tcf(c_346136,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k2_xboole_0(X0,X2),X1),X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_516,c_495]) ).
tcf(c_346138,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_xboole_0(X0,k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2))),k1_zfmisc_1(k4_xboole_0(X1,X2)))
| m1_subset_1(sK25(k2_xboole_0(X0,k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2))),k1_zfmisc_1(k4_xboole_0(X1,X2))),k2_xboole_0(X0,k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X2))))
| ~ r1_tarski(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_516,c_323864]) ).
tcf(c_346184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(X0,k2_xboole_0(X2,k2_xboole_0(X1,X2))) = k2_xboole_0(X1,X2) )
| ~ r1_tarski(X0,X1) ),
inference(theory_normalisation,[status(thm)],[c_346129,c_521,c_524]) ).
tcf(c_346217,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK115(X1),X1)
| r1_tarski(X0,k2_zfmisc_1(sK116(X1),sK117(X1)))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_556,c_97]) ).
tcf(c_346218,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK115(X1),X1)
| r2_hidden(X0,k2_zfmisc_1(sK116(X1),sK117(X1)))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_556,c_104]) ).
tcf(c_346219,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK115(X0),X0)
| ~ r1_xboole_0(X0,k2_zfmisc_1(sK116(X0),sK117(X0))) ),
inference(superposition,[status(thm)],[c_556,c_2426]) ).
tcf(c_346220,plain,
! [X0: $i] :
( r2_hidden(sK115(X0),X0)
| ( k4_xboole_0(X0,k2_zfmisc_1(sK116(X0),sK117(X0))) = np__0 ) ),
inference(superposition,[status(thm)],[c_556,c_817]) ).
tcf(c_346221,plain,
! [X0: $i] :
( r2_hidden(sK115(X0),X0)
| ( k2_xboole_0(X0,k2_zfmisc_1(sK116(X0),sK117(X0))) = k2_zfmisc_1(sK116(X0),sK117(X0)) ) ),
inference(superposition,[status(thm)],[c_556,c_513]) ).
tcf(c_346222,plain,
! [X0: $i] :
( v1_membered(X0)
| r2_hidden(sK115(X0),X0)
| ~ v1_membered(k2_zfmisc_1(sK116(X0),sK117(X0))) ),
inference(superposition,[status(thm)],[c_556,c_2460]) ).
tcf(c_346223,plain,
! [X0: $i] :
( v1_finset_1(X0)
| r2_hidden(sK115(X0),X0)
| ~ v1_finset_1(k2_zfmisc_1(sK116(X0),sK117(X0))) ),
inference(superposition,[status(thm)],[c_556,c_872]) ).
tcf(c_346224,plain,
! [X0: $i] :
( v1_relat_1(X0)
| r2_hidden(sK115(X0),X0)
| ~ v1_relat_1(k2_zfmisc_1(sK116(X0),sK117(X0))) ),
inference(superposition,[status(thm)],[c_556,c_70]) ).
tcf(c_346225,plain,
! [X0: $i] :
( r2_hidden(sK115(X0),X0)
| ~ r2_hidden(k2_zfmisc_1(sK116(X0),sK117(X0)),X0) ),
inference(superposition,[status(thm)],[c_556,c_69]) ).
tcf(c_346226,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK115(X1),X1)
| m1_subset_1(sK25(X0,X1),X0)
| ~ r1_tarski(X0,k2_zfmisc_1(sK116(X1),sK117(X1))) ),
inference(superposition,[status(thm)],[c_556,c_97752]) ).
tcf(c_346227,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK115(k2_xboole_0(X1,k2_tarski(X0,X0))),k2_xboole_0(X1,k2_tarski(X0,X0)))
| r2_hidden(X0,k2_zfmisc_1(sK116(k2_xboole_0(X1,k2_tarski(X0,X0))),sK117(k2_xboole_0(X1,k2_tarski(X0,X0))))) ),
inference(superposition,[status(thm)],[c_556,c_230]) ).
tcf(c_346228,plain,
! [X0: $i] :
( r2_hidden(sK115(X0),X0)
| m1_relset_1(X0,sK116(X0),sK117(X0)) ),
inference(superposition,[status(thm)],[c_556,c_1062]) ).
tcf(c_346229,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK115(k4_xboole_0(X0,X1)),k4_xboole_0(X0,X1))
| r1_tarski(X0,k2_xboole_0(X1,k2_zfmisc_1(sK116(k4_xboole_0(X0,X1)),sK117(k4_xboole_0(X0,X1))))) ),
inference(superposition,[status(thm)],[c_556,c_494]) ).
tcf(c_346230,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK115(k2_xboole_0(X0,X1)),k2_xboole_0(X0,X1))
| r1_tarski(X0,k2_zfmisc_1(sK116(k2_xboole_0(X0,X1)),sK117(k2_xboole_0(X0,X1)))) ),
inference(superposition,[status(thm)],[c_556,c_514]) ).
tcf(c_346231,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK115(k2_tarski(X1,X0)),k2_tarski(X1,X0))
| r2_hidden(X0,k2_zfmisc_1(sK116(k2_tarski(X1,X0)),sK117(k2_tarski(X1,X0)))) ),
inference(superposition,[status(thm)],[c_556,c_1413]) ).
tcf(c_346232,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK115(k2_tarski(X0,X1)),k2_tarski(X0,X1))
| r2_hidden(X0,k2_zfmisc_1(sK116(k2_tarski(X0,X1)),sK117(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_556,c_1412]) ).
tcf(c_346237,plain,
! [X0: $i] :
( v1_relat_1(X0)
| r2_hidden(sK115(X0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_346224,c_225]) ).
tcf(c_346318,plain,
( ~ m1_subset_1(np__0,sK202)
| ~ v1_xboole_0(k4_xboole_0(sK202,k5_finsub_1(np__0))) ),
inference(superposition,[status(thm)],[c_919,c_787]) ).
tcf(c_346319,plain,
( ~ m1_subset_1(np__1,sK202)
| ~ v1_xboole_0(k4_xboole_0(sK202,k2_finseq_1(np__1))) ),
inference(superposition,[status(thm)],[c_1820,c_787]) ).
tcf(c_346328,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v4_ordinal2(sK115(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_346237,c_2042]) ).
tcf(c_346329,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xcmplx_0(sK115(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_346237,c_1804]) ).
tcf(c_346330,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ r2_hidden(X0,sK115(X0)) ),
inference(superposition,[status(thm)],[c_346237,c_196]) ).
tcf(c_346333,plain,
! [X0: $i] :
( v1_relat_1(X0)
| m1_subset_1(sK115(X0),X0) ),
inference(superposition,[status(thm)],[c_346237,c_186]) ).
tcf(c_346334,plain,
! [X0: $i] :
( v1_relat_1(k1_zfmisc_1(X0))
| r1_tarski(sK115(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_346237,c_94]) ).
tcf(c_346336,plain,
! [X0: $i] :
( v1_relat_1(k2_tarski(X0,X0))
| ( sK115(k2_tarski(X0,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_346237,c_294]) ).
tcf(c_346337,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ r2_hidden(sK115(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_346237,c_831]) ).
tcf(c_346338,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| r2_hidden(sK115(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_346237,c_830]) ).
tcf(c_346339,plain,
( v1_relat_1(k1_numbers)
| v1_xreal_0(sK115(k1_numbers)) ),
inference(superposition,[status(thm)],[c_346237,c_1783]) ).
tcf(c_346364,plain,
( v1_relat_1(k1_numbers)
| ~ v2_xreal_0(sK115(k1_numbers))
| ~ v3_xreal_0(sK115(k1_numbers)) ),
inference(superposition,[status(thm)],[c_346339,c_2171]) ).
tcf(c_346365,plain,
( v1_relat_1(k1_numbers)
| v2_xreal_0(sK115(k1_numbers))
| v3_xreal_0(sK115(k1_numbers))
| v1_xboole_0(sK115(k1_numbers)) ),
inference(superposition,[status(thm)],[c_346339,c_2168]) ).
tcf(c_346366,plain,
( v1_relat_1(k1_numbers)
| v1_xcmplx_0(sK115(k1_numbers)) ),
inference(superposition,[status(thm)],[c_346339,c_1811]) ).
tcf(c_346386,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xreal_0(sK115(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_346333,c_1807]) ).
tcf(c_346387,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xcmplx_0(sK115(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_346333,c_1806]) ).
tcf(c_346388,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xboole_0(sK115(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_346333,c_190]) ).
tcf(c_346390,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK115(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_346333,c_198]) ).
tcf(c_346391,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| v1_finset_1(sK115(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_346333,c_860]) ).
tcf(c_346392,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| r1_tarski(sK115(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_346333,c_93114]) ).
tcf(c_346393,plain,
( v1_relat_1(k5_numbers)
| ~ v3_xreal_0(sK115(k5_numbers)) ),
inference(superposition,[status(thm)],[c_346333,c_2186]) ).
tcf(c_346394,plain,
( v1_relat_1(k5_numbers)
| v1_int_1(sK115(k5_numbers)) ),
inference(superposition,[status(thm)],[c_346333,c_2187]) ).
tcf(c_346395,plain,
( v1_relat_1(k5_numbers)
| v1_xreal_0(sK115(k5_numbers)) ),
inference(superposition,[status(thm)],[c_346333,c_2185]) ).
tcf(c_346396,plain,
( v1_relat_1(k5_numbers)
| v1_xcmplx_0(sK115(k5_numbers)) ),
inference(superposition,[status(thm)],[c_346333,c_2184]) ).
tcf(c_346397,plain,
( v1_relat_1(k5_numbers)
| v4_ordinal2(sK115(k5_numbers)) ),
inference(superposition,[status(thm)],[c_346333,c_2183]) ).
tcf(c_346398,plain,
( v1_relat_1(k5_numbers)
| v1_finset_1(sK115(k5_numbers)) ),
inference(superposition,[status(thm)],[c_346333,c_2174]) ).
tcf(c_346399,plain,
( v1_relat_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK115(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_346333,c_2499]) ).
tcf(c_346400,plain,
( v1_relat_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK115(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_346333,c_2498]) ).
tcf(c_346401,plain,
( v1_relat_1(k5_finsub_1(np__0))
| v1_relat_1(sK115(k5_finsub_1(np__0))) ),
inference(superposition,[status(thm)],[c_346333,c_329824]) ).
tcf(c_346471,plain,
( v1_relat_1(k5_numbers)
| ~ v2_xreal_0(sK115(k5_numbers))
| ~ v3_xreal_0(sK115(k5_numbers)) ),
inference(superposition,[status(thm)],[c_346395,c_2171]) ).
tcf(c_346472,plain,
( v1_relat_1(k5_numbers)
| v2_xreal_0(sK115(k5_numbers))
| v3_xreal_0(sK115(k5_numbers))
| v1_xboole_0(sK115(k5_numbers)) ),
inference(superposition,[status(thm)],[c_346395,c_2168]) ).
tcf(c_346496,plain,
( v1_relat_1(k5_numbers)
| ( k1_card_1(sK204(sK115(k5_numbers))) = k1_card_1(sK115(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_346398,c_835]) ).
tcf(c_346497,plain,
( v1_relat_1(k5_numbers)
| ( k2_relat_1(sK412(sK115(k5_numbers))) = sK115(k5_numbers) ) ),
inference(superposition,[status(thm)],[c_346398,c_2199]) ).
tcf(c_346498,plain,
( v1_relat_1(k5_numbers)
| ( k1_zfmisc_1(sK115(k5_numbers)) = k5_finsub_1(sK115(k5_numbers)) ) ),
inference(superposition,[status(thm)],[c_346398,c_859]) ).
tcf(c_346514,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X1)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2048,c_332661]) ).
tcf(c_346539,plain,
! [X0: $i] :
( v3_realset2(X0)
| m1_subset_1(sK47(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_328348,c_344360]) ).
tcf(c_346540,plain,
! [X0: $i] :
( v3_realset2(X0)
| r2_hidden(sK47(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326624,c_344360]) ).
tcf(c_346541,plain,
! [X0: $i] :
( v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(superposition,[status(thm)],[c_326591,c_344360]) ).
tcf(c_346546,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X1)
| ( k4_xboole_0(X0,k2_tarski(X1,X1)) = X0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_802,c_2042]) ).
tcf(c_346547,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ( k4_xboole_0(X0,k2_tarski(X1,X1)) = X0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_802,c_1804]) ).
tcf(c_346548,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k2_tarski(X1,X1)) = X0 )
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_802,c_196]) ).
tcf(c_346549,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK47(X0),X0)
| ( k4_xboole_0(X0,k2_tarski(X1,X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_802,c_192]) ).
tcf(c_346550,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k2_tarski(X1,X1)) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_802,c_191]) ).
tcf(c_346551,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X1,X0)
| ( k4_xboole_0(X0,k2_tarski(X1,X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_802,c_186]) ).
tcf(c_346552,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| ( k4_xboole_0(k1_zfmisc_1(X0),k2_tarski(X1,X1)) = k1_zfmisc_1(X0) ) ),
inference(superposition,[status(thm)],[c_802,c_94]) ).
tcf(c_346553,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| ( k4_xboole_0(X0,k2_tarski(sK28(X1,X0),sK28(X1,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_802,c_102]) ).
tcf(c_346554,plain,
! [X0: $i] : k4_xboole_0(np__0,k2_tarski(X0,X0)) = np__0,
inference(superposition,[status(thm)],[c_802,c_168]) ).
tcf(c_346556,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k4_xboole_0(X2,X1),k2_tarski(X0,X0)) = k4_xboole_0(X2,X1) )
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_802,c_831]) ).
tcf(c_346557,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X0)
| ( k4_xboole_0(k4_xboole_0(X0,X1),k2_tarski(X2,X2)) = k4_xboole_0(X0,X1) ) ),
inference(superposition,[status(thm)],[c_802,c_830]) ).
tcf(c_346559,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ( k4_xboole_0(k1_numbers,k2_tarski(X0,X0)) = k1_numbers ) ),
inference(superposition,[status(thm)],[c_802,c_1783]) ).
tcf(c_346560,plain,
! [X0: $i] : k4_xboole_0(X0,k2_tarski(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_802,c_326288]) ).
tcf(c_346561,plain,
! [X0: $i] : k4_xboole_0(k2_tarski(X0,X0),k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X0))) = k2_tarski(X0,X0),
inference(superposition,[status(thm)],[c_802,c_326289]) ).
tcf(c_346562,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k2_tarski(k2_xboole_0(X0,X1),k2_xboole_0(X0,X1))) = X0,
inference(superposition,[status(thm)],[c_802,c_326291]) ).
tcf(c_346563,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k4_xboole_0(X0,X1),k2_tarski(X0,X0)) = k4_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_802,c_326292]) ).
tcf(c_346564,plain,
! [X0: $i] : k4_xboole_0(k5_finsub_1(X0),k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X0))) = k5_finsub_1(X0),
inference(superposition,[status(thm)],[c_802,c_326293]) ).
tcf(c_346565,plain,
k4_xboole_0(k5_numbers,k2_tarski(k1_numbers,k1_numbers)) = k5_numbers,
inference(superposition,[status(thm)],[c_802,c_326294]) ).
tcf(c_346566,plain,
! [X0: $i] : k4_xboole_0(sK29(k5_finsub_1(X0)),k2_tarski(X0,X0)) = sK29(k5_finsub_1(X0)),
inference(superposition,[status(thm)],[c_802,c_326301]) ).
tcf(c_346567,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k4_xboole_0(sK207(X0),k2_tarski(X0,X0)) = sK207(X0) ) ),
inference(superposition,[status(thm)],[c_802,c_326310]) ).
tcf(c_346568,plain,
! [X0: $i] : k4_xboole_0(k5_finsub_1(np__0),k2_tarski(k2_tarski(X0,np__0),k2_tarski(X0,np__0))) = k5_finsub_1(np__0),
inference(superposition,[status(thm)],[c_802,c_326311]) ).
tcf(c_346569,plain,
! [X0: $i] : k4_xboole_0(k5_finsub_1(np__0),k2_tarski(k2_tarski(np__0,X0),k2_tarski(np__0,X0))) = k5_finsub_1(np__0),
inference(superposition,[status(thm)],[c_802,c_326312]) ).
tcf(c_346570,plain,
! [X0: $i] : k4_xboole_0(k2_finseq_1(np__1),k2_tarski(k2_tarski(np__1,X0),k2_tarski(np__1,X0))) = k2_finseq_1(np__1),
inference(superposition,[status(thm)],[c_802,c_326313]) ).
tcf(c_346571,plain,
! [X0: $i] : k4_xboole_0(k2_finseq_1(np__1),k2_tarski(k2_tarski(X0,np__1),k2_tarski(X0,np__1))) = k2_finseq_1(np__1),
inference(superposition,[status(thm)],[c_802,c_326314]) ).
tcf(c_346572,plain,
k4_xboole_0(k2_finseq_1(np__1),k2_tarski(k1_zfmisc_1(np__1),k1_zfmisc_1(np__1))) = k2_finseq_1(np__1),
inference(superposition,[status(thm)],[c_802,c_326315]) ).
tcf(c_346573,plain,
k4_xboole_0(k2_tarski(np__2,np__2),k2_tarski(k2_finseq_1(np__2),k2_finseq_1(np__2))) = k2_tarski(np__2,np__2),
inference(superposition,[status(thm)],[c_802,c_326316]) ).
tcf(c_346574,plain,
k4_xboole_0(k2_finseq_1(np__1),k2_tarski(k2_finseq_1(np__2),k2_finseq_1(np__2))) = k2_finseq_1(np__1),
inference(superposition,[status(thm)],[c_802,c_326317]) ).
tcf(c_346575,plain,
! [X0: $i] : k4_xboole_0(sK29(k1_zfmisc_1(X0)),k2_tarski(X0,X0)) = sK29(k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_802,c_326502]) ).
tcf(c_346576,plain,
! [X0: $i] :
( v1_realset1(X0)
| ( k4_xboole_0(sK72(X0),k2_tarski(X0,X0)) = sK72(X0) ) ),
inference(superposition,[status(thm)],[c_802,c_326670]) ).
tcf(c_346577,plain,
! [X0: $i] :
( v1_realset1(X0)
| ( k4_xboole_0(sK73(X0),k2_tarski(X0,X0)) = sK73(X0) ) ),
inference(superposition,[status(thm)],[c_802,c_326671]) ).
tcf(c_346578,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ( k4_xboole_0(sK137(X0),k2_tarski(X0,X0)) = sK137(X0) ) ),
inference(superposition,[status(thm)],[c_802,c_326672]) ).
tcf(c_346579,plain,
! [X0: $i] : k4_xboole_0(k1_card_1(X0),k2_tarski(k1_card_1(k1_zfmisc_1(X0)),k1_card_1(k1_zfmisc_1(X0)))) = k1_card_1(X0),
inference(superposition,[status(thm)],[c_802,c_326673]) ).
tcf(c_346580,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X1))) = X0,
inference(superposition,[status(thm)],[c_802,c_326674]) ).
tcf(c_346581,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k2_tarski(k2_tarski(X1,X0),k2_tarski(X1,X0))) = X0,
inference(superposition,[status(thm)],[c_802,c_326675]) ).
tcf(c_346582,plain,
! [X0: $i] :
( ( k4_xboole_0(X0,k2_tarski(k1_numbers,k1_numbers)) = X0 )
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_802,c_326676]) ).
tcf(c_346583,plain,
! [X0: $i] :
( v1_membered(X0)
| ( k4_xboole_0(sK355(X0),k2_tarski(X0,X0)) = sK355(X0) ) ),
inference(superposition,[status(thm)],[c_802,c_326677]) ).
tcf(c_346584,plain,
! [X0: $i] :
( v5_membered(X0)
| ( k4_xboole_0(sK402(X0),k2_tarski(X0,X0)) = sK402(X0) ) ),
inference(superposition,[status(thm)],[c_802,c_326678]) ).
tcf(c_346585,plain,
k4_xboole_0(np__1,k2_tarski(k2_finseq_1(np__1),k2_finseq_1(np__1))) = np__1,
inference(superposition,[status(thm)],[c_802,c_326683]) ).
tcf(c_346586,plain,
! [X0: $i] : k4_xboole_0(np__1,k2_tarski(k2_xboole_0(X0,k2_finseq_1(np__1)),k2_xboole_0(X0,k2_finseq_1(np__1)))) = np__1,
inference(superposition,[status(thm)],[c_802,c_326684]) ).
tcf(c_346587,plain,
k4_xboole_0(np__1,k2_tarski(k2_finseq_1(np__2),k2_finseq_1(np__2))) = np__1,
inference(superposition,[status(thm)],[c_802,c_326685]) ).
tcf(c_346588,plain,
k4_xboole_0(np__2,k2_tarski(k2_finseq_1(np__2),k2_finseq_1(np__2))) = np__2,
inference(superposition,[status(thm)],[c_802,c_326686]) ).
tcf(c_346589,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k4_xboole_0(sK53(X0),k2_tarski(X0,X0)) = sK53(X0) ) ),
inference(superposition,[status(thm)],[c_802,c_326753]) ).
tcf(c_346590,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k4_xboole_0(sK210(X0),k2_tarski(X0,X0)) = sK210(X0) ) ),
inference(superposition,[status(thm)],[c_802,c_326772]) ).
tcf(c_346591,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k4_xboole_0(sK211(X0),k2_tarski(X0,X0)) = sK211(X0) ) ),
inference(superposition,[status(thm)],[c_802,c_326791]) ).
tcf(c_346592,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k2_tarski(k2_xboole_0(X1,X0),k2_xboole_0(X1,X0))) = X0,
inference(superposition,[status(thm)],[c_802,c_327043]) ).
tcf(c_346593,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k4_xboole_0(sK47(X0),k2_tarski(X0,X0)) = sK47(X0) ) ),
inference(superposition,[status(thm)],[c_802,c_329992]) ).
tcf(c_346594,plain,
! [X0: $i] :
( v2_membered(X0)
| ( k4_xboole_0(sK47(X0),k2_tarski(X0,X0)) = sK47(X0) ) ),
inference(superposition,[status(thm)],[c_802,c_328425]) ).
tcf(c_346595,plain,
! [X0: $i] :
( v5_membered(X0)
| ( k4_xboole_0(sK47(X0),k2_tarski(X0,X0)) = sK47(X0) ) ),
inference(superposition,[status(thm)],[c_802,c_327152]) ).
tcf(c_346596,plain,
! [X0: $i] :
( v1_membered(X0)
| ( k4_xboole_0(sK47(X0),k2_tarski(X0,X0)) = sK47(X0) ) ),
inference(superposition,[status(thm)],[c_802,c_326935]) ).
tcf(c_346597,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ( k4_xboole_0(sK47(X0),k2_tarski(X0,X0)) = sK47(X0) ) ),
inference(superposition,[status(thm)],[c_802,c_326918]) ).
tcf(c_346598,plain,
! [X0: $i] :
( v1_realset1(X0)
| ( k4_xboole_0(sK47(X0),k2_tarski(X0,X0)) = sK47(X0) ) ),
inference(superposition,[status(thm)],[c_802,c_326896]) ).
tcf(c_346599,plain,
k4_xboole_0(sK47(k2_finseq_1(np__1)),k2_tarski(k2_finseq_1(np__1),k2_finseq_1(np__1))) = sK47(k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_802,c_327169]) ).
tcf(c_346600,plain,
k4_xboole_0(sK47(k2_finseq_1(np__2)),k2_tarski(k2_finseq_1(np__2),k2_finseq_1(np__2))) = sK47(k2_finseq_1(np__2)),
inference(superposition,[status(thm)],[c_802,c_327173]) ).
tcf(c_346601,plain,
! [X0: $i] : k4_xboole_0(np__1,k2_tarski(k2_xboole_0(k2_finseq_1(np__1),X0),k2_xboole_0(k2_finseq_1(np__1),X0))) = np__1,
inference(superposition,[status(thm)],[c_802,c_327477]) ).
tcf(c_346602,plain,
! [X0: $i] : k4_xboole_0(k4_xboole_0(X0,k5_finsub_1(np__0)),k2_tarski(np__0,np__0)) = k4_xboole_0(X0,k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_802,c_327509]) ).
tcf(c_346603,plain,
! [X0: $i] : k4_xboole_0(k4_xboole_0(X0,k2_finseq_1(np__1)),k2_tarski(np__1,np__1)) = k4_xboole_0(X0,k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_802,c_327510]) ).
tcf(c_346604,plain,
k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) = sK47(a_2_0_lopclset(sK23,sK24)),
inference(superposition,[status(thm)],[c_802,c_328458]) ).
tcf(c_346605,plain,
! [X0: $i] : k4_xboole_0(sK47(k1_zfmisc_1(X0)),k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X0))) = sK47(k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_802,c_328440]) ).
tcf(c_346606,plain,
! [X0: $i] : k4_xboole_0(sK47(k1_zfmisc_1(X0)),k2_tarski(X0,X0)) = sK47(k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_802,c_328446]) ).
tcf(c_346607,plain,
k4_xboole_0(sK47(k1_numbers),k2_tarski(k1_numbers,k1_numbers)) = sK47(k1_numbers),
inference(superposition,[status(thm)],[c_802,c_328584]) ).
tcf(c_346608,plain,
! [X0: $i] : k4_xboole_0(k5_finsub_1(np__0),k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X0))) = k5_finsub_1(np__0),
inference(superposition,[status(thm)],[c_802,c_329304]) ).
tcf(c_346609,plain,
k4_xboole_0(sK242,k2_tarski(k1_numbers,k1_numbers)) = sK242,
inference(superposition,[status(thm)],[c_802,c_329746]) ).
tcf(c_346610,plain,
k4_xboole_0(k5_numbers,k2_tarski(k1_zfmisc_1(k1_numbers),k1_zfmisc_1(k1_numbers))) = k5_numbers,
inference(superposition,[status(thm)],[c_802,c_329751]) ).
tcf(c_346611,plain,
k4_xboole_0(sK24,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) = sK24,
inference(superposition,[status(thm)],[c_802,c_329766]) ).
tcf(c_346612,plain,
k4_xboole_0(sK47(u1_struct_0(sK23)),k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) = sK47(u1_struct_0(sK23)),
inference(superposition,[status(thm)],[c_802,c_329770]) ).
tcf(c_346613,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k4_xboole_0(sK29(X0),k2_tarski(X0,X0)) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_802,c_329781]) ).
tcf(c_346614,plain,
! [X0: $i] : k4_xboole_0(X0,k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X0))) = X0,
inference(superposition,[status(thm)],[c_802,c_329886]) ).
tcf(c_346615,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k2_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),k1_zfmisc_1(k2_xboole_0(X0,X1)))) = X0,
inference(superposition,[status(thm)],[c_802,c_330552]) ).
tcf(c_346616,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k2_tarski(k1_zfmisc_1(k2_xboole_0(X1,X0)),k1_zfmisc_1(k2_xboole_0(X1,X0)))) = X0,
inference(superposition,[status(thm)],[c_802,c_330587]) ).
tcf(c_346617,plain,
k4_xboole_0(sK47(k5_finsub_1(sK205)),k2_tarski(k5_finsub_1(sK205),k5_finsub_1(sK205))) = sK47(k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_802,c_331178]) ).
tcf(c_346618,plain,
k4_xboole_0(sK205,k2_tarski(k5_finsub_1(sK205),k5_finsub_1(sK205))) = sK205,
inference(superposition,[status(thm)],[c_802,c_331180]) ).
tcf(c_346619,plain,
k4_xboole_0(k5_finsub_1(np__0),k2_tarski(k5_finsub_1(sK205),k5_finsub_1(sK205))) = k5_finsub_1(np__0),
inference(superposition,[status(thm)],[c_802,c_331183]) ).
tcf(c_346620,plain,
k4_xboole_0(k1_card_1(sK205),k2_tarski(k1_card_1(k5_finsub_1(sK205)),k1_card_1(k5_finsub_1(sK205)))) = k1_card_1(sK205),
inference(superposition,[status(thm)],[c_802,c_331187]) ).
tcf(c_346621,plain,
k4_xboole_0(sK47(k5_finsub_1(sK205)),k2_tarski(sK205,sK205)) = sK47(k5_finsub_1(sK205)),
inference(superposition,[status(thm)],[c_802,c_331188]) ).
tcf(c_346622,plain,
k4_xboole_0(k2_tarski(sK205,sK205),k2_tarski(k5_finsub_1(sK205),k5_finsub_1(sK205))) = k2_tarski(sK205,sK205),
inference(superposition,[status(thm)],[c_802,c_331196]) ).
tcf(c_346623,plain,
k4_xboole_0(sK53(sK205),k2_tarski(sK205,sK205)) = sK53(sK205),
inference(superposition,[status(thm)],[c_802,c_331352]) ).
tcf(c_346624,plain,
k4_xboole_0(sK210(sK205),k2_tarski(sK205,sK205)) = sK210(sK205),
inference(superposition,[status(thm)],[c_802,c_331366]) ).
tcf(c_346625,plain,
k4_xboole_0(sK211(sK205),k2_tarski(sK205,sK205)) = sK211(sK205),
inference(superposition,[status(thm)],[c_802,c_331380]) ).
tcf(c_346626,plain,
k4_xboole_0(sK53(sK205),k2_tarski(k5_finsub_1(sK205),k5_finsub_1(sK205))) = sK53(sK205),
inference(superposition,[status(thm)],[c_802,c_331564]) ).
tcf(c_346627,plain,
k4_xboole_0(sK210(sK205),k2_tarski(k5_finsub_1(sK205),k5_finsub_1(sK205))) = sK210(sK205),
inference(superposition,[status(thm)],[c_802,c_331568]) ).
tcf(c_346628,plain,
k4_xboole_0(sK211(sK205),k2_tarski(k5_finsub_1(sK205),k5_finsub_1(sK205))) = sK211(sK205),
inference(superposition,[status(thm)],[c_802,c_331572]) ).
tcf(c_346629,plain,
k4_xboole_0(sK47(k5_finsub_1(sK212)),k2_tarski(k5_finsub_1(sK212),k5_finsub_1(sK212))) = sK47(k5_finsub_1(sK212)),
inference(superposition,[status(thm)],[c_802,c_331587]) ).
tcf(c_346630,plain,
k4_xboole_0(sK212,k2_tarski(k5_finsub_1(sK212),k5_finsub_1(sK212))) = sK212,
inference(superposition,[status(thm)],[c_802,c_331589]) ).
tcf(c_346631,plain,
k4_xboole_0(k5_finsub_1(np__0),k2_tarski(k5_finsub_1(sK212),k5_finsub_1(sK212))) = k5_finsub_1(np__0),
inference(superposition,[status(thm)],[c_802,c_331592]) ).
tcf(c_346632,plain,
k4_xboole_0(k1_card_1(sK212),k2_tarski(k1_card_1(k5_finsub_1(sK212)),k1_card_1(k5_finsub_1(sK212)))) = k1_card_1(sK212),
inference(superposition,[status(thm)],[c_802,c_331596]) ).
tcf(c_346633,plain,
k4_xboole_0(sK47(k5_finsub_1(sK212)),k2_tarski(sK212,sK212)) = sK47(k5_finsub_1(sK212)),
inference(superposition,[status(thm)],[c_802,c_331597]) ).
tcf(c_346634,plain,
k4_xboole_0(k2_tarski(sK212,sK212),k2_tarski(k5_finsub_1(sK212),k5_finsub_1(sK212))) = k2_tarski(sK212,sK212),
inference(superposition,[status(thm)],[c_802,c_331605]) ).
tcf(c_346635,plain,
k4_xboole_0(sK53(sK212),k2_tarski(sK212,sK212)) = sK53(sK212),
inference(superposition,[status(thm)],[c_802,c_331944]) ).
tcf(c_346636,plain,
k4_xboole_0(sK210(sK212),k2_tarski(sK212,sK212)) = sK210(sK212),
inference(superposition,[status(thm)],[c_802,c_331959]) ).
tcf(c_346637,plain,
k4_xboole_0(sK211(sK212),k2_tarski(sK212,sK212)) = sK211(sK212),
inference(superposition,[status(thm)],[c_802,c_331974]) ).
tcf(c_346638,plain,
k4_xboole_0(sK53(sK212),k2_tarski(k5_finsub_1(sK212),k5_finsub_1(sK212))) = sK53(sK212),
inference(superposition,[status(thm)],[c_802,c_331981]) ).
tcf(c_346639,plain,
k4_xboole_0(sK210(sK212),k2_tarski(k5_finsub_1(sK212),k5_finsub_1(sK212))) = sK210(sK212),
inference(superposition,[status(thm)],[c_802,c_332330]) ).
tcf(c_346640,plain,
k4_xboole_0(sK211(sK212),k2_tarski(k5_finsub_1(sK212),k5_finsub_1(sK212))) = sK211(sK212),
inference(superposition,[status(thm)],[c_802,c_332337]) ).
tcf(c_346641,plain,
k4_xboole_0(sK413,k2_tarski(k5_finsub_1(sK413),k5_finsub_1(sK413))) = sK413,
inference(superposition,[status(thm)],[c_802,c_333094]) ).
tcf(c_346642,plain,
k4_xboole_0(k5_finsub_1(np__0),k2_tarski(k5_finsub_1(sK413),k5_finsub_1(sK413))) = k5_finsub_1(np__0),
inference(superposition,[status(thm)],[c_802,c_333097]) ).
tcf(c_346643,plain,
k4_xboole_0(sK47(k5_finsub_1(sK413)),k2_tarski(sK413,sK413)) = sK47(k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_802,c_333102]) ).
tcf(c_346644,plain,
k4_xboole_0(sK53(sK413),k2_tarski(sK413,sK413)) = sK53(sK413),
inference(superposition,[status(thm)],[c_802,c_334398]) ).
tcf(c_346645,plain,
k4_xboole_0(sK210(sK413),k2_tarski(sK413,sK413)) = sK210(sK413),
inference(superposition,[status(thm)],[c_802,c_334436]) ).
tcf(c_346646,plain,
k4_xboole_0(sK211(sK413),k2_tarski(sK413,sK413)) = sK211(sK413),
inference(superposition,[status(thm)],[c_802,c_334464]) ).
tcf(c_346647,plain,
k4_xboole_0(sK53(sK413),k2_tarski(k5_finsub_1(sK413),k5_finsub_1(sK413))) = sK53(sK413),
inference(superposition,[status(thm)],[c_802,c_334788]) ).
tcf(c_346648,plain,
k4_xboole_0(sK210(sK413),k2_tarski(k5_finsub_1(sK413),k5_finsub_1(sK413))) = sK210(sK413),
inference(superposition,[status(thm)],[c_802,c_334796]) ).
tcf(c_346649,plain,
k4_xboole_0(sK211(sK413),k2_tarski(k5_finsub_1(sK413),k5_finsub_1(sK413))) = sK211(sK413),
inference(superposition,[status(thm)],[c_802,c_334804]) ).
tcf(c_346650,plain,
! [X0: $i] : k4_xboole_0(k5_numbers,k2_tarski(k2_xboole_0(X0,k1_numbers),k2_xboole_0(X0,k1_numbers))) = k5_numbers,
inference(superposition,[status(thm)],[c_802,c_341368]) ).
tcf(c_346651,plain,
! [X0: $i] : k4_xboole_0(k5_numbers,k2_tarski(k2_xboole_0(k1_numbers,X0),k2_xboole_0(k1_numbers,X0))) = k5_numbers,
inference(superposition,[status(thm)],[c_802,c_341394]) ).
tcf(c_346652,plain,
k4_xboole_0(sK47(k5_numbers),k2_tarski(k5_numbers,k5_numbers)) = sK47(k5_numbers),
inference(superposition,[status(thm)],[c_802,c_343038]) ).
tcf(c_346653,plain,
! [X0: $i] : k4_xboole_0(k4_xboole_0(k5_numbers,X0),k2_tarski(k1_numbers,k1_numbers)) = k4_xboole_0(k5_numbers,X0),
inference(superposition,[status(thm)],[c_802,c_345949]) ).
tcf(c_346654,plain,
! [X0: $i] : k4_xboole_0(sK25(k1_zfmisc_1(X0),np__0),k2_tarski(X0,X0)) = sK25(k1_zfmisc_1(X0),np__0),
inference(superposition,[status(thm)],[c_802,c_328142]) ).
tcf(c_346655,plain,
k4_xboole_0(sK25(k5_finsub_1(sK205),np__0),k2_tarski(sK205,sK205)) = sK25(k5_finsub_1(sK205),np__0),
inference(superposition,[status(thm)],[c_802,c_331182]) ).
tcf(c_346656,plain,
k4_xboole_0(sK25(k5_finsub_1(sK212),np__0),k2_tarski(sK212,sK212)) = sK25(k5_finsub_1(sK212),np__0),
inference(superposition,[status(thm)],[c_802,c_331591]) ).
tcf(c_346709,plain,
! [X0: $i] : k4_xboole_0(k4_xboole_0(X0,k2_finseq_1(np__1)),k2_finseq_1(np__1)) = k4_xboole_0(X0,k2_finseq_1(np__1)),
inference(light_normalisation,[status(thm)],[c_346603,c_1820]) ).
tcf(c_346710,plain,
! [X0: $i] : k4_xboole_0(k4_xboole_0(X0,k5_finsub_1(np__0)),k5_finsub_1(np__0)) = k4_xboole_0(X0,k5_finsub_1(np__0)),
inference(light_normalisation,[status(thm)],[c_346602,c_919]) ).
tcf(c_346855,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(np__0,k4_xboole_0(X1,X0))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_492,c_821]) ).
tcf(c_346856,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X2,X1),k4_xboole_0(k2_xboole_0(X2,X1),X0))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_498,c_821]) ).
tcf(c_346857,plain,
! [X0: $i,X1: $i] :
( r1_tarski(np__0,k4_xboole_0(np__0,X0))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_824,c_821]) ).
tcf(c_346858,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k4_xboole_0(X1,X0))
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_825,c_821]) ).
tcf(c_346859,plain,
! [X0: $i,X1: $i] :
( r1_tarski(np__0,k4_xboole_0(X1,X0))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_30376,c_821]) ).
tcf(c_346860,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(np__0,k4_xboole_0(k2_tarski(X1,X1),X0))
| ~ r1_tarski(X0,k2_tarski(X1,X2)) ),
inference(superposition,[status(thm)],[c_1422,c_821]) ).
tcf(c_346861,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(np__0,k4_xboole_0(k2_tarski(X2,X2),X0))
| ~ r1_tarski(X0,k2_tarski(X1,X2)) ),
inference(superposition,[status(thm)],[c_1382,c_821]) ).
tcf(c_346862,plain,
! [X0: $i] :
( r1_tarski(np__0,k4_xboole_0(k5_numbers,X0))
| ~ r1_tarski(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_337563,c_821]) ).
tcf(c_346863,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X2),np__0)
| ~ r1_tarski(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_492,c_821]) ).
tcf(c_346864,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k2_xboole_0(X2,X0),X1),k4_xboole_0(X2,X0))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_498,c_821]) ).
tcf(c_346865,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_xboole_0(np__0,X1),np__0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_824,c_821]) ).
tcf(c_346866,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_xboole_0(X1,X0),X1)
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_825,c_821]) ).
tcf(c_346868,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k2_tarski(X0,X0),X2),np__0)
| ~ r1_tarski(k2_tarski(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1422,c_821]) ).
tcf(c_346869,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k2_tarski(X1,X1),X2),np__0)
| ~ r1_tarski(k2_tarski(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1382,c_821]) ).
tcf(c_346870,plain,
! [X0: $i] :
( r1_tarski(k4_xboole_0(k5_numbers,X0),np__0)
| ~ r1_tarski(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_337563,c_821]) ).
tcf(c_346871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X1,X3))
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_821,c_97]) ).
tcf(c_346872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k4_xboole_0(X1,X3))
| ~ r1_tarski(X3,X2)
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_821,c_104]) ).
tcf(c_346873,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ r1_tarski(X2,X1)
| ~ r1_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)) ),
inference(superposition,[status(thm)],[c_821,c_2426]) ).
tcf(c_346874,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k4_xboole_0(X2,X1),k4_xboole_0(X2,X0)) = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_821,c_817]) ).
tcf(c_346875,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(k4_xboole_0(X2,X1),k4_xboole_0(X2,X0)) = k4_xboole_0(X2,X0) )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_821,c_513]) ).
tcf(c_346876,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(X0,X2))
| ~ r1_tarski(X1,X2)
| ~ v1_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_821,c_2460]) ).
tcf(c_346877,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k4_xboole_0(X0,X2))
| ~ r1_tarski(X1,X2)
| ~ v1_finset_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_821,c_872]) ).
tcf(c_346878,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k4_xboole_0(X0,X2))
| ~ r1_tarski(X1,X2)
| ~ v1_relat_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_821,c_70]) ).
tcf(c_346879,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_tarski(X1,X2)
| ~ r2_hidden(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)) ),
inference(superposition,[status(thm)],[c_821,c_69]) ).
tcf(c_346880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X1,X3))
| m1_subset_1(sK25(X0,k4_xboole_0(X1,X3)),X0)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_821,c_97752]) ).
tcf(c_346881,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,k2_xboole_0(X1,k4_xboole_0(X2,X0)))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_821,c_494]) ).
tcf(c_346884,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X2,X1),X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_821,c_2400]) ).
tcf(c_346934,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(np__0,k4_xboole_0(X1,k2_xboole_0(X0,X2)))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_492,c_822]) ).
tcf(c_346935,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1))
| ~ r1_tarski(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_498,c_822]) ).
tcf(c_346936,plain,
! [X0: $i,X1: $i] :
( r1_tarski(np__0,k4_xboole_0(X0,X1))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_824,c_822]) ).
tcf(c_346937,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k4_xboole_0(X1,np__0))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_825,c_822]) ).
tcf(c_346939,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(np__0,k4_xboole_0(X1,k2_tarski(X0,X2)))
| ~ r1_tarski(k2_tarski(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_1422,c_822]) ).
tcf(c_346940,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(np__0,k4_xboole_0(X1,k2_tarski(X2,X0)))
| ~ r1_tarski(k2_tarski(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_1382,c_822]) ).
tcf(c_346941,plain,
! [X0: $i] :
( r1_tarski(np__0,k4_xboole_0(X0,k1_numbers))
| ~ r1_tarski(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_337563,c_822]) ).
tcf(c_346942,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,k2_xboole_0(X1,X2)),np__0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_492,c_822]) ).
tcf(c_346943,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_498,c_822]) ).
tcf(c_346944,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_xboole_0(X0,X1),np__0)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_824,c_822]) ).
tcf(c_346947,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,k2_tarski(X1,X2)),np__0)
| ~ r1_tarski(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_1422,c_822]) ).
tcf(c_346948,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,k2_tarski(X2,X1)),np__0)
| ~ r1_tarski(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_1382,c_822]) ).
tcf(c_346949,plain,
! [X0: $i] :
( r1_tarski(k4_xboole_0(X0,k1_numbers),np__0)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_337563,c_822]) ).
tcf(c_346950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X3,X2))
| ~ r1_tarski(X1,X3)
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_822,c_97]) ).
tcf(c_346951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k4_xboole_0(X3,X2))
| ~ r1_tarski(X1,X3)
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_822,c_104]) ).
tcf(c_346952,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),k4_xboole_0(X2,X1)) ),
inference(superposition,[status(thm)],[c_822,c_2426]) ).
tcf(c_346953,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2)) = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_822,c_817]) ).
tcf(c_346954,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2)) = k4_xboole_0(X1,X2) )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_822,c_513]) ).
tcf(c_346955,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(X2,X1))
| ~ r1_tarski(X2,X0)
| ~ v1_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_822,c_2460]) ).
tcf(c_346956,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k4_xboole_0(X2,X1))
| ~ r1_tarski(X2,X0)
| ~ v1_finset_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_822,c_872]) ).
tcf(c_346957,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k4_xboole_0(X2,X1))
| ~ r1_tarski(X2,X0)
| ~ v1_relat_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_822,c_70]) ).
tcf(c_346958,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_tarski(X2,X0)
| ~ r2_hidden(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1)) ),
inference(superposition,[status(thm)],[c_822,c_69]) ).
tcf(c_346959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X3,X2))
| m1_subset_1(sK25(X0,k4_xboole_0(X3,X2)),X0)
| ~ r1_tarski(X3,X1)
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_822,c_97752]) ).
tcf(c_346960,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_xboole_0(X2,k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_822,c_494]) ).
tcf(c_346961,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k4_xboole_0(X0,X2),X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_822,c_2401]) ).
tcf(c_347034,plain,
! [X0: $i] :
( r1_tarski(k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24)
| ~ r1_tarski(X0,sK24) ),
inference(superposition,[status(thm)],[c_346611,c_822]) ).
tcf(c_347035,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK24)
| ~ r2_hidden(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346611,c_831]) ).
tcf(c_347037,plain,
! [X0: $i] :
( r1_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r1_tarski(X0,sK24) ),
inference(superposition,[status(thm)],[c_346611,c_2401]) ).
tcf(c_347040,plain,
! [X0: $i] :
( r1_tarski(sK24,k2_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0))
| ~ r1_tarski(sK24,X0) ),
inference(superposition,[status(thm)],[c_346611,c_494]) ).
tcf(c_347041,plain,
r1_tarski(k2_zfmisc_1(sK24,sK24),k1_zfmisc_1(k1_zfmisc_1(sK24))),
inference(superposition,[status(thm)],[c_346611,c_330381]) ).
tcf(c_347044,plain,
( r1_tarski(sK24,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ( sK24 != np__0 ) ),
inference(superposition,[status(thm)],[c_346611,c_818]) ).
tcf(c_347045,plain,
k2_xboole_0(sK24,sK24) = sK24,
inference(superposition,[status(thm)],[c_346611,c_31762]) ).
tcf(c_347046,plain,
~ r2_hidden(sK24,sK24),
inference(superposition,[status(thm)],[c_346611,c_326292]) ).
tcf(c_347049,plain,
( v1_membered(sK24)
| ~ v2_membered(sK24) ),
inference(superposition,[status(thm)],[c_346611,c_2464]) ).
tcf(c_347051,plain,
( v2_membered(sK24)
| ~ v3_membered(sK24) ),
inference(superposition,[status(thm)],[c_346611,c_2462]) ).
tcf(c_347052,plain,
( v1_membered(sK24)
| ~ v3_membered(sK24) ),
inference(superposition,[status(thm)],[c_346611,c_2461]) ).
tcf(c_347053,plain,
r1_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),sK24)),
inference(superposition,[status(thm)],[c_346611,c_2411]) ).
tcf(c_347056,plain,
r1_tarski(k4_xboole_0(sK24,sK24),k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),
inference(superposition,[status(thm)],[c_346611,c_324338]) ).
tcf(c_347057,plain,
r1_xboole_0(sK24,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),
inference(superposition,[status(thm)],[c_346611,c_2414]) ).
tcf(c_347058,plain,
r1_tarski(sK24,sK24),
inference(superposition,[status(thm)],[c_346611,c_819]) ).
tcf(c_347059,plain,
r1_tarski(k1_zfmisc_1(sK24),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))),
inference(superposition,[status(thm)],[c_346611,c_33271]) ).
tcf(c_347060,plain,
( ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 )
| ~ r1_tarski(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),sK24) ),
inference(superposition,[status(thm)],[c_346611,c_816]) ).
tcf(c_347061,plain,
( v1_membered(k4_xboole_0(sK24,sK24))
| ~ v1_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346611,c_2477]) ).
tcf(c_347062,plain,
( v2_membered(k4_xboole_0(sK24,sK24))
| ~ v2_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346611,c_2474]) ).
tcf(c_347063,plain,
( v1_membered(k4_xboole_0(sK24,sK24))
| ~ v2_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346611,c_2473]) ).
tcf(c_347064,plain,
( v3_membered(k4_xboole_0(sK24,sK24))
| ~ v3_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346611,c_2469]) ).
tcf(c_347065,plain,
( v2_membered(k4_xboole_0(sK24,sK24))
| ~ v3_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346611,c_2468]) ).
tcf(c_347066,plain,
( v1_membered(k4_xboole_0(sK24,sK24))
| ~ v3_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346611,c_2467]) ).
tcf(c_347067,plain,
( v1_relat_1(k4_xboole_0(sK24,sK24))
| ~ v1_relat_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346611,c_925]) ).
tcf(c_347068,plain,
( v1_finset_1(k4_xboole_0(sK24,sK24))
| ~ v1_finset_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346611,c_878]) ).
tcf(c_347069,plain,
r1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),sK24),
inference(superposition,[status(thm)],[c_346611,c_325973]) ).
tcf(c_347070,plain,
r1_xboole_0(k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),sK24),sK24),
inference(superposition,[status(thm)],[c_346611,c_2411]) ).
tcf(c_347071,plain,
! [X0: $i] :
( r1_tarski(sK24,k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))
| ~ r1_tarski(sK24,X0) ),
inference(superposition,[status(thm)],[c_346611,c_822]) ).
tcf(c_347073,plain,
! [X0: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,X0))
| ~ r1_tarski(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346611,c_821]) ).
tcf(c_347074,plain,
! [X0: $i] :
( r1_xboole_0(X0,sK24)
| ~ r1_tarski(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346611,c_2407]) ).
tcf(c_347075,plain,
! [X0: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(sK24,sK24)),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(sK24,k4_xboole_0(sK24,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346611,c_331985]) ).
tcf(c_347076,plain,
! [X0: $i] :
( r1_tarski(k4_xboole_0(sK24,X0),sK24)
| ~ r1_tarski(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0) ),
inference(superposition,[status(thm)],[c_346611,c_821]) ).
tcf(c_347085,plain,
v1_finset_1(k4_xboole_0(sK24,sK24)),
inference(forward_subsumption_resolution,[status(thm)],[c_347068,c_881]) ).
tcf(c_347114,plain,
~ r1_tarski(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_347060,c_331682]) ).
tcf(c_347115,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(sK24,sK24))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(sK24,sK24)),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(light_normalisation,[status(thm)],[c_347075,c_346611]) ).
tcf(c_347160,plain,
! [X0: $i] :
( r1_tarski(k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(X0,sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_822]) ).
tcf(c_347161,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_831]) ).
tcf(c_347163,plain,
! [X0: $i] :
( r1_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(X0,sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_2401]) ).
tcf(c_347166,plain,
! [X0: $i] :
( r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),k2_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),X0))
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),X0) ),
inference(superposition,[status(thm)],[c_346604,c_494]) ).
tcf(c_347167,plain,
r1_tarski(k2_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))),k1_zfmisc_1(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))))),
inference(superposition,[status(thm)],[c_346604,c_330381]) ).
tcf(c_347170,plain,
( r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ( sK47(a_2_0_lopclset(sK23,sK24)) != np__0 ) ),
inference(superposition,[status(thm)],[c_346604,c_818]) ).
tcf(c_347171,plain,
k2_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))) = sK47(a_2_0_lopclset(sK23,sK24)),
inference(superposition,[status(thm)],[c_346604,c_31762]) ).
tcf(c_347172,plain,
~ r2_hidden(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))),
inference(superposition,[status(thm)],[c_346604,c_326292]) ).
tcf(c_347175,plain,
( v1_membered(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v2_membered(sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_2464]) ).
tcf(c_347177,plain,
( v2_membered(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v3_membered(sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_2462]) ).
tcf(c_347178,plain,
( v1_membered(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v3_membered(sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_2461]) ).
tcf(c_347179,plain,
r1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),k4_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24)))),
inference(superposition,[status(thm)],[c_346604,c_2411]) ).
tcf(c_347182,plain,
r1_tarski(k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))),k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),
inference(superposition,[status(thm)],[c_346604,c_324338]) ).
tcf(c_347183,plain,
r1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),
inference(superposition,[status(thm)],[c_346604,c_2414]) ).
tcf(c_347184,plain,
r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))),
inference(superposition,[status(thm)],[c_346604,c_819]) ).
tcf(c_347185,plain,
r1_tarski(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))))),
inference(superposition,[status(thm)],[c_346604,c_33271]) ).
tcf(c_347186,plain,
( ( k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r1_tarski(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_816]) ).
tcf(c_347187,plain,
( v1_membered(k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))))
| ~ v1_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_2477]) ).
tcf(c_347188,plain,
( v2_membered(k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))))
| ~ v2_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_2474]) ).
tcf(c_347189,plain,
( v1_membered(k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))))
| ~ v2_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_2473]) ).
tcf(c_347190,plain,
( v3_membered(k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))))
| ~ v3_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_2469]) ).
tcf(c_347191,plain,
( v2_membered(k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))))
| ~ v3_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_2468]) ).
tcf(c_347192,plain,
( v1_membered(k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))))
| ~ v3_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_2467]) ).
tcf(c_347193,plain,
( v1_relat_1(k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))))
| ~ v1_relat_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_925]) ).
tcf(c_347194,plain,
( v1_finset_1(k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))))
| ~ v1_finset_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_878]) ).
tcf(c_347195,plain,
r1_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))),
inference(superposition,[status(thm)],[c_346604,c_325973]) ).
tcf(c_347196,plain,
r1_xboole_0(k4_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(superposition,[status(thm)],[c_346604,c_2411]) ).
tcf(c_347197,plain,
! [X0: $i] :
( r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),X0) ),
inference(superposition,[status(thm)],[c_346604,c_822]) ).
tcf(c_347199,plain,
! [X0: $i] :
( r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0))
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_821]) ).
tcf(c_347200,plain,
! [X0: $i] :
( r1_xboole_0(X0,sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_2407]) ).
tcf(c_347201,plain,
! [X0: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24)))),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_331985]) ).
tcf(c_347202,plain,
! [X0: $i] :
( r1_tarski(k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),X0) ),
inference(superposition,[status(thm)],[c_346604,c_821]) ).
tcf(c_347215,plain,
v1_finset_1(k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24)))),
inference(forward_subsumption_resolution,[status(thm)],[c_347194,c_881]) ).
tcf(c_347240,plain,
~ r1_tarski(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))),
inference(forward_subsumption_resolution,[status(thm)],[c_347186,c_331682]) ).
tcf(c_347241,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24)))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(light_normalisation,[status(thm)],[c_347201,c_346604]) ).
tcf(c_347268,plain,
k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),sK24) = k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),
inference(superposition,[status(thm)],[c_347069,c_2410]) ).
tcf(c_347271,plain,
r1_tarski(np__0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),
inference(demodulation,[status(thm)],[c_347056,c_30376]) ).
tcf(c_347282,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| m1_subset_1(sK47(k2_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))),X1)),k2_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))),X1))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_328348,c_344361]) ).
tcf(c_347283,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r2_hidden(sK47(k2_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))),X1)),k2_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))),X1))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326624,c_344361]) ).
tcf(c_347284,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k2_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))),X1)) ),
inference(superposition,[status(thm)],[c_326591,c_344361]) ).
tcf(c_347315,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X1)
| ( k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k2_tarski(X2,X2)) = k4_xboole_0(X0,k4_xboole_0(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_802,c_955]) ).
tcf(c_347316,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2)
| r2_hidden(sK28(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2),X1) ),
inference(superposition,[status(thm)],[c_103,c_955]) ).
tcf(c_347317,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK41(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_167,c_955]) ).
tcf(c_347318,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK72(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_337,c_955]) ).
tcf(c_347319,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK73(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_338,c_955]) ).
tcf(c_347320,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK115(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_346237,c_955]) ).
tcf(c_347321,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK118(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_558,c_955]) ).
tcf(c_347322,plain,
! [X0: $i,X1: $i] :
( sP0(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| v1_funct_1(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK124(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_569,c_955]) ).
tcf(c_347323,plain,
! [X0: $i,X1: $i] :
( sP0(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| v1_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK124(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_567,c_955]) ).
tcf(c_347324,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK137(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_587,c_955]) ).
tcf(c_347326,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK354(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1)
| ~ v1_membered(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_1801,c_955]) ).
tcf(c_347327,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK355(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_1803,c_955]) ).
tcf(c_347328,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK401(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1)
| ~ v5_membered(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_2039,c_955]) ).
tcf(c_347329,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK402(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_2041,c_955]) ).
tcf(c_347330,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK432(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_2378,c_955]) ).
tcf(c_347331,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK433(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_2380,c_955]) ).
tcf(c_347332,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK434(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_2382,c_955]) ).
tcf(c_347333,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK435(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_2384,c_955]) ).
tcf(c_347334,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK436(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_2386,c_955]) ).
tcf(c_347335,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK437(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_2388,c_955]) ).
tcf(c_347336,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2)
| r2_hidden(sK439(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2),X1) ),
inference(superposition,[status(thm)],[c_2439,c_955]) ).
tcf(c_347337,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| r2_hidden(sK439(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))),X2) ),
inference(superposition,[status(thm)],[c_2440,c_955]) ).
tcf(c_347338,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1))))
| r2_hidden(sK441(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_2459,c_955]) ).
tcf(c_347339,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X2,k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK47(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_328946,c_955]) ).
tcf(c_347340,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2)
| r2_hidden(sK47(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_328923,c_955]) ).
tcf(c_347341,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK47(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_329782,c_955]) ).
tcf(c_347343,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1))))
| r2_hidden(sK47(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_326636,c_955]) ).
tcf(c_347344,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK47(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_328340,c_955]) ).
tcf(c_347345,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2)
| r2_hidden(sK47(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_326624,c_955]) ).
tcf(c_347346,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK47(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_326635,c_955]) ).
tcf(c_347347,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK47(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_326634,c_955]) ).
tcf(c_347348,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK47(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_326629,c_955]) ).
tcf(c_347349,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK47(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_326627,c_955]) ).
tcf(c_347350,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(sK29(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_329379,c_955]) ).
tcf(c_347352,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_xboole_0(X1,X2))
| ~ r2_hidden(X0,k4_xboole_0(X1,np__0)) ),
inference(superposition,[status(thm)],[c_492,c_955]) ).
tcf(c_347353,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ r2_hidden(X0,k4_xboole_0(k2_xboole_0(X1,X2),k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_498,c_955]) ).
tcf(c_347355,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,np__0)
| ~ r2_hidden(X0,k4_xboole_0(X1,X1)) ),
inference(superposition,[status(thm)],[c_825,c_955]) ).
tcf(c_347356,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ~ r2_hidden(X0,k4_xboole_0(X1,np__0)) ),
inference(superposition,[status(thm)],[c_30376,c_955]) ).
tcf(c_347357,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_tarski(X1,X2))
| ~ r2_hidden(X0,k4_xboole_0(k2_tarski(X1,X1),np__0)) ),
inference(superposition,[status(thm)],[c_1422,c_955]) ).
tcf(c_347358,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_tarski(X2,X1))
| ~ r2_hidden(X0,k4_xboole_0(k2_tarski(X1,X1),np__0)) ),
inference(superposition,[status(thm)],[c_1382,c_955]) ).
tcf(c_347359,plain,
! [X0: $i] :
( r2_hidden(X0,k1_numbers)
| ~ r2_hidden(X0,k4_xboole_0(k5_numbers,np__0)) ),
inference(superposition,[status(thm)],[c_337563,c_955]) ).
tcf(c_347366,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(X0,k4_xboole_0(X1,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_347355,c_168]) ).
tcf(c_347637,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_relat_1(u2_lattices(X0),k1_relat_1(u2_lattices(X0))) = u2_lattices(X0) )
| ~ l2_lattices(X0)
| ~ v5_lattices(X0) ),
inference(superposition,[status(thm)],[c_963,c_2261]) ).
tcf(c_347638,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k9_relat_1(u2_lattices(X0),np__0) = np__0 )
| ~ l2_lattices(X0)
| ~ v5_lattices(X0) ),
inference(superposition,[status(thm)],[c_963,c_2363]) ).
tcf(c_347639,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k10_relat_1(u2_lattices(X0),np__0) = np__0 )
| ~ l2_lattices(X0)
| ~ v5_lattices(X0) ),
inference(superposition,[status(thm)],[c_963,c_2321]) ).
tcf(c_347640,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_relat_1(u2_lattices(X0),np__0) = np__0 )
| ~ l2_lattices(X0)
| ~ v5_lattices(X0) ),
inference(superposition,[status(thm)],[c_963,c_2249]) ).
tcf(c_347641,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k5_relat_1(u2_lattices(X0),np__0) = np__0 )
| ~ l2_lattices(X0)
| ~ v5_lattices(X0) ),
inference(superposition,[status(thm)],[c_963,c_1272]) ).
tcf(c_347642,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k5_relat_1(np__0,u2_lattices(X0)) = np__0 )
| ~ l2_lattices(X0)
| ~ v5_lattices(X0) ),
inference(superposition,[status(thm)],[c_963,c_1271]) ).
tcf(c_347675,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_relat_1(u2_lattices(X0),k1_relat_1(u2_lattices(X0))) = u2_lattices(X0) )
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(superposition,[status(thm)],[c_968,c_2261]) ).
tcf(c_347676,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k9_relat_1(u2_lattices(X0),np__0) = np__0 )
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(superposition,[status(thm)],[c_968,c_2363]) ).
tcf(c_347677,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k10_relat_1(u2_lattices(X0),np__0) = np__0 )
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(superposition,[status(thm)],[c_968,c_2321]) ).
tcf(c_347678,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_relat_1(u2_lattices(X0),np__0) = np__0 )
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(superposition,[status(thm)],[c_968,c_2249]) ).
tcf(c_347679,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k5_relat_1(u2_lattices(X0),np__0) = np__0 )
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(superposition,[status(thm)],[c_968,c_1272]) ).
tcf(c_347680,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k5_relat_1(np__0,u2_lattices(X0)) = np__0 )
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(superposition,[status(thm)],[c_968,c_1271]) ).
tcf(c_347711,plain,
! [X0: $i] : m1_subset_1(sK47(k2_xboole_0(X0,k5_finsub_1(sK413))),k2_xboole_0(X0,k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_328348,c_333078]) ).
tcf(c_347712,plain,
! [X0: $i] : r2_hidden(sK47(k2_xboole_0(X0,k5_finsub_1(sK413))),k2_xboole_0(X0,k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_326624,c_333078]) ).
tcf(c_347722,plain,
! [X0: $i] :
( ( k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) = X0 )
| ~ r1_tarski(X0,sK24) ),
inference(superposition,[status(thm)],[c_347037,c_2410]) ).
tcf(c_347723,plain,
! [X0: $i] :
( r1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)
| ~ r1_tarski(X0,sK24) ),
inference(superposition,[status(thm)],[c_347037,c_2434]) ).
tcf(c_347724,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(k2_tarski(X0,X1),sK24)
| ~ r2_hidden(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_347037,c_1401]) ).
tcf(c_347733,plain,
( v1_membered(np__0)
| ~ v1_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(demodulation,[status(thm)],[c_347061,c_30376]) ).
tcf(c_347734,plain,
( v2_membered(np__0)
| ~ v2_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(demodulation,[status(thm)],[c_347062,c_30376]) ).
tcf(c_347735,plain,
( v1_membered(np__0)
| ~ v2_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(demodulation,[status(thm)],[c_347063,c_30376]) ).
tcf(c_347736,plain,
( v3_membered(np__0)
| ~ v3_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(demodulation,[status(thm)],[c_347064,c_30376]) ).
tcf(c_347737,plain,
( v2_membered(np__0)
| ~ v3_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(demodulation,[status(thm)],[c_347065,c_30376]) ).
tcf(c_347738,plain,
( v1_membered(np__0)
| ~ v3_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(demodulation,[status(thm)],[c_347066,c_30376]) ).
tcf(c_347739,plain,
( v1_relat_1(np__0)
| ~ v1_relat_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(demodulation,[status(thm)],[c_347067,c_30376]) ).
tcf(c_347750,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| m1_subset_1(sK47(k2_tarski(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))),X1)),k2_tarski(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))),X1))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_328348,c_344362]) ).
tcf(c_347751,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r2_hidden(sK47(k2_tarski(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))),X1)),k2_tarski(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))),X1))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326624,c_344362]) ).
tcf(c_347752,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k2_tarski(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))),X1)) ),
inference(superposition,[status(thm)],[c_326591,c_344362]) ).
tcf(c_347753,plain,
! [X0: $i] :
( v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))),k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_281,c_344362]) ).
tcf(c_347775,plain,
! [X0: $i] :
( v4_ordinal2(k2_xcmplx_0(X0,np__1))
| ~ v4_ordinal2(X0)
| ~ v5_membered(k2_finseq_1(k2_xcmplx_0(X0,np__1))) ),
inference(superposition,[status(thm)],[c_1169,c_2042]) ).
tcf(c_347776,plain,
! [X0: $i] :
( v1_xcmplx_0(k2_xcmplx_0(X0,np__1))
| ~ v4_ordinal2(X0)
| ~ v1_membered(k2_finseq_1(k2_xcmplx_0(X0,np__1))) ),
inference(superposition,[status(thm)],[c_1169,c_1804]) ).
tcf(c_347777,plain,
! [X0: $i] :
( ~ v4_ordinal2(X0)
| ~ r2_hidden(k2_finseq_1(k2_xcmplx_0(X0,np__1)),k2_xcmplx_0(X0,np__1)) ),
inference(superposition,[status(thm)],[c_1169,c_196]) ).
tcf(c_347778,plain,
! [X0: $i] :
( r2_hidden(sK47(k2_finseq_1(k2_xcmplx_0(X0,np__1))),k2_finseq_1(k2_xcmplx_0(X0,np__1)))
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_1169,c_192]) ).
tcf(c_347779,plain,
! [X0: $i] :
( ~ v4_ordinal2(X0)
| ~ v1_xboole_0(k2_finseq_1(k2_xcmplx_0(X0,np__1))) ),
inference(superposition,[status(thm)],[c_1169,c_191]) ).
tcf(c_347780,plain,
! [X0: $i] :
( m1_subset_1(k2_xcmplx_0(X0,np__1),k2_finseq_1(k2_xcmplx_0(X0,np__1)))
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_1169,c_186]) ).
tcf(c_347807,plain,
! [X0: $i,X1: $i] :
( ~ v1_int_1(X0)
| ~ m1_subset_1(X1,k5_numbers)
| ~ v2_xreal_0(k2_xcmplx_0(X0,X1))
| ~ v3_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1176,c_2171]) ).
tcf(c_347808,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(k2_xcmplx_0(X1,X0))
| v3_xreal_0(k2_xcmplx_0(X1,X0))
| v1_xboole_0(k2_xcmplx_0(X1,X0))
| ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_1176,c_2168]) ).
tcf(c_347827,plain,
! [X0: $i] : m1_subset_1(sK47(k2_tarski(X0,k5_finsub_1(sK413))),k2_tarski(X0,k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_328348,c_333079]) ).
tcf(c_347828,plain,
! [X0: $i] : r2_hidden(sK47(k2_tarski(X0,k5_finsub_1(sK413))),k2_tarski(X0,k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_326624,c_333079]) ).
tcf(c_347829,plain,
! [X0: $i] : ~ v1_xboole_0(k2_tarski(X0,k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_326591,c_333079]) ).
tcf(c_347833,plain,
k4_xboole_0(sK47(k5_finsub_1(sK413)),k2_tarski(k5_finsub_1(sK413),k5_finsub_1(sK413))) = sK47(k5_finsub_1(sK413)),
inference(superposition,[status(thm)],[c_802,c_333092]) ).
tcf(c_347834,plain,
k4_xboole_0(sK25(k5_finsub_1(sK413),np__0),k2_tarski(sK413,sK413)) = sK25(k5_finsub_1(sK413),np__0),
inference(superposition,[status(thm)],[c_802,c_333096]) ).
tcf(c_347835,plain,
! [X0: $i] : m1_subset_1(sK47(k2_tarski(k5_finsub_1(sK413),X0)),k2_tarski(k5_finsub_1(sK413),X0)),
inference(superposition,[status(thm)],[c_328348,c_333100]) ).
tcf(c_347836,plain,
! [X0: $i] : r2_hidden(sK47(k2_tarski(k5_finsub_1(sK413),X0)),k2_tarski(k5_finsub_1(sK413),X0)),
inference(superposition,[status(thm)],[c_326624,c_333100]) ).
tcf(c_347837,plain,
! [X0: $i] : ~ v1_xboole_0(k2_tarski(k5_finsub_1(sK413),X0)),
inference(superposition,[status(thm)],[c_326591,c_333100]) ).
tcf(c_347845,plain,
! [X0: $i] :
( r1_xboole_0(X0,sK24)
| m1_subset_1(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_328348,c_347074]) ).
tcf(c_347846,plain,
! [X0: $i] :
( r1_xboole_0(X0,sK24)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_326624,c_347074]) ).
tcf(c_347847,plain,
! [X0: $i] :
( r1_xboole_0(X0,sK24)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_326591,c_347074]) ).
tcf(c_347848,plain,
r1_xboole_0(np__0,sK24),
inference(superposition,[status(thm)],[c_96,c_347074]) ).
tcf(c_347850,plain,
! [X0: $i] :
( r1_xboole_0(k2_tarski(X0,X0),sK24)
| ~ r2_hidden(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_281,c_347074]) ).
tcf(c_347851,plain,
! [X0: $i] :
( r1_xboole_0(k2_relat_1(sK89(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)),sK24)
| ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 ) ),
inference(superposition,[status(thm)],[c_406,c_347074]) ).
tcf(c_347852,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k4_xboole_0(X0,X1),sK24)
| ~ r1_tarski(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_812,c_347074]) ).
tcf(c_347853,plain,
! [X0: $i] : r1_xboole_0(k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0),sK24),
inference(superposition,[status(thm)],[c_819,c_347074]) ).
tcf(c_347856,plain,
! [X0: $i] :
( r1_xboole_0(k7_relat_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0),sK24)
| ~ v1_relat_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_2269,c_347074]) ).
tcf(c_347857,plain,
! [X0: $i] :
( r1_xboole_0(k1_relat_1(k7_relat_1(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2270,c_347074]) ).
tcf(c_347858,plain,
( v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(sK53(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_326377,c_347074]) ).
tcf(c_347859,plain,
( v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(sK210(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_326378,c_347074]) ).
tcf(c_347860,plain,
( v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(sK211(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_326379,c_347074]) ).
tcf(c_347861,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| r1_xboole_0(sK26(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X1,X0),sK24)
| ~ r1_tarski(X1,k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))
| ~ r1_tarski(X0,k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))) ),
inference(superposition,[status(thm)],[c_323884,c_347074]) ).
tcf(c_347862,plain,
r1_xboole_0(sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24),
inference(superposition,[status(thm)],[c_323947,c_347074]) ).
tcf(c_347863,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_xboole_0(sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),sK24)
| ~ r1_tarski(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_327049,c_347074]) ).
tcf(c_347864,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(X0),sK24)
| r1_tarski(sK47(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_330228,c_347074]) ).
tcf(c_347865,plain,
! [X0: $i] : r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24),
inference(superposition,[status(thm)],[c_324338,c_347074]) ).
tcf(c_347866,plain,
( v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(sK207(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_325276,c_347074]) ).
tcf(c_347867,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X0)
| r1_xboole_0(sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X0),sK24) ),
inference(superposition,[status(thm)],[c_328506,c_347074]) ).
tcf(c_347868,plain,
r1_xboole_0(sK29(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24),
inference(superposition,[status(thm)],[c_326374,c_347074]) ).
tcf(c_347869,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| r1_xboole_0(sK26(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X1,X0),sK24)
| ~ r1_tarski(X1,k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))
| ~ r1_tarski(X0,k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))) ),
inference(superposition,[status(thm)],[c_326381,c_347074]) ).
tcf(c_347870,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_xboole_0(sK25(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK24)
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328021,c_347074]) ).
tcf(c_347871,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_xboole_0(sK25(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK24)
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_326382,c_347074]) ).
tcf(c_347872,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_xboole_0(sK25(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),sK24)
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_327861,c_347074]) ).
tcf(c_347873,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X1)
| r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK26(k5_finsub_1(X0),X2,X1))
| r1_xboole_0(sK25(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK26(k5_finsub_1(X0),X2,X1)),sK24)
| ~ r1_tarski(X2,k5_finsub_1(X0))
| ~ r1_tarski(X1,k5_finsub_1(X0))
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X0) ),
inference(superposition,[status(thm)],[c_326385,c_347074]) ).
tcf(c_347874,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X0)
| r1_xboole_0(sK28(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X0),sK24) ),
inference(superposition,[status(thm)],[c_326593,c_347074]) ).
tcf(c_347875,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X1,X0))
| r1_xboole_0(sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X0,X1)),sK24) ),
inference(superposition,[status(thm)],[c_330258,c_347074]) ).
tcf(c_347876,plain,
r1_xboole_0(sK47(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24),
inference(superposition,[status(thm)],[c_328444,c_347074]) ).
tcf(c_347877,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X0)
| r1_xboole_0(sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) ),
inference(superposition,[status(thm)],[c_330228,c_347074]) ).
tcf(c_347878,plain,
r1_xboole_0(sK25(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0),sK24),
inference(superposition,[status(thm)],[c_328139,c_347074]) ).
tcf(c_347879,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| r1_xboole_0(sK25(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X1,k4_xboole_0(X1,X0))),sK24)
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X0) ),
inference(superposition,[status(thm)],[c_331985,c_347074]) ).
tcf(c_347880,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X1,X0))
| r1_xboole_0(sK25(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X1,X0)),sK24)
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_331819,c_347074]) ).
tcf(c_347895,plain,
r1_xboole_0(sK207(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_347866,c_1377]) ).
tcf(c_347896,plain,
r1_xboole_0(sK211(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_347860,c_1377]) ).
tcf(c_347897,plain,
r1_xboole_0(sK210(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_347859,c_1377]) ).
tcf(c_347898,plain,
r1_xboole_0(sK53(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_347858,c_1377]) ).
tcf(c_347907,plain,
! [X0: $i] : r1_xboole_0(k2_relat_1(sK89(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_347851,c_331682]) ).
tcf(c_347962,plain,
! [X0: $i] :
( ( k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),k2_tarski(X0,X0)) = k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) )
| ~ r2_hidden(X0,sK24) ),
inference(superposition,[status(thm)],[c_802,c_347035]) ).
tcf(c_347963,plain,
! [X0: $i] :
( r1_tarski(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)
| ~ r2_hidden(sK28(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0),sK24) ),
inference(superposition,[status(thm)],[c_103,c_347035]) ).
tcf(c_347964,plain,
( ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 )
| ~ r2_hidden(sK41(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_167,c_347035]) ).
tcf(c_347965,plain,
( v1_realset1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r2_hidden(sK72(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_337,c_347035]) ).
tcf(c_347966,plain,
( v1_realset1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r2_hidden(sK73(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_338,c_347035]) ).
tcf(c_347967,plain,
( v1_relat_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r2_hidden(sK115(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_346237,c_347035]) ).
tcf(c_347968,plain,
( ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 )
| ~ r2_hidden(sK118(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_558,c_347035]) ).
tcf(c_347969,plain,
( sP0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| v1_funct_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r2_hidden(sK124(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_569,c_347035]) ).
tcf(c_347970,plain,
( sP0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| v1_relat_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r2_hidden(sK124(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_567,c_347035]) ).
tcf(c_347971,plain,
( v1_relat_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r2_hidden(sK137(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_587,c_347035]) ).
tcf(c_347975,plain,
( v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ v1_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r2_hidden(sK354(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_1801,c_347035]) ).
tcf(c_347976,plain,
( v1_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r2_hidden(sK355(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_1803,c_347035]) ).
tcf(c_347977,plain,
( v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ v5_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r2_hidden(sK401(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_2039,c_347035]) ).
tcf(c_347978,plain,
( v5_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r2_hidden(sK402(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_2041,c_347035]) ).
tcf(c_347979,plain,
( ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 )
| ~ r2_hidden(sK432(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_2378,c_347035]) ).
tcf(c_347980,plain,
( ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 )
| ~ r2_hidden(sK433(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_2380,c_347035]) ).
tcf(c_347981,plain,
( ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 )
| ~ r2_hidden(sK434(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_2382,c_347035]) ).
tcf(c_347982,plain,
( ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 )
| ~ r2_hidden(sK435(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_2384,c_347035]) ).
tcf(c_347983,plain,
( ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 )
| ~ r2_hidden(sK436(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_2386,c_347035]) ).
tcf(c_347984,plain,
( ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 )
| ~ r2_hidden(sK437(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_2388,c_347035]) ).
tcf(c_347985,plain,
! [X0: $i] :
( r1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)
| ~ r2_hidden(sK439(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0),sK24) ),
inference(superposition,[status(thm)],[c_2439,c_347035]) ).
tcf(c_347986,plain,
! [X0: $i] :
( r1_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r2_hidden(sK439(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_2440,c_347035]) ).
tcf(c_347987,plain,
( v1_membered(k3_tarski(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))
| ~ r2_hidden(sK441(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_2459,c_347035]) ).
tcf(c_347990,plain,
( v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r2_hidden(sK47(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_329782,c_347035]) ).
tcf(c_347998,plain,
( v1_realset1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r2_hidden(sK47(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_326627,c_347035]) ).
tcf(c_347999,plain,
( v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r2_hidden(sK29(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_329379,c_347035]) ).
tcf(c_348000,plain,
~ r2_hidden(sK29(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_347999,c_1377]) ).
tcf(c_348009,plain,
~ r2_hidden(sK47(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_347990,c_1377]) ).
tcf(c_348024,plain,
~ r2_hidden(sK437(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_347984,c_331682]) ).
tcf(c_348025,plain,
~ r2_hidden(sK436(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_347983,c_331682]) ).
tcf(c_348026,plain,
~ r2_hidden(sK435(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_347982,c_331682]) ).
tcf(c_348027,plain,
~ r2_hidden(sK434(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_347981,c_331682]) ).
tcf(c_348028,plain,
~ r2_hidden(sK433(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_347980,c_331682]) ).
tcf(c_348029,plain,
~ r2_hidden(sK432(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_347979,c_331682]) ).
tcf(c_348032,plain,
~ r2_hidden(sK118(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_347968,c_331682]) ).
tcf(c_348033,plain,
~ r2_hidden(sK41(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_347964,c_331682]) ).
tcf(c_348044,plain,
( ~ v5_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r2_hidden(sK401(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_347977,c_1377]) ).
tcf(c_348047,plain,
( ~ v1_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r2_hidden(sK354(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_347975,c_1377]) ).
tcf(c_348168,plain,
k4_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))) = k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),
inference(superposition,[status(thm)],[c_347195,c_2410]) ).
tcf(c_348181,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| m1_subset_1(sK47(k2_tarski(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),k2_tarski(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_328348,c_344363]) ).
tcf(c_348182,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r2_hidden(sK47(k2_tarski(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),k2_tarski(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326624,c_344363]) ).
tcf(c_348183,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(k2_tarski(X0,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))) ),
inference(superposition,[status(thm)],[c_326591,c_344363]) ).
tcf(c_348394,plain,
! [X0: $i] :
( r2_hidden(np__2,X0)
| r2_hidden(np__1,X0)
| r1_xboole_0(k2_finseq_1(np__2),X0) ),
inference(superposition,[status(thm)],[c_1821,c_1400]) ).
tcf(c_348396,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X0)
| r2_hidden(X1,X0)
| r1_xboole_0(X0,k2_tarski(X1,X2)) ),
inference(superposition,[status(thm)],[c_1400,c_2434]) ).
tcf(c_348398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k2_tarski(X0,X3),X2)
| r2_hidden(X3,k2_xboole_0(X1,X2))
| r2_hidden(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_1400,c_2425]) ).
tcf(c_348399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k2_tarski(X0,X3),X1)
| r2_hidden(X3,k2_xboole_0(X1,X2))
| r2_hidden(X0,k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_1400,c_2424]) ).
tcf(c_348418,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| m1_subset_1(sK47(k2_xboole_0(k2_tarski(X0,X1),X2)),k2_xboole_0(k2_tarski(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_328348,c_1405]) ).
tcf(c_348421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k2_zfmisc_1(X2,X3))
| ~ m1_relset_1(k2_xboole_0(k2_tarski(X0,X1),k2_zfmisc_1(X2,X3)),X2,X3) ),
inference(superposition,[status(thm)],[c_1063,c_1405]) ).
tcf(c_348422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k2_xboole_0(X2,X3))
| ~ r1_tarski(k2_xboole_0(k2_tarski(X0,X1),k2_xboole_0(X2,X3)),X3) ),
inference(superposition,[status(thm)],[c_515,c_1405]) ).
tcf(c_348423,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X2)
| r2_hidden(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_tarski(k2_xboole_0(k2_tarski(X0,X1),k1_zfmisc_1(u1_struct_0(X2))),k7_lopclset(X2)) ),
inference(superposition,[status(thm)],[c_343633,c_1405]) ).
tcf(c_348425,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k4_xboole_0(X2,k2_tarski(X0,X1)))
| ~ r1_tarski(k2_xboole_0(k2_tarski(X0,X1),X2),k4_xboole_0(X2,k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_499,c_1405]) ).
tcf(c_348427,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,np__0)
| ~ r1_tarski(k2_tarski(X0,X1),np__0) ),
inference(superposition,[status(thm)],[c_522,c_1405]) ).
tcf(c_348429,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X0)
| ~ r1_tarski(k2_xboole_0(X0,k2_tarski(X1,X2)),X0) ),
inference(superposition,[status(thm)],[c_524,c_1405]) ).
tcf(c_348430,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k4_xboole_0(k2_tarski(X0,X1),X2))
| ~ r1_tarski(k2_tarski(X0,X1),k4_xboole_0(k2_tarski(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_31762,c_1405]) ).
tcf(c_348432,plain,
! [X0: $i] :
( r2_hidden(np__0,X0)
| ~ r1_tarski(k2_xboole_0(k5_finsub_1(np__0),X0),X0) ),
inference(superposition,[status(thm)],[c_919,c_1405]) ).
tcf(c_348433,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| ~ r1_tarski(k2_xboole_0(k2_tarski(X0,X1),X2),X2) ),
inference(superposition,[status(thm)],[c_1429,c_1405]) ).
tcf(c_348434,plain,
! [X0: $i] :
( r2_hidden(np__1,X0)
| ~ r1_tarski(k2_xboole_0(k2_finseq_1(np__1),X0),X0) ),
inference(superposition,[status(thm)],[c_1820,c_1405]) ).
tcf(c_348435,plain,
! [X0: $i] :
( r2_hidden(np__1,X0)
| ~ r1_tarski(k2_xboole_0(k2_finseq_1(np__2),X0),X0) ),
inference(superposition,[status(thm)],[c_1821,c_1405]) ).
tcf(c_348436,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k2_tarski(X0,X1),np__0),
inference(forward_subsumption_resolution,[status(thm)],[c_348427,c_168]) ).
tcf(c_348531,plain,
! [X0: $i,X1: $i] : m1_subset_1(sK47(k2_tarski(X0,X1)),k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_328348,c_348436]) ).
tcf(c_348538,plain,
~ r1_tarski(k2_finseq_1(np__1),np__0),
inference(superposition,[status(thm)],[c_1820,c_348436]) ).
tcf(c_348539,plain,
~ r1_tarski(k2_finseq_1(np__2),np__0),
inference(superposition,[status(thm)],[c_1821,c_348436]) ).
tcf(c_348547,plain,
! [X0: $i] :
( r1_tarski(sK24,k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))
| ~ r1_tarski(sK24,k2_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))) ),
inference(superposition,[status(thm)],[c_498,c_347071]) ).
tcf(c_348549,plain,
( r1_tarski(sK24,np__0)
| ~ r1_tarski(sK24,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_30376,c_347071]) ).
tcf(c_348553,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k4_xboole_0(X1,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))
| ~ r1_tarski(sK24,X1)
| ~ r1_tarski(X0,sK24) ),
inference(superposition,[status(thm)],[c_347071,c_97]) ).
tcf(c_348554,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))
| ~ r2_hidden(X1,sK24)
| ~ r1_tarski(sK24,X0) ),
inference(superposition,[status(thm)],[c_347071,c_104]) ).
tcf(c_348555,plain,
! [X0: $i] :
( v1_xboole_0(sK24)
| ~ r1_tarski(sK24,X0)
| ~ r1_xboole_0(sK24,k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))) ),
inference(superposition,[status(thm)],[c_347071,c_2426]) ).
tcf(c_348556,plain,
! [X0: $i] :
( ( k4_xboole_0(sK24,k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))) = np__0 )
| ~ r1_tarski(sK24,X0) ),
inference(superposition,[status(thm)],[c_347071,c_817]) ).
tcf(c_348557,plain,
! [X0: $i] :
( ( k2_xboole_0(sK24,k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))) = k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) )
| ~ r1_tarski(sK24,X0) ),
inference(superposition,[status(thm)],[c_347071,c_513]) ).
tcf(c_348558,plain,
! [X0: $i] :
( v1_membered(sK24)
| ~ r1_tarski(sK24,X0)
| ~ v1_membered(k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))) ),
inference(superposition,[status(thm)],[c_347071,c_2460]) ).
tcf(c_348559,plain,
! [X0: $i] :
( v1_finset_1(sK24)
| ~ r1_tarski(sK24,X0)
| ~ v1_finset_1(k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))) ),
inference(superposition,[status(thm)],[c_347071,c_872]) ).
tcf(c_348560,plain,
! [X0: $i] :
( v1_relat_1(sK24)
| ~ r1_tarski(sK24,X0)
| ~ v1_relat_1(k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))) ),
inference(superposition,[status(thm)],[c_347071,c_70]) ).
tcf(c_348561,plain,
! [X0: $i] :
( ~ r1_tarski(sK24,X0)
| ~ r2_hidden(k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_347071,c_69]) ).
tcf(c_348562,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK24)
| m1_subset_1(sK25(X0,sK24),X0)
| ~ r1_tarski(sK24,X1)
| ~ r1_tarski(X0,k4_xboole_0(X1,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))) ),
inference(superposition,[status(thm)],[c_347071,c_97752]) ).
tcf(c_348621,plain,
! [X0: $i] :
( m1_subset_1(sK47(X0),X0)
| r1_tarski(sK24,k4_xboole_0(sK24,X0)) ),
inference(superposition,[status(thm)],[c_328348,c_347073]) ).
tcf(c_348622,plain,
! [X0: $i] :
( r2_hidden(sK47(X0),X0)
| r1_tarski(sK24,k4_xboole_0(sK24,X0)) ),
inference(superposition,[status(thm)],[c_326624,c_347073]) ).
tcf(c_348623,plain,
! [X0: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_326591,c_347073]) ).
tcf(c_348624,plain,
r1_tarski(sK24,k4_xboole_0(sK24,np__0)),
inference(superposition,[status(thm)],[c_96,c_347073]) ).
tcf(c_348626,plain,
! [X0: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,k2_tarski(X0,X0)))
| ~ r2_hidden(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_281,c_347073]) ).
tcf(c_348627,plain,
! [X0: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,k2_relat_1(sK89(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0))))
| ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 ) ),
inference(superposition,[status(thm)],[c_406,c_347073]) ).
tcf(c_348628,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,k4_xboole_0(X0,X1)))
| ~ r1_tarski(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_812,c_347073]) ).
tcf(c_348629,plain,
! [X0: $i] : r1_tarski(sK24,k4_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0))),
inference(superposition,[status(thm)],[c_819,c_347073]) ).
tcf(c_348630,plain,
r1_tarski(sK24,k4_xboole_0(sK24,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),
inference(superposition,[status(thm)],[c_1425,c_347073]) ).
tcf(c_348632,plain,
! [X0: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,k7_relat_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)))
| ~ v1_relat_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_2269,c_347073]) ).
tcf(c_348633,plain,
! [X0: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,k1_relat_1(k7_relat_1(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2270,c_347073]) ).
tcf(c_348634,plain,
( v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_tarski(sK24,k4_xboole_0(sK24,sK53(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))) ),
inference(superposition,[status(thm)],[c_326377,c_347073]) ).
tcf(c_348635,plain,
( v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_tarski(sK24,k4_xboole_0(sK24,sK210(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))) ),
inference(superposition,[status(thm)],[c_326378,c_347073]) ).
tcf(c_348636,plain,
( v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_tarski(sK24,k4_xboole_0(sK24,sK211(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))) ),
inference(superposition,[status(thm)],[c_326379,c_347073]) ).
tcf(c_348637,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| r1_tarski(sK24,k4_xboole_0(sK24,sK26(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X1,X0)))
| ~ r1_tarski(X1,k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))
| ~ r1_tarski(X0,k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))) ),
inference(superposition,[status(thm)],[c_323884,c_347073]) ).
tcf(c_348638,plain,
r1_tarski(sK24,k4_xboole_0(sK24,sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))),
inference(superposition,[status(thm)],[c_323947,c_347073]) ).
tcf(c_348639,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK24,k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))))
| ~ r1_tarski(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_327049,c_347073]) ).
tcf(c_348640,plain,
! [X0: $i] :
( r1_tarski(sK47(k5_finsub_1(X0)),X0)
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_330228,c_347073]) ).
tcf(c_348641,plain,
! [X0: $i] : r1_tarski(sK24,k4_xboole_0(sK24,k4_xboole_0(X0,k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))),
inference(superposition,[status(thm)],[c_324338,c_347073]) ).
tcf(c_348642,plain,
( v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_tarski(sK24,k4_xboole_0(sK24,sK207(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))) ),
inference(superposition,[status(thm)],[c_325276,c_347073]) ).
tcf(c_348643,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X0)
| r1_tarski(sK24,k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X0))) ),
inference(superposition,[status(thm)],[c_328506,c_347073]) ).
tcf(c_348644,plain,
r1_tarski(sK24,k4_xboole_0(sK24,sK29(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))),
inference(superposition,[status(thm)],[c_326374,c_347073]) ).
tcf(c_348645,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| r1_tarski(sK24,k4_xboole_0(sK24,sK26(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X1,X0)))
| ~ r1_tarski(X1,k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))
| ~ r1_tarski(X0,k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))) ),
inference(superposition,[status(thm)],[c_326381,c_347073]) ).
tcf(c_348646,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK24,k4_xboole_0(sK24,sK25(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))))
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328021,c_347073]) ).
tcf(c_348647,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK24,k4_xboole_0(sK24,sK25(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))))
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_326382,c_347073]) ).
tcf(c_348648,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK24,k4_xboole_0(sK24,sK25(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))))
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_327861,c_347073]) ).
tcf(c_348649,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X1)
| r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK26(k5_finsub_1(X0),X2,X1))
| r1_tarski(sK24,k4_xboole_0(sK24,sK25(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK26(k5_finsub_1(X0),X2,X1))))
| ~ r1_tarski(X2,k5_finsub_1(X0))
| ~ r1_tarski(X1,k5_finsub_1(X0))
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X0) ),
inference(superposition,[status(thm)],[c_326385,c_347073]) ).
tcf(c_348650,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X0)
| r1_tarski(sK24,k4_xboole_0(sK24,sK28(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X0))) ),
inference(superposition,[status(thm)],[c_326593,c_347073]) ).
tcf(c_348651,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X1,X0))
| r1_tarski(sK24,k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X0,X1)))) ),
inference(superposition,[status(thm)],[c_330258,c_347073]) ).
tcf(c_348652,plain,
r1_tarski(sK24,k4_xboole_0(sK24,sK47(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))),
inference(superposition,[status(thm)],[c_328444,c_347073]) ).
tcf(c_348653,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X0)
| r1_tarski(sK24,k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_330228,c_347073]) ).
tcf(c_348654,plain,
r1_tarski(sK24,k4_xboole_0(sK24,sK25(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0))),
inference(superposition,[status(thm)],[c_328139,c_347073]) ).
tcf(c_348655,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| r1_tarski(sK24,k4_xboole_0(sK24,sK25(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X1,k4_xboole_0(X1,X0)))))
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X0) ),
inference(superposition,[status(thm)],[c_331985,c_347073]) ).
tcf(c_348656,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X1,X0))
| r1_tarski(sK24,k4_xboole_0(sK24,sK25(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X1,X0))))
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_331819,c_347073]) ).
tcf(c_348672,plain,
r1_tarski(sK24,k4_xboole_0(sK24,sK207(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),
inference(forward_subsumption_resolution,[status(thm)],[c_348642,c_1377]) ).
tcf(c_348673,plain,
r1_tarski(sK24,k4_xboole_0(sK24,sK211(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),
inference(forward_subsumption_resolution,[status(thm)],[c_348636,c_1377]) ).
tcf(c_348674,plain,
r1_tarski(sK24,k4_xboole_0(sK24,sK210(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),
inference(forward_subsumption_resolution,[status(thm)],[c_348635,c_1377]) ).
tcf(c_348675,plain,
r1_tarski(sK24,k4_xboole_0(sK24,sK53(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),
inference(forward_subsumption_resolution,[status(thm)],[c_348634,c_1377]) ).
tcf(c_348684,plain,
! [X0: $i] : r1_tarski(sK24,k4_xboole_0(sK24,k2_relat_1(sK89(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)))),
inference(forward_subsumption_resolution,[status(thm)],[c_348627,c_331682]) ).
tcf(c_348843,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r2_hidden(X0,k4_xboole_0(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23)))) ),
inference(superposition,[status(thm)],[c_346612,c_955]) ).
tcf(c_348844,plain,
! [X0: $i] :
( r1_tarski(k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK47(u1_struct_0(sK23)))
| ~ r1_tarski(X0,sK47(u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_822]) ).
tcf(c_348845,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK47(u1_struct_0(sK23)))
| ~ r2_hidden(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_831]) ).
tcf(c_348847,plain,
! [X0: $i] :
( r1_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r1_tarski(X0,sK47(u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_2401]) ).
tcf(c_348850,plain,
! [X0: $i] :
( r1_tarski(sK47(u1_struct_0(sK23)),k2_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0))
| ~ r1_tarski(sK47(u1_struct_0(sK23)),X0) ),
inference(superposition,[status(thm)],[c_346612,c_494]) ).
tcf(c_348851,plain,
r1_tarski(k2_zfmisc_1(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23))),k1_zfmisc_1(k1_zfmisc_1(sK47(u1_struct_0(sK23))))),
inference(superposition,[status(thm)],[c_346612,c_330381]) ).
tcf(c_348854,plain,
( r1_tarski(sK47(u1_struct_0(sK23)),k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ( sK47(u1_struct_0(sK23)) != np__0 ) ),
inference(superposition,[status(thm)],[c_346612,c_818]) ).
tcf(c_348855,plain,
k2_xboole_0(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23))) = sK47(u1_struct_0(sK23)),
inference(superposition,[status(thm)],[c_346612,c_31762]) ).
tcf(c_348856,plain,
~ r2_hidden(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23))),
inference(superposition,[status(thm)],[c_346612,c_326292]) ).
tcf(c_348859,plain,
( v1_membered(sK47(u1_struct_0(sK23)))
| ~ v2_membered(sK47(u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_2464]) ).
tcf(c_348861,plain,
( v2_membered(sK47(u1_struct_0(sK23)))
| ~ v3_membered(sK47(u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_2462]) ).
tcf(c_348862,plain,
( v1_membered(sK47(u1_struct_0(sK23)))
| ~ v3_membered(sK47(u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_2461]) ).
tcf(c_348863,plain,
r1_xboole_0(sK47(u1_struct_0(sK23)),k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),sK47(u1_struct_0(sK23)))),
inference(superposition,[status(thm)],[c_346612,c_2411]) ).
tcf(c_348866,plain,
r1_tarski(k4_xboole_0(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23))),k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),
inference(superposition,[status(thm)],[c_346612,c_324338]) ).
tcf(c_348867,plain,
r1_xboole_0(sK47(u1_struct_0(sK23)),k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),
inference(superposition,[status(thm)],[c_346612,c_2414]) ).
tcf(c_348868,plain,
r1_tarski(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23))),
inference(superposition,[status(thm)],[c_346612,c_819]) ).
tcf(c_348869,plain,
r1_tarski(k1_zfmisc_1(sK47(u1_struct_0(sK23))),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(u1_struct_0(sK23))),k1_zfmisc_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))),
inference(superposition,[status(thm)],[c_346612,c_33271]) ).
tcf(c_348870,plain,
( ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 )
| ~ r1_tarski(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),sK47(u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_816]) ).
tcf(c_348871,plain,
( v1_membered(k4_xboole_0(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23))))
| ~ v1_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_2477]) ).
tcf(c_348872,plain,
( v2_membered(k4_xboole_0(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23))))
| ~ v2_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_2474]) ).
tcf(c_348873,plain,
( v1_membered(k4_xboole_0(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23))))
| ~ v2_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_2473]) ).
tcf(c_348874,plain,
( v3_membered(k4_xboole_0(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23))))
| ~ v3_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_2469]) ).
tcf(c_348875,plain,
( v2_membered(k4_xboole_0(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23))))
| ~ v3_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_2468]) ).
tcf(c_348876,plain,
( v1_membered(k4_xboole_0(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23))))
| ~ v3_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_2467]) ).
tcf(c_348877,plain,
( v1_relat_1(k4_xboole_0(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23))))
| ~ v1_relat_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_925]) ).
tcf(c_348878,plain,
( v1_finset_1(k4_xboole_0(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23))))
| ~ v1_finset_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_878]) ).
tcf(c_348879,plain,
r1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),sK47(u1_struct_0(sK23))),
inference(superposition,[status(thm)],[c_346612,c_325973]) ).
tcf(c_348880,plain,
r1_xboole_0(k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),sK47(u1_struct_0(sK23))),sK47(u1_struct_0(sK23))),
inference(superposition,[status(thm)],[c_346612,c_2411]) ).
tcf(c_348881,plain,
! [X0: $i] :
( r1_tarski(sK47(u1_struct_0(sK23)),k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))
| ~ r1_tarski(sK47(u1_struct_0(sK23)),X0) ),
inference(superposition,[status(thm)],[c_346612,c_822]) ).
tcf(c_348883,plain,
! [X0: $i] :
( r1_tarski(sK47(u1_struct_0(sK23)),k4_xboole_0(sK47(u1_struct_0(sK23)),X0))
| ~ r1_tarski(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_821]) ).
tcf(c_348884,plain,
! [X0: $i] :
( r1_xboole_0(X0,sK47(u1_struct_0(sK23)))
| ~ r1_tarski(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_2407]) ).
tcf(c_348885,plain,
! [X0: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23)))),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(sK47(u1_struct_0(sK23)),k4_xboole_0(sK47(u1_struct_0(sK23)),k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_331985]) ).
tcf(c_348886,plain,
! [X0: $i] :
( r1_tarski(k4_xboole_0(sK47(u1_struct_0(sK23)),X0),sK47(u1_struct_0(sK23)))
| ~ r1_tarski(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0) ),
inference(superposition,[status(thm)],[c_346612,c_821]) ).
tcf(c_348900,plain,
v1_finset_1(k4_xboole_0(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23)))),
inference(forward_subsumption_resolution,[status(thm)],[c_348878,c_881]) ).
tcf(c_348927,plain,
~ r1_tarski(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),sK47(u1_struct_0(sK23))),
inference(forward_subsumption_resolution,[status(thm)],[c_348870,c_331682]) ).
tcf(c_348928,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23))))
| r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23)))),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(light_normalisation,[status(thm)],[c_348885,c_346612]) ).
tcf(c_348941,plain,
r1_tarski(k1_zfmisc_1(sK24),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))),
inference(demodulation,[status(thm)],[c_347059,c_330898]) ).
tcf(c_348942,plain,
! [X0: $i] :
( r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))))
| ~ r1_tarski(X0,k1_zfmisc_1(sK24)) ),
inference(superposition,[status(thm)],[c_348941,c_97]) ).
tcf(c_348943,plain,
! [X0: $i] :
( r2_hidden(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))))
| ~ r2_hidden(X0,k1_zfmisc_1(sK24)) ),
inference(superposition,[status(thm)],[c_348941,c_104]) ).
tcf(c_348944,plain,
( v1_xboole_0(k1_zfmisc_1(sK24))
| ~ r1_xboole_0(k1_zfmisc_1(sK24),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_348941,c_2426]) ).
tcf(c_348945,plain,
k4_xboole_0(k1_zfmisc_1(sK24),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) = np__0,
inference(superposition,[status(thm)],[c_348941,c_817]) ).
tcf(c_348946,plain,
k2_xboole_0(k1_zfmisc_1(sK24),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) = k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),
inference(superposition,[status(thm)],[c_348941,c_513]) ).
tcf(c_348947,plain,
( v1_membered(k1_zfmisc_1(sK24))
| ~ v1_membered(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_348941,c_2460]) ).
tcf(c_348948,plain,
( v1_finset_1(k1_zfmisc_1(sK24))
| ~ v1_finset_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_348941,c_872]) ).
tcf(c_348949,plain,
( v1_relat_1(k1_zfmisc_1(sK24))
| ~ v1_relat_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_348941,c_70]) ).
tcf(c_348950,plain,
~ r2_hidden(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),k1_zfmisc_1(sK24)),
inference(superposition,[status(thm)],[c_348941,c_69]) ).
tcf(c_348951,plain,
! [X0: $i] :
( r1_tarski(X0,k1_zfmisc_1(sK24))
| m1_subset_1(sK25(X0,k1_zfmisc_1(sK24)),X0)
| ~ r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_348941,c_97752]) ).
tcf(c_348952,plain,
r1_tarski(k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(np__0)),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),
inference(superposition,[status(thm)],[c_348941,c_495]) ).
tcf(c_348959,plain,
~ r1_xboole_0(k1_zfmisc_1(sK24),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))),
inference(forward_subsumption_resolution,[status(thm)],[c_348944,c_213]) ).
tcf(c_348967,plain,
k2_xboole_0(k5_finsub_1(np__0),k2_xboole_0(k1_zfmisc_1(sK24),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) = k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),
inference(theory_normalisation,[status(thm)],[c_348946,c_521,c_524]) ).
tcf(c_349002,plain,
! [X0: $i] :
( ( k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) = X0 )
| ~ r1_tarski(X0,sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347163,c_2410]) ).
tcf(c_349003,plain,
! [X0: $i] :
( r1_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),X0)
| ~ r1_tarski(X0,sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347163,c_2434]) ).
tcf(c_349004,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(k2_tarski(X0,X1),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347163,c_1401]) ).
tcf(c_349056,plain,
! [X0: $i] :
( m1_subset_1(sK47(X0),X0)
| r1_xboole_0(X0,sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_328348,c_347200]) ).
tcf(c_349057,plain,
! [X0: $i] :
( r2_hidden(sK47(X0),X0)
| r1_xboole_0(X0,sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_326624,c_347200]) ).
tcf(c_349058,plain,
! [X0: $i] :
( r1_xboole_0(X0,sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_326591,c_347200]) ).
tcf(c_349059,plain,
r1_xboole_0(np__0,sK47(a_2_0_lopclset(sK23,sK24))),
inference(superposition,[status(thm)],[c_96,c_347200]) ).
tcf(c_349061,plain,
! [X0: $i] :
( r1_xboole_0(k2_tarski(X0,X0),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_281,c_347200]) ).
tcf(c_349062,plain,
! [X0: $i] :
( r1_xboole_0(k2_relat_1(sK89(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),X0)),sK47(a_2_0_lopclset(sK23,sK24)))
| ( k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)) = np__0 ) ),
inference(superposition,[status(thm)],[c_406,c_347200]) ).
tcf(c_349063,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k4_xboole_0(X0,X1),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_812,c_347200]) ).
tcf(c_349064,plain,
! [X0: $i] : r1_xboole_0(k4_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),X0),sK47(a_2_0_lopclset(sK23,sK24))),
inference(superposition,[status(thm)],[c_819,c_347200]) ).
tcf(c_349067,plain,
! [X0: $i] :
( r1_xboole_0(k7_relat_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),X0),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v1_relat_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_2269,c_347200]) ).
tcf(c_349068,plain,
! [X0: $i] :
( r1_xboole_0(k1_relat_1(k7_relat_1(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2270,c_347200]) ).
tcf(c_349069,plain,
( v1_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| r1_xboole_0(sK53(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_326377,c_347200]) ).
tcf(c_349070,plain,
( v1_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| r1_xboole_0(sK210(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_326378,c_347200]) ).
tcf(c_349071,plain,
( v1_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| r1_xboole_0(sK211(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_326379,c_347200]) ).
tcf(c_349072,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| r1_xboole_0(sK26(k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),X1,X0),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(X1,k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))
| ~ r1_tarski(X0,k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_323884,c_347200]) ).
tcf(c_349073,plain,
r1_xboole_0(sK29(k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(superposition,[status(thm)],[c_323947,c_347200]) ).
tcf(c_349074,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_xboole_0(sK25(k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_327049,c_347200]) ).
tcf(c_349075,plain,
! [X0: $i] :
( r1_tarski(sK47(k5_finsub_1(X0)),X0)
| r1_xboole_0(k5_finsub_1(X0),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_330228,c_347200]) ).
tcf(c_349076,plain,
! [X0: $i] : r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(superposition,[status(thm)],[c_324338,c_347200]) ).
tcf(c_349077,plain,
( v1_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| r1_xboole_0(sK207(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_325276,c_347200]) ).
tcf(c_349078,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),X0)
| r1_xboole_0(sK25(k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),X0),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_328506,c_347200]) ).
tcf(c_349079,plain,
r1_xboole_0(sK29(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(superposition,[status(thm)],[c_326374,c_347200]) ).
tcf(c_349080,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| r1_xboole_0(sK26(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),X1,X0),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(X1,k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))
| ~ r1_tarski(X0,k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_326381,c_347200]) ).
tcf(c_349081,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_xboole_0(sK25(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328021,c_347200]) ).
tcf(c_349082,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_xboole_0(sK25(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_326382,c_347200]) ).
tcf(c_349083,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_xboole_0(sK25(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_327861,c_347200]) ).
tcf(c_349084,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X1)
| r1_tarski(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK26(k5_finsub_1(X0),X2,X1))
| r1_xboole_0(sK25(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK26(k5_finsub_1(X0),X2,X1)),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(X2,k5_finsub_1(X0))
| ~ r1_tarski(X1,k5_finsub_1(X0))
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),X0) ),
inference(superposition,[status(thm)],[c_326385,c_347200]) ).
tcf(c_349085,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),X0)
| r1_xboole_0(sK28(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),X0),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_326593,c_347200]) ).
tcf(c_349086,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k2_xboole_0(X1,X0))
| r1_xboole_0(sK25(k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k2_xboole_0(X0,X1)),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_330258,c_347200]) ).
tcf(c_349087,plain,
r1_xboole_0(sK47(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(superposition,[status(thm)],[c_328444,c_347200]) ).
tcf(c_349088,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),X0)
| r1_xboole_0(sK47(k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_330228,c_347200]) ).
tcf(c_349089,plain,
r1_xboole_0(sK25(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),np__0),sK47(a_2_0_lopclset(sK23,sK24))),
inference(superposition,[status(thm)],[c_328139,c_347200]) ).
tcf(c_349090,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| r1_xboole_0(sK25(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k4_xboole_0(X1,k4_xboole_0(X1,X0))),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),X0) ),
inference(superposition,[status(thm)],[c_331985,c_347200]) ).
tcf(c_349091,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k2_xboole_0(X1,X0))
| r1_xboole_0(sK25(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k2_xboole_0(X1,X0)),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_331819,c_347200]) ).
tcf(c_349106,plain,
r1_xboole_0(sK207(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(forward_subsumption_resolution,[status(thm)],[c_349077,c_1377]) ).
tcf(c_349107,plain,
r1_xboole_0(sK211(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(forward_subsumption_resolution,[status(thm)],[c_349071,c_1377]) ).
tcf(c_349108,plain,
r1_xboole_0(sK210(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(forward_subsumption_resolution,[status(thm)],[c_349070,c_1377]) ).
tcf(c_349109,plain,
r1_xboole_0(sK53(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(forward_subsumption_resolution,[status(thm)],[c_349069,c_1377]) ).
tcf(c_349118,plain,
! [X0: $i] : r1_xboole_0(k2_relat_1(sK89(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),X0)),sK47(a_2_0_lopclset(sK23,sK24))),
inference(forward_subsumption_resolution,[status(thm)],[c_349062,c_331682]) ).
tcf(c_349165,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| m1_subset_1(sK47(k2_xboole_0(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),k2_xboole_0(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_328348,c_344364]) ).
tcf(c_349166,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r2_hidden(sK47(k2_xboole_0(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),k2_xboole_0(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326624,c_344364]) ).
tcf(c_349167,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(k2_xboole_0(X0,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))) ),
inference(superposition,[status(thm)],[c_326591,c_344364]) ).
tcf(c_349182,plain,
! [X0: $i] : k2_tarski(np__0,k2_tarski(X0,X0)) = k5_finsub_1(k2_tarski(X0,X0)),
inference(demodulation,[status(thm)],[c_1416,c_330898]) ).
tcf(c_349183,plain,
k2_tarski(np__0,k5_finsub_1(np__0)) = k5_finsub_1(k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_919,c_349182]) ).
tcf(c_349184,plain,
k2_tarski(np__0,k2_finseq_1(np__1)) = k5_finsub_1(k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_1820,c_349182]) ).
tcf(c_349185,plain,
! [X0: $i] : ~ r1_tarski(k5_finsub_1(k2_tarski(X0,X0)),np__0),
inference(superposition,[status(thm)],[c_349182,c_348436]) ).
tcf(c_349186,plain,
! [X0: $i,X1: $i] :
( r2_hidden(np__0,X1)
| ~ r1_tarski(k2_xboole_0(k5_finsub_1(k2_tarski(X0,X0)),X1),X1) ),
inference(superposition,[status(thm)],[c_349182,c_1405]) ).
tcf(c_349187,plain,
! [X0: $i,X1: $i] :
( r2_hidden(np__0,X1)
| r2_hidden(k2_tarski(X0,X0),X1)
| r1_xboole_0(k5_finsub_1(k2_tarski(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_349182,c_1400]) ).
tcf(c_349188,plain,
! [X0: $i] :
( v1_xreal_0(k2_tarski(X0,X0))
| ~ v2_membered(k5_finsub_1(k2_tarski(X0,X0))) ),
inference(superposition,[status(thm)],[c_349182,c_332661]) ).
tcf(c_349190,plain,
! [X0: $i] :
( v1_xcmplx_0(k2_tarski(X0,X0))
| ~ v2_membered(k5_finsub_1(k2_tarski(X0,X0))) ),
inference(superposition,[status(thm)],[c_349182,c_332388]) ).
tcf(c_349192,plain,
! [X0: $i] :
( v1_xcmplx_0(k2_tarski(X0,X0))
| ~ v1_membered(k5_finsub_1(k2_tarski(X0,X0))) ),
inference(superposition,[status(thm)],[c_349182,c_332119]) ).
tcf(c_349194,plain,
! [X0: $i] :
( v2_membered(k5_finsub_1(k2_tarski(X0,X0)))
| ~ v1_xreal_0(np__0)
| ~ v1_xreal_0(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_349182,c_2492]) ).
tcf(c_349195,plain,
! [X0: $i,X1: $i] : r2_hidden(np__0,k2_xboole_0(k5_finsub_1(k2_tarski(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_349182,c_331699]) ).
tcf(c_349196,plain,
! [X0: $i] : k5_finsub_1(k2_tarski(X0,X0)) != np__0,
inference(superposition,[status(thm)],[c_349182,c_331682]) ).
tcf(c_349197,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(k2_tarski(X0,X0)))
| ~ v1_xreal_0(np__0)
| ~ v1_xreal_0(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_349182,c_2491]) ).
tcf(c_349198,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(k2_tarski(X0,X0)))
| ~ v4_ordinal2(np__0)
| ~ v4_ordinal2(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_349182,c_2050]) ).
tcf(c_349199,plain,
! [X0: $i] :
( v3_membered(k5_finsub_1(k2_tarski(X0,X0)))
| ~ v4_ordinal2(np__0)
| ~ v4_ordinal2(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_349182,c_2049]) ).
tcf(c_349200,plain,
! [X0: $i] :
( v2_membered(k5_finsub_1(k2_tarski(X0,X0)))
| ~ v4_ordinal2(np__0)
| ~ v4_ordinal2(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_349182,c_2048]) ).
tcf(c_349201,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(k2_tarski(X0,X0)))
| ~ v4_ordinal2(np__0)
| ~ v4_ordinal2(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_349182,c_2047]) ).
tcf(c_349202,plain,
! [X0: $i] : k4_xboole_0(k2_tarski(np__0,np__0),k5_finsub_1(k2_tarski(X0,X0))) = np__0,
inference(superposition,[status(thm)],[c_349182,c_1422]) ).
tcf(c_349203,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(np__0,X1)
| ~ r1_xboole_0(k5_finsub_1(k2_tarski(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_349182,c_1401]) ).
tcf(c_349204,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(k2_tarski(X0,X0)))
| ~ v1_xcmplx_0(np__0)
| ~ v1_xcmplx_0(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_349182,c_1371]) ).
tcf(c_349205,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(X0,X0),X1)
| ~ r1_tarski(k5_finsub_1(k2_tarski(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_349182,c_1413]) ).
tcf(c_349206,plain,
! [X0: $i,X1: $i] :
( r2_hidden(np__0,X1)
| ~ r1_tarski(k5_finsub_1(k2_tarski(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_349182,c_1412]) ).
tcf(c_349207,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k5_finsub_1(k2_tarski(X0,X0)),X1) != np__0,
inference(superposition,[status(thm)],[c_349182,c_1403]) ).
tcf(c_349208,plain,
! [X0: $i] : ~ r2_hidden(k5_finsub_1(k2_tarski(X0,X0)),k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_349182,c_326675]) ).
tcf(c_349209,plain,
! [X0: $i] : ~ r2_hidden(k5_finsub_1(k2_tarski(X0,X0)),np__0),
inference(superposition,[status(thm)],[c_349182,c_326674]) ).
tcf(c_349210,plain,
! [X0: $i] : r1_tarski(k2_tarski(np__0,np__0),k5_finsub_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_349182,c_1425]) ).
tcf(c_349211,plain,
! [X0: $i] : m1_subset_1(np__0,k5_finsub_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_349182,c_325145]) ).
tcf(c_349212,plain,
! [X0: $i] : r2_hidden(np__0,k5_finsub_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_349182,c_1433]) ).
tcf(c_349213,plain,
! [X0: $i] : ~ v1_xboole_0(k5_finsub_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_349182,c_1377]) ).
tcf(c_349214,plain,
! [X0: $i] : v1_finset_1(k5_finsub_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_349182,c_881]) ).
tcf(c_349215,plain,
! [X0: $i,X1: $i] : r2_hidden(k2_tarski(X0,X0),k2_xboole_0(X1,k5_finsub_1(k2_tarski(X0,X0)))),
inference(superposition,[status(thm)],[c_349182,c_331733]) ).
tcf(c_349216,plain,
! [X0: $i,X1: $i] : r2_hidden(np__0,k2_xboole_0(X0,k5_finsub_1(k2_tarski(X1,X1)))),
inference(superposition,[status(thm)],[c_349182,c_331702]) ).
tcf(c_349217,plain,
! [X0: $i,X1: $i] : r2_hidden(k2_tarski(X0,X0),k2_xboole_0(k5_finsub_1(k2_tarski(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_349182,c_331730]) ).
tcf(c_349218,plain,
! [X0: $i] : k4_xboole_0(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,X0)),k5_finsub_1(k2_tarski(X0,X0))) = np__0,
inference(superposition,[status(thm)],[c_349182,c_1382]) ).
tcf(c_349219,plain,
! [X0: $i] : r1_tarski(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,X0)),k5_finsub_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_349182,c_1408]) ).
tcf(c_349220,plain,
! [X0: $i] : m1_subset_1(k2_tarski(X0,X0),k5_finsub_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_349182,c_325146]) ).
tcf(c_349221,plain,
! [X0: $i] : r2_hidden(k2_tarski(X0,X0),k5_finsub_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_349182,c_1434]) ).
tcf(c_349222,plain,
! [X0: $i] : ~ r2_hidden(k5_finsub_1(k2_tarski(X0,X0)),k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_349182,c_326312]) ).
tcf(c_349223,plain,
! [X0: $i] : r1_tarski(k5_finsub_1(np__0),k5_finsub_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_349182,c_325488]) ).
tcf(c_349235,plain,
! [X0: $i] : k4_xboole_0(k5_finsub_1(np__0),k5_finsub_1(k2_tarski(X0,X0))) = np__0,
inference(light_normalisation,[status(thm)],[c_349202,c_919]) ).
tcf(c_349240,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(k2_tarski(X0,X0)))
| ~ v1_xcmplx_0(k2_tarski(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_349204,c_272822]) ).
tcf(c_349255,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(k2_tarski(X0,X0)))
| ~ v1_xreal_0(k2_tarski(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_349197,c_325134]) ).
tcf(c_349258,plain,
! [X0: $i] :
( v2_membered(k5_finsub_1(k2_tarski(X0,X0)))
| ~ v1_xreal_0(k2_tarski(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_349194,c_325134]) ).
tcf(c_349306,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_relat_1(u1_lattices(X0),k1_relat_1(u1_lattices(X0))) = u1_lattices(X0) )
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(superposition,[status(thm)],[c_1508,c_2261]) ).
tcf(c_349307,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k9_relat_1(u1_lattices(X0),np__0) = np__0 )
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(superposition,[status(thm)],[c_1508,c_2363]) ).
tcf(c_349308,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k10_relat_1(u1_lattices(X0),np__0) = np__0 )
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(superposition,[status(thm)],[c_1508,c_2321]) ).
tcf(c_349309,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_relat_1(u1_lattices(X0),np__0) = np__0 )
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(superposition,[status(thm)],[c_1508,c_2249]) ).
tcf(c_349310,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k5_relat_1(u1_lattices(X0),np__0) = np__0 )
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(superposition,[status(thm)],[c_1508,c_1272]) ).
tcf(c_349311,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k5_relat_1(np__0,u1_lattices(X0)) = np__0 )
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(superposition,[status(thm)],[c_1508,c_1271]) ).
tcf(c_349346,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_relat_1(u1_lattices(X0),k1_relat_1(u1_lattices(X0))) = u1_lattices(X0) )
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(superposition,[status(thm)],[c_1513,c_2261]) ).
tcf(c_349347,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k9_relat_1(u1_lattices(X0),np__0) = np__0 )
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(superposition,[status(thm)],[c_1513,c_2363]) ).
tcf(c_349348,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k10_relat_1(u1_lattices(X0),np__0) = np__0 )
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(superposition,[status(thm)],[c_1513,c_2321]) ).
tcf(c_349349,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_relat_1(u1_lattices(X0),np__0) = np__0 )
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(superposition,[status(thm)],[c_1513,c_2249]) ).
tcf(c_349350,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k5_relat_1(u1_lattices(X0),np__0) = np__0 )
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(superposition,[status(thm)],[c_1513,c_1272]) ).
tcf(c_349351,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k5_relat_1(np__0,u1_lattices(X0)) = np__0 )
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(superposition,[status(thm)],[c_1513,c_1271]) ).
tcf(c_349385,plain,
v1_finset_1(k5_finsub_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_919,c_349214]) ).
tcf(c_349386,plain,
v1_finset_1(k5_finsub_1(k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_1820,c_349214]) ).
tcf(c_349387,plain,
! [X0: $i] : k1_card_1(sK204(k5_finsub_1(k2_tarski(X0,X0)))) = k1_card_1(k5_finsub_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_349214,c_835]) ).
tcf(c_349388,plain,
! [X0: $i] : k2_relat_1(sK412(k5_finsub_1(k2_tarski(X0,X0)))) = k5_finsub_1(k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_349214,c_2199]) ).
tcf(c_349389,plain,
! [X0: $i] : k1_zfmisc_1(k5_finsub_1(k2_tarski(X0,X0))) = k5_finsub_1(k5_finsub_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_349214,c_859]) ).
tcf(c_349392,plain,
k1_card_1(sK204(k5_finsub_1(k5_finsub_1(np__0)))) = k1_card_1(k5_finsub_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_349385,c_835]) ).
tcf(c_349393,plain,
k2_relat_1(sK412(k5_finsub_1(k5_finsub_1(np__0)))) = k5_finsub_1(k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_349385,c_2199]) ).
tcf(c_349394,plain,
k1_zfmisc_1(k5_finsub_1(k5_finsub_1(np__0))) = k5_finsub_1(k5_finsub_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_349385,c_859]) ).
tcf(c_349403,plain,
! [X0: $i] :
( ( k4_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),k2_tarski(X0,X0)) = k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)) )
| ~ r2_hidden(X0,sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_802,c_347161]) ).
tcf(c_349404,plain,
! [X0: $i] :
( r1_tarski(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),X0)
| ~ r2_hidden(sK28(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),X0),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_103,c_347161]) ).
tcf(c_349405,plain,
( ( k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r2_hidden(sK41(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_167,c_347161]) ).
tcf(c_349406,plain,
( v1_realset1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(sK72(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_337,c_347161]) ).
tcf(c_349407,plain,
( v1_realset1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(sK73(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_338,c_347161]) ).
tcf(c_349408,plain,
( v1_relat_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(sK115(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346237,c_347161]) ).
tcf(c_349409,plain,
( ( k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r2_hidden(sK118(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_558,c_347161]) ).
tcf(c_349410,plain,
( sP0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| v1_funct_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(sK124(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_569,c_347161]) ).
tcf(c_349411,plain,
( sP0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| v1_relat_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(sK124(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_567,c_347161]) ).
tcf(c_349412,plain,
( v1_relat_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(sK137(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_587,c_347161]) ).
tcf(c_349418,plain,
( v1_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ v1_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(sK354(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_1801,c_347161]) ).
tcf(c_349419,plain,
( v1_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(sK355(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_1803,c_347161]) ).
tcf(c_349420,plain,
( v1_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ v5_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(sK401(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_2039,c_347161]) ).
tcf(c_349421,plain,
( v5_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(sK402(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_2041,c_347161]) ).
tcf(c_349422,plain,
( ( k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r2_hidden(sK432(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_2378,c_347161]) ).
tcf(c_349423,plain,
( ( k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r2_hidden(sK433(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_2380,c_347161]) ).
tcf(c_349424,plain,
( ( k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r2_hidden(sK434(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_2382,c_347161]) ).
tcf(c_349425,plain,
( ( k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r2_hidden(sK435(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_2384,c_347161]) ).
tcf(c_349426,plain,
( ( k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r2_hidden(sK436(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_2386,c_347161]) ).
tcf(c_349427,plain,
( ( k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r2_hidden(sK437(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_2388,c_347161]) ).
tcf(c_349428,plain,
! [X0: $i] :
( r1_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),X0)
| ~ r2_hidden(sK439(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),X0),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_2439,c_347161]) ).
tcf(c_349429,plain,
! [X0: $i] :
( r1_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(sK439(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_2440,c_347161]) ).
tcf(c_349430,plain,
( v1_membered(k3_tarski(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))
| ~ r2_hidden(sK441(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_2459,c_347161]) ).
tcf(c_349433,plain,
( v1_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(sK47(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_329782,c_347161]) ).
tcf(c_349441,plain,
( v1_realset1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(sK47(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_326627,c_347161]) ).
tcf(c_349442,plain,
( v1_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(sK29(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_329379,c_347161]) ).
tcf(c_349443,plain,
~ r2_hidden(sK29(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(forward_subsumption_resolution,[status(thm)],[c_349442,c_1377]) ).
tcf(c_349452,plain,
~ r2_hidden(sK47(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(forward_subsumption_resolution,[status(thm)],[c_349433,c_1377]) ).
tcf(c_349467,plain,
~ r2_hidden(sK437(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(forward_subsumption_resolution,[status(thm)],[c_349427,c_331682]) ).
tcf(c_349468,plain,
~ r2_hidden(sK436(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(forward_subsumption_resolution,[status(thm)],[c_349426,c_331682]) ).
tcf(c_349469,plain,
~ r2_hidden(sK435(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(forward_subsumption_resolution,[status(thm)],[c_349425,c_331682]) ).
tcf(c_349470,plain,
~ r2_hidden(sK434(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(forward_subsumption_resolution,[status(thm)],[c_349424,c_331682]) ).
tcf(c_349471,plain,
~ r2_hidden(sK433(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(forward_subsumption_resolution,[status(thm)],[c_349423,c_331682]) ).
tcf(c_349472,plain,
~ r2_hidden(sK432(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(forward_subsumption_resolution,[status(thm)],[c_349422,c_331682]) ).
tcf(c_349475,plain,
~ r2_hidden(sK118(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(forward_subsumption_resolution,[status(thm)],[c_349409,c_331682]) ).
tcf(c_349476,plain,
~ r2_hidden(sK41(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))),
inference(forward_subsumption_resolution,[status(thm)],[c_349405,c_331682]) ).
tcf(c_349493,plain,
( ~ v5_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(sK401(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_349420,c_1377]) ).
tcf(c_349496,plain,
( ~ v1_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(sK354(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_349418,c_1377]) ).
tcf(c_349563,plain,
r1_tarski(np__0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),
inference(demodulation,[status(thm)],[c_347182,c_30376]) ).
tcf(c_349564,plain,
( v1_membered(np__0)
| ~ v1_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(demodulation,[status(thm)],[c_347187,c_30376]) ).
tcf(c_349565,plain,
( v2_membered(np__0)
| ~ v2_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(demodulation,[status(thm)],[c_347188,c_30376]) ).
tcf(c_349566,plain,
( v1_membered(np__0)
| ~ v2_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(demodulation,[status(thm)],[c_347189,c_30376]) ).
tcf(c_349567,plain,
( v3_membered(np__0)
| ~ v3_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(demodulation,[status(thm)],[c_347190,c_30376]) ).
tcf(c_349568,plain,
( v2_membered(np__0)
| ~ v3_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(demodulation,[status(thm)],[c_347191,c_30376]) ).
tcf(c_349569,plain,
( v1_membered(np__0)
| ~ v3_membered(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(demodulation,[status(thm)],[c_347192,c_30376]) ).
tcf(c_349582,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_tarski(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| m1_subset_1(sK47(sK28(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),sK28(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_328348,c_344365]) ).
tcf(c_349583,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_tarski(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| r2_hidden(sK47(sK28(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),sK28(X1,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326624,c_344365]) ).
tcf(c_349584,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(sK28(X0,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))) ),
inference(superposition,[status(thm)],[c_326591,c_344365]) ).
tcf(c_349585,plain,
! [X0: $i] :
( v3_realset2(X0)
| r1_tarski(k1_zfmisc_1(k7_lopclset(X0)),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326593,c_344365]) ).
tcf(c_349617,plain,
! [X0: $i,X1: $i] :
( m1_relset_1(sK324(X1,X0),X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_1614,c_1060]) ).
tcf(c_349618,plain,
! [X0: $i] :
( v2_funct_1(sK324(np__0,X0))
| ~ m2_relset_1(X0,np__0,np__0)
| ~ v1_funct_1(sK324(np__0,X0)) ),
inference(superposition,[status(thm)],[c_1614,c_1341]) ).
tcf(c_349620,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK324(X1,X0),sK324(X1,sK324(X1,X0)))
| ~ m2_relset_1(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_1614,c_1615]) ).
tcf(c_349621,plain,
! [X0: $i,X1: $i] :
( v8_relat_2(sK324(X1,sK324(X1,X0)))
| ~ m2_relset_1(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_1614,c_1612]) ).
tcf(c_349622,plain,
! [X0: $i,X1: $i] :
( v3_relat_2(sK324(X1,sK324(X1,X0)))
| ~ m2_relset_1(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_1614,c_1611]) ).
tcf(c_349647,plain,
k1_card_1(sK204(k5_finsub_1(k2_finseq_1(np__1)))) = k1_card_1(k5_finsub_1(k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_349386,c_835]) ).
tcf(c_349648,plain,
k2_relat_1(sK412(k5_finsub_1(k2_finseq_1(np__1)))) = k5_finsub_1(k2_finseq_1(np__1)),
inference(superposition,[status(thm)],[c_349386,c_2199]) ).
tcf(c_349649,plain,
k1_zfmisc_1(k5_finsub_1(k2_finseq_1(np__1))) = k5_finsub_1(k5_finsub_1(k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_349386,c_859]) ).
tcf(c_349650,plain,
r2_hidden(np__0,k5_finsub_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_919,c_349212]) ).
tcf(c_349651,plain,
r2_hidden(np__0,k5_finsub_1(k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_1820,c_349212]) ).
tcf(c_349652,plain,
! [X0: $i] :
( v4_ordinal2(np__0)
| ~ v5_membered(k5_finsub_1(k2_tarski(X0,X0))) ),
inference(superposition,[status(thm)],[c_349212,c_2042]) ).
tcf(c_349655,plain,
! [X0: $i] : r2_hidden(sK47(k5_finsub_1(k2_tarski(X0,X0))),k5_finsub_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_349212,c_192]) ).
tcf(c_349660,plain,
( v4_ordinal2(np__0)
| ~ v5_membered(k5_finsub_1(k5_finsub_1(np__0))) ),
inference(superposition,[status(thm)],[c_349650,c_2042]) ).
tcf(c_349662,plain,
~ r2_hidden(k5_finsub_1(k5_finsub_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_349650,c_196]) ).
tcf(c_349665,plain,
m1_subset_1(np__0,k5_finsub_1(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_349650,c_186]) ).
tcf(c_349668,plain,
( v4_ordinal2(np__0)
| ~ v5_membered(k5_finsub_1(k2_finseq_1(np__1))) ),
inference(superposition,[status(thm)],[c_349651,c_2042]) ).
tcf(c_349670,plain,
~ r2_hidden(k5_finsub_1(k2_finseq_1(np__1)),np__0),
inference(superposition,[status(thm)],[c_349651,c_196]) ).
tcf(c_349671,plain,
r2_hidden(sK47(k5_finsub_1(k2_finseq_1(np__1))),k5_finsub_1(k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_349651,c_192]) ).
tcf(c_349672,plain,
~ v1_xboole_0(k5_finsub_1(k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_349651,c_191]) ).
tcf(c_349673,plain,
m1_subset_1(np__0,k5_finsub_1(k2_finseq_1(np__1))),
inference(superposition,[status(thm)],[c_349651,c_186]) ).
tcf(c_349676,plain,
( v1_relat_1(np__0)
| ~ v1_relat_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(demodulation,[status(thm)],[c_347193,c_30376]) ).
tcf(c_349685,plain,
! [X0: $i] :
( r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),k2_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_498,c_347197]) ).
tcf(c_349687,plain,
( r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),np__0)
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_30376,c_347197]) ).
tcf(c_349691,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))
| ~ r1_tarski(X1,sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),X0) ),
inference(superposition,[status(thm)],[c_347197,c_97]) ).
tcf(c_349692,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))
| ~ r2_hidden(X1,sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),X0) ),
inference(superposition,[status(thm)],[c_347197,c_104]) ).
tcf(c_349693,plain,
! [X0: $i] :
( v1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),X0)
| ~ r1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_347197,c_2426]) ).
tcf(c_349694,plain,
! [X0: $i] :
( ( k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))) = np__0 )
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),X0) ),
inference(superposition,[status(thm)],[c_347197,c_817]) ).
tcf(c_349695,plain,
! [X0: $i] :
( ( k2_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))) = k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) )
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),X0) ),
inference(superposition,[status(thm)],[c_347197,c_513]) ).
tcf(c_349696,plain,
! [X0: $i] :
( v1_membered(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),X0)
| ~ v1_membered(k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_347197,c_2460]) ).
tcf(c_349697,plain,
! [X0: $i] :
( v1_finset_1(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),X0)
| ~ v1_finset_1(k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_347197,c_872]) ).
tcf(c_349698,plain,
! [X0: $i] :
( v1_relat_1(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),X0)
| ~ v1_relat_1(k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_347197,c_70]) ).
tcf(c_349699,plain,
! [X0: $i] :
( ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),X0)
| ~ r2_hidden(k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347197,c_69]) ).
tcf(c_349700,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK47(a_2_0_lopclset(sK23,sK24)))
| m1_subset_1(sK25(X0,sK47(a_2_0_lopclset(sK23,sK24))),X0)
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),X1)
| ~ r1_tarski(X0,k4_xboole_0(X1,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_347197,c_97752]) ).
tcf(c_349763,plain,
! [X0: $i] :
( r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),np__0)
| ~ r1_tarski(k2_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0),k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_492,c_347199]) ).
tcf(c_349764,plain,
( r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(np__0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_825,c_347199]) ).
tcf(c_349766,plain,
( r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_347199]) ).
tcf(c_349767,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0))
| ~ r1_tarski(X1,sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347199,c_97]) ).
tcf(c_349768,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0))
| ~ r2_hidden(X1,sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347199,c_104]) ).
tcf(c_349769,plain,
! [X0: $i] :
( v1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0)) ),
inference(superposition,[status(thm)],[c_347199,c_2426]) ).
tcf(c_349770,plain,
! [X0: $i] :
( ( k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0)) = np__0 )
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347199,c_817]) ).
tcf(c_349771,plain,
! [X0: $i] :
( ( k2_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0)) = k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0) )
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347199,c_513]) ).
tcf(c_349772,plain,
! [X0: $i] :
( v1_membered(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v1_membered(k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0))
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347199,c_2460]) ).
tcf(c_349773,plain,
! [X0: $i] :
( v1_finset_1(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v1_finset_1(k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0))
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347199,c_872]) ).
tcf(c_349774,plain,
! [X0: $i] :
( v1_relat_1(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v1_relat_1(k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0))
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347199,c_70]) ).
tcf(c_349775,plain,
! [X0: $i] :
( ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347199,c_69]) ).
tcf(c_349776,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,sK47(a_2_0_lopclset(sK23,sK24)))
| m1_subset_1(sK25(X1,sK47(a_2_0_lopclset(sK23,sK24))),X1)
| ~ r1_tarski(X1,k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0))
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347199,c_97752]) ).
tcf(c_349777,plain,
( ( sK47(a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347199,c_816]) ).
tcf(c_349778,plain,
! [X0: $i] :
( r1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0)
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347199,c_2401]) ).
tcf(c_349779,plain,
! [X0: $i] :
( r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347199,c_2400]) ).
tcf(c_349838,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(X0),np__0)
| r1_tarski(sK25(k1_zfmisc_1(X0),np__0),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(demodulation,[status(thm)],[c_347115,c_30376]) ).
tcf(c_349839,plain,
r1_tarski(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))))),
inference(demodulation,[status(thm)],[c_347185,c_330898]) ).
tcf(c_349840,plain,
! [X0: $i] :
( r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))))
| ~ r1_tarski(X0,k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_349839,c_97]) ).
tcf(c_349841,plain,
! [X0: $i] :
( r2_hidden(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))))
| ~ r2_hidden(X0,k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_349839,c_104]) ).
tcf(c_349842,plain,
( v1_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))))
| ~ r1_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))))) ),
inference(superposition,[status(thm)],[c_349839,c_2426]) ).
tcf(c_349843,plain,
k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))))) = np__0,
inference(superposition,[status(thm)],[c_349839,c_817]) ).
tcf(c_349844,plain,
k2_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))))) = k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))),
inference(superposition,[status(thm)],[c_349839,c_513]) ).
tcf(c_349845,plain,
( v1_membered(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))))
| ~ v1_membered(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))))) ),
inference(superposition,[status(thm)],[c_349839,c_2460]) ).
tcf(c_349846,plain,
( v1_finset_1(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))))
| ~ v1_finset_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))))) ),
inference(superposition,[status(thm)],[c_349839,c_872]) ).
tcf(c_349847,plain,
( v1_relat_1(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))))
| ~ v1_relat_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))))) ),
inference(superposition,[status(thm)],[c_349839,c_70]) ).
tcf(c_349848,plain,
~ r2_hidden(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))),k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24)))),
inference(superposition,[status(thm)],[c_349839,c_69]) ).
tcf(c_349849,plain,
! [X0: $i] :
( r1_tarski(X0,k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))))
| m1_subset_1(sK25(X0,k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24)))),X0)
| ~ r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))))) ),
inference(superposition,[status(thm)],[c_349839,c_97752]) ).
tcf(c_349850,plain,
r1_tarski(k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(np__0)),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))),
inference(superposition,[status(thm)],[c_349839,c_495]) ).
tcf(c_349861,plain,
~ r1_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))))),
inference(forward_subsumption_resolution,[status(thm)],[c_349842,c_213]) ).
tcf(c_349865,plain,
k2_xboole_0(k5_finsub_1(np__0),k2_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))))) = k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))),
inference(theory_normalisation,[status(thm)],[c_349844,c_521,c_524]) ).
tcf(c_349876,plain,
! [X0: $i] :
( v3_realset2(X0)
| m1_subset_1(sK47(k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_328348,c_344366]) ).
tcf(c_349877,plain,
! [X0: $i] :
( v3_realset2(X0)
| r2_hidden(sK47(k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326624,c_344366]) ).
tcf(c_349878,plain,
! [X0: $i] :
( v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))) ),
inference(superposition,[status(thm)],[c_326591,c_344366]) ).
tcf(c_349887,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ( X0 = np__0 )
| ~ v4_ordinal2(X0)
| ~ v1_membered(k2_finseq_1(X0)) ),
inference(superposition,[status(thm)],[c_2019,c_1804]) ).
tcf(c_349888,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v4_ordinal2(X0)
| ~ r2_hidden(k2_finseq_1(X0),X0) ),
inference(superposition,[status(thm)],[c_2019,c_196]) ).
tcf(c_349889,plain,
! [X0: $i] :
( r2_hidden(sK47(k2_finseq_1(X0)),k2_finseq_1(X0))
| ( X0 = np__0 )
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2019,c_192]) ).
tcf(c_349890,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v4_ordinal2(X0)
| ~ v1_xboole_0(k2_finseq_1(X0)) ),
inference(superposition,[status(thm)],[c_2019,c_191]) ).
tcf(c_349891,plain,
! [X0: $i] :
( m1_subset_1(X0,k2_finseq_1(X0))
| ( X0 = np__0 )
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2019,c_186]) ).
tcf(c_349892,plain,
( ( np__0 = k1_numbers )
| ~ v4_ordinal2(k1_numbers)
| ~ v1_xreal_0(k2_finseq_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_2019,c_326676]) ).
tcf(c_349994,plain,
! [X0: $i] :
( ( k1_card_1(sK407(X0)) = sK407(X0) )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2082,c_1297]) ).
tcf(c_349995,plain,
! [X0: $i] :
( r2_wellord2(k2_finseq_1(sK407(X0)),sK407(X0))
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2082,c_2061]) ).
tcf(c_349996,plain,
! [X0: $i] :
( v1_finset_1(sK407(X0))
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2082,c_849]) ).
tcf(c_350008,plain,
k4_xboole_0(k1_card_1(sK413),k2_tarski(k1_card_1(k5_finsub_1(sK413)),k1_card_1(k5_finsub_1(sK413)))) = k1_card_1(sK413),
inference(superposition,[status(thm)],[c_802,c_333101]) ).
tcf(c_350009,plain,
! [X0: $i] : m1_subset_1(sK47(k2_xboole_0(k5_finsub_1(sK413),X0)),k2_xboole_0(k5_finsub_1(sK413),X0)),
inference(superposition,[status(thm)],[c_328348,c_333108]) ).
tcf(c_350010,plain,
! [X0: $i] : r2_hidden(sK47(k2_xboole_0(k5_finsub_1(sK413),X0)),k2_xboole_0(k5_finsub_1(sK413),X0)),
inference(superposition,[status(thm)],[c_326624,c_333108]) ).
tcf(c_350019,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(X0),np__0)
| r1_tarski(sK25(k1_zfmisc_1(X0),np__0),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(demodulation,[status(thm)],[c_347241,c_30376]) ).
tcf(c_350020,plain,
m1_subset_1(sK47(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),
inference(superposition,[status(thm)],[c_328348,c_347114]) ).
tcf(c_350021,plain,
r2_hidden(sK47(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),
inference(superposition,[status(thm)],[c_326624,c_347114]) ).
tcf(c_350022,plain,
~ v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),
inference(superposition,[status(thm)],[c_326591,c_347114]) ).
tcf(c_350028,plain,
! [X0: $i] :
( r1_tarski(sK24,np__0)
| ~ v1_xboole_0(k2_xboole_0(sK24,X0)) ),
inference(superposition,[status(thm)],[c_492,c_348623]) ).
tcf(c_350029,plain,
( r1_tarski(sK24,sK24)
| ~ v1_xboole_0(np__0) ),
inference(superposition,[status(thm)],[c_825,c_348623]) ).
tcf(c_350030,plain,
( r1_tarski(sK24,np__0)
| ~ v1_xboole_0(sK24) ),
inference(superposition,[status(thm)],[c_30376,c_348623]) ).
tcf(c_350031,plain,
( r1_tarski(sK24,sK24)
| ~ v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346611,c_348623]) ).
tcf(c_350032,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k4_xboole_0(sK24,X1))
| ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,sK24) ),
inference(superposition,[status(thm)],[c_348623,c_97]) ).
tcf(c_350033,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k4_xboole_0(sK24,X1))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,sK24) ),
inference(superposition,[status(thm)],[c_348623,c_104]) ).
tcf(c_350034,plain,
! [X0: $i] :
( v1_xboole_0(sK24)
| ~ v1_xboole_0(X0)
| ~ r1_xboole_0(sK24,k4_xboole_0(sK24,X0)) ),
inference(superposition,[status(thm)],[c_348623,c_2426]) ).
tcf(c_350035,plain,
! [X0: $i] :
( ( k4_xboole_0(sK24,k4_xboole_0(sK24,X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_348623,c_817]) ).
tcf(c_350036,plain,
! [X0: $i] :
( ( k2_xboole_0(sK24,k4_xboole_0(sK24,X0)) = k4_xboole_0(sK24,X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_348623,c_513]) ).
tcf(c_350037,plain,
! [X0: $i] :
( v1_membered(sK24)
| ~ v1_xboole_0(X0)
| ~ v1_membered(k4_xboole_0(sK24,X0)) ),
inference(superposition,[status(thm)],[c_348623,c_2460]) ).
tcf(c_350038,plain,
! [X0: $i] :
( v1_finset_1(sK24)
| ~ v1_xboole_0(X0)
| ~ v1_finset_1(k4_xboole_0(sK24,X0)) ),
inference(superposition,[status(thm)],[c_348623,c_872]) ).
tcf(c_350039,plain,
! [X0: $i] :
( v1_relat_1(sK24)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(k4_xboole_0(sK24,X0)) ),
inference(superposition,[status(thm)],[c_348623,c_70]) ).
tcf(c_350040,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(k4_xboole_0(sK24,X0),sK24) ),
inference(superposition,[status(thm)],[c_348623,c_69]) ).
tcf(c_350041,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK24)
| m1_subset_1(sK25(X0,sK24),X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,k4_xboole_0(sK24,X1)) ),
inference(superposition,[status(thm)],[c_348623,c_97752]) ).
tcf(c_350042,plain,
( ( sK24 = np__0 )
| ~ v1_xboole_0(sK24) ),
inference(superposition,[status(thm)],[c_348623,c_816]) ).
tcf(c_350043,plain,
! [X0: $i] :
( r1_xboole_0(sK24,X0)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_348623,c_2401]) ).
tcf(c_350044,plain,
! [X0: $i] :
( r1_tarski(sK24,sK24)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_348623,c_2400]) ).
tcf(c_350086,plain,
! [X0: $i] : k4_xboole_0(k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0),sK24) = k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0),
inference(superposition,[status(thm)],[c_347853,c_2410]) ).
tcf(c_350087,plain,
! [X0: $i] : r1_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)),
inference(superposition,[status(thm)],[c_347853,c_2434]) ).
tcf(c_350088,plain,
k4_xboole_0(sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) = sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),
inference(superposition,[status(thm)],[c_347862,c_2410]) ).
tcf(c_350089,plain,
r1_xboole_0(sK24,sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),
inference(superposition,[status(thm)],[c_347862,c_2434]) ).
tcf(c_350094,plain,
( r1_tarski(np__0,np__0)
| r1_xboole_0(k5_finsub_1(np__0),sK24) ),
inference(superposition,[status(thm)],[c_327546,c_347864]) ).
tcf(c_350095,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_xboole_0(k5_finsub_1(X1),sK24)
| ~ r1_tarski(X0,sK47(k5_finsub_1(X1))) ),
inference(superposition,[status(thm)],[c_347864,c_97]) ).
tcf(c_350096,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| r1_xboole_0(k5_finsub_1(X1),sK24)
| ~ r2_hidden(X0,sK47(k5_finsub_1(X1))) ),
inference(superposition,[status(thm)],[c_347864,c_104]) ).
tcf(c_350097,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(X0),sK24)
| v1_xboole_0(sK47(k5_finsub_1(X0)))
| ~ r1_xboole_0(sK47(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_347864,c_2426]) ).
tcf(c_350098,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(X0),sK24)
| ( k4_xboole_0(sK47(k5_finsub_1(X0)),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_347864,c_817]) ).
tcf(c_350099,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(X0),sK24)
| ( k2_xboole_0(sK47(k5_finsub_1(X0)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_347864,c_513]) ).
tcf(c_350100,plain,
! [X0: $i] :
( v1_membered(sK47(k5_finsub_1(X0)))
| r1_xboole_0(k5_finsub_1(X0),sK24)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_347864,c_2460]) ).
tcf(c_350101,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(X0),sK24)
| v1_finset_1(sK47(k5_finsub_1(X0)))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_347864,c_872]) ).
tcf(c_350102,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(X0),sK24)
| v1_relat_1(sK47(k5_finsub_1(X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_347864,c_70]) ).
tcf(c_350103,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(X0),sK24)
| ~ r2_hidden(X0,sK47(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_347864,c_69]) ).
tcf(c_350104,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(X1),sK24)
| r1_tarski(X0,sK47(k5_finsub_1(X1)))
| m1_subset_1(sK25(X0,sK47(k5_finsub_1(X1))),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_347864,c_97752]) ).
tcf(c_350105,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(np__0),sK24)
| r1_tarski(sK47(k5_finsub_1(np__0)),X0) ),
inference(superposition,[status(thm)],[c_347864,c_330496]) ).
tcf(c_350107,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(k2_zfmisc_1(X0,X1)),sK24)
| m1_relset_1(sK47(k5_finsub_1(k2_zfmisc_1(X0,X1))),X0,X1) ),
inference(superposition,[status(thm)],[c_347864,c_1062]) ).
tcf(c_350108,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(k2_xboole_0(X0,X1)),sK24)
| r1_tarski(k4_xboole_0(sK47(k5_finsub_1(k2_xboole_0(X0,X1))),X0),X1) ),
inference(superposition,[status(thm)],[c_347864,c_495]) ).
tcf(c_350109,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(k4_xboole_0(X0,X1)),sK24)
| r1_xboole_0(sK47(k5_finsub_1(k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_347864,c_2401]) ).
tcf(c_350110,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(k4_xboole_0(X0,X1)),sK24)
| r1_tarski(sK47(k5_finsub_1(k4_xboole_0(X0,X1))),X0) ),
inference(superposition,[status(thm)],[c_347864,c_2400]) ).
tcf(c_350111,plain,
( v1_membered(sK47(k5_finsub_1(k1_numbers)))
| r1_xboole_0(k5_finsub_1(k1_numbers),sK24) ),
inference(superposition,[status(thm)],[c_347864,c_326348]) ).
tcf(c_350112,plain,
( v2_membered(sK47(k5_finsub_1(k1_numbers)))
| r1_xboole_0(k5_finsub_1(k1_numbers),sK24) ),
inference(superposition,[status(thm)],[c_347864,c_326347]) ).
tcf(c_350113,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),sK24)
| r1_tarski(sK47(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK47(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK47(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))))) ),
inference(superposition,[status(thm)],[c_347864,c_323864]) ).
tcf(c_350114,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| r1_xboole_0(k5_finsub_1(k7_lopclset(X1)),sK24)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,sK47(k5_finsub_1(k7_lopclset(X1)))) ),
inference(superposition,[status(thm)],[c_347864,c_344348]) ).
tcf(c_350115,plain,
( r1_xboole_0(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24)
| r1_tarski(sK24,k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_347864,c_347073]) ).
tcf(c_350116,plain,
( r1_xboole_0(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24)
| r1_xboole_0(sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) ),
inference(superposition,[status(thm)],[c_347864,c_347074]) ).
tcf(c_350117,plain,
( r1_xboole_0(k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK24)
| r1_xboole_0(sK47(k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347864,c_347200]) ).
tcf(c_350122,plain,
! [X0: $i] :
( r1_tarski(np__0,X0)
| r1_xboole_0(k5_finsub_1(np__0),sK24) ),
inference(light_normalisation,[status(thm)],[c_350105,c_327546]) ).
tcf(c_350134,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(X0),sK24)
| ( k2_xboole_0(X0,sK47(k5_finsub_1(X0))) = X0 ) ),
inference(theory_normalisation,[status(thm)],[c_350099,c_521,c_524]) ).
tcf(c_350212,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| m1_subset_1(sK47(k1_zfmisc_1(k2_xboole_0(X1,k1_zfmisc_1(u1_struct_0(X0))))),k1_zfmisc_1(k2_xboole_0(X1,k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_328348,c_344367]) ).
tcf(c_350213,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r2_hidden(sK47(k1_zfmisc_1(k2_xboole_0(X1,k1_zfmisc_1(u1_struct_0(X0))))),k1_zfmisc_1(k2_xboole_0(X1,k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326624,c_344367]) ).
tcf(c_350214,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(k1_zfmisc_1(k2_xboole_0(X0,k1_zfmisc_1(u1_struct_0(X1))))) ),
inference(superposition,[status(thm)],[c_326591,c_344367]) ).
tcf(c_350217,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(k1_zfmisc_1(u1_struct_0(X0)),X1)),k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_524,c_344367]) ).
tcf(c_350236,plain,
! [X0: $i,X1: $i] :
( ~ v1_int_1(X0)
| ~ m1_subset_1(X1,k5_numbers)
| ~ v2_xreal_0(k6_xcmplx_0(X0,X1))
| ~ v3_xreal_0(k6_xcmplx_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2098,c_2171]) ).
tcf(c_350237,plain,
! [X0: $i,X1: $i] :
( v2_xreal_0(k6_xcmplx_0(X1,X0))
| v3_xreal_0(k6_xcmplx_0(X1,X0))
| v1_xboole_0(k6_xcmplx_0(X1,X0))
| ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_2098,c_2168]) ).
tcf(c_350265,plain,
! [X0: $i] :
( v1_finset_1(sK39(X0))
| ( X0 = np__0 )
| ~ v1_finseq_1(sK39(X0))
| ~ v1_relat_1(sK39(X0)) ),
inference(superposition,[status(thm)],[c_150,c_2217]) ).
tcf(c_350266,plain,
! [X0: $i] :
( v1_finset_1(sK38(X0))
| ( X0 = np__0 )
| ~ v1_finseq_1(sK38(X0))
| ~ v1_relat_1(sK38(X0)) ),
inference(superposition,[status(thm)],[c_152,c_2217]) ).
tcf(c_350267,plain,
( v1_finset_1(sK44)
| ~ v1_finseq_1(sK44)
| ~ v1_relat_1(sK44) ),
inference(superposition,[status(thm)],[c_175,c_2217]) ).
tcf(c_350268,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(sK56(X0,X1))
| ~ r1_tarski(X1,X0)
| ~ v1_finseq_1(sK56(X0,X1))
| ~ v1_relat_1(sK56(X0,X1)) ),
inference(superposition,[status(thm)],[c_93079,c_2217]) ).
tcf(c_350269,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(sK58(X0,X1))
| ( X0 = np__0 )
| ~ v1_finseq_1(sK58(X0,X1))
| ~ v1_relat_1(sK58(X0,X1)) ),
inference(superposition,[status(thm)],[c_245,c_2217]) ).
tcf(c_350270,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(sK89(X0,X1))
| ( X0 = np__0 )
| ~ v1_finseq_1(sK89(X0,X1))
| ~ v1_relat_1(sK89(X0,X1)) ),
inference(superposition,[status(thm)],[c_408,c_2217]) ).
tcf(c_350271,plain,
! [X0: $i] :
( v1_finset_1(u1_group_1(X0))
| ~ l1_group_1(X0)
| ~ v1_finseq_1(u1_group_1(X0))
| ~ v1_relat_1(u1_group_1(X0)) ),
inference(superposition,[status(thm)],[c_674,c_2217]) ).
tcf(c_350272,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(sK201(X0,X1))
| ~ m1_subset_1(X1,X0)
| ~ v1_finseq_1(sK201(X0,X1))
| ~ v1_relat_1(sK201(X0,X1)) ),
inference(superposition,[status(thm)],[c_782,c_2217]) ).
tcf(c_350274,plain,
! [X0: $i] :
( v1_finset_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v1_finseq_1(u2_lattices(X0))
| ~ v1_relat_1(u2_lattices(X0)) ),
inference(superposition,[status(thm)],[c_973,c_2217]) ).
tcf(c_350275,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(sK237(X0,X1))
| ~ v1_finseq_1(sK237(X0,X1))
| ~ v1_relat_1(sK237(X0,X1)) ),
inference(superposition,[status(thm)],[c_1054,c_2217]) ).
tcf(c_350276,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(sK238(X0,X1))
| ~ v1_finseq_1(sK238(X0,X1))
| ~ v1_relat_1(sK238(X0,X1)) ),
inference(superposition,[status(thm)],[c_1058,c_2217]) ).
tcf(c_350279,plain,
( v1_finset_1(sK293)
| ~ v1_finseq_1(sK293)
| ~ v1_relat_1(sK293) ),
inference(superposition,[status(thm)],[c_1366,c_2217]) ).
tcf(c_350280,plain,
! [X0: $i] :
( v1_finset_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v1_finseq_1(u1_lattices(X0))
| ~ v1_relat_1(u1_lattices(X0)) ),
inference(superposition,[status(thm)],[c_1518,c_2217]) ).
tcf(c_350283,plain,
! [X0: $i] :
( v1_finset_1(sK412(X0))
| ~ v1_finset_1(X0)
| ~ v1_finseq_1(sK412(X0))
| ~ v1_relat_1(sK412(X0)) ),
inference(superposition,[status(thm)],[c_2197,c_2217]) ).
tcf(c_350286,plain,
( v1_finset_1(sK415)
| ~ v1_finseq_1(sK415)
| ~ v1_relat_1(sK415) ),
inference(superposition,[status(thm)],[c_2219,c_2217]) ).
tcf(c_350287,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_finseq_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(k7_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_2239,c_2217]) ).
tcf(c_350288,plain,
( v1_finset_1(u1_rlvect_1(sK362))
| ~ v1_finseq_1(u1_rlvect_1(sK362))
| ~ v1_relat_1(u1_rlvect_1(sK362)) ),
inference(superposition,[status(thm)],[c_78792,c_2217]) ).
tcf(c_350292,plain,
! [X0: $i] :
( v1_finset_1(sK272(X0,X0))
| ~ v1_finseq_1(sK272(X0,X0))
| ~ v1_relat_1(sK272(X0,X0)) ),
inference(superposition,[status(thm)],[c_339508,c_2217]) ).
tcf(c_350293,plain,
! [X0: $i] :
( v1_finset_1(sK272(np__0,X0))
| ~ v1_finseq_1(sK272(np__0,X0))
| ~ v1_relat_1(sK272(np__0,X0)) ),
inference(superposition,[status(thm)],[c_339518,c_2217]) ).
tcf(c_350294,plain,
! [X0: $i] :
( v1_finset_1(sK273(X0,X0))
| ~ v1_finseq_1(sK273(X0,X0))
| ~ v1_relat_1(sK273(X0,X0)) ),
inference(superposition,[status(thm)],[c_339564,c_2217]) ).
tcf(c_350295,plain,
! [X0: $i] :
( v1_finset_1(sK273(np__0,X0))
| ~ v1_finseq_1(sK273(np__0,X0))
| ~ v1_relat_1(sK273(np__0,X0)) ),
inference(superposition,[status(thm)],[c_339574,c_2217]) ).
tcf(c_350296,plain,
v1_finset_1(sK415),
inference(forward_subsumption_resolution,[status(thm)],[c_350286,c_2220,c_2218]) ).
tcf(c_350297,plain,
( v1_finset_1(sK293)
| ~ v1_finseq_1(sK293) ),
inference(forward_subsumption_resolution,[status(thm)],[c_350279,c_1365]) ).
tcf(c_350300,plain,
( v1_finset_1(sK44)
| ~ v1_finseq_1(sK44) ),
inference(forward_subsumption_resolution,[status(thm)],[c_350267,c_174]) ).
tcf(c_350314,plain,
! [X0: $i] :
( v1_finset_1(sK273(np__0,X0))
| ~ v1_finseq_1(sK273(np__0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_350295,c_339548]) ).
tcf(c_350317,plain,
! [X0: $i] :
( v1_finset_1(sK273(X0,X0))
| ~ v1_finseq_1(sK273(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_350294,c_339538]) ).
tcf(c_350320,plain,
! [X0: $i] :
( v1_finset_1(sK272(np__0,X0))
| ~ v1_finseq_1(sK272(np__0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_350293,c_339495]) ).
tcf(c_350323,plain,
! [X0: $i] :
( v1_finset_1(sK272(X0,X0))
| ~ v1_finseq_1(sK272(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_350292,c_339485]) ).
tcf(c_350334,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(sK238(X0,X1))
| ~ v1_finseq_1(sK238(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_350276,c_1057]) ).
tcf(c_350337,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(sK237(X0,X1))
| ~ v1_finseq_1(sK237(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_350275,c_1053]) ).
tcf(c_350433,plain,
k1_card_1(sK204(sK415)) = k1_card_1(sK415),
inference(superposition,[status(thm)],[c_350296,c_835]) ).
tcf(c_350434,plain,
k2_relat_1(sK412(sK415)) = sK415,
inference(superposition,[status(thm)],[c_350296,c_2199]) ).
tcf(c_350435,plain,
k1_zfmisc_1(sK415) = k5_finsub_1(sK415),
inference(superposition,[status(thm)],[c_350296,c_859]) ).
tcf(c_350445,plain,
r1_xboole_0(sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24),
inference(demodulation,[status(thm)],[c_347876,c_330898]) ).
tcf(c_350446,plain,
k4_xboole_0(sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) = sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),
inference(superposition,[status(thm)],[c_350445,c_2410]) ).
tcf(c_350447,plain,
r1_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),
inference(superposition,[status(thm)],[c_350445,c_2434]) ).
tcf(c_350452,plain,
( m1_subset_1(np__0,k5_finsub_1(np__0))
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(np__0))) ),
inference(superposition,[status(thm)],[c_327546,c_348621]) ).
tcf(c_350453,plain,
! [X0: $i] :
( r1_tarski(sK24,np__0)
| m1_subset_1(sK47(k2_xboole_0(sK24,X0)),k2_xboole_0(sK24,X0)) ),
inference(superposition,[status(thm)],[c_492,c_348621]) ).
tcf(c_350454,plain,
( r1_tarski(sK24,sK24)
| m1_subset_1(sK47(np__0),np__0) ),
inference(superposition,[status(thm)],[c_825,c_348621]) ).
tcf(c_350455,plain,
( r1_tarski(sK24,np__0)
| m1_subset_1(sK47(sK24),sK24) ),
inference(superposition,[status(thm)],[c_30376,c_348621]) ).
tcf(c_350458,plain,
! [X0: $i] :
( v1_xcmplx_0(sK47(X0))
| r1_tarski(sK24,k4_xboole_0(sK24,X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_348621,c_1808]) ).
tcf(c_350459,plain,
! [X0: $i] :
( v1_xreal_0(sK47(X0))
| r1_tarski(sK24,k4_xboole_0(sK24,X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_348621,c_1807]) ).
tcf(c_350460,plain,
! [X0: $i] :
( v1_xcmplx_0(sK47(X0))
| r1_tarski(sK24,k4_xboole_0(sK24,X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_348621,c_1806]) ).
tcf(c_350464,plain,
! [X0: $i] :
( v1_finset_1(sK47(k5_finsub_1(X0)))
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_348621,c_860]) ).
tcf(c_350474,plain,
( v1_relat_1(sK47(k5_finsub_1(np__0)))
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(np__0))) ),
inference(superposition,[status(thm)],[c_348621,c_329824]) ).
tcf(c_350475,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK47(X1),X1)
| r1_tarski(X0,k4_xboole_0(sK24,X1))
| ~ r1_tarski(X0,sK24) ),
inference(superposition,[status(thm)],[c_348621,c_97]) ).
tcf(c_350476,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK47(X1),X1)
| r2_hidden(X0,k4_xboole_0(sK24,X1))
| ~ r2_hidden(X0,sK24) ),
inference(superposition,[status(thm)],[c_348621,c_104]) ).
tcf(c_350477,plain,
! [X0: $i] :
( v1_xboole_0(sK24)
| m1_subset_1(sK47(X0),X0)
| ~ r1_xboole_0(sK24,k4_xboole_0(sK24,X0)) ),
inference(superposition,[status(thm)],[c_348621,c_2426]) ).
tcf(c_350478,plain,
! [X0: $i] :
( m1_subset_1(sK47(X0),X0)
| ( k4_xboole_0(sK24,k4_xboole_0(sK24,X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_348621,c_817]) ).
tcf(c_350479,plain,
! [X0: $i] :
( m1_subset_1(sK47(X0),X0)
| ( k2_xboole_0(sK24,k4_xboole_0(sK24,X0)) = k4_xboole_0(sK24,X0) ) ),
inference(superposition,[status(thm)],[c_348621,c_513]) ).
tcf(c_350480,plain,
! [X0: $i] :
( v1_membered(sK24)
| m1_subset_1(sK47(X0),X0)
| ~ v1_membered(k4_xboole_0(sK24,X0)) ),
inference(superposition,[status(thm)],[c_348621,c_2460]) ).
tcf(c_350481,plain,
! [X0: $i] :
( v1_finset_1(sK24)
| m1_subset_1(sK47(X0),X0)
| ~ v1_finset_1(k4_xboole_0(sK24,X0)) ),
inference(superposition,[status(thm)],[c_348621,c_872]) ).
tcf(c_350482,plain,
! [X0: $i] :
( v1_relat_1(sK24)
| m1_subset_1(sK47(X0),X0)
| ~ v1_relat_1(k4_xboole_0(sK24,X0)) ),
inference(superposition,[status(thm)],[c_348621,c_70]) ).
tcf(c_350483,plain,
! [X0: $i] :
( m1_subset_1(sK47(X0),X0)
| ~ r2_hidden(k4_xboole_0(sK24,X0),sK24) ),
inference(superposition,[status(thm)],[c_348621,c_69]) ).
tcf(c_350484,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK24)
| m1_subset_1(sK47(X1),X1)
| m1_subset_1(sK25(X0,sK24),X0)
| ~ r1_tarski(X0,k4_xboole_0(sK24,X1)) ),
inference(superposition,[status(thm)],[c_348621,c_97752]) ).
tcf(c_350485,plain,
( m1_subset_1(sK47(sK24),sK24)
| ( sK24 = np__0 ) ),
inference(superposition,[status(thm)],[c_348621,c_816]) ).
tcf(c_350486,plain,
! [X0: $i] :
( r1_xboole_0(sK24,X0)
| m1_subset_1(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_348621,c_2401]) ).
tcf(c_350487,plain,
! [X0: $i] :
( r1_tarski(sK24,sK24)
| m1_subset_1(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_348621,c_2400]) ).
tcf(c_350496,plain,
( v1_relat_1(np__0)
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(np__0))) ),
inference(light_normalisation,[status(thm)],[c_350474,c_327546]) ).
tcf(c_350541,plain,
! [X0: $i] :
( r1_tarski(sK24,np__0)
| r2_hidden(sK47(k2_xboole_0(sK24,X0)),k2_xboole_0(sK24,X0)) ),
inference(superposition,[status(thm)],[c_492,c_348622]) ).
tcf(c_350542,plain,
( r1_tarski(sK24,sK24)
| r2_hidden(sK47(np__0),np__0) ),
inference(superposition,[status(thm)],[c_825,c_348622]) ).
tcf(c_350543,plain,
( r1_tarski(sK24,np__0)
| r2_hidden(sK47(sK24),sK24) ),
inference(superposition,[status(thm)],[c_30376,c_348622]) ).
tcf(c_350545,plain,
! [X0: $i] :
( v4_ordinal2(sK47(X0))
| r1_tarski(sK24,k4_xboole_0(sK24,X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_348622,c_2042]) ).
tcf(c_350547,plain,
! [X0: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,X0))
| ~ r2_hidden(X0,sK47(X0)) ),
inference(superposition,[status(thm)],[c_348622,c_196]) ).
tcf(c_350554,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,k4_xboole_0(X0,X1)))
| ~ r2_hidden(sK47(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_348622,c_831]) ).
tcf(c_350555,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK47(k4_xboole_0(X0,X1)),X0)
| r1_tarski(sK24,k4_xboole_0(sK24,k4_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_348622,c_830]) ).
tcf(c_350556,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK47(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1)
| r1_tarski(sK24,k4_xboole_0(sK24,k4_xboole_0(X0,k4_xboole_0(X0,X1)))) ),
inference(superposition,[status(thm)],[c_348622,c_955]) ).
tcf(c_350560,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK47(X1),X1)
| r1_tarski(X0,k4_xboole_0(sK24,X1))
| ~ r1_tarski(X0,sK24) ),
inference(superposition,[status(thm)],[c_348622,c_97]) ).
tcf(c_350561,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK47(X1),X1)
| r2_hidden(X0,k4_xboole_0(sK24,X1))
| ~ r2_hidden(X0,sK24) ),
inference(superposition,[status(thm)],[c_348622,c_104]) ).
tcf(c_350562,plain,
! [X0: $i] :
( v1_xboole_0(sK24)
| r2_hidden(sK47(X0),X0)
| ~ r1_xboole_0(sK24,k4_xboole_0(sK24,X0)) ),
inference(superposition,[status(thm)],[c_348622,c_2426]) ).
tcf(c_350563,plain,
! [X0: $i] :
( r2_hidden(sK47(X0),X0)
| ( k4_xboole_0(sK24,k4_xboole_0(sK24,X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_348622,c_817]) ).
tcf(c_350564,plain,
! [X0: $i] :
( r2_hidden(sK47(X0),X0)
| ( k2_xboole_0(sK24,k4_xboole_0(sK24,X0)) = k4_xboole_0(sK24,X0) ) ),
inference(superposition,[status(thm)],[c_348622,c_513]) ).
tcf(c_350565,plain,
! [X0: $i] :
( v1_membered(sK24)
| r2_hidden(sK47(X0),X0)
| ~ v1_membered(k4_xboole_0(sK24,X0)) ),
inference(superposition,[status(thm)],[c_348622,c_2460]) ).
tcf(c_350566,plain,
! [X0: $i] :
( v1_finset_1(sK24)
| r2_hidden(sK47(X0),X0)
| ~ v1_finset_1(k4_xboole_0(sK24,X0)) ),
inference(superposition,[status(thm)],[c_348622,c_872]) ).
tcf(c_350567,plain,
! [X0: $i] :
( v1_relat_1(sK24)
| r2_hidden(sK47(X0),X0)
| ~ v1_relat_1(k4_xboole_0(sK24,X0)) ),
inference(superposition,[status(thm)],[c_348622,c_70]) ).
tcf(c_350568,plain,
! [X0: $i] :
( r2_hidden(sK47(X0),X0)
| ~ r2_hidden(k4_xboole_0(sK24,X0),sK24) ),
inference(superposition,[status(thm)],[c_348622,c_69]) ).
tcf(c_350569,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK24)
| r2_hidden(sK47(X1),X1)
| m1_subset_1(sK25(X0,sK24),X0)
| ~ r1_tarski(X0,k4_xboole_0(sK24,X1)) ),
inference(superposition,[status(thm)],[c_348622,c_97752]) ).
tcf(c_350570,plain,
( r2_hidden(sK47(sK24),sK24)
| ( sK24 = np__0 ) ),
inference(superposition,[status(thm)],[c_348622,c_816]) ).
tcf(c_350571,plain,
! [X0: $i] :
( r1_xboole_0(sK24,X0)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_348622,c_2401]) ).
tcf(c_350572,plain,
! [X0: $i] :
( r1_tarski(sK24,sK24)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_348622,c_2400]) ).
tcf(c_350649,plain,
( r1_tarski(np__0,k10_relat_1(np__0,k2_relat_1(np__0)))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_2320,c_2322]) ).
tcf(c_350650,plain,
( r1_tarski(np__0,k10_relat_1(sK44,k2_relat_1(sK44)))
| ~ v1_relat_1(sK44) ),
inference(superposition,[status(thm)],[c_334316,c_2322]) ).
tcf(c_350651,plain,
( r1_tarski(np__0,k10_relat_1(sK45,k2_relat_1(sK45)))
| ~ v1_relat_1(sK45) ),
inference(superposition,[status(thm)],[c_334317,c_2322]) ).
tcf(c_350652,plain,
( r1_tarski(np__0,k10_relat_1(sK205,k2_relat_1(sK205)))
| ~ v1_relat_1(sK205) ),
inference(superposition,[status(thm)],[c_334324,c_2322]) ).
tcf(c_350653,plain,
( r1_tarski(np__0,k10_relat_1(sK293,k2_relat_1(sK293)))
| ~ v1_relat_1(sK293) ),
inference(superposition,[status(thm)],[c_334330,c_2322]) ).
tcf(c_350654,plain,
( r1_tarski(np__0,k10_relat_1(sK413,k2_relat_1(sK413)))
| ~ v1_relat_1(sK413) ),
inference(superposition,[status(thm)],[c_334332,c_2322]) ).
tcf(c_350655,plain,
( r1_tarski(np__0,k10_relat_1(sK415,k2_relat_1(sK415)))
| ~ v1_relat_1(sK415) ),
inference(superposition,[status(thm)],[c_334334,c_2322]) ).
tcf(c_350657,plain,
! [X0: $i] :
( r1_tarski(k10_relat_1(np__0,X0),k10_relat_1(np__0,np__0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_539,c_2322]) ).
tcf(c_350658,plain,
! [X0: $i] :
( r1_tarski(k10_relat_1(sK412(np__0),X0),k10_relat_1(sK412(np__0),np__0))
| ~ v1_relat_1(sK412(np__0)) ),
inference(superposition,[status(thm)],[c_334048,c_2322]) ).
tcf(c_350659,plain,
! [X0: $i] :
( r1_tarski(k10_relat_1(sK412(sK205),X0),k10_relat_1(sK412(sK205),sK205))
| ~ v1_relat_1(sK412(sK205)) ),
inference(superposition,[status(thm)],[c_334038,c_2322]) ).
tcf(c_350660,plain,
! [X0: $i] :
( r1_tarski(k10_relat_1(sK412(sK212),X0),k10_relat_1(sK412(sK212),sK212))
| ~ v1_relat_1(sK412(sK212)) ),
inference(superposition,[status(thm)],[c_334045,c_2322]) ).
tcf(c_350661,plain,
! [X0: $i] :
( r1_tarski(k10_relat_1(sK412(sK413),X0),k10_relat_1(sK412(sK413),sK413))
| ~ v1_relat_1(sK412(sK413)) ),
inference(superposition,[status(thm)],[c_334046,c_2322]) ).
tcf(c_350662,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k10_relat_1(X1,k2_relat_1(X1)))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k10_relat_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_2322,c_97]) ).
tcf(c_350663,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k10_relat_1(X1,k2_relat_1(X1)))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_2322,c_104]) ).
tcf(c_350664,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),k10_relat_1(X0,k2_relat_1(X0))) ),
inference(superposition,[status(thm)],[c_2322,c_2426]) ).
tcf(c_350665,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k10_relat_1(X0,X1),k10_relat_1(X0,k2_relat_1(X0))) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2322,c_817]) ).
tcf(c_350666,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k10_relat_1(X0,X1),k10_relat_1(X0,k2_relat_1(X0))) = k10_relat_1(X0,k2_relat_1(X0)) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2322,c_513]) ).
tcf(c_350667,plain,
! [X0: $i,X1: $i] :
( v1_membered(k10_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_membered(k10_relat_1(X0,k2_relat_1(X0))) ),
inference(superposition,[status(thm)],[c_2322,c_2460]) ).
tcf(c_350668,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k10_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_finset_1(k10_relat_1(X0,k2_relat_1(X0))) ),
inference(superposition,[status(thm)],[c_2322,c_872]) ).
tcf(c_350669,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k10_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(k10_relat_1(X0,k2_relat_1(X0))) ),
inference(superposition,[status(thm)],[c_2322,c_70]) ).
tcf(c_350670,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(k10_relat_1(X0,k2_relat_1(X0)),k10_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_2322,c_69]) ).
tcf(c_350671,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k10_relat_1(X1,X2))
| m1_subset_1(sK25(X0,k10_relat_1(X1,X2)),X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k10_relat_1(X1,k2_relat_1(X1))) ),
inference(superposition,[status(thm)],[c_2322,c_97752]) ).
tcf(c_350672,plain,
( r1_tarski(np__0,k10_relat_1(np__0,np__0))
| ~ v1_relat_1(np__0) ),
inference(light_normalisation,[status(thm)],[c_350649,c_539]) ).
tcf(c_350714,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k10_relat_1(sK39(X0),k2_relat_1(sK39(X0))) = k1_relat_1(sK39(X0)) ) ),
inference(superposition,[status(thm)],[c_149,c_2323]) ).
tcf(c_350715,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k10_relat_1(sK38(X0),k2_relat_1(sK38(X0))) = k1_relat_1(sK38(X0)) ) ),
inference(superposition,[status(thm)],[c_151,c_2323]) ).
tcf(c_350716,plain,
k10_relat_1(np__0,k2_relat_1(np__0)) = k1_relat_1(np__0),
inference(superposition,[status(thm)],[c_2204,c_2323]) ).
tcf(c_350717,plain,
k10_relat_1(sK44,k2_relat_1(sK44)) = k1_relat_1(sK44),
inference(superposition,[status(thm)],[c_174,c_2323]) ).
tcf(c_350718,plain,
k10_relat_1(sK45,k2_relat_1(sK45)) = k1_relat_1(sK45),
inference(superposition,[status(thm)],[c_177,c_2323]) ).
tcf(c_350719,plain,
! [X0: $i,X1: $i] : k10_relat_1(k2_zfmisc_1(X0,X1),k2_relat_1(k2_zfmisc_1(X0,X1))) = k1_relat_1(k2_zfmisc_1(X0,X1)),
inference(superposition,[status(thm)],[c_225,c_2323]) ).
tcf(c_350720,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k10_relat_1(sK58(X0,X1),k2_relat_1(sK58(X0,X1))) = k1_relat_1(sK58(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_244,c_2323]) ).
tcf(c_350721,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k10_relat_1(sK89(X0,X1),k2_relat_1(sK89(X0,X1))) = k1_relat_1(sK89(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_407,c_2323]) ).
tcf(c_350722,plain,
! [X0: $i] :
( ( k10_relat_1(k1_relat_1(X0),k2_relat_1(k1_relat_1(X0))) = k1_relat_1(k1_relat_1(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_434,c_2323]) ).
tcf(c_350723,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k2_xboole_0(X0,X1),k2_relat_1(k2_xboole_0(X0,X1))) = k1_relat_1(k2_xboole_0(X0,X1)) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_476,c_2323]) ).
tcf(c_350724,plain,
! [X0: $i] :
( ( k10_relat_1(k2_relat_1(X0),k2_relat_1(k2_relat_1(X0))) = k1_relat_1(k2_relat_1(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_551,c_2323]) ).
tcf(c_350725,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k4_xboole_0(X0,X1),k2_relat_1(k4_xboole_0(X0,X1))) = k1_relat_1(k4_xboole_0(X0,X1)) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_792,c_2323]) ).
tcf(c_350726,plain,
k10_relat_1(sK205,k2_relat_1(sK205)) = k1_relat_1(sK205),
inference(superposition,[status(thm)],[c_841,c_2323]) ).
tcf(c_350727,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)),k2_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)))) = k1_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X0))) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_925,c_2323]) ).
tcf(c_350728,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k10_relat_1(u2_lattices(X0),k2_relat_1(u2_lattices(X0))) = k1_relat_1(u2_lattices(X0)) )
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(superposition,[status(thm)],[c_968,c_2323]) ).
tcf(c_350729,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k10_relat_1(u2_lattices(X0),k2_relat_1(u2_lattices(X0))) = k1_relat_1(u2_lattices(X0)) )
| ~ l2_lattices(X0)
| ~ v5_lattices(X0) ),
inference(superposition,[status(thm)],[c_963,c_2323]) ).
tcf(c_350730,plain,
! [X0: $i,X1: $i] : k10_relat_1(sK237(X0,X1),k2_relat_1(sK237(X0,X1))) = k1_relat_1(sK237(X0,X1)),
inference(superposition,[status(thm)],[c_1053,c_2323]) ).
tcf(c_350731,plain,
! [X0: $i,X1: $i] : k10_relat_1(sK238(X0,X1),k2_relat_1(sK238(X0,X1))) = k1_relat_1(sK238(X0,X1)),
inference(superposition,[status(thm)],[c_1057,c_2323]) ).
tcf(c_350732,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k5_relat_1(X1,X0),k2_relat_1(k5_relat_1(X1,X0))) = k1_relat_1(k5_relat_1(X1,X0)) )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1291,c_2323]) ).
tcf(c_350733,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k5_relat_1(X0,X1),k2_relat_1(k5_relat_1(X0,X1))) = k1_relat_1(k5_relat_1(X0,X1)) )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1289,c_2323]) ).
tcf(c_350734,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k5_relat_1(X0,X1),k2_relat_1(k5_relat_1(X0,X1))) = k1_relat_1(k5_relat_1(X0,X1)) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1262,c_2323]) ).
tcf(c_350737,plain,
k10_relat_1(sK293,k2_relat_1(sK293)) = k1_relat_1(sK293),
inference(superposition,[status(thm)],[c_1365,c_2323]) ).
tcf(c_350738,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k10_relat_1(u1_lattices(X0),k2_relat_1(u1_lattices(X0))) = k1_relat_1(u1_lattices(X0)) )
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(superposition,[status(thm)],[c_1513,c_2323]) ).
tcf(c_350739,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k10_relat_1(u1_lattices(X0),k2_relat_1(u1_lattices(X0))) = k1_relat_1(u1_lattices(X0)) )
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(superposition,[status(thm)],[c_1508,c_2323]) ).
tcf(c_350740,plain,
! [X0: $i] :
( ( k10_relat_1(sK412(X0),k2_relat_1(sK412(X0))) = k1_relat_1(sK412(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2196,c_2323]) ).
tcf(c_350741,plain,
k10_relat_1(sK413,k2_relat_1(sK413)) = k1_relat_1(sK413),
inference(superposition,[status(thm)],[c_2208,c_2323]) ).
tcf(c_350742,plain,
! [X0: $i] : k10_relat_1(sK414(X0),k2_relat_1(sK414(X0))) = k1_relat_1(sK414(X0)),
inference(superposition,[status(thm)],[c_2213,c_2323]) ).
tcf(c_350743,plain,
k10_relat_1(sK415,k2_relat_1(sK415)) = k1_relat_1(sK415),
inference(superposition,[status(thm)],[c_2218,c_2323]) ).
tcf(c_350744,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k7_relat_1(X0,X1),k2_relat_1(k7_relat_1(X0,X1))) = k1_relat_1(k7_relat_1(X0,X1)) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2240,c_2323]) ).
tcf(c_350745,plain,
! [X0: $i] :
( ( k10_relat_1(sK29(k5_finsub_1(X0)),k2_relat_1(sK29(k5_finsub_1(X0)))) = k1_relat_1(sK29(k5_finsub_1(X0))) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329107,c_2323]) ).
tcf(c_350746,plain,
! [X0: $i] :
( ( k10_relat_1(sK29(k1_zfmisc_1(X0)),k2_relat_1(sK29(k1_zfmisc_1(X0)))) = k1_relat_1(sK29(k1_zfmisc_1(X0))) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329122,c_2323]) ).
tcf(c_350747,plain,
! [X0: $i] :
( ( k10_relat_1(sK47(k1_zfmisc_1(X0)),k2_relat_1(sK47(k1_zfmisc_1(X0)))) = k1_relat_1(sK47(k1_zfmisc_1(X0))) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329129,c_2323]) ).
tcf(c_350748,plain,
! [X0: $i,X1: $i] : k10_relat_1(sK29(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k2_relat_1(sK29(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) = k1_relat_1(sK29(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),
inference(superposition,[status(thm)],[c_329799,c_2323]) ).
tcf(c_350749,plain,
! [X0: $i,X1: $i] : k10_relat_1(sK47(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k2_relat_1(sK47(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) = k1_relat_1(sK47(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),
inference(superposition,[status(thm)],[c_329821,c_2323]) ).
tcf(c_350750,plain,
! [X0: $i] :
( ( k10_relat_1(sK29(X0),k2_relat_1(sK29(X0))) = k1_relat_1(sK29(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329968,c_2323]) ).
tcf(c_350751,plain,
k10_relat_1(sK47(k5_finsub_1(sK205)),k2_relat_1(sK47(k5_finsub_1(sK205)))) = k1_relat_1(sK47(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_331281,c_2323]) ).
tcf(c_350752,plain,
k10_relat_1(sK53(sK205),k2_relat_1(sK53(sK205))) = k1_relat_1(sK53(sK205)),
inference(superposition,[status(thm)],[c_331354,c_2323]) ).
tcf(c_350753,plain,
k10_relat_1(sK210(sK205),k2_relat_1(sK210(sK205))) = k1_relat_1(sK210(sK205)),
inference(superposition,[status(thm)],[c_331368,c_2323]) ).
tcf(c_350754,plain,
k10_relat_1(sK211(sK205),k2_relat_1(sK211(sK205))) = k1_relat_1(sK211(sK205)),
inference(superposition,[status(thm)],[c_331382,c_2323]) ).
tcf(c_350755,plain,
( ( k10_relat_1(sK47(k5_finsub_1(sK212)),k2_relat_1(sK47(k5_finsub_1(sK212)))) = k1_relat_1(sK47(k5_finsub_1(sK212))) )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331806,c_2323]) ).
tcf(c_350756,plain,
( ( k10_relat_1(sK53(sK212),k2_relat_1(sK53(sK212))) = k1_relat_1(sK53(sK212)) )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331943,c_2323]) ).
tcf(c_350757,plain,
( ( k10_relat_1(sK210(sK212),k2_relat_1(sK210(sK212))) = k1_relat_1(sK210(sK212)) )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331958,c_2323]) ).
tcf(c_350758,plain,
( ( k10_relat_1(sK211(sK212),k2_relat_1(sK211(sK212))) = k1_relat_1(sK211(sK212)) )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331973,c_2323]) ).
tcf(c_350759,plain,
k10_relat_1(sK47(k5_finsub_1(sK413)),k2_relat_1(sK47(k5_finsub_1(sK413)))) = k1_relat_1(sK47(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_333642,c_2323]) ).
tcf(c_350760,plain,
k10_relat_1(sK53(sK413),k2_relat_1(sK53(sK413))) = k1_relat_1(sK53(sK413)),
inference(superposition,[status(thm)],[c_334400,c_2323]) ).
tcf(c_350761,plain,
k10_relat_1(sK210(sK413),k2_relat_1(sK210(sK413))) = k1_relat_1(sK210(sK413)),
inference(superposition,[status(thm)],[c_334438,c_2323]) ).
tcf(c_350762,plain,
k10_relat_1(sK211(sK413),k2_relat_1(sK211(sK413))) = k1_relat_1(sK211(sK413)),
inference(superposition,[status(thm)],[c_334466,c_2323]) ).
tcf(c_350763,plain,
! [X0: $i] : k10_relat_1(sK272(X0,X0),k2_relat_1(sK272(X0,X0))) = k1_relat_1(sK272(X0,X0)),
inference(superposition,[status(thm)],[c_339485,c_2323]) ).
tcf(c_350764,plain,
! [X0: $i] : k10_relat_1(sK272(np__0,X0),k2_relat_1(sK272(np__0,X0))) = k1_relat_1(sK272(np__0,X0)),
inference(superposition,[status(thm)],[c_339495,c_2323]) ).
tcf(c_350765,plain,
! [X0: $i] : k10_relat_1(sK273(X0,X0),k2_relat_1(sK273(X0,X0))) = k1_relat_1(sK273(X0,X0)),
inference(superposition,[status(thm)],[c_339538,c_2323]) ).
tcf(c_350766,plain,
! [X0: $i] : k10_relat_1(sK273(np__0,X0),k2_relat_1(sK273(np__0,X0))) = k1_relat_1(sK273(np__0,X0)),
inference(superposition,[status(thm)],[c_339548,c_2323]) ).
tcf(c_350767,plain,
k10_relat_1(sK29(k5_finsub_1(sK205)),k2_relat_1(sK29(k5_finsub_1(sK205)))) = k1_relat_1(sK29(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_340583,c_2323]) ).
tcf(c_350768,plain,
k10_relat_1(sK29(k5_finsub_1(sK413)),k2_relat_1(sK29(k5_finsub_1(sK413)))) = k1_relat_1(sK29(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_340580,c_2323]) ).
tcf(c_350769,plain,
k10_relat_1(sK74(k5_finsub_1(np__0)),k2_relat_1(sK74(k5_finsub_1(np__0)))) = k1_relat_1(sK74(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_340972,c_2323]) ).
tcf(c_350770,plain,
k10_relat_1(sK75(k5_finsub_1(np__0)),k2_relat_1(sK75(k5_finsub_1(np__0)))) = k1_relat_1(sK75(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_340971,c_2323]) ).
tcf(c_350771,plain,
k10_relat_1(sK25(k5_finsub_1(sK205),np__0),k2_relat_1(sK25(k5_finsub_1(sK205),np__0))) = k1_relat_1(sK25(k5_finsub_1(sK205),np__0)),
inference(superposition,[status(thm)],[c_334944,c_2323]) ).
tcf(c_350772,plain,
k10_relat_1(sK25(k5_finsub_1(sK413),np__0),k2_relat_1(sK25(k5_finsub_1(sK413),np__0))) = k1_relat_1(sK25(k5_finsub_1(sK413),np__0)),
inference(superposition,[status(thm)],[c_337187,c_2323]) ).
tcf(c_350900,plain,
( r1_tarski(np__0,k9_relat_1(np__0,k1_relat_1(np__0)))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_2362,c_2364]) ).
tcf(c_350901,plain,
( r1_tarski(np__0,k9_relat_1(sK44,k1_relat_1(sK44)))
| ~ v1_relat_1(sK44) ),
inference(superposition,[status(thm)],[c_334483,c_2364]) ).
tcf(c_350902,plain,
( r1_tarski(np__0,k9_relat_1(sK45,k1_relat_1(sK45)))
| ~ v1_relat_1(sK45) ),
inference(superposition,[status(thm)],[c_334484,c_2364]) ).
tcf(c_350903,plain,
( r1_tarski(np__0,k9_relat_1(sK205,k1_relat_1(sK205)))
| ~ v1_relat_1(sK205) ),
inference(superposition,[status(thm)],[c_334491,c_2364]) ).
tcf(c_350904,plain,
( r1_tarski(np__0,k9_relat_1(sK293,k1_relat_1(sK293)))
| ~ v1_relat_1(sK293) ),
inference(superposition,[status(thm)],[c_334497,c_2364]) ).
tcf(c_350905,plain,
( r1_tarski(np__0,k9_relat_1(sK413,k1_relat_1(sK413)))
| ~ v1_relat_1(sK413) ),
inference(superposition,[status(thm)],[c_334499,c_2364]) ).
tcf(c_350906,plain,
( r1_tarski(np__0,k9_relat_1(sK415,k1_relat_1(sK415)))
| ~ v1_relat_1(sK415) ),
inference(superposition,[status(thm)],[c_334501,c_2364]) ).
tcf(c_350908,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k9_relat_1(sK38(X0),X1),k9_relat_1(sK38(X0),X0))
| ( X0 = np__0 )
| ~ v1_relat_1(sK38(X0)) ),
inference(superposition,[status(thm)],[c_147,c_2364]) ).
tcf(c_350909,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k9_relat_1(sK39(X0),X1),k9_relat_1(sK39(X0),X0))
| ( X0 = np__0 )
| ~ v1_relat_1(sK39(X0)) ),
inference(superposition,[status(thm)],[c_148,c_2364]) ).
tcf(c_350910,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(sK58(X0,X1),X2),k9_relat_1(sK58(X0,X1),X0))
| ( X0 = np__0 )
| ~ v1_relat_1(sK58(X0,X1)) ),
inference(superposition,[status(thm)],[c_246,c_2364]) ).
tcf(c_350911,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(sK89(X0,X1),X2),k9_relat_1(sK89(X0,X1),X1))
| ( X0 = np__0 )
| ~ v1_relat_1(sK89(X0,X1)) ),
inference(superposition,[status(thm)],[c_405,c_2364]) ).
tcf(c_350912,plain,
! [X0: $i] :
( r1_tarski(k9_relat_1(np__0,X0),k9_relat_1(np__0,np__0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_426,c_2364]) ).
tcf(c_350913,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k9_relat_1(X1,k1_relat_1(X1)))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k9_relat_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_2364,c_97]) ).
tcf(c_350914,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k9_relat_1(X1,k1_relat_1(X1)))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_2364,c_104]) ).
tcf(c_350915,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),k9_relat_1(X0,k1_relat_1(X0))) ),
inference(superposition,[status(thm)],[c_2364,c_2426]) ).
tcf(c_350916,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k9_relat_1(X0,X1),k9_relat_1(X0,k1_relat_1(X0))) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2364,c_817]) ).
tcf(c_350917,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k9_relat_1(X0,X1),k9_relat_1(X0,k1_relat_1(X0))) = k9_relat_1(X0,k1_relat_1(X0)) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2364,c_513]) ).
tcf(c_350918,plain,
! [X0: $i,X1: $i] :
( v1_membered(k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_membered(k9_relat_1(X0,k1_relat_1(X0))) ),
inference(superposition,[status(thm)],[c_2364,c_2460]) ).
tcf(c_350919,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_finset_1(k9_relat_1(X0,k1_relat_1(X0))) ),
inference(superposition,[status(thm)],[c_2364,c_872]) ).
tcf(c_350920,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(k9_relat_1(X0,k1_relat_1(X0))) ),
inference(superposition,[status(thm)],[c_2364,c_70]) ).
tcf(c_350921,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(k9_relat_1(X0,k1_relat_1(X0)),k9_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_2364,c_69]) ).
tcf(c_350922,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k9_relat_1(X1,X2))
| m1_subset_1(sK25(X0,k9_relat_1(X1,X2)),X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k9_relat_1(X1,k1_relat_1(X1))) ),
inference(superposition,[status(thm)],[c_2364,c_97752]) ).
tcf(c_350923,plain,
( r1_tarski(np__0,k9_relat_1(np__0,np__0))
| ~ v1_relat_1(np__0) ),
inference(light_normalisation,[status(thm)],[c_350900,c_426]) ).
tcf(c_350986,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k9_relat_1(sK39(X0),k1_relat_1(sK39(X0))) = k2_relat_1(sK39(X0)) ) ),
inference(superposition,[status(thm)],[c_149,c_2365]) ).
tcf(c_350987,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k9_relat_1(sK38(X0),k1_relat_1(sK38(X0))) = k2_relat_1(sK38(X0)) ) ),
inference(superposition,[status(thm)],[c_151,c_2365]) ).
tcf(c_350988,plain,
k9_relat_1(np__0,k1_relat_1(np__0)) = k2_relat_1(np__0),
inference(superposition,[status(thm)],[c_2204,c_2365]) ).
tcf(c_350989,plain,
k9_relat_1(sK44,k1_relat_1(sK44)) = k2_relat_1(sK44),
inference(superposition,[status(thm)],[c_174,c_2365]) ).
tcf(c_350990,plain,
k9_relat_1(sK45,k1_relat_1(sK45)) = k2_relat_1(sK45),
inference(superposition,[status(thm)],[c_177,c_2365]) ).
tcf(c_350991,plain,
! [X0: $i,X1: $i] : k9_relat_1(k2_zfmisc_1(X0,X1),k1_relat_1(k2_zfmisc_1(X0,X1))) = k2_relat_1(k2_zfmisc_1(X0,X1)),
inference(superposition,[status(thm)],[c_225,c_2365]) ).
tcf(c_350992,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k9_relat_1(sK58(X0,X1),k1_relat_1(sK58(X0,X1))) = k2_relat_1(sK58(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_244,c_2365]) ).
tcf(c_350993,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k9_relat_1(sK89(X0,X1),k1_relat_1(sK89(X0,X1))) = k2_relat_1(sK89(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_407,c_2365]) ).
tcf(c_350994,plain,
! [X0: $i] :
( ( k9_relat_1(k1_relat_1(X0),k1_relat_1(k1_relat_1(X0))) = k2_relat_1(k1_relat_1(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_434,c_2365]) ).
tcf(c_350995,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k2_xboole_0(X0,X1),k1_relat_1(k2_xboole_0(X0,X1))) = k2_relat_1(k2_xboole_0(X0,X1)) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_476,c_2365]) ).
tcf(c_350996,plain,
! [X0: $i] :
( ( k9_relat_1(k2_relat_1(X0),k1_relat_1(k2_relat_1(X0))) = k2_relat_1(k2_relat_1(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_551,c_2365]) ).
tcf(c_350997,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k4_xboole_0(X0,X1),k1_relat_1(k4_xboole_0(X0,X1))) = k2_relat_1(k4_xboole_0(X0,X1)) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_792,c_2365]) ).
tcf(c_350998,plain,
k9_relat_1(sK205,k1_relat_1(sK205)) = k2_relat_1(sK205),
inference(superposition,[status(thm)],[c_841,c_2365]) ).
tcf(c_350999,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)),k1_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)))) = k2_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X0))) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_925,c_2365]) ).
tcf(c_351000,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k9_relat_1(u2_lattices(X0),k1_relat_1(u2_lattices(X0))) = k2_relat_1(u2_lattices(X0)) )
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(superposition,[status(thm)],[c_968,c_2365]) ).
tcf(c_351001,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k9_relat_1(u2_lattices(X0),k1_relat_1(u2_lattices(X0))) = k2_relat_1(u2_lattices(X0)) )
| ~ l2_lattices(X0)
| ~ v5_lattices(X0) ),
inference(superposition,[status(thm)],[c_963,c_2365]) ).
tcf(c_351002,plain,
! [X0: $i,X1: $i] : k9_relat_1(sK237(X0,X1),k1_relat_1(sK237(X0,X1))) = k2_relat_1(sK237(X0,X1)),
inference(superposition,[status(thm)],[c_1053,c_2365]) ).
tcf(c_351003,plain,
! [X0: $i,X1: $i] : k9_relat_1(sK238(X0,X1),k1_relat_1(sK238(X0,X1))) = k2_relat_1(sK238(X0,X1)),
inference(superposition,[status(thm)],[c_1057,c_2365]) ).
tcf(c_351004,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k5_relat_1(X1,X0),k1_relat_1(k5_relat_1(X1,X0))) = k2_relat_1(k5_relat_1(X1,X0)) )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1291,c_2365]) ).
tcf(c_351005,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k5_relat_1(X0,X1),k1_relat_1(k5_relat_1(X0,X1))) = k2_relat_1(k5_relat_1(X0,X1)) )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1289,c_2365]) ).
tcf(c_351006,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k5_relat_1(X0,X1),k1_relat_1(k5_relat_1(X0,X1))) = k2_relat_1(k5_relat_1(X0,X1)) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1262,c_2365]) ).
tcf(c_351009,plain,
k9_relat_1(sK293,k1_relat_1(sK293)) = k2_relat_1(sK293),
inference(superposition,[status(thm)],[c_1365,c_2365]) ).
tcf(c_351010,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k9_relat_1(u1_lattices(X0),k1_relat_1(u1_lattices(X0))) = k2_relat_1(u1_lattices(X0)) )
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(superposition,[status(thm)],[c_1513,c_2365]) ).
tcf(c_351011,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k9_relat_1(u1_lattices(X0),k1_relat_1(u1_lattices(X0))) = k2_relat_1(u1_lattices(X0)) )
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(superposition,[status(thm)],[c_1508,c_2365]) ).
tcf(c_351012,plain,
! [X0: $i] :
( ( k9_relat_1(sK412(X0),k1_relat_1(sK412(X0))) = k2_relat_1(sK412(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2196,c_2365]) ).
tcf(c_351013,plain,
k9_relat_1(sK413,k1_relat_1(sK413)) = k2_relat_1(sK413),
inference(superposition,[status(thm)],[c_2208,c_2365]) ).
tcf(c_351014,plain,
! [X0: $i] : k9_relat_1(sK414(X0),k1_relat_1(sK414(X0))) = k2_relat_1(sK414(X0)),
inference(superposition,[status(thm)],[c_2213,c_2365]) ).
tcf(c_351015,plain,
k9_relat_1(sK415,k1_relat_1(sK415)) = k2_relat_1(sK415),
inference(superposition,[status(thm)],[c_2218,c_2365]) ).
tcf(c_351016,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k7_relat_1(X0,X1),k1_relat_1(k7_relat_1(X0,X1))) = k2_relat_1(k7_relat_1(X0,X1)) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2240,c_2365]) ).
tcf(c_351017,plain,
! [X0: $i] :
( ( k9_relat_1(sK29(k5_finsub_1(X0)),k1_relat_1(sK29(k5_finsub_1(X0)))) = k2_relat_1(sK29(k5_finsub_1(X0))) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329107,c_2365]) ).
tcf(c_351018,plain,
! [X0: $i] :
( ( k9_relat_1(sK29(k1_zfmisc_1(X0)),k1_relat_1(sK29(k1_zfmisc_1(X0)))) = k2_relat_1(sK29(k1_zfmisc_1(X0))) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329122,c_2365]) ).
tcf(c_351019,plain,
! [X0: $i] :
( ( k9_relat_1(sK47(k1_zfmisc_1(X0)),k1_relat_1(sK47(k1_zfmisc_1(X0)))) = k2_relat_1(sK47(k1_zfmisc_1(X0))) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_329129,c_2365]) ).
tcf(c_351020,plain,
! [X0: $i,X1: $i] : k9_relat_1(sK29(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_relat_1(sK29(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) = k2_relat_1(sK29(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),
inference(superposition,[status(thm)],[c_329799,c_2365]) ).
tcf(c_351021,plain,
! [X0: $i,X1: $i] : k9_relat_1(sK47(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_relat_1(sK47(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) = k2_relat_1(sK47(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),
inference(superposition,[status(thm)],[c_329821,c_2365]) ).
tcf(c_351022,plain,
! [X0: $i] :
( ( k9_relat_1(sK29(X0),k1_relat_1(sK29(X0))) = k2_relat_1(sK29(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_329968,c_2365]) ).
tcf(c_351023,plain,
k9_relat_1(sK47(k5_finsub_1(sK205)),k1_relat_1(sK47(k5_finsub_1(sK205)))) = k2_relat_1(sK47(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_331281,c_2365]) ).
tcf(c_351024,plain,
k9_relat_1(sK53(sK205),k1_relat_1(sK53(sK205))) = k2_relat_1(sK53(sK205)),
inference(superposition,[status(thm)],[c_331354,c_2365]) ).
tcf(c_351025,plain,
k9_relat_1(sK210(sK205),k1_relat_1(sK210(sK205))) = k2_relat_1(sK210(sK205)),
inference(superposition,[status(thm)],[c_331368,c_2365]) ).
tcf(c_351026,plain,
k9_relat_1(sK211(sK205),k1_relat_1(sK211(sK205))) = k2_relat_1(sK211(sK205)),
inference(superposition,[status(thm)],[c_331382,c_2365]) ).
tcf(c_351027,plain,
( ( k9_relat_1(sK47(k5_finsub_1(sK212)),k1_relat_1(sK47(k5_finsub_1(sK212)))) = k2_relat_1(sK47(k5_finsub_1(sK212))) )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331806,c_2365]) ).
tcf(c_351028,plain,
( ( k9_relat_1(sK53(sK212),k1_relat_1(sK53(sK212))) = k2_relat_1(sK53(sK212)) )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331943,c_2365]) ).
tcf(c_351029,plain,
( ( k9_relat_1(sK210(sK212),k1_relat_1(sK210(sK212))) = k2_relat_1(sK210(sK212)) )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331958,c_2365]) ).
tcf(c_351030,plain,
( ( k9_relat_1(sK211(sK212),k1_relat_1(sK211(sK212))) = k2_relat_1(sK211(sK212)) )
| ~ v1_relat_1(sK212) ),
inference(superposition,[status(thm)],[c_331973,c_2365]) ).
tcf(c_351031,plain,
k9_relat_1(sK47(k5_finsub_1(sK413)),k1_relat_1(sK47(k5_finsub_1(sK413)))) = k2_relat_1(sK47(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_333642,c_2365]) ).
tcf(c_351032,plain,
k9_relat_1(sK53(sK413),k1_relat_1(sK53(sK413))) = k2_relat_1(sK53(sK413)),
inference(superposition,[status(thm)],[c_334400,c_2365]) ).
tcf(c_351033,plain,
k9_relat_1(sK210(sK413),k1_relat_1(sK210(sK413))) = k2_relat_1(sK210(sK413)),
inference(superposition,[status(thm)],[c_334438,c_2365]) ).
tcf(c_351034,plain,
k9_relat_1(sK211(sK413),k1_relat_1(sK211(sK413))) = k2_relat_1(sK211(sK413)),
inference(superposition,[status(thm)],[c_334466,c_2365]) ).
tcf(c_351035,plain,
! [X0: $i] : k9_relat_1(sK272(X0,X0),k1_relat_1(sK272(X0,X0))) = k2_relat_1(sK272(X0,X0)),
inference(superposition,[status(thm)],[c_339485,c_2365]) ).
tcf(c_351036,plain,
! [X0: $i] : k9_relat_1(sK272(np__0,X0),k1_relat_1(sK272(np__0,X0))) = k2_relat_1(sK272(np__0,X0)),
inference(superposition,[status(thm)],[c_339495,c_2365]) ).
tcf(c_351037,plain,
! [X0: $i] : k9_relat_1(sK273(X0,X0),k1_relat_1(sK273(X0,X0))) = k2_relat_1(sK273(X0,X0)),
inference(superposition,[status(thm)],[c_339538,c_2365]) ).
tcf(c_351038,plain,
! [X0: $i] : k9_relat_1(sK273(np__0,X0),k1_relat_1(sK273(np__0,X0))) = k2_relat_1(sK273(np__0,X0)),
inference(superposition,[status(thm)],[c_339548,c_2365]) ).
tcf(c_351039,plain,
k9_relat_1(sK29(k5_finsub_1(sK205)),k1_relat_1(sK29(k5_finsub_1(sK205)))) = k2_relat_1(sK29(k5_finsub_1(sK205))),
inference(superposition,[status(thm)],[c_340583,c_2365]) ).
tcf(c_351040,plain,
k9_relat_1(sK29(k5_finsub_1(sK413)),k1_relat_1(sK29(k5_finsub_1(sK413)))) = k2_relat_1(sK29(k5_finsub_1(sK413))),
inference(superposition,[status(thm)],[c_340580,c_2365]) ).
tcf(c_351041,plain,
k9_relat_1(sK74(k5_finsub_1(np__0)),k1_relat_1(sK74(k5_finsub_1(np__0)))) = k2_relat_1(sK74(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_340972,c_2365]) ).
tcf(c_351042,plain,
k9_relat_1(sK75(k5_finsub_1(np__0)),k1_relat_1(sK75(k5_finsub_1(np__0)))) = k2_relat_1(sK75(k5_finsub_1(np__0))),
inference(superposition,[status(thm)],[c_340971,c_2365]) ).
tcf(c_351043,plain,
k9_relat_1(sK25(k5_finsub_1(sK205),np__0),k1_relat_1(sK25(k5_finsub_1(sK205),np__0))) = k2_relat_1(sK25(k5_finsub_1(sK205),np__0)),
inference(superposition,[status(thm)],[c_334944,c_2365]) ).
tcf(c_351044,plain,
k9_relat_1(sK25(k5_finsub_1(sK413),np__0),k1_relat_1(sK25(k5_finsub_1(sK413),np__0))) = k2_relat_1(sK25(k5_finsub_1(sK413),np__0)),
inference(superposition,[status(thm)],[c_337187,c_2365]) ).
tcf(c_351223,plain,
! [X0: $i] :
( r1_tarski(k10_relat_1(sK412(sK415),X0),k10_relat_1(sK412(sK415),sK415))
| ~ v1_relat_1(sK412(sK415)) ),
inference(superposition,[status(thm)],[c_350434,c_2322]) ).
tcf(c_351224,plain,
! [X0: $i] :
( r1_tarski(k2_relat_1(k7_relat_1(sK412(sK415),X0)),sK415)
| ~ v1_relat_1(sK412(sK415)) ),
inference(superposition,[status(thm)],[c_350434,c_2260]) ).
tcf(c_351225,plain,
( r1_tarski(sK412(sK415),k2_zfmisc_1(k1_relat_1(sK412(sK415)),sK415))
| ~ v1_relat_1(sK412(sK415)) ),
inference(superposition,[status(thm)],[c_350434,c_430]) ).
tcf(c_351226,plain,
! [X0: $i] :
( r1_tarski(k9_relat_1(sK412(sK415),X0),sK415)
| ~ v1_relat_1(sK412(sK415)) ),
inference(superposition,[status(thm)],[c_350434,c_2367]) ).
tcf(c_351228,plain,
( v1_xboole_0(sK412(sK415))
| ~ v1_xboole_0(sK415)
| ~ v1_relat_1(sK412(sK415)) ),
inference(superposition,[status(thm)],[c_350434,c_552]) ).
tcf(c_351229,plain,
( v2_membered(sK415)
| ~ v1_xboole_0(sK412(sK415)) ),
inference(superposition,[status(thm)],[c_350434,c_326887]) ).
tcf(c_351230,plain,
( v5_membered(sK415)
| ~ v1_xboole_0(sK412(sK415)) ),
inference(superposition,[status(thm)],[c_350434,c_325224]) ).
tcf(c_351231,plain,
( v1_membered(sK415)
| ~ v1_xboole_0(sK412(sK415)) ),
inference(superposition,[status(thm)],[c_350434,c_325213]) ).
tcf(c_351233,plain,
( v1_realset1(sK415)
| ~ v1_xboole_0(sK412(sK415)) ),
inference(superposition,[status(thm)],[c_350434,c_324375]) ).
tcf(c_351235,plain,
( v2_funct_1(sK415)
| ~ v1_xboole_0(sK412(sK415)) ),
inference(superposition,[status(thm)],[c_350434,c_324373]) ).
tcf(c_351237,plain,
( v1_xboole_0(sK415)
| ~ v1_xboole_0(sK412(sK415)) ),
inference(superposition,[status(thm)],[c_350434,c_550]) ).
tcf(c_351261,plain,
! [X0: $i] :
( r1_tarski(X0,k1_zfmisc_1(sK415))
| ~ r1_tarski(sK28(X0,k5_finsub_1(sK415)),sK415) ),
inference(superposition,[status(thm)],[c_350435,c_329285]) ).
tcf(c_351262,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),k5_finsub_1(sK415)),k1_zfmisc_1(k2_xboole_0(X0,sK415))),
inference(superposition,[status(thm)],[c_350435,c_485]) ).
tcf(c_351263,plain,
! [X0: $i] :
( m1_subset_1(k2_tarski(X0,X0),k5_finsub_1(sK415))
| ~ r2_hidden(X0,sK415) ),
inference(superposition,[status(thm)],[c_350435,c_252]) ).
tcf(c_351264,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(X0),k5_finsub_1(sK415))
| ~ r1_tarski(X0,sK415) ),
inference(superposition,[status(thm)],[c_350435,c_90]) ).
tcf(c_351265,plain,
! [X0: $i] : ~ r1_tarski(k2_xboole_0(X0,k5_finsub_1(sK415)),sK415),
inference(superposition,[status(thm)],[c_350435,c_327403]) ).
tcf(c_351266,plain,
! [X0: $i] : ~ r1_tarski(k2_tarski(X0,k5_finsub_1(sK415)),sK415),
inference(superposition,[status(thm)],[c_350435,c_327182]) ).
tcf(c_351267,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(X0,k5_finsub_1(sK415))),
inference(superposition,[status(thm)],[c_350435,c_328301]) ).
tcf(c_351268,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_tarski(sK26(k5_finsub_1(sK415),X0,X1),sK415)
| ~ r1_tarski(X1,k1_zfmisc_1(sK415))
| ~ r1_tarski(X0,k1_zfmisc_1(sK415)) ),
inference(superposition,[status(thm)],[c_350435,c_326381]) ).
tcf(c_351269,plain,
! [X0: $i] :
( r1_tarski(X0,sK415)
| ~ r2_hidden(X0,k5_finsub_1(sK415)) ),
inference(superposition,[status(thm)],[c_350435,c_94]) ).
tcf(c_351270,plain,
! [X0: $i] :
( r2_hidden(X0,k5_finsub_1(sK415))
| ~ r1_tarski(X0,sK415) ),
inference(superposition,[status(thm)],[c_350435,c_93]) ).
tcf(c_351271,plain,
! [X0: $i] :
( r1_tarski(X0,sK415)
| ~ m1_subset_1(X0,k5_finsub_1(sK415)) ),
inference(superposition,[status(thm)],[c_350435,c_72]) ).
tcf(c_351272,plain,
! [X0: $i] :
( m1_subset_1(X0,k5_finsub_1(sK415))
| ~ r1_tarski(X0,sK415) ),
inference(superposition,[status(thm)],[c_350435,c_71]) ).
tcf(c_351273,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(sK415,X1)))
| m1_subset_1(sK25(X0,k1_zfmisc_1(k4_xboole_0(sK415,X1))),X0)
| ~ r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k5_finsub_1(sK415),k1_zfmisc_1(X1)))) ),
inference(superposition,[status(thm)],[c_350435,c_323864]) ).
tcf(c_351274,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,sK415)),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k5_finsub_1(sK415)))),
inference(superposition,[status(thm)],[c_350435,c_33271]) ).
tcf(c_351275,plain,
! [X0: $i] : r1_tarski(k2_zfmisc_1(sK415,k4_xboole_0(sK415,X0)),k1_zfmisc_1(k5_finsub_1(sK415))),
inference(superposition,[status(thm)],[c_350435,c_330381]) ).
tcf(c_351276,plain,
~ r1_xboole_0(k5_finsub_1(np__0),k5_finsub_1(sK415)),
inference(superposition,[status(thm)],[c_350435,c_342622]) ).
tcf(c_351277,plain,
( v1_finset_1(sK47(k5_finsub_1(sK415)))
| ~ v1_finset_1(sK415) ),
inference(superposition,[status(thm)],[c_350435,c_331038]) ).
tcf(c_351278,plain,
( v1_finset_1(sK29(k5_finsub_1(sK415)))
| ~ v1_finset_1(sK415) ),
inference(superposition,[status(thm)],[c_350435,c_331031]) ).
tcf(c_351280,plain,
~ r1_tarski(k5_finsub_1(sK415),np__0),
inference(superposition,[status(thm)],[c_350435,c_341560]) ).
tcf(c_351281,plain,
r1_tarski(k2_zfmisc_1(sK415,sK415),k1_zfmisc_1(k5_finsub_1(sK415))),
inference(superposition,[status(thm)],[c_350435,c_330378]) ).
tcf(c_351282,plain,
( v1_xboole_0(sK415)
| r2_hidden(sK53(sK415),k5_finsub_1(sK415)) ),
inference(superposition,[status(thm)],[c_350435,c_329489]) ).
tcf(c_351283,plain,
( v1_xboole_0(sK415)
| r2_hidden(sK210(sK415),k5_finsub_1(sK415)) ),
inference(superposition,[status(thm)],[c_350435,c_329483]) ).
tcf(c_351284,plain,
( v1_xboole_0(sK415)
| r2_hidden(sK211(sK415),k5_finsub_1(sK415)) ),
inference(superposition,[status(thm)],[c_350435,c_329480]) ).
tcf(c_351285,plain,
( v1_relat_1(k5_finsub_1(np__0))
| ~ v1_relat_1(k5_finsub_1(sK415)) ),
inference(superposition,[status(thm)],[c_350435,c_329303]) ).
tcf(c_351286,plain,
( v1_relat_1(sK47(k5_finsub_1(sK415)))
| ~ v1_relat_1(sK415) ),
inference(superposition,[status(thm)],[c_350435,c_329129]) ).
tcf(c_351287,plain,
( v1_relat_1(sK29(k5_finsub_1(sK415)))
| ~ v1_relat_1(sK415) ),
inference(superposition,[status(thm)],[c_350435,c_329122]) ).
tcf(c_351288,plain,
( r1_tarski(k5_finsub_1(sK415),k5_finsub_1(np__0))
| ~ r1_tarski(sK415,np__0) ),
inference(superposition,[status(thm)],[c_350435,c_329264]) ).
tcf(c_351290,plain,
( v4_ordinal2(np__0)
| ~ v5_membered(k5_finsub_1(sK415)) ),
inference(superposition,[status(thm)],[c_350435,c_333404]) ).
tcf(c_351291,plain,
( v4_ordinal2(sK415)
| ~ v5_membered(k5_finsub_1(sK415)) ),
inference(superposition,[status(thm)],[c_350435,c_333377]) ).
tcf(c_351292,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(sK415),k1_zfmisc_1(X0)),k1_zfmisc_1(k2_xboole_0(sK415,X0))),
inference(superposition,[status(thm)],[c_350435,c_485]) ).
tcf(c_351293,plain,
( v1_xreal_0(sK415)
| ~ v2_membered(k5_finsub_1(sK415)) ),
inference(superposition,[status(thm)],[c_350435,c_332693]) ).
tcf(c_351294,plain,
( v1_xcmplx_0(sK415)
| ~ v2_membered(k5_finsub_1(sK415)) ),
inference(superposition,[status(thm)],[c_350435,c_332420]) ).
tcf(c_351295,plain,
( v1_xcmplx_0(sK415)
| ~ v1_membered(k5_finsub_1(sK415)) ),
inference(superposition,[status(thm)],[c_350435,c_332134]) ).
tcf(c_351296,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(sK415),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k5_finsub_1(sK415),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK415)
| ~ r1_tarski(k1_zfmisc_1(sK415),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_350435,c_328021]) ).
tcf(c_351297,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(sK415),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(sK415),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),sK415)
| ~ r1_tarski(k1_zfmisc_1(sK415),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_350435,c_327861]) ).
tcf(c_351298,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(sK415),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| r1_tarski(sK25(k5_finsub_1(sK415),k4_xboole_0(X1,k4_xboole_0(X1,X0))),sK415)
| ~ r1_tarski(k1_zfmisc_1(sK415),X0) ),
inference(superposition,[status(thm)],[c_350435,c_331985]) ).
tcf(c_351299,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(sK415),k2_xboole_0(X1,X0))
| r1_tarski(sK25(k5_finsub_1(sK415),k2_xboole_0(X1,X0)),sK415)
| ~ r1_tarski(k1_zfmisc_1(sK415),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_350435,c_331819]) ).
tcf(c_351300,plain,
m1_subset_1(sK415,k5_finsub_1(sK415)),
inference(superposition,[status(thm)],[c_350435,c_331768]) ).
tcf(c_351301,plain,
r2_hidden(sK415,k5_finsub_1(sK415)),
inference(superposition,[status(thm)],[c_350435,c_331696]) ).
tcf(c_351302,plain,
~ r2_hidden(k5_finsub_1(sK415),sK47(k5_finsub_1(sK415))),
inference(superposition,[status(thm)],[c_350435,c_328440]) ).
tcf(c_351303,plain,
~ r1_tarski(k1_zfmisc_1(k5_finsub_1(sK415)),sK415),
inference(superposition,[status(thm)],[c_350435,c_329952]) ).
tcf(c_351304,plain,
~ r2_hidden(k5_finsub_1(sK415),sK415),
inference(superposition,[status(thm)],[c_350435,c_329886]) ).
tcf(c_351305,plain,
r2_hidden(np__0,k5_finsub_1(sK415)),
inference(superposition,[status(thm)],[c_350435,c_329441]) ).
tcf(c_351306,plain,
~ r2_hidden(sK415,sK25(k5_finsub_1(sK415),np__0)),
inference(superposition,[status(thm)],[c_350435,c_328142]) ).
tcf(c_351307,plain,
~ r2_hidden(k5_finsub_1(sK415),k5_finsub_1(np__0)),
inference(superposition,[status(thm)],[c_350435,c_329304]) ).
tcf(c_351308,plain,
r1_tarski(k5_finsub_1(np__0),k5_finsub_1(sK415)),
inference(superposition,[status(thm)],[c_350435,c_329271]) ).
tcf(c_351309,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(sK415),k1_zfmisc_1(X0))
| ~ r1_tarski(sK415,X0) ),
inference(superposition,[status(thm)],[c_350435,c_90]) ).
tcf(c_351310,plain,
! [X0: $i] : ~ r1_tarski(k2_tarski(k5_finsub_1(sK415),X0),sK415),
inference(superposition,[status(thm)],[c_350435,c_327177]) ).
tcf(c_351311,plain,
~ r2_hidden(k1_card_1(k5_finsub_1(sK415)),k1_card_1(sK415)),
inference(superposition,[status(thm)],[c_350435,c_326673]) ).
tcf(c_351312,plain,
~ r2_hidden(sK415,sK47(k5_finsub_1(sK415))),
inference(superposition,[status(thm)],[c_350435,c_328446]) ).
tcf(c_351313,plain,
m1_subset_1(sK47(k5_finsub_1(sK415)),k5_finsub_1(sK415)),
inference(superposition,[status(thm)],[c_350435,c_328443]) ).
tcf(c_351314,plain,
r1_tarski(sK47(k5_finsub_1(sK415)),sK415),
inference(superposition,[status(thm)],[c_350435,c_328444]) ).
tcf(c_351315,plain,
r2_hidden(sK47(k5_finsub_1(sK415)),k5_finsub_1(sK415)),
inference(superposition,[status(thm)],[c_350435,c_328343]) ).
tcf(c_351316,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(sK415),X0)
| r1_tarski(sK28(k5_finsub_1(sK415),X0),sK415) ),
inference(superposition,[status(thm)],[c_350435,c_326593]) ).
tcf(c_351317,plain,
! [X0: $i] : ~ v1_xboole_0(k2_xboole_0(k5_finsub_1(sK415),X0)),
inference(superposition,[status(thm)],[c_350435,c_328292]) ).
tcf(c_351318,plain,
! [X0: $i] : ~ r1_tarski(k2_xboole_0(k5_finsub_1(sK415),X0),sK415),
inference(superposition,[status(thm)],[c_350435,c_326441]) ).
tcf(c_351319,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r1_tarski(k1_zfmisc_1(sK415),sK26(k5_finsub_1(X1),X0,X2))
| r1_tarski(sK25(k5_finsub_1(sK415),sK26(k5_finsub_1(X1),X0,X2)),sK415)
| ~ r1_tarski(k1_zfmisc_1(sK415),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_350435,c_326385]) ).
tcf(c_351320,plain,
~ r2_hidden(k5_finsub_1(sK415),k2_tarski(sK415,sK415)),
inference(superposition,[status(thm)],[c_350435,c_326289]) ).
tcf(c_351321,plain,
r1_tarski(sK25(k5_finsub_1(sK415),np__0),sK415),
inference(superposition,[status(thm)],[c_350435,c_328139]) ).
tcf(c_351322,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(sK415),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(sK415),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK415)
| ~ r1_tarski(k1_zfmisc_1(sK415),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_350435,c_326382]) ).
tcf(c_351323,plain,
~ r2_hidden(sK415,sK29(k5_finsub_1(sK415))),
inference(superposition,[status(thm)],[c_350435,c_326502]) ).
tcf(c_351324,plain,
~ r1_tarski(k5_finsub_1(sK415),sK415),
inference(superposition,[status(thm)],[c_350435,c_326440]) ).
tcf(c_351325,plain,
r1_tarski(sK29(k5_finsub_1(sK415)),sK415),
inference(superposition,[status(thm)],[c_350435,c_326374]) ).
tcf(c_351326,plain,
~ r2_hidden(k5_finsub_1(sK415),k5_finsub_1(sK415)),
inference(superposition,[status(thm)],[c_350435,c_326293]) ).
tcf(c_351327,plain,
m1_subset_1(k1_card_1(sK415),k1_card_1(k5_finsub_1(sK415))),
inference(superposition,[status(thm)],[c_350435,c_325144]) ).
tcf(c_351328,plain,
( v1_xboole_0(sK415)
| m1_subset_1(sK211(sK415),k5_finsub_1(sK415)) ),
inference(superposition,[status(thm)],[c_350435,c_882]) ).
tcf(c_351329,plain,
( v1_xboole_0(sK415)
| m1_subset_1(sK210(sK415),k5_finsub_1(sK415)) ),
inference(superposition,[status(thm)],[c_350435,c_873]) ).
tcf(c_351330,plain,
~ v1_xboole_0(k1_card_1(k5_finsub_1(sK415))),
inference(superposition,[status(thm)],[c_350435,c_325170]) ).
tcf(c_351331,plain,
( v1_xboole_0(sK415)
| m1_subset_1(sK53(sK415),k5_finsub_1(sK415)) ),
inference(superposition,[status(thm)],[c_350435,c_211]) ).
tcf(c_351332,plain,
r2_hidden(k1_card_1(sK415),k1_card_1(k5_finsub_1(sK415))),
inference(superposition,[status(thm)],[c_350435,c_1301]) ).
tcf(c_351333,plain,
( v1_finset_1(k5_finsub_1(sK415))
| ~ v1_finset_1(sK415) ),
inference(superposition,[status(thm)],[c_350435,c_865]) ).
tcf(c_351335,plain,
r1_tarski(k2_tarski(sK415,sK415),k5_finsub_1(sK415)),
inference(superposition,[status(thm)],[c_350435,c_263]) ).
tcf(c_351336,plain,
r1_tarski(k5_finsub_1(sK415),k5_finsub_1(sK415)),
inference(superposition,[status(thm)],[c_350435,c_920]) ).
tcf(c_351337,plain,
~ v1_xboole_0(k5_finsub_1(sK415)),
inference(superposition,[status(thm)],[c_350435,c_213]) ).
tcf(c_351338,plain,
m1_subset_1(np__0,k5_finsub_1(sK415)),
inference(superposition,[status(thm)],[c_350435,c_157]) ).
tcf(c_351339,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(sK415,X0)),k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k5_finsub_1(sK415),k1_zfmisc_1(X0)))),
inference(superposition,[status(thm)],[c_350435,c_33271]) ).
tcf(c_351340,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(X1,sK415)))
| m1_subset_1(sK25(X0,k1_zfmisc_1(k4_xboole_0(X1,sK415))),X0)
| ~ r1_tarski(X0,k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X1),k5_finsub_1(sK415)))) ),
inference(superposition,[status(thm)],[c_350435,c_323864]) ).
tcf(c_351341,plain,
v1_finset_1(k5_finsub_1(sK415)),
inference(forward_subsumption_resolution,[status(thm)],[c_351333,c_350296]) ).
tcf(c_351358,plain,
v1_relat_1(sK29(k5_finsub_1(sK415))),
inference(forward_subsumption_resolution,[status(thm)],[c_351287,c_2218]) ).
tcf(c_351359,plain,
v1_relat_1(sK47(k5_finsub_1(sK415))),
inference(forward_subsumption_resolution,[status(thm)],[c_351286,c_2218]) ).
tcf(c_351368,plain,
v1_finset_1(sK47(k5_finsub_1(sK415))),
inference(forward_subsumption_resolution,[status(thm)],[c_351277,c_350296]) ).
tcf(c_351383,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(sK415),X0)
| r1_tarski(sK28(k5_finsub_1(sK415),X0),sK415) ),
inference(light_normalisation,[status(thm)],[c_351316,c_350435]) ).
tcf(c_351388,plain,
! [X0: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(sK415),k1_zfmisc_1(X0)),k1_zfmisc_1(k2_xboole_0(X0,sK415))),
inference(theory_normalisation,[status(thm)],[c_351262,c_521,c_524]) ).
tcf(c_351389,plain,
! [X0: $i] :
( r1_tarski(X0,k5_finsub_1(sK415))
| ~ r1_tarski(sK28(X0,k5_finsub_1(sK415)),sK415) ),
inference(light_normalisation,[status(thm)],[c_351261,c_350435]) ).
tcf(c_351392,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_tarski(sK26(k5_finsub_1(sK415),X0,X1),sK415)
| ~ r1_tarski(X1,k5_finsub_1(sK415))
| ~ r1_tarski(X0,k5_finsub_1(sK415)) ),
inference(light_normalisation,[status(thm)],[c_351268,c_350435]) ).
tcf(c_351397,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(sK415),k2_xboole_0(X1,X0))
| r1_tarski(sK25(k5_finsub_1(sK415),k2_xboole_0(X1,X0)),sK415)
| ~ r1_tarski(k5_finsub_1(sK415),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_351299,c_350435]) ).
tcf(c_351401,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(sK415),k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| r1_tarski(sK25(k5_finsub_1(sK415),k4_xboole_0(X1,k4_xboole_0(X1,X0))),sK415)
| ~ r1_tarski(k5_finsub_1(sK415),X0) ),
inference(light_normalisation,[status(thm)],[c_351298,c_350435]) ).
tcf(c_351411,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(sK415),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(sK415),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK415)
| ~ r1_tarski(k5_finsub_1(sK415),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_351322,c_350435]) ).
tcf(c_351415,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(sK415),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))))
| r1_tarski(sK25(k5_finsub_1(sK415),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1)))),sK415)
| ~ r1_tarski(k5_finsub_1(sK415),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_351297,c_350435]) ).
tcf(c_351419,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(sK415),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X0,X1))))
| r1_tarski(sK25(k5_finsub_1(sK415),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))),sK415)
| ~ r1_tarski(k5_finsub_1(sK415),k2_xboole_0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_351296,c_350435]) ).
tcf(c_351423,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r1_tarski(k5_finsub_1(sK415),sK26(k5_finsub_1(X1),X0,X2))
| r1_tarski(sK25(k5_finsub_1(sK415),sK26(k5_finsub_1(X1),X0,X2)),sK415)
| ~ r1_tarski(k5_finsub_1(sK415),X1)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(light_normalisation,[status(thm)],[c_351319,c_350435]) ).
tcf(c_351605,plain,
k1_card_1(sK204(k5_finsub_1(sK415))) = k1_card_1(k5_finsub_1(sK415)),
inference(superposition,[status(thm)],[c_351341,c_835]) ).
tcf(c_351606,plain,
k2_relat_1(sK412(k5_finsub_1(sK415))) = k5_finsub_1(sK415),
inference(superposition,[status(thm)],[c_351341,c_2199]) ).
tcf(c_351607,plain,
k1_zfmisc_1(k5_finsub_1(sK415)) = k5_finsub_1(k5_finsub_1(sK415)),
inference(superposition,[status(thm)],[c_351341,c_859]) ).
tcf(c_351626,plain,
k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),sK47(u1_struct_0(sK23))) = k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),
inference(superposition,[status(thm)],[c_348879,c_2410]) ).
tcf(c_351630,plain,
r1_xboole_0(sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0),sK24),
inference(demodulation,[status(thm)],[c_347878,c_330898]) ).
tcf(c_351631,plain,
k4_xboole_0(sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0),sK24) = sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0),
inference(superposition,[status(thm)],[c_351630,c_2410]) ).
tcf(c_351632,plain,
r1_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0)),
inference(superposition,[status(thm)],[c_351630,c_2434]) ).
tcf(c_351637,plain,
! [X0: $i] :
( ( k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0) = k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) )
| ~ r1_tarski(X0,sK24) ),
inference(superposition,[status(thm)],[c_347723,c_2410]) ).
tcf(c_351639,plain,
! [X0: $i] :
( ~ r1_tarski(X0,sK24)
| ~ r2_hidden(u1_struct_0(sK23),X0) ),
inference(superposition,[status(thm)],[c_347723,c_1401]) ).
tcf(c_351640,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X1)
| ~ r1_tarski(k2_xboole_0(X0,X1),sK24) ),
inference(superposition,[status(thm)],[c_347723,c_2425]) ).
tcf(c_351641,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)
| ~ r1_tarski(k2_xboole_0(X0,X1),sK24) ),
inference(superposition,[status(thm)],[c_347723,c_2424]) ).
tcf(c_351653,plain,
! [X0: $i] : r1_xboole_0(k4_xboole_0(k2_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24),
inference(superposition,[status(thm)],[c_498,c_347865]) ).
tcf(c_351654,plain,
r1_xboole_0(k4_xboole_0(np__0,np__0),sK24),
inference(superposition,[status(thm)],[c_824,c_347865]) ).
tcf(c_351655,plain,
r1_xboole_0(k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),np__0),sK24),
inference(superposition,[status(thm)],[c_30376,c_347865]) ).
tcf(c_351658,plain,
r1_xboole_0(k4_xboole_0(sK24,sK24),sK24),
inference(superposition,[status(thm)],[c_346611,c_347865]) ).
tcf(c_351659,plain,
r1_xboole_0(k4_xboole_0(sK47(u1_struct_0(sK23)),sK47(u1_struct_0(sK23))),sK24),
inference(superposition,[status(thm)],[c_346612,c_347865]) ).
tcf(c_351660,plain,
! [X0: $i] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) = k4_xboole_0(X0,k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),
inference(superposition,[status(thm)],[c_347865,c_2410]) ).
tcf(c_351661,plain,
! [X0: $i] : r1_xboole_0(sK24,k4_xboole_0(X0,k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),
inference(superposition,[status(thm)],[c_347865,c_2434]) ).
tcf(c_351710,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| m1_subset_1(sK47(X2),X2)
| r1_tarski(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_328348,c_345270]) ).
tcf(c_351711,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r2_hidden(sK47(X2),X2)
| r1_tarski(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_326624,c_345270]) ).
tcf(c_351712,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_xboole_0(X2)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_326591,c_345270]) ).
tcf(c_351714,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(k4_xboole_0(X0,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_101,c_345270]) ).
tcf(c_351715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X3)
| r1_tarski(k2_tarski(X0,X0),k1_zfmisc_1(u1_struct_0(X3)))
| ~ l3_lattices(X3)
| ~ v17_lattices(X3)
| ~ v10_lattices(X3)
| ~ r1_tarski(X1,k7_lopclset(X3))
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_281,c_345270]) ).
tcf(c_351716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(k2_relat_1(sK89(k4_xboole_0(X0,X2),X3)),k1_zfmisc_1(u1_struct_0(X1)))
| ( k4_xboole_0(X0,X2) = np__0 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_406,c_345270]) ).
tcf(c_351717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X3)
| r1_tarski(k4_xboole_0(X0,X4),k1_zfmisc_1(u1_struct_0(X3)))
| ~ l3_lattices(X3)
| ~ v17_lattices(X3)
| ~ v10_lattices(X3)
| ~ r1_tarski(X1,k7_lopclset(X3))
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_812,c_345270]) ).
tcf(c_351718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(k4_xboole_0(k4_xboole_0(X0,X2),X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_819,c_345270]) ).
tcf(c_351719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(k4_xboole_0(X0,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_821,c_345270]) ).
tcf(c_351720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(k4_xboole_0(X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_822,c_345270]) ).
tcf(c_351721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(k7_relat_1(k4_xboole_0(X0,X2),X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_relat_1(k4_xboole_0(X0,X2))
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_2269,c_345270]) ).
tcf(c_351722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(k1_relat_1(k7_relat_1(X2,k4_xboole_0(X0,X3))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_relat_1(X2)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_2270,c_345270]) ).
tcf(c_351723,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v1_xboole_0(k4_xboole_0(X0,X2))
| r1_tarski(sK53(k4_xboole_0(X0,X2)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_326377,c_345270]) ).
tcf(c_351724,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v1_xboole_0(k4_xboole_0(X0,X2))
| r1_tarski(sK210(k4_xboole_0(X0,X2)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_326378,c_345270]) ).
tcf(c_351725,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v1_xboole_0(k4_xboole_0(X0,X2))
| r1_tarski(sK211(k4_xboole_0(X0,X2)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_326379,c_345270]) ).
tcf(c_351726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X4)
| r1_tarski(X3,X0)
| r1_tarski(sK26(k5_finsub_1(k4_xboole_0(X1,X2)),X3,X0),k1_zfmisc_1(u1_struct_0(X4)))
| ~ l3_lattices(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| ~ r1_tarski(X1,k7_lopclset(X4))
| ~ r1_tarski(X3,k5_finsub_1(k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,k5_finsub_1(k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_323884,c_345270]) ).
tcf(c_351727,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(sK29(k5_finsub_1(k4_xboole_0(X0,X2))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_323947,c_345270]) ).
tcf(c_351728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_realset2(X4)
| r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),k4_xboole_0(X5,k4_xboole_0(X5,k2_xboole_0(X3,X2))))
| r1_tarski(sK25(k5_finsub_1(k4_xboole_0(X0,X1)),k4_xboole_0(X5,k4_xboole_0(X5,k2_xboole_0(X2,X3)))),k1_zfmisc_1(u1_struct_0(X4)))
| ~ l3_lattices(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| ~ r1_tarski(X0,k7_lopclset(X4))
| ~ r1_tarski(k5_finsub_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_327049,c_345270]) ).
tcf(c_351729,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(sK47(k5_finsub_1(X2)),X2)
| r1_tarski(k5_finsub_1(X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_330228,c_345270]) ).
tcf(c_351730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(k4_xboole_0(X2,k4_xboole_0(X2,k4_xboole_0(X0,X3))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_324338,c_345270]) ).
tcf(c_351731,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v1_xboole_0(k4_xboole_0(X0,X2))
| r1_tarski(sK207(k4_xboole_0(X0,X2)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_325276,c_345270]) ).
tcf(c_351732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(k5_finsub_1(k4_xboole_0(X0,X2)),X3)
| r1_tarski(sK25(k5_finsub_1(k4_xboole_0(X0,X2)),X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_328506,c_345270]) ).
tcf(c_351733,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(sK29(k1_zfmisc_1(k4_xboole_0(X0,X2))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_326374,c_345270]) ).
tcf(c_351734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X4)
| r1_tarski(X3,X0)
| r1_tarski(sK26(k1_zfmisc_1(k4_xboole_0(X1,X2)),X3,X0),k1_zfmisc_1(u1_struct_0(X4)))
| ~ l3_lattices(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| ~ r1_tarski(X1,k7_lopclset(X4))
| ~ r1_tarski(X3,k1_zfmisc_1(k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_326381,c_345270]) ).
tcf(c_351735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_realset2(X4)
| r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X5,k4_xboole_0(X5,k2_xboole_0(X2,X3))))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X5,k4_xboole_0(X5,k2_xboole_0(X3,X2)))),k1_zfmisc_1(u1_struct_0(X4)))
| ~ l3_lattices(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| ~ r1_tarski(X0,k7_lopclset(X4))
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_328021,c_345270]) ).
tcf(c_351736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_realset2(X4)
| r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X5,k4_xboole_0(X5,k2_xboole_0(X3,X2))))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X5,k4_xboole_0(X5,k2_xboole_0(X3,X2)))),k1_zfmisc_1(u1_struct_0(X4)))
| ~ l3_lattices(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| ~ r1_tarski(X0,k7_lopclset(X4))
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_326382,c_345270]) ).
tcf(c_351737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_realset2(X4)
| r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X5,k4_xboole_0(X5,k2_xboole_0(X3,X2))))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X5,k4_xboole_0(X5,k2_xboole_0(X2,X3)))),k1_zfmisc_1(u1_struct_0(X4)))
| ~ l3_lattices(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| ~ r1_tarski(X0,k7_lopclset(X4))
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_327861,c_345270]) ).
tcf(c_351738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_realset2(X3)
| r1_tarski(X5,X4)
| r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),sK26(k5_finsub_1(X2),X5,X4))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),sK26(k5_finsub_1(X2),X5,X4)),k1_zfmisc_1(u1_struct_0(X3)))
| ~ l3_lattices(X3)
| ~ v17_lattices(X3)
| ~ v10_lattices(X3)
| ~ r1_tarski(X5,k5_finsub_1(X2))
| ~ r1_tarski(X4,k5_finsub_1(X2))
| ~ r1_tarski(X0,k7_lopclset(X3))
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_326385,c_345270]) ).
tcf(c_351739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X2)),X3)
| r1_tarski(sK28(k1_zfmisc_1(k4_xboole_0(X0,X2)),X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_326593,c_345270]) ).
tcf(c_351740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X1)
| r1_tarski(k5_finsub_1(k4_xboole_0(X0,X2)),k2_xboole_0(X4,X3))
| r1_tarski(sK25(k5_finsub_1(k4_xboole_0(X0,X2)),k2_xboole_0(X3,X4)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_330258,c_345270]) ).
tcf(c_351741,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(sK47(k1_zfmisc_1(k4_xboole_0(X0,X2))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_328444,c_345270]) ).
tcf(c_351742,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_xboole_0(k5_finsub_1(k4_xboole_0(X0,X2)),sK24)
| r1_tarski(sK47(k5_finsub_1(k4_xboole_0(X0,X2))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_347864,c_345270]) ).
tcf(c_351743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(k5_finsub_1(k4_xboole_0(X0,X2)),X3)
| r1_tarski(sK47(k5_finsub_1(k4_xboole_0(X0,X2))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_330228,c_345270]) ).
tcf(c_351744,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(X0,X2)),np__0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_328139,c_345270]) ).
tcf(c_351745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X3)
| r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,X2)))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),k4_xboole_0(X4,k4_xboole_0(X4,X2))),k1_zfmisc_1(u1_struct_0(X3)))
| ~ l3_lattices(X3)
| ~ v17_lattices(X3)
| ~ v10_lattices(X3)
| ~ r1_tarski(X0,k7_lopclset(X3))
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_331985,c_345270]) ).
tcf(c_351746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X4)
| r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X3,X2))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X3,X2)),k1_zfmisc_1(u1_struct_0(X4)))
| ~ l3_lattices(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| ~ r1_tarski(X0,k7_lopclset(X4))
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_331819,c_345270]) ).
tcf(c_351747,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r2_hidden(sK47(X1),X1)
| r1_tarski(sK24,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(sK24,k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_348622,c_345270]) ).
tcf(c_351748,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| m1_subset_1(sK47(X1),X1)
| r1_tarski(sK24,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(sK24,k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_348621,c_345270]) ).
tcf(c_351749,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_tarski(sK24,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(sK24,k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_348623,c_345270]) ).
tcf(c_351750,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),k7_lopclset(X1))
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347199,c_345270]) ).
tcf(c_351751,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1))
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),X0) ),
inference(superposition,[status(thm)],[c_347197,c_345270]) ).
tcf(c_351752,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| r1_tarski(sK24,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(sK24,X0)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_347071,c_345270]) ).
tcf(c_351754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X2)
| r1_tarski(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_tarski(X3,k4_xboole_0(X0,X1))
| ~ r1_tarski(k2_xboole_0(X0,X1),k7_lopclset(X2)) ),
inference(superposition,[status(thm)],[c_498,c_345270]) ).
tcf(c_351755,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_tarski(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(X1,np__0)
| ~ r1_tarski(np__0,k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_824,c_345270]) ).
tcf(c_351757,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,np__0)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_30376,c_345270]) ).
tcf(c_351758,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,np__0)
| ~ r1_tarski(k2_tarski(X0,X0),k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_1422,c_345270]) ).
tcf(c_351761,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_tarski(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(X1,sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_346604,c_345270]) ).
tcf(c_351762,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_tarski(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(X1,sK24)
| ~ r1_tarski(sK24,k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_346611,c_345270]) ).
tcf(c_351763,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_tarski(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(X1,sK47(u1_struct_0(sK23)))
| ~ r1_tarski(sK47(u1_struct_0(sK23)),k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_346612,c_345270]) ).
tcf(c_352226,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(np__0,k2_zfmisc_1(X0,X1))
| ~ r1_xboole_0(np__0,X0) ),
inference(superposition,[status(thm)],[c_161,c_2392]) ).
tcf(c_352227,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(np__0,k2_zfmisc_1(X1,X2))
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_162,c_2392]) ).
tcf(c_352228,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_zfmisc_1(X0,X1),np__0)
| ~ r1_xboole_0(X0,np__0) ),
inference(superposition,[status(thm)],[c_161,c_2392]) ).
tcf(c_352229,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_zfmisc_1(X0,X2),np__0)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_162,c_2392]) ).
tcf(c_352230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)) = k2_zfmisc_1(X0,X2) )
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_2392,c_2410]) ).
tcf(c_352231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X0,X3))
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_2392,c_2434]) ).
tcf(c_352232,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r1_xboole_0(X0,X0) ),
inference(superposition,[status(thm)],[c_2392,c_342500]) ).
tcf(c_352233,plain,
! [X0: $i,X1: $i] :
( ( k2_zfmisc_1(X0,X1) = np__0 )
| ~ r1_xboole_0(X0,X0) ),
inference(superposition,[status(thm)],[c_2392,c_2430]) ).
tcf(c_352246,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(np__0,k2_zfmisc_1(X2,X1))
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_161,c_2393]) ).
tcf(c_352247,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(np__0,k2_zfmisc_1(X1,X0))
| ~ r1_xboole_0(np__0,X0) ),
inference(superposition,[status(thm)],[c_162,c_2393]) ).
tcf(c_352248,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_zfmisc_1(X2,X0),np__0)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_161,c_2393]) ).
tcf(c_352249,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_zfmisc_1(X1,X0),np__0)
| ~ r1_xboole_0(X0,np__0) ),
inference(superposition,[status(thm)],[c_162,c_2393]) ).
tcf(c_352250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k4_xboole_0(k2_zfmisc_1(X2,X0),k2_zfmisc_1(X3,X1)) = k2_zfmisc_1(X2,X0) )
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_2393,c_2410]) ).
tcf(c_352251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k2_zfmisc_1(X2,X1),k2_zfmisc_1(X3,X0))
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_2393,c_2434]) ).
tcf(c_352252,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ r1_xboole_0(X0,X0) ),
inference(superposition,[status(thm)],[c_2393,c_342500]) ).
tcf(c_352253,plain,
! [X0: $i,X1: $i] :
( ( k2_zfmisc_1(X1,X0) = np__0 )
| ~ r1_xboole_0(X0,X0) ),
inference(superposition,[status(thm)],[c_2393,c_2430]) ).
tcf(c_352266,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(np__0),k2_tarski(X0,X0))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_919,c_2397]) ).
tcf(c_352267,plain,
! [X0: $i] :
( r1_xboole_0(k2_finseq_1(np__1),k2_tarski(X0,X0))
| ( X0 = np__1 ) ),
inference(superposition,[status(thm)],[c_1820,c_2397]) ).
tcf(c_352268,plain,
! [X0: $i] :
( r1_xboole_0(k2_tarski(X0,X0),k5_finsub_1(np__0))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_919,c_2397]) ).
tcf(c_352269,plain,
! [X0: $i] :
( r1_xboole_0(k2_tarski(X0,X0),k2_finseq_1(np__1))
| ( X0 = np__1 ) ),
inference(superposition,[status(thm)],[c_1820,c_2397]) ).
tcf(c_352271,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_tarski(X1,X1),k2_tarski(X0,X0))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_2397,c_2434]) ).
tcf(c_352289,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK47(X1),X1)
| r1_xboole_0(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_330860,c_2412]) ).
tcf(c_352290,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK47(X1),X1)
| r1_xboole_0(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_328923,c_2412]) ).
tcf(c_352291,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X1,k4_xboole_0(X0,X2))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_328924,c_2412]) ).
tcf(c_352292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X2,k4_xboole_0(X0,X3))
| r2_hidden(X1,k4_xboole_0(X0,X3))
| r1_xboole_0(X0,k4_xboole_0(k2_tarski(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_1400,c_2412]) ).
tcf(c_352293,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,k4_xboole_0(sK437(k4_xboole_0(X0,X1)),X1))
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_2389,c_2412]) ).
tcf(c_352294,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,k4_xboole_0(X0,X2))
| r1_xboole_0(X0,k4_xboole_0(k2_tarski(X1,X1),X2)) ),
inference(superposition,[status(thm)],[c_2395,c_2412]) ).
tcf(c_352295,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X2,k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2407,c_2412]) ).
tcf(c_352296,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X1,k4_xboole_0(X0,X2))
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_2413,c_2412]) ).
tcf(c_352297,plain,
! [X0: $i,X1: $i] : r1_xboole_0(X0,k4_xboole_0(k4_xboole_0(X1,X0),X1)),
inference(superposition,[status(thm)],[c_2411,c_2412]) ).
tcf(c_352298,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(X0,k4_xboole_0(k4_xboole_0(X1,k4_xboole_0(X0,X2)),X2)),
inference(superposition,[status(thm)],[c_2414,c_2412]) ).
tcf(c_352299,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X2,X1))
| r2_hidden(sK47(k4_xboole_0(X0,X1)),k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328946,c_2412]) ).
tcf(c_352300,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X2,X1))
| ~ v1_xboole_0(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_328947,c_2412]) ).
tcf(c_352301,plain,
! [X0: $i,X1: $i] : r1_xboole_0(X0,k4_xboole_0(np__0,X1)),
inference(superposition,[status(thm)],[c_324400,c_2412]) ).
tcf(c_352302,plain,
! [X0: $i,X1: $i] : r1_xboole_0(X0,k4_xboole_0(X1,X1)),
inference(superposition,[status(thm)],[c_325973,c_2412]) ).
tcf(c_352303,plain,
! [X0: $i,X1: $i] :
( r2_hidden(np__0,k4_xboole_0(X0,X1))
| r1_xboole_0(X0,k4_xboole_0(k5_finsub_1(np__0),X1)) ),
inference(superposition,[status(thm)],[c_328817,c_2412]) ).
tcf(c_352304,plain,
! [X0: $i,X1: $i] :
( r2_hidden(np__1,k4_xboole_0(X0,X1))
| r1_xboole_0(X0,k4_xboole_0(k2_finseq_1(np__1),X1)) ),
inference(superposition,[status(thm)],[c_328818,c_2412]) ).
tcf(c_352305,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X1))
| ~ r1_tarski(k4_xboole_0(X0,X1),sK24) ),
inference(superposition,[status(thm)],[c_347723,c_2412]) ).
tcf(c_352306,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X1,k4_xboole_0(X0,k2_xboole_0(X1,X2)))
| ~ r1_xboole_0(X0,np__0) ),
inference(superposition,[status(thm)],[c_492,c_2412]) ).
tcf(c_352307,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_xboole_0(X1,X2),k4_xboole_0(X0,X2))
| ~ r1_xboole_0(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_498,c_2412]) ).
tcf(c_352308,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(np__0,k4_xboole_0(X0,X1))
| ~ r1_xboole_0(X0,np__0) ),
inference(superposition,[status(thm)],[c_824,c_2412]) ).
tcf(c_352309,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,k4_xboole_0(X0,np__0))
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_825,c_2412]) ).
tcf(c_352310,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,k4_xboole_0(X0,X1))
| ~ r1_xboole_0(X0,np__0) ),
inference(superposition,[status(thm)],[c_30376,c_2412]) ).
tcf(c_352311,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_tarski(X1,X1),k4_xboole_0(X0,k2_tarski(X1,X2)))
| ~ r1_xboole_0(X0,np__0) ),
inference(superposition,[status(thm)],[c_1422,c_2412]) ).
tcf(c_352312,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_tarski(X1,X1),k4_xboole_0(X0,k2_tarski(X2,X1)))
| ~ r1_xboole_0(X0,np__0) ),
inference(superposition,[status(thm)],[c_1382,c_2412]) ).
tcf(c_352313,plain,
! [X0: $i] :
( r1_xboole_0(k5_numbers,k4_xboole_0(X0,k1_numbers))
| ~ r1_xboole_0(X0,np__0) ),
inference(superposition,[status(thm)],[c_337563,c_2412]) ).
tcf(c_352314,plain,
! [X0: $i] :
( r1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))
| ~ r1_xboole_0(X0,sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_346604,c_2412]) ).
tcf(c_352315,plain,
! [X0: $i] :
( r1_xboole_0(sK24,k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))
| ~ r1_xboole_0(X0,sK24) ),
inference(superposition,[status(thm)],[c_346611,c_2412]) ).
tcf(c_352316,plain,
! [X0: $i] :
( r1_xboole_0(sK47(u1_struct_0(sK23)),k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))
| ~ r1_xboole_0(X0,sK47(u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_346612,c_2412]) ).
tcf(c_352319,plain,
! [X0: $i] : r1_xboole_0(k5_numbers,k4_xboole_0(X0,k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_352313,c_2431]) ).
tcf(c_352331,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(X0,k4_xboole_0(X1,k2_xboole_0(X0,X2))),
inference(forward_subsumption_resolution,[status(thm)],[c_352306,c_2431]) ).
tcf(c_352340,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k2_tarski(X0,X0),k4_xboole_0(X1,k2_tarski(X2,X0))),
inference(forward_subsumption_resolution,[status(thm)],[c_352312,c_2431]) ).
tcf(c_352341,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k2_tarski(X0,X0),k4_xboole_0(X1,k2_tarski(X0,X2))),
inference(forward_subsumption_resolution,[status(thm)],[c_352311,c_2431]) ).
tcf(c_352444,plain,
r1_tarski(sK415,sK415),
inference(superposition,[status(thm)],[c_351300,c_93114]) ).
tcf(c_352453,plain,
~ r2_hidden(k5_finsub_1(sK415),np__0),
inference(superposition,[status(thm)],[c_351305,c_196]) ).
tcf(c_352461,plain,
! [X0: $i] :
( r1_xboole_0(sK24,k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))
| ~ r1_xboole_0(k2_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_498,c_352315]) ).
tcf(c_352462,plain,
( r1_xboole_0(sK24,np__0)
| ~ r1_xboole_0(np__0,sK24) ),
inference(superposition,[status(thm)],[c_824,c_352315]) ).
tcf(c_352463,plain,
( r1_xboole_0(sK24,np__0)
| ~ r1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),sK24) ),
inference(superposition,[status(thm)],[c_30376,c_352315]) ).
tcf(c_352467,plain,
( r1_xboole_0(sK24,sK47(u1_struct_0(sK23)))
| ~ r1_xboole_0(sK47(u1_struct_0(sK23)),sK24) ),
inference(superposition,[status(thm)],[c_346612,c_352315]) ).
tcf(c_352468,plain,
! [X0: $i] :
( ( k4_xboole_0(sK24,k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))) = sK24 )
| ~ r1_xboole_0(X0,sK24) ),
inference(superposition,[status(thm)],[c_352315,c_2410]) ).
tcf(c_352469,plain,
! [X0: $i] :
( r1_xboole_0(k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24)
| ~ r1_xboole_0(X0,sK24) ),
inference(superposition,[status(thm)],[c_352315,c_2434]) ).
tcf(c_352470,plain,
! [X0: $i] :
( r1_xboole_0(X0,k4_xboole_0(sK24,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))
| ~ r1_xboole_0(X0,sK24) ),
inference(superposition,[status(thm)],[c_352315,c_2412]) ).
tcf(c_352484,plain,
! [X0: $i] :
( r1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))
| ~ r1_xboole_0(k2_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_498,c_352314]) ).
tcf(c_352485,plain,
( r1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),np__0)
| ~ r1_xboole_0(np__0,sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_824,c_352314]) ).
tcf(c_352486,plain,
( r1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),np__0)
| ~ r1_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_30376,c_352314]) ).
tcf(c_352490,plain,
! [X0: $i] :
( ( k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))) = sK47(a_2_0_lopclset(sK23,sK24)) )
| ~ r1_xboole_0(X0,sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_352314,c_2410]) ).
tcf(c_352491,plain,
! [X0: $i] :
( r1_xboole_0(k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_xboole_0(X0,sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_352314,c_2434]) ).
tcf(c_352492,plain,
! [X0: $i] :
( r1_xboole_0(X0,k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))
| ~ r1_xboole_0(X0,sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_352314,c_2412]) ).
tcf(c_352513,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k4_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X1)))
| ~ r1_tarski(X0,sK24) ),
inference(superposition,[status(thm)],[c_348629,c_97]) ).
tcf(c_352514,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k4_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X1)))
| ~ r2_hidden(X0,sK24) ),
inference(superposition,[status(thm)],[c_348629,c_104]) ).
tcf(c_352515,plain,
! [X0: $i] :
( v1_xboole_0(sK24)
| ~ r1_xboole_0(sK24,k4_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0))) ),
inference(superposition,[status(thm)],[c_348629,c_2426]) ).
tcf(c_352516,plain,
! [X0: $i] : k4_xboole_0(sK24,k4_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0))) = np__0,
inference(superposition,[status(thm)],[c_348629,c_817]) ).
tcf(c_352517,plain,
! [X0: $i] : k2_xboole_0(sK24,k4_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0))) = k4_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)),
inference(superposition,[status(thm)],[c_348629,c_513]) ).
tcf(c_352518,plain,
! [X0: $i] :
( v1_membered(sK24)
| ~ v1_membered(k4_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0))) ),
inference(superposition,[status(thm)],[c_348629,c_2460]) ).
tcf(c_352519,plain,
! [X0: $i] :
( v1_finset_1(sK24)
| ~ v1_finset_1(k4_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0))) ),
inference(superposition,[status(thm)],[c_348629,c_872]) ).
tcf(c_352520,plain,
! [X0: $i] :
( v1_relat_1(sK24)
| ~ v1_relat_1(k4_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0))) ),
inference(superposition,[status(thm)],[c_348629,c_70]) ).
tcf(c_352521,plain,
! [X0: $i] : ~ r2_hidden(k4_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)),sK24),
inference(superposition,[status(thm)],[c_348629,c_69]) ).
tcf(c_352522,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK24)
| m1_subset_1(sK25(X0,sK24),X0)
| ~ r1_tarski(X0,k4_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X1))) ),
inference(superposition,[status(thm)],[c_348629,c_97752]) ).
tcf(c_352523,plain,
! [X0: $i] :
( v3_realset2(X0)
| r1_tarski(sK24,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(sK24,k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_348629,c_345270]) ).
tcf(c_352547,plain,
! [X0: $i] :
( r1_tarski(X0,k4_xboole_0(sK24,sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))))
| ~ r1_tarski(X0,sK24) ),
inference(superposition,[status(thm)],[c_348638,c_97]) ).
tcf(c_352548,plain,
! [X0: $i] :
( r2_hidden(X0,k4_xboole_0(sK24,sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))))
| ~ r2_hidden(X0,sK24) ),
inference(superposition,[status(thm)],[c_348638,c_104]) ).
tcf(c_352549,plain,
( v1_xboole_0(sK24)
| ~ r1_xboole_0(sK24,k4_xboole_0(sK24,sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_348638,c_2426]) ).
tcf(c_352550,plain,
k4_xboole_0(sK24,k4_xboole_0(sK24,sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) = np__0,
inference(superposition,[status(thm)],[c_348638,c_817]) ).
tcf(c_352551,plain,
k2_xboole_0(sK24,k4_xboole_0(sK24,sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) = k4_xboole_0(sK24,sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),
inference(superposition,[status(thm)],[c_348638,c_513]) ).
tcf(c_352552,plain,
( v1_membered(sK24)
| ~ v1_membered(k4_xboole_0(sK24,sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_348638,c_2460]) ).
tcf(c_352553,plain,
( v1_finset_1(sK24)
| ~ v1_finset_1(k4_xboole_0(sK24,sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_348638,c_872]) ).
tcf(c_352554,plain,
( v1_relat_1(sK24)
| ~ v1_relat_1(k4_xboole_0(sK24,sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_348638,c_70]) ).
tcf(c_352555,plain,
~ r2_hidden(k4_xboole_0(sK24,sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),sK24),
inference(superposition,[status(thm)],[c_348638,c_69]) ).
tcf(c_352556,plain,
! [X0: $i] :
( r1_tarski(X0,sK24)
| m1_subset_1(sK25(X0,sK24),X0)
| ~ r1_tarski(X0,k4_xboole_0(sK24,sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_348638,c_97752]) ).
tcf(c_352587,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| m1_subset_1(sK47(X1),X1)
| r1_tarski(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_328348,c_345271]) ).
tcf(c_352588,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r2_hidden(sK47(X1),X1)
| r1_tarski(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326624,c_345271]) ).
tcf(c_352589,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_tarski(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326591,c_345271]) ).
tcf(c_352590,plain,
! [X0: $i] :
( v3_realset2(X0)
| r1_tarski(np__0,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_96,c_345271]) ).
tcf(c_352591,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_tarski(k4_xboole_0(k7_lopclset(X0),X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_101,c_345271]) ).
tcf(c_352592,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(k2_tarski(X0,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,k4_xboole_0(k7_lopclset(X1),X2)) ),
inference(superposition,[status(thm)],[c_281,c_345271]) ).
tcf(c_352593,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X0)
| r1_tarski(k2_relat_1(sK89(k4_xboole_0(k7_lopclset(X0),X1),X2)),k1_zfmisc_1(u1_struct_0(X0)))
| ( k4_xboole_0(k7_lopclset(X0),X1) = np__0 )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_406,c_345271]) ).
tcf(c_352594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(k4_xboole_0(X0,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k4_xboole_0(k7_lopclset(X1),X2)) ),
inference(superposition,[status(thm)],[c_812,c_345271]) ).
tcf(c_352595,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X0)
| r1_tarski(k4_xboole_0(k4_xboole_0(k7_lopclset(X0),X1),X2),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_819,c_345271]) ).
tcf(c_352596,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X2)
| r1_tarski(k4_xboole_0(k7_lopclset(X2),X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_821,c_345271]) ).
tcf(c_352598,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X0)
| r1_tarski(k7_relat_1(k4_xboole_0(k7_lopclset(X0),X1),X2),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_relat_1(k4_xboole_0(k7_lopclset(X0),X1)) ),
inference(superposition,[status(thm)],[c_2269,c_345271]) ).
tcf(c_352599,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X0)
| r1_tarski(k1_relat_1(k7_relat_1(X1,k4_xboole_0(k7_lopclset(X0),X2))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_relat_1(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_2270,c_345271]) ).
tcf(c_352600,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| v1_xboole_0(k4_xboole_0(k7_lopclset(X0),X1))
| r1_tarski(sK53(k4_xboole_0(k7_lopclset(X0),X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326377,c_345271]) ).
tcf(c_352601,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| v1_xboole_0(k4_xboole_0(k7_lopclset(X0),X1))
| r1_tarski(sK210(k4_xboole_0(k7_lopclset(X0),X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326378,c_345271]) ).
tcf(c_352602,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| v1_xboole_0(k4_xboole_0(k7_lopclset(X0),X1))
| r1_tarski(sK211(k4_xboole_0(k7_lopclset(X0),X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326379,c_345271]) ).
tcf(c_352603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X3,X0)
| r1_tarski(sK26(k5_finsub_1(k4_xboole_0(k7_lopclset(X1),X2)),X3,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X3,k5_finsub_1(k4_xboole_0(k7_lopclset(X1),X2)))
| ~ r1_tarski(X0,k5_finsub_1(k4_xboole_0(k7_lopclset(X1),X2))) ),
inference(superposition,[status(thm)],[c_323884,c_345271]) ).
tcf(c_352604,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_tarski(sK29(k5_finsub_1(k4_xboole_0(k7_lopclset(X0),X1))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_323947,c_345271]) ).
tcf(c_352605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X0)
| r1_tarski(k5_finsub_1(k4_xboole_0(k7_lopclset(X0),X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_tarski(sK25(k5_finsub_1(k4_xboole_0(k7_lopclset(X0),X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(k5_finsub_1(k4_xboole_0(k7_lopclset(X0),X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_327049,c_345271]) ).
tcf(c_352606,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_tarski(sK47(k5_finsub_1(X1)),X1)
| r1_tarski(k5_finsub_1(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_330228,c_345271]) ).
tcf(c_352607,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X0)
| r1_tarski(k4_xboole_0(X1,k4_xboole_0(X1,k4_xboole_0(k7_lopclset(X0),X2))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_324338,c_345271]) ).
tcf(c_352608,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| v1_xboole_0(k4_xboole_0(k7_lopclset(X0),X1))
| r1_tarski(sK207(k4_xboole_0(k7_lopclset(X0),X1)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_325276,c_345271]) ).
tcf(c_352609,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X0)
| r1_tarski(k5_finsub_1(k4_xboole_0(k7_lopclset(X0),X1)),X2)
| r1_tarski(sK25(k5_finsub_1(k4_xboole_0(k7_lopclset(X0),X1)),X2),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_328506,c_345271]) ).
tcf(c_352610,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_tarski(sK29(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326374,c_345271]) ).
tcf(c_352611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X3,X0)
| r1_tarski(sK26(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X1),X2)),X3,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X3,k1_zfmisc_1(k4_xboole_0(k7_lopclset(X1),X2)))
| ~ r1_tarski(X0,k1_zfmisc_1(k4_xboole_0(k7_lopclset(X1),X2))) ),
inference(superposition,[status(thm)],[c_326381,c_345271]) ).
tcf(c_352612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X0)
| r1_tarski(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3))))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_328021,c_345271]) ).
tcf(c_352613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X0)
| r1_tarski(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_326382,c_345271]) ).
tcf(c_352614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X0)
| r1_tarski(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X3,X2))))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X3)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_327861,c_345271]) ).
tcf(c_352615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X0)
| r1_tarski(X4,X3)
| r1_tarski(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),sK26(k5_finsub_1(X2),X4,X3))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),sK26(k5_finsub_1(X2),X4,X3)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(X4,k5_finsub_1(X2))
| ~ r1_tarski(X3,k5_finsub_1(X2))
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),X2) ),
inference(superposition,[status(thm)],[c_326385,c_345271]) ).
tcf(c_352616,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X0)
| r1_tarski(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),X2)
| r1_tarski(sK28(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),X2),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_326593,c_345271]) ).
tcf(c_352617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X0)
| r1_tarski(k5_finsub_1(k4_xboole_0(k7_lopclset(X0),X1)),k2_xboole_0(X3,X2))
| r1_tarski(sK25(k5_finsub_1(k4_xboole_0(k7_lopclset(X0),X1)),k2_xboole_0(X2,X3)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_330258,c_345271]) ).
tcf(c_352618,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_tarski(sK47(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_328444,c_345271]) ).
tcf(c_352619,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_xboole_0(k5_finsub_1(k4_xboole_0(k7_lopclset(X0),X1)),sK24)
| r1_tarski(sK47(k5_finsub_1(k4_xboole_0(k7_lopclset(X0),X1))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_347864,c_345271]) ).
tcf(c_352620,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X0)
| r1_tarski(k5_finsub_1(k4_xboole_0(k7_lopclset(X0),X1)),X2)
| r1_tarski(sK47(k5_finsub_1(k4_xboole_0(k7_lopclset(X0),X1))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_330228,c_345271]) ).
tcf(c_352621,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),np__0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_328139,c_345271]) ).
tcf(c_352622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X0)
| r1_tarski(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),k4_xboole_0(X3,k4_xboole_0(X3,X2)))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),k4_xboole_0(X3,k4_xboole_0(X3,X2))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),X2) ),
inference(superposition,[status(thm)],[c_331985,c_345271]) ).
tcf(c_352623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X0)
| r1_tarski(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),k2_xboole_0(X3,X2))
| r1_tarski(sK25(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),k2_xboole_0(X3,X2)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(k1_zfmisc_1(k4_xboole_0(k7_lopclset(X0),X1)),k2_xboole_0(X2,X3)) ),
inference(superposition,[status(thm)],[c_331819,c_345271]) ).
tcf(c_352624,plain,
! [X0: $i] :
( v3_realset2(X0)
| r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_347197,c_345271]) ).
tcf(c_352979,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| m1_subset_1(sK47(k4_xboole_0(X0,k4_xboole_0(X0,X1))),k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_330860,c_2418]) ).
tcf(c_352980,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK47(k4_xboole_0(X0,k4_xboole_0(X0,X1))),k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_328923,c_2418]) ).
tcf(c_352981,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ~ v1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_328924,c_2418]) ).
tcf(c_352982,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X1,X2))
| ~ r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,X2))),X2) ),
inference(superposition,[status(thm)],[c_2407,c_2418]) ).
tcf(c_352983,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X1,X2))
| ~ r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,X2))),X1) ),
inference(superposition,[status(thm)],[c_2413,c_2418]) ).
tcf(c_352987,plain,
! [X0: $i] :
( r1_xboole_0(X0,k5_finsub_1(np__0))
| r2_hidden(np__0,k4_xboole_0(X0,k4_xboole_0(X0,k5_finsub_1(np__0)))) ),
inference(superposition,[status(thm)],[c_330815,c_2418]) ).
tcf(c_352988,plain,
! [X0: $i] :
( r1_xboole_0(X0,k2_finseq_1(np__1))
| r2_hidden(np__1,k4_xboole_0(X0,k4_xboole_0(X0,k2_finseq_1(np__1)))) ),
inference(superposition,[status(thm)],[c_330824,c_2418]) ).
tcf(c_352989,plain,
! [X0: $i] :
( r1_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| ~ r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) ),
inference(superposition,[status(thm)],[c_347037,c_2418]) ).
tcf(c_352990,plain,
! [X0: $i] :
( r1_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347163,c_2418]) ).
tcf(c_352993,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,k2_xboole_0(X0,X1))
| ~ r1_xboole_0(k4_xboole_0(X0,np__0),k2_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_492,c_2418]) ).
tcf(c_352994,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_xboole_0(X0,X1),X1)
| ~ r1_xboole_0(k4_xboole_0(k2_xboole_0(X0,X1),k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_498,c_2418]) ).
tcf(c_352997,plain,
! [X0: $i] :
( r1_xboole_0(X0,X0)
| ~ r1_xboole_0(k4_xboole_0(X0,np__0),X0) ),
inference(superposition,[status(thm)],[c_30376,c_2418]) ).
tcf(c_352998,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X1))
| ~ r1_xboole_0(k4_xboole_0(k2_tarski(X0,X0),np__0),k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1422,c_2418]) ).
tcf(c_352999,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X0))
| ~ r1_xboole_0(k4_xboole_0(k2_tarski(X0,X0),np__0),k2_tarski(X1,X0)) ),
inference(superposition,[status(thm)],[c_1382,c_2418]) ).
tcf(c_353000,plain,
( r1_xboole_0(k5_numbers,k1_numbers)
| ~ r1_xboole_0(k4_xboole_0(k5_numbers,np__0),k1_numbers) ),
inference(superposition,[status(thm)],[c_337563,c_2418]) ).
tcf(c_353004,plain,
~ r1_xboole_0(k4_xboole_0(k5_numbers,np__0),k1_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_353000,c_342592]) ).
tcf(c_353090,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X2,X1)
| m1_subset_1(sK47(X2),X2)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_328348,c_2433]) ).
tcf(c_353091,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X2,X1)
| r2_hidden(sK47(X2),X2)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_326624,c_2433]) ).
tcf(c_353092,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X2,X1)
| ~ v1_xboole_0(X2)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_326591,c_2433]) ).
tcf(c_353093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k2_zfmisc_1(X3,X1),X2)
| ~ r1_tarski(X3,X0)
| ~ r1_xboole_0(k2_zfmisc_1(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_85,c_2433]) ).
tcf(c_353094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k2_zfmisc_1(X0,X3),X2)
| ~ r1_tarski(X3,X1)
| ~ r1_xboole_0(k2_zfmisc_1(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_86,c_2433]) ).
tcf(c_353095,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k1_zfmisc_1(X2),X1)
| ~ r1_tarski(X2,X0)
| ~ r1_xboole_0(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_90,c_2433]) ).
tcf(c_353096,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(np__0,X1)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_2433]) ).
tcf(c_353098,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_tarski(X0,X0),X1)
| ~ r1_xboole_0(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_263,c_2433]) ).
tcf(c_353099,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_tarski(X0,X0),X2)
| ~ r1_xboole_0(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_281,c_2433]) ).
tcf(c_353100,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_relat_1(sK89(X0,X2)),X1)
| ( X0 = np__0 )
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_406,c_2433]) ).
tcf(c_353101,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_430,c_2433]) ).
tcf(c_353102,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)),X2)
| ~ r1_xboole_0(k5_finsub_1(k2_xboole_0(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_463,c_2433]) ).
tcf(c_353103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X3,X2)
| ~ m1_relset_1(X3,X0,X1)
| ~ r1_xboole_0(k2_zfmisc_1(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1063,c_2433]) ).
tcf(c_353104,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_zfmisc_1(X0,X1),X2)
| ~ r1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1))),X2) ),
inference(superposition,[status(thm)],[c_483,c_2433]) ).
tcf(c_353105,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)),X2)
| ~ r1_xboole_0(k1_zfmisc_1(k2_xboole_0(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_485,c_2433]) ).
tcf(c_353106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X3,X2)
| ~ r1_tarski(X3,X1)
| ~ r1_xboole_0(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_515,c_2433]) ).
tcf(c_353107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k2_xboole_0(X3,X1),X2)
| ~ r1_tarski(X3,X0)
| ~ r1_xboole_0(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_516,c_2433]) ).
tcf(c_353108,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X2)
| ~ r1_xboole_0(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_518,c_2433]) ).
tcf(c_353109,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK115(X0),X0)
| ~ r1_xboole_0(k2_zfmisc_1(sK116(X0),sK117(X0)),X1) ),
inference(superposition,[status(thm)],[c_556,c_2433]) ).
tcf(c_353110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k4_xboole_0(X0,X3),X2)
| ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_812,c_2433]) ).
tcf(c_353111,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k4_xboole_0(X0,X2),X1)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_819,c_2433]) ).
tcf(c_353112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k4_xboole_0(X0,X3),X2)
| ~ r1_tarski(X1,X3)
| ~ r1_xboole_0(k4_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_821,c_2433]) ).
tcf(c_353113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k4_xboole_0(X3,X1),X2)
| ~ r1_tarski(X3,X0)
| ~ r1_xboole_0(k4_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_822,c_2433]) ).
tcf(c_353114,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(X0),X1)
| ~ r1_xboole_0(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_920,c_2433]) ).
tcf(c_353115,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k5_finsub_1(X2),X1)
| ~ r1_tarski(X2,X0)
| ~ r1_xboole_0(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_922,c_2433]) ).
tcf(c_353116,plain,
! [X0: $i] :
( r1_xboole_0(k5_numbers,X0)
| ~ r1_xboole_0(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_1091,c_2433]) ).
tcf(c_353119,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k1_card_1(X2),X1)
| ~ r1_tarski(X2,X0)
| ~ r1_xboole_0(k1_card_1(X0),X1) ),
inference(superposition,[status(thm)],[c_1307,c_2433]) ).
tcf(c_353120,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_tarski(X0,X0),X2)
| ~ r1_xboole_0(k2_tarski(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1425,c_2433]) ).
tcf(c_353121,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_tarski(X1,X1),X2)
| ~ r1_xboole_0(k2_tarski(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1408,c_2433]) ).
tcf(c_353122,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k1_relat_1(k7_relat_1(X0,X2)),X1)
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k1_relat_1(X0),X1) ),
inference(superposition,[status(thm)],[c_2268,c_2433]) ).
tcf(c_353123,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_relat_1(k7_relat_1(X0,X2)),X1)
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k2_relat_1(X0),X1) ),
inference(superposition,[status(thm)],[c_2260,c_2433]) ).
tcf(c_353124,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k7_relat_1(X0,X2),X1)
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_2269,c_2433]) ).
tcf(c_353125,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k1_relat_1(k7_relat_1(X2,X0)),X1)
| ~ v1_relat_1(X2)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_2270,c_2433]) ).
tcf(c_353126,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k10_relat_1(X0,X2),X1)
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k10_relat_1(X0,k2_relat_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_2322,c_2433]) ).
tcf(c_353127,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k10_relat_1(X0,X2),X1)
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k1_relat_1(X0),X1) ),
inference(superposition,[status(thm)],[c_2325,c_2433]) ).
tcf(c_353128,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k9_relat_1(X0,X2),X1)
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k9_relat_1(X0,k1_relat_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_2364,c_2433]) ).
tcf(c_353129,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k9_relat_1(X0,X2),X1)
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k2_relat_1(X0),X1) ),
inference(superposition,[status(thm)],[c_2367,c_2433]) ).
tcf(c_353130,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_xboole_0(k7_lopclset(X0),X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_326375,c_2433]) ).
tcf(c_353131,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| r1_xboole_0(sK53(X0),X1)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_326377,c_2433]) ).
tcf(c_353132,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X1,X2)
| ~ r1_xboole_0(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_326993,c_2433]) ).
tcf(c_353133,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| r1_xboole_0(sK210(X0),X1)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_326378,c_2433]) ).
tcf(c_353134,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| r1_xboole_0(sK211(X0),X1)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_326379,c_2433]) ).
tcf(c_353135,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_finseq_1(X1),X0)
| ~ v4_ordinal2(X1)
| ~ r1_xboole_0(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_328268,c_2433]) ).
tcf(c_353136,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k1_zfmisc_1(k4_xboole_0(X0,X1)),X2)
| ~ r1_xboole_0(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),X2) ),
inference(superposition,[status(thm)],[c_33271,c_2433]) ).
tcf(c_353137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(X1,X0))),X2)
| ~ r1_xboole_0(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_34474,c_2433]) ).
tcf(c_353138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X0)
| r1_xboole_0(sK26(k5_finsub_1(X1),X2,X0),X3)
| ~ r1_xboole_0(X1,X3)
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_323884,c_2433]) ).
tcf(c_353139,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK29(k5_finsub_1(X0)),X1)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_323947,c_2433]) ).
tcf(c_353140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X1))))
| r1_xboole_0(sK25(k5_finsub_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X1,X2)))),X3)
| ~ r1_xboole_0(X0,X3)
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_327049,c_2433]) ).
tcf(c_353141,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k5_finsub_1(X2),X1)
| r1_tarski(sK47(k5_finsub_1(X2)),X2)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_330228,c_2433]) ).
tcf(c_353142,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k4_xboole_0(X2,k4_xboole_0(X2,X0)),X1)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_324338,c_2433]) ).
tcf(c_353143,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| r1_xboole_0(sK207(X0),X1)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_325276,c_2433]) ).
tcf(c_353144,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(np__0),X1)
| ~ r1_xboole_0(k2_tarski(X0,np__0),X1) ),
inference(superposition,[status(thm)],[c_325482,c_2433]) ).
tcf(c_353145,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(np__0),X1)
| ~ r1_xboole_0(k2_tarski(np__0,X0),X1) ),
inference(superposition,[status(thm)],[c_325488,c_2433]) ).
tcf(c_353146,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_finseq_1(np__1),X1)
| ~ r1_xboole_0(k2_tarski(np__1,X0),X1) ),
inference(superposition,[status(thm)],[c_325615,c_2433]) ).
tcf(c_353147,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_finseq_1(np__1),X1)
| ~ r1_xboole_0(k2_tarski(X0,np__1),X1) ),
inference(superposition,[status(thm)],[c_325616,c_2433]) ).
tcf(c_353148,plain,
! [X0: $i] :
( r1_xboole_0(k2_finseq_1(np__1),X0)
| ~ r1_xboole_0(k1_zfmisc_1(np__1),X0) ),
inference(superposition,[status(thm)],[c_325618,c_2433]) ).
tcf(c_353149,plain,
! [X0: $i] :
( r1_xboole_0(k2_tarski(np__2,np__2),X0)
| ~ r1_xboole_0(k2_finseq_1(np__2),X0) ),
inference(superposition,[status(thm)],[c_325630,c_2433]) ).
tcf(c_353150,plain,
! [X0: $i] :
( r1_xboole_0(k2_finseq_1(np__1),X0)
| ~ r1_xboole_0(k2_finseq_1(np__2),X0) ),
inference(superposition,[status(thm)],[c_325633,c_2433]) ).
tcf(c_353151,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_xboole_0(X1,X0),X2)
| ~ r1_xboole_0(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_326816,c_2433]) ).
tcf(c_353152,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),X2)
| r1_xboole_0(sK25(k5_finsub_1(X0),X2),X1)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_328506,c_2433]) ).
tcf(c_353153,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK29(k1_zfmisc_1(X0)),X1)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_326374,c_2433]) ).
tcf(c_353154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X0)
| r1_xboole_0(sK26(k1_zfmisc_1(X1),X2,X0),X3)
| ~ r1_xboole_0(X1,X3)
| ~ r1_tarski(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_326381,c_2433]) ).
tcf(c_353155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X1,X2))))
| r1_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X1)))),X3)
| ~ r1_xboole_0(X0,X3)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_328021,c_2433]) ).
tcf(c_353156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X1))))
| r1_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X1)))),X3)
| ~ r1_xboole_0(X0,X3)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_326382,c_2433]) ).
tcf(c_353157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X2,X1))))
| r1_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X4,k4_xboole_0(X4,k2_xboole_0(X1,X2)))),X3)
| ~ r1_xboole_0(X0,X3)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_327861,c_2433]) ).
tcf(c_353158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X3,X2)
| r1_tarski(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2))
| r1_xboole_0(sK25(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X3,X2)),X4)
| ~ r1_xboole_0(X0,X4)
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_326385,c_2433]) ).
tcf(c_353159,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X0)
| r1_xboole_0(X2,X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(X2,k7_lopclset(X0))
| ~ r1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_343633,c_2433]) ).
tcf(c_353160,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),X2)
| r1_xboole_0(sK28(k1_zfmisc_1(X0),X2),X1)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_326593,c_2433]) ).
tcf(c_353161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X3,X2))
| r1_xboole_0(sK25(k5_finsub_1(X0),k2_xboole_0(X2,X3)),X1)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_330258,c_2433]) ).
tcf(c_353162,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK47(k1_zfmisc_1(X0)),X1)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_328444,c_2433]) ).
tcf(c_353163,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(X0),sK24)
| r1_xboole_0(sK47(k5_finsub_1(X0)),X1)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_347864,c_2433]) ).
tcf(c_353164,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),X2)
| r1_xboole_0(sK47(k5_finsub_1(X0)),X1)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_330228,c_2433]) ).
tcf(c_353165,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK25(k1_zfmisc_1(X0),np__0),X1)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_328139,c_2433]) ).
tcf(c_353166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,X1)))
| r1_xboole_0(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,X1))),X2)
| ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_331985,c_2433]) ).
tcf(c_353167,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(np__0),X1)
| r1_xboole_0(sK28(k5_finsub_1(np__0),X1),X0)
| ~ r1_xboole_0(np__0,X0) ),
inference(superposition,[status(thm)],[c_328382,c_2433]) ).
tcf(c_353168,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(np__0),X1)
| ~ r1_xboole_0(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_329271,c_2433]) ).
tcf(c_353169,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k1_zfmisc_1(X1),X0)
| ~ r1_tarski(X1,np__0)
| ~ r1_xboole_0(k5_finsub_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_329264,c_2433]) ).
tcf(c_353170,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_zfmisc_1(X1,X0),X2)
| ~ r1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1))),X2) ),
inference(superposition,[status(thm)],[c_330379,c_2433]) ).
tcf(c_353171,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_zfmisc_1(X0,X0),X1)
| ~ r1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_330378,c_2433]) ).
tcf(c_353172,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_zfmisc_1(X0,k4_xboole_0(X0,X2)),X1)
| ~ r1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_330381,c_2433]) ).
tcf(c_353173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X1,X3)
| ~ r1_xboole_0(k2_xboole_0(X0,k2_xboole_0(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_330474,c_2433]) ).
tcf(c_353174,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(np__0),X0)
| ~ r1_xboole_0(k5_finsub_1(sK205),X0) ),
inference(superposition,[status(thm)],[c_331184,c_2433]) ).
tcf(c_353175,plain,
! [X0: $i] :
( r1_xboole_0(sK47(k5_finsub_1(sK205)),X0)
| ~ r1_xboole_0(sK205,X0) ),
inference(superposition,[status(thm)],[c_331190,c_2433]) ).
tcf(c_353176,plain,
! [X0: $i] :
( r1_xboole_0(k2_tarski(sK205,sK205),X0)
| ~ r1_xboole_0(k5_finsub_1(sK205),X0) ),
inference(superposition,[status(thm)],[c_331212,c_2433]) ).
tcf(c_353177,plain,
! [X0: $i] :
( r1_xboole_0(sK53(sK205),X0)
| ~ r1_xboole_0(sK205,X0) ),
inference(superposition,[status(thm)],[c_331347,c_2433]) ).
tcf(c_353178,plain,
! [X0: $i] :
( r1_xboole_0(sK210(sK205),X0)
| ~ r1_xboole_0(sK205,X0) ),
inference(superposition,[status(thm)],[c_331361,c_2433]) ).
tcf(c_353179,plain,
! [X0: $i] :
( r1_xboole_0(sK211(sK205),X0)
| ~ r1_xboole_0(sK205,X0) ),
inference(superposition,[status(thm)],[c_331375,c_2433]) ).
tcf(c_353180,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(np__0),X0)
| ~ r1_xboole_0(k5_finsub_1(sK212),X0) ),
inference(superposition,[status(thm)],[c_331593,c_2433]) ).
tcf(c_353181,plain,
! [X0: $i] :
( r1_xboole_0(sK47(k5_finsub_1(sK212)),X0)
| ~ r1_xboole_0(sK212,X0) ),
inference(superposition,[status(thm)],[c_331599,c_2433]) ).
tcf(c_353182,plain,
! [X0: $i] :
( r1_xboole_0(k2_tarski(sK212,sK212),X0)
| ~ r1_xboole_0(k5_finsub_1(sK212),X0) ),
inference(superposition,[status(thm)],[c_331621,c_2433]) ).
tcf(c_353183,plain,
! [X0: $i] :
( r1_xboole_0(sK53(sK212),X0)
| ~ r1_xboole_0(sK212,X0) ),
inference(superposition,[status(thm)],[c_331939,c_2433]) ).
tcf(c_353184,plain,
! [X0: $i] :
( r1_xboole_0(sK210(sK212),X0)
| ~ r1_xboole_0(sK212,X0) ),
inference(superposition,[status(thm)],[c_331954,c_2433]) ).
tcf(c_353185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,X1))
| r1_xboole_0(sK25(k1_zfmisc_1(X0),k2_xboole_0(X2,X1)),X3)
| ~ r1_xboole_0(X0,X3)
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_331819,c_2433]) ).
tcf(c_353186,plain,
! [X0: $i] :
( r1_xboole_0(sK211(sK212),X0)
| ~ r1_xboole_0(sK212,X0) ),
inference(superposition,[status(thm)],[c_331969,c_2433]) ).
tcf(c_353187,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(np__0),X0)
| ~ r1_xboole_0(k5_finsub_1(sK413),X0) ),
inference(superposition,[status(thm)],[c_333098,c_2433]) ).
tcf(c_353188,plain,
! [X0: $i] :
( r1_xboole_0(sK47(k5_finsub_1(sK413)),X0)
| ~ r1_xboole_0(sK413,X0) ),
inference(superposition,[status(thm)],[c_333104,c_2433]) ).
tcf(c_353189,plain,
! [X0: $i] :
( r1_xboole_0(k2_tarski(sK413,sK413),X0)
| ~ r1_xboole_0(k5_finsub_1(sK413),X0) ),
inference(superposition,[status(thm)],[c_333125,c_2433]) ).
tcf(c_353190,plain,
! [X0: $i] :
( r1_xboole_0(sK53(sK413),X0)
| ~ r1_xboole_0(sK413,X0) ),
inference(superposition,[status(thm)],[c_334147,c_2433]) ).
tcf(c_353191,plain,
! [X0: $i] :
( r1_xboole_0(sK210(sK413),X0)
| ~ r1_xboole_0(sK413,X0) ),
inference(superposition,[status(thm)],[c_334414,c_2433]) ).
tcf(c_353192,plain,
! [X0: $i] :
( r1_xboole_0(sK211(sK413),X0)
| ~ r1_xboole_0(sK413,X0) ),
inference(superposition,[status(thm)],[c_334452,c_2433]) ).
tcf(c_353193,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_numbers,X1)
| ~ r1_xboole_0(k2_xboole_0(X0,k1_numbers),X1) ),
inference(superposition,[status(thm)],[c_341107,c_2433]) ).
tcf(c_353194,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_numbers,X1)
| ~ r1_xboole_0(k2_xboole_0(k1_numbers,X0),X1) ),
inference(superposition,[status(thm)],[c_341360,c_2433]) ).
tcf(c_353195,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k4_xboole_0(k5_numbers,X1),X0)
| ~ r1_xboole_0(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_345817,c_2433]) ).
tcf(c_353196,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK24,X1)
| r2_hidden(sK47(X0),X0)
| ~ r1_xboole_0(k4_xboole_0(sK24,X0),X1) ),
inference(superposition,[status(thm)],[c_348622,c_2433]) ).
tcf(c_353197,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK24,X1)
| m1_subset_1(sK47(X0),X0)
| ~ r1_xboole_0(k4_xboole_0(sK24,X0),X1) ),
inference(superposition,[status(thm)],[c_348621,c_2433]) ).
tcf(c_353198,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK24,X1)
| ~ v1_xboole_0(X0)
| ~ r1_xboole_0(k4_xboole_0(sK24,X0),X1) ),
inference(superposition,[status(thm)],[c_348623,c_2433]) ).
tcf(c_353199,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X1)
| ~ r1_xboole_0(k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0),X1)
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347199,c_2433]) ).
tcf(c_353200,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X1)
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),X0)
| ~ r1_xboole_0(k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),X1) ),
inference(superposition,[status(thm)],[c_347197,c_2433]) ).
tcf(c_353201,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK24,X1)
| ~ r1_tarski(sK24,X0)
| ~ r1_xboole_0(k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),X1) ),
inference(superposition,[status(thm)],[c_347071,c_2433]) ).
tcf(c_353202,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK24,X1)
| ~ r1_xboole_0(k4_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)),X1) ),
inference(superposition,[status(thm)],[c_348629,c_2433]) ).
tcf(c_353203,plain,
! [X0: $i] :
( r1_xboole_0(sK24,X0)
| ~ r1_xboole_0(k4_xboole_0(sK24,sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),X0) ),
inference(superposition,[status(thm)],[c_348638,c_2433]) ).
tcf(c_353204,plain,
! [X0: $i] :
( r1_xboole_0(k1_zfmisc_1(sK24),X0)
| ~ r1_xboole_0(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),X0) ),
inference(superposition,[status(thm)],[c_348941,c_2433]) ).
tcf(c_353205,plain,
! [X0: $i] :
( r1_xboole_0(sK25(k5_finsub_1(sK413),np__0),X0)
| ~ r1_xboole_0(sK413,X0) ),
inference(superposition,[status(thm)],[c_333111,c_2433]) ).
tcf(c_353206,plain,
! [X0: $i] :
( r1_xboole_0(sK25(k5_finsub_1(sK212),np__0),X0)
| ~ r1_xboole_0(sK212,X0) ),
inference(superposition,[status(thm)],[c_331606,c_2433]) ).
tcf(c_353207,plain,
! [X0: $i] :
( r1_xboole_0(sK25(k5_finsub_1(sK205),np__0),X0)
| ~ r1_xboole_0(sK205,X0) ),
inference(superposition,[status(thm)],[c_331197,c_2433]) ).
tcf(c_353208,plain,
! [X0: $i] :
( r1_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),X0)
| ~ r1_xboole_0(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))),X0) ),
inference(superposition,[status(thm)],[c_349839,c_2433]) ).
tcf(c_353392,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(np__0),X0)
| r1_xboole_0(sK28(k5_finsub_1(np__0),X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_353167,c_324400]) ).
tcf(c_353670,plain,
! [X0: $i] : k2_xboole_0(k5_finsub_1(np__0),k2_tarski(X0,X0)) = k2_tarski(np__0,X0),
inference(superposition,[status(thm)],[c_919,c_49]) ).
tcf(c_353671,plain,
! [X0: $i] : k2_xboole_0(k2_finseq_1(np__1),k2_tarski(X0,X0)) = k2_tarski(np__1,X0),
inference(superposition,[status(thm)],[c_1820,c_49]) ).
tcf(c_353672,plain,
! [X0: $i] : k2_xboole_0(k2_tarski(X0,X0),k5_finsub_1(np__0)) = k2_tarski(X0,np__0),
inference(superposition,[status(thm)],[c_919,c_49]) ).
tcf(c_353673,plain,
! [X0: $i] : k2_xboole_0(k2_tarski(X0,X0),k2_finseq_1(np__1)) = k2_tarski(X0,np__1),
inference(superposition,[status(thm)],[c_1820,c_49]) ).
tcf(c_353676,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X2)
| r1_tarski(k2_tarski(X0,X0),k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_tarski(k2_tarski(X0,X1),k7_lopclset(X2)) ),
inference(superposition,[status(thm)],[c_49,c_344357]) ).
tcf(c_353677,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X1))
| ~ v1_membered(k2_tarski(X1,X1))
| ~ v1_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_49,c_2484]) ).
tcf(c_353678,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X1))
| ~ v2_membered(k2_tarski(X1,X1))
| ~ v2_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_49,c_2483]) ).
tcf(c_353679,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X1))
| ~ v2_membered(k2_tarski(X1,X1))
| ~ v2_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_49,c_2482]) ).
tcf(c_353680,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X0,X1))
| ~ v3_membered(k2_tarski(X1,X1))
| ~ v3_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_49,c_2481]) ).
tcf(c_353681,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X1))
| ~ v3_membered(k2_tarski(X1,X1))
| ~ v3_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_49,c_2480]) ).
tcf(c_353682,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X1))
| ~ v3_membered(k2_tarski(X1,X1))
| ~ v3_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_49,c_2479]) ).
tcf(c_353685,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k2_tarski(X0,X1)),k2_tarski(X1,X1)),
inference(superposition,[status(thm)],[c_49,c_330587]) ).
tcf(c_353686,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k2_tarski(X0,X1)),k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_49,c_330552]) ).
tcf(c_353687,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k1_zfmisc_1(k2_tarski(X0,X1)),k2_tarski(X1,X1)),
inference(superposition,[status(thm)],[c_49,c_330507]) ).
tcf(c_353691,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) = k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),
inference(superposition,[status(thm)],[c_49,c_498]) ).
tcf(c_353692,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(k2_tarski(X0,X0)),k1_zfmisc_1(k2_tarski(X1,X1))),k1_zfmisc_1(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_49,c_485]) ).
tcf(c_353693,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_tarski(X0,X1))
| ~ v1_relat_1(k2_tarski(X1,X1))
| ~ v1_relat_1(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_49,c_476]) ).
tcf(c_353695,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k5_finsub_1(k2_tarski(X0,X0)),k5_finsub_1(k2_tarski(X1,X1))),k5_finsub_1(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_49,c_463]) ).
tcf(c_353696,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_tarski(X0,X0),X2)
| ~ r1_tarski(k2_tarski(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_49,c_514]) ).
tcf(c_353697,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X1)),k1_zfmisc_1(k1_zfmisc_1(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_49,c_483]) ).
tcf(c_353701,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_tarski(X0,X1),k2_xboole_0(k2_tarski(X1,X1),k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_49,c_326816]) ).
tcf(c_353706,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_xboole_0(X0,k2_tarski(X2,X2)),k2_tarski(X1,X2))
| ~ r1_tarski(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_49,c_516]) ).
tcf(c_353707,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,k2_tarski(X1,X1)),k2_tarski(X2,X2))
| ~ r1_tarski(X0,k2_tarski(X1,X2)) ),
inference(superposition,[status(thm)],[c_49,c_495]) ).
tcf(c_353708,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k2_tarski(X2,X2))
| ~ r1_xboole_0(X0,k2_tarski(X1,X2)) ),
inference(superposition,[status(thm)],[c_49,c_2425]) ).
tcf(c_353709,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k2_tarski(X1,X1))
| ~ r1_xboole_0(X0,k2_tarski(X1,X2)) ),
inference(superposition,[status(thm)],[c_49,c_2424]) ).
tcf(c_353710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_tarski(X1,X2)))),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(k2_tarski(X2,X2),k2_tarski(X1,X1)))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k2_tarski(X1,X1),k2_tarski(X2,X2))) ),
inference(superposition,[status(thm)],[c_49,c_327861]) ).
tcf(c_353712,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k2_tarski(X2,X1)),X0)
| r1_tarski(k5_finsub_1(X0),k2_xboole_0(k2_tarski(X1,X1),k2_tarski(X2,X2))) ),
inference(superposition,[status(thm)],[c_49,c_330258]) ).
tcf(c_353713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(sK25(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_tarski(X1,X2)))),X0)
| r1_tarski(k5_finsub_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(k2_tarski(X2,X2),k2_tarski(X1,X1)))))
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(k2_tarski(X1,X1),k2_tarski(X2,X2))) ),
inference(superposition,[status(thm)],[c_49,c_327049]) ).
tcf(c_353714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_tarski(X1,X2)))),X0)
| r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(k2_tarski(X1,X1),k2_tarski(X2,X2)))))
| ~ r1_tarski(X0,k2_xboole_0(k2_tarski(X1,X1),k2_tarski(X2,X2))) ),
inference(superposition,[status(thm)],[c_49,c_323866]) ).
tcf(c_353715,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_tarski(X1,X2))),k2_xboole_0(k2_tarski(X2,X2),k2_tarski(X1,X1))),
inference(superposition,[status(thm)],[c_49,c_34474]) ).
tcf(c_353716,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_tarski(X0,X2),k2_xboole_0(X1,k2_tarski(X2,X2)))
| ~ r1_tarski(k2_tarski(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_49,c_516]) ).
tcf(c_353717,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X0),k2_xboole_0(X1,k2_tarski(X0,X2))),
inference(superposition,[status(thm)],[c_49,c_330474]) ).
tcf(c_353718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_tarski(X2,X1)))),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(k2_tarski(X1,X1),k2_tarski(X2,X2)))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k2_tarski(X1,X1),k2_tarski(X2,X2))) ),
inference(superposition,[status(thm)],[c_49,c_328021]) ).
tcf(c_353719,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k2_tarski(X2,X1)),X0)
| r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k2_tarski(X2,X2),k2_tarski(X1,X1)))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k2_tarski(X1,X1),k2_tarski(X2,X2))) ),
inference(superposition,[status(thm)],[c_49,c_331819]) ).
tcf(c_353722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(sK25(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_tarski(X2,X1)))),X0)
| r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(k2_tarski(X2,X2),k2_tarski(X1,X1)))))
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(k2_tarski(X1,X1),k2_tarski(X2,X2))) ),
inference(superposition,[status(thm)],[c_49,c_326382]) ).
tcf(c_353723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK25(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_tarski(X2,X1)))),X0)
| r1_tarski(X0,k4_xboole_0(X3,k4_xboole_0(X3,k2_xboole_0(k2_tarski(X2,X2),k2_tarski(X1,X1)))))
| ~ r1_tarski(X0,k2_xboole_0(k2_tarski(X1,X1),k2_tarski(X2,X2))) ),
inference(superposition,[status(thm)],[c_49,c_323865]) ).
tcf(c_353724,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k2_xboole_0(k2_tarski(X1,X1),k2_tarski(X2,X2)))),k2_tarski(X2,X1)),
inference(superposition,[status(thm)],[c_49,c_34474]) ).
tcf(c_353725,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X1)),k1_zfmisc_1(k1_zfmisc_1(k2_tarski(X1,X0)))),
inference(superposition,[status(thm)],[c_49,c_330379]) ).
tcf(c_353727,plain,
! [X0: $i,X1: $i] : k2_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) = k2_tarski(X1,X0),
inference(superposition,[status(thm)],[c_49,c_524]) ).
tcf(c_353728,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)),k2_tarski(X1,X0)),
inference(superposition,[status(thm)],[c_49,c_326816]) ).
tcf(c_353729,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k2_tarski(X1,X1))
| ~ r1_tarski(k2_tarski(X0,X1),k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_49,c_1405]) ).
tcf(c_353735,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k5_finsub_1(k2_tarski(X0,X1)),k2_tarski(X1,X1)),
inference(light_normalisation,[status(thm)],[c_353687,c_330898]) ).
tcf(c_353736,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k5_finsub_1(k2_tarski(X0,X1)),k2_tarski(X0,X0)),
inference(light_normalisation,[status(thm)],[c_353686,c_330898]) ).
tcf(c_353737,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k5_finsub_1(k2_tarski(X0,X1)),k2_tarski(X1,X1)),
inference(light_normalisation,[status(thm)],[c_353685,c_330898]) ).
tcf(c_353738,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_tarski(X0,X1),k2_tarski(X1,X0)),
inference(light_normalisation,[status(thm)],[c_353728,c_49]) ).
tcf(c_353745,plain,
! [X0: $i] : k2_xboole_0(k2_finseq_1(np__1),k2_tarski(X0,X0)) = k2_tarski(X0,np__1),
inference(theory_normalisation,[status(thm)],[c_353673,c_521,c_524]) ).
tcf(c_353746,plain,
! [X0: $i] : k2_xboole_0(k5_finsub_1(np__0),k2_tarski(X0,X0)) = k2_tarski(X0,np__0),
inference(theory_normalisation,[status(thm)],[c_353672,c_521,c_524]) ).
tcf(c_353749,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X1)),k1_zfmisc_1(k5_finsub_1(k2_tarski(X0,X1)))),
inference(light_normalisation,[status(thm)],[c_353697,c_330898]) ).
tcf(c_353753,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_xboole_0(k1_zfmisc_1(k2_tarski(X0,X0)),k1_zfmisc_1(k2_tarski(X1,X1))),k5_finsub_1(k2_tarski(X0,X1))),
inference(light_normalisation,[status(thm)],[c_353692,c_330898]) ).
tcf(c_353843,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK47(X1),X1)
| ( X0 = X1 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_328348,c_98]) ).
tcf(c_353844,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK47(X1),X1)
| ( X0 = X1 )
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_326624,c_98]) ).
tcf(c_353845,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_326591,c_98]) ).
tcf(c_353846,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X1) )
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1)) ),
inference(superposition,[status(thm)],[c_85,c_98]) ).
tcf(c_353847,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X0,X2) )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)) ),
inference(superposition,[status(thm)],[c_86,c_98]) ).
tcf(c_353848,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(X0) = k1_zfmisc_1(X1) )
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_90,c_98]) ).
tcf(c_353851,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = k1_zfmisc_1(X0) )
| ~ r1_tarski(k1_zfmisc_1(X0),k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_263,c_98]) ).
tcf(c_353852,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(X1,X1) = X0 )
| ~ r2_hidden(X1,X0)
| ~ r1_tarski(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_281,c_98]) ).
tcf(c_353853,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_relat_1(sK89(X0,X1)) = X0 )
| ~ r1_tarski(X0,k2_relat_1(sK89(X0,X1))) ),
inference(superposition,[status(thm)],[c_406,c_98]) ).
tcf(c_353854,plain,
! [X0: $i] :
( ( k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0)) = X0 )
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_430,c_98]) ).
tcf(c_353855,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)) = k5_finsub_1(k2_xboole_0(X0,X1)) )
| ~ r1_tarski(k5_finsub_1(k2_xboole_0(X0,X1)),k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1))) ),
inference(superposition,[status(thm)],[c_463,c_98]) ).
tcf(c_353856,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_zfmisc_1(X0,X1) = X2 )
| ~ m1_relset_1(X2,X0,X1)
| ~ r1_tarski(k2_zfmisc_1(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1063,c_98]) ).
tcf(c_353857,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1))) = k2_zfmisc_1(X0,X1) )
| ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1))),k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_483,c_98]) ).
tcf(c_353858,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)) = k1_zfmisc_1(k2_xboole_0(X0,X1)) )
| ~ r1_tarski(k1_zfmisc_1(k2_xboole_0(X0,X1)),k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_485,c_98]) ).
tcf(c_353859,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(X0,X1) = X2 )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_515,c_98]) ).
tcf(c_353860,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(X0,X1) = k2_xboole_0(X2,X1) )
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(k2_xboole_0(X0,X1),k2_xboole_0(X2,X1)) ),
inference(superposition,[status(thm)],[c_516,c_98]) ).
tcf(c_353861,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(X0,X1) = X0 )
| ~ r1_tarski(k2_xboole_0(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_518,c_98]) ).
tcf(c_353862,plain,
! [X0: $i] :
( r2_hidden(sK115(X0),X0)
| ( k2_zfmisc_1(sK116(X0),sK117(X0)) = X0 )
| ~ r1_tarski(k2_zfmisc_1(sK116(X0),sK117(X0)),X0) ),
inference(superposition,[status(thm)],[c_556,c_98]) ).
tcf(c_353863,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X1,X2) = X0 )
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_812,c_98]) ).
tcf(c_353864,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = X0 )
| ~ r1_tarski(X0,k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_819,c_98]) ).
tcf(c_353865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,X1) = k4_xboole_0(X0,X2) )
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)) ),
inference(superposition,[status(thm)],[c_821,c_98]) ).
tcf(c_353866,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,X1) = k4_xboole_0(X2,X1) )
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1)) ),
inference(superposition,[status(thm)],[c_822,c_98]) ).
tcf(c_353867,plain,
! [X0: $i] :
( ( k1_zfmisc_1(X0) = k5_finsub_1(X0) )
| ~ r1_tarski(k1_zfmisc_1(X0),k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_920,c_98]) ).
tcf(c_353868,plain,
! [X0: $i,X1: $i] :
( ( k5_finsub_1(X0) = k5_finsub_1(X1) )
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(k5_finsub_1(X0),k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_922,c_98]) ).
tcf(c_353869,plain,
( ( k1_numbers = k5_numbers )
| ~ r1_tarski(k1_numbers,k5_numbers) ),
inference(superposition,[status(thm)],[c_1091,c_98]) ).
tcf(c_353872,plain,
! [X0: $i,X1: $i] :
( ( k1_card_1(X0) = k1_card_1(X1) )
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(superposition,[status(thm)],[c_1307,c_98]) ).
tcf(c_353873,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(X0,X0) = k2_tarski(X0,X1) )
| ~ r1_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_1425,c_98]) ).
tcf(c_353874,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(X0,X1) = k2_tarski(X1,X1) )
| ~ r1_tarski(k2_tarski(X0,X1),k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_1408,c_98]) ).
tcf(c_353875,plain,
! [X0: $i,X1: $i] :
( ( k1_relat_1(k7_relat_1(X0,X1)) = k1_relat_1(X0) )
| ~ v1_relat_1(X0)
| ~ r1_tarski(k1_relat_1(X0),k1_relat_1(k7_relat_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_2268,c_98]) ).
tcf(c_353876,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(k7_relat_1(X0,X1)) = k2_relat_1(X0) )
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),k2_relat_1(k7_relat_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_2260,c_98]) ).
tcf(c_353877,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(X0,X1) = X0 )
| ~ v1_relat_1(X0)
| ~ r1_tarski(X0,k7_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_2269,c_98]) ).
tcf(c_353878,plain,
! [X0: $i,X1: $i] :
( ( k1_relat_1(k7_relat_1(X1,X0)) = X0 )
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k1_relat_1(k7_relat_1(X1,X0))) ),
inference(superposition,[status(thm)],[c_2270,c_98]) ).
tcf(c_353879,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(X0,k2_relat_1(X0)) = k10_relat_1(X0,X1) )
| ~ v1_relat_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k2_relat_1(X0)),k10_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_2322,c_98]) ).
tcf(c_353880,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(X0,X1) = k1_relat_1(X0) )
| ~ v1_relat_1(X0)
| ~ r1_tarski(k1_relat_1(X0),k10_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_2325,c_98]) ).
tcf(c_353881,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(X0,k1_relat_1(X0)) = k9_relat_1(X0,X1) )
| ~ v1_relat_1(X0)
| ~ r1_tarski(k9_relat_1(X0,k1_relat_1(X0)),k9_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_2364,c_98]) ).
tcf(c_353882,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(X0,X1) = k2_relat_1(X0) )
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),k9_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_2367,c_98]) ).
tcf(c_353883,plain,
! [X0: $i] :
( v3_realset2(X0)
| ( k1_zfmisc_1(u1_struct_0(X0)) = k7_lopclset(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_326375,c_98]) ).
tcf(c_353884,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( sK53(X0) = X0 )
| ~ r1_tarski(X0,sK53(X0)) ),
inference(superposition,[status(thm)],[c_326377,c_98]) ).
tcf(c_353885,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(X0,X1) = X1 )
| ~ r1_tarski(k2_xboole_0(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_326993,c_98]) ).
tcf(c_353886,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( sK210(X0) = X0 )
| ~ r1_tarski(X0,sK210(X0)) ),
inference(superposition,[status(thm)],[c_326378,c_98]) ).
tcf(c_353887,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( sK211(X0) = X0 )
| ~ r1_tarski(X0,sK211(X0)) ),
inference(superposition,[status(thm)],[c_326379,c_98]) ).
tcf(c_353888,plain,
! [X0: $i] :
( ( k2_finseq_1(X0) = k5_numbers )
| ~ v4_ordinal2(X0)
| ~ r1_tarski(k5_numbers,k2_finseq_1(X0)) ),
inference(superposition,[status(thm)],[c_328268,c_98]) ).
tcf(c_353889,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))) = k1_zfmisc_1(k4_xboole_0(X0,X1)) )
| ~ r1_tarski(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),k1_zfmisc_1(k4_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_33271,c_98]) ).
tcf(c_353890,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0))) = k2_xboole_0(X0,X1) )
| ~ r1_tarski(k2_xboole_0(X0,X1),k4_xboole_0(X2,k4_xboole_0(X2,k2_xboole_0(X1,X0)))) ),
inference(superposition,[status(thm)],[c_34474,c_98]) ).
tcf(c_353891,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ( sK26(k5_finsub_1(X0),X1,X2) = X0 )
| ~ r1_tarski(X2,k5_finsub_1(X0))
| ~ r1_tarski(X1,k5_finsub_1(X0))
| ~ r1_tarski(X0,sK26(k5_finsub_1(X0),X1,X2)) ),
inference(superposition,[status(thm)],[c_323884,c_98]) ).
tcf(c_353892,plain,
! [X0: $i] :
( ( sK29(k5_finsub_1(X0)) = X0 )
| ~ r1_tarski(X0,sK29(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_323947,c_98]) ).
tcf(c_353893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X3,X2))))
| ( sK25(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3)))) = X0 )
| ~ r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X3))
| ~ r1_tarski(X0,sK25(k5_finsub_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3))))) ),
inference(superposition,[status(thm)],[c_327049,c_98]) ).
tcf(c_353894,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK47(k5_finsub_1(X1)),X1)
| ( k5_finsub_1(X1) = X0 )
| ~ r1_tarski(X0,k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_330228,c_98]) ).
tcf(c_353895,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X1,k4_xboole_0(X1,X0)) = X0 )
| ~ r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(superposition,[status(thm)],[c_324338,c_98]) ).
tcf(c_353896,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( sK207(X0) = X0 )
| ~ r1_tarski(X0,sK207(X0)) ),
inference(superposition,[status(thm)],[c_325276,c_98]) ).
tcf(c_353897,plain,
! [X0: $i] :
( ( k2_tarski(X0,np__0) = k5_finsub_1(np__0) )
| ~ r1_tarski(k2_tarski(X0,np__0),k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_325482,c_98]) ).
tcf(c_353898,plain,
! [X0: $i] :
( ( k2_tarski(np__0,X0) = k5_finsub_1(np__0) )
| ~ r1_tarski(k2_tarski(np__0,X0),k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_325488,c_98]) ).
tcf(c_353899,plain,
! [X0: $i] :
( ( k2_tarski(np__1,X0) = k2_finseq_1(np__1) )
| ~ r1_tarski(k2_tarski(np__1,X0),k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_325615,c_98]) ).
tcf(c_353900,plain,
! [X0: $i] :
( ( k2_tarski(X0,np__1) = k2_finseq_1(np__1) )
| ~ r1_tarski(k2_tarski(X0,np__1),k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_325616,c_98]) ).
tcf(c_353901,plain,
( ( k1_zfmisc_1(np__1) = k2_finseq_1(np__1) )
| ~ r1_tarski(k1_zfmisc_1(np__1),k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_325618,c_98]) ).
tcf(c_353902,plain,
( ( k2_tarski(np__2,np__2) = k2_finseq_1(np__2) )
| ~ r1_tarski(k2_finseq_1(np__2),k2_tarski(np__2,np__2)) ),
inference(superposition,[status(thm)],[c_325630,c_98]) ).
tcf(c_353903,plain,
( ( k2_finseq_1(np__1) = k2_finseq_1(np__2) )
| ~ r1_tarski(k2_finseq_1(np__2),k2_finseq_1(np__1)) ),
inference(superposition,[status(thm)],[c_325633,c_98]) ).
tcf(c_353905,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| ( sK25(k5_finsub_1(X0),X1) = X0 )
| ~ r1_tarski(X0,sK25(k5_finsub_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_328506,c_98]) ).
tcf(c_353906,plain,
! [X0: $i] :
( ( sK29(k1_zfmisc_1(X0)) = X0 )
| ~ r1_tarski(X0,sK29(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_326374,c_98]) ).
tcf(c_353907,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ( sK26(k1_zfmisc_1(X0),X1,X2) = X0 )
| ~ r1_tarski(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X0,sK26(k1_zfmisc_1(X0),X1,X2)) ),
inference(superposition,[status(thm)],[c_326381,c_98]) ).
tcf(c_353908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X3,X2))))
| ( sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3)))) = X0 )
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X3,X2))
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3))))) ),
inference(superposition,[status(thm)],[c_328021,c_98]) ).
tcf(c_353909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3))))
| ( sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3)))) = X0 )
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X3,X2))
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3))))) ),
inference(superposition,[status(thm)],[c_326382,c_98]) ).
tcf(c_353910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X3,X2))))
| ( sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3)))) = X0 )
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,X3))
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X2,X3))))) ),
inference(superposition,[status(thm)],[c_327861,c_98]) ).
tcf(c_353911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| r1_tarski(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X2,X3))
| ( sK25(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X2,X3)) = X0 )
| ~ r1_tarski(X3,k5_finsub_1(X1))
| ~ r1_tarski(X2,k5_finsub_1(X1))
| ~ r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(X0),sK26(k5_finsub_1(X1),X2,X3))) ),
inference(superposition,[status(thm)],[c_326385,c_98]) ).
tcf(c_353912,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| ( k1_zfmisc_1(u1_struct_0(X0)) = X1 )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(X1,k7_lopclset(X0))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_343633,c_98]) ).
tcf(c_353913,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| ( sK28(k1_zfmisc_1(X0),X1) = X0 )
| ~ r1_tarski(X0,sK28(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_326593,c_98]) ).
tcf(c_353914,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(X0),k2_xboole_0(X2,X1))
| ( sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2)) = X0 )
| ~ r1_tarski(X0,sK25(k5_finsub_1(X0),k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_330258,c_98]) ).
tcf(c_353915,plain,
! [X0: $i] :
( ( sK47(k1_zfmisc_1(X0)) = X0 )
| ~ r1_tarski(X0,sK47(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_328444,c_98]) ).
tcf(c_353916,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(X0),sK24)
| ( sK47(k5_finsub_1(X0)) = X0 )
| ~ r1_tarski(X0,sK47(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_347864,c_98]) ).
tcf(c_353917,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| ( sK47(k5_finsub_1(X0)) = X0 )
| ~ r1_tarski(X0,sK47(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_330228,c_98]) ).
tcf(c_353918,plain,
! [X0: $i] :
( ( sK25(k1_zfmisc_1(X0),np__0) = X0 )
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(X0),np__0)) ),
inference(superposition,[status(thm)],[c_328139,c_98]) ).
tcf(c_353919,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ( sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,X2))) = X0 )
| ~ r1_tarski(k1_zfmisc_1(X0),X2)
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(X0),k4_xboole_0(X1,k4_xboole_0(X1,X2)))) ),
inference(superposition,[status(thm)],[c_331985,c_98]) ).
tcf(c_353921,plain,
! [X0: $i] :
( ( k1_zfmisc_1(X0) = k5_finsub_1(np__0) )
| ~ r1_tarski(k1_zfmisc_1(X0),k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_329271,c_98]) ).
tcf(c_353923,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1))) = k2_zfmisc_1(X1,X0) )
| ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1))),k2_zfmisc_1(X1,X0)) ),
inference(superposition,[status(thm)],[c_330379,c_98]) ).
tcf(c_353924,plain,
! [X0: $i] :
( ( k2_zfmisc_1(X0,X0) = k1_zfmisc_1(k1_zfmisc_1(X0)) )
| ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(X0)),k2_zfmisc_1(X0,X0)) ),
inference(superposition,[status(thm)],[c_330378,c_98]) ).
tcf(c_353925,plain,
! [X0: $i,X1: $i] :
( ( k2_zfmisc_1(X0,k4_xboole_0(X0,X1)) = k1_zfmisc_1(k1_zfmisc_1(X0)) )
| ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(X0)),k2_zfmisc_1(X0,k4_xboole_0(X0,X1))) ),
inference(superposition,[status(thm)],[c_330381,c_98]) ).
tcf(c_353926,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_xboole_0(X0,k2_xboole_0(X1,X2)) = X1 )
| ~ r1_tarski(k2_xboole_0(X0,k2_xboole_0(X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_330474,c_98]) ).
tcf(c_353927,plain,
( ( k5_finsub_1(np__0) = k5_finsub_1(sK205) )
| ~ r1_tarski(k5_finsub_1(sK205),k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_331184,c_98]) ).
tcf(c_353928,plain,
( ( sK47(k5_finsub_1(sK205)) = sK205 )
| ~ r1_tarski(sK205,sK47(k5_finsub_1(sK205))) ),
inference(superposition,[status(thm)],[c_331190,c_98]) ).
tcf(c_353929,plain,
( ( k2_tarski(sK205,sK205) = k5_finsub_1(sK205) )
| ~ r1_tarski(k5_finsub_1(sK205),k2_tarski(sK205,sK205)) ),
inference(superposition,[status(thm)],[c_331212,c_98]) ).
tcf(c_353930,plain,
( ( sK53(sK205) = sK205 )
| ~ r1_tarski(sK205,sK53(sK205)) ),
inference(superposition,[status(thm)],[c_331347,c_98]) ).
tcf(c_353931,plain,
( ( sK210(sK205) = sK205 )
| ~ r1_tarski(sK205,sK210(sK205)) ),
inference(superposition,[status(thm)],[c_331361,c_98]) ).
tcf(c_353932,plain,
( ( sK211(sK205) = sK205 )
| ~ r1_tarski(sK205,sK211(sK205)) ),
inference(superposition,[status(thm)],[c_331375,c_98]) ).
tcf(c_353933,plain,
( ( k5_finsub_1(np__0) = k5_finsub_1(sK212) )
| ~ r1_tarski(k5_finsub_1(sK212),k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_331593,c_98]) ).
tcf(c_353934,plain,
( ( sK47(k5_finsub_1(sK212)) = sK212 )
| ~ r1_tarski(sK212,sK47(k5_finsub_1(sK212))) ),
inference(superposition,[status(thm)],[c_331599,c_98]) ).
tcf(c_353935,plain,
( ( k2_tarski(sK212,sK212) = k5_finsub_1(sK212) )
| ~ r1_tarski(k5_finsub_1(sK212),k2_tarski(sK212,sK212)) ),
inference(superposition,[status(thm)],[c_331621,c_98]) ).
tcf(c_353936,plain,
( ( sK53(sK212) = sK212 )
| ~ r1_tarski(sK212,sK53(sK212)) ),
inference(superposition,[status(thm)],[c_331939,c_98]) ).
tcf(c_353937,plain,
( ( sK210(sK212) = sK212 )
| ~ r1_tarski(sK212,sK210(sK212)) ),
inference(superposition,[status(thm)],[c_331954,c_98]) ).
tcf(c_353938,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X1,X2))
| ( sK25(k1_zfmisc_1(X0),k2_xboole_0(X1,X2)) = X0 )
| ~ r1_tarski(k1_zfmisc_1(X0),k2_xboole_0(X2,X1))
| ~ r1_tarski(X0,sK25(k1_zfmisc_1(X0),k2_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_331819,c_98]) ).
tcf(c_353939,plain,
( ( sK211(sK212) = sK212 )
| ~ r1_tarski(sK212,sK211(sK212)) ),
inference(superposition,[status(thm)],[c_331969,c_98]) ).
tcf(c_353940,plain,
( ( k5_finsub_1(np__0) = k5_finsub_1(sK413) )
| ~ r1_tarski(k5_finsub_1(sK413),k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_333098,c_98]) ).
tcf(c_353941,plain,
( ( sK47(k5_finsub_1(sK413)) = sK413 )
| ~ r1_tarski(sK413,sK47(k5_finsub_1(sK413))) ),
inference(superposition,[status(thm)],[c_333104,c_98]) ).
tcf(c_353942,plain,
( ( k2_tarski(sK413,sK413) = k5_finsub_1(sK413) )
| ~ r1_tarski(k5_finsub_1(sK413),k2_tarski(sK413,sK413)) ),
inference(superposition,[status(thm)],[c_333125,c_98]) ).
tcf(c_353943,plain,
( ( sK53(sK413) = sK413 )
| ~ r1_tarski(sK413,sK53(sK413)) ),
inference(superposition,[status(thm)],[c_334147,c_98]) ).
tcf(c_353944,plain,
( ( sK210(sK413) = sK413 )
| ~ r1_tarski(sK413,sK210(sK413)) ),
inference(superposition,[status(thm)],[c_334414,c_98]) ).
tcf(c_353945,plain,
( ( sK211(sK413) = sK413 )
| ~ r1_tarski(sK413,sK211(sK413)) ),
inference(superposition,[status(thm)],[c_334452,c_98]) ).
tcf(c_353946,plain,
! [X0: $i] :
( ( k2_xboole_0(X0,k1_numbers) = k5_numbers )
| ~ r1_tarski(k2_xboole_0(X0,k1_numbers),k5_numbers) ),
inference(superposition,[status(thm)],[c_341107,c_98]) ).
tcf(c_353947,plain,
! [X0: $i] :
( ( k2_xboole_0(k1_numbers,X0) = k5_numbers )
| ~ r1_tarski(k2_xboole_0(k1_numbers,X0),k5_numbers) ),
inference(superposition,[status(thm)],[c_341360,c_98]) ).
tcf(c_353948,plain,
! [X0: $i] :
( ( k4_xboole_0(k5_numbers,X0) = k1_numbers )
| ~ r1_tarski(k1_numbers,k4_xboole_0(k5_numbers,X0)) ),
inference(superposition,[status(thm)],[c_345817,c_98]) ).
tcf(c_353949,plain,
! [X0: $i] :
( r2_hidden(sK47(X0),X0)
| ( k4_xboole_0(sK24,X0) = sK24 )
| ~ r1_tarski(k4_xboole_0(sK24,X0),sK24) ),
inference(superposition,[status(thm)],[c_348622,c_98]) ).
tcf(c_353950,plain,
! [X0: $i] :
( m1_subset_1(sK47(X0),X0)
| ( k4_xboole_0(sK24,X0) = sK24 )
| ~ r1_tarski(k4_xboole_0(sK24,X0),sK24) ),
inference(superposition,[status(thm)],[c_348621,c_98]) ).
tcf(c_353951,plain,
! [X0: $i] :
( ( k4_xboole_0(sK24,X0) = sK24 )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(k4_xboole_0(sK24,X0),sK24) ),
inference(superposition,[status(thm)],[c_348623,c_98]) ).
tcf(c_353952,plain,
! [X0: $i] :
( ( k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0) = sK47(a_2_0_lopclset(sK23,sK24)) )
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347199,c_98]) ).
tcf(c_353953,plain,
! [X0: $i] :
( ( k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) = sK47(a_2_0_lopclset(sK23,sK24)) )
| ~ r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),X0)
| ~ r1_tarski(k4_xboole_0(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_347197,c_98]) ).
tcf(c_353954,plain,
! [X0: $i] :
( ( k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) = sK24 )
| ~ r1_tarski(sK24,X0)
| ~ r1_tarski(k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK24) ),
inference(superposition,[status(thm)],[c_347071,c_98]) ).
tcf(c_353955,plain,
! [X0: $i] :
( ( k4_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)) = sK24 )
| ~ r1_tarski(k4_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)),sK24) ),
inference(superposition,[status(thm)],[c_348629,c_98]) ).
tcf(c_353956,plain,
( ( k4_xboole_0(sK24,sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))) = sK24 )
| ~ r1_tarski(k4_xboole_0(sK24,sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),sK24) ),
inference(superposition,[status(thm)],[c_348638,c_98]) ).
tcf(c_353957,plain,
( ( k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))) = k1_zfmisc_1(sK24) )
| ~ r1_tarski(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK24),k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),k1_zfmisc_1(sK24)) ),
inference(superposition,[status(thm)],[c_348941,c_98]) ).
tcf(c_353958,plain,
( ( sK25(k5_finsub_1(sK413),np__0) = sK413 )
| ~ r1_tarski(sK413,sK25(k5_finsub_1(sK413),np__0)) ),
inference(superposition,[status(thm)],[c_333111,c_98]) ).
tcf(c_353959,plain,
( ( sK25(k5_finsub_1(sK212),np__0) = sK212 )
| ~ r1_tarski(sK212,sK25(k5_finsub_1(sK212),np__0)) ),
inference(superposition,[status(thm)],[c_331606,c_98]) ).
tcf(c_353960,plain,
( ( sK25(k5_finsub_1(sK205),np__0) = sK205 )
| ~ r1_tarski(sK205,sK25(k5_finsub_1(sK205),np__0)) ),
inference(superposition,[status(thm)],[c_331197,c_98]) ).
tcf(c_353961,plain,
( ( k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))) = k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))) )
| ~ r1_tarski(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24))),k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))))),k1_zfmisc_1(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_349839,c_98]) ).
tcf(c_353962,plain,
~ r1_tarski(k1_numbers,k5_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_353869,c_1090]) ).
tcf(c_354069,plain,
! [X0: $i] :
( ( k4_xboole_0(sK24,X0) = sK24 )
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_353951,c_819]) ).
tcf(c_354078,plain,
! [X0: $i] :
( m1_subset_1(sK47(X0),X0)
| ( k4_xboole_0(sK24,X0) = sK24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_353950,c_819]) ).
tcf(c_354081,plain,
! [X0: $i] :
( r2_hidden(sK47(X0),X0)
| ( k4_xboole_0(sK24,X0) = sK24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_353949,c_819]) ).
tcf(c_354188,plain,
k4_xboole_0(sK24,sK29(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))) = sK24,
inference(forward_subsumption_resolution,[status(thm)],[c_353956,c_819]) ).
tcf(c_354189,plain,
! [X0: $i] : k4_xboole_0(sK24,k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)) = sK24,
inference(forward_subsumption_resolution,[status(thm)],[c_353955,c_819]) ).
tcf(c_354229,plain,
! [X0: $i] :
( ( k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0) = sK47(a_2_0_lopclset(sK23,sK24)) )
| ~ r1_tarski(X0,k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_353952,c_819]) ).
tcf(c_354404,plain,
k9_relat_1(sK29(k5_finsub_1(sK415)),k1_relat_1(sK29(k5_finsub_1(sK415)))) = k2_relat_1(sK29(k5_finsub_1(sK415))),
inference(superposition,[status(thm)],[c_351358,c_2365]) ).
tcf(c_354405,plain,
k10_relat_1(sK29(k5_finsub_1(sK415)),k2_relat_1(sK29(k5_finsub_1(sK415)))) = k1_relat_1(sK29(k5_finsub_1(sK415))),
inference(superposition,[status(thm)],[c_351358,c_2323]) ).
tcf(c_354406,plain,
k7_relat_1(sK29(k5_finsub_1(sK415)),k1_relat_1(sK29(k5_finsub_1(sK415)))) = sK29(k5_finsub_1(sK415)),
inference(superposition,[status(thm)],[c_351358,c_2261]) ).
tcf(c_354407,plain,
k9_relat_1(sK29(k5_finsub_1(sK415)),np__0) = np__0,
inference(superposition,[status(thm)],[c_351358,c_2363]) ).
tcf(c_354408,plain,
k10_relat_1(sK29(k5_finsub_1(sK415)),np__0) = np__0,
inference(superposition,[status(thm)],[c_351358,c_2321]) ).
tcf(c_354409,plain,
k7_relat_1(sK29(k5_finsub_1(sK415)),np__0) = np__0,
inference(superposition,[status(thm)],[c_351358,c_2249]) ).
tcf(c_354410,plain,
k5_relat_1(sK29(k5_finsub_1(sK415)),np__0) = np__0,
inference(superposition,[status(thm)],[c_351358,c_1272]) ).
tcf(c_354411,plain,
k5_relat_1(np__0,sK29(k5_finsub_1(sK415))) = np__0,
inference(superposition,[status(thm)],[c_351358,c_1271]) ).
tcf(c_354436,plain,
k9_relat_1(sK47(k5_finsub_1(sK415)),k1_relat_1(sK47(k5_finsub_1(sK415)))) = k2_relat_1(sK47(k5_finsub_1(sK415))),
inference(superposition,[status(thm)],[c_351359,c_2365]) ).
tcf(c_354437,plain,
k10_relat_1(sK47(k5_finsub_1(sK415)),k2_relat_1(sK47(k5_finsub_1(sK415)))) = k1_relat_1(sK47(k5_finsub_1(sK415))),
inference(superposition,[status(thm)],[c_351359,c_2323]) ).
tcf(c_354438,plain,
k7_relat_1(sK47(k5_finsub_1(sK415)),k1_relat_1(sK47(k5_finsub_1(sK415)))) = sK47(k5_finsub_1(sK415)),
inference(superposition,[status(thm)],[c_351359,c_2261]) ).
tcf(c_354439,plain,
k9_relat_1(sK47(k5_finsub_1(sK415)),np__0) = np__0,
inference(superposition,[status(thm)],[c_351359,c_2363]) ).
tcf(c_354440,plain,
k10_relat_1(sK47(k5_finsub_1(sK415)),np__0) = np__0,
inference(superposition,[status(thm)],[c_351359,c_2321]) ).
tcf(c_354441,plain,
k7_relat_1(sK47(k5_finsub_1(sK415)),np__0) = np__0,
inference(superposition,[status(thm)],[c_351359,c_2249]) ).
tcf(c_354442,plain,
k5_relat_1(sK47(k5_finsub_1(sK415)),np__0) = np__0,
inference(superposition,[status(thm)],[c_351359,c_1272]) ).
tcf(c_354443,plain,
k5_relat_1(np__0,sK47(k5_finsub_1(sK415))) = np__0,
inference(superposition,[status(thm)],[c_351359,c_1271]) ).
tcf(c_354444,plain,
k1_card_1(sK204(sK47(k5_finsub_1(sK415)))) = k1_card_1(sK47(k5_finsub_1(sK415))),
inference(superposition,[status(thm)],[c_351368,c_835]) ).
tcf(c_354445,plain,
k2_relat_1(sK412(sK47(k5_finsub_1(sK415)))) = sK47(k5_finsub_1(sK415)),
inference(superposition,[status(thm)],[c_351368,c_2199]) ).
tcf(c_354446,plain,
k1_zfmisc_1(sK47(k5_finsub_1(sK415))) = k5_finsub_1(sK47(k5_finsub_1(sK415))),
inference(superposition,[status(thm)],[c_351368,c_859]) ).
tcf(c_354454,plain,
( r1_tarski(np__0,np__0)
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(np__0))) ),
inference(superposition,[status(thm)],[c_327546,c_348640]) ).
tcf(c_354455,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(X1)))
| ~ r1_tarski(X0,sK47(k5_finsub_1(X1))) ),
inference(superposition,[status(thm)],[c_348640,c_97]) ).
tcf(c_354456,plain,
! [X0: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(X0)))
| ( sK47(k5_finsub_1(X0)) = X0 )
| ~ r1_tarski(X0,sK47(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_348640,c_98]) ).
tcf(c_354457,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK47(k5_finsub_1(X0)),X1)
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(X0)))
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_348640,c_2433]) ).
tcf(c_354458,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(X1)))
| ~ r2_hidden(X0,sK47(k5_finsub_1(X1))) ),
inference(superposition,[status(thm)],[c_348640,c_104]) ).
tcf(c_354459,plain,
! [X0: $i] :
( v1_xboole_0(sK47(k5_finsub_1(X0)))
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(X0)))
| ~ r1_xboole_0(sK47(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_348640,c_2426]) ).
tcf(c_354460,plain,
! [X0: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(X0)))
| ( k4_xboole_0(sK47(k5_finsub_1(X0)),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_348640,c_817]) ).
tcf(c_354461,plain,
! [X0: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(X0)))
| ( k2_xboole_0(sK47(k5_finsub_1(X0)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_348640,c_513]) ).
tcf(c_354462,plain,
! [X0: $i] :
( v1_membered(sK47(k5_finsub_1(X0)))
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(X0)))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_348640,c_2460]) ).
tcf(c_354464,plain,
! [X0: $i] :
( v1_relat_1(sK47(k5_finsub_1(X0)))
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_348640,c_70]) ).
tcf(c_354465,plain,
! [X0: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(X0)))
| ~ r2_hidden(X0,sK47(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_348640,c_69]) ).
tcf(c_354466,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK47(k5_finsub_1(X1)))
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(X1)))
| m1_subset_1(sK25(X0,sK47(k5_finsub_1(X1))),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_348640,c_97752]) ).
tcf(c_354467,plain,
! [X0: $i] :
( r1_tarski(sK47(k5_finsub_1(np__0)),X0)
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(np__0))) ),
inference(superposition,[status(thm)],[c_348640,c_330496]) ).
tcf(c_354469,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(k2_zfmisc_1(X0,X1))))
| m1_relset_1(sK47(k5_finsub_1(k2_zfmisc_1(X0,X1))),X0,X1) ),
inference(superposition,[status(thm)],[c_348640,c_1062]) ).
tcf(c_354470,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(k2_xboole_0(X0,X1))))
| r1_tarski(k4_xboole_0(sK47(k5_finsub_1(k2_xboole_0(X0,X1))),X0),X1) ),
inference(superposition,[status(thm)],[c_348640,c_495]) ).
tcf(c_354471,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(k4_xboole_0(X0,X2))))
| r1_tarski(sK47(k5_finsub_1(k4_xboole_0(X0,X2))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_348640,c_345270]) ).
tcf(c_354472,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK47(k5_finsub_1(k4_xboole_0(X0,X1))),X1)
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(k4_xboole_0(X0,X1)))) ),
inference(superposition,[status(thm)],[c_348640,c_2401]) ).
tcf(c_354473,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK47(k5_finsub_1(k4_xboole_0(X0,X1))),X0)
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(k4_xboole_0(X0,X1)))) ),
inference(superposition,[status(thm)],[c_348640,c_2400]) ).
tcf(c_354474,plain,
( v1_membered(sK47(k5_finsub_1(k1_numbers)))
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_348640,c_326348]) ).
tcf(c_354475,plain,
( v2_membered(sK47(k5_finsub_1(k1_numbers)))
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_348640,c_326347]) ).
tcf(c_354476,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))))
| r1_tarski(sK47(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK47(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK47(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))))) ),
inference(superposition,[status(thm)],[c_348640,c_323864]) ).
tcf(c_354477,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(k7_lopclset(X1))))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,sK47(k5_finsub_1(k7_lopclset(X1)))) ),
inference(superposition,[status(thm)],[c_348640,c_344348]) ).
tcf(c_354478,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(k4_xboole_0(k7_lopclset(X0),X1))))
| r1_tarski(sK47(k5_finsub_1(k4_xboole_0(k7_lopclset(X0),X1))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_348640,c_345271]) ).
tcf(c_354479,plain,
( r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))
| r1_tarski(sK24,k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_348640,c_347073]) ).
tcf(c_354481,plain,
( r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))))
| r1_xboole_0(sK47(k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_348640,c_347200]) ).
tcf(c_354482,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK47(k5_finsub_1(X1)),X1)
| r1_tarski(X0,k4_xboole_0(sK24,k5_finsub_1(X1)))
| ~ r1_tarski(X0,sK24) ),
inference(superposition,[status(thm)],[c_348640,c_97]) ).
tcf(c_354483,plain,
! [X0: $i] :
( r1_tarski(sK47(k5_finsub_1(X0)),X0)
| ( k4_xboole_0(sK24,k5_finsub_1(X0)) = sK24 )
| ~ r1_tarski(k4_xboole_0(sK24,k5_finsub_1(X0)),sK24) ),
inference(superposition,[status(thm)],[c_348640,c_98]) ).
tcf(c_354484,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK24,X1)
| r1_tarski(sK47(k5_finsub_1(X0)),X0)
| ~ r1_xboole_0(k4_xboole_0(sK24,k5_finsub_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_348640,c_2433]) ).
tcf(c_354485,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK47(k5_finsub_1(X1)),X1)
| r2_hidden(X0,k4_xboole_0(sK24,k5_finsub_1(X1)))
| ~ r2_hidden(X0,sK24) ),
inference(superposition,[status(thm)],[c_348640,c_104]) ).
tcf(c_354486,plain,
! [X0: $i] :
( v1_xboole_0(sK24)
| r1_tarski(sK47(k5_finsub_1(X0)),X0)
| ~ r1_xboole_0(sK24,k4_xboole_0(sK24,k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_348640,c_2426]) ).
tcf(c_354487,plain,
! [X0: $i] :
( r1_tarski(sK47(k5_finsub_1(X0)),X0)
| ( k4_xboole_0(sK24,k4_xboole_0(sK24,k5_finsub_1(X0))) = np__0 ) ),
inference(superposition,[status(thm)],[c_348640,c_817]) ).
tcf(c_354488,plain,
! [X0: $i] :
( r1_tarski(sK47(k5_finsub_1(X0)),X0)
| ( k2_xboole_0(sK24,k4_xboole_0(sK24,k5_finsub_1(X0))) = k4_xboole_0(sK24,k5_finsub_1(X0)) ) ),
inference(superposition,[status(thm)],[c_348640,c_513]) ).
tcf(c_354489,plain,
! [X0: $i] :
( v1_membered(sK24)
| r1_tarski(sK47(k5_finsub_1(X0)),X0)
| ~ v1_membered(k4_xboole_0(sK24,k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_348640,c_2460]) ).
tcf(c_354490,plain,
! [X0: $i] :
( v1_finset_1(sK24)
| r1_tarski(sK47(k5_finsub_1(X0)),X0)
| ~ v1_finset_1(k4_xboole_0(sK24,k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_348640,c_872]) ).
tcf(c_354491,plain,
! [X0: $i] :
( v1_relat_1(sK24)
| r1_tarski(sK47(k5_finsub_1(X0)),X0)
| ~ v1_relat_1(k4_xboole_0(sK24,k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_348640,c_70]) ).
tcf(c_354492,plain,
! [X0: $i] :
( r1_tarski(sK47(k5_finsub_1(X0)),X0)
| ~ r2_hidden(k4_xboole_0(sK24,k5_finsub_1(X0)),sK24) ),
inference(superposition,[status(thm)],[c_348640,c_69]) ).
tcf(c_354493,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK24)
| m1_subset_1(sK25(X0,sK24),X0)
| r1_tarski(sK47(k5_finsub_1(X1)),X1)
| ~ r1_tarski(X0,k4_xboole_0(sK24,k5_finsub_1(X1))) ),
inference(superposition,[status(thm)],[c_348640,c_97752]) ).
tcf(c_354494,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_tarski(sK24,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(sK47(k5_finsub_1(X1)),X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(sK24,k7_lopclset(X0)) ),
inference(superposition,[status(thm)],[c_348640,c_345270]) ).
tcf(c_354495,plain,
! [X0: $i] :
( r1_xboole_0(sK24,k5_finsub_1(X0))
| r1_tarski(sK47(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_348640,c_2401]) ).
tcf(c_354496,plain,
! [X0: $i] :
( r1_tarski(sK24,sK24)
| r1_tarski(sK47(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_348640,c_2400]) ).
tcf(c_354503,plain,
! [X0: $i] :
( r1_tarski(np__0,X0)
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(np__0))) ),
inference(light_normalisation,[status(thm)],[c_354467,c_327546]) ).
tcf(c_354528,plain,
! [X0: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(X0)))
| ( k2_xboole_0(X0,sK47(k5_finsub_1(X0))) = X0 ) ),
inference(theory_normalisation,[status(thm)],[c_354461,c_521,c_524]) ).
tcf(c_354567,plain,
! [X0: $i] :
( r1_tarski(sK47(k5_finsub_1(X0)),X0)
| ( k4_xboole_0(sK24,k5_finsub_1(X0)) = sK24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_354483,c_819]) ).
tcf(c_354745,plain,
r1_tarski(sK24,k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))),
inference(demodulation,[status(thm)],[c_348652,c_330898]) ).
tcf(c_354746,plain,
! [X0: $i] :
( r1_tarski(X0,k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))))
| ~ r1_tarski(X0,sK24) ),
inference(superposition,[status(thm)],[c_354745,c_97]) ).
tcf(c_354747,plain,
( ( k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))) = sK24 )
| ~ r1_tarski(k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),sK24) ),
inference(superposition,[status(thm)],[c_354745,c_98]) ).
tcf(c_354748,plain,
! [X0: $i] :
( r1_xboole_0(sK24,X0)
| ~ r1_xboole_0(k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),X0) ),
inference(superposition,[status(thm)],[c_354745,c_2433]) ).
tcf(c_354749,plain,
! [X0: $i] :
( r2_hidden(X0,k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))))
| ~ r2_hidden(X0,sK24) ),
inference(superposition,[status(thm)],[c_354745,c_104]) ).
tcf(c_354750,plain,
( v1_xboole_0(sK24)
| ~ r1_xboole_0(sK24,k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_354745,c_2426]) ).
tcf(c_354751,plain,
k4_xboole_0(sK24,k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) = np__0,
inference(superposition,[status(thm)],[c_354745,c_817]) ).
tcf(c_354752,plain,
k2_xboole_0(sK24,k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) = k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),
inference(superposition,[status(thm)],[c_354745,c_513]) ).
tcf(c_354753,plain,
( v1_membered(sK24)
| ~ v1_membered(k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_354745,c_2460]) ).
tcf(c_354754,plain,
( v1_finset_1(sK24)
| ~ v1_finset_1(k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_354745,c_872]) ).
tcf(c_354755,plain,
( v1_relat_1(sK24)
| ~ v1_relat_1(k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_354745,c_70]) ).
tcf(c_354756,plain,
~ r2_hidden(k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))),sK24),
inference(superposition,[status(thm)],[c_354745,c_69]) ).
tcf(c_354757,plain,
! [X0: $i] :
( r1_tarski(X0,sK24)
| m1_subset_1(sK25(X0,sK24),X0)
| ~ r1_tarski(X0,k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_354745,c_97752]) ).
tcf(c_354778,plain,
k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))) = sK24,
inference(forward_subsumption_resolution,[status(thm)],[c_354747,c_819]) ).
tcf(c_354780,plain,
r1_tarski(sK24,k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0))),
inference(demodulation,[status(thm)],[c_348654,c_330898]) ).
tcf(c_354781,plain,
! [X0: $i] :
( r1_tarski(X0,k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0)))
| ~ r1_tarski(X0,sK24) ),
inference(superposition,[status(thm)],[c_354780,c_97]) ).
tcf(c_354782,plain,
( ( k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0)) = sK24 )
| ~ r1_tarski(k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0)),sK24) ),
inference(superposition,[status(thm)],[c_354780,c_98]) ).
tcf(c_354783,plain,
! [X0: $i] :
( r1_xboole_0(sK24,X0)
| ~ r1_xboole_0(k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0)),X0) ),
inference(superposition,[status(thm)],[c_354780,c_2433]) ).
tcf(c_354784,plain,
! [X0: $i] :
( r2_hidden(X0,k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0)))
| ~ r2_hidden(X0,sK24) ),
inference(superposition,[status(thm)],[c_354780,c_104]) ).
tcf(c_354785,plain,
( v1_xboole_0(sK24)
| ~ r1_xboole_0(sK24,k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0))) ),
inference(superposition,[status(thm)],[c_354780,c_2426]) ).
tcf(c_354786,plain,
k4_xboole_0(sK24,k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0))) = np__0,
inference(superposition,[status(thm)],[c_354780,c_817]) ).
tcf(c_354787,plain,
k2_xboole_0(sK24,k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0))) = k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0)),
inference(superposition,[status(thm)],[c_354780,c_513]) ).
tcf(c_354788,plain,
( v1_membered(sK24)
| ~ v1_membered(k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0))) ),
inference(superposition,[status(thm)],[c_354780,c_2460]) ).
tcf(c_354789,plain,
( v1_finset_1(sK24)
| ~ v1_finset_1(k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0))) ),
inference(superposition,[status(thm)],[c_354780,c_872]) ).
tcf(c_354790,plain,
( v1_relat_1(sK24)
| ~ v1_relat_1(k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0))) ),
inference(superposition,[status(thm)],[c_354780,c_70]) ).
tcf(c_354791,plain,
~ r2_hidden(k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0)),sK24),
inference(superposition,[status(thm)],[c_354780,c_69]) ).
tcf(c_354792,plain,
! [X0: $i] :
( r1_tarski(X0,sK24)
| m1_subset_1(sK25(X0,sK24),X0)
| ~ r1_tarski(X0,k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0))) ),
inference(superposition,[status(thm)],[c_354780,c_97752]) ).
tcf(c_354813,plain,
k4_xboole_0(sK24,sK25(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),np__0)) = sK24,
inference(forward_subsumption_resolution,[status(thm)],[c_354782,c_819]) ).
tcf(c_354823,plain,
( r1_tarski(np__0,np__0)
| r1_xboole_0(k5_finsub_1(np__0),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_327546,c_349075]) ).
tcf(c_354824,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_xboole_0(k5_finsub_1(X1),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_tarski(X0,sK47(k5_finsub_1(X1))) ),
inference(superposition,[status(thm)],[c_349075,c_97]) ).
tcf(c_354825,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(X0),sK47(a_2_0_lopclset(sK23,sK24)))
| ( sK47(k5_finsub_1(X0)) = X0 )
| ~ r1_tarski(X0,sK47(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_349075,c_98]) ).
tcf(c_354826,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK47(k5_finsub_1(X0)),X1)
| r1_xboole_0(k5_finsub_1(X0),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_349075,c_2433]) ).
tcf(c_354827,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| r1_xboole_0(k5_finsub_1(X1),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(X0,sK47(k5_finsub_1(X1))) ),
inference(superposition,[status(thm)],[c_349075,c_104]) ).
tcf(c_354828,plain,
! [X0: $i] :
( v1_xboole_0(sK47(k5_finsub_1(X0)))
| r1_xboole_0(k5_finsub_1(X0),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r1_xboole_0(sK47(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_349075,c_2426]) ).
tcf(c_354829,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(X0),sK47(a_2_0_lopclset(sK23,sK24)))
| ( k4_xboole_0(sK47(k5_finsub_1(X0)),X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_349075,c_817]) ).
tcf(c_354830,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(X0),sK47(a_2_0_lopclset(sK23,sK24)))
| ( k2_xboole_0(sK47(k5_finsub_1(X0)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_349075,c_513]) ).
tcf(c_354831,plain,
! [X0: $i] :
( v1_membered(sK47(k5_finsub_1(X0)))
| r1_xboole_0(k5_finsub_1(X0),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_349075,c_2460]) ).
tcf(c_354832,plain,
! [X0: $i] :
( v1_finset_1(sK47(k5_finsub_1(X0)))
| r1_xboole_0(k5_finsub_1(X0),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_349075,c_872]) ).
tcf(c_354833,plain,
! [X0: $i] :
( v1_relat_1(sK47(k5_finsub_1(X0)))
| r1_xboole_0(k5_finsub_1(X0),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_349075,c_70]) ).
tcf(c_354834,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(X0),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(X0,sK47(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_349075,c_69]) ).
tcf(c_354835,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK47(k5_finsub_1(X1)))
| r1_xboole_0(k5_finsub_1(X1),sK47(a_2_0_lopclset(sK23,sK24)))
| m1_subset_1(sK25(X0,sK47(k5_finsub_1(X1))),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_349075,c_97752]) ).
tcf(c_354836,plain,
! [X0: $i] :
( r1_tarski(sK47(k5_finsub_1(np__0)),X0)
| r1_xboole_0(k5_finsub_1(np__0),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_349075,c_330496]) ).
tcf(c_354838,plain,
! [X0: $i,X1: $i] :
( m1_relset_1(sK47(k5_finsub_1(k2_zfmisc_1(X0,X1))),X0,X1)
| r1_xboole_0(k5_finsub_1(k2_zfmisc_1(X0,X1)),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_349075,c_1062]) ).
tcf(c_354839,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(k2_xboole_0(X0,X1)),sK47(a_2_0_lopclset(sK23,sK24)))
| r1_tarski(k4_xboole_0(sK47(k5_finsub_1(k2_xboole_0(X0,X1))),X0),X1) ),
inference(superposition,[status(thm)],[c_349075,c_495]) ).
tcf(c_354840,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_xboole_0(k5_finsub_1(k4_xboole_0(X0,X2)),sK47(a_2_0_lopclset(sK23,sK24)))
| r1_tarski(sK47(k5_finsub_1(k4_xboole_0(X0,X2))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,k7_lopclset(X1)) ),
inference(superposition,[status(thm)],[c_349075,c_345270]) ).
tcf(c_354841,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(sK47(k5_finsub_1(k4_xboole_0(X0,X1))),X1)
| r1_xboole_0(k5_finsub_1(k4_xboole_0(X0,X1)),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_349075,c_2401]) ).
tcf(c_354842,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK47(k5_finsub_1(k4_xboole_0(X0,X1))),X0)
| r1_xboole_0(k5_finsub_1(k4_xboole_0(X0,X1)),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_349075,c_2400]) ).
tcf(c_354843,plain,
( v1_membered(sK47(k5_finsub_1(k1_numbers)))
| r1_xboole_0(k5_finsub_1(k1_numbers),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_349075,c_326348]) ).
tcf(c_354844,plain,
( v2_membered(sK47(k5_finsub_1(k1_numbers)))
| r1_xboole_0(k5_finsub_1(k1_numbers),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_349075,c_326347]) ).
tcf(c_354845,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),sK47(a_2_0_lopclset(sK23,sK24)))
| r1_tarski(sK47(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))),k1_zfmisc_1(k4_xboole_0(X0,X1)))
| m1_subset_1(sK25(sK47(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))),k1_zfmisc_1(k4_xboole_0(X0,X1))),sK47(k5_finsub_1(k2_xboole_0(k5_finsub_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))))) ),
inference(superposition,[status(thm)],[c_349075,c_323864]) ).
tcf(c_354846,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1)))
| r1_xboole_0(k5_finsub_1(k7_lopclset(X1)),sK47(a_2_0_lopclset(sK23,sK24)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,sK47(k5_finsub_1(k7_lopclset(X1)))) ),
inference(superposition,[status(thm)],[c_349075,c_344348]) ).
tcf(c_354847,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X0)
| r1_xboole_0(k5_finsub_1(k4_xboole_0(k7_lopclset(X0),X1)),sK47(a_2_0_lopclset(sK23,sK24)))
| r1_tarski(sK47(k5_finsub_1(k4_xboole_0(k7_lopclset(X0),X1))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_349075,c_345271]) ).
tcf(c_354848,plain,
( r1_xboole_0(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK47(a_2_0_lopclset(sK23,sK24)))
| r1_tarski(sK24,k4_xboole_0(sK24,sK47(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))))) ),
inference(superposition,[status(thm)],[c_349075,c_347073]) ).
tcf(c_354850,plain,
( r1_xboole_0(k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),sK47(a_2_0_lopclset(sK23,sK24)))
| r1_xboole_0(sK47(k5_finsub_1(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_349075,c_347200]) ).
tcf(c_354851,plain,
! [X0: $i] :
( r1_tarski(sK47(k5_finsub_1(X0)),X0)
| ( k4_xboole_0(k5_finsub_1(X0),sK47(a_2_0_lopclset(sK23,sK24))) = k5_finsub_1(X0) ) ),
inference(superposition,[status(thm)],[c_349075,c_2410]) ).
tcf(c_354852,plain,
! [X0: $i] :
( r1_tarski(sK47(k5_finsub_1(X0)),X0)
| r1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_349075,c_2434]) ).
tcf(c_354859,plain,
! [X0: $i] :
( r1_tarski(np__0,X0)
| r1_xboole_0(k5_finsub_1(np__0),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(light_normalisation,[status(thm)],[c_354836,c_327546]) ).
tcf(c_354871,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(X0),sK47(a_2_0_lopclset(sK23,sK24)))
| ( k2_xboole_0(X0,sK47(k5_finsub_1(X0))) = X0 ) ),
inference(theory_normalisation,[status(thm)],[c_354830,c_521,c_524]) ).
tcf(c_354901,plain,
( r1_tarski(sK24,sK24)
| r1_xboole_0(k5_finsub_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(light_normalisation,[status(thm)],[c_354848,c_354778]) ).
tcf(c_354976,plain,
m1_subset_1(sK47(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),
inference(superposition,[status(thm)],[c_328348,c_347240]) ).
tcf(c_354977,plain,
r2_hidden(sK47(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),
inference(superposition,[status(thm)],[c_326624,c_347240]) ).
tcf(c_354978,plain,
~ v1_xboole_0(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24))),
inference(superposition,[status(thm)],[c_326591,c_347240]) ).
tcf(c_354984,plain,
! [X0: $i] :
( r1_xboole_0(k2_tarski(X0,X0),sK24)
| ( k4_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),k2_tarski(X0,X0)) = k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) ) ),
inference(superposition,[status(thm)],[c_802,c_347850]) ).
tcf(c_354985,plain,
! [X0: $i] :
( r1_tarski(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)
| r1_xboole_0(k2_tarski(sK28(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0),sK28(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)),sK24) ),
inference(superposition,[status(thm)],[c_103,c_347850]) ).
tcf(c_354986,plain,
( r1_xboole_0(k2_tarski(sK41(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK41(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24)
| ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 ) ),
inference(superposition,[status(thm)],[c_167,c_347850]) ).
tcf(c_354987,plain,
( v1_realset1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(k2_tarski(sK72(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK72(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) ),
inference(superposition,[status(thm)],[c_337,c_347850]) ).
tcf(c_354988,plain,
( v1_realset1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(k2_tarski(sK73(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK73(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) ),
inference(superposition,[status(thm)],[c_338,c_347850]) ).
tcf(c_354989,plain,
( v1_relat_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(k2_tarski(sK115(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK115(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) ),
inference(superposition,[status(thm)],[c_346237,c_347850]) ).
tcf(c_354990,plain,
( r1_xboole_0(k2_tarski(sK118(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK118(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24)
| ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 ) ),
inference(superposition,[status(thm)],[c_558,c_347850]) ).
tcf(c_354991,plain,
( sP0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| v1_funct_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(k2_tarski(sK124(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK124(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) ),
inference(superposition,[status(thm)],[c_569,c_347850]) ).
tcf(c_354992,plain,
( sP0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| v1_relat_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(k2_tarski(sK124(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK124(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) ),
inference(superposition,[status(thm)],[c_567,c_347850]) ).
tcf(c_354993,plain,
( v1_relat_1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(k2_tarski(sK137(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK137(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) ),
inference(superposition,[status(thm)],[c_587,c_347850]) ).
tcf(c_354999,plain,
( v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(k2_tarski(sK354(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK354(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24)
| ~ v1_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_1801,c_347850]) ).
tcf(c_355000,plain,
( v1_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(k2_tarski(sK355(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK355(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) ),
inference(superposition,[status(thm)],[c_1803,c_347850]) ).
tcf(c_355001,plain,
( v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(k2_tarski(sK401(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK401(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24)
| ~ v5_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_2039,c_347850]) ).
tcf(c_355002,plain,
( v5_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(k2_tarski(sK402(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK402(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) ),
inference(superposition,[status(thm)],[c_2041,c_347850]) ).
tcf(c_355003,plain,
( r1_xboole_0(k2_tarski(sK432(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK432(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24)
| ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 ) ),
inference(superposition,[status(thm)],[c_2378,c_347850]) ).
tcf(c_355004,plain,
( r1_xboole_0(k2_tarski(sK433(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK433(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24)
| ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 ) ),
inference(superposition,[status(thm)],[c_2380,c_347850]) ).
tcf(c_355005,plain,
( r1_xboole_0(k2_tarski(sK434(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK434(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24)
| ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 ) ),
inference(superposition,[status(thm)],[c_2382,c_347850]) ).
tcf(c_355006,plain,
( r1_xboole_0(k2_tarski(sK435(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK435(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24)
| ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 ) ),
inference(superposition,[status(thm)],[c_2384,c_347850]) ).
tcf(c_355007,plain,
( r1_xboole_0(k2_tarski(sK436(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK436(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24)
| ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 ) ),
inference(superposition,[status(thm)],[c_2386,c_347850]) ).
tcf(c_355008,plain,
( r1_xboole_0(k2_tarski(sK437(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK437(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24)
| ( k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)) = np__0 ) ),
inference(superposition,[status(thm)],[c_2388,c_347850]) ).
tcf(c_355009,plain,
! [X0: $i] :
( r1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)
| r1_xboole_0(k2_tarski(sK439(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0),sK439(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)),sK24) ),
inference(superposition,[status(thm)],[c_2439,c_347850]) ).
tcf(c_355010,plain,
! [X0: $i] :
( r1_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(k2_tarski(sK439(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK439(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) ),
inference(superposition,[status(thm)],[c_2440,c_347850]) ).
tcf(c_355011,plain,
( v1_membered(k3_tarski(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))))
| r1_xboole_0(k2_tarski(sK441(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK441(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) ),
inference(superposition,[status(thm)],[c_2459,c_347850]) ).
tcf(c_355015,plain,
( v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(k2_tarski(sK47(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK47(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) ),
inference(superposition,[status(thm)],[c_329782,c_347850]) ).
tcf(c_355023,plain,
( v1_realset1(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(k2_tarski(sK47(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK47(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) ),
inference(superposition,[status(thm)],[c_326627,c_347850]) ).
tcf(c_355024,plain,
( v1_xboole_0(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))
| r1_xboole_0(k2_tarski(sK29(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK29(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24) ),
inference(superposition,[status(thm)],[c_329379,c_347850]) ).
tcf(c_355025,plain,
r1_xboole_0(k2_tarski(sK29(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK29(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_355024,c_1377]) ).
tcf(c_355034,plain,
r1_xboole_0(k2_tarski(sK47(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK47(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_355015,c_1377]) ).
tcf(c_355047,plain,
r1_xboole_0(k2_tarski(sK437(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK437(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_355008,c_331682]) ).
tcf(c_355048,plain,
r1_xboole_0(k2_tarski(sK436(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK436(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_355007,c_331682]) ).
tcf(c_355049,plain,
r1_xboole_0(k2_tarski(sK435(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK435(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_355006,c_331682]) ).
tcf(c_355050,plain,
r1_xboole_0(k2_tarski(sK434(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK434(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_355005,c_331682]) ).
tcf(c_355051,plain,
r1_xboole_0(k2_tarski(sK433(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK433(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_355004,c_331682]) ).
tcf(c_355052,plain,
r1_xboole_0(k2_tarski(sK432(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK432(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_355003,c_331682]) ).
tcf(c_355053,plain,
r1_xboole_0(k2_tarski(sK118(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK118(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_354990,c_331682]) ).
tcf(c_355054,plain,
r1_xboole_0(k2_tarski(sK41(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK41(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24),
inference(forward_subsumption_resolution,[status(thm)],[c_354986,c_331682]) ).
tcf(c_355075,plain,
( r1_xboole_0(k2_tarski(sK401(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK401(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24)
| ~ v5_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_355001,c_1377]) ).
tcf(c_355078,plain,
( r1_xboole_0(k2_tarski(sK354(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))),sK354(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)))),sK24)
| ~ v1_membered(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_354999,c_1377]) ).
tcf(c_355138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| m1_subset_1(sK47(X3),X3)
| r1_tarski(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_328348,c_345277]) ).
tcf(c_355139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r2_hidden(sK47(X3),X3)
| r1_tarski(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_326624,c_345277]) ).
tcf(c_355140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_tarski(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_xboole_0(X3)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_326591,c_345277]) ).
tcf(c_355141,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_tarski(np__0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_96,c_345277]) ).
tcf(c_355142,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_tarski(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_101,c_345277]) ).
tcf(c_355143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X2,X3)
| r1_tarski(k2_tarski(X0,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X3,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r2_hidden(X0,sK26(k5_finsub_1(k7_lopclset(X1)),X2,X3)) ),
inference(superposition,[status(thm)],[c_281,c_345277]) ).
tcf(c_355144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_tarski(k2_relat_1(sK89(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2),X3)),k1_zfmisc_1(u1_struct_0(X1)))
| ( sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2) = np__0 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_406,c_345277]) ).
tcf(c_355145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X1)
| r1_tarski(X2,X3)
| r1_tarski(k4_xboole_0(X0,X4),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X3,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,sK26(k5_finsub_1(k7_lopclset(X1)),X2,X3)) ),
inference(superposition,[status(thm)],[c_812,c_345277]) ).
tcf(c_355146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_tarski(k4_xboole_0(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2),X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_819,c_345277]) ).
tcf(c_355147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X0)
| r1_tarski(X1,X2)
| r1_tarski(k7_relat_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2),X3),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X0)))
| ~ r1_tarski(X1,k5_finsub_1(k7_lopclset(X0)))
| ~ v1_relat_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)) ),
inference(superposition,[status(thm)],[c_2269,c_345277]) ).
tcf(c_355148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_tarski(k1_relat_1(k7_relat_1(X3,sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_relat_1(X3)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_2270,c_345277]) ).
tcf(c_355149,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| v1_xboole_0(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2))
| r1_tarski(sK53(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_326377,c_345277]) ).
tcf(c_355150,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| v1_xboole_0(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2))
| r1_tarski(sK210(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_326378,c_345277]) ).
tcf(c_355151,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| v1_xboole_0(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2))
| r1_tarski(sK211(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_326379,c_345277]) ).
tcf(c_355152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X1)
| r1_tarski(X4,X0)
| r1_tarski(X2,X3)
| r1_tarski(sK26(k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X1)),X2,X3)),X4,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X3,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X4,k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X1)),X2,X3)))
| ~ r1_tarski(X0,k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X1)),X2,X3))) ),
inference(superposition,[status(thm)],[c_323884,c_345277]) ).
tcf(c_355153,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_tarski(sK29(k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_323947,c_345277]) ).
tcf(c_355154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_realset2(X0)
| r1_tarski(X1,X2)
| r1_tarski(k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),k4_xboole_0(X5,k4_xboole_0(X5,k2_xboole_0(X4,X3))))
| r1_tarski(sK25(k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),k4_xboole_0(X5,k4_xboole_0(X5,k2_xboole_0(X3,X4)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X0)))
| ~ r1_tarski(X1,k5_finsub_1(k7_lopclset(X0)))
| ~ r1_tarski(k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),k2_xboole_0(X3,X4)) ),
inference(superposition,[status(thm)],[c_327049,c_345277]) ).
tcf(c_355155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_tarski(sK47(k5_finsub_1(X3)),X3)
| r1_tarski(k5_finsub_1(X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_330228,c_345277]) ).
tcf(c_355156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_tarski(k4_xboole_0(X3,k4_xboole_0(X3,sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_324338,c_345277]) ).
tcf(c_355157,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| v1_xboole_0(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2))
| r1_tarski(sK207(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_325276,c_345277]) ).
tcf(c_355158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_tarski(k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2)),X3)
| r1_tarski(sK25(k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2)),X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_328506,c_345277]) ).
tcf(c_355159,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_tarski(sK29(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_326374,c_345277]) ).
tcf(c_355160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X1)
| r1_tarski(X4,X0)
| r1_tarski(X2,X3)
| r1_tarski(sK26(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X1)),X2,X3)),X4,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X3,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X4,k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X1)),X2,X3)))
| ~ r1_tarski(X0,k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X1)),X2,X3))) ),
inference(superposition,[status(thm)],[c_326381,c_345277]) ).
tcf(c_355161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_realset2(X0)
| r1_tarski(X1,X2)
| r1_tarski(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),k4_xboole_0(X5,k4_xboole_0(X5,k2_xboole_0(X3,X4))))
| r1_tarski(sK25(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),k4_xboole_0(X5,k4_xboole_0(X5,k2_xboole_0(X4,X3)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X0)))
| ~ r1_tarski(X1,k5_finsub_1(k7_lopclset(X0)))
| ~ r1_tarski(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),k2_xboole_0(X3,X4)) ),
inference(superposition,[status(thm)],[c_328021,c_345277]) ).
tcf(c_355162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_realset2(X0)
| r1_tarski(X1,X2)
| r1_tarski(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),k4_xboole_0(X5,k4_xboole_0(X5,k2_xboole_0(X4,X3))))
| r1_tarski(sK25(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),k4_xboole_0(X5,k4_xboole_0(X5,k2_xboole_0(X4,X3)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X0)))
| ~ r1_tarski(X1,k5_finsub_1(k7_lopclset(X0)))
| ~ r1_tarski(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),k2_xboole_0(X3,X4)) ),
inference(superposition,[status(thm)],[c_326382,c_345277]) ).
tcf(c_355163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_realset2(X0)
| r1_tarski(X1,X2)
| r1_tarski(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),k4_xboole_0(X5,k4_xboole_0(X5,k2_xboole_0(X4,X3))))
| r1_tarski(sK25(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),k4_xboole_0(X5,k4_xboole_0(X5,k2_xboole_0(X3,X4)))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X0)))
| ~ r1_tarski(X1,k5_finsub_1(k7_lopclset(X0)))
| ~ r1_tarski(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),k2_xboole_0(X3,X4)) ),
inference(superposition,[status(thm)],[c_327861,c_345277]) ).
tcf(c_355164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_realset2(X0)
| r1_tarski(X5,X4)
| r1_tarski(X1,X2)
| r1_tarski(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),sK26(k5_finsub_1(X3),X5,X4))
| r1_tarski(sK25(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),sK26(k5_finsub_1(X3),X5,X4)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(X5,k5_finsub_1(X3))
| ~ r1_tarski(X4,k5_finsub_1(X3))
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X0)))
| ~ r1_tarski(X1,k5_finsub_1(k7_lopclset(X0)))
| ~ r1_tarski(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_326385,c_345277]) ).
tcf(c_355165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_tarski(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2)),X3)
| r1_tarski(sK28(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2)),X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_326593,c_345277]) ).
tcf(c_355166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_tarski(k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2)),k2_xboole_0(X4,X3))
| r1_tarski(sK25(k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2)),k2_xboole_0(X3,X4)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_330258,c_345277]) ).
tcf(c_355167,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_tarski(sK47(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_328444,c_345277]) ).
tcf(c_355168,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_xboole_0(k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2)),sK47(a_2_0_lopclset(sK23,sK24)))
| r1_tarski(sK47(k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_349075,c_345277]) ).
tcf(c_355169,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_tarski(sK24,k4_xboole_0(sK24,k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2))))
| r1_tarski(sK47(k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_348640,c_345277]) ).
tcf(c_355170,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_xboole_0(k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2)),sK24)
| r1_tarski(sK47(k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_347864,c_345277]) ).
tcf(c_355171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_tarski(k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2)),X3)
| r1_tarski(sK47(k5_finsub_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_330228,c_345277]) ).
tcf(c_355172,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| r1_tarski(X0,X2)
| r1_tarski(sK25(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X1)),X0,X2)),np__0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X1)))
| ~ r1_tarski(X0,k5_finsub_1(k7_lopclset(X1))) ),
inference(superposition,[status(thm)],[c_328139,c_345277]) ).
tcf(c_355173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X0)
| r1_tarski(X1,X2)
| r1_tarski(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),k4_xboole_0(X4,k4_xboole_0(X4,X3)))
| r1_tarski(sK25(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),k4_xboole_0(X4,k4_xboole_0(X4,X3))),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X0)))
| ~ r1_tarski(X1,k5_finsub_1(k7_lopclset(X0)))
| ~ r1_tarski(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_331985,c_345277]) ).
tcf(c_355174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_realset2(X0)
| r1_tarski(X1,X2)
| r1_tarski(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),k2_xboole_0(X4,X3))
| r1_tarski(sK25(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),k2_xboole_0(X4,X3)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ r1_tarski(X2,k5_finsub_1(k7_lopclset(X0)))
| ~ r1_tarski(X1,k5_finsub_1(k7_lopclset(X0)))
| ~ r1_tarski(k1_zfmisc_1(sK26(k5_finsub_1(k7_lopclset(X0)),X1,X2)),k2_xboole_0(X3,X4)) ),
inference(superposition,[status(thm)],[c_331819,c_345277]) ).
tcf(c_355565,plain,
! [X0: $i] :
( ( sK42(X0,np__0) = np__0 )
| ~ v1_funct_1(sK42(X0,np__0)) ),
inference(superposition,[status(thm)],[c_170,c_137]) ).
tcf(c_355566,plain,
! [X0: $i] :
( ( sK324(np__0,X0) = np__0 )
| ~ m2_relset_1(X0,np__0,np__0)
| ~ v1_funct_1(sK324(np__0,X0)) ),
inference(superposition,[status(thm)],[c_1614,c_137]) ).
tcf(c_355567,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_finseq_1(X0,np__0) ),
inference(superposition,[status(thm)],[c_2194,c_137]) ).
tcf(c_355568,plain,
! [X0: $i] :
( ( sK237(X0,np__0) = np__0 )
| ~ v1_funct_1(sK237(X0,np__0)) ),
inference(superposition,[status(thm)],[c_331330,c_137]) ).
tcf(c_355569,plain,
! [X0: $i] :
( ( sK238(X0,np__0) = np__0 )
| ~ v1_funct_1(sK238(X0,np__0)) ),
inference(superposition,[status(thm)],[c_331331,c_137]) ).
tcf(c_355570,plain,
! [X0: $i] :
( ( sK239(X0,np__0) = np__0 )
| ~ v1_funct_1(sK239(X0,np__0)) ),
inference(superposition,[status(thm)],[c_331332,c_137]) ).
tcf(c_355571,plain,
( ( sK414(np__0) = np__0 )
| ~ v1_funct_1(sK414(np__0)) ),
inference(superposition,[status(thm)],[c_331333,c_137]) ).
tcf(c_355573,plain,
sK414(np__0) = np__0,
inference(forward_subsumption_resolution,[status(thm)],[c_355571,c_2214]) ).
tcf(c_355576,plain,
! [X0: $i] : sK238(X0,np__0) = np__0,
inference(forward_subsumption_resolution,[status(thm)],[c_355569,c_1058]) ).
tcf(c_355577,plain,
! [X0: $i] : sK237(X0,np__0) = np__0,
inference(forward_subsumption_resolution,[status(thm)],[c_355568,c_1054]) ).
tcf(c_355599,plain,
! [X0: $i] :
( ( sK42(np__0,X0) = np__0 )
| ~ v1_funct_1(sK42(np__0,X0)) ),
inference(superposition,[status(thm)],[c_170,c_139]) ).
tcf(c_355601,plain,
! [X0: $i] :
( ( sK237(np__0,X0) = np__0 )
| ~ v1_funct_1(sK237(np__0,X0)) ),
inference(superposition,[status(thm)],[c_331330,c_139]) ).
tcf(c_355602,plain,
! [X0: $i] :
( ( sK238(np__0,X0) = np__0 )
| ~ v1_funct_1(sK238(np__0,X0)) ),
inference(superposition,[status(thm)],[c_331331,c_139]) ).
tcf(c_355603,plain,
! [X0: $i] :
( ( sK239(np__0,X0) = np__0 )
| ~ v1_funct_1(sK239(np__0,X0)) ),
inference(superposition,[status(thm)],[c_331332,c_139]) ).
tcf(c_355607,plain,
! [X0: $i] : sK238(np__0,X0) = np__0,
inference(forward_subsumption_resolution,[status(thm)],[c_355602,c_1058]) ).
tcf(c_355608,plain,
! [X0: $i] : sK237(np__0,X0) = np__0,
inference(forward_subsumption_resolution,[status(thm)],[c_355601,c_1054]) ).
tcf(c_355621,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,k2_tarski(X2,X2)) = X0 )
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_802,c_184]) ).
tcf(c_355622,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_93,c_184]) ).
tcf(c_355623,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK28(X1,X2)) ),
inference(superposition,[status(thm)],[c_103,c_184]) ).
tcf(c_355624,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK41(X1)) ),
inference(superposition,[status(thm)],[c_167,c_184]) ).
tcf(c_355625,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK72(X1)) ),
inference(superposition,[status(thm)],[c_337,c_184]) ).
tcf(c_355626,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK73(X1)) ),
inference(superposition,[status(thm)],[c_338,c_184]) ).
tcf(c_355627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_528,c_184]) ).
tcf(c_355628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(k2_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_529,c_184]) ).
tcf(c_355629,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK115(X1)) ),
inference(superposition,[status(thm)],[c_346237,c_184]) ).
tcf(c_355630,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK118(X1)) ),
inference(superposition,[status(thm)],[c_558,c_184]) ).
tcf(c_355631,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| v1_funct_1(X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK124(X1)) ),
inference(superposition,[status(thm)],[c_569,c_184]) ).
tcf(c_355632,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| v1_relat_1(X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK124(X1)) ),
inference(superposition,[status(thm)],[c_567,c_184]) ).
tcf(c_355633,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK137(X1)) ),
inference(superposition,[status(thm)],[c_587,c_184]) ).
tcf(c_355634,plain,
! [X0: $i,X1: $i] :
( ~ v4_ordinal2(X0)
| ~ r2_hidden(X1,k2_xcmplx_0(X0,np__1))
| ~ r2_hidden(k2_finseq_1(k2_xcmplx_0(X0,np__1)),X1) ),
inference(superposition,[status(thm)],[c_1169,c_184]) ).
tcf(c_355635,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,k1_card_1(X0))
| ~ r2_hidden(k1_card_1(k1_zfmisc_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_1301,c_184]) ).
tcf(c_355638,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(k2_tarski(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1433,c_184]) ).
tcf(c_355639,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(k2_tarski(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1434,c_184]) ).
tcf(c_355641,plain,
! [X0: $i,X1: $i] :
( ~ v1_xreal_0(X1)
| ~ r2_hidden(k1_numbers,X0)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_1784,c_184]) ).
tcf(c_355642,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ v1_membered(X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK354(X1)) ),
inference(superposition,[status(thm)],[c_1801,c_184]) ).
tcf(c_355643,plain,
! [X0: $i,X1: $i] :
( v1_membered(X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK355(X1)) ),
inference(superposition,[status(thm)],[c_1803,c_184]) ).
tcf(c_355644,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ v4_ordinal2(X0)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(k2_finseq_1(X0),X1) ),
inference(superposition,[status(thm)],[c_2019,c_184]) ).
tcf(c_355645,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ v5_membered(X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK401(X1)) ),
inference(superposition,[status(thm)],[c_2039,c_184]) ).
tcf(c_355646,plain,
! [X0: $i,X1: $i] :
( v5_membered(X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK402(X1)) ),
inference(superposition,[status(thm)],[c_2041,c_184]) ).
tcf(c_355648,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK432(X1)) ),
inference(superposition,[status(thm)],[c_2378,c_184]) ).
tcf(c_355649,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK433(X1)) ),
inference(superposition,[status(thm)],[c_2380,c_184]) ).
tcf(c_355650,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK434(X1)) ),
inference(superposition,[status(thm)],[c_2382,c_184]) ).
tcf(c_355651,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK435(X1)) ),
inference(superposition,[status(thm)],[c_2384,c_184]) ).
tcf(c_355652,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK436(X1)) ),
inference(superposition,[status(thm)],[c_2386,c_184]) ).
tcf(c_355653,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK437(X1)) ),
inference(superposition,[status(thm)],[c_2388,c_184]) ).
tcf(c_355654,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X1,X2)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK439(X1,X2)) ),
inference(superposition,[status(thm)],[c_2439,c_184]) ).
tcf(c_355655,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X1,X2)
| ~ r2_hidden(X2,X0)
| ~ r2_hidden(X0,sK439(X1,X2)) ),
inference(superposition,[status(thm)],[c_2440,c_184]) ).
tcf(c_355656,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(X1))
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK441(X1)) ),
inference(superposition,[status(thm)],[c_2459,c_184]) ).
tcf(c_355658,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_331696,c_184]) ).
tcf(c_355661,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,np__0)
| ~ r2_hidden(k2_xboole_0(X0,k5_finsub_1(np__0)),X1) ),
inference(superposition,[status(thm)],[c_325404,c_184]) ).
tcf(c_355662,plain,
! [X0: $i] :
( ~ r2_hidden(X0,np__1)
| ~ r2_hidden(k2_finseq_1(np__1),X0) ),
inference(superposition,[status(thm)],[c_325622,c_184]) ).
tcf(c_355663,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,np__1)
| ~ r2_hidden(k2_xboole_0(X0,k2_finseq_1(np__1)),X1) ),
inference(superposition,[status(thm)],[c_325617,c_184]) ).
tcf(c_355664,plain,
! [X0: $i] :
( ~ r2_hidden(X0,np__1)
| ~ r2_hidden(k2_finseq_1(np__2),X0) ),
inference(superposition,[status(thm)],[c_325627,c_184]) ).
tcf(c_355665,plain,
! [X0: $i] :
( ~ r2_hidden(X0,np__2)
| ~ r2_hidden(k2_finseq_1(np__2),X0) ),
inference(superposition,[status(thm)],[c_325632,c_184]) ).
tcf(c_355666,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK24,k4_xboole_0(sK24,X1))
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK47(X1)) ),
inference(superposition,[status(thm)],[c_348622,c_184]) ).
tcf(c_355667,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X2,X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK47(X1)) ),
inference(superposition,[status(thm)],[c_328946,c_184]) ).
tcf(c_355668,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X1,X2)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK47(X1)) ),
inference(superposition,[status(thm)],[c_328923,c_184]) ).
tcf(c_355669,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK47(X1)) ),
inference(superposition,[status(thm)],[c_329782,c_184]) ).
tcf(c_355671,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(X1))
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK47(X1)) ),
inference(superposition,[status(thm)],[c_326636,c_184]) ).
tcf(c_355672,plain,
! [X0: $i,X1: $i] :
( v2_membered(X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK47(X1)) ),
inference(superposition,[status(thm)],[c_328340,c_184]) ).
tcf(c_355673,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK47(X1)) ),
inference(superposition,[status(thm)],[c_326624,c_184]) ).
tcf(c_355674,plain,
! [X0: $i,X1: $i] :
( v5_membered(X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK47(X1)) ),
inference(superposition,[status(thm)],[c_326635,c_184]) ).
tcf(c_355675,plain,
! [X0: $i,X1: $i] :
( v1_membered(X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK47(X1)) ),
inference(superposition,[status(thm)],[c_326634,c_184]) ).
tcf(c_355676,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK47(X1)) ),
inference(superposition,[status(thm)],[c_326629,c_184]) ).
tcf(c_355677,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK47(X1)) ),
inference(superposition,[status(thm)],[c_326627,c_184]) ).
tcf(c_355678,plain,
! [X0: $i] :
( ~ r2_hidden(k1_numbers,X0)
| ~ r2_hidden(X0,sK47(k1_numbers)) ),
inference(superposition,[status(thm)],[c_328582,c_184]) ).
tcf(c_355679,plain,
! [X0: $i] :
( ~ r2_hidden(k2_finseq_1(np__1),X0)
| ~ r2_hidden(X0,sK47(k2_finseq_1(np__1))) ),
inference(superposition,[status(thm)],[c_326640,c_184]) ).
tcf(c_355680,plain,
! [X0: $i] :
( ~ r2_hidden(k2_finseq_1(np__2),X0)
| ~ r2_hidden(X0,sK47(k2_finseq_1(np__2))) ),
inference(superposition,[status(thm)],[c_326642,c_184]) ).
tcf(c_355681,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,np__0)
| ~ r2_hidden(k2_xboole_0(k5_finsub_1(np__0),X0),X1) ),
inference(superposition,[status(thm)],[c_327061,c_184]) ).
tcf(c_355682,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,np__1)
| ~ r2_hidden(k2_xboole_0(k2_finseq_1(np__1),X0),X1) ),
inference(superposition,[status(thm)],[c_327064,c_184]) ).
tcf(c_355683,plain,
! [X0: $i] :
( ~ r2_hidden(a_2_0_lopclset(sK23,sK24),X0)
| ~ r2_hidden(X0,sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_328335,c_184]) ).
tcf(c_355684,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(k1_zfmisc_1(X1),X0)
| ~ r2_hidden(X0,sK47(k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_328343,c_184]) ).
tcf(c_355685,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK24)
| ~ r2_hidden(u1_struct_0(sK23),X0) ),
inference(superposition,[status(thm)],[c_329764,c_184]) ).
tcf(c_355686,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK29(X1)) ),
inference(superposition,[status(thm)],[c_329379,c_184]) ).
tcf(c_355687,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,np__0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_329441,c_184]) ).
tcf(c_355688,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X1,sK53(X0))
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_329489,c_184]) ).
tcf(c_355689,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X1,sK210(X0))
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_329483,c_184]) ).
tcf(c_355690,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X1,sK211(X0))
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_329480,c_184]) ).
tcf(c_355691,plain,
! [X0: $i] :
( ~ r2_hidden(k1_numbers,X0)
| ~ r2_hidden(X0,sK242) ),
inference(superposition,[status(thm)],[c_329435,c_184]) ).
tcf(c_355692,plain,
! [X0: $i] :
( ~ r2_hidden(X0,k5_numbers)
| ~ r2_hidden(k1_zfmisc_1(k1_numbers),X0) ),
inference(superposition,[status(thm)],[c_329440,c_184]) ).
tcf(c_355693,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| ~ r2_hidden(X1,np__0)
| ~ r2_hidden(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_329404,c_184]) ).
tcf(c_355694,plain,
! [X0: $i] :
( ~ r2_hidden(u1_struct_0(sK23),X0)
| ~ r2_hidden(X0,sK47(u1_struct_0(sK23))) ),
inference(superposition,[status(thm)],[c_329767,c_184]) ).
tcf(c_355696,plain,
! [X0: $i] :
( ~ r2_hidden(k5_finsub_1(sK205),X0)
| ~ r2_hidden(X0,sK47(k5_finsub_1(sK205))) ),
inference(superposition,[status(thm)],[c_331191,c_184]) ).
tcf(c_355697,plain,
! [X0: $i] :
( ~ r2_hidden(X0,k1_card_1(sK205))
| ~ r2_hidden(k1_card_1(k5_finsub_1(sK205)),X0) ),
inference(superposition,[status(thm)],[c_331209,c_184]) ).
tcf(c_355698,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK53(sK205))
| ~ r2_hidden(k5_finsub_1(sK205),X0) ),
inference(superposition,[status(thm)],[c_331348,c_184]) ).
tcf(c_355699,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK210(sK205))
| ~ r2_hidden(k5_finsub_1(sK205),X0) ),
inference(superposition,[status(thm)],[c_331362,c_184]) ).
tcf(c_355700,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK211(sK205))
| ~ r2_hidden(k5_finsub_1(sK205),X0) ),
inference(superposition,[status(thm)],[c_331376,c_184]) ).
tcf(c_355701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(k2_xboole_0(k2_tarski(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_331699,c_184]) ).
tcf(c_355702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(k2_xboole_0(X0,k2_tarski(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_331702,c_184]) ).
tcf(c_355703,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK205)
| ~ r2_hidden(k5_finsub_1(sK205),X0) ),
inference(superposition,[status(thm)],[c_331763,c_184]) ).
tcf(c_355704,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK212)
| ~ r2_hidden(k5_finsub_1(sK212),X0) ),
inference(superposition,[status(thm)],[c_331764,c_184]) ).
tcf(c_355706,plain,
! [X0: $i] :
( ~ r2_hidden(k5_finsub_1(sK212),X0)
| ~ r2_hidden(X0,sK47(k5_finsub_1(sK212))) ),
inference(superposition,[status(thm)],[c_331600,c_184]) ).
tcf(c_355707,plain,
! [X0: $i] :
( ~ r2_hidden(X0,k1_card_1(sK212))
| ~ r2_hidden(k1_card_1(k5_finsub_1(sK212)),X0) ),
inference(superposition,[status(thm)],[c_331618,c_184]) ).
tcf(c_355708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(k2_xboole_0(k2_tarski(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_331730,c_184]) ).
tcf(c_355709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r2_hidden(X3,X2)
| ~ r2_hidden(k2_xboole_0(X0,k2_tarski(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_331733,c_184]) ).
tcf(c_355710,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK53(sK212))
| ~ r2_hidden(k5_finsub_1(sK212),X0) ),
inference(superposition,[status(thm)],[c_331940,c_184]) ).
tcf(c_355711,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK210(sK212))
| ~ r2_hidden(k5_finsub_1(sK212),X0) ),
inference(superposition,[status(thm)],[c_331955,c_184]) ).
tcf(c_355712,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK211(sK212))
| ~ r2_hidden(k5_finsub_1(sK212),X0) ),
inference(superposition,[status(thm)],[c_331970,c_184]) ).
tcf(c_355713,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK413)
| ~ r2_hidden(k5_finsub_1(sK413),X0) ),
inference(superposition,[status(thm)],[c_333091,c_184]) ).
tcf(c_355715,plain,
! [X0: $i] :
( ~ r2_hidden(k5_finsub_1(sK413),X0)
| ~ r2_hidden(X0,sK47(k5_finsub_1(sK413))) ),
inference(superposition,[status(thm)],[c_333105,c_184]) ).
tcf(c_355716,plain,
! [X0: $i] :
( ~ r2_hidden(X0,k1_card_1(sK413))
| ~ r2_hidden(k1_card_1(k5_finsub_1(sK413)),X0) ),
inference(superposition,[status(thm)],[c_333122,c_184]) ).
tcf(c_355717,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK53(sK413))
| ~ r2_hidden(k5_finsub_1(sK413),X0) ),
inference(superposition,[status(thm)],[c_334154,c_184]) ).
tcf(c_355718,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK210(sK413))
| ~ r2_hidden(k5_finsub_1(sK413),X0) ),
inference(superposition,[status(thm)],[c_334421,c_184]) ).
tcf(c_355719,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK211(sK413))
| ~ r2_hidden(k5_finsub_1(sK413),X0) ),
inference(superposition,[status(thm)],[c_334459,c_184]) ).
tcf(c_355720,plain,
! [X0: $i] :
( ~ r2_hidden(k5_numbers,X0)
| ~ r2_hidden(X0,sK47(k5_numbers)) ),
inference(superposition,[status(thm)],[c_343015,c_184]) ).
tcf(c_355721,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,np__1)
| ~ r2_hidden(k2_xboole_0(k2_finseq_1(np__2),X0),X1) ),
inference(superposition,[status(thm)],[c_343330,c_184]) ).
tcf(c_355722,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,np__1)
| ~ r2_hidden(k2_xboole_0(X0,k2_finseq_1(np__2)),X1) ),
inference(superposition,[status(thm)],[c_343355,c_184]) ).
tcf(c_355723,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,np__2)
| ~ r2_hidden(k2_xboole_0(k2_finseq_1(np__2),X0),X1) ),
inference(superposition,[status(thm)],[c_344201,c_184]) ).
tcf(c_355724,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,np__2)
| ~ r2_hidden(k2_xboole_0(X0,k2_finseq_1(np__2)),X1) ),
inference(superposition,[status(thm)],[c_344234,c_184]) ).
tcf(c_355725,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,np__0)
| ~ r2_hidden(k5_finsub_1(k2_tarski(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_349212,c_184]) ).
tcf(c_355728,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK415)
| ~ r2_hidden(k5_finsub_1(sK415),X0) ),
inference(superposition,[status(thm)],[c_351301,c_184]) ).
tcf(c_356075,plain,
k4_xboole_0(sK415,k2_tarski(k5_finsub_1(sK415),k5_finsub_1(sK415))) = sK415,
inference(superposition,[status(thm)],[c_802,c_351304]) ).
tcf(c_356076,plain,
! [X0: $i] :
( r1_tarski(X0,k5_finsub_1(sK415))
| ~ r1_tarski(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_351308,c_97]) ).
tcf(c_356077,plain,
( ( k5_finsub_1(np__0) = k5_finsub_1(sK415) )
| ~ r1_tarski(k5_finsub_1(sK415),k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_351308,c_98]) ).
tcf(c_356078,plain,
! [X0: $i] :
( r1_xboole_0(k5_finsub_1(np__0),X0)
| ~ r1_xboole_0(k5_finsub_1(sK415),X0) ),
inference(superposition,[status(thm)],[c_351308,c_2433]) ).
tcf(c_356079,plain,
! [X0: $i] :
( r2_hidden(X0,k5_finsub_1(sK415))
| ~ r2_hidden(X0,k5_finsub_1(np__0)) ),
inference(superposition,[status(thm)],[c_351308,c_104]) ).
tcf(c_356081,plain,
k4_xboole_0(k5_finsub_1(np__0),k5_finsub_1(sK415)) = np__0,
inference(superposition,[status(thm)],[c_351308,c_817]) ).
tcf(c_356082,plain,
k2_xboole_0(k5_finsub_1(np__0),k5_finsub_1(sK415)) = k5_finsub_1(sK415),
inference(superposition,[status(thm)],[c_351308,c_513]) ).
tcf(c_356087,plain,
! [X0: $i] :
( r1_tarski(X0,k5_finsub_1(np__0))
| m1_subset_1(sK25(X0,k5_finsub_1(np__0)),X0)
| ~ r1_tarski(X0,k5_finsub_1(sK415)) ),
inference(superposition,[status(thm)],[c_351308,c_97752]) ).
tcf(c_356115,plain,
! [X0: $i] :
( r1_tarski(X0,sK415)
| ~ r1_tarski(X0,sK47(k5_finsub_1(sK415))) ),
inference(superposition,[status(thm)],[c_351314,c_97]) ).
tcf(c_356116,plain,
( ( sK47(k5_finsub_1(sK415)) = sK415 )
| ~ r1_tarski(sK415,sK47(k5_finsub_1(sK415))) ),
inference(superposition,[status(thm)],[c_351314,c_98]) ).
tcf(c_356117,plain,
! [X0: $i] :
( r1_xboole_0(sK47(k5_finsub_1(sK415)),X0)
| ~ r1_xboole_0(sK415,X0) ),
inference(superposition,[status(thm)],[c_351314,c_2433]) ).
tcf(c_356118,plain,
! [X0: $i] :
( r2_hidden(X0,sK415)
| ~ r2_hidden(X0,sK47(k5_finsub_1(sK415))) ),
inference(superposition,[status(thm)],[c_351314,c_104]) ).
tcf(c_356119,plain,
( v1_xboole_0(sK47(k5_finsub_1(sK415)))
| ~ r1_xboole_0(sK47(k5_finsub_1(sK415)),sK415) ),
inference(superposition,[status(thm)],[c_351314,c_2426]) ).
tcf(c_356120,plain,
k4_xboole_0(sK47(k5_finsub_1(sK415)),sK415) = np__0,
inference(superposition,[status(thm)],[c_351314,c_817]) ).
tcf(c_356121,plain,
k2_xboole_0(sK47(k5_finsub_1(sK415)),sK415) = sK415,
inference(superposition,[status(thm)],[c_351314,c_513]) ).
tcf(c_356122,plain,
( v1_membered(sK47(k5_finsub_1(sK415)))
| ~ v1_membered(sK415) ),
inference(superposition,[status(thm)],[c_351314,c_2460]) ).
tcf(c_356126,plain,
! [X0: $i] :
( r1_tarski(X0,sK47(k5_finsub_1(sK415)))
| m1_subset_1(sK25(X0,sK47(k5_finsub_1(sK415))),X0)
| ~ r1_tarski(X0,sK415) ),
inference(superposition,[status(thm)],[c_351314,c_97752]) ).
tcf(c_356129,plain,
k2_xboole_0(sK415,sK47(k5_finsub_1(sK415))) = sK415,
inference(theory_normalisation,[status(thm)],[c_356121,c_521,c_524]) ).
tcf(c_356147,plain,
! [X0: $i] :
( ( k4_xboole_0(X0,k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23))) = X0 )
| ~ r2_hidden(X0,sK24) ),
inference(superposition,[status(thm)],[c_802,c_355685]) ).
tcf(c_356148,plain,
! [X0: $i] :
( ~ r2_hidden(k1_zfmisc_1(X0),sK24)
| ~ r1_tarski(u1_struct_0(sK23),X0) ),
inference(superposition,[status(thm)],[c_93,c_355685]) ).
tcf(c_356149,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(u1_struct_0(sK23),X0)
| ~ r2_hidden(k2_xboole_0(X0,X1),sK24) ),
inference(superposition,[status(thm)],[c_528,c_355685]) ).
tcf(c_356150,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(u1_struct_0(sK23),X1)
| ~ r2_hidden(k2_xboole_0(X0,X1),sK24) ),
inference(superposition,[status(thm)],[c_529,c_355685]) ).
tcf(c_356151,plain,
! [X0: $i] : ~ r2_hidden(k2_tarski(u1_struct_0(sK23),X0),sK24),
inference(superposition,[status(thm)],[c_1433,c_355685]) ).
tcf(c_356152,plain,
! [X0: $i] : ~ r2_hidden(k2_tarski(X0,u1_struct_0(sK23)),sK24),
inference(superposition,[status(thm)],[c_1434,c_355685]) ).
tcf(c_356153,plain,
( ~ v1_xreal_0(u1_struct_0(sK23))
| ~ r2_hidden(k1_numbers,sK24) ),
inference(superposition,[status(thm)],[c_1784,c_355685]) ).
tcf(c_356154,plain,
( ( u1_struct_0(sK23) = np__0 )
| ~ v4_ordinal2(u1_struct_0(sK23))
| ~ r2_hidden(k2_finseq_1(u1_struct_0(sK23)),sK24) ),
inference(superposition,[status(thm)],[c_2019,c_355685]) ).
tcf(c_356155,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK23)),sK24),
inference(superposition,[status(thm)],[c_331696,c_355685]) ).
tcf(c_356156,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(k2_tarski(u1_struct_0(sK23),X0),X1),sK24),
inference(superposition,[status(thm)],[c_331699,c_355685]) ).
tcf(c_356157,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(X0,k2_tarski(u1_struct_0(sK23),X1)),sK24),
inference(superposition,[status(thm)],[c_331702,c_355685]) ).
tcf(c_356158,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(k2_tarski(X0,u1_struct_0(sK23)),X1),sK24),
inference(superposition,[status(thm)],[c_331730,c_355685]) ).
tcf(c_356159,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_xboole_0(X0,k2_tarski(X1,u1_struct_0(sK23))),sK24),
inference(superposition,[status(thm)],[c_331733,c_355685]) ).
tcf(c_356201,plain,
! [X0: $i] :
( ( k4_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),k2_tarski(X0,X0)) = sK47(a_2_0_lopclset(sK23,sK24)) )
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),X0) ),
inference(superposition,[status(thm)],[c_802,c_355683]) ).
tcf(c_356202,plain,
! [X0: $i] :
( r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),X0)
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK28(sK47(a_2_0_lopclset(sK23,sK24)),X0)) ),
inference(superposition,[status(thm)],[c_103,c_355683]) ).
tcf(c_356203,plain,
( ( sK47(a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK41(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_167,c_355683]) ).
tcf(c_356204,plain,
( v1_realset1(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK72(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_337,c_355683]) ).
tcf(c_356205,plain,
( v1_realset1(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK73(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_338,c_355683]) ).
tcf(c_356206,plain,
( v1_relat_1(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK115(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_346237,c_355683]) ).
tcf(c_356207,plain,
( ( sK47(a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK118(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_558,c_355683]) ).
tcf(c_356208,plain,
( sP0(sK47(a_2_0_lopclset(sK23,sK24)))
| v1_funct_1(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK124(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_569,c_355683]) ).
tcf(c_356209,plain,
( sP0(sK47(a_2_0_lopclset(sK23,sK24)))
| v1_relat_1(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK124(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_567,c_355683]) ).
tcf(c_356210,plain,
( v1_relat_1(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK137(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_587,c_355683]) ).
tcf(c_356214,plain,
( v1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v1_membered(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK354(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_1801,c_355683]) ).
tcf(c_356215,plain,
( v1_membered(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK355(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_1803,c_355683]) ).
tcf(c_356216,plain,
( v1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ v5_membered(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK401(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_2039,c_355683]) ).
tcf(c_356217,plain,
( v5_membered(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK402(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_2041,c_355683]) ).
tcf(c_356218,plain,
( ( sK47(a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK432(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_2378,c_355683]) ).
tcf(c_356219,plain,
( ( sK47(a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK433(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_2380,c_355683]) ).
tcf(c_356220,plain,
( ( sK47(a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK434(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_2382,c_355683]) ).
tcf(c_356221,plain,
( ( sK47(a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK435(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_2384,c_355683]) ).
tcf(c_356222,plain,
( ( sK47(a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK436(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_2386,c_355683]) ).
tcf(c_356223,plain,
( ( sK47(a_2_0_lopclset(sK23,sK24)) = np__0 )
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK437(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_2388,c_355683]) ).
tcf(c_356224,plain,
! [X0: $i] :
( r1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0)
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK439(sK47(a_2_0_lopclset(sK23,sK24)),X0)) ),
inference(superposition,[status(thm)],[c_2439,c_355683]) ).
tcf(c_356225,plain,
! [X0: $i] :
( r1_xboole_0(X0,sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK439(X0,sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_2440,c_355683]) ).
tcf(c_356226,plain,
( v1_membered(k3_tarski(sK47(a_2_0_lopclset(sK23,sK24))))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK441(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_2459,c_355683]) ).
tcf(c_356227,plain,
( r1_tarski(sK24,k4_xboole_0(sK24,sK47(a_2_0_lopclset(sK23,sK24))))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK47(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_348622,c_355683]) ).
tcf(c_356228,plain,
! [X0: $i] :
( r1_xboole_0(X0,sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK47(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_328946,c_355683]) ).
tcf(c_356229,plain,
! [X0: $i] :
( r1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)),X0)
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK47(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_328923,c_355683]) ).
tcf(c_356230,plain,
( v1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK47(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_329782,c_355683]) ).
tcf(c_356232,plain,
( v1_membered(k3_tarski(sK47(a_2_0_lopclset(sK23,sK24))))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK47(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_326636,c_355683]) ).
tcf(c_356233,plain,
( v2_membered(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK47(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_328340,c_355683]) ).
tcf(c_356234,plain,
! [X0: $i] :
( r1_tarski(sK47(a_2_0_lopclset(sK23,sK24)),X0)
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK47(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_326624,c_355683]) ).
tcf(c_356235,plain,
( v5_membered(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK47(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_326635,c_355683]) ).
tcf(c_356236,plain,
( v1_membered(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK47(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_326634,c_355683]) ).
tcf(c_356237,plain,
( v1_relat_1(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK47(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_326629,c_355683]) ).
tcf(c_356238,plain,
( v1_realset1(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK47(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_326627,c_355683]) ).
tcf(c_356239,plain,
( v1_xboole_0(sK47(a_2_0_lopclset(sK23,sK24)))
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK29(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_329379,c_355683]) ).
fof(f8251,definition,
! [X0] :
( ~ sP0(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,[sP0])],[predicate_definition_introduction]) ).
fof(f8252,plain,
! [X0] :
( sP0(X0)
| ? [X1] :
( ! [X2,X3] : k4_tarski(X2,X3) != X1
& r2_hidden(X1,X0) )
| ( v1_funct_1(X0)
& v1_relat_1(X0) ) ),
inference(definition_folding,[],[f6824,f8251]) ).
fof(f8253,definition,
! [X4,X1,X0,X6,X2,X3] :
( sP1(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,[sP1])],[predicate_definition_introduction]) ).
fof(f8254,definition,
! [X1,X0,X5,X3,X2,X4] :
( sP2(X1,X0,X5,X3,X2,X4)
<=> ? [X6] :
( sP1(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,[sP2])],[predicate_definition_introduction]) ).
fof(f8255,definition,
! [X4,X2,X3,X5,X0,X1] :
( ~ sP3(X4,X2,X3,X5,X0,X1)
| ( X5 = k7_setwiseo(X0,X1,X2,X3,X4)
<=> sP2(X1,X0,X5,X3,X2,X4) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f8256,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)
| sP3(X4,X2,X3,X5,X0,X1) )
| ( ~ v1_setwiseo(X2,X1)
& X3 = k1_xboole_0 ) ) ) ) ) ),
inference(definition_folding,[],[f6862,f8255,f8254,f8253]) ).
fof(f8257,definition,
! [X0] :
( ~ sP4(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,[sP4])],[predicate_definition_introduction]) ).
fof(f8258,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)) ) ) ) )
| sP4(X0)
| ( v3_group_1(X0)
& v4_group_1(X0) ) ),
inference(definition_folding,[],[f6955,f8257]) ).
fof(f8259,definition,
! [X0] :
( ~ sP5(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,[sP5])],[predicate_definition_introduction]) ).
fof(f8260,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sP5(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,[],[f6957,f8259]) ).
fof(f8261,definition,
! [X4,X3,X2,X1,X0] :
( ~ sP6(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,[sP6])],[predicate_definition_introduction]) ).
fof(f8262,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)
| sP6(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,[],[f7150,f8261]) ).
fof(f8263,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(f8264,definition,
! [X0] :
( ~ sP8(X0)
| ( v2_funct_1(X0)
<=> sP7(X0) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f8265,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| sP8(X0) ),
inference(definition_folding,[],[f7322,f8264,f8263]) ).
fof(f8266,definition,
! [X0,X2] :
( ~ sP9(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,[sP9])],[predicate_definition_introduction]) ).
fof(f8267,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 )
| sP9(X0,X2) ),
inference(definition_folding,[],[f7391,f8266]) ).
fof(f8268,definition,
! [X1,X0] :
( sP10(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,[sP10])],[predicate_definition_introduction]) ).
fof(f8269,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)
<=> ( sP10(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,[],[f7457,f8268]) ).
fof(f8270,definition,
! [X1,X0] :
( ~ sP11(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,[sP11])],[predicate_definition_introduction]) ).
fof(f8271,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP11(X1,X0) ),
inference(definition_folding,[],[f7543,f8270]) ).
fof(f8272,definition,
! [X1,X0,X2] :
( sP12(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,[sP12])],[predicate_definition_introduction]) ).
fof(f8273,definition,
! [X2,X0,X1] :
( ~ sP13(X2,X0,X1)
| ( X2 = k8_filter_0(X0,X1)
<=> sP12(X1,X0,X2) ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f8274,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)
| sP13(X2,X0,X1) ) ) ),
inference(definition_folding,[],[f7593,f8273,f8272]) ).
fof(f8275,definition,
! [X1,X0] :
( ~ sP14(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,[sP14])],[predicate_definition_introduction]) ).
fof(f8276,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP14(X1,X0) ),
inference(definition_folding,[],[f7595,f8275]) ).
fof(f8277,definition,
! [X0] :
( sP15(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,[sP15])],[predicate_definition_introduction]) ).
fof(f8278,definition,
! [X0] :
( sP16(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,[sP16])],[predicate_definition_introduction]) ).
fof(f8279,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( sP15(X0)
<=> sP16(X0) ) ),
inference(definition_folding,[],[f7764,f8278,f8277]) ).
fof(f8280,definition,
! [X0,X1,X2] :
( sP17(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,[sP17])],[predicate_definition_introduction]) ).
fof(f8281,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))) )
& sP17(X0,X1,X2) ) ) ) ) ),
inference(definition_folding,[],[f7813,f8280]) ).
fof(f8282,definition,
! [X0,X1] :
( sP18(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,[sP18])],[predicate_definition_introduction]) ).
fof(f8283,definition,
! [X1,X0] :
( ~ sP19(X1,X0)
| ( sP18(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,[sP19])],[predicate_definition_introduction]) ).
fof(f8284,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sP19(X1,X0) ) ),
inference(definition_folding,[],[f7832,f8283,f8282]) ).
fof(f8285,definition,
! [X0,X1] :
( sP20(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,[sP20])],[predicate_definition_introduction]) ).
fof(f8286,definition,
! [X1,X0] :
( ~ sP21(X1,X0)
| ( sP20(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,[sP21])],[predicate_definition_introduction]) ).
fof(f8287,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sP21(X1,X0) ) ),
inference(definition_folding,[],[f7840,f8286,f8285]) ).
fof(f8288,definition,
! [X0,X2,X1] :
( sP22(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,[sP22])],[predicate_definition_introduction]) ).
fof(f8289,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)
<=> ( sP22(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,[],[f7899,f8288]) ).
fof(f8440,plain,
! [X0] :
( ~ sP0(X0)
| ? [X4,X5,X6] :
( r2_hidden(k4_tarski(X4,X6),X0)
& r2_hidden(k4_tarski(X4,X5),X0)
& X5 != X6 ) ),
inference(nnf_transformation,[],[f8251]) ).
fof(f8441,plain,
! [X0] :
( ~ sP0(X0)
| ? [X1,X2,X3] :
( r2_hidden(k4_tarski(X1,X3),X0)
& r2_hidden(k4_tarski(X1,X2),X0)
& X2 != X3 ) ),
inference(rectify,[],[f8440]) ).
fof(f8442,plain,
! [X0] :
( ~ sP0(X0)
| ( r2_hidden(k4_tarski(sK121(X0),sK123(X0)),X0)
& r2_hidden(k4_tarski(sK121(X0),sK122(X0)),X0)
& sK122(X0) != sK123(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK121,sK122,sK123]),skolemize(X1,sK121(X0)),skolemize(X2,sK122(X0)),skolemize(X3,sK123(X0))],[f8441]) ).
fof(f8486,plain,
! [X4,X1,X0,X6,X2,X3] :
( ( ~ sP1(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 )
| sP1(X4,X1,X0,X6,X2,X3) ) ),
inference(nnf_transformation,[],[f8253]) ).
fof(f8487,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ sP1(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 )
| sP1(X0,X1,X2,X3,X4,X5) ) ),
inference(rectify,[],[f8486]) ).
fof(f8488,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ sP1(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(sK172(X0,X1,X2,X3,X4,X5),k5_finsub_1(X2))
& r1_tarski(sK172(X0,X1,X2,X3,X4,X5),X5)
& m1_subset_1(sK173(X0,X1,X2,X3,X4,X5),X2)
& r2_hidden(sK173(X0,X1,X2,X3,X4,X5),X5)
& k8_funct_2(k5_finsub_1(X2),X1,X3,k5_setwiseo(X2,sK172(X0,X1,X2,X3,X4,X5),k2_setwiseo(X2,sK173(X0,X1,X2,X3,X4,X5)))) != k2_binop_1(X1,X1,X1,X4,k8_funct_2(k5_finsub_1(X2),X1,X3,sK172(X0,X1,X2,X3,X4,X5)),k8_funct_2(X2,X1,X0,sK173(X0,X1,X2,X3,X4,X5)))
& k1_xboole_0 != sK172(X0,X1,X2,X3,X4,X5) )
| sP1(X0,X1,X2,X3,X4,X5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK172,sK173]),skolemize(X6,sK172(X0,X1,X2,X3,X4,X5)),skolemize(X7,sK173(X0,X1,X2,X3,X4,X5))],[f8487]) ).
fof(f8514,plain,
! [X0] :
( ~ sP4(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,[],[f8257]) ).
fof(f8515,plain,
! [X0] :
( ~ sP4(X0)
| ( m1_subset_1(sK183(X0),u1_struct_0(X0))
& m1_subset_1(sK184(X0),u1_struct_0(X0))
& m1_subset_1(sK185(X0),u1_struct_0(X0))
& k1_group_1(X0,k1_group_1(X0,sK183(X0),sK184(X0)),sK185(X0)) != k1_group_1(X0,sK183(X0),k1_group_1(X0,sK184(X0),sK185(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK183,sK184,sK185]),skolemize(X1,sK183(X0)),skolemize(X2,sK184(X0)),skolemize(X3,sK185(X0))],[f8514]) ).
fof(f8518,plain,
! [X0] :
( ~ sP5(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,[],[f8259]) ).
fof(f8519,plain,
! [X0] :
( ~ sP5(X0)
| ( m1_subset_1(sK188(X0),u1_struct_0(X0))
& m1_subset_1(sK189(X0),u1_struct_0(X0))
& m1_subset_1(sK190(X0),u1_struct_0(X0))
& k1_group_1(X0,k1_group_1(X0,sK188(X0),sK189(X0)),sK190(X0)) != k1_group_1(X0,sK188(X0),k1_group_1(X0,sK189(X0),sK190(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK188,sK189,sK190]),skolemize(X1,sK188(X0)),skolemize(X2,sK189(X0)),skolemize(X3,sK190(X0))],[f8518]) ).
fof(f8586,plain,
! [X4,X3,X2,X1,X0] :
( ~ sP6(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,[],[f8261]) ).
fof(f8587,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP6(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,[],[f8586]) ).
fof(f8588,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| ( m2_relset_1(sK230(X0,X1,X2,X3,X4),X3,X2)
& v1_funct_2(sK230(X0,X1,X2,X3,X4),X3,X2)
& v1_funct_1(sK230(X0,X1,X2,X3,X4))
& k7_funct_2(X4,X3,X2,X1,sK230(X0,X1,X2,X3,X4)) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK230]),skolemize(X5,sK230(X0,X1,X2,X3,X4))],[f8587]) ).
fof(f8634,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,[],[f8263]) ).
fof(f8635,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,[],[f8634]) ).
fof(f8636,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(sK261(X0))
& v1_relat_1(sK261(X0))
& v1_funct_1(sK262(X0))
& v1_relat_1(sK262(X0))
& k5_relat_1(sK261(X0),X0) = k5_relat_1(sK262(X0),X0)
& k1_relat_1(sK261(X0)) = k1_relat_1(sK262(X0))
& r1_tarski(k2_relat_1(sK262(X0)),k1_relat_1(X0))
& r1_tarski(k2_relat_1(sK261(X0)),k1_relat_1(X0))
& sK261(X0) != sK262(X0) )
| sP7(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK261,sK262]),skolemize(X1,sK261(X0)),skolemize(X2,sK262(X0))],[f8635]) ).
fof(f8664,plain,
! [X0,X2] :
( ~ sP9(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,[],[f8266]) ).
fof(f8665,plain,
! [X0,X1] :
( ~ sP9(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,[],[f8664]) ).
fof(f8666,plain,
! [X0,X1] :
( ~ sP9(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,sK279(X0,X1)) = k1_funct_1(X1,sK280(X0,X1))
& r2_hidden(sK280(X0,X1),X0)
& r2_hidden(sK279(X0,X1),X0)
& sK279(X0,X1) != sK280(X0,X1) )
| v2_funct_1(X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK279,sK280]),skolemize(X2,sK279(X0,X1)),skolemize(X3,sK280(X0,X1))],[f8665]) ).
fof(f8697,plain,
! [X1,X0] :
( ( ~ sP10(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) ) )
| sP10(X1,X0) ) ),
inference(nnf_transformation,[],[f8268]) ).
fof(f8698,plain,
! [X0,X1] :
( ( ~ sP10(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) ) )
| sP10(X0,X1) ) ),
inference(rectify,[],[f8697]) ).
fof(f8699,plain,
! [X0,X1] :
( ( ~ sP10(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(sK295(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK296(X0,X1),u1_struct_0(X1))
& r3_lattices(X1,sK295(X0,X1),sK296(X0,X1))
& r2_hidden(sK295(X0,X1),X0)
& ~ r2_hidden(sK296(X0,X1),X0) )
| sP10(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK295,sK296]),skolemize(X2,sK295(X0,X1)),skolemize(X3,sK296(X0,X1))],[f8698]) ).
fof(f8730,plain,
! [X1,X0] :
( ~ sP11(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,[],[f8270]) ).
fof(f8731,plain,
! [X0,X1] :
( ~ sP11(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,[],[f8730]) ).
fof(f8741,plain,
! [X1,X0,X2] :
( ( ~ sP12(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) )
| sP12(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f8272]) ).
fof(f8742,plain,
! [X0,X1,X2] :
( ( ~ sP12(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) )
| sP12(X0,X1,X2) ) ),
inference(rectify,[],[f8741]) ).
fof(f8743,plain,
! [X0,X1,X2] :
( ( ~ sP12(X0,X1,X2)
| ( g3_lattices(X0,sK325(X0,X1,X2),sK326(X0,X1,X2)) = X2
& k1_realset1(u1_lattices(X1),X0) = sK326(X0,X1,X2)
& k1_realset1(u2_lattices(X1),X0) = sK325(X0,X1,X2)
& m2_relset_1(sK326(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(sK326(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK326(X0,X1,X2))
& m2_relset_1(sK325(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(sK325(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK325(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) )
| sP12(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK325,sK326]),skolemize(X5,sK325(X0,X1,X2)),skolemize(X6,sK326(X0,X1,X2))],[f8742]) ).
fof(f8744,plain,
! [X1,X0] :
( ~ sP14(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,[],[f8275]) ).
fof(f8745,plain,
! [X0,X1] :
( ~ sP14(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,[],[f8744]) ).
fof(f8799,plain,
! [X0] :
( ( ~ sP15(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) ) ) ) )
| sP15(X0) ) ),
inference(nnf_transformation,[],[f8277]) ).
fof(f8800,plain,
! [X0] :
( ( ~ sP15(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) ) ) ) )
| sP15(X0) ) ),
inference(rectify,[],[f8799]) ).
fof(f8801,plain,
! [X0] :
( ( ~ sP15(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,sK366(X0,X5))
& m1_subset_1(sK366(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(sK363(X0),u1_struct_0(X0))
& m1_subset_1(sK364(X0),u1_struct_0(X0))
& m1_subset_1(sK365(X0),u1_struct_0(X0))
& ( ! [X4] :
( k1_rlvect_1(X0) != k2_rlvect_1(X0,sK363(X0),X4)
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| sK363(X0) != k2_rlvect_1(X0,sK363(X0),k1_rlvect_1(X0))
| k2_rlvect_1(X0,k2_rlvect_1(X0,sK363(X0),sK364(X0)),sK365(X0)) != k2_rlvect_1(X0,sK363(X0),k2_rlvect_1(X0,sK364(X0),sK365(X0)))
| k2_rlvect_1(X0,sK363(X0),sK364(X0)) != k2_rlvect_1(X0,sK364(X0),sK363(X0)) ) )
| sP15(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK363,sK364,sK365,sK366]),skolemize(X1,sK363(X0)),skolemize(X2,sK364(X0)),skolemize(X3,sK365(X0)),skolemize(X8,sK366(X0,X5))],[f8800]) ).
fof(f8819,plain,
! [X0,X1,X2] :
( ( ~ sP17(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 ) ) )
| sP17(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f8280]) ).
fof(f8820,plain,
! [X0,X1,X2] :
( ( ~ sP17(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 ) ) )
| sP17(X0,X1,X2) ) ),
inference(rectify,[],[f8819]) ).
fof(f8821,plain,
! [X0,X1,X2] :
( ( ~ sP17(X0,X1,X2)
| ! [X12] :
( ( ~ r2_hidden(X12,k1_relat_1(X2))
| ( r2_hidden(k4_tarski(sK383(X0,X1,X12),sK384(X0,X1,X12)),k1_relat_1(X1))
& r2_hidden(k4_tarski(sK381(X0,X1,X12),sK382(X0,X1,X12)),k1_relat_1(X0))
& k4_tarski(k4_tarski(sK381(X0,X1,X12),sK383(X0,X1,X12)),k4_tarski(sK382(X0,X1,X12),sK384(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(sK376(X0,X1,X2),k1_relat_1(X2))
| ( r2_hidden(k4_tarski(sK379(X0,X1,X2),sK380(X0,X1,X2)),k1_relat_1(X1))
& r2_hidden(k4_tarski(sK377(X0,X1,X2),sK378(X0,X1,X2)),k1_relat_1(X0))
& sK376(X0,X1,X2) = k4_tarski(k4_tarski(sK377(X0,X1,X2),sK379(X0,X1,X2)),k4_tarski(sK378(X0,X1,X2),sK380(X0,X1,X2))) ) )
& ( ~ r2_hidden(sK376(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)) != sK376(X0,X1,X2) ) ) )
| sP17(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK376,sK377,sK378,sK379,sK380,sK381,sK382,sK383,sK384]),skolemize(X3,sK376(X0,X1,X2)),skolemize(X8,sK377(X0,X1,X2)),skolemize(X9,sK378(X0,X1,X2)),skolemize(X10,sK379(X0,X1,X2)),skolemize(X11,sK380(X0,X1,X2)),skolemize(X17,sK381(X0,X1,X12)),skolemize(X18,sK382(X0,X1,X12)),skolemize(X19,sK383(X0,X1,X12)),skolemize(X20,sK384(X0,X1,X12))],[f8820]) ).
fof(f8834,plain,
! [X0,X1] :
( ( ~ sP18(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)
| sP18(X0,X1) ) ),
inference(nnf_transformation,[],[f8282]) ).
fof(f8835,plain,
! [X0,X1] :
( ( ~ sP18(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)
| sP18(X0,X1) ) ),
inference(flattening,[],[f8834]) ).
fof(f8845,plain,
! [X0,X1] :
( ( ~ sP20(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)
| sP20(X0,X1) ) ),
inference(nnf_transformation,[],[f8285]) ).
fof(f8846,plain,
! [X0,X1] :
( ( ~ sP20(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)
| sP20(X0,X1) ) ),
inference(flattening,[],[f8845]) ).
fof(f8873,plain,
! [X0,X2,X1] :
( ( ~ sP22(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)) )
| sP22(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f8288]) ).
fof(f8874,plain,
! [X0,X1,X2] :
( ( ~ sP22(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)) )
| sP22(X0,X1,X2) ) ),
inference(rectify,[],[f8873]) ).
fof(f8875,plain,
! [X0,X1,X2] :
( ( ~ sP22(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(sK404(X0,X1,X2),k1_numbers,k5_numbers)
& r2_hidden(sK404(X0,X1,X2),k4_finseq_1(X2))
& k1_funct_1(X2,sK404(X0,X1,X2)) != k1_funct_1(X1,k1_nat_1(k3_finseq_1(X0),sK404(X0,X1,X2))) )
| sP22(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK404]),skolemize(X3,sK404(X0,X1,X2))],[f8874]) ).
fof(f9492,plain,
! [X0] :
( ~ sP0(X0)
| r2_hidden(k4_tarski(sK121(X0),sK123(X0)),X0) ),
inference(cnf_transformation,[],[f8442]) ).
fof(f9493,plain,
! [X0] :
( ~ sP0(X0)
| r2_hidden(k4_tarski(sK121(X0),sK122(X0)),X0) ),
inference(cnf_transformation,[],[f8442]) ).
fof(f9494,plain,
! [X0] :
( ~ sP0(X0)
| sK122(X0) != sK123(X0) ),
inference(cnf_transformation,[],[f8442]) ).
fof(f9586,plain,
! [X2,X3,X0,X1,X8,X9,X4,X5] :
( ~ sP1(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,[],[f8488]) ).
fof(f9587,plain,
! [X2,X3,X0,X1,X4,X5] :
( m1_subset_1(sK172(X0,X1,X2,X3,X4,X5),k5_finsub_1(X2))
| sP1(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f8488]) ).
fof(f9588,plain,
! [X2,X3,X0,X1,X4,X5] :
( r1_tarski(sK172(X0,X1,X2,X3,X4,X5),X5)
| sP1(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f8488]) ).
fof(f9589,plain,
! [X2,X3,X0,X1,X4,X5] :
( m1_subset_1(sK173(X0,X1,X2,X3,X4,X5),X2)
| sP1(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f8488]) ).
fof(f9590,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(sK173(X0,X1,X2,X3,X4,X5),X5)
| sP1(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f8488]) ).
fof(f9591,plain,
! [X2,X3,X0,X1,X4,X5] :
( k8_funct_2(k5_finsub_1(X2),X1,X3,k5_setwiseo(X2,sK172(X0,X1,X2,X3,X4,X5),k2_setwiseo(X2,sK173(X0,X1,X2,X3,X4,X5)))) != k2_binop_1(X1,X1,X1,X4,k8_funct_2(k5_finsub_1(X2),X1,X3,sK172(X0,X1,X2,X3,X4,X5)),k8_funct_2(X2,X1,X0,sK173(X0,X1,X2,X3,X4,X5)))
| sP1(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f8488]) ).
fof(f9592,plain,
! [X2,X3,X0,X1,X4,X5] :
( k1_xboole_0 != sK172(X0,X1,X2,X3,X4,X5)
| sP1(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f8488]) ).
fof(f9671,plain,
! [X0] :
( ~ sP4(X0)
| m1_subset_1(sK183(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8515]) ).
fof(f9672,plain,
! [X0] :
( ~ sP4(X0)
| m1_subset_1(sK184(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8515]) ).
fof(f9673,plain,
! [X0] :
( ~ sP4(X0)
| m1_subset_1(sK185(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8515]) ).
fof(f9674,plain,
! [X0] :
( ~ sP4(X0)
| k1_group_1(X0,k1_group_1(X0,sK183(X0),sK184(X0)),sK185(X0)) != k1_group_1(X0,sK183(X0),k1_group_1(X0,sK184(X0),sK185(X0))) ),
inference(cnf_transformation,[],[f8515]) ).
fof(f9681,plain,
! [X0] :
( ~ sP5(X0)
| m1_subset_1(sK188(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8519]) ).
fof(f9682,plain,
! [X0] :
( ~ sP5(X0)
| m1_subset_1(sK189(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8519]) ).
fof(f9683,plain,
! [X0] :
( ~ sP5(X0)
| m1_subset_1(sK190(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8519]) ).
fof(f9684,plain,
! [X0] :
( ~ sP5(X0)
| k1_group_1(X0,k1_group_1(X0,sK188(X0),sK189(X0)),sK190(X0)) != k1_group_1(X0,sK188(X0),k1_group_1(X0,sK189(X0),sK190(X0))) ),
inference(cnf_transformation,[],[f8519]) ).
fof(f9956,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| m2_relset_1(sK230(X0,X1,X2,X3,X4),X3,X2) ),
inference(cnf_transformation,[],[f8588]) ).
fof(f9957,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| v1_funct_2(sK230(X0,X1,X2,X3,X4),X3,X2) ),
inference(cnf_transformation,[],[f8588]) ).
fof(f9958,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| v1_funct_1(sK230(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f8588]) ).
fof(f9959,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| k7_funct_2(X4,X3,X2,X1,sK230(X0,X1,X2,X3,X4)) = X0 ),
inference(cnf_transformation,[],[f8588]) ).
fof(f10160,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,[],[f8636]) ).
fof(f10161,plain,
! [X0] :
( v1_funct_1(sK261(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f8636]) ).
fof(f10162,plain,
! [X0] :
( v1_relat_1(sK261(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f8636]) ).
fof(f10163,plain,
! [X0] :
( v1_funct_1(sK262(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f8636]) ).
fof(f10164,plain,
! [X0] :
( v1_relat_1(sK262(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f8636]) ).
fof(f10165,plain,
! [X0] :
( k5_relat_1(sK261(X0),X0) = k5_relat_1(sK262(X0),X0)
| sP7(X0) ),
inference(cnf_transformation,[],[f8636]) ).
fof(f10166,plain,
! [X0] :
( k1_relat_1(sK261(X0)) = k1_relat_1(sK262(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f8636]) ).
fof(f10167,plain,
! [X0] :
( r1_tarski(k2_relat_1(sK262(X0)),k1_relat_1(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f8636]) ).
fof(f10168,plain,
! [X0] :
( r1_tarski(k2_relat_1(sK261(X0)),k1_relat_1(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f8636]) ).
fof(f10169,plain,
! [X0] :
( sK261(X0) != sK262(X0)
| sP7(X0) ),
inference(cnf_transformation,[],[f8636]) ).
fof(f10268,plain,
! [X0,X1,X4,X5] :
( ~ sP9(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,[],[f8666]) ).
fof(f10269,plain,
! [X0,X1] :
( ~ sP9(X0,X1)
| k1_funct_1(X1,sK279(X0,X1)) = k1_funct_1(X1,sK280(X0,X1))
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f8666]) ).
fof(f10270,plain,
! [X0,X1] :
( ~ sP9(X0,X1)
| r2_hidden(sK280(X0,X1),X0)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f8666]) ).
fof(f10271,plain,
! [X0,X1] :
( ~ sP9(X0,X1)
| r2_hidden(sK279(X0,X1),X0)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f8666]) ).
fof(f10272,plain,
! [X0,X1] :
( ~ sP9(X0,X1)
| sK279(X0,X1) != sK280(X0,X1)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f8666]) ).
fof(f10377,plain,
! [X0,X1,X4,X5] :
( ~ sP10(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,[],[f8699]) ).
fof(f10378,plain,
! [X0,X1] :
( m1_subset_1(sK295(X0,X1),u1_struct_0(X1))
| sP10(X0,X1) ),
inference(cnf_transformation,[],[f8699]) ).
fof(f10379,plain,
! [X0,X1] :
( m1_subset_1(sK296(X0,X1),u1_struct_0(X1))
| sP10(X0,X1) ),
inference(cnf_transformation,[],[f8699]) ).
fof(f10380,plain,
! [X0,X1] :
( r3_lattices(X1,sK295(X0,X1),sK296(X0,X1))
| sP10(X0,X1) ),
inference(cnf_transformation,[],[f8699]) ).
fof(f10381,plain,
! [X0,X1] :
( r2_hidden(sK295(X0,X1),X0)
| sP10(X0,X1) ),
inference(cnf_transformation,[],[f8699]) ).
fof(f10382,plain,
! [X0,X1] :
( ~ r2_hidden(sK296(X0,X1),X0)
| sP10(X0,X1) ),
inference(cnf_transformation,[],[f8699]) ).
fof(f10494,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| v10_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f8731]) ).
fof(f10495,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| v9_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f8731]) ).
fof(f10496,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| v8_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f8731]) ).
fof(f10497,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| v7_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f8731]) ).
fof(f10498,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| v6_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f8731]) ).
fof(f10499,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| v5_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f8731]) ).
fof(f10500,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| v4_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f8731]) ).
fof(f10501,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| v3_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f8731]) ).
fof(f10502,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| ~ v3_struct_0(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f8731]) ).
fof(f10600,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| g3_lattices(X0,sK325(X0,X1,X2),sK326(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f8743]) ).
fof(f10601,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| k1_realset1(u1_lattices(X1),X0) = sK326(X0,X1,X2) ),
inference(cnf_transformation,[],[f8743]) ).
fof(f10602,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| k1_realset1(u2_lattices(X1),X0) = sK325(X0,X1,X2) ),
inference(cnf_transformation,[],[f8743]) ).
fof(f10603,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| m2_relset_1(sK326(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f8743]) ).
fof(f10604,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| v1_funct_2(sK326(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f8743]) ).
fof(f10605,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| v1_funct_1(sK326(X0,X1,X2)) ),
inference(cnf_transformation,[],[f8743]) ).
fof(f10606,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| m2_relset_1(sK325(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f8743]) ).
fof(f10607,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| v1_funct_2(sK325(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f8743]) ).
fof(f10608,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| v1_funct_1(sK325(X0,X1,X2)) ),
inference(cnf_transformation,[],[f8743]) ).
fof(f10609,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)
| sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f8743]) ).
fof(f10611,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| v10_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f8745]) ).
fof(f10612,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| v9_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f8745]) ).
fof(f10613,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| v8_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f8745]) ).
fof(f10614,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| v7_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f8745]) ).
fof(f10615,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| v6_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f8745]) ).
fof(f10616,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| v5_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f8745]) ).
fof(f10617,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| v4_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f8745]) ).
fof(f10618,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| v3_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f8745]) ).
fof(f10619,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| ~ v3_struct_0(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f8745]) ).
fof(f10801,plain,
! [X0,X6,X7,X5] :
( ~ sP15(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,sK366(X0,X5)) ),
inference(cnf_transformation,[],[f8801]) ).
fof(f10802,plain,
! [X0,X6,X7,X5] :
( ~ sP15(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(sK366(X0,X5),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8801]) ).
fof(f10803,plain,
! [X0,X6,X7,X5] :
( ~ sP15(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,[],[f8801]) ).
fof(f10804,plain,
! [X0,X6,X7,X5] :
( ~ sP15(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,[],[f8801]) ).
fof(f10805,plain,
! [X0,X6,X7,X5] :
( ~ sP15(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,[],[f8801]) ).
fof(f10806,plain,
! [X0] :
( m1_subset_1(sK363(X0),u1_struct_0(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f8801]) ).
fof(f10807,plain,
! [X0] :
( m1_subset_1(sK364(X0),u1_struct_0(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f8801]) ).
fof(f10808,plain,
! [X0] :
( m1_subset_1(sK365(X0),u1_struct_0(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f8801]) ).
fof(f10809,plain,
! [X0,X4] :
( k1_rlvect_1(X0) != k2_rlvect_1(X0,sK363(X0),X4)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| sK363(X0) != k2_rlvect_1(X0,sK363(X0),k1_rlvect_1(X0))
| k2_rlvect_1(X0,k2_rlvect_1(X0,sK363(X0),sK364(X0)),sK365(X0)) != k2_rlvect_1(X0,sK363(X0),k2_rlvect_1(X0,sK364(X0),sK365(X0)))
| k2_rlvect_1(X0,sK363(X0),sK364(X0)) != k2_rlvect_1(X0,sK364(X0),sK363(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f8801]) ).
fof(f10864,plain,
! [X2,X0,X1,X12] :
( ~ sP17(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| r2_hidden(k4_tarski(sK383(X0,X1,X12),sK384(X0,X1,X12)),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f8821]) ).
fof(f10865,plain,
! [X2,X0,X1,X12] :
( ~ sP17(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| r2_hidden(k4_tarski(sK381(X0,X1,X12),sK382(X0,X1,X12)),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f8821]) ).
fof(f10866,plain,
! [X2,X0,X1,X12] :
( ~ sP17(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| k4_tarski(k4_tarski(sK381(X0,X1,X12),sK383(X0,X1,X12)),k4_tarski(sK382(X0,X1,X12),sK384(X0,X1,X12))) = X12 ),
inference(cnf_transformation,[],[f8821]) ).
fof(f10867,plain,
! [X2,X0,X1,X16,X14,X15,X12,X13] :
( ~ sP17(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,[],[f8821]) ).
fof(f10868,plain,
! [X2,X0,X1] :
( r2_hidden(sK376(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k4_tarski(sK379(X0,X1,X2),sK380(X0,X1,X2)),k1_relat_1(X1))
| sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f8821]) ).
fof(f10869,plain,
! [X2,X0,X1] :
( r2_hidden(sK376(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k4_tarski(sK377(X0,X1,X2),sK378(X0,X1,X2)),k1_relat_1(X0))
| sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f8821]) ).
fof(f10870,plain,
! [X2,X0,X1] :
( r2_hidden(sK376(X0,X1,X2),k1_relat_1(X2))
| sK376(X0,X1,X2) = k4_tarski(k4_tarski(sK377(X0,X1,X2),sK379(X0,X1,X2)),k4_tarski(sK378(X0,X1,X2),sK380(X0,X1,X2)))
| sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f8821]) ).
fof(f10871,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ r2_hidden(sK376(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)) != sK376(X0,X1,X2)
| sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f8821]) ).
fof(f10904,plain,
! [X0,X1] :
( ~ sP18(X0,X1)
| l3_lattices(X1) ),
inference(cnf_transformation,[],[f8835]) ).
fof(f10905,plain,
! [X0,X1] :
( ~ sP18(X0,X1)
| v17_lattices(X1) ),
inference(cnf_transformation,[],[f8835]) ).
fof(f10906,plain,
! [X0,X1] :
( ~ sP18(X0,X1)
| v10_lattices(X1) ),
inference(cnf_transformation,[],[f8835]) ).
fof(f10907,plain,
! [X0,X1] :
( ~ sP18(X0,X1)
| ~ v3_struct_0(X1) ),
inference(cnf_transformation,[],[f8835]) ).
fof(f10908,plain,
! [X0,X1] :
( ~ sP18(X0,X1)
| l3_lattices(X0) ),
inference(cnf_transformation,[],[f8835]) ).
fof(f10909,plain,
! [X0,X1] :
( ~ sP18(X0,X1)
| v17_lattices(X0) ),
inference(cnf_transformation,[],[f8835]) ).
fof(f10910,plain,
! [X0,X1] :
( ~ sP18(X0,X1)
| v10_lattices(X0) ),
inference(cnf_transformation,[],[f8835]) ).
fof(f10911,plain,
! [X0,X1] :
( ~ sP18(X0,X1)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f8835]) ).
fof(f10912,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)
| sP18(X0,X1) ),
inference(cnf_transformation,[],[f8835]) ).
fof(f10928,plain,
! [X0,X1] :
( ~ sP20(X0,X1)
| l3_lattices(X1) ),
inference(cnf_transformation,[],[f8846]) ).
fof(f10929,plain,
! [X0,X1] :
( ~ sP20(X0,X1)
| v11_lattices(X1) ),
inference(cnf_transformation,[],[f8846]) ).
fof(f10930,plain,
! [X0,X1] :
( ~ sP20(X0,X1)
| v10_lattices(X1) ),
inference(cnf_transformation,[],[f8846]) ).
fof(f10931,plain,
! [X0,X1] :
( ~ sP20(X0,X1)
| ~ v3_struct_0(X1) ),
inference(cnf_transformation,[],[f8846]) ).
fof(f10932,plain,
! [X0,X1] :
( ~ sP20(X0,X1)
| l3_lattices(X0) ),
inference(cnf_transformation,[],[f8846]) ).
fof(f10933,plain,
! [X0,X1] :
( ~ sP20(X0,X1)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f8846]) ).
fof(f10934,plain,
! [X0,X1] :
( ~ sP20(X0,X1)
| v10_lattices(X0) ),
inference(cnf_transformation,[],[f8846]) ).
fof(f10935,plain,
! [X0,X1] :
( ~ sP20(X0,X1)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f8846]) ).
fof(f10936,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)
| sP20(X0,X1) ),
inference(cnf_transformation,[],[f8846]) ).
fof(f11017,plain,
! [X2,X0,X1,X4] :
( ~ sP22(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,[],[f8875]) ).
fof(f11018,plain,
! [X2,X0,X1] :
( m2_subset_1(sK404(X0,X1,X2),k1_numbers,k5_numbers)
| sP22(X0,X1,X2) ),
inference(cnf_transformation,[],[f8875]) ).
fof(f11019,plain,
! [X2,X0,X1] :
( r2_hidden(sK404(X0,X1,X2),k4_finseq_1(X2))
| sP22(X0,X1,X2) ),
inference(cnf_transformation,[],[f8875]) ).
fof(f11020,plain,
! [X2,X0,X1] :
( k1_funct_1(X2,sK404(X0,X1,X2)) != k1_funct_1(X1,k1_nat_1(k3_finseq_1(X0),sK404(X0,X1,X2)))
| sP22(X0,X1,X2) ),
inference(cnf_transformation,[],[f8875]) ).
fof(f11691,plain,
! [X0] :
( ~ sP0(X0)
| r2_hidden(k2_tarski(k2_tarski(sK121(X0),sK122(X0)),k2_tarski(sK121(X0),sK121(X0))),X0) ),
inference(definition_unfolding,[],[f9493,f11481]) ).
fof(f11692,plain,
! [X0] :
( ~ sP0(X0)
| r2_hidden(k2_tarski(k2_tarski(sK121(X0),sK123(X0)),k2_tarski(sK121(X0),sK121(X0))),X0) ),
inference(definition_unfolding,[],[f9492,f11481]) ).
fof(f11749,plain,
! [X2,X3,X0,X1,X4,X5] :
( np__0 != sK172(X0,X1,X2,X3,X4,X5)
| sP1(X0,X1,X2,X3,X4,X5) ),
inference(definition_unfolding,[],[f9592,f10020]) ).
fof(f11750,plain,
! [X2,X3,X0,X1,X8,X9,X4,X5] :
( ~ sP1(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,[],[f9586,f10020]) ).
fof(f11959,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ r2_hidden(sK376(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))
| sK376(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))))
| sP17(X0,X1,X2) ),
inference(definition_unfolding,[],[f10871,f11481,f11481,f11481,f11481,f11481]) ).
fof(f11960,plain,
! [X2,X0,X1] :
( r2_hidden(sK376(X0,X1,X2),k1_relat_1(X2))
| sK376(X0,X1,X2) = k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK377(X0,X1,X2),sK379(X0,X1,X2)),k2_tarski(sK377(X0,X1,X2),sK377(X0,X1,X2))),k2_tarski(k2_tarski(sK378(X0,X1,X2),sK380(X0,X1,X2)),k2_tarski(sK378(X0,X1,X2),sK378(X0,X1,X2)))),k2_tarski(k2_tarski(k2_tarski(sK377(X0,X1,X2),sK379(X0,X1,X2)),k2_tarski(sK377(X0,X1,X2),sK377(X0,X1,X2))),k2_tarski(k2_tarski(sK377(X0,X1,X2),sK379(X0,X1,X2)),k2_tarski(sK377(X0,X1,X2),sK377(X0,X1,X2)))))
| sP17(X0,X1,X2) ),
inference(definition_unfolding,[],[f10870,f11481,f11481,f11481]) ).
fof(f11961,plain,
! [X2,X0,X1] :
( r2_hidden(sK376(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK377(X0,X1,X2),sK378(X0,X1,X2)),k2_tarski(sK377(X0,X1,X2),sK377(X0,X1,X2))),k1_relat_1(X0))
| sP17(X0,X1,X2) ),
inference(definition_unfolding,[],[f10869,f11481]) ).
fof(f11962,plain,
! [X2,X0,X1] :
( r2_hidden(sK376(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK379(X0,X1,X2),sK380(X0,X1,X2)),k2_tarski(sK379(X0,X1,X2),sK379(X0,X1,X2))),k1_relat_1(X1))
| sP17(X0,X1,X2) ),
inference(definition_unfolding,[],[f10868,f11481]) ).
fof(f11963,plain,
! [X2,X0,X1,X16,X14,X15,X12,X13] :
( ~ sP17(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,[],[f10867,f11481,f11481,f11481,f11481,f11481]) ).
fof(f11964,plain,
! [X2,X0,X1,X12] :
( ~ sP17(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK381(X0,X1,X12),sK383(X0,X1,X12)),k2_tarski(sK381(X0,X1,X12),sK381(X0,X1,X12))),k2_tarski(k2_tarski(sK382(X0,X1,X12),sK384(X0,X1,X12)),k2_tarski(sK382(X0,X1,X12),sK382(X0,X1,X12)))),k2_tarski(k2_tarski(k2_tarski(sK381(X0,X1,X12),sK383(X0,X1,X12)),k2_tarski(sK381(X0,X1,X12),sK381(X0,X1,X12))),k2_tarski(k2_tarski(sK381(X0,X1,X12),sK383(X0,X1,X12)),k2_tarski(sK381(X0,X1,X12),sK381(X0,X1,X12))))) = X12 ),
inference(definition_unfolding,[],[f10866,f11481,f11481,f11481]) ).
fof(f11965,plain,
! [X2,X0,X1,X12] :
( ~ sP17(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK381(X0,X1,X12),sK382(X0,X1,X12)),k2_tarski(sK381(X0,X1,X12),sK381(X0,X1,X12))),k1_relat_1(X0)) ),
inference(definition_unfolding,[],[f10865,f11481]) ).
fof(f11966,plain,
! [X2,X0,X1,X12] :
( ~ sP17(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK383(X0,X1,X12),sK384(X0,X1,X12)),k2_tarski(sK383(X0,X1,X12),sK383(X0,X1,X12))),k1_relat_1(X1)) ),
inference(definition_unfolding,[],[f10864,f11481]) ).
fof(f12231,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))
| sP12(X0,X1,X2) ),
inference(equality_resolution,[],[f10609]) ).
fof(f12232,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))
| sP12(X0,X1,X2) ),
inference(equality_resolution,[],[f12231]) ).
fof(f12233,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))
| sP12(X0,X1,g3_lattices(X0,k1_realset1(u2_lattices(X1),X0),k1_realset1(u1_lattices(X1),X0))) ),
inference(equality_resolution,[],[f12232]) ).
fof(f12244,plain,
! [X2,X0,X1,X16,X14,X15,X13] :
( ~ sP17(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,[],[f11963]) ).
tcf(c_564,plain,
! [X0: $i] :
( ~ sP0(X0)
| ( sK122(X0) != sK123(X0) ) ),
inference(cnf_transformation,[],[f9494]) ).
tcf(c_565,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK121(X0),sK122(X0)),k2_tarski(sK121(X0),sK121(X0))),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f11691]) ).
tcf(c_566,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK121(X0),sK123(X0)),k2_tarski(sK121(X0),sK121(X0))),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f11692]) ).
tcf(c_658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP1(X0,X1,X2,X3,X4,X5)
| ( sK172(X0,X1,X2,X3,X4,X5) != np__0 ) ),
inference(cnf_transformation,[],[f11749]) ).
tcf(c_659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP1(X4,X0,X2,X3,X1,X5)
| ( k2_binop_1(X0,X0,X0,X1,k8_funct_2(k5_finsub_1(X2),X0,X3,sK172(X4,X0,X2,X3,X1,X5)),k8_funct_2(X2,X0,X4,sK173(X4,X0,X2,X3,X1,X5))) != k8_funct_2(k5_finsub_1(X2),X0,X3,k5_setwiseo(X2,sK172(X4,X0,X2,X3,X1,X5),k2_setwiseo(X2,sK173(X4,X0,X2,X3,X1,X5)))) ) ),
inference(cnf_transformation,[],[f9591]) ).
tcf(c_660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP1(X0,X1,X2,X3,X4,X5)
| r2_hidden(sK173(X0,X1,X2,X3,X4,X5),X5) ),
inference(cnf_transformation,[],[f9590]) ).
tcf(c_661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP1(X0,X1,X2,X3,X4,X5)
| m1_subset_1(sK173(X0,X1,X2,X3,X4,X5),X2) ),
inference(cnf_transformation,[],[f9589]) ).
tcf(c_662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP1(X0,X1,X2,X3,X4,X5)
| r1_tarski(sK172(X0,X1,X2,X3,X4,X5),X5) ),
inference(cnf_transformation,[],[f9588]) ).
tcf(c_663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP1(X0,X1,X2,X3,X4,X5)
| m1_subset_1(sK172(X0,X1,X2,X3,X4,X5),k5_finsub_1(X2)) ),
inference(cnf_transformation,[],[f9587]) ).
tcf(c_664,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)
| ~ m1_subset_1(X7,X2)
| ~ r1_tarski(X6,X5)
| ~ m1_subset_1(X6,k5_finsub_1(X2))
| ~ sP1(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f11750]) ).
tcf(c_743,plain,
! [X0: $i] :
( ~ sP4(X0)
| ( k1_group_1(X0,k1_group_1(X0,sK183(X0),sK184(X0)),sK185(X0)) != k1_group_1(X0,sK183(X0),k1_group_1(X0,sK184(X0),sK185(X0))) ) ),
inference(cnf_transformation,[],[f9674]) ).
tcf(c_744,plain,
! [X0: $i] :
( m1_subset_1(sK185(X0),u1_struct_0(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f9673]) ).
tcf(c_745,plain,
! [X0: $i] :
( m1_subset_1(sK184(X0),u1_struct_0(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f9672]) ).
tcf(c_746,plain,
! [X0: $i] :
( m1_subset_1(sK183(X0),u1_struct_0(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f9671]) ).
tcf(c_753,plain,
! [X0: $i] :
( ~ sP5(X0)
| ( k1_group_1(X0,k1_group_1(X0,sK188(X0),sK189(X0)),sK190(X0)) != k1_group_1(X0,sK188(X0),k1_group_1(X0,sK189(X0),sK190(X0))) ) ),
inference(cnf_transformation,[],[f9684]) ).
tcf(c_754,plain,
! [X0: $i] :
( m1_subset_1(sK190(X0),u1_struct_0(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f9683]) ).
tcf(c_755,plain,
! [X0: $i] :
( m1_subset_1(sK189(X0),u1_struct_0(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f9682]) ).
tcf(c_756,plain,
! [X0: $i] :
( m1_subset_1(sK188(X0),u1_struct_0(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f9681]) ).
tcf(c_1021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k7_funct_2(X4,X3,X2,X1,sK230(X0,X1,X2,X3,X4)) = X0 )
| ~ sP6(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f9959]) ).
tcf(c_1022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_funct_1(sK230(X0,X1,X2,X3,X4))
| ~ sP6(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f9958]) ).
tcf(c_1023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_funct_2(sK230(X0,X1,X2,X3,X4),X3,X2)
| ~ sP6(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f9957]) ).
tcf(c_1024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m2_relset_1(sK230(X0,X1,X2,X3,X4),X3,X2)
| ~ sP6(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f9956]) ).
tcf(c_1224,plain,
! [X0: $i] :
( sP7(X0)
| ( sK261(X0) != sK262(X0) ) ),
inference(cnf_transformation,[],[f10169]) ).
tcf(c_1225,plain,
! [X0: $i] :
( sP7(X0)
| r1_tarski(k2_relat_1(sK261(X0)),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f10168]) ).
tcf(c_1226,plain,
! [X0: $i] :
( sP7(X0)
| r1_tarski(k2_relat_1(sK262(X0)),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f10167]) ).
tcf(c_1227,plain,
! [X0: $i] :
( sP7(X0)
| ( k1_relat_1(sK261(X0)) = k1_relat_1(sK262(X0)) ) ),
inference(cnf_transformation,[],[f10166]) ).
tcf(c_1228,plain,
! [X0: $i] :
( sP7(X0)
| ( k5_relat_1(sK261(X0),X0) = k5_relat_1(sK262(X0),X0) ) ),
inference(cnf_transformation,[],[f10165]) ).
tcf(c_1229,plain,
! [X0: $i] :
( sP7(X0)
| v1_relat_1(sK262(X0)) ),
inference(cnf_transformation,[],[f10164]) ).
tcf(c_1230,plain,
! [X0: $i] :
( sP7(X0)
| v1_funct_1(sK262(X0)) ),
inference(cnf_transformation,[],[f10163]) ).
tcf(c_1231,plain,
! [X0: $i] :
( sP7(X0)
| v1_relat_1(sK261(X0)) ),
inference(cnf_transformation,[],[f10162]) ).
tcf(c_1232,plain,
! [X0: $i] :
( sP7(X0)
| v1_funct_1(sK261(X0)) ),
inference(cnf_transformation,[],[f10161]) ).
tcf(c_1233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ sP7(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X2),k1_relat_1(X1))
| ~ r1_tarski(k2_relat_1(X0),k1_relat_1(X1))
| ( k1_relat_1(X0) != k1_relat_1(X2) )
| ( k5_relat_1(X0,X1) != k5_relat_1(X2,X1) ) ),
inference(cnf_transformation,[],[f10160]) ).
tcf(c_1332,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ~ sP9(X0,X1)
| ( sK279(X0,X1) != sK280(X0,X1) ) ),
inference(cnf_transformation,[],[f10272]) ).
tcf(c_1333,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| r2_hidden(sK279(X0,X1),X0)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f10271]) ).
tcf(c_1334,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| r2_hidden(sK280(X0,X1),X0)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f10270]) ).
tcf(c_1335,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ( k1_funct_1(X1,sK279(X0,X1)) = k1_funct_1(X1,sK280(X0,X1)) )
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f10269]) ).
tcf(c_1336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ v2_funct_1(X0)
| ~ sP9(X3,X0)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X3)
| ( k1_funct_1(X0,X1) != k1_funct_1(X0,X2) ) ),
inference(cnf_transformation,[],[f10268]) ).
tcf(c_1436,plain,
! [X0: $i,X1: $i] :
( sP10(X0,X1)
| ~ r2_hidden(sK296(X0,X1),X0) ),
inference(cnf_transformation,[],[f10382]) ).
tcf(c_1437,plain,
! [X0: $i,X1: $i] :
( sP10(X0,X1)
| r2_hidden(sK295(X0,X1),X0) ),
inference(cnf_transformation,[],[f10381]) ).
tcf(c_1438,plain,
! [X0: $i,X1: $i] :
( sP10(X1,X0)
| r3_lattices(X0,sK295(X1,X0),sK296(X1,X0)) ),
inference(cnf_transformation,[],[f10380]) ).
tcf(c_1439,plain,
! [X0: $i,X1: $i] :
( sP10(X0,X1)
| m1_subset_1(sK296(X0,X1),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10379]) ).
tcf(c_1440,plain,
! [X0: $i,X1: $i] :
( sP10(X0,X1)
| m1_subset_1(sK295(X0,X1),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10378]) ).
tcf(c_1441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X2,X3)
| ~ sP10(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,[],[f10377]) ).
tcf(c_1553,plain,
! [X0: $i,X1: $i] :
( ~ sP11(X1,X0)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10502]) ).
tcf(c_1554,plain,
! [X0: $i,X1: $i] :
( v3_lattices(k8_filter_1(X1,X0))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f10501]) ).
tcf(c_1555,plain,
! [X0: $i,X1: $i] :
( v4_lattices(k8_filter_1(X1,X0))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f10500]) ).
tcf(c_1556,plain,
! [X0: $i,X1: $i] :
( v5_lattices(k8_filter_1(X1,X0))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f10499]) ).
tcf(c_1557,plain,
! [X0: $i,X1: $i] :
( v6_lattices(k8_filter_1(X1,X0))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f10498]) ).
tcf(c_1558,plain,
! [X0: $i,X1: $i] :
( v7_lattices(k8_filter_1(X1,X0))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f10497]) ).
tcf(c_1559,plain,
! [X0: $i,X1: $i] :
( v8_lattices(k8_filter_1(X1,X0))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f10496]) ).
tcf(c_1560,plain,
! [X0: $i,X1: $i] :
( v9_lattices(k8_filter_1(X1,X0))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f10495]) ).
tcf(c_1561,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X1,X0))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f10494]) ).
tcf(c_1650,plain,
! [X0: $i,X1: $i] :
( sP12(X1,X0,g3_lattices(X1,k1_realset1(u2_lattices(X0),X1),k1_realset1(u1_lattices(X0),X1)))
| ~ v1_funct_1(k1_realset1(u2_lattices(X0),X1))
| ~ v1_funct_1(k1_realset1(u1_lattices(X0),X1))
| ~ m2_relset_1(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)
| ~ v1_funct_2(k1_realset1(u2_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(u1_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12233]) ).
tcf(c_1651,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(sK325(X0,X1,X2))
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f10608]) ).
tcf(c_1652,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(sK325(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f10607]) ).
tcf(c_1653,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(sK325(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f10606]) ).
tcf(c_1654,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(sK326(X0,X1,X2))
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f10605]) ).
tcf(c_1655,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(sK326(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f10604]) ).
tcf(c_1656,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(sK326(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f10603]) ).
tcf(c_1657,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK325(X0,X1,X2) = k1_realset1(u2_lattices(X1),X0) )
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f10602]) ).
tcf(c_1658,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK326(X0,X1,X2) = k1_realset1(u1_lattices(X1),X0) )
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f10601]) ).
tcf(c_1659,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( g3_lattices(X0,sK325(X0,X1,X2),sK326(X0,X1,X2)) = X2 )
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f10600]) ).
tcf(c_1661,plain,
! [X0: $i,X1: $i] :
( ~ sP14(X1,X0)
| ~ v3_struct_0(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f10619]) ).
tcf(c_1662,plain,
! [X0: $i,X1: $i] :
( v3_lattices(k8_filter_0(X1,X0))
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f10618]) ).
tcf(c_1663,plain,
! [X0: $i,X1: $i] :
( v4_lattices(k8_filter_0(X1,X0))
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f10617]) ).
tcf(c_1664,plain,
! [X0: $i,X1: $i] :
( v5_lattices(k8_filter_0(X1,X0))
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f10616]) ).
tcf(c_1665,plain,
! [X0: $i,X1: $i] :
( v6_lattices(k8_filter_0(X1,X0))
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f10615]) ).
tcf(c_1666,plain,
! [X0: $i,X1: $i] :
( v7_lattices(k8_filter_0(X1,X0))
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f10614]) ).
tcf(c_1667,plain,
! [X0: $i,X1: $i] :
( v8_lattices(k8_filter_0(X1,X0))
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f10613]) ).
tcf(c_1668,plain,
! [X0: $i,X1: $i] :
( v9_lattices(k8_filter_0(X1,X0))
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f10612]) ).
tcf(c_1669,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_0(X1,X0))
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f10611]) ).
tcf(c_1851,plain,
! [X0: $i,X1: $i] :
( sP15(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,sK363(X0),X1) != k1_rlvect_1(X0) )
| ( k2_rlvect_1(X0,sK363(X0),sK364(X0)) != k2_rlvect_1(X0,sK364(X0),sK363(X0)) )
| ( k2_rlvect_1(X0,sK363(X0),k1_rlvect_1(X0)) != sK363(X0) )
| ( k2_rlvect_1(X0,k2_rlvect_1(X0,sK363(X0),sK364(X0)),sK365(X0)) != k2_rlvect_1(X0,sK363(X0),k2_rlvect_1(X0,sK364(X0),sK365(X0))) ) ),
inference(cnf_transformation,[],[f10809]) ).
tcf(c_1852,plain,
! [X0: $i] :
( sP15(X0)
| m1_subset_1(sK365(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10808]) ).
tcf(c_1853,plain,
! [X0: $i] :
( sP15(X0)
| m1_subset_1(sK364(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10807]) ).
tcf(c_1854,plain,
! [X0: $i] :
( sP15(X0)
| m1_subset_1(sK363(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10806]) ).
tcf(c_1855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_rlvect_1(X1,X0,X2) = k2_rlvect_1(X1,X2,X0) )
| ~ sP15(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,[],[f10805]) ).
tcf(c_1856,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)) )
| ~ sP15(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,[],[f10804]) ).
tcf(c_1857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_rlvect_1(X1,X0,k1_rlvect_1(X1)) = X0 )
| ~ sP15(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,[],[f10803]) ).
tcf(c_1858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK366(X1,X0),u1_struct_0(X1))
| ~ sP15(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,[],[f10802]) ).
tcf(c_1859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_rlvect_1(X1,X0,sK366(X1,X0)) = k1_rlvect_1(X1) )
| ~ sP15(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,[],[f10801]) ).
tcf(c_1914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP17(X4,X5,X6)
| ~ r2_hidden(sK376(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)))) != sK376(X4,X5,X6) ) ),
inference(cnf_transformation,[],[f11959]) ).
tcf(c_1915,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP17(X0,X1,X2)
| r2_hidden(sK376(X0,X1,X2),k1_relat_1(X2))
| ( k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK377(X0,X1,X2),sK379(X0,X1,X2)),k2_tarski(sK377(X0,X1,X2),sK377(X0,X1,X2))),k2_tarski(k2_tarski(sK378(X0,X1,X2),sK380(X0,X1,X2)),k2_tarski(sK378(X0,X1,X2),sK378(X0,X1,X2)))),k2_tarski(k2_tarski(k2_tarski(sK377(X0,X1,X2),sK379(X0,X1,X2)),k2_tarski(sK377(X0,X1,X2),sK377(X0,X1,X2))),k2_tarski(k2_tarski(sK377(X0,X1,X2),sK379(X0,X1,X2)),k2_tarski(sK377(X0,X1,X2),sK377(X0,X1,X2))))) = sK376(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f11960]) ).
tcf(c_1916,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP17(X0,X1,X2)
| r2_hidden(sK376(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK377(X0,X1,X2),sK378(X0,X1,X2)),k2_tarski(sK377(X0,X1,X2),sK377(X0,X1,X2))),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f11961]) ).
tcf(c_1917,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP17(X0,X1,X2)
| r2_hidden(sK376(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK379(X0,X1,X2),sK380(X0,X1,X2)),k2_tarski(sK379(X0,X1,X2),sK379(X0,X1,X2))),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f11962]) ).
tcf(c_1918,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))
| ~ sP17(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,[],[f12244]) ).
tcf(c_1919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK381(X0,X1,X3),sK383(X0,X1,X3)),k2_tarski(sK381(X0,X1,X3),sK381(X0,X1,X3))),k2_tarski(k2_tarski(sK382(X0,X1,X3),sK384(X0,X1,X3)),k2_tarski(sK382(X0,X1,X3),sK382(X0,X1,X3)))),k2_tarski(k2_tarski(k2_tarski(sK381(X0,X1,X3),sK383(X0,X1,X3)),k2_tarski(sK381(X0,X1,X3),sK381(X0,X1,X3))),k2_tarski(k2_tarski(sK381(X0,X1,X3),sK383(X0,X1,X3)),k2_tarski(sK381(X0,X1,X3),sK381(X0,X1,X3))))) = X3 )
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f11964]) ).
tcf(c_1920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK381(X0,X1,X3),sK382(X0,X1,X3)),k2_tarski(sK381(X0,X1,X3),sK381(X0,X1,X3))),k1_relat_1(X0))
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f11965]) ).
tcf(c_1921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK383(X0,X1,X3),sK384(X0,X1,X3)),k2_tarski(sK383(X0,X1,X3),sK383(X0,X1,X3))),k1_relat_1(X1))
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f11966]) ).
tcf(c_1954,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP18(X0,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X1)
| ~ v17_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10912]) ).
tcf(c_1955,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(X0)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f10911]) ).
tcf(c_1956,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X0)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f10910]) ).
tcf(c_1957,plain,
! [X0: $i,X1: $i] :
( v17_lattices(X0)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f10909]) ).
tcf(c_1958,plain,
! [X0: $i,X1: $i] :
( l3_lattices(X0)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f10908]) ).
tcf(c_1959,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(X1)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f10907]) ).
tcf(c_1960,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X1)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f10906]) ).
tcf(c_1961,plain,
! [X0: $i,X1: $i] :
( v17_lattices(X1)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f10905]) ).
tcf(c_1962,plain,
! [X0: $i,X1: $i] :
( l3_lattices(X1)
| ~ sP18(X0,X1) ),
inference(cnf_transformation,[],[f10904]) ).
tcf(c_1978,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP20(X0,X1)
| ~ v11_lattices(X1)
| ~ v11_lattices(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10936]) ).
tcf(c_1979,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(X0)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f10935]) ).
tcf(c_1980,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X0)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f10934]) ).
tcf(c_1981,plain,
! [X0: $i,X1: $i] :
( v11_lattices(X0)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f10933]) ).
tcf(c_1982,plain,
! [X0: $i,X1: $i] :
( l3_lattices(X0)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f10932]) ).
tcf(c_1983,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(X1)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f10931]) ).
tcf(c_1984,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X1)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f10930]) ).
tcf(c_1985,plain,
! [X0: $i,X1: $i] :
( v11_lattices(X1)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f10929]) ).
tcf(c_1986,plain,
! [X0: $i,X1: $i] :
( l3_lattices(X1)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f10928]) ).
tcf(c_2063,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP22(X1,X0,X2)
| ( k1_funct_1(X0,k1_nat_1(k3_finseq_1(X1),sK404(X1,X0,X2))) != k1_funct_1(X2,sK404(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f11020]) ).
tcf(c_2064,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP22(X0,X1,X2)
| r2_hidden(sK404(X0,X1,X2),k4_finseq_1(X2)) ),
inference(cnf_transformation,[],[f11019]) ).
tcf(c_2065,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP22(X0,X1,X2)
| m2_subset_1(sK404(X0,X1,X2),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f11018]) ).
tcf(c_2066,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))
| ~ sP22(X0,X1,X2) ),
inference(cnf_transformation,[],[f11017]) ).
tcf(c_3978,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP20(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1977,c_1986,c_1982,c_1983,c_1979,c_1944]) ).
tcf(c_3981,plain,
! [X0: $i,X1: $i] :
( v11_lattices(k8_filter_1(X0,X1))
| ~ sP20(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1976,c_1986,c_1984,c_1982,c_1980,c_1983,c_1979,c_1976,c_1987]) ).
tcf(c_3984,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP20(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1975,c_1986,c_1984,c_1982,c_1980,c_1983,c_1979,c_1975,c_1987]) ).
tcf(c_3987,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP18(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1953,c_1962,c_1958,c_1959,c_1955,c_1944]) ).
tcf(c_3990,plain,
! [X0: $i,X1: $i] :
( v17_lattices(k8_filter_1(X0,X1))
| ~ sP18(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1952,c_1962,c_1960,c_1958,c_1956,c_1959,c_1955,c_1952,c_1963]) ).
tcf(c_3993,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP18(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1951,c_1962,c_1960,c_1958,c_1956,c_1959,c_1955,c_1951,c_1963]) ).
tcf(c_4004,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(k8_filter_1(X0,X1))
| ~ sP20(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1974,c_1986,c_1982,c_1983,c_1979,c_1990]) ).
tcf(c_4005,plain,
! [X0: $i,X1: $i] :
( ~ sP20(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(renaming,[status(thm)],[c_4004]) ).
tcf(c_4007,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(k8_filter_1(X0,X1))
| ~ sP18(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1950,c_1962,c_1958,c_1959,c_1955,c_1990]) ).
tcf(c_4008,plain,
! [X0: $i,X1: $i] :
( ~ sP18(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(renaming,[status(thm)],[c_4007]) ).
tcf(c_4761,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK121(X0),sK122(X0)),k2_tarski(sK121(X0),sK121(X0))),X0)
| ~ sP0(X0) ),
inference(prop_impl_just,[status(thm)],[c_565]) ).
tcf(c_4763,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK121(X0),sK123(X0)),k2_tarski(sK121(X0),sK121(X0))),X0)
| ~ sP0(X0) ),
inference(prop_impl_just,[status(thm)],[c_566]) ).
tcf(c_34452,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK121(X0),sK121(X0)),k2_tarski(sK121(X0),sK123(X0))),X0)
| ~ sP0(X0) ),
inference(demodulation,[status(thm)],[c_4763,c_1429]) ).
tcf(c_34459,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK121(X0),sK121(X0)),k2_tarski(sK121(X0),sK122(X0))),X0)
| ~ sP0(X0) ),
inference(demodulation,[status(thm)],[c_4761,c_1429]) ).
tcf(c_40664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK383(X0,X1,X3),sK383(X0,X1,X3)),k2_tarski(sK383(X0,X1,X3),sK384(X0,X1,X3))),k1_relat_1(X1))
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP17(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_1921,c_1429]) ).
tcf(c_40674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK381(X0,X1,X3),sK381(X0,X1,X3)),k2_tarski(sK381(X0,X1,X3),sK382(X0,X1,X3))),k1_relat_1(X0))
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP17(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_1920,c_1429]) ).
tcf(c_40980,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP17(X0,X1,X2)
| r2_hidden(sK376(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK379(X0,X1,X2),sK379(X0,X1,X2)),k2_tarski(sK379(X0,X1,X2),sK380(X0,X1,X2))),k1_relat_1(X1)) ),
inference(demodulation,[status(thm)],[c_1917,c_1429]) ).
tcf(c_40990,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP17(X0,X1,X2)
| r2_hidden(sK376(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK377(X0,X1,X2),sK377(X0,X1,X2)),k2_tarski(sK377(X0,X1,X2),sK378(X0,X1,X2))),k1_relat_1(X0)) ),
inference(demodulation,[status(thm)],[c_1916,c_1429]) ).
tcf(c_46473,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))
| ~ sP17(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_1918,c_1414]) ).
tcf(c_47603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP17(X4,X5,X6)
| ~ r2_hidden(sK376(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))) != sK376(X4,X5,X6) ) ),
inference(demodulation,[status(thm)],[c_1914,c_1414]) ).
tcf(c_48824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_zfmisc_1(k2_tarski(sK381(X0,X1,X3),sK381(X0,X1,X3)),k2_tarski(sK383(X0,X1,X3),sK383(X0,X1,X3))),k2_tarski(k2_tarski(k2_tarski(sK381(X0,X1,X3),sK381(X0,X1,X3)),k2_tarski(sK381(X0,X1,X3),sK383(X0,X1,X3))),k2_tarski(k2_tarski(sK382(X0,X1,X3),sK382(X0,X1,X3)),k2_tarski(sK382(X0,X1,X3),sK384(X0,X1,X3))))) = X3 )
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP17(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_1919,c_1414,c_1429]) ).
tcf(c_48866,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP17(X0,X1,X2)
| r2_hidden(sK376(X0,X1,X2),k1_relat_1(X2))
| ( k2_tarski(k2_zfmisc_1(k2_tarski(sK377(X0,X1,X2),sK377(X0,X1,X2)),k2_tarski(sK379(X0,X1,X2),sK379(X0,X1,X2))),k2_tarski(k2_tarski(k2_tarski(sK377(X0,X1,X2),sK377(X0,X1,X2)),k2_tarski(sK377(X0,X1,X2),sK379(X0,X1,X2))),k2_tarski(k2_tarski(sK378(X0,X1,X2),sK378(X0,X1,X2)),k2_tarski(sK378(X0,X1,X2),sK380(X0,X1,X2))))) = sK376(X0,X1,X2) ) ),
inference(demodulation,[status(thm)],[c_1915,c_1414,c_1429]) ).
tcf(c_93481,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK121(X0),sK121(X0)),k2_tarski(sK121(X0),sK123(X0))),X0)
| ~ sP0(X0) ),
inference(prop_impl_just,[status(thm)],[c_34452]) ).
tcf(c_93483,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK121(X0),sK121(X0)),k2_tarski(sK121(X0),sK122(X0))),X0)
| ~ sP0(X0) ),
inference(prop_impl_just,[status(thm)],[c_34459]) ).
tcf(c_93853,plain,
! [X0: $i,X1: $i] :
( ~ sP18(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_4008]) ).
tcf(c_93855,plain,
! [X0: $i,X1: $i] :
( ~ sP20(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_4005]) ).
tcf(c_93939,plain,
! [X0: $i,X1: $i] :
( ~ sP18(X0,X1)
| v10_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_3993]) ).
tcf(c_93940,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP18(X0,X1) ),
inference(renaming,[status(thm)],[c_93939]) ).
tcf(c_93941,plain,
! [X0: $i,X1: $i] :
( ~ sP20(X0,X1)
| v10_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_3984]) ).
tcf(c_93942,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP20(X0,X1) ),
inference(renaming,[status(thm)],[c_93941]) ).
tcf(c_93943,plain,
! [X0: $i,X1: $i] :
( ~ sP18(X0,X1)
| v17_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_3990]) ).
tcf(c_93944,plain,
! [X0: $i,X1: $i] :
( v17_lattices(k8_filter_1(X0,X1))
| ~ sP18(X0,X1) ),
inference(renaming,[status(thm)],[c_93943]) ).
tcf(c_93945,plain,
! [X0: $i,X1: $i] :
( ~ sP18(X0,X1)
| l3_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_3987]) ).
tcf(c_93946,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP18(X0,X1) ),
inference(renaming,[status(thm)],[c_93945]) ).
tcf(c_93947,plain,
! [X0: $i,X1: $i] :
( ~ sP20(X0,X1)
| l3_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_3978]) ).
tcf(c_93948,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP20(X0,X1) ),
inference(renaming,[status(thm)],[c_93947]) ).
tcf(c_93973,plain,
! [X0: $i,X1: $i] :
( ~ sP20(X0,X1)
| v11_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_3981]) ).
tcf(c_93974,plain,
! [X0: $i,X1: $i] :
( v11_lattices(k8_filter_1(X0,X1))
| ~ sP20(X0,X1) ),
inference(renaming,[status(thm)],[c_93973]) ).
tcf(c_327592,plain,
! [X0: $i] :
( sP7(sK89(X0,np__0))
| r1_tarski(k2_relat_1(sK261(sK89(X0,np__0))),np__0) ),
inference(superposition,[status(thm)],[c_409,c_1225]) ).
tcf(c_327594,plain,
! [X0: $i] :
( sP7(X0)
| ~ r2_hidden(k1_relat_1(X0),k2_relat_1(sK261(X0))) ),
inference(superposition,[status(thm)],[c_1225,c_69]) ).
tcf(c_327595,plain,
! [X0: $i,X1: $i] :
( sP7(X1)
| r1_tarski(X0,k2_relat_1(sK261(X1)))
| m1_subset_1(sK25(X0,k2_relat_1(sK261(X1))),X0)
| ~ r1_tarski(X0,k1_relat_1(X1)) ),
inference(superposition,[status(thm)],[c_1225,c_97752]) ).
tcf(c_327608,plain,
! [X0: $i] :
( sP7(sK89(X0,np__0))
| r1_tarski(k2_relat_1(sK262(sK89(X0,np__0))),np__0) ),
inference(superposition,[status(thm)],[c_409,c_1226]) ).
tcf(c_327610,plain,
! [X0: $i] :
( sP7(X0)
| ~ r2_hidden(k1_relat_1(X0),k2_relat_1(sK262(X0))) ),
inference(superposition,[status(thm)],[c_1226,c_69]) ).
tcf(c_327611,plain,
! [X0: $i,X1: $i] :
( sP7(X1)
| r1_tarski(X0,k2_relat_1(sK262(X1)))
| m1_subset_1(sK25(X0,k2_relat_1(sK262(X1))),X0)
| ~ r1_tarski(X0,k1_relat_1(X1)) ),
inference(superposition,[status(thm)],[c_1226,c_97752]) ).
tcf(c_327639,plain,
! [X0: $i] :
( sP7(X0)
| sP8(sK262(X0))
| ~ v1_relat_1(sK262(X0)) ),
inference(superposition,[status(thm)],[c_1230,c_1234]) ).
tcf(c_327640,plain,
! [X0: $i] :
( sP7(X0)
| sP8(sK261(X0))
| ~ v1_relat_1(sK261(X0)) ),
inference(superposition,[status(thm)],[c_1232,c_1234]) ).
tcf(c_327785,plain,
! [X0: $i,X1: $i] :
( sP10(X0,X1)
| ~ r2_hidden(X0,sK295(X0,X1)) ),
inference(superposition,[status(thm)],[c_1437,c_196]) ).
tcf(c_327786,plain,
! [X0: $i,X1: $i] :
( sP10(X0,X1)
| r2_hidden(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_1437,c_192]) ).
tcf(c_327787,plain,
! [X0: $i,X1: $i] :
( sP10(X0,X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1437,c_191]) ).
tcf(c_327788,plain,
! [X0: $i,X1: $i] :
( sP10(X0,X1)
| m1_subset_1(sK295(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_1437,c_186]) ).
tcf(c_327789,plain,
! [X0: $i,X1: $i] :
( sP10(k1_zfmisc_1(X0),X1)
| r1_tarski(sK295(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_1437,c_94]) ).
tcf(c_327790,plain,
! [X0: $i] : sP10(np__0,X0),
inference(superposition,[status(thm)],[c_1437,c_168]) ).
tcf(c_327791,plain,
! [X0: $i] :
( sP10(k1_numbers,X0)
| v1_xreal_0(sK295(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_1437,c_1783]) ).
tcf(c_329093,plain,
! [X0: $i] :
( sP7(X0)
| v1_relat_1(k2_relat_1(sK261(X0)))
| ~ v1_relat_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1225,c_70]) ).
tcf(c_329094,plain,
! [X0: $i] :
( sP7(X0)
| v1_relat_1(k2_relat_1(sK262(X0)))
| ~ v1_relat_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1226,c_70]) ).
tcf(c_329325,plain,
! [X0: $i,X1: $i] :
( sP10(X0,X1)
| ~ r2_hidden(X0,sK47(X0)) ),
inference(superposition,[status(thm)],[c_327786,c_196]) ).
tcf(c_329328,plain,
! [X0: $i,X1: $i] :
( sP10(X0,X1)
| m1_subset_1(sK47(X0),X0) ),
inference(superposition,[status(thm)],[c_327786,c_186]) ).
tcf(c_329340,plain,
! [X0: $i] :
( sP10(k1_numbers,X0)
| v1_xcmplx_0(sK295(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_327791,c_1811]) ).
tcf(c_329383,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK185(X0),u1_struct_0(X0))
| ~ sP4(X0) ),
inference(superposition,[status(thm)],[c_744,c_188]) ).
tcf(c_329384,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK184(X0),u1_struct_0(X0))
| ~ sP4(X0) ),
inference(superposition,[status(thm)],[c_745,c_188]) ).
tcf(c_329385,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK183(X0),u1_struct_0(X0))
| ~ sP4(X0) ),
inference(superposition,[status(thm)],[c_746,c_188]) ).
tcf(c_329386,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK190(X0),u1_struct_0(X0))
| ~ sP5(X0) ),
inference(superposition,[status(thm)],[c_754,c_188]) ).
tcf(c_329387,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK189(X0),u1_struct_0(X0))
| ~ sP5(X0) ),
inference(superposition,[status(thm)],[c_755,c_188]) ).
tcf(c_329388,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK188(X0),u1_struct_0(X0))
| ~ sP5(X0) ),
inference(superposition,[status(thm)],[c_756,c_188]) ).
tcf(c_329394,plain,
! [X0: $i] :
( sP15(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK365(X0),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1852,c_188]) ).
tcf(c_329395,plain,
! [X0: $i] :
( sP15(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK364(X0),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1853,c_188]) ).
tcf(c_329396,plain,
! [X0: $i] :
( sP15(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK363(X0),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1854,c_188]) ).
tcf(c_329599,plain,
! [X0: $i] :
( v1_xboole_0(sK185(X0))
| ~ sP4(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_744,c_190]) ).
tcf(c_329600,plain,
! [X0: $i] :
( v1_xboole_0(sK184(X0))
| ~ sP4(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_745,c_190]) ).
tcf(c_329601,plain,
! [X0: $i] :
( v1_xboole_0(sK183(X0))
| ~ sP4(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_746,c_190]) ).
tcf(c_329602,plain,
! [X0: $i] :
( v1_xboole_0(sK190(X0))
| ~ sP5(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_754,c_190]) ).
tcf(c_329603,plain,
! [X0: $i] :
( v1_xboole_0(sK189(X0))
| ~ sP5(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_755,c_190]) ).
tcf(c_329604,plain,
! [X0: $i] :
( v1_xboole_0(sK188(X0))
| ~ sP5(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_756,c_190]) ).
tcf(c_329610,plain,
! [X0: $i] :
( sP15(X0)
| v1_xboole_0(sK365(X0))
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1852,c_190]) ).
tcf(c_329611,plain,
! [X0: $i] :
( sP15(X0)
| v1_xboole_0(sK364(X0))
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1853,c_190]) ).
tcf(c_329612,plain,
! [X0: $i] :
( sP15(X0)
| v1_xboole_0(sK363(X0))
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1854,c_190]) ).
tcf(c_330709,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP10(k4_xboole_0(X0,X1),X2)
| r2_hidden(sK295(k4_xboole_0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_1437,c_830]) ).
tcf(c_330722,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP10(k4_xboole_0(X0,X1),X2)
| r2_hidden(sK47(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_327786,c_830]) ).
tcf(c_331001,plain,
! [X0: $i] :
( sP7(X0)
| v1_finset_1(k2_relat_1(sK261(X0)))
| ~ v1_finset_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1225,c_872]) ).
tcf(c_331002,plain,
! [X0: $i] :
( sP7(X0)
| v1_finset_1(k2_relat_1(sK262(X0)))
| ~ v1_finset_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1226,c_872]) ).
tcf(c_331438,plain,
! [X0: $i] :
( sP7(X0)
| ( k5_relat_1(np__0,sK262(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_1229,c_1271]) ).
tcf(c_331439,plain,
! [X0: $i] :
( sP7(X0)
| ( k5_relat_1(np__0,sK261(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_1231,c_1271]) ).
tcf(c_331497,plain,
! [X0: $i] :
( sP7(X0)
| ( k5_relat_1(sK262(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_1229,c_1272]) ).
tcf(c_331498,plain,
! [X0: $i] :
( sP7(X0)
| ( k5_relat_1(sK261(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_1231,c_1272]) ).
tcf(c_331750,plain,
! [X0: $i,X1: $i] :
( sP10(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(sK296(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_93,c_1436]) ).
tcf(c_331751,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP10(k2_xboole_0(X0,X1),X2)
| ~ r2_hidden(sK296(k2_xboole_0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_528,c_1436]) ).
tcf(c_331752,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP10(k2_xboole_0(X0,X1),X2)
| ~ r2_hidden(sK296(k2_xboole_0(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_529,c_1436]) ).
tcf(c_331753,plain,
! [X0: $i] :
( sP10(k1_numbers,X0)
| ~ v1_xreal_0(sK296(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_1784,c_1436]) ).
tcf(c_331902,plain,
! [X0: $i,X1: $i] :
( sP10(X1,X0)
| v1_xboole_0(sK296(X1,X0))
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1439,c_190]) ).
tcf(c_331903,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(X1))
| sP10(X0,X1)
| r2_hidden(sK296(X0,X1),u1_struct_0(X1)) ),
inference(superposition,[status(thm)],[c_1439,c_188]) ).
tcf(c_331914,plain,
! [X0: $i,X1: $i] :
( sP10(X1,X0)
| v1_xboole_0(sK295(X1,X0))
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1440,c_190]) ).
tcf(c_331915,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(X1))
| sP10(X0,X1)
| r2_hidden(sK295(X0,X1),u1_struct_0(X1)) ),
inference(superposition,[status(thm)],[c_1440,c_188]) ).
tcf(c_332120,plain,
! [X0: $i,X1: $i] :
( sP10(X0,X1)
| v1_xcmplx_0(sK295(X0,X1))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1437,c_1804]) ).
tcf(c_332144,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(sK47(X0))
| sP10(X0,X1)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_327786,c_1804]) ).
tcf(c_332359,plain,
! [X0: $i] :
( v1_xcmplx_0(sK185(X0))
| ~ sP4(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_744,c_1806]) ).
tcf(c_332360,plain,
! [X0: $i] :
( v1_xcmplx_0(sK184(X0))
| ~ sP4(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_745,c_1806]) ).
tcf(c_332361,plain,
! [X0: $i] :
( v1_xcmplx_0(sK183(X0))
| ~ sP4(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_746,c_1806]) ).
tcf(c_332362,plain,
! [X0: $i] :
( v1_xcmplx_0(sK190(X0))
| ~ sP5(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_754,c_1806]) ).
tcf(c_332363,plain,
! [X0: $i] :
( v1_xcmplx_0(sK189(X0))
| ~ sP5(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_755,c_1806]) ).
tcf(c_332364,plain,
! [X0: $i] :
( v1_xcmplx_0(sK188(X0))
| ~ sP5(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_756,c_1806]) ).
tcf(c_332370,plain,
! [X0: $i,X1: $i] :
( sP10(X1,X0)
| v1_xcmplx_0(sK296(X1,X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1439,c_1806]) ).
tcf(c_332371,plain,
! [X0: $i,X1: $i] :
( sP10(X1,X0)
| v1_xcmplx_0(sK295(X1,X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1440,c_1806]) ).
tcf(c_332372,plain,
! [X0: $i] :
( sP15(X0)
| v1_xcmplx_0(sK365(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1852,c_1806]) ).
tcf(c_332373,plain,
! [X0: $i] :
( sP15(X0)
| v1_xcmplx_0(sK364(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1853,c_1806]) ).
tcf(c_332374,plain,
! [X0: $i] :
( sP15(X0)
| v1_xcmplx_0(sK363(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1854,c_1806]) ).
tcf(c_332632,plain,
! [X0: $i] :
( v1_xreal_0(sK185(X0))
| ~ sP4(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_744,c_1807]) ).
tcf(c_332633,plain,
! [X0: $i] :
( v1_xreal_0(sK184(X0))
| ~ sP4(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_745,c_1807]) ).
tcf(c_332634,plain,
! [X0: $i] :
( v1_xreal_0(sK183(X0))
| ~ sP4(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_746,c_1807]) ).
tcf(c_332635,plain,
! [X0: $i] :
( v1_xreal_0(sK190(X0))
| ~ sP5(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_754,c_1807]) ).
tcf(c_332636,plain,
! [X0: $i] :
( v1_xreal_0(sK189(X0))
| ~ sP5(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_755,c_1807]) ).
tcf(c_332637,plain,
! [X0: $i] :
( v1_xreal_0(sK188(X0))
| ~ sP5(X0)
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_756,c_1807]) ).
tcf(c_332643,plain,
! [X0: $i,X1: $i] :
( sP10(X1,X0)
| v1_xreal_0(sK296(X1,X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1439,c_1807]) ).
tcf(c_332644,plain,
! [X0: $i,X1: $i] :
( sP10(X1,X0)
| v1_xreal_0(sK295(X1,X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1440,c_1807]) ).
tcf(c_332645,plain,
! [X0: $i] :
( sP15(X0)
| v1_xreal_0(sK365(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1852,c_1807]) ).
tcf(c_332646,plain,
! [X0: $i] :
( sP15(X0)
| v1_xreal_0(sK364(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1853,c_1807]) ).
tcf(c_332647,plain,
! [X0: $i] :
( sP15(X0)
| v1_xreal_0(sK363(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1854,c_1807]) ).
tcf(c_332904,plain,
! [X0: $i] :
( v1_xcmplx_0(sK185(X0))
| ~ sP4(X0)
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_744,c_1808]) ).
tcf(c_332905,plain,
! [X0: $i] :
( v1_xcmplx_0(sK184(X0))
| ~ sP4(X0)
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_745,c_1808]) ).
tcf(c_332906,plain,
! [X0: $i] :
( v1_xcmplx_0(sK183(X0))
| ~ sP4(X0)
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_746,c_1808]) ).
tcf(c_332907,plain,
! [X0: $i] :
( v1_xcmplx_0(sK190(X0))
| ~ sP5(X0)
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_754,c_1808]) ).
tcf(c_332908,plain,
! [X0: $i] :
( v1_xcmplx_0(sK189(X0))
| ~ sP5(X0)
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_755,c_1808]) ).
tcf(c_332909,plain,
! [X0: $i] :
( v1_xcmplx_0(sK188(X0))
| ~ sP5(X0)
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_756,c_1808]) ).
tcf(c_332915,plain,
! [X0: $i,X1: $i] :
( sP10(X1,X0)
| v1_xcmplx_0(sK296(X1,X0))
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1439,c_1808]) ).
tcf(c_332916,plain,
! [X0: $i,X1: $i] :
( sP10(X1,X0)
| v1_xcmplx_0(sK295(X1,X0))
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1440,c_1808]) ).
tcf(c_332917,plain,
! [X0: $i] :
( sP15(X0)
| v1_xcmplx_0(sK365(X0))
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1852,c_1808]) ).
tcf(c_332918,plain,
! [X0: $i] :
( sP15(X0)
| v1_xcmplx_0(sK364(X0))
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1853,c_1808]) ).
tcf(c_332919,plain,
! [X0: $i] :
( sP15(X0)
| v1_xcmplx_0(sK363(X0))
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_1854,c_1808]) ).
tcf(c_333362,plain,
! [X0: $i,X1: $i] :
( sP10(X0,X1)
| v4_ordinal2(sK295(X0,X1))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1437,c_2042]) ).
tcf(c_333387,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(sK47(X0))
| sP10(X0,X1)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_327786,c_2042]) ).
tcf(c_333735,plain,
! [X0: $i] :
( sP10(k1_numbers,X0)
| v2_xreal_0(sK295(k1_numbers,X0))
| v3_xreal_0(sK295(k1_numbers,X0))
| v1_xboole_0(sK295(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_327791,c_2168]) ).
tcf(c_333928,plain,
! [X0: $i] :
( sP10(k1_numbers,X0)
| ~ v2_xreal_0(sK295(k1_numbers,X0))
| ~ v3_xreal_0(sK295(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_327791,c_2171]) ).
tcf(c_334232,plain,
! [X0: $i] :
( sP7(X0)
| ( k7_relat_1(sK262(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_1229,c_2249]) ).
tcf(c_334233,plain,
! [X0: $i] :
( sP7(X0)
| ( k7_relat_1(sK261(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_1231,c_2249]) ).
tcf(c_334328,plain,
! [X0: $i] :
( sP7(X0)
| ( k10_relat_1(sK262(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_1229,c_2321]) ).
tcf(c_334329,plain,
! [X0: $i] :
( sP7(X0)
| ( k10_relat_1(sK261(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_1231,c_2321]) ).
tcf(c_334495,plain,
! [X0: $i] :
( sP7(X0)
| ( k9_relat_1(sK262(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_1229,c_2363]) ).
tcf(c_334496,plain,
! [X0: $i] :
( sP7(X0)
| ( k9_relat_1(sK261(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_1231,c_2363]) ).
tcf(c_335014,plain,
! [X0: $i] :
( sP7(X0)
| v1_membered(k2_relat_1(sK261(X0)))
| ~ v1_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1225,c_2460]) ).
tcf(c_335015,plain,
! [X0: $i] :
( sP7(X0)
| v1_membered(k2_relat_1(sK262(X0)))
| ~ v1_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1226,c_2460]) ).
tcf(c_335729,plain,
! [X0: $i] :
( sP7(sK38(X0))
| r1_tarski(k2_relat_1(sK262(sK38(X0))),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_147,c_1226]) ).
tcf(c_335730,plain,
! [X0: $i] :
( sP7(sK38(X0))
| r1_tarski(k2_relat_1(sK261(sK38(X0))),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_147,c_1225]) ).
tcf(c_335793,plain,
! [X0: $i] :
( sP7(sK39(X0))
| r1_tarski(k2_relat_1(sK262(sK39(X0))),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_148,c_1226]) ).
tcf(c_335794,plain,
! [X0: $i] :
( sP7(sK39(X0))
| r1_tarski(k2_relat_1(sK261(sK39(X0))),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_148,c_1225]) ).
tcf(c_335998,plain,
! [X0: $i,X1: $i] :
( sP10(k2_tarski(X0,X0),X1)
| ( sK295(k2_tarski(X0,X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_1437,c_294]) ).
tcf(c_336849,plain,
! [X0: $i] :
( sP7(X0)
| ( k2_xboole_0(k2_relat_1(sK261(X0)),k1_relat_1(X0)) = k1_relat_1(X0) ) ),
inference(superposition,[status(thm)],[c_1225,c_513]) ).
tcf(c_336850,plain,
! [X0: $i] :
( sP7(X0)
| ( k2_xboole_0(k2_relat_1(sK262(X0)),k1_relat_1(X0)) = k1_relat_1(X0) ) ),
inference(superposition,[status(thm)],[c_1226,c_513]) ).
tcf(c_336968,plain,
! [X0: $i] :
( sP7(X0)
| ( k2_xboole_0(k1_relat_1(X0),k2_relat_1(sK262(X0))) = k1_relat_1(X0) ) ),
inference(theory_normalisation,[status(thm)],[c_336850,c_521,c_524]) ).
tcf(c_336971,plain,
! [X0: $i] :
( sP7(X0)
| ( k2_xboole_0(k1_relat_1(X0),k2_relat_1(sK261(X0))) = k1_relat_1(X0) ) ),
inference(theory_normalisation,[status(thm)],[c_336849,c_521,c_524]) ).
tcf(c_337564,plain,
! [X0: $i] :
( sP7(X0)
| ( k4_xboole_0(k2_relat_1(sK261(X0)),k1_relat_1(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_1225,c_817]) ).
tcf(c_337565,plain,
! [X0: $i] :
( sP7(X0)
| ( k4_xboole_0(k2_relat_1(sK262(X0)),k1_relat_1(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_1226,c_817]) ).
tcf(c_337866,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP10(k4_xboole_0(X0,X1),X2)
| ~ r2_hidden(sK295(k4_xboole_0(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_1437,c_831]) ).
tcf(c_337882,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP10(k4_xboole_0(X0,X1),X2)
| ~ r2_hidden(sK47(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_327786,c_831]) ).
tcf(c_338872,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ( k1_relat_1(sK261(X0)) = k1_relat_1(sK262(X0)) )
| ~ sP8(X0) ),
inference(superposition,[status(thm)],[c_1227,c_1222]) ).
tcf(c_340017,plain,
! [X0: $i,X1: $i] :
( v4_lattices(k8_filter_1(X0,X1))
| v3_struct_0(k8_filter_1(X0,X1))
| ~ sP11(X1,X0)
| ~ l3_lattices(k8_filter_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1561,c_1605]) ).
tcf(c_340021,plain,
! [X0: $i,X1: $i] :
( v4_lattices(k8_filter_0(X0,X1))
| v3_struct_0(k8_filter_0(X0,X1))
| ~ sP14(X1,X0)
| ~ l3_lattices(k8_filter_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1669,c_1605]) ).
tcf(c_340111,plain,
! [X0: $i,X1: $i] :
( v5_lattices(k8_filter_1(X0,X1))
| v3_struct_0(k8_filter_1(X0,X1))
| ~ sP11(X1,X0)
| ~ l3_lattices(k8_filter_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1561,c_1606]) ).
tcf(c_340115,plain,
! [X0: $i,X1: $i] :
( v5_lattices(k8_filter_0(X0,X1))
| v3_struct_0(k8_filter_0(X0,X1))
| ~ sP14(X1,X0)
| ~ l3_lattices(k8_filter_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1669,c_1606]) ).
tcf(c_340134,plain,
! [X0: $i,X1: $i] :
( v6_lattices(k8_filter_1(X0,X1))
| v3_struct_0(k8_filter_1(X0,X1))
| ~ sP11(X1,X0)
| ~ l3_lattices(k8_filter_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1561,c_1607]) ).
tcf(c_340138,plain,
! [X0: $i,X1: $i] :
( v6_lattices(k8_filter_0(X0,X1))
| v3_struct_0(k8_filter_0(X0,X1))
| ~ sP14(X1,X0)
| ~ l3_lattices(k8_filter_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1669,c_1607]) ).
tcf(c_340157,plain,
! [X0: $i,X1: $i] :
( v7_lattices(k8_filter_1(X0,X1))
| v3_struct_0(k8_filter_1(X0,X1))
| ~ sP11(X1,X0)
| ~ l3_lattices(k8_filter_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1561,c_1608]) ).
tcf(c_340161,plain,
! [X0: $i,X1: $i] :
( v7_lattices(k8_filter_0(X0,X1))
| v3_struct_0(k8_filter_0(X0,X1))
| ~ sP14(X1,X0)
| ~ l3_lattices(k8_filter_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1669,c_1608]) ).
tcf(c_340186,plain,
! [X0: $i,X1: $i] :
( v8_lattices(k8_filter_1(X0,X1))
| v3_struct_0(k8_filter_1(X0,X1))
| ~ sP11(X1,X0)
| ~ l3_lattices(k8_filter_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1561,c_1609]) ).
tcf(c_340190,plain,
! [X0: $i,X1: $i] :
( v8_lattices(k8_filter_0(X0,X1))
| v3_struct_0(k8_filter_0(X0,X1))
| ~ sP14(X1,X0)
| ~ l3_lattices(k8_filter_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1669,c_1609]) ).
tcf(c_340464,plain,
! [X0: $i,X1: $i] :
( v9_lattices(k8_filter_1(X0,X1))
| v3_struct_0(k8_filter_1(X0,X1))
| ~ sP11(X1,X0)
| ~ l3_lattices(k8_filter_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1561,c_1610]) ).
tcf(c_340468,plain,
! [X0: $i,X1: $i] :
( v9_lattices(k8_filter_0(X0,X1))
| v3_struct_0(k8_filter_0(X0,X1))
| ~ sP14(X1,X0)
| ~ l3_lattices(k8_filter_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1669,c_1610]) ).
tcf(c_340500,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP8(sK325(X0,X1,X2))
| ~ sP12(X0,X1,X2)
| ~ v1_relat_1(sK325(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1651,c_1234]) ).
tcf(c_340508,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP8(sK326(X0,X1,X2))
| ~ sP12(X0,X1,X2)
| ~ v1_relat_1(sK326(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1654,c_1234]) ).
tcf(c_340679,plain,
! [X0: $i] :
( m1_subset_1(np__0,k5_finsub_1(np__0))
| sP10(k5_finsub_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_327546,c_329328]) ).
tcf(c_340682,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(sK47(X0))
| sP10(X0,X1)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_329328,c_1807]) ).
tcf(c_340683,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(sK47(X0))
| sP10(X0,X1)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_329328,c_1806]) ).
tcf(c_340687,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(sK47(k5_finsub_1(X0)))
| sP10(k5_finsub_1(X0),X1) ),
inference(superposition,[status(thm)],[c_329328,c_860]) ).
tcf(c_340688,plain,
! [X0: $i,X1: $i] :
( sP10(k5_finsub_1(X0),X1)
| r1_tarski(sK47(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_329328,c_93114]) ).
tcf(c_340948,plain,
! [X0: $i] :
( v1_relat_1(sK47(k5_finsub_1(np__0)))
| sP10(k5_finsub_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_329328,c_329824]) ).
tcf(c_340967,plain,
! [X0: $i] :
( v1_relat_1(np__0)
| sP10(k5_finsub_1(np__0),X0) ),
inference(light_normalisation,[status(thm)],[c_340948,c_327546]) ).
tcf(c_342088,plain,
! [X0: $i] :
( sP7(X0)
| ( k7_relat_1(sK262(X0),k1_relat_1(sK262(X0))) = sK262(X0) ) ),
inference(superposition,[status(thm)],[c_1229,c_2261]) ).
tcf(c_342089,plain,
! [X0: $i] :
( sP7(X0)
| ( k7_relat_1(sK261(X0),k1_relat_1(sK261(X0))) = sK261(X0) ) ),
inference(superposition,[status(thm)],[c_1231,c_2261]) ).
tcf(c_342517,plain,
! [X0: $i] :
( sP7(X0)
| v1_xboole_0(k2_relat_1(sK261(X0)))
| ~ r1_xboole_0(k2_relat_1(sK261(X0)),k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1225,c_2426]) ).
tcf(c_342518,plain,
! [X0: $i] :
( sP7(X0)
| v1_xboole_0(k2_relat_1(sK262(X0)))
| ~ r1_xboole_0(k2_relat_1(sK262(X0)),k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_1226,c_2426]) ).
tcf(c_343622,plain,
! [X0: $i,X1: $i] :
( sP7(X1)
| r1_tarski(X0,k1_relat_1(X1))
| ~ r1_tarski(X0,k2_relat_1(sK261(X1))) ),
inference(superposition,[status(thm)],[c_1225,c_97]) ).
tcf(c_343623,plain,
! [X0: $i,X1: $i] :
( sP7(X1)
| r1_tarski(X0,k1_relat_1(X1))
| ~ r1_tarski(X0,k2_relat_1(sK262(X1))) ),
inference(superposition,[status(thm)],[c_1226,c_97]) ).
tcf(c_344579,plain,
! [X0: $i,X1: $i] :
( sP7(X1)
| r2_hidden(X0,k1_relat_1(X1))
| ~ r2_hidden(X0,k2_relat_1(sK261(X1))) ),
inference(superposition,[status(thm)],[c_1225,c_104]) ).
tcf(c_344580,plain,
! [X0: $i,X1: $i] :
( sP7(X1)
| r2_hidden(X0,k1_relat_1(X1))
| ~ r2_hidden(X0,k2_relat_1(sK262(X1))) ),
inference(superposition,[status(thm)],[c_1226,c_104]) ).
tcf(c_345068,plain,
! [X0: $i,X1: $i] :
( sP7(sK58(X0,X1))
| r1_tarski(k2_relat_1(sK262(sK58(X0,X1))),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_246,c_1226]) ).
tcf(c_345069,plain,
! [X0: $i,X1: $i] :
( sP7(sK58(X0,X1))
| r1_tarski(k2_relat_1(sK261(sK58(X0,X1))),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_246,c_1225]) ).
tcf(c_345658,plain,
! [X0: $i,X1: $i] :
( sP7(sK89(X0,X1))
| r1_tarski(k2_relat_1(sK262(sK89(X0,X1))),X1)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_405,c_1226]) ).
tcf(c_345659,plain,
! [X0: $i,X1: $i] :
( sP7(sK89(X0,X1))
| r1_tarski(k2_relat_1(sK261(sK89(X0,X1))),X1)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_405,c_1225]) ).
tcf(c_346558,plain,
! [X0: $i,X1: $i] :
( sP10(X0,X1)
| ( k4_xboole_0(X0,k2_tarski(sK296(X0,X1),sK296(X0,X1))) = X0 ) ),
inference(superposition,[status(thm)],[c_802,c_1436]) ).
tcf(c_347325,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP10(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2)
| r2_hidden(sK295(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2),X1) ),
inference(superposition,[status(thm)],[c_1437,c_955]) ).
tcf(c_347342,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP10(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2)
| r2_hidden(sK47(k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_327786,c_955]) ).
tcf(c_347974,plain,
! [X0: $i] :
( sP10(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)
| ~ r2_hidden(sK295(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0),sK24) ),
inference(superposition,[status(thm)],[c_1437,c_347035]) ).
tcf(c_348203,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| v4_ordinal2(sK279(X0,X1))
| ~ v5_membered(X0)
| ~ sP9(X0,X1) ),
inference(superposition,[status(thm)],[c_1333,c_2042]) ).
tcf(c_348204,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| v1_xcmplx_0(sK279(X0,X1))
| ~ v1_membered(X0)
| ~ sP9(X0,X1) ),
inference(superposition,[status(thm)],[c_1333,c_1804]) ).
tcf(c_348205,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ~ sP9(X0,X1)
| ~ r2_hidden(X0,sK279(X0,X1)) ),
inference(superposition,[status(thm)],[c_1333,c_196]) ).
tcf(c_348206,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| r2_hidden(sK47(X0),X0)
| ~ sP9(X0,X1) ),
inference(superposition,[status(thm)],[c_1333,c_192]) ).
tcf(c_348207,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ~ v1_xboole_0(X0)
| ~ sP9(X0,X1) ),
inference(superposition,[status(thm)],[c_1333,c_191]) ).
tcf(c_348208,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| m1_subset_1(sK279(X0,X1),X0)
| ~ sP9(X0,X1) ),
inference(superposition,[status(thm)],[c_1333,c_186]) ).
tcf(c_348209,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| r1_tarski(sK279(k1_zfmisc_1(X0),X1),X0)
| ~ sP9(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_1333,c_94]) ).
tcf(c_348210,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ sP9(np__0,X0) ),
inference(superposition,[status(thm)],[c_1333,c_168]) ).
tcf(c_348211,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ( sK279(k2_tarski(X0,X0),X1) = X0 )
| ~ sP9(k2_tarski(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_1333,c_294]) ).
tcf(c_348212,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X2)
| ~ sP9(k4_xboole_0(X0,X1),X2)
| ~ r2_hidden(sK279(k4_xboole_0(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_1333,c_831]) ).
tcf(c_348213,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X2)
| r2_hidden(sK279(k4_xboole_0(X0,X1),X2),X0)
| ~ sP9(k4_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1333,c_830]) ).
tcf(c_348214,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X2)
| r2_hidden(sK279(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2),X1)
| ~ sP9(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_1333,c_955]) ).
tcf(c_348215,plain,
! [X0: $i] :
( v2_funct_1(X0)
| v1_xreal_0(sK279(k1_numbers,X0))
| ~ sP9(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_1333,c_1783]) ).
tcf(c_348216,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ sP9(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)
| ~ r2_hidden(sK279(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0),sK24) ),
inference(superposition,[status(thm)],[c_1333,c_347035]) ).
tcf(c_348335,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| v4_ordinal2(sK280(X0,X1))
| ~ v5_membered(X0)
| ~ sP9(X0,X1) ),
inference(superposition,[status(thm)],[c_1334,c_2042]) ).
tcf(c_348336,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| v1_xcmplx_0(sK280(X0,X1))
| ~ v1_membered(X0)
| ~ sP9(X0,X1) ),
inference(superposition,[status(thm)],[c_1334,c_1804]) ).
tcf(c_348337,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ~ sP9(X0,X1)
| ~ r2_hidden(X0,sK280(X0,X1)) ),
inference(superposition,[status(thm)],[c_1334,c_196]) ).
tcf(c_348340,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| m1_subset_1(sK280(X0,X1),X0)
| ~ sP9(X0,X1) ),
inference(superposition,[status(thm)],[c_1334,c_186]) ).
tcf(c_348341,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| r1_tarski(sK280(k1_zfmisc_1(X0),X1),X0)
| ~ sP9(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_1334,c_94]) ).
tcf(c_348343,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ( sK280(k2_tarski(X0,X0),X1) = X0 )
| ~ sP9(k2_tarski(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_1334,c_294]) ).
tcf(c_348344,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X2)
| ~ sP9(k4_xboole_0(X0,X1),X2)
| ~ r2_hidden(sK280(k4_xboole_0(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_1334,c_831]) ).
tcf(c_348345,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X2)
| r2_hidden(sK280(k4_xboole_0(X0,X1),X2),X0)
| ~ sP9(k4_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1334,c_830]) ).
tcf(c_348346,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X2)
| r2_hidden(sK280(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2),X1)
| ~ sP9(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_1334,c_955]) ).
tcf(c_348347,plain,
! [X0: $i] :
( v2_funct_1(X0)
| v1_xreal_0(sK280(k1_numbers,X0))
| ~ sP9(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_1334,c_1783]) ).
tcf(c_348348,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ sP9(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)
| ~ r2_hidden(sK280(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0),sK24) ),
inference(superposition,[status(thm)],[c_1334,c_347035]) ).
tcf(c_349413,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ sP9(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),X0)
| ~ r2_hidden(sK279(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),X0),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_1333,c_347161]) ).
tcf(c_349414,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ sP9(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),X0)
| ~ r2_hidden(sK280(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),X0),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_1334,c_347161]) ).
tcf(c_349417,plain,
! [X0: $i] :
( sP10(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),X0)
| ~ r2_hidden(sK295(k2_tarski(a_2_0_lopclset(sK23,sK24),a_2_0_lopclset(sK23,sK24)),X0),sK47(a_2_0_lopclset(sK23,sK24))) ),
inference(superposition,[status(thm)],[c_1437,c_347161]) ).
tcf(c_349916,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP22(X1,X2,X0)
| v4_ordinal2(sK404(X1,X2,X0))
| ~ v5_membered(k4_finseq_1(X0)) ),
inference(superposition,[status(thm)],[c_2064,c_2042]) ).
tcf(c_349917,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP22(X1,X2,X0)
| v1_xcmplx_0(sK404(X1,X2,X0))
| ~ v1_membered(k4_finseq_1(X0)) ),
inference(superposition,[status(thm)],[c_2064,c_1804]) ).
tcf(c_349918,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP22(X1,X2,X0)
| ~ r2_hidden(k4_finseq_1(X0),sK404(X1,X2,X0)) ),
inference(superposition,[status(thm)],[c_2064,c_196]) ).
tcf(c_349919,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP22(X1,X2,X0)
| r2_hidden(sK47(k4_finseq_1(X0)),k4_finseq_1(X0)) ),
inference(superposition,[status(thm)],[c_2064,c_192]) ).
tcf(c_349920,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP22(X1,X2,X0)
| ~ v1_xboole_0(k4_finseq_1(X0)) ),
inference(superposition,[status(thm)],[c_2064,c_191]) ).
tcf(c_349921,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP22(X0,X1,X2)
| m1_subset_1(sK404(X0,X1,X2),k4_finseq_1(X2)) ),
inference(superposition,[status(thm)],[c_2064,c_186]) ).
tcf(c_349979,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP22(X0,X1,X2)
| ( k1_card_1(sK404(X0,X1,X2)) = sK404(X0,X1,X2) ) ),
inference(superposition,[status(thm)],[c_2065,c_1297]) ).
tcf(c_349980,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP22(X0,X1,X2)
| r2_wellord2(k2_finseq_1(sK404(X0,X1,X2)),sK404(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2065,c_2061]) ).
tcf(c_349981,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP22(X0,X1,X2)
| v1_finset_1(sK404(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2065,c_849]) ).
tcf(c_350277,plain,
! [X0: $i] :
( sP7(X0)
| v1_finset_1(sK262(X0))
| ~ v1_finseq_1(sK262(X0))
| ~ v1_relat_1(sK262(X0)) ),
inference(superposition,[status(thm)],[c_1230,c_2217]) ).
tcf(c_350278,plain,
! [X0: $i] :
( sP7(X0)
| v1_finset_1(sK261(X0))
| ~ v1_finseq_1(sK261(X0))
| ~ v1_relat_1(sK261(X0)) ),
inference(superposition,[status(thm)],[c_1232,c_2217]) ).
tcf(c_350281,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(sK325(X0,X1,X2))
| ~ sP12(X0,X1,X2)
| ~ v1_finseq_1(sK325(X0,X1,X2))
| ~ v1_relat_1(sK325(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1651,c_2217]) ).
tcf(c_350282,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(sK326(X0,X1,X2))
| ~ sP12(X0,X1,X2)
| ~ v1_finseq_1(sK326(X0,X1,X2))
| ~ v1_relat_1(sK326(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1654,c_2217]) ).
tcf(c_350735,plain,
! [X0: $i] :
( sP7(X0)
| ( k10_relat_1(sK262(X0),k2_relat_1(sK262(X0))) = k1_relat_1(sK262(X0)) ) ),
inference(superposition,[status(thm)],[c_1229,c_2323]) ).
tcf(c_350736,plain,
! [X0: $i] :
( sP7(X0)
| ( k10_relat_1(sK261(X0),k2_relat_1(sK261(X0))) = k1_relat_1(sK261(X0)) ) ),
inference(superposition,[status(thm)],[c_1231,c_2323]) ).
tcf(c_351007,plain,
! [X0: $i] :
( sP7(X0)
| ( k9_relat_1(sK262(X0),k1_relat_1(sK262(X0))) = k2_relat_1(sK262(X0)) ) ),
inference(superposition,[status(thm)],[c_1229,c_2365]) ).
tcf(c_351008,plain,
! [X0: $i] :
( sP7(X0)
| ( k9_relat_1(sK261(X0),k1_relat_1(sK261(X0))) = k2_relat_1(sK261(X0)) ) ),
inference(superposition,[status(thm)],[c_1231,c_2365]) ).
tcf(c_353117,plain,
! [X0: $i,X1: $i] :
( sP7(X0)
| r1_xboole_0(k2_relat_1(sK261(X0)),X1)
| ~ r1_xboole_0(k1_relat_1(X0),X1) ),
inference(superposition,[status(thm)],[c_1225,c_2433]) ).
tcf(c_353118,plain,
! [X0: $i,X1: $i] :
( sP7(X0)
| r1_xboole_0(k2_relat_1(sK262(X0)),X1)
| ~ r1_xboole_0(k1_relat_1(X0),X1) ),
inference(superposition,[status(thm)],[c_1226,c_2433]) ).
tcf(c_353870,plain,
! [X0: $i] :
( sP7(X0)
| ( k2_relat_1(sK261(X0)) = k1_relat_1(X0) )
| ~ r1_tarski(k1_relat_1(X0),k2_relat_1(sK261(X0))) ),
inference(superposition,[status(thm)],[c_1225,c_98]) ).
tcf(c_353871,plain,
! [X0: $i] :
( sP7(X0)
| ( k2_relat_1(sK262(X0)) = k1_relat_1(X0) )
| ~ r1_tarski(k1_relat_1(X0),k2_relat_1(sK262(X0))) ),
inference(superposition,[status(thm)],[c_1226,c_98]) ).
tcf(c_354994,plain,
! [X0: $i] :
( v2_funct_1(X0)
| r1_xboole_0(k2_tarski(sK279(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0),sK279(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)),sK24)
| ~ sP9(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0) ),
inference(superposition,[status(thm)],[c_1333,c_347850]) ).
tcf(c_354995,plain,
! [X0: $i] :
( v2_funct_1(X0)
| r1_xboole_0(k2_tarski(sK280(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0),sK280(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)),sK24)
| ~ sP9(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0) ),
inference(superposition,[status(thm)],[c_1334,c_347850]) ).
tcf(c_354998,plain,
! [X0: $i] :
( sP10(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)
| r1_xboole_0(k2_tarski(sK295(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0),sK295(k2_tarski(u1_struct_0(sK23),u1_struct_0(sK23)),X0)),sK24) ),
inference(superposition,[status(thm)],[c_1437,c_347850]) ).
tcf(c_355636,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X2)
| ~ sP9(X1,X2)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK279(X1,X2)) ),
inference(superposition,[status(thm)],[c_1333,c_184]) ).
tcf(c_355637,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X2)
| ~ sP9(X1,X2)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK280(X1,X2)) ),
inference(superposition,[status(thm)],[c_1334,c_184]) ).
tcf(c_355640,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP10(X1,X2)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK295(X1,X2)) ),
inference(superposition,[status(thm)],[c_1437,c_184]) ).
tcf(c_355647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP22(X1,X2,X3)
| ~ r2_hidden(k4_finseq_1(X3),X0)
| ~ r2_hidden(X0,sK404(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2064,c_184]) ).
tcf(c_355670,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP10(X1,X2)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK47(X1)) ),
inference(superposition,[status(thm)],[c_327786,c_184]) ).
tcf(c_356211,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ sP9(sK47(a_2_0_lopclset(sK23,sK24)),X0)
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK279(sK47(a_2_0_lopclset(sK23,sK24)),X0)) ),
inference(superposition,[status(thm)],[c_1333,c_355683]) ).
tcf(c_356212,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ sP9(sK47(a_2_0_lopclset(sK23,sK24)),X0)
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK280(sK47(a_2_0_lopclset(sK23,sK24)),X0)) ),
inference(superposition,[status(thm)],[c_1334,c_355683]) ).
tcf(c_356213,plain,
! [X0: $i] :
( sP10(sK47(a_2_0_lopclset(sK23,sK24)),X0)
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK295(sK47(a_2_0_lopclset(sK23,sK24)),X0)) ),
inference(superposition,[status(thm)],[c_1437,c_355683]) ).
tcf(c_356231,plain,
! [X0: $i] :
( sP10(sK47(a_2_0_lopclset(sK23,sK24)),X0)
| ~ r2_hidden(a_2_0_lopclset(sK23,sK24),sK47(sK47(a_2_0_lopclset(sK23,sK24)))) ),
inference(superposition,[status(thm)],[c_327786,c_355683]) ).
tcf(c_356362,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_355725,c_355693,c_355687,c_355681,c_355661,c_355172,c_355171,c_355170,c_355169,c_355168,c_355166,c_355155,c_355141,c_355023,c_354988,c_354987,c_354978,c_354901,c_354871,c_354859,c_354852,c_354851,c_354850,c_354848,c_354847,c_354846,c_354845,c_354844,c_354843,c_354842,c_354841,c_354840,c_354839,c_354838,c_354836,c_354835,c_354834,c_354833,c_354832,c_354831,c_354829,c_354828,c_354827,c_354826,c_354825,c_354824,c_354823,c_354813,c_354792,c_354791,c_354790,c_354789,c_354788,c_354787,c_354786,c_354785,c_354784,c_354783,c_354782,c_354781,c_354780,c_354567,c_354528,c_354503,c_354496,c_354495,c_354494,c_354493,c_354492,c_354491,c_354490,c_354489,c_354488,c_354487,c_354486,c_354485,c_354484,c_354483,c_354482,c_354481,c_354479,c_354478,c_354477,c_354476,c_354475,c_354474,c_354473,c_354472,c_354471,c_354470,c_354469,c_354467,c_354466,c_354465,c_354464,c_354462,c_354460,c_354459,c_354458,c_354457,c_354456,c_354455,c_354454,c_353960,c_353959,c_353958,c_353918,c_353917,c_353916,c_353914,c_353894,c_353712,c_353207,c_353206,c_353205,c_353165,c_353164,c_353163,c_353161,c_353141,c_353096,c_352997,c_352993,c_352988,c_352987,c_352621,c_352620,c_352619,c_352617,c_352606,c_352590,c_352492,c_352486,c_352470,c_352467,c_352463,c_352453,c_352444,c_352316,c_352310,c_352309,c_352308,c_352249,c_352248,c_352247,c_352246,c_352229,c_352228,c_352227,c_352226,c_351763,c_351755,c_351749,c_351744,c_351743,c_351742,c_351740,c_351729,c_351659,c_351658,c_351632,c_351631,c_351630,c_351626,c_351338,c_351336,c_351326,c_351325,c_351323,c_351321,c_351306,c_351278,c_351044,c_351043,c_350988,c_350923,c_350912,c_350906,c_350905,c_350904,c_350903,c_350902,c_350901,c_350900,c_350772,c_350771,c_350716,c_350672,c_350657,c_350655,c_350654,c_350653,c_350652,c_350651,c_350650,c_350649,c_350572,c_350542,c_350496,c_350487,c_350474,c_350454,c_350452,c_350214,c_350213,c_350212,c_350134,c_350122,c_350117,c_350116,c_350115,c_350114,c_350113,c_350112,c_350111,c_350110,c_350109,c_350108,c_350107,c_350105,c_350104,c_350103,c_350102,c_350101,c_350100,c_350098,c_350097,c_350096,c_350095,c_350094,c_350044,c_350031,c_350029,c_350022,c_349887,c_349878,c_349877,c_349876,c_349779,c_349766,c_349764,c_349676,c_349673,c_349670,c_349665,c_349662,c_349569,c_349568,c_349567,c_349566,c_349565,c_349564,c_349563,c_349441,c_349407,c_349406,c_349211,c_349210,c_349209,c_349167,c_349089,c_349088,c_349086,c_349059,c_348928,c_348927,c_348900,c_348886,c_348885,c_348884,c_348883,c_348881,c_348880,c_348879,c_348878,c_348877,c_348876,c_348875,c_348874,c_348873,c_348872,c_348871,c_348870,c_348869,c_348868,c_348866,c_348863,c_348862,c_348861,c_348859,c_348856,c_348855,c_348854,c_348867,c_348851,c_348850,c_348847,c_348845,c_348844,c_348843,c_348654,c_348653,c_348651,c_348630,c_348183,c_347998,c_347966,c_347965,c_347878,c_347877,c_347875,c_347848,c_347837,c_347834,c_347829,c_347752,c_347739,c_347738,c_347737,c_347736,c_347735,c_347734,c_347733,c_347284,c_347271,c_347202,c_347196,c_347184,c_347179,c_347172,c_347171,c_347167,c_347076,c_347070,c_347058,c_347053,c_347046,c_347045,c_347041,c_346961,c_346941,c_346940,c_346939,c_346936,c_346934,c_346884,c_346866,c_346865,c_346862,c_346861,c_346860,c_346859,c_346857,c_346855,c_346656,c_346655,c_346654,c_346612,c_346554,c_346541,c_346540,c_346539,c_346471,c_346388,c_346135,c_346119,c_346115,c_346113,c_346109,c_346053,c_345977,c_345939,c_345825,c_345818,c_345813,c_345812,c_345810,c_345801,c_345798,c_345784,c_345779,c_345749,c_345746,c_345739,c_345737,c_345548,c_345294,c_345293,c_345291,c_345280,c_345151,c_345018,c_344656,c_344655,c_344654,c_344624,c_344623,c_344621,c_343698,c_343697,c_343696,c_343666,c_343665,c_343663,c_343644,c_342591,c_342590,c_342589,c_342561,c_342560,c_342558,c_342377,c_342376,c_342122,c_342121,c_341745,c_341732,c_341722,c_341486,c_341475,c_341474,c_341472,c_341215,c_341185,c_341184,c_341183,c_341182,c_341181,c_341180,c_341178,c_341177,c_341176,c_341174,c_341172,c_341171,c_341170,c_341169,c_341165,c_341163,c_341157,c_341158,c_341153,c_341152,c_341151,c_341150,c_341149,c_341148,c_341147,c_341146,c_340970,c_340939,c_339759,c_339756,c_339132,c_339131,c_338455,c_338453,c_338058,c_338057,c_338056,c_338055,c_337632,c_337631,c_337630,c_337607,c_337605,c_337317,c_337202,c_337201,c_337200,c_337199,c_337198,c_337197,c_337196,c_337191,c_337188,c_337187,c_337186,c_337184,c_337183,c_337182,c_337003,c_336933,c_336932,c_336931,c_336776,c_335501,c_335500,c_335493,c_335490,c_335488,c_335487,c_335486,c_335076,c_335056,c_335054,c_334956,c_334955,c_334954,c_334953,c_334952,c_334951,c_334950,c_334945,c_334944,c_334943,c_334941,c_334940,c_334705,c_334703,c_334598,c_334596,c_334082,c_333942,c_333941,c_333940,c_333934,c_333933,c_333932,c_333931,c_333930,c_333929,c_333924,c_333922,c_333783,c_333749,c_333748,c_333747,c_333741,c_333740,c_333739,c_333738,c_333737,c_333736,c_333731,c_333729,c_333690,c_333668,c_333667,c_333111,c_333096,c_332925,c_332653,c_332380,c_331606,c_331591,c_341769,c_341768,c_341159,c_341758,c_341754,c_341753,c_352979,c_352289,c_341744,c_342360,c_341742,c_331197,c_331182,c_331039,c_331037,c_330926,c_330799,c_330797,c_330650,c_330648,c_330647,c_330645,c_330644,c_330642,c_330611,c_330609,c_330608,c_330606,c_330288,c_330279,c_330278,c_330277,c_330276,c_330275,c_330274,c_330273,c_330029,c_330269,c_330268,c_330264,c_330170,c_329808,c_329618,c_329402,c_329361,c_329130,c_328768,c_328766,c_328329,c_328327,c_328147,c_328146,c_328145,c_328144,c_328143,c_328142,c_328141,c_328139,c_327844,c_327843,c_327842,c_327840,c_327838,c_327056,c_326958,c_326948,c_350010,c_350009,c_350008,c_347836,c_347835,c_347833,c_347828,c_347827,c_332416,c_332689,c_326208,c_326157,c_326126,c_325864,c_325744,c_325369,c_329773,c_329770,c_332164,c_333407,c_355694,c_324795,c_324767,c_324723,c_324695,c_324667,c_329767,c_333402,c_329762,c_329764,c_356239,c_356238,c_356237,c_356236,c_356235,c_356234,c_356233,c_356232,c_356230,c_356231,c_356229,c_356228,c_356227,c_356226,c_356225,c_356224,c_356223,c_356222,c_356221,c_356220,c_356219,c_356218,c_356217,c_356216,c_356215,c_356214,c_356213,c_356212,c_356211,c_356210,c_356209,c_356208,c_356207,c_356206,c_356205,c_356204,c_356203,c_356202,c_356201,c_356159,c_356158,c_356157,c_356156,c_356155,c_356154,c_356153,c_356152,c_356151,c_356150,c_356149,c_356148,c_356147,c_355685,c_356129,c_356126,c_356122,c_356120,c_356119,c_356118,c_356117,c_356116,c_356115,c_356087,c_356081,c_356079,c_356078,c_356077,c_356076,c_356075,c_356082,c_355728,c_355724,c_355723,c_355722,c_355721,c_355720,c_355719,c_355718,c_355717,c_355716,c_355715,c_355713,c_355712,c_355711,c_355710,c_355709,c_355708,c_355707,c_355706,c_355704,c_355703,c_355702,c_355701,c_355700,c_355699,c_355698,c_355697,c_355696,c_355692,c_355691,c_355690,c_355689,c_355688,c_355686,c_355684,c_355683,c_355682,c_355680,c_355679,c_355678,c_355677,c_355676,c_355675,c_355674,c_355673,c_355672,c_355671,c_355669,c_355670,c_355668,c_355667,c_355666,c_355665,c_355664,c_355663,c_355662,c_355658,c_355656,c_355655,c_355654,c_355653,c_355652,c_355651,c_355650,c_355649,c_355648,c_355647,c_355646,c_355645,c_355644,c_355643,c_355642,c_355641,c_355640,c_355639,c_355638,c_355637,c_355636,c_355635,c_355634,c_355633,c_355632,c_355631,c_355630,c_355629,c_355628,c_355627,c_355626,c_355625,c_355624,c_355623,c_355622,c_355621,c_355608,c_355607,c_355603,c_355602,c_355601,c_355599,c_355174,c_355173,c_355167,c_355165,c_355164,c_355163,c_355162,c_355161,c_355160,c_355159,c_355158,c_355157,c_355156,c_355154,c_355153,c_355152,c_355151,c_355150,c_355149,c_355148,c_355147,c_355146,c_355145,c_355144,c_355143,c_355142,c_355140,c_355139,c_355138,c_354446,c_354445,c_354444,c_354443,c_354442,c_354441,c_354440,c_354439,c_354438,c_354437,c_354436,c_355577,c_355576,c_355573,c_355571,c_355570,c_355569,c_355568,c_355567,c_355566,c_355565,c_354229,c_354189,c_354188,c_354778,c_354081,c_354078,c_354069,c_353962,c_354747,c_353961,c_353957,c_353956,c_353955,c_353954,c_353953,c_353952,c_353951,c_353950,c_353949,c_353948,c_353947,c_353946,c_353945,c_353944,c_353943,c_353942,c_353941,c_353940,c_353939,c_353938,c_353937,c_353936,c_353935,c_353934,c_353933,c_353932,c_353931,c_353930,c_353929,c_353928,c_353927,c_353926,c_353925,c_353924,c_353923,c_353921,c_353919,c_353915,c_353913,c_353912,c_353911,c_353910,c_353909,c_353908,c_353907,c_353906,c_353905,c_353903,c_353902,c_353901,c_353900,c_353899,c_353898,c_353897,c_353896,c_353895,c_353893,c_353892,c_353891,c_353890,c_353889,c_353888,c_353887,c_353886,c_353885,c_353884,c_353883,c_353882,c_353881,c_353880,c_353879,c_353878,c_353877,c_353876,c_353875,c_353874,c_353873,c_353872,c_353871,c_353870,c_353869,c_353868,c_353867,c_353866,c_353865,c_353864,c_353863,c_353862,c_353861,c_353860,c_353859,c_353858,c_353857,c_353856,c_353855,c_353854,c_353853,c_353852,c_353851,c_353848,c_353847,c_353846,c_353845,c_353844,c_353843,c_353753,c_353749,c_353746,c_353745,c_353738,c_353737,c_353736,c_353735,c_353729,c_353728,c_353725,c_353724,c_353723,c_353722,c_353719,c_353718,c_353717,c_353716,c_353715,c_353714,c_353713,c_353710,c_353709,c_353708,c_353707,c_353706,c_353701,c_353697,c_353696,c_353695,c_353693,c_353692,c_353691,c_353687,c_353686,c_353685,c_353682,c_353681,c_353680,c_353679,c_353678,c_353677,c_353676,c_353671,c_353670,c_353727,c_352624,c_352623,c_352622,c_352618,c_352616,c_352615,c_352614,c_352613,c_352612,c_352611,c_352610,c_352609,c_352608,c_352607,c_352605,c_352604,c_352603,c_352602,c_352601,c_352600,c_352599,c_352598,c_352596,c_352595,c_352594,c_352593,c_352592,c_352591,c_352589,c_352588,c_352587,c_352491,c_352490,c_352485,c_352484,c_352469,c_352468,c_352462,c_352461,c_354411,c_354410,c_354409,c_354408,c_354407,c_354406,c_354405,c_354404,c_353392,c_354748,c_353208,c_353204,c_353203,c_353202,c_353201,c_353200,c_353199,c_353198,c_353197,c_353196,c_353195,c_353194,c_353193,c_353192,c_353191,c_353190,c_353189,c_353188,c_353187,c_353186,c_353185,c_353184,c_353183,c_353182,c_353181,c_353180,c_353179,c_353178,c_353177,c_353176,c_353175,c_353174,c_353173,c_353172,c_353171,c_35317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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT288+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 20:54:04 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 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
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.41 % Proving...
% 113.04/32.18 % SZS status Started for theBenchmark.p
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/x3emisp1 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/x3emisp1_error
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/uqkygz65 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/uqkygz65_error
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/uudziyfm 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/uudziyfm_error
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/v5psrak3 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/v5psrak3_error
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/65wcblzh 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/65wcblzh_error
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/1ts3c6w5 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/1ts3c6w5_error
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/wsj088wl 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/wsj088wl_error
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/3fseapa6 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/3fseapa6_error
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/fld5bn13 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/fld5bn13_error
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/i1e31kui 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/i1e31kui_error
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/8mwwged1 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/8mwwged1_error
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/9ccv_e2w 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/9ccv_e2w_error
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/xqufm2q1 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/xqufm2q1_error
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/gjpaltrn 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/gjpaltrn_error
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/zgofj516 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/zgofj516_error
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/4wh2xtan 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/4wh2xtan_error
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/e94hkn2i 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/e94hkn2i_error
% 113.04/32.18 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")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 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_x_6nv6ot/d98j7ucn 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/d98j7ucn_error
% 113.04/32.18 ERROR - "ProverProcess:heur/492343:6.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 113.04/32.18 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_af_restrict_to_split_sk false --abstr_ref_prep false --abstr_ref_sig_restrict funpre --abstr_ref_under "[]" --abstr_ref_until_sat false --add_important_lit false --bc_imp_inh "[conj_cone]" --brand_transform false --clause_weak_htbl true --comb_inst_mult 100 --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 --gc_record_bc_elim false --inst_activity_threshold 1000 --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 100 --inst_lit_activity_flag false --inst_lit_sel "[+non_prol_conj_symb;+prop]" --inst_lit_sel_side num_var --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-has_eq;+conj_symb;-num_lits];[+conj_non_prolific_symb;-num_lits;-conj_dist]]" --inst_passive_queues_freq "[10;2]" --inst_prop_sim_given false --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_sos_phase true --inst_sos_sth_lit_sel "[+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]" --inst_start_prop_sim_after_learn 10 --inst_subs_given false --inst_subs_new false --instantiation_flag true --large_theory_mode true --lt_threshold 2000 --min_unsat_core false --non_eq_to_eq false --pred_elim true --prep_def_merge false --prep_def_merge_mbd false --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim false --prep_res_sim false --prep_sem_filter neg --prep_sem_filter_out false --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessed_out false --preprocessed_stats false --preprocessing_flag true --prolific_symb_bound 500 --prop_impl_unit "[]" --prop_impl_unit_size 0 --prop_solver_per_cl 1000 --pure_diseq_elim true --res_backward_subs subset_subsumption --res_backward_subs_resolution false --res_forward_subs subset_subsumption --res_forward_subs_resolution true --res_lit_sel neg_nrc --res_lit_sel_side cnt --res_ordering kbo --res_orphan_elimination false --res_passive_queue_type priority_queues --res_passive_queues "[[-num_lits;-num_var;+horn];[-ground;+conj_symb;+conj_dist]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input false --res_time_limit 300. --res_to_prop_solver none --reset_solvers false --resolution_flag true --schedule none --share_sel_clauses false --smt_ac_axioms fast --smt_preprocessing true --soft_assumptions false --soft_lemma_size 3 --splitting_cvd false --splitting_cvd_svl true --splitting_grd true --splitting_mode input --splitting_nvd 128 --sub_typing true --subs_bck_mult 8 --sup_full_bw "[BwDemod;BwUnitSubsAndRes]" --sup_full_fixpoint true --sup_full_fw "[ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[BwUnitSubsAndRes]" --sup_immed_bw_main "[BwUnitSubsAndRes]" --sup_immed_fixpoint false --sup_immed_fw_immed "[ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes]" --sup_immed_fw_main "[FwUnitSubsAndRes]" --sup_immed_triv "[]" --sup_indices_passive "[LightNormIndex;UnitSubsumptionIndex]" --sup_input_bw "[BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]" --sup_input_fixpoint true --sup_input_fw "[ACNormalisation;FwACDemod;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_main_fixpoint true --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;1;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 3 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 50000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag false --time_out_prep_mult 0.2 --suppress_sat_res true --tptp_safe_out true --stats_out none --out_options none --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 2.00" --time_out_real 6.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/k33x812n 2>> /export/starexec/sandbox2/tmp/iprover_out_x_6nv6ot/k33x812n_error
% 113.04/32.18 % SZS status Theorem for theBenchmark.p
% 113.04/32.18
% 113.04/32.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 113.04/32.18
% 113.04/32.18 % ------ iProver source info
% 113.04/32.18
% 113.04/32.18 % git: date: 2026-07-19 20:42:38 +0200
% 113.04/32.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 113.04/32.18 % git: non_committed_changes: false
% 113.04/32.18
% 113.04/32.18 % ------ Parsing...
% 113.04/32.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 113.04/32.18
% 113.04/32.18 % ------ Preprocessing... sup_sim: 117 sf_s rm: 20 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 113.04/32.18
% 113.04/32.18 % ------ Preprocessing... gs_s sp: 54 0s gs_e snvd_s sp: 0 0s snvd_e %
% 113.04/32.18
% 113.04/32.18 % ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 113.04/32.18 % ------ Proving...
% 113.04/32.18 % ------ Problem Properties
% 113.04/32.18
% 113.04/32.18 %
% 113.04/32.18 % clauses 2247
% 113.04/32.18 % conjectures 7
% 113.04/32.18 % EPR 366
% 113.04/32.18 % Horn 1245
% 113.04/32.18 % unary 279
% 113.04/32.18 % binary 436
% 113.04/32.18 % lits 10069
% 113.04/32.18 % lits eq 1190
% 113.04/32.18 % fd_pure 0
% 113.04/32.18 % fd_pseudo 0
% 113.04/32.18 % fd_cond 112
% 113.04/32.18 % fd_pseudo_cond 263
% 113.04/32.18 % AC symbols 1
% 113.04/32.18
% 113.04/32.18 % ------ Schedule dynamic 5 is on
% 113.04/32.18
% 113.04/32.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 113.04/32.18
% 113.04/32.18
% 113.04/32.18 % ------
% 113.04/32.18 % Current options:
% 113.04/32.18 % ------
% 113.04/32.18
% 113.04/32.18
% 113.04/32.18 %
% 113.04/32.18
% 113.04/32.18 % ------ Proving...
% 113.04/32.18 % Proof_search_loop: time out after: 7717 full_loop iterations
% 113.04/32.18
% 113.04/32.18 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 113.04/32.18
% 113.04/32.18
% 113.04/32.18 % ------
% 113.04/32.18 % Current options:
% 113.04/32.18 % ------
% 113.04/32.18
% 113.04/32.18
% 113.04/32.18 %
% 113.04/32.18
% 113.04/32.18 % ------ Proving...
% 113.04/32.18 %
% 113.04/32.18
% 113.04/32.18 % SZS status Theorem for theBenchmark.p
% 113.04/32.18
% 113.04/32.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 238.33/32.49
% 238.33/32.49
%------------------------------------------------------------------------------